{"id":1,"expression_no_base_symbol":"(($5340$-$2159$)-$5433$⋥≓≎$9474$)⪒($1927$≧⫂∧$2148$)↬(↯⪼$5734$)⨵⪆(($1931$⨎$4926$)⩚⊴⇥($7185$⫥∨⫟$2584$)⪐)","expression":"((⫖↰⪸3110-⫖↰⪸12BB)-⫖↰⪸3189⋥≓≎⫖↰⪸5596)⪒(⫖↰⪸1147≧⫂∧⫖↰⪸12B0)↬(↯⪼⫖↰⪸339A)⨵⪆((⫖↰⪸114B⨎⫖↰⪸2A26)⩚⊴⇥(⫖↰⪸41A9⫥∨⫟⫖↰⪸15B4)⪐)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":203,"operation_count":12,"complexity_ratio":16.916666666666668,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5340,"base":12},"right_expr":{"type":"numeric_atoms","value":2159,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5433,"base":12},"right_expr":{"type":"numeric_atoms","value":9474,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1927,"base":12},"right_expr":{"type":"numeric_atoms","value":2148,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5734,"base":12}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1931,"base":12},"right_expr":{"type":"numeric_atoms","value":4926,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7185,"base":12},"right_expr":{"type":"numeric_atoms","value":2584,"base":12}}}}},"used_operators":["2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","Qy55tPpLXF","B5M0gjZbta","Ph9nP6C5qx","8jW3W4yZS5","eH2TOUuTDT","NTOWxs364D","rJVOvQCfKK","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5340","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=5340, right_input=2159, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3181","layer":3},{"info":"number node, value=5433","layer":4},{"info":"number node, value=9474","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=9474, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13548","layer":3},{"info":"compute binary expreesion, left_input=3181, right_input=13548, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10367","layer":2},{"info":"number node, value=1927","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=2148, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1675","layer":3},{"info":"number node, value=5734","layer":4},{"info":"compute unary expreesion, input=5734, 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=1675, right_input=-21, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10367, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1931","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=4926, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4926","layer":3},{"info":"number node, value=7185","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=7185, right_input=2584, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4926, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3110-⫖↰⪸12BB)-⫖↰⪸3189⋥≓≎⫖↰⪸5596)⪒(⫖↰⪸1147≧⫂∧⫖↰⪸12B0)↬(↯⪼⫖↰⪸339A)⨵⪆((⫖↰⪸114B⨎⫖↰⪸2A26)⩚⊴⇥(⫖↰⪸41A9⫥∨⫟⫖↰⪸15B4)⪐)=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫖↰⪸3110-⫖↰⪸12BB)-⫖↰⪸3189⋥≓≎⫖↰⪸5596)⪒(⫖↰⪸1147≧⫂∧⫖↰⪸12B0)↬(↯⪼⫖↰⪸339A)⨵⪆((⫖↰⪸114B⨎⫖↰⪸2A26)⩚⊴⇥(⫖↰⪸41A9⫥∨⫟⫖↰⪸15B4)⪐)","cot":[{"info":"⫖↰⪸3110-⫖↰⪸12BB=⫖↰⪸1A11","layer":3},{"info":"⫖↰⪸3189⋥≓≎⫖↰⪸5596=⫖↰⪸7A10","layer":3},{"info":"⫖↰⪸1A11-⫖↰⪸7A10=⫖↰⪸-5BBB","layer":2},{"info":"⫖↰⪸1147≧⫂∧⫖↰⪸12B0=⫖↰⪸B77","layer":3},{"info":"↯⪼⫖↰⪸339A=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸B77↬⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸-5BBB⪒NaN=NaN","layer":1},{"info":"⫖↰⪸114B⨎⫖↰⪸2A26=⫖↰⪸2A26","layer":3},{"info":"⫖↰⪸41A9⫥∨⫟⫖↰⪸15B4=NaN","layer":3},{"info":"⫖↰⪸2A26⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":2,"expression_no_base_symbol":"($3100$⫌⩹⨱)↬($4158$⩷∴$6661$)⋳⪒($2613$⊴$1486$⋷$2727$⪛$1261$)+(⇁⨣⪵((≉$3376$)%($4469$≦≮≮)))","expression":"(⫖↰⪸1964⫌⩹⨱)↬(⫖↰⪸24A6⩷∴⫖↰⪸3A31)⋳⪒(⫖↰⪸1619⊴⫖↰⪸A3A⋷⫖↰⪸16B3⪛⫖↰⪸891)+(⇁⨣⪵((≉⫖↰⪸1B54)%(⫖↰⪸2705≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1760,"operation_count":12,"complexity_ratio":146.66666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3100,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4158,"base":12},"right_expr":{"type":"numeric_atoms","value":6661,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2613,"base":12},"right_expr":{"type":"numeric_atoms","value":1486,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2727,"base":12},"right_expr":{"type":"numeric_atoms","value":1261,"base":12}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3376,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4469,"base":12}}}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","B5M0gjZbta","EBcxylXtPf","9FxExcQeMw","23Mk6UjR3U","Nsiff2A1zJ","uFcxV4UQCh","inkyxCbjAn","k8jYdgA6NY","e1ybzncUwg","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3100","layer":4},{"info":"compute unary expreesion, input=3100, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7601","layer":3},{"info":"number node, value=4158","layer":4},{"info":"number node, value=6661","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=6661, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5038","layer":3},{"info":"compute binary expreesion, left_input=7601, right_input=-5038, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2613","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=2613, right_input=1486, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2727","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1261, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=205","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=205, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3376","layer":4},{"info":"compute unary expreesion, input=3376, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3907","layer":3},{"info":"number node, value=4469","layer":4},{"info":"compute unary expreesion, input=4469, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13407","layer":3},{"info":"compute binary expreesion, left_input=3907, right_input=-13407, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-9500","layer":2},{"info":"compute unary expreesion, input=-9500, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1964⫌⩹⨱)↬(⫖↰⪸24A6⩷∴⫖↰⪸3A31)⋳⪒(⫖↰⪸1619⊴⫖↰⪸A3A⋷⫖↰⪸16B3⪛⫖↰⪸891)+(⇁⨣⪵((≉⫖↰⪸1B54)%(⫖↰⪸2705≦≮≮)))=NaN","reverse_text":"NaN=(⫖↰⪸1964⫌⩹⨱)↬(⫖↰⪸24A6⩷∴⫖↰⪸3A31)⋳⪒(⫖↰⪸1619⊴⫖↰⪸A3A⋷⫖↰⪸16B3⪛⫖↰⪸891)+(⇁⨣⪵((≉⫖↰⪸1B54)%(⫖↰⪸2705≦≮≮)))","cot":[{"info":"⫖↰⪸1964⫌⩹⨱=⫖↰⪸4495","layer":3},{"info":"⫖↰⪸24A6⩷∴⫖↰⪸3A31=⫖↰⪸-2ABA","layer":3},{"info":"⫖↰⪸4495↬⫖↰⪸-2ABA=NaN","layer":2},{"info":"⫖↰⪸1619⊴⫖↰⪸A3A=NaN","layer":3},{"info":"⫖↰⪸16B3⪛⫖↰⪸891=⫖↰⪸151","layer":3},{"info":"NaN⋷⫖↰⪸151=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"≉⫖↰⪸1B54=⫖↰⪸2317","layer":3},{"info":"⫖↰⪸2705≦≮≮=⫖↰⪸-7913","layer":3},{"info":"⫖↰⪸2317%⫖↰⪸-7913=⫖↰⪸-55B8","layer":2},{"info":"⇁⨣⪵⫖↰⪸-55B8=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"(⊄⩳↩($2552$⫩⊇)⪮%⊝(⨞⊢$2169$))⇼⇔∾(⩦⩻⨪(⫓⪴($3348$⩷∴$1791$)))","expression":"(⊄⩳↩(⫖↰⪸1588⫩⊇)⪮%⊝(⨞⊢⫖↰⪸1309))⇼⇔∾(⩦⩻⨪(⫓⪴(⫖↰⪸1B30⩷∴⫖↰⪸1053)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3109,"operation_count":8,"complexity_ratio":388.625,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2552,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2169,"base":12}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3348,"base":12},"right_expr":{"type":"numeric_atoms","value":1791,"base":12}}}}},"used_operators":["tifHPKVTfV","8w2t5hMYqp","IWmyXbctLI","BjRHVeLaeN","xUOZtlo3hN","2td37pGCOC","eLxqMNBOBk","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z"],"result":"⫖↰⪸3214944","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2552","layer":4},{"info":"compute unary expreesion, input=2552, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2510","layer":3},{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2343","layer":3},{"info":"compute binary expreesion, left_input=-2510, right_input=-2343, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-4704","layer":2},{"info":"compute unary expreesion, input=-4704, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=14112","layer":1},{"info":"number node, value=3348","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=1791, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3082","layer":3},{"info":"compute unary expreesion, input=3082, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9498724","layer":2},{"info":"compute unary expreesion, input=9498724, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=9498724","layer":1},{"info":"compute binary expreesion, left_input=14112, right_input=9498724, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9484612","layer":0}],"base":12,"result_base":12,"text":"(⊄⩳↩(⫖↰⪸1588⫩⊇)⪮%⊝(⨞⊢⫖↰⪸1309))⇼⇔∾(⩦⩻⨪(⫓⪴(⫖↰⪸1B30⩷∴⫖↰⪸1053)))=⫖↰⪸3214944","reverse_text":"⫖↰⪸3214944=(⊄⩳↩(⫖↰⪸1588⫩⊇)⪮%⊝(⨞⊢⫖↰⪸1309))⇼⇔∾(⩦⩻⨪(⫓⪴(⫖↰⪸1B30⩷∴⫖↰⪸1053)))","cot":[{"info":"⫖↰⪸1588⫩⊇=⫖↰⪸-1552","layer":3},{"info":"⨞⊢⫖↰⪸1309=⫖↰⪸-1433","layer":3},{"info":"⫖↰⪸-1552⪮%⊝⫖↰⪸-1433=⫖↰⪸-2880","layer":2},{"info":"⊄⩳↩⫖↰⪸-2880=⫖↰⪸8200","layer":1},{"info":"⫖↰⪸1B30⩷∴⫖↰⪸1053=⫖↰⪸194A","layer":3},{"info":"⫓⪴⫖↰⪸194A=⫖↰⪸3220B44","layer":2},{"info":"⩦⩻⨪⫖↰⪸3220B44=⫖↰⪸3220B44","layer":1},{"info":"⫖↰⪸8200⇼⇔∾⫖↰⪸3220B44=⫖↰⪸3214944","layer":0}]}
{"id":4,"expression_no_base_symbol":"((⨞⊢$2571$⩚⊴⇥$1129$)∸)⪒(≦∁(($1102$⨽$7914$)⊪))","expression":"((⨞⊢⫖↰⪸15A3⩚⊴⇥⫖↰⪸7A1)∸)⪒(≦∁((⫖↰⪸77A⨽⫖↰⪸46B6)⊪))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10998234,"operation_count":7,"complexity_ratio":1571176.2857142857,"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":2571,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1102,"base":12},"right_expr":{"type":"numeric_atoms","value":7914,"base":12}}}}},"used_operators":["f6k1SAg4EE","o20kRiQErp","xUOZtlo3hN","NTOWxs364D","9ICcGScMcE","zVYPLywUTj","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2571","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=1129, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3821","layer":3},{"info":"compute unary expreesion, input=-3821, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=3647","layer":2},{"info":"compute unary expreesion, input=3647, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1102","layer":4},{"info":"number node, value=7914","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=7914, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3665640","layer":3},{"info":"compute unary expreesion, input=-3665640, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=inf, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"((⨞⊢⫖↰⪸15A3⩚⊴⇥⫖↰⪸7A1)∸)⪒(≦∁((⫖↰⪸77A⨽⫖↰⪸46B6)⊪))=-Inf","reverse_text":"-Inf=((⨞⊢⫖↰⪸15A3⩚⊴⇥⫖↰⪸7A1)∸)⪒(≦∁((⫖↰⪸77A⨽⫖↰⪸46B6)⊪))","cot":[{"info":"⫖↰⪸15A3⩚⊴⇥⫖↰⪸7A1=⫖↰⪸-2265","layer":3},{"info":"⨞⊢⫖↰⪸-2265=⫖↰⪸213B","layer":2},{"info":"⫖↰⪸213B∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸77A⨽⫖↰⪸46B6=⫖↰⪸-12893A0","layer":3},{"info":"⫖↰⪸-12893A0⊪=Inf","layer":2},{"info":"≦∁Inf=Inf","layer":1},{"info":"⫖↰⪸129⪒Inf=-Inf","layer":0}]}
{"id":5,"expression_no_base_symbol":"≉($2439$⫸⊐$3246$)⪛($3730$⋓$5220$)≎⊠⪸($1190$⪘⫢$2108$⫥∨⫟$1937$⨟⋌⩍$4493$)","expression":"≉(⫖↰⪸14B3⫸⊐⫖↰⪸1A66)⪛(⫖↰⪸21AA⋓⫖↰⪸3030)≎⊠⪸(⫖↰⪸832⪘⫢⫖↰⪸1278⫥∨⫟⫖↰⪸1155⨟⋌⩍⫖↰⪸2725)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":224,"operation_count":8,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2439,"base":12},"right_expr":{"type":"numeric_atoms","value":3246,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3730,"base":12},"right_expr":{"type":"numeric_atoms","value":5220,"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":2108,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1937,"base":12},"right_expr":{"type":"numeric_atoms","value":4493,"base":12}}}}},"used_operators":["e1ybzncUwg","bJkvcejdHO","uFcxV4UQCh","mqXw5SEYmG","T2fj7uvVaJ","KYD54nUTWz","oacrs7FA3X","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr"],"result":"⫖↰⪸41A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2439","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=3246, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12859","layer":3},{"info":"number node, value=3730","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=5220, 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=12859, 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=1190","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=2108, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2256","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=4493","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=4493, 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=2256, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=598","layer":0}],"base":12,"result_base":12,"text":"≉(⫖↰⪸14B3⫸⊐⫖↰⪸1A66)⪛(⫖↰⪸21AA⋓⫖↰⪸3030)≎⊠⪸(⫖↰⪸832⪘⫢⫖↰⪸1278⫥∨⫟⫖↰⪸1155⨟⋌⩍⫖↰⪸2725)=⫖↰⪸41A","reverse_text":"⫖↰⪸41A=≉(⫖↰⪸14B3⫸⊐⫖↰⪸1A66)⪛(⫖↰⪸21AA⋓⫖↰⪸3030)≎⊠⪸(⫖↰⪸832⪘⫢⫖↰⪸1278⫥∨⫟⫖↰⪸1155⨟⋌⩍⫖↰⪸2725)","cot":[{"info":"⫖↰⪸14B3⫸⊐⫖↰⪸1A66=⫖↰⪸7537","layer":3},{"info":"⫖↰⪸21AA⋓⫖↰⪸3030=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7537⪛⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸832⪘⫢⫖↰⪸1278=⫖↰⪸1380","layer":3},{"info":"⫖↰⪸1155⨟⋌⩍⫖↰⪸2725=NaN","layer":3},{"info":"⫖↰⪸1380⫥∨⫟NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"≉⫖↰⪸57=⫖↰⪸41A","layer":0}]}
{"id":6,"expression_no_base_symbol":"≤/($4346$≧⫂∧$5710$⨎$2896$⩷∴$1552$⪒(⨑⩽⪐$1038$)⨟⋌⩍(∂$1622$))","expression":"≤/(⫖↰⪸2622≧⫂∧⫖↰⪸337A⨎⫖↰⪸1814⩷∴⫖↰⪸A94⪒(⨑⩽⪐⫖↰⪸726)⨟⋌⩍(∂⫖↰⪸B32))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18,"operation_count":8,"complexity_ratio":2.25,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4346,"base":12},"right_expr":{"type":"numeric_atoms","value":5710,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2896,"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":1038,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1622,"base":12}}}}},"used_operators":["eLAdDNolq6","f6k1SAg4EE","rJVOvQCfKK","Ph9nP6C5qx","9FxExcQeMw","rGHVDoGpnC","AF7qkfDlqP","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4346","layer":4},{"info":"number node, value=5710","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=5710, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5237","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=1552, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2656","layer":3},{"info":"compute binary expreesion, left_input=5237, right_input=2656, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2656","layer":2},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-765","layer":3},{"info":"number node, value=1622","layer":4},{"info":"compute unary expreesion, input=1622, 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=-765, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2656, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/(⫖↰⪸2622≧⫂∧⫖↰⪸337A⨎⫖↰⪸1814⩷∴⫖↰⪸A94⪒(⨑⩽⪐⫖↰⪸726)⨟⋌⩍(∂⫖↰⪸B32))=NaN","reverse_text":"NaN=≤/(⫖↰⪸2622≧⫂∧⫖↰⪸337A⨎⫖↰⪸1814⩷∴⫖↰⪸A94⪒(⨑⩽⪐⫖↰⪸726)⨟⋌⩍(∂⫖↰⪸B32))","cot":[{"info":"⫖↰⪸2622≧⫂∧⫖↰⪸337A=⫖↰⪸3045","layer":3},{"info":"⫖↰⪸1814⩷∴⫖↰⪸A94=⫖↰⪸1654","layer":3},{"info":"⫖↰⪸3045⨎⫖↰⪸1654=⫖↰⪸1654","layer":2},{"info":"⨑⩽⪐⫖↰⪸726=⫖↰⪸-539","layer":3},{"info":"∂⫖↰⪸B32=NaN","layer":3},{"info":"⫖↰⪸-539⨟⋌⩍NaN=NaN","layer":2},{"info":"⫖↰⪸1654⪒NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"(($1689$⊘)⨎($5462$⋳⪒$2255$))⪘⫢(($1295$-$2263$)↺($4904$⫸⊐$1342$))⋳⪒(($2884$≣⋋)↙$1969$⋳⪒$1055$)⪢((⪝⪂⫅$1130$)⊠≄⫣)","expression":"((⫖↰⪸B89⊘)⨎(⫖↰⪸31B2⋳⪒⫖↰⪸137B))⪘⫢((⫖↰⪸8BB-⫖↰⪸1387)↺(⫖↰⪸2A08⫸⊐⫖↰⪸93A))⋳⪒((⫖↰⪸1804≣⋋)↙⫖↰⪸1181⋳⪒⫖↰⪸73B)⪢((⪝⪂⫅⫖↰⪸7A2)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":752,"operation_count":14,"complexity_ratio":53.714285714285715,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1689,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5462,"base":12},"right_expr":{"type":"numeric_atoms","value":2255,"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":2263,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4904,"base":12},"right_expr":{"type":"numeric_atoms","value":1342,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2884,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1969,"base":12},"right_expr":{"type":"numeric_atoms","value":1055,"base":12}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1130,"base":12}}}}},"used_operators":["12rbrZMWeM","oacrs7FA3X","rJVOvQCfKK","gu96TGCTMs","7j4O788W3g","rysDP5nf3Z","mqXw5SEYmG","dWAJyo7jo9","yyfyN0ffXY","Tcnh7f0tEr","DIvbN7qnHd","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸17115","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=5462","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=5462, right_input=2255, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8382","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8382, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8382","layer":2},{"info":"number node, value=1295","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2263, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-968","layer":3},{"info":"number node, value=4904","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=4904, right_input=1342, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5243","layer":3},{"info":"compute binary expreesion, left_input=-968, right_input=5243, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5243","layer":2},{"info":"compute binary expreesion, left_input=8382, right_input=5243, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16640","layer":1},{"info":"number node, value=2884","layer":4},{"info":"compute unary expreesion, input=2884, 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=1969","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1055, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2596","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2596, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-166110","layer":3},{"info":"compute unary expreesion, input=-166110, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=16640, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=32993","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B89⊘)⨎(⫖↰⪸31B2⋳⪒⫖↰⪸137B))⪘⫢((⫖↰⪸8BB-⫖↰⪸1387)↺(⫖↰⪸2A08⫸⊐⫖↰⪸93A))⋳⪒((⫖↰⪸1804≣⋋)↙⫖↰⪸1181⋳⪒⫖↰⪸73B)⪢((⪝⪂⫅⫖↰⪸7A2)⊠≄⫣)=⫖↰⪸17115","reverse_text":"⫖↰⪸17115=((⫖↰⪸B89⊘)⨎(⫖↰⪸31B2⋳⪒⫖↰⪸137B))⪘⫢((⫖↰⪸8BB-⫖↰⪸1387)↺(⫖↰⪸2A08⫸⊐⫖↰⪸93A))⋳⪒((⫖↰⪸1804≣⋋)↙⫖↰⪸1181⋳⪒⫖↰⪸73B)⪢((⪝⪂⫅⫖↰⪸7A2)⊠≄⫣)","cot":[{"info":"⫖↰⪸B89⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸31B2⋳⪒⫖↰⪸137B=⫖↰⪸4A26","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸4A26=⫖↰⪸4A26","layer":2},{"info":"⫖↰⪸8BB-⫖↰⪸1387=⫖↰⪸-688","layer":3},{"info":"⫖↰⪸2A08⫸⊐⫖↰⪸93A=⫖↰⪸304B","layer":3},{"info":"⫖↰⪸-688↺⫖↰⪸304B=⫖↰⪸304B","layer":2},{"info":"⫖↰⪸4A26⪘⫢⫖↰⪸304B=⫖↰⪸9768","layer":1},{"info":"⫖↰⪸1804≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1181⋳⪒⫖↰⪸73B=⫖↰⪸1604","layer":3},{"info":"⫖↰⪸0↙⫖↰⪸1604=⫖↰⪸0","layer":2},{"info":"⪝⪂⫅⫖↰⪸7A2=⫖↰⪸-80166","layer":3},{"info":"⫖↰⪸-80166⊠≄⫣=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⪢⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸9768⋳⪒⫖↰⪸0=⫖↰⪸17115","layer":0}]}
{"id":8,"expression_no_base_symbol":"⨈⫕(($1785$≧⫂∧$3414$)∑⇟⊟(≉$3730$)⊦⊿)","expression":"⨈⫕((⫖↰⪸1049≧⫂∧⫖↰⪸1B86)∑⇟⊟(≉⫖↰⪸21AA)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":396,"operation_count":5,"complexity_ratio":79.2,"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":1785,"base":12},"right_expr":{"type":"numeric_atoms","value":3414,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3730,"base":12}}}}},"used_operators":["megm06wKyl","14qkJME0vr","U7g4x0WXJJ","Ph9nP6C5qx","e1ybzncUwg"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1785","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=3414, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2941","layer":3},{"info":"number node, value=3730","layer":4},{"info":"compute unary expreesion, input=3730, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4261","layer":3},{"info":"compute binary expreesion, left_input=2941, right_input=4261, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"⨈⫕((⫖↰⪸1049≧⫂∧⫖↰⪸1B86)∑⇟⊟(≉⫖↰⪸21AA)⊦⊿)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕((⫖↰⪸1049≧⫂∧⫖↰⪸1B86)∑⇟⊟(≉⫖↰⪸21AA)⊦⊿)","cot":[{"info":"⫖↰⪸1049≧⫂∧⫖↰⪸1B86=⫖↰⪸1851","layer":3},{"info":"≉⫖↰⪸21AA=⫖↰⪸2571","layer":3},{"info":"⫖↰⪸1851∑⇟⊟⫖↰⪸2571=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":9,"expression_no_base_symbol":"(⋗⩬⋾(($4347$⪒$1771$)⨸⪁($1036$%$5195$)))⩠","expression":"(⋗⩬⋾((⫖↰⪸2623⪒⫖↰⪸1037)⨸⪁(⫖↰⪸724%⫖↰⪸300B)))⩠","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":28,"operation_count":5,"complexity_ratio":5.6,"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":4347,"base":12},"right_expr":{"type":"numeric_atoms","value":1771,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1036,"base":12},"right_expr":{"type":"numeric_atoms","value":5195,"base":12}}}}},"used_operators":["sJAwomhLZr","DpFCA1CohY","g55IO6H4Gj","f6k1SAg4EE","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4347","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=1771, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6118","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=5195","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=5195, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1036","layer":3},{"info":"compute binary expreesion, left_input=-6118, right_input=1036, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-10164","layer":2},{"info":"compute unary expreesion, input=-10164, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=30492","layer":1},{"info":"compute unary expreesion, input=30492, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾((⫖↰⪸2623⪒⫖↰⪸1037)⨸⪁(⫖↰⪸724%⫖↰⪸300B)))⩠=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⋗⩬⋾((⫖↰⪸2623⪒⫖↰⪸1037)⨸⪁(⫖↰⪸724%⫖↰⪸300B)))⩠","cot":[{"info":"⫖↰⪸2623⪒⫖↰⪸1037=⫖↰⪸-365A","layer":3},{"info":"⫖↰⪸724%⫖↰⪸300B=⫖↰⪸724","layer":3},{"info":"⫖↰⪸-365A⨸⪁⫖↰⪸724=⫖↰⪸-5A70","layer":2},{"info":"⋗⩬⋾⫖↰⪸-5A70=⫖↰⪸15790","layer":1},{"info":"⫖↰⪸15790⩠=⫖↰⪸0","layer":0}]}
{"id":10,"expression_no_base_symbol":"(($7207$⨵⪆$1401$)⨟⋌⩍($7266$⋳⪒$3359$)+($1055$⋥≓≎$1325$)⪛($3133$⪛$3066$))∑⇟⊟(($5151$⨎$2057$⊭↱($5155$⨸⪁$1167$))⫩⊇)","expression":"((⫖↰⪸4207⨵⪆⫖↰⪸989)⨟⋌⩍(⫖↰⪸4256⋳⪒⫖↰⪸1B3B)+(⫖↰⪸73B⋥≓≎⫖↰⪸925)⪛(⫖↰⪸1991⪛⫖↰⪸1936))∑⇟⊟((⫖↰⪸2B93⨎⫖↰⪸1235⊭↱(⫖↰⪸2B97⨸⪁⫖↰⪸813))⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58,"operation_count":12,"complexity_ratio":4.833333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7207,"base":12},"right_expr":{"type":"numeric_atoms","value":1401,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7266,"base":12},"right_expr":{"type":"numeric_atoms","value":3359,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1055,"base":12},"right_expr":{"type":"numeric_atoms","value":1325,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3133,"base":12},"right_expr":{"type":"numeric_atoms","value":3066,"base":12}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5151,"base":12},"right_expr":{"type":"numeric_atoms","value":2057,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5155,"base":12},"right_expr":{"type":"numeric_atoms","value":1167,"base":12}}}}},"used_operators":["U7g4x0WXJJ","W4YGzv6Whe","rGHVDoGpnC","2DQ55sFlQl","12rbrZMWeM","uFcxV4UQCh","Qy55tPpLXF","BjRHVeLaeN","COABgblf1C","rJVOvQCfKK","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7207","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=7207, right_input=1401, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7266","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=7266, right_input=3359, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10886","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10886, 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=1055","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1325, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1628","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=3066, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=1628, right_input=67, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5151","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=5151, right_input=2057, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2057","layer":3},{"info":"number node, value=5155","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=5155, right_input=1167, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12644","layer":3},{"info":"compute binary expreesion, left_input=2057, right_input=12644, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21179","layer":2},{"info":"compute unary expreesion, input=21179, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-21137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21137, 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":"((⫖↰⪸4207⨵⪆⫖↰⪸989)⨟⋌⩍(⫖↰⪸4256⋳⪒⫖↰⪸1B3B)+(⫖↰⪸73B⋥≓≎⫖↰⪸925)⪛(⫖↰⪸1991⪛⫖↰⪸1936))∑⇟⊟((⫖↰⪸2B93⨎⫖↰⪸1235⊭↱(⫖↰⪸2B97⨸⪁⫖↰⪸813))⫩⊇)=NaN","reverse_text":"NaN=((⫖↰⪸4207⨵⪆⫖↰⪸989)⨟⋌⩍(⫖↰⪸4256⋳⪒⫖↰⪸1B3B)+(⫖↰⪸73B⋥≓≎⫖↰⪸925)⪛(⫖↰⪸1991⪛⫖↰⪸1936))∑⇟⊟((⫖↰⪸2B93⨎⫖↰⪸1235⊭↱(⫖↰⪸2B97⨸⪁⫖↰⪸813))⫩⊇)","cot":[{"info":"⫖↰⪸4207⨵⪆⫖↰⪸989=⫖↰⪸114","layer":3},{"info":"⫖↰⪸4256⋳⪒⫖↰⪸1B3B=⫖↰⪸6372","layer":3},{"info":"⫖↰⪸114⨟⋌⩍⫖↰⪸6372=NaN","layer":2},{"info":"⫖↰⪸73B⋥≓≎⫖↰⪸925=⫖↰⪸B38","layer":3},{"info":"⫖↰⪸1991⪛⫖↰⪸1936=⫖↰⪸57","layer":3},{"info":"⫖↰⪸B38⪛⫖↰⪸57=⫖↰⪸18","layer":2},{"info":"NaN+⫖↰⪸18=NaN","layer":1},{"info":"⫖↰⪸2B93⨎⫖↰⪸1235=⫖↰⪸1235","layer":3},{"info":"⫖↰⪸2B97⨸⪁⫖↰⪸813=⫖↰⪸7398","layer":3},{"info":"⫖↰⪸1235⊭↱⫖↰⪸7398=⫖↰⪸1030B","layer":2},{"info":"⫖↰⪸1030B⫩⊇=⫖↰⪸-10295","layer":1},{"info":"NaN∑⇟⊟⫖↰⪸-10295=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"(↥($1410$⋷$3083$⋷$3015$∑⇟⊟$1003$))⨸⪁($5993$↺$3774$)↬$5693$∼$4558$⩚⊴⇥($7944$⪮%⊝$5285$⨎($3182$↺$1209$))","expression":"(↥(⫖↰⪸996⋷⫖↰⪸194B⋷⫖↰⪸18B3∑⇟⊟⫖↰⪸6B7))⨸⪁(⫖↰⪸3575↺⫖↰⪸2226)↬⫖↰⪸3365∼⫖↰⪸277A⩚⊴⇥(⫖↰⪸4720⪮%⊝⫖↰⪸3085⨎(⫖↰⪸1A12↺⫖↰⪸849))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":142,"operation_count":12,"complexity_ratio":11.833333333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":3083,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3015,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5993,"base":12},"right_expr":{"type":"numeric_atoms","value":3774,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5693,"base":12},"right_expr":{"type":"numeric_atoms","value":4558,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7944,"base":12},"right_expr":{"type":"numeric_atoms","value":5285,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3182,"base":12},"right_expr":{"type":"numeric_atoms","value":1209,"base":12}}}}},"used_operators":["g55IO6H4Gj","A8NUZmVepG","23Mk6UjR3U","U7g4x0WXJJ","NTOWxs364D","B5M0gjZbta","7j4O788W3g","DyGG3AbaNP","rJVOvQCfKK","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=3083, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4756","layer":3},{"info":"number node, value=3015","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=1003, 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=4756, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=5993","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=5993, right_input=3774, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3774","layer":3},{"info":"number node, value=5693","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=5693, right_input=4558, 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=3774, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=7944","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=7944, right_input=5285, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16204","layer":3},{"info":"number node, value=3182","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=1209, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1209","layer":3},{"info":"compute binary expreesion, left_input=16204, right_input=1209, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1209","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1209, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↥(⫖↰⪸996⋷⫖↰⪸194B⋷⫖↰⪸18B3∑⇟⊟⫖↰⪸6B7))⨸⪁(⫖↰⪸3575↺⫖↰⪸2226)↬⫖↰⪸3365∼⫖↰⪸277A⩚⊴⇥(⫖↰⪸4720⪮%⊝⫖↰⪸3085⨎(⫖↰⪸1A12↺⫖↰⪸849))=NaN","reverse_text":"NaN=(↥(⫖↰⪸996⋷⫖↰⪸194B⋷⫖↰⪸18B3∑⇟⊟⫖↰⪸6B7))⨸⪁(⫖↰⪸3575↺⫖↰⪸2226)↬⫖↰⪸3365∼⫖↰⪸277A⩚⊴⇥(⫖↰⪸4720⪮%⊝⫖↰⪸3085⨎(⫖↰⪸1A12↺⫖↰⪸849))","cot":[{"info":"⫖↰⪸996⋷⫖↰⪸194B=⫖↰⪸2904","layer":3},{"info":"⫖↰⪸18B3∑⇟⊟⫖↰⪸6B7=NaN","layer":3},{"info":"⫖↰⪸2904⋷NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⫖↰⪸3575↺⫖↰⪸2226=⫖↰⪸2226","layer":3},{"info":"⫖↰⪸3365∼⫖↰⪸277A=NaN","layer":3},{"info":"⫖↰⪸2226↬NaN=NaN","layer":2},{"info":"⫖↰⪸4720⪮%⊝⫖↰⪸3085=⫖↰⪸9464","layer":3},{"info":"⫖↰⪸1A12↺⫖↰⪸849=⫖↰⪸849","layer":3},{"info":"⫖↰⪸9464⨎⫖↰⪸849=⫖↰⪸849","layer":2},{"info":"NaN⩚⊴⇥⫖↰⪸849=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"⨈⫕(($5308$≎⊠⪸$1165$/($1652$⋷$1172$))≋⫹)","expression":"⨈⫕((⫖↰⪸30A4≎⊠⪸⫖↰⪸811/(⫖↰⪸B58⋷⫖↰⪸818))≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2647,"operation_count":5,"complexity_ratio":529.4,"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":5308,"base":12},"right_expr":{"type":"numeric_atoms","value":1165,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1652,"base":12},"right_expr":{"type":"numeric_atoms","value":1172,"base":12}}}}},"used_operators":["megm06wKyl","N41Kp7NANJ","XhwjNDsVaA","bJkvcejdHO","23Mk6UjR3U"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5308","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=5308, right_input=1165, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1374299","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1172, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=692","layer":3},{"info":"compute binary expreesion, left_input=1374299, right_input=692, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1985","layer":2},{"info":"compute unary expreesion, input=1985, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3970","layer":1},{"info":"compute unary expreesion, input=-3970, 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":"⨈⫕((⫖↰⪸30A4≎⊠⪸⫖↰⪸811/(⫖↰⪸B58⋷⫖↰⪸818))≋⫹)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕((⫖↰⪸30A4≎⊠⪸⫖↰⪸811/(⫖↰⪸B58⋷⫖↰⪸818))≋⫹)","cot":[{"info":"⫖↰⪸30A4≎⊠⪸⫖↰⪸811=⫖↰⪸56338B","layer":3},{"info":"⫖↰⪸B58⋷⫖↰⪸818=⫖↰⪸498","layer":3},{"info":"⫖↰⪸56338B/⫖↰⪸498=⫖↰⪸1195","layer":2},{"info":"⫖↰⪸1195≋⫹=⫖↰⪸-236A","layer":1},{"info":"⨈⫕⫖↰⪸-236A=⫖↰⪸-19","layer":0}]}
{"id":13,"expression_no_base_symbol":"⩦⩻⨪($2534$⩨$5404$)⊴($3962$⨓$2031$)⨎($2492$/$5863$)+⇶⊼($2060$⊭↱$6864$)","expression":"⩦⩻⨪(⫖↰⪸1572⩨⫖↰⪸3164)⊴(⫖↰⪸2362⨓⫖↰⪸1213)⨎(⫖↰⪸1538/⫖↰⪸3487)+⇶⊼(⫖↰⪸1238⊭↱⫖↰⪸3B80)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4094,"operation_count":8,"complexity_ratio":511.75,"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":2534,"base":12},"right_expr":{"type":"numeric_atoms","value":5404,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3962,"base":12},"right_expr":{"type":"numeric_atoms","value":2031,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2492,"base":12},"right_expr":{"type":"numeric_atoms","value":5863,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2060,"base":12},"right_expr":{"type":"numeric_atoms","value":6864,"base":12}}}}},"used_operators":["2td37pGCOC","rJVOvQCfKK","Nsiff2A1zJ","2DlMacCsIx","3ViojmjbAp","TpPTUOHfaN","XhwjNDsVaA","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2534","layer":4},{"info":"number node, value=5404","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=5404, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=3962","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=2031, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2034","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-2034, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2492","layer":4},{"info":"number node, value=5863","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=5863, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2060","layer":4},{"info":"number node, value=6864","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=6864, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9613","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9613, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⫖↰⪸1572⩨⫖↰⪸3164)⊴(⫖↰⪸2362⨓⫖↰⪸1213)⨎(⫖↰⪸1538/⫖↰⪸3487)+⇶⊼(⫖↰⪸1238⊭↱⫖↰⪸3B80)=NaN","reverse_text":"NaN=⩦⩻⨪(⫖↰⪸1572⩨⫖↰⪸3164)⊴(⫖↰⪸2362⨓⫖↰⪸1213)⨎(⫖↰⪸1538/⫖↰⪸3487)+⇶⊼(⫖↰⪸1238⊭↱⫖↰⪸3B80)","cot":[{"info":"⫖↰⪸1572⩨⫖↰⪸3164=⫖↰⪸-6","layer":3},{"info":"⫖↰⪸2362⨓⫖↰⪸1213=⫖↰⪸-1216","layer":3},{"info":"⫖↰⪸-6⊴⫖↰⪸-1216=NaN","layer":2},{"info":"⫖↰⪸1538/⫖↰⪸3487=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1238⊭↱⫖↰⪸3B80=⫖↰⪸5691","layer":3},{"info":"⫖↰⪸0+⇶⊼⫖↰⪸5691=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"∥⊫($4390$⋳⪒$1227$↺$1187$+⇶⊼$5117$)⪛($6361$⪄$1092$-(↯⪼$5756$))","expression":"∥⊫(⫖↰⪸265A⋳⪒⫖↰⪸863↺⫖↰⪸82B+⇶⊼⫖↰⪸2B65)⪛(⫖↰⪸3821⪄⫖↰⪸770-(↯⪼⫖↰⪸33B8))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":144,"operation_count":8,"complexity_ratio":18.0,"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":4390,"base":12},"right_expr":{"type":"numeric_atoms","value":1227,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1187,"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":6361,"base":12},"right_expr":{"type":"numeric_atoms","value":1092,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5756,"base":12}}}}},"used_operators":["P8v4zCKN1o","uFcxV4UQCh","7j4O788W3g","12rbrZMWeM","TpPTUOHfaN","rysDP5nf3Z","SUmda5xLS4","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4390","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=4390, right_input=1227, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7266","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=5117, 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=7266, 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=6361","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=6361, right_input=1092, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-941885","layer":3},{"info":"number node, value=5756","layer":4},{"info":"compute unary expreesion, input=5756, 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=-941885, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-941864","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-941864, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫(⫖↰⪸265A⋳⪒⫖↰⪸863↺⫖↰⪸82B+⇶⊼⫖↰⪸2B65)⪛(⫖↰⪸3821⪄⫖↰⪸770-(↯⪼⫖↰⪸33B8))=NaN","reverse_text":"NaN=∥⊫(⫖↰⪸265A⋳⪒⫖↰⪸863↺⫖↰⪸82B+⇶⊼⫖↰⪸2B65)⪛(⫖↰⪸3821⪄⫖↰⪸770-(↯⪼⫖↰⪸33B8))","cot":[{"info":"⫖↰⪸265A⋳⪒⫖↰⪸863=⫖↰⪸4256","layer":3},{"info":"⫖↰⪸82B+⇶⊼⫖↰⪸2B65=NaN","layer":3},{"info":"⫖↰⪸4256↺NaN=NaN","layer":2},{"info":"⫖↰⪸3821⪄⫖↰⪸770=⫖↰⪸-3950A5","layer":3},{"info":"↯⪼⫖↰⪸33B8=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-3950A5-⫖↰⪸-19=⫖↰⪸-395088","layer":2},{"info":"NaN⪛⫖↰⪸-395088=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":15,"expression_no_base_symbol":"(($1197$⫡⨏$1393$)⨰(↯⪼$1892$)≎⊠⪸($3581$⪢$6878$≭(⨵≀≌$1576$)))⊴((⇁⨣⪵$1492$⨽$4537$)⨵⪆(↔($1179$⋝⋈⪟$1268$)))","expression":"((⫖↰⪸839⫡⨏⫖↰⪸981)⨰(↯⪼⫖↰⪸1118)≎⊠⪸(⫖↰⪸20A5⪢⫖↰⪸3B92≭(⨵≀≌⫖↰⪸AB4)))⊴((⇁⨣⪵⫖↰⪸A44⨽⫖↰⪸2761)⨵⪆(↔(⫖↰⪸823⋝⋈⪟⫖↰⪸898)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8616,"operation_count":13,"complexity_ratio":662.7692307692307,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1197,"base":12},"right_expr":{"type":"numeric_atoms","value":1393,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1892,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3581,"base":12},"right_expr":{"type":"numeric_atoms","value":6878,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1576,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1492,"base":12},"right_expr":{"type":"numeric_atoms","value":4537,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1179,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}}}}},"used_operators":["Nsiff2A1zJ","bJkvcejdHO","eewbuw0ToL","QMFrweE19q","8jW3W4yZS5","rxpJgHHUmx","dWAJyo7jo9","srAu1WTS94","2DQ55sFlQl","inkyxCbjAn","8HhzD0ZcuI","ruOEQAzv1W","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1393, 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=9554","layer":3},{"info":"number node, value=1892","layer":4},{"info":"compute unary expreesion, input=1892, 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=9554, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9585","layer":2},{"info":"number node, value=3581","layer":4},{"info":"number node, value=6878","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=6878, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4728","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4728, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=9585, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1492","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=4537, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6690489","layer":3},{"info":"compute unary expreesion, input=-6690489, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1268, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1179","layer":3},{"info":"compute unary expreesion, input=1179, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-906","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-906, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸839⫡⨏⫖↰⪸981)⨰(↯⪼⫖↰⪸1118)≎⊠⪸(⫖↰⪸20A5⪢⫖↰⪸3B92≭(⨵≀≌⫖↰⪸AB4)))⊴((⇁⨣⪵⫖↰⪸A44⨽⫖↰⪸2761)⨵⪆(↔(⫖↰⪸823⋝⋈⪟⫖↰⪸898)))=NaN","reverse_text":"NaN=((⫖↰⪸839⫡⨏⫖↰⪸981)⨰(↯⪼⫖↰⪸1118)≎⊠⪸(⫖↰⪸20A5⪢⫖↰⪸3B92≭(⨵≀≌⫖↰⪸AB4)))⊴((⇁⨣⪵⫖↰⪸A44⨽⫖↰⪸2761)⨵⪆(↔(⫖↰⪸823⋝⋈⪟⫖↰⪸898)))","cot":[{"info":"⫖↰⪸839⫡⨏⫖↰⪸981=⫖↰⪸5642","layer":3},{"info":"↯⪼⫖↰⪸1118=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸5642⨰⫖↰⪸-19=⫖↰⪸5669","layer":2},{"info":"⫖↰⪸20A5⪢⫖↰⪸3B92=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸AB4=⫖↰⪸-28A0","layer":3},{"info":"NaN≭⫖↰⪸-28A0=NaN","layer":2},{"info":"⫖↰⪸5669≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸A44⨽⫖↰⪸2761=⫖↰⪸-22A7989","layer":3},{"info":"⇁⨣⪵⫖↰⪸-22A7989=NaN","layer":2},{"info":"⫖↰⪸823⋝⋈⪟⫖↰⪸898=⫖↰⪸823","layer":3},{"info":"↔⫖↰⪸823=⫖↰⪸-636","layer":2},{"info":"NaN⨵⪆⫖↰⪸-636=⫖↰⪸114","layer":1},{"info":"⫖↰⪸57⊴⫖↰⪸114=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"(($2958$+⇶⊼$2236$↺($2043$%$1185$))⪘⫢($5583$*$6982$)≹⇙⪍($5101$⊴$1555$))⊴(⨵≀≌($5691$∼$1093$⊭↱$2293$⋳⪒$1330$))","expression":"((⫖↰⪸1866+⇶⊼⫖↰⪸1364↺(⫖↰⪸1223%⫖↰⪸829))⪘⫢(⫖↰⪸3293*⫖↰⪸405A)≹⇙⪍(⫖↰⪸2B51⊴⫖↰⪸A97))⊴(⨵≀≌(⫖↰⪸3363∼⫖↰⪸771⊭↱⫖↰⪸13B1⋳⪒⫖↰⪸92A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14471,"operation_count":12,"complexity_ratio":1205.9166666666667,"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":2958,"base":12},"right_expr":{"type":"numeric_atoms","value":2236,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2043,"base":12},"right_expr":{"type":"numeric_atoms","value":1185,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5583,"base":12},"right_expr":{"type":"numeric_atoms","value":6982,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5101,"base":12},"right_expr":{"type":"numeric_atoms","value":1555,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5691,"base":12},"right_expr":{"type":"numeric_atoms","value":1093,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2293,"base":12},"right_expr":{"type":"numeric_atoms","value":1330,"base":12}}}}},"used_operators":["Nsiff2A1zJ","oacrs7FA3X","7j4O788W3g","TpPTUOHfaN","k8jYdgA6NY","AHs5Up7iyr","9HNa5Wba9A","srAu1WTS94","COABgblf1C","DyGG3AbaNP","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2958","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=2236, 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=2043","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=1185, op_id = k8jYdgA6NY binary_op_definition= 'None', output=858","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=858, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=858","layer":2},{"info":"number node, value=5583","layer":4},{"info":"number node, value=6982","layer":4},{"info":"compute binary expreesion, left_input=5583, right_input=6982, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=38980506","layer":3},{"info":"number node, value=5101","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=5101, right_input=1555, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=38980506, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=858, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=5691","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=5691, right_input=1093, 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=2293","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1330, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2969","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2969, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1866+⇶⊼⫖↰⪸1364↺(⫖↰⪸1223%⫖↰⪸829))⪘⫢(⫖↰⪸3293*⫖↰⪸405A)≹⇙⪍(⫖↰⪸2B51⊴⫖↰⪸A97))⊴(⨵≀≌(⫖↰⪸3363∼⫖↰⪸771⊭↱⫖↰⪸13B1⋳⪒⫖↰⪸92A))=NaN","reverse_text":"NaN=((⫖↰⪸1866+⇶⊼⫖↰⪸1364↺(⫖↰⪸1223%⫖↰⪸829))⪘⫢(⫖↰⪸3293*⫖↰⪸405A)≹⇙⪍(⫖↰⪸2B51⊴⫖↰⪸A97))⊴(⨵≀≌(⫖↰⪸3363∼⫖↰⪸771⊭↱⫖↰⪸13B1⋳⪒⫖↰⪸92A))","cot":[{"info":"⫖↰⪸1866+⇶⊼⫖↰⪸1364=NaN","layer":3},{"info":"⫖↰⪸1223%⫖↰⪸829=⫖↰⪸5B6","layer":3},{"info":"NaN↺⫖↰⪸5B6=⫖↰⪸5B6","layer":2},{"info":"⫖↰⪸3293*⫖↰⪸405A=⫖↰⪸1107A1B6","layer":3},{"info":"⫖↰⪸2B51⊴⫖↰⪸A97=NaN","layer":3},{"info":"⫖↰⪸1107A1B6≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸5B6⪘⫢NaN=NaN","layer":1},{"info":"⫖↰⪸3363∼⫖↰⪸771=NaN","layer":3},{"info":"⫖↰⪸13B1⋳⪒⫖↰⪸92A=⫖↰⪸1875","layer":3},{"info":"NaN⊭↱⫖↰⪸1875=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"(⋗⩬⋾(⇁⨣⪵$3271$⨳⩥⨓$1078$))⪮%⊝(($1217$⇋≉)+⇶⊼($6997$≋⫹)⨽(⨑⩽⪐($1535$⇼⇔∾$2908$)))","expression":"(⋗⩬⋾(⇁⨣⪵⫖↰⪸1A87⨳⩥⨓⫖↰⪸75A))⪮%⊝((⫖↰⪸855⇋≉)+⇶⊼(⫖↰⪸4071≋⫹)⨽(⨑⩽⪐(⫖↰⪸A7B⇼⇔∾⫖↰⪸1824)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39,"operation_count":10,"complexity_ratio":3.9,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3271,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1217,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6997,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1535,"base":12},"right_expr":{"type":"numeric_atoms","value":2908,"base":12}}}}},"used_operators":["IWmyXbctLI","DpFCA1CohY","inkyxCbjAn","nCS4ZIUYfx","8HhzD0ZcuI","TpPTUOHfaN","XIabStNQrY","N41Kp7NANJ","AF7qkfDlqP","tifHPKVTfV"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3271","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=1078, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2193","layer":3},{"info":"compute unary expreesion, input=-2193, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2336","layer":3},{"info":"number node, value=6997","layer":4},{"info":"compute unary expreesion, input=6997, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13994","layer":3},{"info":"compute binary expreesion, left_input=2336, right_input=-13994, 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=1535","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=2908, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1373","layer":3},{"info":"compute unary expreesion, input=1373, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1100","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1100, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾(⇁⨣⪵⫖↰⪸1A87⨳⩥⨓⫖↰⪸75A))⪮%⊝((⫖↰⪸855⇋≉)+⇶⊼(⫖↰⪸4071≋⫹)⨽(⨑⩽⪐(⫖↰⪸A7B⇼⇔∾⫖↰⪸1824)))=NaN","reverse_text":"NaN=(⋗⩬⋾(⇁⨣⪵⫖↰⪸1A87⨳⩥⨓⫖↰⪸75A))⪮%⊝((⫖↰⪸855⇋≉)+⇶⊼(⫖↰⪸4071≋⫹)⨽(⨑⩽⪐(⫖↰⪸A7B⇼⇔∾⫖↰⪸1824)))","cot":[{"info":"⫖↰⪸1A87⨳⩥⨓⫖↰⪸75A=⫖↰⪸-1329","layer":3},{"info":"⇁⨣⪵⫖↰⪸-1329=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫖↰⪸855⇋≉=⫖↰⪸1428","layer":3},{"info":"⫖↰⪸4071≋⫹=⫖↰⪸-8122","layer":3},{"info":"⫖↰⪸1428+⇶⊼⫖↰⪸-8122=NaN","layer":2},{"info":"⫖↰⪸A7B⇼⇔∾⫖↰⪸1824=⫖↰⪸965","layer":3},{"info":"⨑⩽⪐⫖↰⪸965=⫖↰⪸-778","layer":2},{"info":"NaN⨽⫖↰⪸-778=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"(($6086$∸)⩷∴($2532$⨁⊸⫻))⪘⫢(∥⊫$3775$)⪛(⨈⫕$5955$)↪⪝","expression":"((⫖↰⪸3632∸)⩷∴(⫖↰⪸1570⨁⊸⫻))⪘⫢(∥⊫⫖↰⪸2227)⪛(⨈⫕⫖↰⪸3543)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":914,"operation_count":8,"complexity_ratio":114.25,"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":6086,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2532,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3775,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5955,"base":12}}}}},"used_operators":["l07mrZUIn9","oacrs7FA3X","9FxExcQeMw","o20kRiQErp","glklzrTFfD","uFcxV4UQCh","P8v4zCKN1o","megm06wKyl"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸-2B4A6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6086","layer":4},{"info":"compute unary expreesion, input=6086, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=2532","layer":4},{"info":"compute unary expreesion, input=2532, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2532","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=2532, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4742","layer":2},{"info":"number node, value=3775","layer":4},{"info":"compute unary expreesion, input=3775, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4643","layer":3},{"info":"number node, value=5955","layer":4},{"info":"compute unary expreesion, input=5955, 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=4643, right_input=-21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-19","layer":2},{"info":"compute binary expreesion, left_input=-4742, right_input=-19, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-61182","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3632∸)⩷∴(⫖↰⪸1570⨁⊸⫻))⪘⫢(∥⊫⫖↰⪸2227)⪛(⨈⫕⫖↰⪸3543)↪⪝=⫖↰⪸-2B4A6","reverse_text":"⫖↰⪸-2B4A6=((⫖↰⪸3632∸)⩷∴(⫖↰⪸1570⨁⊸⫻))⪘⫢(∥⊫⫖↰⪸2227)⪛(⨈⫕⫖↰⪸3543)↪⪝","cot":[{"info":"⫖↰⪸3632∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸1570⨁⊸⫻=⫖↰⪸1570","layer":3},{"info":"⫖↰⪸129⩷∴⫖↰⪸1570=⫖↰⪸-28B2","layer":2},{"info":"∥⊫⫖↰⪸2227=⫖↰⪸282B","layer":3},{"info":"⨈⫕⫖↰⪸3543=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸282B⪛⫖↰⪸-19=⫖↰⪸-17","layer":2},{"info":"⫖↰⪸-28B2⪘⫢⫖↰⪸-17=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸-1↪⪝=⫖↰⪸-2B4A6","layer":0}]}
{"id":19,"expression_no_base_symbol":"(↣≠⋷((⊙↵-$1946$)⪒$1834$⫸⊐$1386$))*($2584$⊘)⨓($1254$*$3600$)⨰(⋗⩬⋾$6277$∼$1701$)","expression":"(↣≠⋷((⊙↵-⫖↰⪸1162)⪒⫖↰⪸108A⫸⊐⫖↰⪸976))*(⫖↰⪸15B4⊘)⨓(⫖↰⪸886*⫖↰⪸2100)⨰(⋗⩬⋾⫖↰⪸3771∼⫖↰⪸B99)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3437,"operation_count":11,"complexity_ratio":312.45454545454544,"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":1946,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1834,"base":12},"right_expr":{"type":"numeric_atoms","value":1386,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2584,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1254,"base":12},"right_expr":{"type":"numeric_atoms","value":3600,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6277,"base":12},"right_expr":{"type":"numeric_atoms","value":1701,"base":12}}}}},"used_operators":["9HNa5Wba9A","Asc51vEJeQ","f6k1SAg4EE","oWn0xqSxBt","mqXw5SEYmG","eewbuw0ToL","3ViojmjbAp","gu96TGCTMs","DpFCA1CohY","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=1386, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5419","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=5419, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5418","layer":2},{"info":"compute unary expreesion, input=-5418, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2584","layer":4},{"info":"compute unary expreesion, input=2584, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1254","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=3600, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4514400","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4514400, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=6277","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=6277, right_input=1701, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷((⊙↵-⫖↰⪸1162)⪒⫖↰⪸108A⫸⊐⫖↰⪸976))*(⫖↰⪸15B4⊘)⨓(⫖↰⪸886*⫖↰⪸2100)⨰(⋗⩬⋾⫖↰⪸3771∼⫖↰⪸B99)=NaN","reverse_text":"NaN=(↣≠⋷((⊙↵-⫖↰⪸1162)⪒⫖↰⪸108A⫸⊐⫖↰⪸976))*(⫖↰⪸15B4⊘)⨓(⫖↰⪸886*⫖↰⪸2100)⨰(⋗⩬⋾⫖↰⪸3771∼⫖↰⪸B99)","cot":[{"info":"⊙↵-⫖↰⪸1162=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸108A⫸⊐⫖↰⪸976=⫖↰⪸3177","layer":3},{"info":"⫖↰⪸-1⪒⫖↰⪸3177=⫖↰⪸-3176","layer":2},{"info":"↣≠⋷⫖↰⪸-3176=NaN","layer":1},{"info":"⫖↰⪸15B4⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸886*⫖↰⪸2100=⫖↰⪸1618600","layer":3},{"info":"⫖↰⪸0⨓⫖↰⪸1618600=NaN","layer":2},{"info":"⫖↰⪸3771∼⫖↰⪸B99=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"($1516$⋓$2157$⩷∴($3565$⊘)⇼⇔∾((↣≠⋷$3908$)⋷$8838$⪢$3850$))⋥≓≎(($1143$↙$1204$)⋳⪒$2928$∑⇟⊟$1685$)⋓(⫓⪴$2128$)⪘⫢($1045$⊉≛↸$1396$)","expression":"(⫖↰⪸A64⋓⫖↰⪸12B9⩷∴(⫖↰⪸2091⊘)⇼⇔∾((↣≠⋷⫖↰⪸2318)⋷⫖↰⪸5146⪢⫖↰⪸228A))⋥≓≎((⫖↰⪸7B3↙⫖↰⪸844)⋳⪒⫖↰⪸1840∑⇟⊟⫖↰⪸B85)⋓(⫓⪴⫖↰⪸1294)⪘⫢(⫖↰⪸731⊉≛↸⫖↰⪸984)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10314,"operation_count":15,"complexity_ratio":687.6,"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":1516,"base":12},"right_expr":{"type":"numeric_atoms","value":2157,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3565,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3908,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8838,"base":12},"right_expr":{"type":"numeric_atoms","value":3850,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1143,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2928,"base":12},"right_expr":{"type":"numeric_atoms","value":1685,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2128,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1045,"base":12},"right_expr":{"type":"numeric_atoms","value":1396,"base":12}}}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","9FxExcQeMw","T2fj7uvVaJ","gu96TGCTMs","23Mk6UjR3U","Asc51vEJeQ","dWAJyo7jo9","12rbrZMWeM","yyfyN0ffXY","U7g4x0WXJJ","oacrs7FA3X","eLxqMNBOBk","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1516","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=2157, 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=3565","layer":4},{"info":"compute unary expreesion, input=3565, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":2},{"info":"number node, value=3908","layer":4},{"info":"compute unary expreesion, input=3908, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=8838","layer":4},{"info":"number node, value=3850","layer":4},{"info":"compute binary expreesion, left_input=8838, right_input=3850, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = 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=-32, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1204, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3612","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=1685, 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=-3612, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4528384","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1396, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2090","layer":3},{"info":"compute binary expreesion, left_input=4528384, right_input=2090, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9056644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9056644, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A64⋓⫖↰⪸12B9⩷∴(⫖↰⪸2091⊘)⇼⇔∾((↣≠⋷⫖↰⪸2318)⋷⫖↰⪸5146⪢⫖↰⪸228A))⋥≓≎((⫖↰⪸7B3↙⫖↰⪸844)⋳⪒⫖↰⪸1840∑⇟⊟⫖↰⪸B85)⋓(⫓⪴⫖↰⪸1294)⪘⫢(⫖↰⪸731⊉≛↸⫖↰⪸984)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸A64⋓⫖↰⪸12B9⩷∴(⫖↰⪸2091⊘)⇼⇔∾((↣≠⋷⫖↰⪸2318)⋷⫖↰⪸5146⪢⫖↰⪸228A))⋥≓≎((⫖↰⪸7B3↙⫖↰⪸844)⋳⪒⫖↰⪸1840∑⇟⊟⫖↰⪸B85)⋓(⫓⪴⫖↰⪸1294)⪘⫢(⫖↰⪸731⊉≛↸⫖↰⪸984)","cot":[{"info":"⫖↰⪸A64⋓⫖↰⪸12B9=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2091⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩷∴⫖↰⪸0=⫖↰⪸-28","layer":2},{"info":"↣≠⋷⫖↰⪸2318=NaN","layer":3},{"info":"⫖↰⪸5146⪢⫖↰⪸228A=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⫖↰⪸-28⇼⇔∾NaN=NaN","layer":1},{"info":"⫖↰⪸7B3↙⫖↰⪸844=⫖↰⪸-2110","layer":3},{"info":"⫖↰⪸1840∑⇟⊟⫖↰⪸B85=NaN","layer":3},{"info":"⫖↰⪸-2110⋳⪒NaN=NaN","layer":2},{"info":"⫓⪴⫖↰⪸1294=⫖↰⪸1624714","layer":3},{"info":"⫖↰⪸731⊉≛↸⫖↰⪸984=⫖↰⪸1262","layer":3},{"info":"⫖↰⪸1624714⪘⫢⫖↰⪸1262=⫖↰⪸3049144","layer":2},{"info":"NaN⋓⫖↰⪸3049144=⫖↰⪸0","layer":1},{"info":"NaN⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":0}]}
{"id":21,"expression_no_base_symbol":"($2072$⨪↰⇹$9060$⨸⪁($1654$≋⫹))⋥≓≎($1352$⪐)⪮%⊝($1923$⨸⪁$2759$)-(↔(($1473$⋷$4610$)⊭↱($2010$≣⋋)))","expression":"(⫖↰⪸1248⨪↰⇹⫖↰⪸52B0⨸⪁(⫖↰⪸B5A≋⫹))⋥≓≎(⫖↰⪸948⪐)⪮%⊝(⫖↰⪸1143⨸⪁⫖↰⪸171B)-(↔((⫖↰⪸A29⋷⫖↰⪸2802)⊭↱(⫖↰⪸11B6≣⋋)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2640,"operation_count":12,"complexity_ratio":220.0,"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":2072,"base":12},"right_expr":{"type":"numeric_atoms","value":9060,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1654,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1352,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1923,"base":12},"right_expr":{"type":"numeric_atoms","value":2759,"base":12}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1473,"base":12},"right_expr":{"type":"numeric_atoms","value":4610,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2010,"base":12}}}}},"used_operators":["rysDP5nf3Z","Qy55tPpLXF","g55IO6H4Gj","tmPS8pqC7x","N41Kp7NANJ","IWmyXbctLI","eH2TOUuTDT","ruOEQAzv1W","COABgblf1C","23Mk6UjR3U","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸149","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"number node, value=9060","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=9060, 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=2072","layer":3},{"info":"number node, value=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3308","layer":3},{"info":"compute binary expreesion, left_input=2072, right_input=-3308, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2472","layer":2},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2704","layer":3},{"info":"number node, value=1923","layer":4},{"info":"number node, value=2759","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=2759, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9364","layer":3},{"info":"compute binary expreesion, left_input=2704, right_input=9364, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5724","layer":2},{"info":"compute binary expreesion, left_input=-2472, right_input=5724, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=1473","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=4610, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7747","layer":3},{"info":"number node, value=2010","layer":4},{"info":"compute unary expreesion, input=2010, 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=7747, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-15489","layer":2},{"info":"compute unary expreesion, input=-15489, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = rysDP5nf3Z binary_op_definition= 'None', output=201","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1248⨪↰⇹⫖↰⪸52B0⨸⪁(⫖↰⪸B5A≋⫹))⋥≓≎(⫖↰⪸948⪐)⪮%⊝(⫖↰⪸1143⨸⪁⫖↰⪸171B)-(↔((⫖↰⪸A29⋷⫖↰⪸2802)⊭↱(⫖↰⪸11B6≣⋋)))=⫖↰⪸149","reverse_text":"⫖↰⪸149=(⫖↰⪸1248⨪↰⇹⫖↰⪸52B0⨸⪁(⫖↰⪸B5A≋⫹))⋥≓≎(⫖↰⪸948⪐)⪮%⊝(⫖↰⪸1143⨸⪁⫖↰⪸171B)-(↔((⫖↰⪸A29⋷⫖↰⪸2802)⊭↱(⫖↰⪸11B6≣⋋)))","cot":[{"info":"⫖↰⪸1248⨪↰⇹⫖↰⪸52B0=⫖↰⪸1248","layer":3},{"info":"⫖↰⪸B5A≋⫹=⫖↰⪸-1AB8","layer":3},{"info":"⫖↰⪸1248⨸⪁⫖↰⪸-1AB8=⫖↰⪸-1520","layer":2},{"info":"⫖↰⪸948⪐=⫖↰⪸1694","layer":3},{"info":"⫖↰⪸1143⨸⪁⫖↰⪸171B=⫖↰⪸5504","layer":3},{"info":"⫖↰⪸1694⪮%⊝⫖↰⪸5504=⫖↰⪸3390","layer":2},{"info":"⫖↰⪸-1520⋥≓≎⫖↰⪸3390=⫖↰⪸57","layer":1},{"info":"⫖↰⪸A29⋷⫖↰⪸2802=⫖↰⪸4597","layer":3},{"info":"⫖↰⪸11B6≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4597⊭↱⫖↰⪸0=⫖↰⪸-8B69","layer":2},{"info":"↔⫖↰⪸-8B69=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸57-⫖↰⪸-B2=⫖↰⪸149","layer":0}]}
{"id":22,"expression_no_base_symbol":"≦∁(⨑⩽⪐(⊙↵-(⩦⩻⨪$7125$)))","expression":"≦∁(⨑⩽⪐(⊙↵-(⩦⩻⨪⫖↰⪸4159)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7182,"operation_count":4,"complexity_ratio":1795.5,"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":7125,"base":12}}}}},"used_operators":["9ICcGScMcE","AF7qkfDlqP","oWn0xqSxBt","2td37pGCOC"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸55B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7125","layer":4},{"info":"compute unary expreesion, input=7125, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7125","layer":3},{"info":"compute unary expreesion, input=7125, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=791","layer":1},{"info":"compute unary expreesion, input=791, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=791","layer":0}],"base":12,"result_base":12,"text":"≦∁(⨑⩽⪐(⊙↵-(⩦⩻⨪⫖↰⪸4159)))=⫖↰⪸55B","reverse_text":"⫖↰⪸55B=≦∁(⨑⩽⪐(⊙↵-(⩦⩻⨪⫖↰⪸4159)))","cot":[{"info":"⩦⩻⨪⫖↰⪸4159=⫖↰⪸4159","layer":3},{"info":"⊙↵-⫖↰⪸4159=⫖↰⪸-1","layer":2},{"info":"⨑⩽⪐⫖↰⪸-1=⫖↰⪸55B","layer":1},{"info":"≦∁⫖↰⪸55B=⫖↰⪸55B","layer":0}]}
{"id":23,"expression_no_base_symbol":"∂(⫓⪴(⋗⩬⋾$1847$↬$1769$))","expression":"∂(⫓⪴(⋗⩬⋾⫖↰⪸109B↬⫖↰⪸1035))","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":4,"complexity_ratio":1.5,"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":1847,"base":12},"right_expr":{"type":"numeric_atoms","value":1769,"base":12}}}}},"used_operators":["Uaa54Peajs","eLxqMNBOBk","DpFCA1CohY","B5M0gjZbta"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=1769, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂(⫓⪴(⋗⩬⋾⫖↰⪸109B↬⫖↰⪸1035))=NaN","reverse_text":"NaN=∂(⫓⪴(⋗⩬⋾⫖↰⪸109B↬⫖↰⪸1035))","cot":[{"info":"⫖↰⪸109B↬⫖↰⪸1035=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"(($7561$∸)⇼⇔∾($5679$%$1524$)⋷($2833$⨎$1738$)+⇶⊼($1515$⪒$5696$))∲⫓($1599$⊭↱$7121$)⪛($3886$⨽$1050$)⊭↱(($1954$↪⪝)⊭↱($2805$∲⫓$2069$))","expression":"((⫖↰⪸4461∸)⇼⇔∾(⫖↰⪸3353%⫖↰⪸A70)⋷(⫖↰⪸1781⨎⫖↰⪸100A)+⇶⊼(⫖↰⪸A63⪒⫖↰⪸3368))∲⫓(⫖↰⪸B13⊭↱⫖↰⪸4155)⪛(⫖↰⪸22BA⨽⫖↰⪸736)⊭↱((⫖↰⪸116A↪⪝)⊭↱(⫖↰⪸1759∲⫓⫖↰⪸1245))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4810,"operation_count":15,"complexity_ratio":320.6666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":7561,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5679,"base":12},"right_expr":{"type":"numeric_atoms","value":1524,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2833,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1515,"base":12},"right_expr":{"type":"numeric_atoms","value":5696,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1599,"base":12},"right_expr":{"type":"numeric_atoms","value":7121,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3886,"base":12},"right_expr":{"type":"numeric_atoms","value":1050,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1954,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2805,"base":12},"right_expr":{"type":"numeric_atoms","value":2069,"base":12}}}}},"used_operators":["i8ToyICDmI","23Mk6UjR3U","tifHPKVTfV","o20kRiQErp","k8jYdgA6NY","TpPTUOHfaN","rJVOvQCfKK","f6k1SAg4EE","COABgblf1C","uFcxV4UQCh","8HhzD0ZcuI","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7561","layer":4},{"info":"compute unary expreesion, input=7561, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=5679","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=1524, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1107","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1107, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=930","layer":2},{"info":"number node, value=2833","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=1738, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1738","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=5696, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7211","layer":3},{"info":"compute binary expreesion, left_input=1738, right_input=-7211, 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=930, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1599","layer":4},{"info":"number node, value=7121","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=7121, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11049","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=1050, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-45304824","layer":3},{"info":"compute binary expreesion, left_input=11049, right_input=-45304824, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-45293775","layer":2},{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=119549628","layer":3},{"info":"number node, value=2805","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=2069, 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=119549628, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-239099251","layer":2},{"info":"compute binary expreesion, left_input=-45293775, right_input=-239099251, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-387610947","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-387610947, 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":"((⫖↰⪸4461∸)⇼⇔∾(⫖↰⪸3353%⫖↰⪸A70)⋷(⫖↰⪸1781⨎⫖↰⪸100A)+⇶⊼(⫖↰⪸A63⪒⫖↰⪸3368))∲⫓(⫖↰⪸B13⊭↱⫖↰⪸4155)⪛(⫖↰⪸22BA⨽⫖↰⪸736)⊭↱((⫖↰⪸116A↪⪝)⊭↱(⫖↰⪸1759∲⫓⫖↰⪸1245))=NaN","reverse_text":"NaN=((⫖↰⪸4461∸)⇼⇔∾(⫖↰⪸3353%⫖↰⪸A70)⋷(⫖↰⪸1781⨎⫖↰⪸100A)+⇶⊼(⫖↰⪸A63⪒⫖↰⪸3368))∲⫓(⫖↰⪸B13⊭↱⫖↰⪸4155)⪛(⫖↰⪸22BA⨽⫖↰⪸736)⊭↱((⫖↰⪸116A↪⪝)⊭↱(⫖↰⪸1759∲⫓⫖↰⪸1245))","cot":[{"info":"⫖↰⪸4461∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸3353%⫖↰⪸A70=⫖↰⪸783","layer":3},{"info":"⫖↰⪸129⇼⇔∾⫖↰⪸783=⫖↰⪸656","layer":2},{"info":"⫖↰⪸1781⨎⫖↰⪸100A=⫖↰⪸100A","layer":3},{"info":"⫖↰⪸A63⪒⫖↰⪸3368=⫖↰⪸-420B","layer":3},{"info":"⫖↰⪸100A+⇶⊼⫖↰⪸-420B=NaN","layer":2},{"info":"⫖↰⪸656⋷NaN=NaN","layer":1},{"info":"⫖↰⪸B13⊭↱⫖↰⪸4155=⫖↰⪸6489","layer":3},{"info":"⫖↰⪸22BA⨽⫖↰⪸736=⫖↰⪸-1320A0A0","layer":3},{"info":"⫖↰⪸6489⪛⫖↰⪸-1320A0A0=⫖↰⪸-13203813","layer":2},{"info":"⫖↰⪸116A↪⪝=⫖↰⪸34053990","layer":3},{"info":"⫖↰⪸1759∲⫓⫖↰⪸1245=⫖↰⪸0","layer":3},{"info":"⫖↰⪸34053990⊭↱⫖↰⪸0=⫖↰⪸-680A7757","layer":2},{"info":"⫖↰⪸-13203813⊭↱⫖↰⪸-680A7757=⫖↰⪸-A9987A83","layer":1},{"info":"NaN∲⫓⫖↰⪸-A9987A83=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"(($3199$⫥∨⫟$1351$)∧)⇷($8842$∼$4537$+⇶⊼(+⊝⨔$2237$))⩷∴(($5196$⪄$1348$)⪢(∥⊫$1296$)⪄($2574$⋥≓≎$1441$)≧⫂∧($3608$⩨$3019$))","expression":"((⫖↰⪸1A27⫥∨⫟⫖↰⪸947)∧)⇷(⫖↰⪸514A∼⫖↰⪸2761+⇶⊼(+⊝⨔⫖↰⪸1365))⩷∴((⫖↰⪸3010⪄⫖↰⪸944)⪢(∥⊫⫖↰⪸900)⪄(⫖↰⪸15A6⋥≓≎⫖↰⪸A01)≧⫂∧(⫖↰⪸2108⩨⫖↰⪸18B7))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":984324,"operation_count":14,"complexity_ratio":70308.85714285714,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3199,"base":12},"right_expr":{"type":"numeric_atoms","value":1351,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8842,"base":12},"right_expr":{"type":"numeric_atoms","value":4537,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2237,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5196,"base":12},"right_expr":{"type":"numeric_atoms","value":1348,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1296,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2574,"base":12},"right_expr":{"type":"numeric_atoms","value":1441,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3608,"base":12},"right_expr":{"type":"numeric_atoms","value":3019,"base":12}}}}},"used_operators":["9FxExcQeMw","mp7IySMOzn","z63VuFQld9","KYD54nUTWz","TpPTUOHfaN","DyGG3AbaNP","DhbWaqg5eL","SUmda5xLS4","dWAJyo7jo9","P8v4zCKN1o","Ph9nP6C5qx","Qy55tPpLXF","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3199","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=1351, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=8842","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=8842, right_input=4537, 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=2237","layer":4},{"info":"compute unary expreesion, input=2237, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=5196","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=1348, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-770489","layer":3},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2164","layer":3},{"info":"compute binary expreesion, left_input=-770489, right_input=2164, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2574","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1441, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=341","layer":3},{"info":"number node, value=3608","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=3608, right_input=3019, 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=341, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1A27⫥∨⫟⫖↰⪸947)∧)⇷(⫖↰⪸514A∼⫖↰⪸2761+⇶⊼(+⊝⨔⫖↰⪸1365))⩷∴((⫖↰⪸3010⪄⫖↰⪸944)⪢(∥⊫⫖↰⪸900)⪄(⫖↰⪸15A6⋥≓≎⫖↰⪸A01)≧⫂∧(⫖↰⪸2108⩨⫖↰⪸18B7))=NaN","reverse_text":"NaN=((⫖↰⪸1A27⫥∨⫟⫖↰⪸947)∧)⇷(⫖↰⪸514A∼⫖↰⪸2761+⇶⊼(+⊝⨔⫖↰⪸1365))⩷∴((⫖↰⪸3010⪄⫖↰⪸944)⪢(∥⊫⫖↰⪸900)⪄(⫖↰⪸15A6⋥≓≎⫖↰⪸A01)≧⫂∧(⫖↰⪸2108⩨⫖↰⪸18B7))","cot":[{"info":"⫖↰⪸1A27⫥∨⫟⫖↰⪸947=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫖↰⪸514A∼⫖↰⪸2761=NaN","layer":3},{"info":"+⊝⨔⫖↰⪸1365=⫖↰⪸A6A","layer":3},{"info":"NaN+⇶⊼⫖↰⪸A6A=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⫖↰⪸3010⪄⫖↰⪸944=⫖↰⪸-311A75","layer":3},{"info":"∥⊫⫖↰⪸900=⫖↰⪸1304","layer":3},{"info":"⫖↰⪸-311A75⪢⫖↰⪸1304=NaN","layer":2},{"info":"⫖↰⪸15A6⋥≓≎⫖↰⪸A01=⫖↰⪸245","layer":3},{"info":"⫖↰⪸2108⩨⫖↰⪸18B7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸245≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"NaN⪄⫖↰⪸-335=⫖↰⪸2377","layer":1},{"info":"NaN⩷∴⫖↰⪸2377=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"↽≂($1039$≧⫂∧$3824$⩚⊴⇥($2822$*$4842$))⨪↰⇹(($3751$⊭↱$1116$)≎⊠⪸(≉$1551$))","expression":"↽≂(⫖↰⪸727≧⫂∧⫖↰⪸2268⩚⊴⇥(⫖↰⪸1772*⫖↰⪸2976))⨪↰⇹((⫖↰⪸2207⊭↱⫖↰⪸790)≎⊠⪸(≉⫖↰⪸A93))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3109,"operation_count":8,"complexity_ratio":388.625,"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":1039,"base":12},"right_expr":{"type":"numeric_atoms","value":3824,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2822,"base":12},"right_expr":{"type":"numeric_atoms","value":4842,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3751,"base":12},"right_expr":{"type":"numeric_atoms","value":1116,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1551,"base":12}}}}},"used_operators":["u6S6b8DprG","tmPS8pqC7x","NTOWxs364D","Ph9nP6C5qx","9HNa5Wba9A","bJkvcejdHO","COABgblf1C","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3824, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3351","layer":3},{"info":"number node, value=2822","layer":4},{"info":"number node, value=4842","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=4842, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13664124","layer":3},{"info":"compute binary expreesion, left_input=3351, right_input=13664124, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13667596","layer":2},{"info":"number node, value=3751","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=3751, right_input=1116, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5265","layer":3},{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2082","layer":3},{"info":"compute binary expreesion, left_input=-5265, right_input=2082, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1363635","layer":2},{"info":"compute binary expreesion, left_input=-13667596, right_input=1363635, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↽≂(⫖↰⪸727≧⫂∧⫖↰⪸2268⩚⊴⇥(⫖↰⪸1772*⫖↰⪸2976))⨪↰⇹((⫖↰⪸2207⊭↱⫖↰⪸790)≎⊠⪸(≉⫖↰⪸A93))=NaN","reverse_text":"NaN=↽≂(⫖↰⪸727≧⫂∧⫖↰⪸2268⩚⊴⇥(⫖↰⪸1772*⫖↰⪸2976))⨪↰⇹((⫖↰⪸2207⊭↱⫖↰⪸790)≎⊠⪸(≉⫖↰⪸A93))","cot":[{"info":"⫖↰⪸727≧⫂∧⫖↰⪸2268=⫖↰⪸1B33","layer":3},{"info":"⫖↰⪸1772*⫖↰⪸2976=⫖↰⪸46AB590","layer":3},{"info":"⫖↰⪸1B33⩚⊴⇥⫖↰⪸46AB590=⫖↰⪸-46B15A4","layer":2},{"info":"⫖↰⪸2207⊭↱⫖↰⪸790=⫖↰⪸-3069","layer":3},{"info":"≉⫖↰⪸A93=⫖↰⪸1256","layer":3},{"info":"⫖↰⪸-3069≎⊠⪸⫖↰⪸1256=⫖↰⪸559183","layer":2},{"info":"⫖↰⪸-46B15A4⨪↰⇹⫖↰⪸559183=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"($1089$⩚⊴⇥$3925$⫥∨⫟($2872$+$2602$))+⇶⊼($3747$⋓$2544$⊉≛↸$2331$⫸⊐$1604$)≎⊠⪸(($4189$⪐)⩨($6939$⊉≛↸$1477$)⊉≛↸($3487$⪄$3004$*($1117$⫡⨏$1954$)))","expression":"(⫖↰⪸769⩚⊴⇥⫖↰⪸2331⫥∨⫟(⫖↰⪸17B4+⫖↰⪸160A))+⇶⊼(⫖↰⪸2203⋓⫖↰⪸1580⊉≛↸⫖↰⪸1423⫸⊐⫖↰⪸B18)≎⊠⪸((⫖↰⪸2511⪐)⩨(⫖↰⪸4023⊉≛↸⫖↰⪸A31)⊉≛↸(⫖↰⪸2027⪄⫖↰⪸18A4*(⫖↰⪸791⫡⨏⫖↰⪸116A)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10598,"operation_count":15,"complexity_ratio":706.5333333333333,"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":1089,"base":12},"right_expr":{"type":"numeric_atoms","value":3925,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2872,"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":3747,"base":12},"right_expr":{"type":"numeric_atoms","value":2544,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2331,"base":12},"right_expr":{"type":"numeric_atoms","value":1604,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4189,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6939,"base":12},"right_expr":{"type":"numeric_atoms","value":1477,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3487,"base":12},"right_expr":{"type":"numeric_atoms","value":3004,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":1954,"base":12}}}}},"used_operators":["bJkvcejdHO","TpPTUOHfaN","KYD54nUTWz","NTOWxs364D","W4YGzv6Whe","DZ8iAZOCBD","T2fj7uvVaJ","mqXw5SEYmG","2DlMacCsIx","eH2TOUuTDT","9HNa5Wba9A","SUmda5xLS4","QMFrweE19q"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=3925","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=3925, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5135","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=2602, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5474","layer":3},{"info":"compute binary expreesion, left_input=-5135, right_input=5474, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3747","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=2544, 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=2331","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=1604, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6291","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6291, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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=4189","layer":4},{"info":"compute unary expreesion, input=4189, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8378","layer":3},{"info":"number node, value=6939","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=1477, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13878","layer":3},{"info":"compute binary expreesion, left_input=8378, right_input=13878, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"number node, value=3487","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=3004, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-524181","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1954, 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=10276","layer":3},{"info":"compute binary expreesion, left_input=-524181, right_input=10276, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-inf, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸769⩚⊴⇥⫖↰⪸2331⫥∨⫟(⫖↰⪸17B4+⫖↰⪸160A))+⇶⊼(⫖↰⪸2203⋓⫖↰⪸1580⊉≛↸⫖↰⪸1423⫸⊐⫖↰⪸B18)≎⊠⪸((⫖↰⪸2511⪐)⩨(⫖↰⪸4023⊉≛↸⫖↰⪸A31)⊉≛↸(⫖↰⪸2027⪄⫖↰⪸18A4*(⫖↰⪸791⫡⨏⫖↰⪸116A)))=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=(⫖↰⪸769⩚⊴⇥⫖↰⪸2331⫥∨⫟(⫖↰⪸17B4+⫖↰⪸160A))+⇶⊼(⫖↰⪸2203⋓⫖↰⪸1580⊉≛↸⫖↰⪸1423⫸⊐⫖↰⪸B18)≎⊠⪸((⫖↰⪸2511⪐)⩨(⫖↰⪸4023⊉≛↸⫖↰⪸A31)⊉≛↸(⫖↰⪸2027⪄⫖↰⪸18A4*(⫖↰⪸791⫡⨏⫖↰⪸116A)))","cot":[{"info":"⫖↰⪸769⩚⊴⇥⫖↰⪸2331=⫖↰⪸-2B7B","layer":3},{"info":"⫖↰⪸17B4+⫖↰⪸160A=⫖↰⪸3202","layer":3},{"info":"⫖↰⪸-2B7B⫥∨⫟⫖↰⪸3202=NaN","layer":2},{"info":"⫖↰⪸2203⋓⫖↰⪸1580=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1423⫸⊐⫖↰⪸B18=⫖↰⪸3783","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸3783=⫖↰⪸0","layer":2},{"info":"NaN+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2511⪐=⫖↰⪸4A22","layer":3},{"info":"⫖↰⪸4023⊉≛↸⫖↰⪸A31=⫖↰⪸8046","layer":3},{"info":"⫖↰⪸4A22⩨⫖↰⪸8046=⫖↰⪸-3","layer":2},{"info":"⫖↰⪸2027⪄⫖↰⪸18A4=⫖↰⪸-213419","layer":3},{"info":"⫖↰⪸791⫡⨏⫖↰⪸116A=⫖↰⪸5B44","layer":3},{"info":"⫖↰⪸-213419*⫖↰⪸5B44=-Inf","layer":2},{"info":"⫖↰⪸-3⊉≛↸-Inf=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸0≎⊠⪸⫖↰⪸-6=⫖↰⪸-335","layer":0}]}
{"id":28,"expression_no_base_symbol":"(⋗⩬⋾(($1745$⊭↱$3602$)⫸⊐$3098$⊴$4187$))⋷(⨑⩽⪐(↯⪼$6220$)⋥≓≎$7807$∼$4690$)","expression":"(⋗⩬⋾((⫖↰⪸1015⊭↱⫖↰⪸2102)⫸⊐⫖↰⪸1962⊴⫖↰⪸250B))⋷(⨑⩽⪐(↯⪼⫖↰⪸3724)⋥≓≎⫖↰⪸4627∼⫖↰⪸286A)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4423,"operation_count":9,"complexity_ratio":491.44444444444446,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1745,"base":12},"right_expr":{"type":"numeric_atoms","value":3602,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3098,"base":12},"right_expr":{"type":"numeric_atoms","value":4187,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6220,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7807,"base":12},"right_expr":{"type":"numeric_atoms","value":4690,"base":12}}}}},"used_operators":["23Mk6UjR3U","DpFCA1CohY","mqXw5SEYmG","COABgblf1C","Nsiff2A1zJ","AF7qkfDlqP","Qy55tPpLXF","8jW3W4yZS5","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=3602, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3719","layer":3},{"info":"number node, value=3098","layer":4},{"info":"number node, value=4187","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=4187, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3719, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=6220","layer":4},{"info":"compute unary expreesion, input=6220, 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=7807","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=7807, right_input=4690, 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=-21, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾((⫖↰⪸1015⊭↱⫖↰⪸2102)⫸⊐⫖↰⪸1962⊴⫖↰⪸250B))⋷(⨑⩽⪐(↯⪼⫖↰⪸3724)⋥≓≎⫖↰⪸4627∼⫖↰⪸286A)=NaN","reverse_text":"NaN=(⋗⩬⋾((⫖↰⪸1015⊭↱⫖↰⪸2102)⫸⊐⫖↰⪸1962⊴⫖↰⪸250B))⋷(⨑⩽⪐(↯⪼⫖↰⪸3724)⋥≓≎⫖↰⪸4627∼⫖↰⪸286A)","cot":[{"info":"⫖↰⪸1015⊭↱⫖↰⪸2102=⫖↰⪸219B","layer":3},{"info":"⫖↰⪸1962⊴⫖↰⪸250B=NaN","layer":3},{"info":"⫖↰⪸219B⫸⊐NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"↯⪼⫖↰⪸3724=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸4627∼⫖↰⪸286A=NaN","layer":3},{"info":"⫖↰⪸-19⋥≓≎NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"⊙↵-((≉$4386$)⋝⋈⪟($2693$⇼⇔∾$7977$))⨟⋌⩍($4191$+⇶⊼$2086$+⇶⊼(⊄⩳↩$2556$))","expression":"⊙↵-((≉⫖↰⪸2656)⋝⋈⪟(⫖↰⪸1685⇼⇔∾⫖↰⪸4749))⨟⋌⩍(⫖↰⪸2513+⇶⊼⫖↰⪸125A+⇶⊼(⊄⩳↩⫖↰⪸1590))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":40,"operation_count":8,"complexity_ratio":5.0,"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":4386,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2693,"base":12},"right_expr":{"type":"numeric_atoms","value":7977,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4191,"base":12},"right_expr":{"type":"numeric_atoms","value":2086,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2556,"base":12}}}}},"used_operators":["oWn0xqSxBt","rGHVDoGpnC","2DDjHMKMc0","e1ybzncUwg","tifHPKVTfV","TpPTUOHfaN","8w2t5hMYqp"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4386","layer":4},{"info":"compute unary expreesion, input=4386, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4917","layer":3},{"info":"number node, value=2693","layer":4},{"info":"number node, value=7977","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=7977, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5284","layer":3},{"info":"compute binary expreesion, left_input=4917, right_input=5284, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4917","layer":2},{"info":"number node, value=4191","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=4191, right_input=2086, 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=2556","layer":4},{"info":"compute unary expreesion, input=2556, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7668","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7668, 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=4917, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute 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":"⊙↵-((≉⫖↰⪸2656)⋝⋈⪟(⫖↰⪸1685⇼⇔∾⫖↰⪸4749))⨟⋌⩍(⫖↰⪸2513+⇶⊼⫖↰⪸125A+⇶⊼(⊄⩳↩⫖↰⪸1590))=NaN","reverse_text":"NaN=⊙↵-((≉⫖↰⪸2656)⋝⋈⪟(⫖↰⪸1685⇼⇔∾⫖↰⪸4749))⨟⋌⩍(⫖↰⪸2513+⇶⊼⫖↰⪸125A+⇶⊼(⊄⩳↩⫖↰⪸1590))","cot":[{"info":"≉⫖↰⪸2656=⫖↰⪸2A19","layer":3},{"info":"⫖↰⪸1685⇼⇔∾⫖↰⪸4749=⫖↰⪸3084","layer":3},{"info":"⫖↰⪸2A19⋝⋈⪟⫖↰⪸3084=⫖↰⪸2A19","layer":2},{"info":"⫖↰⪸2513+⇶⊼⫖↰⪸125A=NaN","layer":3},{"info":"⊄⩳↩⫖↰⪸1590=⫖↰⪸-4530","layer":3},{"info":"NaN+⇶⊼⫖↰⪸-4530=NaN","layer":2},{"info":"⫖↰⪸2A19⨟⋌⩍NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"((≤/$1284$)⨽$2409$⨟⋌⩍$3674$)⩚⊴⇥$1140$⨓$1079$⨓($4694$≎⊠⪸$5259$)⫸⊐(-$2388$)⋳⪒$1003$⩷∴$4027$⨽($4676$⫡⨏$1575$)⨓$3774$⨟⋌⩍$2297$","expression":"((≤/⫖↰⪸8B0)⨽⫖↰⪸1489⨟⋌⩍⫖↰⪸2162)⩚⊴⇥⫖↰⪸7B0⨓⫖↰⪸75B⨓(⫖↰⪸2872≎⊠⪸⫖↰⪸3063)⫸⊐(-⫖↰⪸1470)⋳⪒⫖↰⪸6B7⩷∴⫖↰⪸23B7⨽(⫖↰⪸2858⫡⨏⫖↰⪸AB3)⨓⫖↰⪸2226⨟⋌⩍⫖↰⪸13B5","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3235,"operation_count":15,"complexity_ratio":215.66666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1284,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2409,"base":12},"right_expr":{"type":"numeric_atoms","value":3674,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1140,"base":12},"right_expr":{"type":"numeric_atoms","value":1079,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4694,"base":12},"right_expr":{"type":"numeric_atoms","value":5259,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2388,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1003,"base":12},"right_expr":{"type":"numeric_atoms","value":4027,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4676,"base":12},"right_expr":{"type":"numeric_atoms","value":1575,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3774,"base":12},"right_expr":{"type":"numeric_atoms","value":2297,"base":12}}}}},"used_operators":["mqXw5SEYmG","NTOWxs364D","8HhzD0ZcuI","eLAdDNolq6","rGHVDoGpnC","3ViojmjbAp","bJkvcejdHO","12rbrZMWeM","t8gj7n24qd","9FxExcQeMw","QMFrweE19q"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-800","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=3674, 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=-800, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1079, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1082","layer":3},{"info":"number node, value=4694","layer":4},{"info":"number node, value=5259","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=5259, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1215273","layer":3},{"info":"compute binary expreesion, left_input=-1082, right_input=1215273, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2388","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4027, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6080","layer":3},{"info":"compute binary expreesion, left_input=-2388, right_input=-6080, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1017","layer":2},{"info":"number node, value=4676","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=4676, right_input=1575, 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=27313","layer":3},{"info":"number node, value=3774","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=2297, 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=27313, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1017, 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 = 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":"((≤/⫖↰⪸8B0)⨽⫖↰⪸1489⨟⋌⩍⫖↰⪸2162)⩚⊴⇥⫖↰⪸7B0⨓⫖↰⪸75B⨓(⫖↰⪸2872≎⊠⪸⫖↰⪸3063)⫸⊐(-⫖↰⪸1470)⋳⪒⫖↰⪸6B7⩷∴⫖↰⪸23B7⨽(⫖↰⪸2858⫡⨏⫖↰⪸AB3)⨓⫖↰⪸2226⨟⋌⩍⫖↰⪸13B5=NaN","reverse_text":"NaN=((≤/⫖↰⪸8B0)⨽⫖↰⪸1489⨟⋌⩍⫖↰⪸2162)⩚⊴⇥⫖↰⪸7B0⨓⫖↰⪸75B⨓(⫖↰⪸2872≎⊠⪸⫖↰⪸3063)⫸⊐(-⫖↰⪸1470)⋳⪒⫖↰⪸6B7⩷∴⫖↰⪸23B7⨽(⫖↰⪸2858⫡⨏⫖↰⪸AB3)⨓⫖↰⪸2226⨟⋌⩍⫖↰⪸13B5","cot":[{"info":"≤/⫖↰⪸8B0=⫖↰⪸-568","layer":3},{"info":"⫖↰⪸1489⨟⋌⩍⫖↰⪸2162=NaN","layer":3},{"info":"⫖↰⪸-568⨽NaN=NaN","layer":2},{"info":"⫖↰⪸7B0⨓⫖↰⪸75B=⫖↰⪸-762","layer":3},{"info":"⫖↰⪸2872≎⊠⪸⫖↰⪸3063=⫖↰⪸4A7349","layer":3},{"info":"⫖↰⪸-762⨓⫖↰⪸4A7349=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"-⫖↰⪸1470=⫖↰⪸-1470","layer":3},{"info":"⫖↰⪸6B7⩷∴⫖↰⪸23B7=⫖↰⪸-3628","layer":3},{"info":"⫖↰⪸-1470⋳⪒⫖↰⪸-3628=⫖↰⪸709","layer":2},{"info":"⫖↰⪸2858⫡⨏⫖↰⪸AB3=⫖↰⪸13981","layer":3},{"info":"⫖↰⪸2226⨟⋌⩍⫖↰⪸13B5=NaN","layer":3},{"info":"⫖↰⪸13981⨓NaN=NaN","layer":2},{"info":"⫖↰⪸709⨽NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"(($1060$⩷∴$6830$↙$7377$⋝⋈⪟$1330$)⨽(⊥($6666$%$1652$)))⨰(⩦⩻⨪$1611$∑⇟⊟$1087$)⨓(($2080$⪒$1063$)⩤)","expression":"((⫖↰⪸744⩷∴⫖↰⪸3B52↙⫖↰⪸4329⋝⋈⪟⫖↰⪸92A)⨽(⊥(⫖↰⪸3A36%⫖↰⪸B58)))⨰(⩦⩻⨪⫖↰⪸B23∑⇟⊟⫖↰⪸767)⨓((⫖↰⪸1254⪒⫖↰⪸747)⩤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18470,"operation_count":12,"complexity_ratio":1539.1666666666667,"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":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":6830,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7377,"base":12},"right_expr":{"type":"numeric_atoms","value":1330,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6666,"base":12},"right_expr":{"type":"numeric_atoms","value":1652,"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":1087,"base":12}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2080,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}}}},"used_operators":["eewbuw0ToL","8HhzD0ZcuI","yyfyN0ffXY","9FxExcQeMw","2DDjHMKMc0","Q3PJZHRvZv","k8jYdgA6NY","3ViojmjbAp","2td37pGCOC","U7g4x0WXJJ","Z2TMIBDE3Q","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-B2656003","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1060","layer":4},{"info":"number node, value=6830","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=6830, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11572","layer":3},{"info":"number node, value=7377","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=7377, right_input=1330, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7377","layer":3},{"info":"compute binary expreesion, left_input=-11572, right_input=7377, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11572","layer":2},{"info":"number node, value=6666","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=6666, right_input=1652, op_id = k8jYdgA6NY binary_op_definition= 'None', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-61","layer":2},{"info":"compute binary expreesion, left_input=-11572, right_input=-61, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-401732055","layer":1},{"info":"number node, value=1611","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=1087, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=2080","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=1063, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3143","layer":3},{"info":"compute unary expreesion, input=-3143, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=3143","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3143, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3146","layer":1},{"info":"compute binary expreesion, left_input=-401732055, right_input=-3146, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-401728899","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸744⩷∴⫖↰⪸3B52↙⫖↰⪸4329⋝⋈⪟⫖↰⪸92A)⨽(⊥(⫖↰⪸3A36%⫖↰⪸B58)))⨰(⩦⩻⨪⫖↰⪸B23∑⇟⊟⫖↰⪸767)⨓((⫖↰⪸1254⪒⫖↰⪸747)⩤)=⫖↰⪸-B2656003","reverse_text":"⫖↰⪸-B2656003=((⫖↰⪸744⩷∴⫖↰⪸3B52↙⫖↰⪸4329⋝⋈⪟⫖↰⪸92A)⨽(⊥(⫖↰⪸3A36%⫖↰⪸B58)))⨰(⩦⩻⨪⫖↰⪸B23∑⇟⊟⫖↰⪸767)⨓((⫖↰⪸1254⪒⫖↰⪸747)⩤)","cot":[{"info":"⫖↰⪸744⩷∴⫖↰⪸3B52=⫖↰⪸-6844","layer":3},{"info":"⫖↰⪸4329⋝⋈⪟⫖↰⪸92A=⫖↰⪸4329","layer":3},{"info":"⫖↰⪸-6844↙⫖↰⪸4329=⫖↰⪸-6844","layer":2},{"info":"⫖↰⪸3A36%⫖↰⪸B58=⫖↰⪸4A","layer":3},{"info":"⊥⫖↰⪸4A=⫖↰⪸-51","layer":2},{"info":"⫖↰⪸-6844⨽⫖↰⪸-51=⫖↰⪸-B26579B3","layer":1},{"info":"⫖↰⪸B23∑⇟⊟⫖↰⪸767=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⫖↰⪸1254⪒⫖↰⪸747=⫖↰⪸-199B","layer":3},{"info":"⫖↰⪸-199B⩤=⫖↰⪸199B","layer":2},{"info":"NaN⨓⫖↰⪸199B=⫖↰⪸-19A2","layer":1},{"info":"⫖↰⪸-B26579B3⨰⫖↰⪸-19A2=⫖↰⪸-B2656003","layer":0}]}
{"id":32,"expression_no_base_symbol":"⩦⩻⨪(($1055$∑⇟⊟$1451$*$2238$⨰$2749$)⩤)","expression":"⩦⩻⨪((⫖↰⪸73B∑⇟⊟⫖↰⪸A0B*⫖↰⪸1366⨰⫖↰⪸1711)⩤)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12,"operation_count":5,"complexity_ratio":2.4,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1055,"base":12},"right_expr":{"type":"numeric_atoms","value":1451,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2238,"base":12},"right_expr":{"type":"numeric_atoms","value":2749,"base":12}}}}},"used_operators":["2td37pGCOC","Z2TMIBDE3Q","9HNa5Wba9A","U7g4x0WXJJ","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1451, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2238","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=2749, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-501","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-501, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((⫖↰⪸73B∑⇟⊟⫖↰⪸A0B*⫖↰⪸1366⨰⫖↰⪸1711)⩤)=NaN","reverse_text":"NaN=⩦⩻⨪((⫖↰⪸73B∑⇟⊟⫖↰⪸A0B*⫖↰⪸1366⨰⫖↰⪸1711)⩤)","cot":[{"info":"⫖↰⪸73B∑⇟⊟⫖↰⪸A0B=NaN","layer":3},{"info":"⫖↰⪸1366⨰⫖↰⪸1711=⫖↰⪸-359","layer":3},{"info":"NaN*⫖↰⪸-359=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"(⋗⩬⋾(⨰⫟⨤$1639$)⋓($3593$⩷∴$5648$))⊉≛↸((⨞⊢$2690$⊴$1321$)≣⋋)","expression":"(⋗⩬⋾(⨰⫟⨤⫖↰⪸B47)⋓(⫖↰⪸20B5⩷∴⫖↰⪸3328))⊉≛↸((⨞⊢⫖↰⪸1682⊴⫖↰⪸921)≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8473,"operation_count":8,"complexity_ratio":1059.125,"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":1639,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3593,"base":12},"right_expr":{"type":"numeric_atoms","value":5648,"base":12}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2690,"base":12},"right_expr":{"type":"numeric_atoms","value":1321,"base":12}}}}},"used_operators":["DZ8iAZOCBD","DpFCA1CohY","T2fj7uvVaJ","Tw270M8GLb","9FxExcQeMw","Tcnh7f0tEr","xUOZtlo3hN","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3593","layer":4},{"info":"number node, value=5648","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=5648, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4142","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4142, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"number node, value=2690","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=1321, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(⋗⩬⋾(⨰⫟⨤⫖↰⪸B47)⋓(⫖↰⪸20B5⩷∴⫖↰⪸3328))⊉≛↸((⨞⊢⫖↰⪸1682⊴⫖↰⪸921)≣⋋)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⋗⩬⋾(⨰⫟⨤⫖↰⪸B47)⋓(⫖↰⪸20B5⩷∴⫖↰⪸3328))⊉≛↸((⨞⊢⫖↰⪸1682⊴⫖↰⪸921)≣⋋)","cot":[{"info":"⨰⫟⨤⫖↰⪸B47=NaN","layer":3},{"info":"⫖↰⪸20B5⩷∴⫖↰⪸3328=⫖↰⪸-2492","layer":3},{"info":"NaN⋓⫖↰⪸-2492=⫖↰⪸0","layer":2},{"info":"⋗⩬⋾⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1682⊴⫖↰⪸921=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⫖↰⪸0⊉≛↸NaN=⫖↰⪸0","layer":0}]}
{"id":34,"expression_no_base_symbol":"⊙↵-((↩$1899$)≎⊠⪸($1181$/$3204$)≣⋋)","expression":"⊙↵-((↩⫖↰⪸1123)≎⊠⪸(⫖↰⪸825/⫖↰⪸1A30)≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":829,"operation_count":5,"complexity_ratio":165.8,"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":1899,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1181,"base":12},"right_expr":{"type":"numeric_atoms","value":3204,"base":12}}}}},"used_operators":["oWn0xqSxBt","Tcnh7f0tEr","bJkvcejdHO","jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12412","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=3204, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12412, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3214708","layer":2},{"info":"compute unary expreesion, input=3214708, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', 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":"⊙↵-((↩⫖↰⪸1123)≎⊠⪸(⫖↰⪸825/⫖↰⪸1A30)≣⋋)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-((↩⫖↰⪸1123)≎⊠⪸(⫖↰⪸825/⫖↰⪸1A30)≣⋋)","cot":[{"info":"↩⫖↰⪸1123=⫖↰⪸-7224","layer":3},{"info":"⫖↰⪸825/⫖↰⪸1A30=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-7224≎⊠⪸⫖↰⪸0=⫖↰⪸10B0444","layer":2},{"info":"⫖↰⪸10B0444≣⋋=⫖↰⪸0","layer":1},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":35,"expression_no_base_symbol":"(∂($1007$+⇶⊼$2842$⩤))⫸⊐(((↩$1911$)/$2030$⨪↰⇹$1815$)%($4565$≦≮≮)⋓($1230$↪⪝))","expression":"(∂(⫖↰⪸6BB+⇶⊼⫖↰⪸178A⩤))⫸⊐(((↩⫖↰⪸1133)/⫖↰⪸1212⨪↰⇹⫖↰⪸1073)%(⫖↰⪸2785≦≮≮)⋓(⫖↰⪸866↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2776,"operation_count":11,"complexity_ratio":252.36363636363637,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":2842,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1911,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2030,"base":12},"right_expr":{"type":"numeric_atoms","value":1815,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4565,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1230,"base":12}}}}},"used_operators":["mqXw5SEYmG","Uaa54Peajs","Z2TMIBDE3Q","TpPTUOHfaN","k8jYdgA6NY","XhwjNDsVaA","jLgFTUHLKL","tmPS8pqC7x","T2fj7uvVaJ","D4vGDi5EA2","l07mrZUIn9"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2842, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=1911","layer":4},{"info":"compute unary expreesion, input=1911, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12508","layer":3},{"info":"number node, value=2030","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=1815, 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 binary expreesion, left_input=-12508, right_input=2030, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-7","layer":2},{"info":"number node, value=4565","layer":4},{"info":"compute unary expreesion, input=4565, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13695","layer":3},{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=75253860","layer":3},{"info":"compute binary expreesion, left_input=-13695, right_input=75253860, 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=-7, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"(∂(⫖↰⪸6BB+⇶⊼⫖↰⪸178A⩤))⫸⊐(((↩⫖↰⪸1133)/⫖↰⪸1212⨪↰⇹⫖↰⪸1073)%(⫖↰⪸2785≦≮≮)⋓(⫖↰⪸866↪⪝))=NaN","reverse_text":"NaN=(∂(⫖↰⪸6BB+⇶⊼⫖↰⪸178A⩤))⫸⊐(((↩⫖↰⪸1133)/⫖↰⪸1212⨪↰⇹⫖↰⪸1073)%(⫖↰⪸2785≦≮≮)⋓(⫖↰⪸866↪⪝))","cot":[{"info":"⫖↰⪸6BB+⇶⊼⫖↰⪸178A=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"↩⫖↰⪸1133=⫖↰⪸-72A4","layer":3},{"info":"⫖↰⪸1212⨪↰⇹⫖↰⪸1073=⫖↰⪸1212","layer":3},{"info":"⫖↰⪸-72A4/⫖↰⪸1212=⫖↰⪸-7","layer":2},{"info":"⫖↰⪸2785≦≮≮=⫖↰⪸-7B13","layer":3},{"info":"⫖↰⪸866↪⪝=⫖↰⪸21251830","layer":3},{"info":"⫖↰⪸-7B13⋓⫖↰⪸21251830=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-7%⫖↰⪸0=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"(⫓⪴($1823$∲⫓$2683$)⨪↰⇹($1028$⩚⊴⇥$1750$))⫡⨏(⊙↵-(($3742$∲⫓$7828$)≧⫂∧(⫓⪴$2378$)))","expression":"(⫓⪴(⫖↰⪸107B∲⫓⫖↰⪸1677)⨪↰⇹(⫖↰⪸718⩚⊴⇥⫖↰⪸101A))⫡⨏(⊙↵-((⫖↰⪸21BA∲⫓⫖↰⪸4644)≧⫂∧(⫓⪴⫖↰⪸1462)))","highest_n_order":3,"priority_hierarchical_complexity":6,"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":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1823,"base":12},"right_expr":{"type":"numeric_atoms","value":2683,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1028,"base":12},"right_expr":{"type":"numeric_atoms","value":1750,"base":12}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3742,"base":12},"right_expr":{"type":"numeric_atoms","value":7828,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2378,"base":12}}}}},"used_operators":["QMFrweE19q","eLxqMNBOBk","tmPS8pqC7x","i8ToyICDmI","NTOWxs364D","oWn0xqSxBt","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸551","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1823","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=2683, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1750, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2899","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2899, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"number node, value=3742","layer":4},{"info":"number node, value=7828","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=7828, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5654884","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5654884, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5654411","layer":2},{"info":"compute unary expreesion, input=5654411, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=781","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸107B∲⫓⫖↰⪸1677)⨪↰⇹(⫖↰⪸718⩚⊴⇥⫖↰⪸101A))⫡⨏(⊙↵-((⫖↰⪸21BA∲⫓⫖↰⪸4644)≧⫂∧(⫓⪴⫖↰⪸1462)))=⫖↰⪸551","reverse_text":"⫖↰⪸551=(⫓⪴(⫖↰⪸107B∲⫓⫖↰⪸1677)⨪↰⇹(⫖↰⪸718⩚⊴⇥⫖↰⪸101A))⫡⨏(⊙↵-((⫖↰⪸21BA∲⫓⫖↰⪸4644)≧⫂∧(⫓⪴⫖↰⪸1462)))","cot":[{"info":"⫖↰⪸107B∲⫓⫖↰⪸1677=⫖↰⪸0","layer":3},{"info":"⫖↰⪸718⩚⊴⇥⫖↰⪸101A=⫖↰⪸-1817","layer":3},{"info":"⫖↰⪸0⨪↰⇹⫖↰⪸-1817=⫖↰⪸0","layer":2},{"info":"⫓⪴⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸21BA∲⫓⫖↰⪸4644=⫖↰⪸0","layer":3},{"info":"⫓⪴⫖↰⪸1462=⫖↰⪸1A88604","layer":3},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸1A88604=⫖↰⪸1A8828B","layer":2},{"info":"⊙↵-⫖↰⪸1A8828B=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸0⫡⨏⫖↰⪸-1=⫖↰⪸551","layer":0}]}
{"id":37,"expression_no_base_symbol":"+⊝⨔(($5527$≹⇙⪍$2745$⊉≛↸($4355$⊪))⪮%⊝($2563$⨓$3118$)⪮%⊝($1432$/$1111$))","expression":"+⊝⨔((⫖↰⪸3247≹⇙⪍⫖↰⪸1709⊉≛↸(⫖↰⪸262B⊪))⪮%⊝(⫖↰⪸1597⨓⫖↰⪸197A)⪮%⊝(⫖↰⪸9B4/⫖↰⪸787))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3199,"operation_count":8,"complexity_ratio":399.875,"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":5527,"base":12},"right_expr":{"type":"numeric_atoms","value":2745,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4355,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2563,"base":12},"right_expr":{"type":"numeric_atoms","value":3118,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1432,"base":12},"right_expr":{"type":"numeric_atoms","value":1111,"base":12}}}}},"used_operators":["DhbWaqg5eL","IWmyXbctLI","DZ8iAZOCBD","AHs5Up7iyr","zVYPLywUTj","3ViojmjbAp","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5527","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=5527, right_input=2745, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4355","layer":4},{"info":"compute unary expreesion, input=4355, 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=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=2563","layer":4},{"info":"number node, value=3118","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=3118, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3121","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1111, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-3121, right_input=1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5926","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5926, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":12,"result_base":12,"text":"+⊝⨔((⫖↰⪸3247≹⇙⪍⫖↰⪸1709⊉≛↸(⫖↰⪸262B⊪))⪮%⊝(⫖↰⪸1597⨓⫖↰⪸197A)⪮%⊝(⫖↰⪸9B4/⫖↰⪸787))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔((⫖↰⪸3247≹⇙⪍⫖↰⪸1709⊉≛↸(⫖↰⪸262B⊪))⪮%⊝(⫖↰⪸1597⨓⫖↰⪸197A)⪮%⊝(⫖↰⪸9B4/⫖↰⪸787))","cot":[{"info":"⫖↰⪸3247≹⇙⪍⫖↰⪸1709=NaN","layer":3},{"info":"⫖↰⪸262B⊪=⫖↰⪸0","layer":3},{"info":"NaN⊉≛↸⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1597⨓⫖↰⪸197A=⫖↰⪸-1981","layer":3},{"info":"⫖↰⪸9B4/⫖↰⪸787=⫖↰⪸1","layer":3},{"info":"⫖↰⪸-1981⪮%⊝⫖↰⪸1=⫖↰⪸-351A","layer":2},{"info":"NaN⪮%⊝⫖↰⪸-351A=NaN","layer":1},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":0}]}
{"id":38,"expression_no_base_symbol":"(((⊄⩳↩$1490$)⊦⊿)↺(($2077$/$4279$)⫸⊐$1117$↬$4049$))∑⇟⊟((⊄⩳↩($4929$⩚⊴⇥$1782$))⊉≛↸($3034$⪮%⊝$4678$⊉≛↸$1243$≹⇙⪍$1076$))","expression":"(((⊄⩳↩⫖↰⪸A42)⊦⊿)↺((⫖↰⪸1251/⫖↰⪸2587)⫸⊐⫖↰⪸791↬⫖↰⪸2415))∑⇟⊟((⊄⩳↩(⫖↰⪸2A29⩚⊴⇥⫖↰⪸1046))⊉≛↸(⫖↰⪸190A⪮%⊝⫖↰⪸285A⊉≛↸⫖↰⪸877≹⇙⪍⫖↰⪸758))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38,"operation_count":13,"complexity_ratio":2.923076923076923,"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":1490,"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":4279,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":4049,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4929,"base":12},"right_expr":{"type":"numeric_atoms","value":1782,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3034,"base":12},"right_expr":{"type":"numeric_atoms","value":4678,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1243,"base":12},"right_expr":{"type":"numeric_atoms","value":1076,"base":12}}}}},"used_operators":["U7g4x0WXJJ","7j4O788W3g","14qkJME0vr","8w2t5hMYqp","mqXw5SEYmG","XhwjNDsVaA","B5M0gjZbta","DZ8iAZOCBD","NTOWxs364D","IWmyXbctLI","AHs5Up7iyr"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":4},{"info":"compute unary expreesion, input=1490, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4470","layer":3},{"info":"compute unary expreesion, input=-4470, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=13331","layer":2},{"info":"number node, value=2077","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=4279, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=4049, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=13331, 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=4929","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=4929, right_input=1782, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6832","layer":3},{"info":"compute unary expreesion, input=-6832, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=20496","layer":2},{"info":"number node, value=3034","layer":4},{"info":"number node, value=4678","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=4678, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6384","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1076, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6384, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12768","layer":2},{"info":"compute binary expreesion, left_input=20496, right_input=12768, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=40992","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=40992, 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":"(((⊄⩳↩⫖↰⪸A42)⊦⊿)↺((⫖↰⪸1251/⫖↰⪸2587)⫸⊐⫖↰⪸791↬⫖↰⪸2415))∑⇟⊟((⊄⩳↩(⫖↰⪸2A29⩚⊴⇥⫖↰⪸1046))⊉≛↸(⫖↰⪸190A⪮%⊝⫖↰⪸285A⊉≛↸⫖↰⪸877≹⇙⪍⫖↰⪸758))=NaN","reverse_text":"NaN=(((⊄⩳↩⫖↰⪸A42)⊦⊿)↺((⫖↰⪸1251/⫖↰⪸2587)⫸⊐⫖↰⪸791↬⫖↰⪸2415))∑⇟⊟((⊄⩳↩(⫖↰⪸2A29⩚⊴⇥⫖↰⪸1046))⊉≛↸(⫖↰⪸190A⪮%⊝⫖↰⪸285A⊉≛↸⫖↰⪸877≹⇙⪍⫖↰⪸758))","cot":[{"info":"⊄⩳↩⫖↰⪸A42=⫖↰⪸-2706","layer":3},{"info":"⫖↰⪸-2706⊦⊿=⫖↰⪸786B","layer":2},{"info":"⫖↰⪸1251/⫖↰⪸2587=⫖↰⪸0","layer":3},{"info":"⫖↰⪸791↬⫖↰⪸2415=NaN","layer":3},{"info":"⫖↰⪸0⫸⊐NaN=⫖↰⪸0","layer":2},{"info":"⫖↰⪸786B↺⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2A29⩚⊴⇥⫖↰⪸1046=⫖↰⪸-3B54","layer":3},{"info":"⊄⩳↩⫖↰⪸-3B54=⫖↰⪸BA40","layer":2},{"info":"⫖↰⪸190A⪮%⊝⫖↰⪸285A=⫖↰⪸3840","layer":3},{"info":"⫖↰⪸877≹⇙⪍⫖↰⪸758=NaN","layer":3},{"info":"⫖↰⪸3840⊉≛↸NaN=⫖↰⪸7480","layer":2},{"info":"⫖↰⪸BA40⊉≛↸⫖↰⪸7480=⫖↰⪸1B880","layer":1},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸1B880=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"↩(($6363$⊦⊿)*$1306$⨟⋌⩍$3011$)⨽((⨈⫕$5539$)≣⋋)","expression":"↩((⫖↰⪸3823⊦⊿)*⫖↰⪸90A⨟⋌⩍⫖↰⪸18AB)⨽((⨈⫕⫖↰⪸3257)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":447,"operation_count":7,"complexity_ratio":63.857142857142854,"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":6363,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1306,"base":12},"right_expr":{"type":"numeric_atoms","value":3011,"base":12}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5539,"base":12}}}}},"used_operators":["jLgFTUHLKL","8HhzD0ZcuI","9HNa5Wba9A","14qkJME0vr","rGHVDoGpnC","Tcnh7f0tEr","megm06wKyl"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6363","layer":4},{"info":"compute unary expreesion, input=6363, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19168","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=3011, 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=-19168, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5539","layer":4},{"info":"compute unary expreesion, input=5539, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↩((⫖↰⪸3823⊦⊿)*⫖↰⪸90A⨟⋌⩍⫖↰⪸18AB)⨽((⨈⫕⫖↰⪸3257)≣⋋)=NaN","reverse_text":"NaN=↩((⫖↰⪸3823⊦⊿)*⫖↰⪸90A⨟⋌⩍⫖↰⪸18AB)⨽((⨈⫕⫖↰⪸3257)≣⋋)","cot":[{"info":"⫖↰⪸3823⊦⊿=⫖↰⪸-B114","layer":3},{"info":"⫖↰⪸90A⨟⋌⩍⫖↰⪸18AB=NaN","layer":3},{"info":"⫖↰⪸-B114*NaN=NaN","layer":2},{"info":"⨈⫕⫖↰⪸3257=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19≣⋋=⫖↰⪸0","layer":2},{"info":"NaN⨽⫖↰⪸0=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"($2934$⨟⋌⩍$1068$⨽($1096$⩨$1657$)⊠≄⫣)↛⩡⫤","expression":"(⫖↰⪸1846⨟⋌⩍⫖↰⪸750⨽(⫖↰⪸774⩨⫖↰⪸B61)⊠≄⫣)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":81,"operation_count":5,"complexity_ratio":16.2,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2934,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1096,"base":12},"right_expr":{"type":"numeric_atoms","value":1657,"base":12}}}}},"used_operators":["FU0Cs4j7VP","DIvbN7qnHd","8HhzD0ZcuI","rGHVDoGpnC","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2934","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=1068, 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=1096","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1657, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute 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":"(⫖↰⪸1846⨟⋌⩍⫖↰⪸750⨽(⫖↰⪸774⩨⫖↰⪸B61)⊠≄⫣)↛⩡⫤=NaN","reverse_text":"NaN=(⫖↰⪸1846⨟⋌⩍⫖↰⪸750⨽(⫖↰⪸774⩨⫖↰⪸B61)⊠≄⫣)↛⩡⫤","cot":[{"info":"⫖↰⪸1846⨟⋌⩍⫖↰⪸750=NaN","layer":3},{"info":"⫖↰⪸774⩨⫖↰⪸B61=⫖↰⪸-3","layer":3},{"info":"NaN⨽⫖↰⪸-3=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"(($3987$≎⊠⪸$2713$)⪛($1141$⫸⊐$1293$)⊠≄⫣)⪢(($4656$⨐⩸⫘$1417$)⋳⪒(⋗⩬⋾$2082$)⊘)","expression":"((⫖↰⪸2383≎⊠⪸⫖↰⪸16A1)⪛(⫖↰⪸7B1⫸⊐⫖↰⪸8B9)⊠≄⫣)⪢((⫖↰⪸2840⨐⩸⫘⫖↰⪸9A1)⋳⪒(⋗⩬⋾⫖↰⪸1256)⊘)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":537,"operation_count":9,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3987,"base":12},"right_expr":{"type":"numeric_atoms","value":2713,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1141,"base":12},"right_expr":{"type":"numeric_atoms","value":1293,"base":12}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4656,"base":12},"right_expr":{"type":"numeric_atoms","value":1417,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2082,"base":12}}}}},"used_operators":["dWAJyo7jo9","DIvbN7qnHd","uFcxV4UQCh","bJkvcejdHO","mqXw5SEYmG","gu96TGCTMs","12rbrZMWeM","fu6greOZ01","DpFCA1CohY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3987","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=3987, right_input=2713, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1032160","layer":3},{"info":"number node, value=1141","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=1293, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5047","layer":3},{"info":"compute binary expreesion, left_input=1032160, right_input=5047, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2572","layer":2},{"info":"compute unary expreesion, input=2572, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=4656","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=4656, right_input=1417, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6246","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6246, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2383≎⊠⪸⫖↰⪸16A1)⪛(⫖↰⪸7B1⫸⊐⫖↰⪸8B9)⊠≄⫣)⪢((⫖↰⪸2840⨐⩸⫘⫖↰⪸9A1)⋳⪒(⋗⩬⋾⫖↰⪸1256)⊘)=NaN","reverse_text":"NaN=((⫖↰⪸2383≎⊠⪸⫖↰⪸16A1)⪛(⫖↰⪸7B1⫸⊐⫖↰⪸8B9)⊠≄⫣)⪢((⫖↰⪸2840⨐⩸⫘⫖↰⪸9A1)⋳⪒(⋗⩬⋾⫖↰⪸1256)⊘)","cot":[{"info":"⫖↰⪸2383≎⊠⪸⫖↰⪸16A1=⫖↰⪸419394","layer":3},{"info":"⫖↰⪸7B1⫸⊐⫖↰⪸8B9=⫖↰⪸2B07","layer":3},{"info":"⫖↰⪸419394⪛⫖↰⪸2B07=⫖↰⪸15A4","layer":2},{"info":"⫖↰⪸15A4⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2840⨐⩸⫘⫖↰⪸9A1=NaN","layer":3},{"info":"⋗⩬⋾⫖↰⪸1256=⫖↰⪸-3746","layer":3},{"info":"NaN⋳⪒⫖↰⪸-3746=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫖↰⪸0⪢NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"($8614$⨰$2392$*($1672$∲⫓$2652$))⪘⫢(($1486$∸)⋝⋈⪟$3463$∑⇟⊟$2280$)+⇶⊼($4310$⨐⩸⫘$4555$⫸⊐($3108$≦≮≮)⫡⨏($1248$⩚⊴⇥$5933$)⨰($1957$⫡⨏$7204$))","expression":"(⫖↰⪸4B9A⨰⫖↰⪸1474*(⫖↰⪸B74∲⫓⫖↰⪸1650))⪘⫢((⫖↰⪸A3A∸)⋝⋈⪟⫖↰⪸2007∑⇟⊟⫖↰⪸13A0)+⇶⊼(⫖↰⪸25B2⨐⩸⫘⫖↰⪸2777⫸⊐(⫖↰⪸1970≦≮≮)⫡⨏(⫖↰⪸880⩚⊴⇥⫖↰⪸3525)⨰(⫖↰⪸1171⫡⨏⫖↰⪸4204))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":231,"operation_count":15,"complexity_ratio":15.4,"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":8614,"base":12},"right_expr":{"type":"numeric_atoms","value":2392,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1672,"base":12},"right_expr":{"type":"numeric_atoms","value":2652,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1486,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3463,"base":12},"right_expr":{"type":"numeric_atoms","value":2280,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4310,"base":12},"right_expr":{"type":"numeric_atoms","value":4555,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3108,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1248,"base":12},"right_expr":{"type":"numeric_atoms","value":5933,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1957,"base":12},"right_expr":{"type":"numeric_atoms","value":7204,"base":12}}}}},"used_operators":["TpPTUOHfaN","oacrs7FA3X","9HNa5Wba9A","eewbuw0ToL","i8ToyICDmI","2DDjHMKMc0","o20kRiQErp","U7g4x0WXJJ","QMFrweE19q","mqXw5SEYmG","fu6greOZ01","D4vGDi5EA2","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8614","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=8614, right_input=2392, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6232","layer":3},{"info":"number node, value=1672","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=2652, 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=6232, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3463","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=3463, right_input=2280, 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=177, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=4310","layer":4},{"info":"number node, value=4555","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=4555, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3108","layer":4},{"info":"compute unary expreesion, input=3108, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9324","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9324, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1248","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=5933, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7302","layer":3},{"info":"number node, value=1957","layer":4},{"info":"number node, value=7204","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=7204, 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=24976","layer":3},{"info":"compute binary expreesion, left_input=-7302, right_input=24976, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-32268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-32268, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫖↰⪸4B9A⨰⫖↰⪸1474*(⫖↰⪸B74∲⫓⫖↰⪸1650))⪘⫢((⫖↰⪸A3A∸)⋝⋈⪟⫖↰⪸2007∑⇟⊟⫖↰⪸13A0)+⇶⊼(⫖↰⪸25B2⨐⩸⫘⫖↰⪸2777⫸⊐(⫖↰⪸1970≦≮≮)⫡⨏(⫖↰⪸880⩚⊴⇥⫖↰⪸3525)⨰(⫖↰⪸1171⫡⨏⫖↰⪸4204))=NaN","reverse_text":"NaN=(⫖↰⪸4B9A⨰⫖↰⪸1474*(⫖↰⪸B74∲⫓⫖↰⪸1650))⪘⫢((⫖↰⪸A3A∸)⋝⋈⪟⫖↰⪸2007∑⇟⊟⫖↰⪸13A0)+⇶⊼(⫖↰⪸25B2⨐⩸⫘⫖↰⪸2777⫸⊐(⫖↰⪸1970≦≮≮)⫡⨏(⫖↰⪸880⩚⊴⇥⫖↰⪸3525)⨰(⫖↰⪸1171⫡⨏⫖↰⪸4204))","cot":[{"info":"⫖↰⪸4B9A⨰⫖↰⪸1474=⫖↰⪸3734","layer":3},{"info":"⫖↰⪸B74∲⫓⫖↰⪸1650=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3734*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A3A∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸2007∑⇟⊟⫖↰⪸13A0=NaN","layer":3},{"info":"⫖↰⪸129⋝⋈⪟NaN=NaN","layer":2},{"info":"⫖↰⪸0⪘⫢NaN=NaN","layer":1},{"info":"⫖↰⪸25B2⨐⩸⫘⫖↰⪸2777=NaN","layer":3},{"info":"⫖↰⪸1970≦≮≮=⫖↰⪸-5490","layer":3},{"info":"NaN⫸⊐⫖↰⪸-5490=NaN","layer":2},{"info":"⫖↰⪸880⩚⊴⇥⫖↰⪸3525=⫖↰⪸-4286","layer":3},{"info":"⫖↰⪸1171⫡⨏⫖↰⪸4204=⫖↰⪸12554","layer":3},{"info":"⫖↰⪸-4286⨰⫖↰⪸12554=⫖↰⪸-16810","layer":2},{"info":"NaN⫡⨏⫖↰⪸-16810=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":43,"expression_no_base_symbol":"(∂($4186$⨓$2238$))⋝⋈⪟($1487$⪮%⊝$5933$⨳⩥⨓$6122$⨐⩸⫘$2513$)⨰(≤/$5092$∼$1140$↙(⋗⩬⋾$3321$))","expression":"(∂(⫖↰⪸250A⨓⫖↰⪸1366))⋝⋈⪟(⫖↰⪸A3B⪮%⊝⫖↰⪸3525⨳⩥⨓⫖↰⪸3662⨐⩸⫘⫖↰⪸1555)⨰(≤/⫖↰⪸2B44∼⫖↰⪸7B0↙(⋗⩬⋾⫖↰⪸1B09))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2789,"operation_count":11,"complexity_ratio":253.54545454545453,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4186,"base":12},"right_expr":{"type":"numeric_atoms","value":2238,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1487,"base":12},"right_expr":{"type":"numeric_atoms","value":5933,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6122,"base":12},"right_expr":{"type":"numeric_atoms","value":2513,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5092,"base":12},"right_expr":{"type":"numeric_atoms","value":1140,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3321,"base":12}}}}},"used_operators":["eewbuw0ToL","2DDjHMKMc0","Uaa54Peajs","3ViojmjbAp","nCS4ZIUYfx","IWmyXbctLI","fu6greOZ01","eLAdDNolq6","yyfyN0ffXY","DyGG3AbaNP","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4186","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=2238, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2241","layer":3},{"info":"compute unary expreesion, input=-2241, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1977","layer":2},{"info":"number node, value=1487","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=5933, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3290","layer":3},{"info":"number node, value=6122","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=6122, right_input=2513, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3290, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1977, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5092","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=5092, right_input=1140, 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=3321","layer":4},{"info":"compute unary expreesion, input=3321, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9963","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9963, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , 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":"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":"(∂(⫖↰⪸250A⨓⫖↰⪸1366))⋝⋈⪟(⫖↰⪸A3B⪮%⊝⫖↰⪸3525⨳⩥⨓⫖↰⪸3662⨐⩸⫘⫖↰⪸1555)⨰(≤/⫖↰⪸2B44∼⫖↰⪸7B0↙(⋗⩬⋾⫖↰⪸1B09))=NaN","reverse_text":"NaN=(∂(⫖↰⪸250A⨓⫖↰⪸1366))⋝⋈⪟(⫖↰⪸A3B⪮%⊝⫖↰⪸3525⨳⩥⨓⫖↰⪸3662⨐⩸⫘⫖↰⪸1555)⨰(≤/⫖↰⪸2B44∼⫖↰⪸7B0↙(⋗⩬⋾⫖↰⪸1B09))","cot":[{"info":"⫖↰⪸250A⨓⫖↰⪸1366=⫖↰⪸-1369","layer":3},{"info":"∂⫖↰⪸-1369=⫖↰⪸1189","layer":2},{"info":"⫖↰⪸A3B⪮%⊝⫖↰⪸3525=⫖↰⪸1AA2","layer":3},{"info":"⫖↰⪸3662⨐⩸⫘⫖↰⪸1555=NaN","layer":3},{"info":"⫖↰⪸1AA2⨳⩥⨓NaN=NaN","layer":2},{"info":"⫖↰⪸1189⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸2B44∼⫖↰⪸7B0=NaN","layer":3},{"info":"⋗⩬⋾⫖↰⪸1B09=⫖↰⪸-5923","layer":3},{"info":"NaN↙⫖↰⪸-5923=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"(($1313$↛⩡⫤)⨎$1957$∼$8153$⨵⪆(($7335$⨳⩥⨓$2025$)⊘))≹⇙⪍(↽≂(+⊝⨔($4999$∑⇟⊟$2295$)))","expression":"((⫖↰⪸915↛⩡⫤)⨎⫖↰⪸1171∼⫖↰⪸4875⨵⪆((⫖↰⪸42B3⨳⩥⨓⫖↰⪸1209)⊘))≹⇙⪍(↽≂(+⊝⨔(⫖↰⪸2A87∑⇟⊟⫖↰⪸13B3)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4164,"operation_count":10,"complexity_ratio":416.4,"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":1313,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1957,"base":12},"right_expr":{"type":"numeric_atoms","value":8153,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7335,"base":12},"right_expr":{"type":"numeric_atoms","value":2025,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4999,"base":12},"right_expr":{"type":"numeric_atoms","value":2295,"base":12}}}}},"used_operators":["AHs5Up7iyr","2DQ55sFlQl","rJVOvQCfKK","FU0Cs4j7VP","DyGG3AbaNP","gu96TGCTMs","nCS4ZIUYfx","u6S6b8DprG","DhbWaqg5eL","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-194352","layer":3},{"info":"number node, value=1957","layer":4},{"info":"number node, value=8153","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=8153, 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=-194352, 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=7335","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=7335, right_input=2025, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5310","layer":3},{"info":"compute unary expreesion, input=-5310, 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=nan, right_input=-1, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4999","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=2295, 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 = 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3044","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3044, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⫖↰⪸915↛⩡⫤)⨎⫖↰⪸1171∼⫖↰⪸4875⨵⪆((⫖↰⪸42B3⨳⩥⨓⫖↰⪸1209)⊘))≹⇙⪍(↽≂(+⊝⨔(⫖↰⪸2A87∑⇟⊟⫖↰⪸13B3)))=NaN","reverse_text":"NaN=((⫖↰⪸915↛⩡⫤)⨎⫖↰⪸1171∼⫖↰⪸4875⨵⪆((⫖↰⪸42B3⨳⩥⨓⫖↰⪸1209)⊘))≹⇙⪍(↽≂(+⊝⨔(⫖↰⪸2A87∑⇟⊟⫖↰⪸13B3)))","cot":[{"info":"⫖↰⪸915↛⩡⫤=⫖↰⪸-94580","layer":3},{"info":"⫖↰⪸1171∼⫖↰⪸4875=NaN","layer":3},{"info":"⫖↰⪸-94580⨎NaN=NaN","layer":2},{"info":"⫖↰⪸42B3⨳⩥⨓⫖↰⪸1209=⫖↰⪸-30A6","layer":3},{"info":"⫖↰⪸-30A6⊘=⫖↰⪸-1","layer":2},{"info":"NaN⨵⪆⫖↰⪸-1=⫖↰⪸114","layer":1},{"info":"⫖↰⪸2A87∑⇟⊟⫖↰⪸13B3=NaN","layer":3},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":2},{"info":"↽≂⫖↰⪸A6A=⫖↰⪸-1918","layer":1},{"info":"⫖↰⪸114≹⇙⪍⫖↰⪸-1918=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"((↔$1534$)⋓(≤/$5966$)⫡⨏(⊥$4396$⪮%⊝$1707$))+⇶⊼(↣≠⋷(⨵≀≌(∥⊫$2703$)))","expression":"((↔⫖↰⪸A7A)⋓(≤/⫖↰⪸3552)⫡⨏(⊥⫖↰⪸2664⪮%⊝⫖↰⪸BA3))+⇶⊼(↣≠⋷(⨵≀≌(∥⊫⫖↰⪸1693)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49,"operation_count":10,"complexity_ratio":4.9,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1534,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5966,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4396,"base":12},"right_expr":{"type":"numeric_atoms","value":1707,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2703,"base":12}}}}},"used_operators":["TpPTUOHfaN","QMFrweE19q","T2fj7uvVaJ","ruOEQAzv1W","eLAdDNolq6","Q3PJZHRvZv","IWmyXbctLI","Asc51vEJeQ","srAu1WTS94","P8v4zCKN1o"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1261","layer":3},{"info":"number node, value=5966","layer":4},{"info":"compute unary expreesion, input=5966, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5482","layer":3},{"info":"compute binary expreesion, left_input=-1261, right_input=-5482, 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=4396","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=1707, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9108","layer":3},{"info":"compute unary expreesion, input=9108, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=2703","layer":4},{"info":"compute unary expreesion, input=2703, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3571","layer":3},{"info":"compute unary expreesion, input=3571, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10713","layer":2},{"info":"compute unary expreesion, input=-10713, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((↔⫖↰⪸A7A)⋓(≤/⫖↰⪸3552)⫡⨏(⊥⫖↰⪸2664⪮%⊝⫖↰⪸BA3))+⇶⊼(↣≠⋷(⨵≀≌(∥⊫⫖↰⪸1693)))=NaN","reverse_text":"NaN=((↔⫖↰⪸A7A)⋓(≤/⫖↰⪸3552)⫡⨏(⊥⫖↰⪸2664⪮%⊝⫖↰⪸BA3))+⇶⊼(↣≠⋷(⨵≀≌(∥⊫⫖↰⪸1693)))","cot":[{"info":"↔⫖↰⪸A7A=⫖↰⪸-891","layer":3},{"info":"≤/⫖↰⪸3552=⫖↰⪸-320A","layer":3},{"info":"⫖↰⪸-891⋓⫖↰⪸-320A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2664⪮%⊝⫖↰⪸BA3=⫖↰⪸5330","layer":3},{"info":"⊥⫖↰⪸5330=NaN","layer":2},{"info":"⫖↰⪸0⫡⨏NaN=NaN","layer":1},{"info":"∥⊫⫖↰⪸1693=⫖↰⪸2097","layer":3},{"info":"⨵≀≌⫖↰⪸2097=⫖↰⪸-6249","layer":2},{"info":"↣≠⋷⫖↰⪸-6249=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"((∂($9624$⨰$5711$))*(⫓⪴($4672$⇋≉)))⋥≓≎($4978$⨓$3091$≭(↔$1164$)⊉≛↸($1675$-$5824$)⫸⊐$3900$⋳⪒$1388$)","expression":"((∂(⫖↰⪸56A0⨰⫖↰⪸337B))*(⫓⪴(⫖↰⪸2854⇋≉)))⋥≓≎(⫖↰⪸2A6A⨓⫖↰⪸1957≭(↔⫖↰⪸810)⊉≛↸(⫖↰⪸B77-⫖↰⪸3454)⫸⊐⫖↰⪸2310⋳⪒⫖↰⪸978)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12378,"operation_count":13,"complexity_ratio":952.1538461538462,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":9624,"base":12},"right_expr":{"type":"numeric_atoms","value":5711,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4672,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4978,"base":12},"right_expr":{"type":"numeric_atoms","value":3091,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1164,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1675,"base":12},"right_expr":{"type":"numeric_atoms","value":5824,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3900,"base":12},"right_expr":{"type":"numeric_atoms","value":1388,"base":12}}}}},"used_operators":["Qy55tPpLXF","9HNa5Wba9A","Uaa54Peajs","eewbuw0ToL","eLxqMNBOBk","XIabStNQrY","DZ8iAZOCBD","rxpJgHHUmx","3ViojmjbAp","ruOEQAzv1W","mqXw5SEYmG","rysDP5nf3Z","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9624","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=9624, right_input=5711, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3923","layer":3},{"info":"compute unary expreesion, input=3923, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=4672","layer":4},{"info":"compute unary expreesion, input=4672, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9246","layer":3},{"info":"compute unary expreesion, input=9246, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=85488516","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=85488516, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4978","layer":4},{"info":"number node, value=3091","layer":4},{"info":"compute binary expreesion, left_input=4978, right_input=3091, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3094","layer":3},{"info":"number node, value=1164","layer":4},{"info":"compute unary expreesion, input=1164, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-891","layer":3},{"info":"compute binary expreesion, left_input=-3094, right_input=-891, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1675","layer":4},{"info":"number node, value=5824","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=5824, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4149","layer":3},{"info":"number node, value=3900","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=3900, right_input=1388, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6125","layer":3},{"info":"compute binary expreesion, left_input=-4149, right_input=6125, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((∂(⫖↰⪸56A0⨰⫖↰⪸337B))*(⫓⪴(⫖↰⪸2854⇋≉)))⋥≓≎(⫖↰⪸2A6A⨓⫖↰⪸1957≭(↔⫖↰⪸810)⊉≛↸(⫖↰⪸B77-⫖↰⪸3454)⫸⊐⫖↰⪸2310⋳⪒⫖↰⪸978)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((∂(⫖↰⪸56A0⨰⫖↰⪸337B))*(⫓⪴(⫖↰⪸2854⇋≉)))⋥≓≎(⫖↰⪸2A6A⨓⫖↰⪸1957≭(↔⫖↰⪸810)⊉≛↸(⫖↰⪸B77-⫖↰⪸3454)⫸⊐⫖↰⪸2310⋳⪒⫖↰⪸978)","cot":[{"info":"⫖↰⪸56A0⨰⫖↰⪸337B=⫖↰⪸232B","layer":3},{"info":"∂⫖↰⪸232B=NaN","layer":2},{"info":"⫖↰⪸2854⇋≉=⫖↰⪸5426","layer":3},{"info":"⫓⪴⫖↰⪸5426=⫖↰⪸24768630","layer":2},{"info":"NaN*⫖↰⪸24768630=NaN","layer":1},{"info":"⫖↰⪸2A6A⨓⫖↰⪸1957=⫖↰⪸-195A","layer":3},{"info":"↔⫖↰⪸810=⫖↰⪸-623","layer":3},{"info":"⫖↰⪸-195A≭⫖↰⪸-623=NaN","layer":2},{"info":"⫖↰⪸B77-⫖↰⪸3454=⫖↰⪸-2499","layer":3},{"info":"⫖↰⪸2310⋳⪒⫖↰⪸978=⫖↰⪸3665","layer":3},{"info":"⫖↰⪸-2499⫸⊐⫖↰⪸3665=⫖↰⪸688","layer":2},{"info":"NaN⊉≛↸⫖↰⪸688=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":47,"expression_no_base_symbol":"((↔$8682$)*$1109$⨓$5893$+(+⊝⨔$3215$)⪄$9681$∼$3301$)⪘⫢(((⊄⩳↩$2207$)⊭↱$5540$∼$2658$)↺((∥⊫$4062$)⪒(∂$1421$)))","expression":"((↔⫖↰⪸5036)*⫖↰⪸785⨓⫖↰⪸34B1+(+⊝⨔⫖↰⪸1A3B)⪄⫖↰⪸5729∼⫖↰⪸1AB1)⪘⫢(((⊄⩳↩⫖↰⪸133B)⊭↱⫖↰⪸3258∼⫖↰⪸1656)↺((∥⊫⫖↰⪸2426)⪒(∂⫖↰⪸9A5)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12266,"operation_count":15,"complexity_ratio":817.7333333333333,"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":8682,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1109,"base":12},"right_expr":{"type":"numeric_atoms","value":5893,"base":12}}},"right_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":9681,"base":12},"right_expr":{"type":"numeric_atoms","value":3301,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2207,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5540,"base":12},"right_expr":{"type":"numeric_atoms","value":2658,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4062,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1421,"base":12}}}}},"used_operators":["oacrs7FA3X","W4YGzv6Whe","9HNa5Wba9A","ruOEQAzv1W","3ViojmjbAp","SUmda5xLS4","DhbWaqg5eL","DyGG3AbaNP","7j4O788W3g","COABgblf1C","8w2t5hMYqp","f6k1SAg4EE","P8v4zCKN1o","Uaa54Peajs"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8682","layer":4},{"info":"compute unary expreesion, input=8682, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8409","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=5893","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=5893, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5896","layer":3},{"info":"compute binary expreesion, left_input=-8409, right_input=-5896, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=49579464","layer":2},{"info":"number node, value=3215","layer":4},{"info":"compute unary expreesion, input=3215, 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=9681","layer":4},{"info":"number node, value=3301","layer":4},{"info":"compute binary expreesion, left_input=9681, right_input=3301, 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=1522, 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=49579464, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6621","layer":3},{"info":"number node, value=5540","layer":4},{"info":"number node, value=2658","layer":4},{"info":"compute binary expreesion, left_input=5540, right_input=2658, 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=-6621, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4062","layer":4},{"info":"compute unary expreesion, input=4062, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4930","layer":3},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, 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=4930, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":"((↔⫖↰⪸5036)*⫖↰⪸785⨓⫖↰⪸34B1+(+⊝⨔⫖↰⪸1A3B)⪄⫖↰⪸5729∼⫖↰⪸1AB1)⪘⫢(((⊄⩳↩⫖↰⪸133B)⊭↱⫖↰⪸3258∼⫖↰⪸1656)↺((∥⊫⫖↰⪸2426)⪒(∂⫖↰⪸9A5)))=NaN","reverse_text":"NaN=((↔⫖↰⪸5036)*⫖↰⪸785⨓⫖↰⪸34B1+(+⊝⨔⫖↰⪸1A3B)⪄⫖↰⪸5729∼⫖↰⪸1AB1)⪘⫢(((⊄⩳↩⫖↰⪸133B)⊭↱⫖↰⪸3258∼⫖↰⪸1656)↺((∥⊫⫖↰⪸2426)⪒(∂⫖↰⪸9A5)))","cot":[{"info":"↔⫖↰⪸5036=⫖↰⪸-4A49","layer":3},{"info":"⫖↰⪸785⨓⫖↰⪸34B1=⫖↰⪸-34B4","layer":3},{"info":"⫖↰⪸-4A49*⫖↰⪸-34B4=⫖↰⪸1472B9A0","layer":2},{"info":"+⊝⨔⫖↰⪸1A3B=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸5729∼⫖↰⪸1AB1=NaN","layer":3},{"info":"⫖↰⪸A6A⪄NaN=NaN","layer":2},{"info":"⫖↰⪸1472B9A0+NaN=NaN","layer":1},{"info":"⊄⩳↩⫖↰⪸133B=⫖↰⪸-39B9","layer":3},{"info":"⫖↰⪸3258∼⫖↰⪸1656=NaN","layer":3},{"info":"⫖↰⪸-39B9⊭↱NaN=NaN","layer":2},{"info":"∥⊫⫖↰⪸2426=⫖↰⪸2A2A","layer":3},{"info":"∂⫖↰⪸9A5=NaN","layer":3},{"info":"⫖↰⪸2A2A⪒NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"(≤/$2953$≎⊠⪸$2865$⨎$1932$≎⊠⪸$2216$)⪄((⫛⫱⨽$1322$)⫸⊐($3977$∲⫓$1452$))⫥∨⫟(≦∁$1434$⊭↱$6689$)","expression":"(≤/⫖↰⪸1861≎⊠⪸⫖↰⪸17A9⨎⫖↰⪸1150≎⊠⪸⫖↰⪸1348)⪄((⫛⫱⨽⫖↰⪸922)⫸⊐(⫖↰⪸2375∲⫓⫖↰⪸A10))⫥∨⫟(≦∁⫖↰⪸9B6⊭↱⫖↰⪸3A55)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2223,"operation_count":11,"complexity_ratio":202.0909090909091,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2953,"base":12},"right_expr":{"type":"numeric_atoms","value":2865,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1932,"base":12},"right_expr":{"type":"numeric_atoms","value":2216,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1322,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3977,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1434,"base":12},"right_expr":{"type":"numeric_atoms","value":6689,"base":12}}}}},"used_operators":["SUmda5xLS4","eLAdDNolq6","rJVOvQCfKK","bJkvcejdHO","KYD54nUTWz","mqXw5SEYmG","DlLNRPXxWL","i8ToyICDmI","9ICcGScMcE","COABgblf1C"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2953","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=2953, right_input=2865, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=764354","layer":3},{"info":"number node, value=1932","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=2216, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=499915","layer":3},{"info":"compute binary expreesion, left_input=764354, right_input=499915, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=499915","layer":2},{"info":"compute unary expreesion, input=499915, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-499431","layer":1},{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3977","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=1452, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"number node, value=1434","layer":4},{"info":"number node, value=6689","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=6689, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10515","layer":3},{"info":"compute unary expreesion, input=10515, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=10515","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10515, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-499431, 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":"(≤/⫖↰⪸1861≎⊠⪸⫖↰⪸17A9⨎⫖↰⪸1150≎⊠⪸⫖↰⪸1348)⪄((⫛⫱⨽⫖↰⪸922)⫸⊐(⫖↰⪸2375∲⫓⫖↰⪸A10))⫥∨⫟(≦∁⫖↰⪸9B6⊭↱⫖↰⪸3A55)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(≤/⫖↰⪸1861≎⊠⪸⫖↰⪸17A9⨎⫖↰⪸1150≎⊠⪸⫖↰⪸1348)⪄((⫛⫱⨽⫖↰⪸922)⫸⊐(⫖↰⪸2375∲⫓⫖↰⪸A10))⫥∨⫟(≦∁⫖↰⪸9B6⊭↱⫖↰⪸3A55)","cot":[{"info":"⫖↰⪸1861≎⊠⪸⫖↰⪸17A9=⫖↰⪸30A402","layer":3},{"info":"⫖↰⪸1150≎⊠⪸⫖↰⪸1348=⫖↰⪸201377","layer":3},{"info":"⫖↰⪸30A402⨎⫖↰⪸201377=⫖↰⪸201377","layer":2},{"info":"≤/⫖↰⪸201377=⫖↰⪸-201033","layer":1},{"info":"⫛⫱⨽⫖↰⪸922=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2375∲⫓⫖↰⪸A10=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⫸⊐⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸9B6⊭↱⫖↰⪸3A55=⫖↰⪸6103","layer":3},{"info":"≦∁⫖↰⪸6103=⫖↰⪸6103","layer":2},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸6103=NaN","layer":1},{"info":"⫖↰⪸-201033⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":49,"expression_no_base_symbol":"((⨑⩽⪐($2407$⊭↱$1110$))-($5037$%$2732$)*$3485$⪄$6186$)⊭↱($5736$⨸⪁$1288$)⨟⋌⩍(↯⪼$2489$)≧⫂∧($9381$≧⫂∧$1137$)⪛($1281$↙$1185$)","expression":"((⨑⩽⪐(⫖↰⪸1487⊭↱⫖↰⪸786))-(⫖↰⪸2AB9%⫖↰⪸16B8)*⫖↰⪸2025⪄⫖↰⪸36B6)⊭↱(⫖↰⪸33A0⨸⪁⫖↰⪸8B4)⨟⋌⩍(↯⪼⫖↰⪸1535)≧⫂∧(⫖↰⪸5519≧⫂∧⫖↰⪸7A9)⪛(⫖↰⪸8A9↙⫖↰⪸829)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4244,"operation_count":14,"complexity_ratio":303.14285714285717,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2407,"base":12},"right_expr":{"type":"numeric_atoms","value":1110,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5037,"base":12},"right_expr":{"type":"numeric_atoms","value":2732,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3485,"base":12},"right_expr":{"type":"numeric_atoms","value":6186,"base":12}}}},"right_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":1288,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2489,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9381,"base":12},"right_expr":{"type":"numeric_atoms","value":1137,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1281,"base":12},"right_expr":{"type":"numeric_atoms","value":1185,"base":12}}}}},"used_operators":["COABgblf1C","rysDP5nf3Z","AF7qkfDlqP","9HNa5Wba9A","k8jYdgA6NY","SUmda5xLS4","Ph9nP6C5qx","rGHVDoGpnC","g55IO6H4Gj","8jW3W4yZS5","uFcxV4UQCh","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2407","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=1110, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2589","layer":3},{"info":"compute unary expreesion, input=-2589, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=5967","layer":2},{"info":"number node, value=5037","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=2732, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2305","layer":3},{"info":"number node, value=3485","layer":4},{"info":"number node, value=6186","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=6186, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-536613","layer":3},{"info":"compute binary expreesion, left_input=2305, right_input=-536613, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1236892965","layer":2},{"info":"compute binary expreesion, left_input=5967, right_input=-1236892965, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1236898932","layer":1},{"info":"number node, value=5736","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=5736, right_input=1288, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14048","layer":3},{"info":"number node, value=2489","layer":4},{"info":"compute unary expreesion, input=2489, 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=14048, right_input=-21, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=9381","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=9381, right_input=1137, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=664","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1185, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3555","layer":3},{"info":"compute binary expreesion, left_input=664, right_input=-3555, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2891","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2891, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2891","layer":1},{"info":"compute binary expreesion, left_input=1236898932, right_input=2891, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"((⨑⩽⪐(⫖↰⪸1487⊭↱⫖↰⪸786))-(⫖↰⪸2AB9%⫖↰⪸16B8)*⫖↰⪸2025⪄⫖↰⪸36B6)⊭↱(⫖↰⪸33A0⨸⪁⫖↰⪸8B4)⨟⋌⩍(↯⪼⫖↰⪸1535)≧⫂∧(⫖↰⪸5519≧⫂∧⫖↰⪸7A9)⪛(⫖↰⪸8A9↙⫖↰⪸829)=-Inf","reverse_text":"-Inf=((⨑⩽⪐(⫖↰⪸1487⊭↱⫖↰⪸786))-(⫖↰⪸2AB9%⫖↰⪸16B8)*⫖↰⪸2025⪄⫖↰⪸36B6)⊭↱(⫖↰⪸33A0⨸⪁⫖↰⪸8B4)⨟⋌⩍(↯⪼⫖↰⪸1535)≧⫂∧(⫖↰⪸5519≧⫂∧⫖↰⪸7A9)⪛(⫖↰⪸8A9↙⫖↰⪸829)","cot":[{"info":"⫖↰⪸1487⊭↱⫖↰⪸786=⫖↰⪸-15B9","layer":3},{"info":"⨑⩽⪐⫖↰⪸-15B9=⫖↰⪸3553","layer":2},{"info":"⫖↰⪸2AB9%⫖↰⪸16B8=⫖↰⪸1401","layer":3},{"info":"⫖↰⪸2025⪄⫖↰⪸36B6=⫖↰⪸-21A659","layer":3},{"info":"⫖↰⪸1401*⫖↰⪸-21A659=⫖↰⪸-2A6296659","layer":2},{"info":"⫖↰⪸3553-⫖↰⪸-2A6296659=⫖↰⪸2A6299BB0","layer":1},{"info":"⫖↰⪸33A0⨸⪁⫖↰⪸8B4=⫖↰⪸8168","layer":3},{"info":"↯⪼⫖↰⪸1535=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸8168⨟⋌⩍⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⫖↰⪸5519≧⫂∧⫖↰⪸7A9=⫖↰⪸474","layer":3},{"info":"⫖↰⪸8A9↙⫖↰⪸829=⫖↰⪸-2083","layer":3},{"info":"⫖↰⪸474⪛⫖↰⪸-2083=⫖↰⪸-180B","layer":2},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸-180B=⫖↰⪸180B","layer":1},{"info":"⫖↰⪸2A6299BB0⊭↱⫖↰⪸180B=-Inf","layer":0}]}
{"id":50,"expression_no_base_symbol":"⫓⪴(($4461$⨎$1061$⨎($2320$↺$6945$))⩷∴(⨈⫕$5859$⋓$4684$))","expression":"⫓⪴((⫖↰⪸26B9⨎⫖↰⪸745⨎(⫖↰⪸1414↺⫖↰⪸4029))⩷∴(⨈⫕⫖↰⪸3483⋓⫖↰⪸2864))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14309,"operation_count":7,"complexity_ratio":2044.142857142857,"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":4461,"base":12},"right_expr":{"type":"numeric_atoms","value":1061,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2320,"base":12},"right_expr":{"type":"numeric_atoms","value":6945,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5859,"base":12},"right_expr":{"type":"numeric_atoms","value":4684,"base":12}}}}},"used_operators":["eLxqMNBOBk","9FxExcQeMw","rJVOvQCfKK","7j4O788W3g","megm06wKyl","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸54857414","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4461","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=4461, right_input=1061, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1061","layer":3},{"info":"number node, value=2320","layer":4},{"info":"number node, value=6945","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=6945, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6945","layer":3},{"info":"compute binary expreesion, left_input=1061, right_input=6945, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6945","layer":2},{"info":"number node, value=5859","layer":4},{"info":"number node, value=4684","layer":4},{"info":"compute binary expreesion, left_input=5859, right_input=4684, 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 = 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=6945, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13900","layer":1},{"info":"compute unary expreesion, input=13900, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=193210000","layer":0}],"base":12,"result_base":12,"text":"⫓⪴((⫖↰⪸26B9⨎⫖↰⪸745⨎(⫖↰⪸1414↺⫖↰⪸4029))⩷∴(⨈⫕⫖↰⪸3483⋓⫖↰⪸2864))=⫖↰⪸54857414","reverse_text":"⫖↰⪸54857414=⫓⪴((⫖↰⪸26B9⨎⫖↰⪸745⨎(⫖↰⪸1414↺⫖↰⪸4029))⩷∴(⨈⫕⫖↰⪸3483⋓⫖↰⪸2864))","cot":[{"info":"⫖↰⪸26B9⨎⫖↰⪸745=⫖↰⪸745","layer":3},{"info":"⫖↰⪸1414↺⫖↰⪸4029=⫖↰⪸4029","layer":3},{"info":"⫖↰⪸745⨎⫖↰⪸4029=⫖↰⪸4029","layer":2},{"info":"⫖↰⪸3483⋓⫖↰⪸2864=⫖↰⪸0","layer":3},{"info":"⨈⫕⫖↰⪸0=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸4029⩷∴⫖↰⪸-19=⫖↰⪸8064","layer":1},{"info":"⫓⪴⫖↰⪸8064=⫖↰⪸54857414","layer":0}]}
{"id":51,"expression_no_base_symbol":"(≦∁(⪲⇎$1152$))⪮%⊝($3474$⫌⩹⨱)⊴($6607$-$4115$)⪒($1064$↙$1417$)⋳⪒($1107$↙$1725$)⪄($6122$/$1365$/$3786$≭$5363$)","expression":"(≦∁(⪲⇎⫖↰⪸800))⪮%⊝(⫖↰⪸2016⫌⩹⨱)⊴(⫖↰⪸39A7-⫖↰⪸246B)⪒(⫖↰⪸748↙⫖↰⪸9A1)⋳⪒(⫖↰⪸783↙⫖↰⪸BB9)⪄(⫖↰⪸3662/⫖↰⪸959/⫖↰⪸2236≭⫖↰⪸312B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6143,"operation_count":14,"complexity_ratio":438.7857142857143,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1152,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3474,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6607,"base":12},"right_expr":{"type":"numeric_atoms","value":4115,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1064,"base":12},"right_expr":{"type":"numeric_atoms","value":1417,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1107,"base":12},"right_expr":{"type":"numeric_atoms","value":1725,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6122,"base":12},"right_expr":{"type":"numeric_atoms","value":1365,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3786,"base":12},"right_expr":{"type":"numeric_atoms","value":5363,"base":12}}}}},"used_operators":["f6k1SAg4EE","IWmyXbctLI","9ICcGScMcE","XPYlsWDdGa","Nsiff2A1zJ","EBcxylXtPf","rysDP5nf3Z","SUmda5xLS4","12rbrZMWeM","yyfyN0ffXY","XhwjNDsVaA","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"compute unary expreesion, input=1152, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2304","layer":3},{"info":"compute unary expreesion, input=2304, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2304","layer":2},{"info":"number node, value=3474","layer":4},{"info":"compute unary expreesion, input=3474, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8349","layer":3},{"info":"number node, value=6607","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=6607, right_input=4115, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2492","layer":3},{"info":"compute binary expreesion, left_input=8349, right_input=2492, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2304, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1064","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1417, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4251","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1725, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5175","layer":3},{"info":"compute binary expreesion, left_input=-4251, right_input=-5175, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3614","layer":2},{"info":"number node, value=6122","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=6122, right_input=1365, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=3786","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=5363, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3614, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≦∁(⪲⇎⫖↰⪸800))⪮%⊝(⫖↰⪸2016⫌⩹⨱)⊴(⫖↰⪸39A7-⫖↰⪸246B)⪒(⫖↰⪸748↙⫖↰⪸9A1)⋳⪒(⫖↰⪸783↙⫖↰⪸BB9)⪄(⫖↰⪸3662/⫖↰⪸959/⫖↰⪸2236≭⫖↰⪸312B)=NaN","reverse_text":"NaN=(≦∁(⪲⇎⫖↰⪸800))⪮%⊝(⫖↰⪸2016⫌⩹⨱)⊴(⫖↰⪸39A7-⫖↰⪸246B)⪒(⫖↰⪸748↙⫖↰⪸9A1)⋳⪒(⫖↰⪸783↙⫖↰⪸BB9)⪄(⫖↰⪸3662/⫖↰⪸959/⫖↰⪸2236≭⫖↰⪸312B)","cot":[{"info":"⪲⇎⫖↰⪸800=⫖↰⪸1400","layer":3},{"info":"≦∁⫖↰⪸1400=⫖↰⪸1400","layer":2},{"info":"⫖↰⪸2016⫌⩹⨱=⫖↰⪸49B9","layer":3},{"info":"⫖↰⪸39A7-⫖↰⪸246B=⫖↰⪸1538","layer":3},{"info":"⫖↰⪸49B9⊴⫖↰⪸1538=NaN","layer":2},{"info":"⫖↰⪸1400⪮%⊝NaN=NaN","layer":1},{"info":"⫖↰⪸748↙⫖↰⪸9A1=⫖↰⪸-2563","layer":3},{"info":"⫖↰⪸783↙⫖↰⪸BB9=⫖↰⪸-2BB3","layer":3},{"info":"⫖↰⪸-2563⋳⪒⫖↰⪸-2BB3=⫖↰⪸-2112","layer":2},{"info":"⫖↰⪸3662/⫖↰⪸959=⫖↰⪸4","layer":3},{"info":"⫖↰⪸2236≭⫖↰⪸312B=NaN","layer":3},{"info":"⫖↰⪸4/NaN=NaN","layer":2},{"info":"⫖↰⪸-2112⪄NaN=⫖↰⪸2377","layer":1},{"info":"NaN⪒⫖↰⪸2377=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"⨑⩽⪐((↥$1575$⪢$2095$)≣⋋)","expression":"⨑⩽⪐((↥⫖↰⪸AB3⪢⫖↰⪸1267)≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2107,"operation_count":4,"complexity_ratio":526.75,"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":1575,"base":12},"right_expr":{"type":"numeric_atoms","value":2095,"base":12}}}}},"used_operators":["AF7qkfDlqP","Tcnh7f0tEr","A8NUZmVepG","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=2095, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐((↥⫖↰⪸AB3⪢⫖↰⪸1267)≣⋋)=NaN","reverse_text":"NaN=⨑⩽⪐((↥⫖↰⪸AB3⪢⫖↰⪸1267)≣⋋)","cot":[{"info":"⫖↰⪸AB3⪢⫖↰⪸1267=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"(↥(⋗⩬⋾($7071$⨸⪁$1812$)))⪨≂$3068$⊴$2320$⨽$2253$∼$2423$%(⊄⩳↩($4139$≭$1021$))","expression":"(↥(⋗⩬⋾(⫖↰⪸4113⨸⪁⫖↰⪸1070)))⪨≂⫖↰⪸1938⊴⫖↰⪸1414⨽⫖↰⪸1379∼⫖↰⪸149B%(⊄⩳↩(⫖↰⪸248B≭⫖↰⪸711))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5185,"operation_count":10,"complexity_ratio":518.5,"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":7071,"base":12},"right_expr":{"type":"numeric_atoms","value":1812,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3068,"base":12},"right_expr":{"type":"numeric_atoms","value":2320,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2253,"base":12},"right_expr":{"type":"numeric_atoms","value":2423,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4139,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}}}}},"used_operators":["sdazOOVcIp","A8NUZmVepG","DpFCA1CohY","g55IO6H4Gj","k8jYdgA6NY","8HhzD0ZcuI","Nsiff2A1zJ","DyGG3AbaNP","8w2t5hMYqp","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7071","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=7071, right_input=1812, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17766","layer":3},{"info":"compute unary expreesion, input=17766, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-53298","layer":2},{"info":"compute unary expreesion, input=-53298, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":1},{"info":"number node, value=3068","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=2320, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2253","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=2423, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=4139","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=4139, right_input=1021, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', 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=48, 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":"(↥(⋗⩬⋾(⫖↰⪸4113⨸⪁⫖↰⪸1070)))⪨≂⫖↰⪸1938⊴⫖↰⪸1414⨽⫖↰⪸1379∼⫖↰⪸149B%(⊄⩳↩(⫖↰⪸248B≭⫖↰⪸711))=NaN","reverse_text":"NaN=(↥(⋗⩬⋾(⫖↰⪸4113⨸⪁⫖↰⪸1070)))⪨≂⫖↰⪸1938⊴⫖↰⪸1414⨽⫖↰⪸1379∼⫖↰⪸149B%(⊄⩳↩(⫖↰⪸248B≭⫖↰⪸711))","cot":[{"info":"⫖↰⪸4113⨸⪁⫖↰⪸1070=⫖↰⪸A346","layer":3},{"info":"⋗⩬⋾⫖↰⪸A346=⫖↰⪸-26A16","layer":2},{"info":"↥⫖↰⪸-26A16=⫖↰⪸40","layer":1},{"info":"⫖↰⪸1938⊴⫖↰⪸1414=NaN","layer":3},{"info":"⫖↰⪸1379∼⫖↰⪸149B=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⫖↰⪸248B≭⫖↰⪸711=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫖↰⪸40⪨≂NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"(∂($7212$≹⇙⪍$1240$≎⊠⪸($4940$⨎$5341$)))⋥≓≎((($3727$⩠)⋷$7425$↙$1439$)≋⫹)","expression":"(∂(⫖↰⪸4210≹⇙⪍⫖↰⪸874≎⊠⪸(⫖↰⪸2A38⨎⫖↰⪸3111)))⋥≓≎(((⫖↰⪸21A7⩠)⋷⫖↰⪸4369↙⫖↰⪸9BB)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1482,"operation_count":9,"complexity_ratio":164.66666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7212,"base":12},"right_expr":{"type":"numeric_atoms","value":1240,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4940,"base":12},"right_expr":{"type":"numeric_atoms","value":5341,"base":12}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3727,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7425,"base":12},"right_expr":{"type":"numeric_atoms","value":1439,"base":12}}}}},"used_operators":["Qy55tPpLXF","Uaa54Peajs","bJkvcejdHO","AHs5Up7iyr","rJVOvQCfKK","N41Kp7NANJ","23Mk6UjR3U","sJAwomhLZr","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7212","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=7212, right_input=1240, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4940","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=5341, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5341","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5341, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=3727","layer":4},{"info":"compute unary expreesion, input=3727, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=7425","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=7425, right_input=1439, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4317","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4317, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(∂(⫖↰⪸4210≹⇙⪍⫖↰⪸874≎⊠⪸(⫖↰⪸2A38⨎⫖↰⪸3111)))⋥≓≎(((⫖↰⪸21A7⩠)⋷⫖↰⪸4369↙⫖↰⪸9BB)≋⫹)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(∂(⫖↰⪸4210≹⇙⪍⫖↰⪸874≎⊠⪸(⫖↰⪸2A38⨎⫖↰⪸3111)))⋥≓≎(((⫖↰⪸21A7⩠)⋷⫖↰⪸4369↙⫖↰⪸9BB)≋⫹)","cot":[{"info":"⫖↰⪸4210≹⇙⪍⫖↰⪸874=NaN","layer":3},{"info":"⫖↰⪸2A38⨎⫖↰⪸3111=⫖↰⪸3111","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸3111=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸21A7⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4369↙⫖↰⪸9BB=⫖↰⪸-25B9","layer":3},{"info":"⫖↰⪸0⋷⫖↰⪸-25B9=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0≋⫹=⫖↰⪸0","layer":1},{"info":"NaN⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":0}]}
{"id":55,"expression_no_base_symbol":"∥⊫($2058$↬$1779$)⪛($1063$⪛$6736$)⋝⋈⪟((↯⪼$1205$)⨳⩥⨓$2291$⪢$8834$)","expression":"∥⊫(⫖↰⪸1236↬⫖↰⪸1043)⪛(⫖↰⪸747⪛⫖↰⪸3A94)⋝⋈⪟((↯⪼⫖↰⪸845)⨳⩥⨓⫖↰⪸13AB⪢⫖↰⪸5142)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8883,"operation_count":8,"complexity_ratio":1110.375,"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":2058,"base":12},"right_expr":{"type":"numeric_atoms","value":1779,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":6736,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1205,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2291,"base":12},"right_expr":{"type":"numeric_atoms","value":8834,"base":12}}}}},"used_operators":["P8v4zCKN1o","2DDjHMKMc0","uFcxV4UQCh","B5M0gjZbta","nCS4ZIUYfx","8jW3W4yZS5","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=1779, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=6736, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1063","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1063, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, 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=2291","layer":4},{"info":"number node, value=8834","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=8834, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫(⫖↰⪸1236↬⫖↰⪸1043)⪛(⫖↰⪸747⪛⫖↰⪸3A94)⋝⋈⪟((↯⪼⫖↰⪸845)⨳⩥⨓⫖↰⪸13AB⪢⫖↰⪸5142)=NaN","reverse_text":"NaN=∥⊫(⫖↰⪸1236↬⫖↰⪸1043)⪛(⫖↰⪸747⪛⫖↰⪸3A94)⋝⋈⪟((↯⪼⫖↰⪸845)⨳⩥⨓⫖↰⪸13AB⪢⫖↰⪸5142)","cot":[{"info":"⫖↰⪸1236↬⫖↰⪸1043=NaN","layer":3},{"info":"⫖↰⪸747⪛⫖↰⪸3A94=⫖↰⪸747","layer":3},{"info":"NaN⪛⫖↰⪸747=NaN","layer":2},{"info":"↯⪼⫖↰⪸845=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸13AB⪢⫖↰⪸5142=NaN","layer":3},{"info":"⫖↰⪸-19⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(⨞⊢(↔($3164$⨽$3566$)))⫡⨏($2617$⨰$1648$⇼⇔∾$2546$⨳⩥⨓$1717$)⩷∴(⨈⫕($2960$*$2472$))","expression":"(⨞⊢(↔(⫖↰⪸19B8⨽⫖↰⪸2092)))⫡⨏(⫖↰⪸1621⨰⫖↰⪸B54⇼⇔∾⫖↰⪸1582⨳⩥⨓⫖↰⪸BB1)⩷∴(⨈⫕(⫖↰⪸1868*⫖↰⪸1520))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6079,"operation_count":10,"complexity_ratio":607.9,"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":3164,"base":12},"right_expr":{"type":"numeric_atoms","value":3566,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2617,"base":12},"right_expr":{"type":"numeric_atoms","value":1648,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2546,"base":12},"right_expr":{"type":"numeric_atoms","value":1717,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2960,"base":12},"right_expr":{"type":"numeric_atoms","value":2472,"base":12}}}}},"used_operators":["QMFrweE19q","xUOZtlo3hN","ruOEQAzv1W","8HhzD0ZcuI","9FxExcQeMw","tifHPKVTfV","eewbuw0ToL","nCS4ZIUYfx","megm06wKyl","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"⫖↰⪸-3A05","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3164","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=3566, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30042072","layer":3},{"info":"compute unary expreesion, input=-30042072, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-40","layer":1},{"info":"number node, value=2617","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1648, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=979","layer":3},{"info":"number node, value=2546","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=1717, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-829","layer":3},{"info":"compute binary expreesion, left_input=979, right_input=-829, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1808","layer":2},{"info":"number node, value=2960","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=2472, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7317120","layer":3},{"info":"compute unary expreesion, input=7317120, 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=-1808, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3606","layer":1},{"info":"compute binary expreesion, left_input=-40, right_input=-3606, 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=-6629","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢(↔(⫖↰⪸19B8⨽⫖↰⪸2092)))⫡⨏(⫖↰⪸1621⨰⫖↰⪸B54⇼⇔∾⫖↰⪸1582⨳⩥⨓⫖↰⪸BB1)⩷∴(⨈⫕(⫖↰⪸1868*⫖↰⪸1520))=⫖↰⪸-3A05","reverse_text":"⫖↰⪸-3A05=(⨞⊢(↔(⫖↰⪸19B8⨽⫖↰⪸2092)))⫡⨏(⫖↰⪸1621⨰⫖↰⪸B54⇼⇔∾⫖↰⪸1582⨳⩥⨓⫖↰⪸BB1)⩷∴(⨈⫕(⫖↰⪸1868*⫖↰⪸1520))","cot":[{"info":"⫖↰⪸19B8⨽⫖↰⪸2092=⫖↰⪸-A089560","layer":3},{"info":"↔⫖↰⪸-A089560=⫖↰⪸-B2","layer":2},{"info":"⨞⊢⫖↰⪸-B2=⫖↰⪸-34","layer":1},{"info":"⫖↰⪸1621⨰⫖↰⪸B54=⫖↰⪸697","layer":3},{"info":"⫖↰⪸1582⨳⩥⨓⫖↰⪸BB1=⫖↰⪸-591","layer":3},{"info":"⫖↰⪸697⇼⇔∾⫖↰⪸-591=⫖↰⪸-1068","layer":2},{"info":"⫖↰⪸1868*⫖↰⪸1520=⫖↰⪸254A540","layer":3},{"info":"⨈⫕⫖↰⪸254A540=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸-1068⩷∴⫖↰⪸-19=⫖↰⪸-2106","layer":1},{"info":"⫖↰⪸-34⫡⨏⫖↰⪸-2106=⫖↰⪸-3A05","layer":0}]}
{"id":57,"expression_no_base_symbol":"($3684$⨳⩥⨓$5350$/($4359$⪨≂$6433$))⪛($3725$∼$1129$⪘⫢(⪝⪂⫅$1919$))+($1682$≧⫂∧$4634$)↬$4000$⨟⋌⩍$6050$↙(↔($3057$⪒$5159$))","expression":"(⫖↰⪸2170⨳⩥⨓⫖↰⪸311A/(⫖↰⪸2633⪨≂⫖↰⪸3881))⪛(⫖↰⪸21A5∼⫖↰⪸7A1⪘⫢(⪝⪂⫅⫖↰⪸113B))+(⫖↰⪸B82≧⫂∧⫖↰⪸2822)↬⫖↰⪸2394⨟⋌⩍⫖↰⪸3602↙(↔(⫖↰⪸1929⪒⫖↰⪸2B9B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":277,"operation_count":14,"complexity_ratio":19.785714285714285,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3684,"base":12},"right_expr":{"type":"numeric_atoms","value":5350,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4359,"base":12},"right_expr":{"type":"numeric_atoms","value":6433,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3725,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1919,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1682,"base":12},"right_expr":{"type":"numeric_atoms","value":4634,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4000,"base":12},"right_expr":{"type":"numeric_atoms","value":6050,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3057,"base":12},"right_expr":{"type":"numeric_atoms","value":5159,"base":12}}}}},"used_operators":["W4YGzv6Whe","uFcxV4UQCh","XhwjNDsVaA","nCS4ZIUYfx","sdazOOVcIp","oacrs7FA3X","DyGG3AbaNP","XTarYq4gQB","yyfyN0ffXY","B5M0gjZbta","Ph9nP6C5qx","rGHVDoGpnC","ruOEQAzv1W","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3684","layer":4},{"info":"number node, value=5350","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=5350, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1666","layer":3},{"info":"number node, value=4359","layer":4},{"info":"number node, value=6433","layer":4},{"info":"compute binary expreesion, left_input=4359, right_input=6433, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4046","layer":3},{"info":"compute binary expreesion, left_input=1666, right_input=-4046, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=3725","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=1129, 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=1919","layer":4},{"info":"compute unary expreesion, input=1919, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-282093","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-282093, 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=-1, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1682","layer":4},{"info":"number node, value=4634","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=4634, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4161","layer":3},{"info":"number node, value=4000","layer":4},{"info":"number node, value=6050","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=6050, 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=4161, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3057","layer":4},{"info":"number node, value=5159","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=5159, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8216","layer":3},{"info":"compute unary expreesion, input=-8216, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2170⨳⩥⨓⫖↰⪸311A/(⫖↰⪸2633⪨≂⫖↰⪸3881))⪛(⫖↰⪸21A5∼⫖↰⪸7A1⪘⫢(⪝⪂⫅⫖↰⪸113B))+(⫖↰⪸B82≧⫂∧⫖↰⪸2822)↬⫖↰⪸2394⨟⋌⩍⫖↰⪸3602↙(↔(⫖↰⪸1929⪒⫖↰⪸2B9B))=NaN","reverse_text":"NaN=(⫖↰⪸2170⨳⩥⨓⫖↰⪸311A/(⫖↰⪸2633⪨≂⫖↰⪸3881))⪛(⫖↰⪸21A5∼⫖↰⪸7A1⪘⫢(⪝⪂⫅⫖↰⪸113B))+(⫖↰⪸B82≧⫂∧⫖↰⪸2822)↬⫖↰⪸2394⨟⋌⩍⫖↰⪸3602↙(↔(⫖↰⪸1929⪒⫖↰⪸2B9B))","cot":[{"info":"⫖↰⪸2170⨳⩥⨓⫖↰⪸311A=⫖↰⪸B6A","layer":3},{"info":"⫖↰⪸2633⪨≂⫖↰⪸3881=⫖↰⪸-2412","layer":3},{"info":"⫖↰⪸B6A/⫖↰⪸-2412=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸21A5∼⫖↰⪸7A1=NaN","layer":3},{"info":"⪝⪂⫅⫖↰⪸113B=⫖↰⪸-1172B9","layer":3},{"info":"NaN⪘⫢⫖↰⪸-1172B9=NaN","layer":2},{"info":"⫖↰⪸-1⪛NaN=NaN","layer":1},{"info":"⫖↰⪸B82≧⫂∧⫖↰⪸2822=⫖↰⪸24A9","layer":3},{"info":"⫖↰⪸2394⨟⋌⩍⫖↰⪸3602=NaN","layer":3},{"info":"⫖↰⪸24A9↬NaN=NaN","layer":2},{"info":"⫖↰⪸1929⪒⫖↰⪸2B9B=⫖↰⪸-4908","layer":3},{"info":"↔⫖↰⪸-4908=⫖↰⪸-B2","layer":2},{"info":"NaN↙⫖↰⪸-B2=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(∂($5080$⨳⩥⨓$1028$⋷(⇁⨣⪵$3716$)))⫥∨⫟(($1458$⫸⊐$6144$)⋓($4885$≣⋋))⪢($6958$⨽$3845$-$4796$⋳⪒$1257$)","expression":"(∂(⫖↰⪸2B34⨳⩥⨓⫖↰⪸718⋷(⇁⨣⪵⫖↰⪸2198)))⫥∨⫟((⫖↰⪸A16⫸⊐⫖↰⪸3680)⋓(⫖↰⪸29B1≣⋋))⪢(⫖↰⪸403A⨽⫖↰⪸2285-⫖↰⪸2938⋳⪒⫖↰⪸889)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7688,"operation_count":12,"complexity_ratio":640.6666666666666,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5080,"base":12},"right_expr":{"type":"numeric_atoms","value":1028,"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":1458,"base":12},"right_expr":{"type":"numeric_atoms","value":6144,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4885,"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":3845,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4796,"base":12},"right_expr":{"type":"numeric_atoms","value":1257,"base":12}}}}},"used_operators":["KYD54nUTWz","Uaa54Peajs","23Mk6UjR3U","nCS4ZIUYfx","inkyxCbjAn","dWAJyo7jo9","T2fj7uvVaJ","mqXw5SEYmG","Tcnh7f0tEr","rysDP5nf3Z","8HhzD0ZcuI","12rbrZMWeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5080","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=5080, right_input=1028, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4052","layer":3},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4052, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8104","layer":2},{"info":"compute unary expreesion, input=8104, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=1458","layer":4},{"info":"number node, value=6144","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=6144, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24451","layer":3},{"info":"number node, value=4885","layer":4},{"info":"compute unary expreesion, input=4885, 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=24451, 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=6958","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=6958, right_input=3845, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-145251513","layer":3},{"info":"number node, value=4796","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1257, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8048","layer":3},{"info":"compute binary expreesion, left_input=-145251513, right_input=8048, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-145259561","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-145259561, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂(⫖↰⪸2B34⨳⩥⨓⫖↰⪸718⋷(⇁⨣⪵⫖↰⪸2198)))⫥∨⫟((⫖↰⪸A16⫸⊐⫖↰⪸3680)⋓(⫖↰⪸29B1≣⋋))⪢(⫖↰⪸403A⨽⫖↰⪸2285-⫖↰⪸2938⋳⪒⫖↰⪸889)=NaN","reverse_text":"NaN=(∂(⫖↰⪸2B34⨳⩥⨓⫖↰⪸718⋷(⇁⨣⪵⫖↰⪸2198)))⫥∨⫟((⫖↰⪸A16⫸⊐⫖↰⪸3680)⋓(⫖↰⪸29B1≣⋋))⪢(⫖↰⪸403A⨽⫖↰⪸2285-⫖↰⪸2938⋳⪒⫖↰⪸889)","cot":[{"info":"⫖↰⪸2B34⨳⩥⨓⫖↰⪸718=⫖↰⪸-2418","layer":3},{"info":"⇁⨣⪵⫖↰⪸2198=NaN","layer":3},{"info":"⫖↰⪸-2418⋷NaN=⫖↰⪸4834","layer":2},{"info":"∂⫖↰⪸4834=NaN","layer":1},{"info":"⫖↰⪸A16⫸⊐⫖↰⪸3680=⫖↰⪸12197","layer":3},{"info":"⫖↰⪸29B1≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸12197⋓⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸403A⨽⫖↰⪸2285=⫖↰⪸-40789709","layer":3},{"info":"⫖↰⪸2938⋳⪒⫖↰⪸889=⫖↰⪸47A8","layer":3},{"info":"⫖↰⪸-40789709-⫖↰⪸47A8=⫖↰⪸-407922B5","layer":2},{"info":"⫖↰⪸0⪢⫖↰⪸-407922B5=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"($2216$⇋≉)∑⇟⊟($4118$∲⫓$4608$)⨐⩸⫘(↣≠⋷(↥$2876$))⫡⨏((⨰⫟⨤$6640$⪛$4892$)⩤)","expression":"(⫖↰⪸1348⇋≉)∑⇟⊟(⫖↰⪸2472∲⫓⫖↰⪸2800)⨐⩸⫘(↣≠⋷(↥⫖↰⪸17B8))⫡⨏((⨰⫟⨤⫖↰⪸3A14⪛⫖↰⪸29B8)⩤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6629,"operation_count":10,"complexity_ratio":662.9,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2216,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4118,"base":12},"right_expr":{"type":"numeric_atoms","value":4608,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2876,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6640,"base":12},"right_expr":{"type":"numeric_atoms","value":4892,"base":12}}}}},"used_operators":["QMFrweE19q","fu6greOZ01","U7g4x0WXJJ","XIabStNQrY","i8ToyICDmI","Asc51vEJeQ","A8NUZmVepG","Z2TMIBDE3Q","Tw270M8GLb","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4334","layer":3},{"info":"number node, value=4118","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=4608, 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=4334, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=4334","layer":2},{"info":"number node, value=2876","layer":4},{"info":"compute unary expreesion, input=2876, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4334, 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=6640","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=6640, right_input=4892, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1748","layer":3},{"info":"compute unary expreesion, input=1748, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1348⇋≉)∑⇟⊟(⫖↰⪸2472∲⫓⫖↰⪸2800)⨐⩸⫘(↣≠⋷(↥⫖↰⪸17B8))⫡⨏((⨰⫟⨤⫖↰⪸3A14⪛⫖↰⪸29B8)⩤)=NaN","reverse_text":"NaN=(⫖↰⪸1348⇋≉)∑⇟⊟(⫖↰⪸2472∲⫓⫖↰⪸2800)⨐⩸⫘(↣≠⋷(↥⫖↰⪸17B8))⫡⨏((⨰⫟⨤⫖↰⪸3A14⪛⫖↰⪸29B8)⩤)","cot":[{"info":"⫖↰⪸1348⇋≉=⫖↰⪸2612","layer":3},{"info":"⫖↰⪸2472∲⫓⫖↰⪸2800=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2612∑⇟⊟⫖↰⪸0=⫖↰⪸2612","layer":2},{"info":"↥⫖↰⪸17B8=⫖↰⪸18","layer":3},{"info":"↣≠⋷⫖↰⪸18=NaN","layer":2},{"info":"⫖↰⪸2612⨐⩸⫘NaN=NaN","layer":1},{"info":"⫖↰⪸3A14⪛⫖↰⪸29B8=⫖↰⪸1018","layer":3},{"info":"⨰⫟⨤⫖↰⪸1018=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"((↯⪼$3959$)⪐)⨪↰⇹(($3379$⊠≄⫣)⫡⨏(⨑⩽⪐$3594$))⫡⨏((($3591$⨽$5725$)⩤)≋⫹)","expression":"((↯⪼⫖↰⪸235B)⪐)⨪↰⇹((⫖↰⪸1B57⊠≄⫣)⫡⨏(⨑⩽⪐⫖↰⪸20B6))⫡⨏(((⫖↰⪸20B3⨽⫖↰⪸3391)⩤)≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3700,"operation_count":10,"complexity_ratio":370.0,"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":3959,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3379,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3594,"base":12}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3591,"base":12},"right_expr":{"type":"numeric_atoms","value":5725,"base":12}}}}},"used_operators":["QMFrweE19q","tmPS8pqC7x","eH2TOUuTDT","8jW3W4yZS5","DIvbN7qnHd","AF7qkfDlqP","N41Kp7NANJ","Z2TMIBDE3Q","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-43A16B43","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3959","layer":4},{"info":"compute unary expreesion, input=3959, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-42","layer":2},{"info":"number node, value=3379","layer":4},{"info":"compute unary expreesion, input=3379, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3594","layer":4},{"info":"compute unary expreesion, input=3594, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3321","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3321, 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=-5859","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=-5859, 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=-42","layer":1},{"info":"number node, value=3591","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=5725, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38701704","layer":3},{"info":"compute unary expreesion, input=-38701704, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=38701704","layer":2},{"info":"compute unary expreesion, input=38701704, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-77403408","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=-77403408, 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=-154806243","layer":0}],"base":12,"result_base":12,"text":"((↯⪼⫖↰⪸235B)⪐)⨪↰⇹((⫖↰⪸1B57⊠≄⫣)⫡⨏(⨑⩽⪐⫖↰⪸20B6))⫡⨏(((⫖↰⪸20B3⨽⫖↰⪸3391)⩤)≋⫹)=⫖↰⪸-43A16B43","reverse_text":"⫖↰⪸-43A16B43=((↯⪼⫖↰⪸235B)⪐)⨪↰⇹((⫖↰⪸1B57⊠≄⫣)⫡⨏(⨑⩽⪐⫖↰⪸20B6))⫡⨏(((⫖↰⪸20B3⨽⫖↰⪸3391)⩤)≋⫹)","cot":[{"info":"↯⪼⫖↰⪸235B=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19⪐=⫖↰⪸-36","layer":2},{"info":"⫖↰⪸1B57⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⨑⩽⪐⫖↰⪸20B6=⫖↰⪸-1B09","layer":3},{"info":"⫖↰⪸0⫡⨏⫖↰⪸-1B09=⫖↰⪸-3483","layer":2},{"info":"⫖↰⪸-36⨪↰⇹⫖↰⪸-3483=⫖↰⪸-36","layer":1},{"info":"⫖↰⪸20B3⨽⫖↰⪸3391=⫖↰⪸-10B649A0","layer":3},{"info":"⫖↰⪸-10B649A0⩤=⫖↰⪸10B649A0","layer":2},{"info":"⫖↰⪸10B649A0≋⫹=⫖↰⪸-21B09780","layer":1},{"info":"⫖↰⪸-36⫡⨏⫖↰⪸-21B09780=⫖↰⪸-43A16B43","layer":0}]}
{"id":61,"expression_no_base_symbol":"($2880$⋥≓≎$2938$↙$2792$⨐⩸⫘$2402$≋⫹)⋳⪒((($1121$⊪)-($1223$↛⩡⫤))⊭↱(≤/$2799$⋓$2230$))","expression":"(⫖↰⪸1800⋥≓≎⫖↰⪸184A↙⫖↰⪸1748⨐⩸⫘⫖↰⪸1482≋⫹)⋳⪒(((⫖↰⪸795⊪)-(⫖↰⪸85B↛⩡⫤))⊭↱(≤/⫖↰⪸1753⋓⫖↰⪸135A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3876,"operation_count":11,"complexity_ratio":352.3636363636364,"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":2880,"base":12},"right_expr":{"type":"numeric_atoms","value":2938,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2792,"base":12},"right_expr":{"type":"numeric_atoms","value":2402,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1121,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1223,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2799,"base":12},"right_expr":{"type":"numeric_atoms","value":2230,"base":12}}}}},"used_operators":["12rbrZMWeM","N41Kp7NANJ","yyfyN0ffXY","Qy55tPpLXF","fu6greOZ01","COABgblf1C","rysDP5nf3Z","zVYPLywUTj","FU0Cs4j7VP","eLAdDNolq6","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","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=2880","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=2938, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3029","layer":3},{"info":"number node, value=2792","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2402, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3029, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, 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=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-180762","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-180762, op_id = rysDP5nf3Z binary_op_definition= 'None', output=180762","layer":2},{"info":"number node, value=2799","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=2799, right_input=2230, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=180762, right_input=484, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-360551","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-360551, 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":"(⫖↰⪸1800⋥≓≎⫖↰⪸184A↙⫖↰⪸1748⨐⩸⫘⫖↰⪸1482≋⫹)⋳⪒(((⫖↰⪸795⊪)-(⫖↰⪸85B↛⩡⫤))⊭↱(≤/⫖↰⪸1753⋓⫖↰⪸135A))=NaN","reverse_text":"NaN=(⫖↰⪸1800⋥≓≎⫖↰⪸184A↙⫖↰⪸1748⨐⩸⫘⫖↰⪸1482≋⫹)⋳⪒(((⫖↰⪸795⊪)-(⫖↰⪸85B↛⩡⫤))⊭↱(≤/⫖↰⪸1753⋓⫖↰⪸135A))","cot":[{"info":"⫖↰⪸1800⋥≓≎⫖↰⪸184A=⫖↰⪸1905","layer":3},{"info":"⫖↰⪸1748⨐⩸⫘⫖↰⪸1482=NaN","layer":3},{"info":"⫖↰⪸1905↙NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⫖↰⪸795⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸85B↛⩡⫤=⫖↰⪸-88736","layer":3},{"info":"⫖↰⪸0-⫖↰⪸-88736=⫖↰⪸88736","layer":2},{"info":"⫖↰⪸1753⋓⫖↰⪸135A=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":2},{"info":"⫖↰⪸88736⊭↱⫖↰⪸344=⫖↰⪸-15479B","layer":1},{"info":"NaN⋳⪒⫖↰⪸-15479B=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"(≦∁$1445$⨟⋌⩍$6121$⨸⪁(⨞⊢$7833$))⫡⨏($2229$⪘⫢$2262$⨰($1701$⨽$2707$)+$1153$⋓$5372$≧⫂∧($1544$⪒$6897$))","expression":"(≦∁⫖↰⪸A05⨟⋌⩍⫖↰⪸3661⨸⪁(⨞⊢⫖↰⪸4649))⫡⨏(⫖↰⪸1359⪘⫢⫖↰⪸1386⨰(⫖↰⪸B99⨽⫖↰⪸1697)+⫖↰⪸801⋓⫖↰⪸3138≧⫂∧(⫖↰⪸A88⪒⫖↰⪸3BA9))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1764,"operation_count":12,"complexity_ratio":147.0,"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":1445,"base":12},"right_expr":{"type":"numeric_atoms","value":6121,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7833,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2229,"base":12},"right_expr":{"type":"numeric_atoms","value":2262,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1701,"base":12},"right_expr":{"type":"numeric_atoms","value":2707,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1153,"base":12},"right_expr":{"type":"numeric_atoms","value":5372,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1544,"base":12},"right_expr":{"type":"numeric_atoms","value":6897,"base":12}}}}},"used_operators":["QMFrweE19q","9ICcGScMcE","g55IO6H4Gj","rGHVDoGpnC","xUOZtlo3hN","W4YGzv6Whe","eewbuw0ToL","oacrs7FA3X","8HhzD0ZcuI","Ph9nP6C5qx","T2fj7uvVaJ","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"number node, value=6121","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=6121, 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=7833","layer":4},{"info":"compute unary expreesion, input=7833, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8007","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8007, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"number node, value=2229","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=2262, 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":"number node, value=1701","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=2707, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8687010","layer":3},{"info":"compute binary expreesion, left_input=4334, right_input=-8687010, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8691354","layer":2},{"info":"number node, value=1153","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=5372, 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=1544","layer":4},{"info":"number node, value=6897","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=6897, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8441","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8441, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8441","layer":2},{"info":"compute binary expreesion, left_input=8691354, right_input=8441, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8699795","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8699795, 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":"(≦∁⫖↰⪸A05⨟⋌⩍⫖↰⪸3661⨸⪁(⨞⊢⫖↰⪸4649))⫡⨏(⫖↰⪸1359⪘⫢⫖↰⪸1386⨰(⫖↰⪸B99⨽⫖↰⪸1697)+⫖↰⪸801⋓⫖↰⪸3138≧⫂∧(⫖↰⪸A88⪒⫖↰⪸3BA9))=NaN","reverse_text":"NaN=(≦∁⫖↰⪸A05⨟⋌⩍⫖↰⪸3661⨸⪁(⨞⊢⫖↰⪸4649))⫡⨏(⫖↰⪸1359⪘⫢⫖↰⪸1386⨰(⫖↰⪸B99⨽⫖↰⪸1697)+⫖↰⪸801⋓⫖↰⪸3138≧⫂∧(⫖↰⪸A88⪒⫖↰⪸3BA9))","cot":[{"info":"⫖↰⪸A05⨟⋌⩍⫖↰⪸3661=NaN","layer":3},{"info":"⨞⊢⫖↰⪸4649=⫖↰⪸-4773","layer":3},{"info":"NaN⨸⪁⫖↰⪸-4773=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⫖↰⪸1359⪘⫢⫖↰⪸1386=⫖↰⪸2612","layer":3},{"info":"⫖↰⪸B99⨽⫖↰⪸1697=⫖↰⪸-2AAB256","layer":3},{"info":"⫖↰⪸2612⨰⫖↰⪸-2AAB256=⫖↰⪸2AB1876","layer":2},{"info":"⫖↰⪸801⋓⫖↰⪸3138=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A88⪒⫖↰⪸3BA9=⫖↰⪸-4A75","layer":3},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸-4A75=⫖↰⪸4A75","layer":2},{"info":"⫖↰⪸2AB1876+⫖↰⪸4A75=⫖↰⪸2AB672B","layer":1},{"info":"NaN⫡⨏⫖↰⪸2AB672B=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(($6572$⩨$3016$)∑⇟⊟($2315$⫸⊐$1082$)⇼⇔∾($7243$⪄$4210$)↙($2768$%$5597$))⊪","expression":"((⫖↰⪸3978⩨⫖↰⪸18B4)∑⇟⊟(⫖↰⪸140B⫸⊐⫖↰⪸762)⇼⇔∾(⫖↰⪸4237⪄⫖↰⪸252A)↙(⫖↰⪸1728%⫖↰⪸32A5))⊪","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":141,"operation_count":8,"complexity_ratio":17.625,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6572,"base":12},"right_expr":{"type":"numeric_atoms","value":3016,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2315,"base":12},"right_expr":{"type":"numeric_atoms","value":1082,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7243,"base":12},"right_expr":{"type":"numeric_atoms","value":4210,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2768,"base":12},"right_expr":{"type":"numeric_atoms","value":5597,"base":12}}}}},"used_operators":["zVYPLywUTj","tifHPKVTfV","U7g4x0WXJJ","2DlMacCsIx","mqXw5SEYmG","yyfyN0ffXY","SUmda5xLS4","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6572","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=6572, right_input=3016, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=1082, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4203","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4203, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7243","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=7243, right_input=4210, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1084893","layer":3},{"info":"number node, value=2768","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=5597, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2768","layer":3},{"info":"compute binary expreesion, left_input=-1084893, right_input=2768, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1084893","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1084893, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3978⩨⫖↰⪸18B4)∑⇟⊟(⫖↰⪸140B⫸⊐⫖↰⪸762)⇼⇔∾(⫖↰⪸4237⪄⫖↰⪸252A)↙(⫖↰⪸1728%⫖↰⪸32A5))⊪=NaN","reverse_text":"NaN=((⫖↰⪸3978⩨⫖↰⪸18B4)∑⇟⊟(⫖↰⪸140B⫸⊐⫖↰⪸762)⇼⇔∾(⫖↰⪸4237⪄⫖↰⪸252A)↙(⫖↰⪸1728%⫖↰⪸32A5))⊪","cot":[{"info":"⫖↰⪸3978⩨⫖↰⪸18B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸140B⫸⊐⫖↰⪸762=⫖↰⪸2523","layer":3},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸2523=NaN","layer":2},{"info":"⫖↰⪸4237⪄⫖↰⪸252A=⫖↰⪸-4439B9","layer":3},{"info":"⫖↰⪸1728%⫖↰⪸32A5=⫖↰⪸1728","layer":3},{"info":"⫖↰⪸-4439B9↙⫖↰⪸1728=⫖↰⪸-4439B9","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸-4439B9=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"(↔($3556$⊭↱$6619$⊭↱$4648$⋝⋈⪟$1444$))⪛((↩(⊥$1869$))≧⫂∧(⪲⇎(⩦⩻⨪$1016$)))","expression":"(↔(⫖↰⪸2084⊭↱⫖↰⪸39B7⊭↱⫖↰⪸2834⋝⋈⪟⫖↰⪸A04))⪛((↩(⊥⫖↰⪸10B9))≧⫂∧(⪲⇎(⩦⩻⨪⫖↰⪸708)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":67,"operation_count":10,"complexity_ratio":6.7,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3556,"base":12},"right_expr":{"type":"numeric_atoms","value":6619,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4648,"base":12},"right_expr":{"type":"numeric_atoms","value":1444,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1869,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1016,"base":12}}}}},"used_operators":["uFcxV4UQCh","ruOEQAzv1W","COABgblf1C","2DDjHMKMc0","Ph9nP6C5qx","jLgFTUHLKL","Q3PJZHRvZv","XPYlsWDdGa","2td37pGCOC"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸9A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3556","layer":4},{"info":"number node, value=6619","layer":4},{"info":"compute binary expreesion, left_input=3556, right_input=6619, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6131","layer":3},{"info":"number node, value=4648","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=1444, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4648","layer":3},{"info":"compute binary expreesion, left_input=6131, right_input=4648, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2961","layer":2},{"info":"compute unary expreesion, input=-2961, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1016","layer":3},{"info":"compute unary expreesion, input=1016, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2032, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1559","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=1559, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1425","layer":0}],"base":12,"result_base":12,"text":"(↔(⫖↰⪸2084⊭↱⫖↰⪸39B7⊭↱⫖↰⪸2834⋝⋈⪟⫖↰⪸A04))⪛((↩(⊥⫖↰⪸10B9))≧⫂∧(⪲⇎(⩦⩻⨪⫖↰⪸708)))=⫖↰⪸9A9","reverse_text":"⫖↰⪸9A9=(↔(⫖↰⪸2084⊭↱⫖↰⪸39B7⊭↱⫖↰⪸2834⋝⋈⪟⫖↰⪸A04))⪛((↩(⊥⫖↰⪸10B9))≧⫂∧(⪲⇎(⩦⩻⨪⫖↰⪸708)))","cot":[{"info":"⫖↰⪸2084⊭↱⫖↰⪸39B7=⫖↰⪸366B","layer":3},{"info":"⫖↰⪸2834⋝⋈⪟⫖↰⪸A04=⫖↰⪸2834","layer":3},{"info":"⫖↰⪸366B⊭↱⫖↰⪸2834=⫖↰⪸-1869","layer":2},{"info":"↔⫖↰⪸-1869=⫖↰⪸-B2","layer":1},{"info":"⊥⫖↰⪸10B9=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸708=⫖↰⪸708","layer":3},{"info":"⪲⇎⫖↰⪸708=⫖↰⪸1214","layer":2},{"info":"NaN≧⫂∧⫖↰⪸1214=⫖↰⪸A9B","layer":1},{"info":"⫖↰⪸-B2⪛⫖↰⪸A9B=⫖↰⪸9A9","layer":0}]}
{"id":65,"expression_no_base_symbol":"($1103$⨽$1127$⫸⊐$1135$⪛$9538$)⊴(∂($1331$⋷$1452$))-(↽≂((≉$3592$)+$1573$⨟⋌⩍$4871$))","expression":"(⫖↰⪸77B⨽⫖↰⪸79B⫸⊐⫖↰⪸7A7⪛⫖↰⪸562A)⊴(∂(⫖↰⪸92B⋷⫖↰⪸A10))-(↽≂((≉⫖↰⪸20B4)+⫖↰⪸AB1⨟⋌⩍⫖↰⪸299B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1139,"operation_count":11,"complexity_ratio":103.54545454545455,"tree":{"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":1127,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1135,"base":12},"right_expr":{"type":"numeric_atoms","value":9538,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3592,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1573,"base":12},"right_expr":{"type":"numeric_atoms","value":4871,"base":12}}}}},"used_operators":["rysDP5nf3Z","Nsiff2A1zJ","mqXw5SEYmG","8HhzD0ZcuI","uFcxV4UQCh","Uaa54Peajs","23Mk6UjR3U","u6S6b8DprG","W4YGzv6Whe","e1ybzncUwg","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1127, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3651894","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=9538","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=9538, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1135","layer":3},{"info":"compute binary expreesion, left_input=-3651894, right_input=1135, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1452, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1573","layer":3},{"info":"compute unary expreesion, input=1573, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3592","layer":4},{"info":"compute unary expreesion, input=3592, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4123","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=4871, 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=4123, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸77B⨽⫖↰⪸79B⫸⊐⫖↰⪸7A7⪛⫖↰⪸562A)⊴(∂(⫖↰⪸92B⋷⫖↰⪸A10))-(↽≂((≉⫖↰⪸20B4)+⫖↰⪸AB1⨟⋌⩍⫖↰⪸299B))=NaN","reverse_text":"NaN=(⫖↰⪸77B⨽⫖↰⪸79B⫸⊐⫖↰⪸7A7⪛⫖↰⪸562A)⊴(∂(⫖↰⪸92B⋷⫖↰⪸A10))-(↽≂((≉⫖↰⪸20B4)+⫖↰⪸AB1⨟⋌⩍⫖↰⪸299B))","cot":[{"info":"⫖↰⪸77B⨽⫖↰⪸79B=⫖↰⪸-1281446","layer":3},{"info":"⫖↰⪸7A7⪛⫖↰⪸562A=⫖↰⪸7A7","layer":3},{"info":"⫖↰⪸-1281446⫸⊐⫖↰⪸7A7=⫖↰⪸688","layer":2},{"info":"⫖↰⪸92B⋷⫖↰⪸A10=⫖↰⪸AB1","layer":3},{"info":"∂⫖↰⪸AB1=NaN","layer":2},{"info":"⫖↰⪸688⊴NaN=NaN","layer":1},{"info":"≉⫖↰⪸20B4=⫖↰⪸2477","layer":3},{"info":"⫖↰⪸AB1⨟⋌⩍⫖↰⪸299B=NaN","layer":3},{"info":"⫖↰⪸2477+NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"(↩(⨑⩽⪐(⨰⫟⨤$4141$)))↛⩡⫤","expression":"(↩(⨑⩽⪐(⨰⫟⨤⫖↰⪸2491)))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15813,"operation_count":4,"complexity_ratio":3953.25,"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":4141,"base":12}}}}},"used_operators":["FU0Cs4j7VP","jLgFTUHLKL","AF7qkfDlqP","Tw270M8GLb"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4141","layer":4},{"info":"compute unary expreesion, input=4141, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"(↩(⨑⩽⪐(⨰⫟⨤⫖↰⪸2491)))↛⩡⫤=NaN","reverse_text":"NaN=(↩(⨑⩽⪐(⨰⫟⨤⫖↰⪸2491)))↛⩡⫤","cot":[{"info":"⨰⫟⨤⫖↰⪸2491=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(↯⪼($1433$⋫))⊴($2118$⨓$3184$⩨$2520$≧⫂∧$7221$)⪢(((∥⊫$1769$)%(↥$3625$))⨐⩸⫘($3669$⨽$2026$)⨪↰⇹($1931$⨵⪆$1522$))","expression":"(↯⪼(⫖↰⪸9B5⋫))⊴(⫖↰⪸1286⨓⫖↰⪸1A14⩨⫖↰⪸1560≧⫂∧⫖↰⪸4219)⪢(((∥⊫⫖↰⪸1035)%(↥⫖↰⪸2121))⨐⩸⫘(⫖↰⪸2159⨽⫖↰⪸120A)⨪↰⇹(⫖↰⪸114B⨵⪆⫖↰⪸A6A))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9100,"operation_count":14,"complexity_ratio":650.0,"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":1433,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2118,"base":12},"right_expr":{"type":"numeric_atoms","value":3184,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2520,"base":12},"right_expr":{"type":"numeric_atoms","value":7221,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1769,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3625,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3669,"base":12},"right_expr":{"type":"numeric_atoms","value":2026,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1931,"base":12},"right_expr":{"type":"numeric_atoms","value":1522,"base":12}}}}},"used_operators":["dWAJyo7jo9","Nsiff2A1zJ","8jW3W4yZS5","JL8yIekQnl","2DlMacCsIx","3ViojmjbAp","Ph9nP6C5qx","fu6greOZ01","k8jYdgA6NY","P8v4zCKN1o","A8NUZmVepG","tmPS8pqC7x","8HhzD0ZcuI","2DQ55sFlQl"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1433","layer":3},{"info":"compute unary expreesion, input=1433, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2118","layer":4},{"info":"number node, value=3184","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=3184, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3187","layer":3},{"info":"number node, value=2520","layer":4},{"info":"number node, value=7221","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=7221, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6748","layer":3},{"info":"compute binary expreesion, left_input=-3187, right_input=6748, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=9, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2637","layer":3},{"info":"number node, value=3625","layer":4},{"info":"compute unary expreesion, input=3625, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=4","layer":3},{"info":"compute binary expreesion, left_input=2637, right_input=4, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1","layer":2},{"info":"number node, value=3669","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=2026, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-40389447","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1522, 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=-40389447, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=1, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"(↯⪼(⫖↰⪸9B5⋫))⊴(⫖↰⪸1286⨓⫖↰⪸1A14⩨⫖↰⪸1560≧⫂∧⫖↰⪸4219)⪢(((∥⊫⫖↰⪸1035)%(↥⫖↰⪸2121))⨐⩸⫘(⫖↰⪸2159⨽⫖↰⪸120A)⨪↰⇹(⫖↰⪸114B⨵⪆⫖↰⪸A6A))=NaN","reverse_text":"NaN=(↯⪼(⫖↰⪸9B5⋫))⊴(⫖↰⪸1286⨓⫖↰⪸1A14⩨⫖↰⪸1560≧⫂∧⫖↰⪸4219)⪢(((∥⊫⫖↰⪸1035)%(↥⫖↰⪸2121))⨐⩸⫘(⫖↰⪸2159⨽⫖↰⪸120A)⨪↰⇹(⫖↰⪸114B⨵⪆⫖↰⪸A6A))","cot":[{"info":"⫖↰⪸9B5⋫=⫖↰⪸9B5","layer":3},{"info":"↯⪼⫖↰⪸9B5=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸1286⨓⫖↰⪸1A14=⫖↰⪸-1A17","layer":3},{"info":"⫖↰⪸1560≧⫂∧⫖↰⪸4219=⫖↰⪸3AA4","layer":3},{"info":"⫖↰⪸-1A17⩨⫖↰⪸3AA4=⫖↰⪸9","layer":2},{"info":"⫖↰⪸-19⊴⫖↰⪸9=NaN","layer":1},{"info":"∥⊫⫖↰⪸1035=⫖↰⪸1639","layer":3},{"info":"↥⫖↰⪸2121=⫖↰⪸4","layer":3},{"info":"⫖↰⪸1639%⫖↰⪸4=⫖↰⪸1","layer":2},{"info":"⫖↰⪸2159⨽⫖↰⪸120A=⫖↰⪸-11639633","layer":3},{"info":"⫖↰⪸114B⨵⪆⫖↰⪸A6A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-11639633⨪↰⇹⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸1⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"((($9120$⊘)⨽($6434$/$1357$))∸)↬($7964$⪘⫢$2331$⨰($3275$≎⊠⪸$8036$))⪢((⊙↵-$4289$)⋳⪒($1742$≦≮≮))","expression":"(((⫖↰⪸5340⊘)⨽(⫖↰⪸3882/⫖↰⪸951))∸)↬(⫖↰⪸4738⪘⫢⫖↰⪸1423⨰(⫖↰⪸1A8B≎⊠⪸⫖↰⪸4798))⪢((⊙↵-⫖↰⪸2595)⋳⪒(⫖↰⪸1012≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":645076,"operation_count":12,"complexity_ratio":53756.333333333336,"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":9120,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6434,"base":12},"right_expr":{"type":"numeric_atoms","value":1357,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7964,"base":12},"right_expr":{"type":"numeric_atoms","value":2331,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3275,"base":12},"right_expr":{"type":"numeric_atoms","value":8036,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4289,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1742,"base":12}}}}},"used_operators":["B5M0gjZbta","o20kRiQErp","8HhzD0ZcuI","gu96TGCTMs","XhwjNDsVaA","dWAJyo7jo9","eewbuw0ToL","oacrs7FA3X","bJkvcejdHO","12rbrZMWeM","oWn0xqSxBt","D4vGDi5EA2"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9120","layer":4},{"info":"compute unary expreesion, input=9120, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=6434","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=6434, right_input=1357, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1302","layer":2},{"info":"compute unary expreesion, input=1302, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=7964","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=7964, right_input=2331, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15804","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=8036","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=8036, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=847752","layer":3},{"info":"compute binary expreesion, left_input=15804, right_input=847752, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-831938","layer":2},{"info":"number node, value=4289","layer":4},{"info":"compute unary expreesion, input=4289, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1742","layer":4},{"info":"compute unary expreesion, input=1742, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5226","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-5226, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4937","layer":2},{"info":"compute binary expreesion, left_input=-831938, right_input=4937, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=177, 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":"(((⫖↰⪸5340⊘)⨽(⫖↰⪸3882/⫖↰⪸951))∸)↬(⫖↰⪸4738⪘⫢⫖↰⪸1423⨰(⫖↰⪸1A8B≎⊠⪸⫖↰⪸4798))⪢((⊙↵-⫖↰⪸2595)⋳⪒(⫖↰⪸1012≦≮≮))=NaN","reverse_text":"NaN=(((⫖↰⪸5340⊘)⨽(⫖↰⪸3882/⫖↰⪸951))∸)↬(⫖↰⪸4738⪘⫢⫖↰⪸1423⨰(⫖↰⪸1A8B≎⊠⪸⫖↰⪸4798))⪢((⊙↵-⫖↰⪸2595)⋳⪒(⫖↰⪸1012≦≮≮))","cot":[{"info":"⫖↰⪸5340⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3882/⫖↰⪸951=⫖↰⪸4","layer":3},{"info":"⫖↰⪸0⨽⫖↰⪸4=⫖↰⪸906","layer":2},{"info":"⫖↰⪸906∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸4738⪘⫢⫖↰⪸1423=⫖↰⪸9190","layer":3},{"info":"⫖↰⪸1A8B≎⊠⪸⫖↰⪸4798=⫖↰⪸34A720","layer":3},{"info":"⫖↰⪸9190⨰⫖↰⪸34A720=⫖↰⪸-341542","layer":2},{"info":"⊙↵-⫖↰⪸2595=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1012≦≮≮=⫖↰⪸-3036","layer":3},{"info":"⫖↰⪸-1⋳⪒⫖↰⪸-3036=⫖↰⪸2A35","layer":2},{"info":"⫖↰⪸-341542⪢⫖↰⪸2A35=NaN","layer":1},{"info":"⫖↰⪸129↬NaN=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"($2353$∼$3601$≧⫂∧($1485$⋳⪒$1105$)⫌⩹⨱)⪛((↽≂$2668$⨎$2110$)⫡⨏(⫛⫱⨽$6114$)⪛($8058$⋷$2288$))","expression":"(⫖↰⪸1441∼⫖↰⪸2101≧⫂∧(⫖↰⪸A39⋳⪒⫖↰⪸781)⫌⩹⨱)⪛((↽≂⫖↰⪸1664⨎⫖↰⪸127A)⫡⨏(⫛⫱⨽⫖↰⪸3656)⪛(⫖↰⪸47B6⋷⫖↰⪸13A8))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1507,"operation_count":11,"complexity_ratio":137.0,"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":2353,"base":12},"right_expr":{"type":"numeric_atoms","value":3601,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1485,"base":12},"right_expr":{"type":"numeric_atoms","value":1105,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2668,"base":12},"right_expr":{"type":"numeric_atoms","value":2110,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6114,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8058,"base":12},"right_expr":{"type":"numeric_atoms","value":2288,"base":12}}}}},"used_operators":["uFcxV4UQCh","EBcxylXtPf","Ph9nP6C5qx","DyGG3AbaNP","12rbrZMWeM","QMFrweE19q","u6S6b8DprG","rJVOvQCfKK","DlLNRPXxWL","23Mk6UjR3U"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-9802","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2353","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=3601, 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=1485","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1105, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1578","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1578, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1105","layer":2},{"info":"compute unary expreesion, input=1105, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3611","layer":1},{"info":"number node, value=2668","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=2110, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2110","layer":3},{"info":"compute unary expreesion, input=2110, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4220","layer":2},{"info":"number node, value=6114","layer":4},{"info":"compute unary expreesion, input=6114, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=8058","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=8058, right_input=2288, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3482","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3482, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4220, 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=-20317","layer":1},{"info":"compute binary expreesion, left_input=3611, right_input=-20317, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-16706","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1441∼⫖↰⪸2101≧⫂∧(⫖↰⪸A39⋳⪒⫖↰⪸781)⫌⩹⨱)⪛((↽≂⫖↰⪸1664⨎⫖↰⪸127A)⫡⨏(⫛⫱⨽⫖↰⪸3656)⪛(⫖↰⪸47B6⋷⫖↰⪸13A8))=⫖↰⪸-9802","reverse_text":"⫖↰⪸-9802=(⫖↰⪸1441∼⫖↰⪸2101≧⫂∧(⫖↰⪸A39⋳⪒⫖↰⪸781)⫌⩹⨱)⪛((↽≂⫖↰⪸1664⨎⫖↰⪸127A)⫡⨏(⫛⫱⨽⫖↰⪸3656)⪛(⫖↰⪸47B6⋷⫖↰⪸13A8))","cot":[{"info":"⫖↰⪸1441∼⫖↰⪸2101=NaN","layer":3},{"info":"⫖↰⪸A39⋳⪒⫖↰⪸781=⫖↰⪸AB6","layer":3},{"info":"NaN≧⫂∧⫖↰⪸AB6=⫖↰⪸781","layer":2},{"info":"⫖↰⪸781⫌⩹⨱=⫖↰⪸210B","layer":1},{"info":"⫖↰⪸1664⨎⫖↰⪸127A=⫖↰⪸127A","layer":3},{"info":"↽≂⫖↰⪸127A=⫖↰⪸-2538","layer":2},{"info":"⫛⫱⨽⫖↰⪸3656=⫖↰⪸0","layer":3},{"info":"⫖↰⪸47B6⋷⫖↰⪸13A8=⫖↰⪸-2022","layer":3},{"info":"⫖↰⪸0⪛⫖↰⪸-2022=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-2538⫡⨏⫖↰⪸0=⫖↰⪸-B911","layer":1},{"info":"⫖↰⪸210B⪛⫖↰⪸-B911=⫖↰⪸-9802","layer":0}]}
{"id":70,"expression_no_base_symbol":"((⩦⩻⨪$8878$⫥∨⫟$3303$)⨎($2890$⫸⊐$2715$)⩷∴($5487$⨸⪁$2287$))⊭∹↮","expression":"((⩦⩻⨪⫖↰⪸517A⫥∨⫟⫖↰⪸1AB3)⨎(⫖↰⪸180A⫸⊐⫖↰⪸16A3)⩷∴(⫖↰⪸3213⨸⪁⫖↰⪸13A7))⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":192,"operation_count":7,"complexity_ratio":27.428571428571427,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8878,"base":12},"right_expr":{"type":"numeric_atoms","value":3303,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2890,"base":12},"right_expr":{"type":"numeric_atoms","value":2715,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5487,"base":12},"right_expr":{"type":"numeric_atoms","value":2287,"base":12}}}}},"used_operators":["xNBdhnnwKq","rJVOvQCfKK","2td37pGCOC","KYD54nUTWz","9FxExcQeMw","mqXw5SEYmG","g55IO6H4Gj"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"⫖↰⪸-570A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8878","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=8878, right_input=3303, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=2890","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=2715, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10735","layer":3},{"info":"number node, value=5487","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=5487, right_input=2287, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15548","layer":3},{"info":"compute binary expreesion, left_input=10735, right_input=15548, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9658","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9658, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-9658","layer":1},{"info":"compute unary expreesion, input=-9658, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-9658","layer":0}],"base":12,"result_base":12,"text":"((⩦⩻⨪⫖↰⪸517A⫥∨⫟⫖↰⪸1AB3)⨎(⫖↰⪸180A⫸⊐⫖↰⪸16A3)⩷∴(⫖↰⪸3213⨸⪁⫖↰⪸13A7))⊭∹↮=⫖↰⪸-570A","reverse_text":"⫖↰⪸-570A=((⩦⩻⨪⫖↰⪸517A⫥∨⫟⫖↰⪸1AB3)⨎(⫖↰⪸180A⫸⊐⫖↰⪸16A3)⩷∴(⫖↰⪸3213⨸⪁⫖↰⪸13A7))⊭∹↮","cot":[{"info":"⫖↰⪸517A⫥∨⫟⫖↰⪸1AB3=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⫖↰⪸180A⫸⊐⫖↰⪸16A3=⫖↰⪸6267","layer":3},{"info":"⫖↰⪸3213⨸⪁⫖↰⪸13A7=⫖↰⪸8BB8","layer":3},{"info":"⫖↰⪸6267⩷∴⫖↰⪸8BB8=⫖↰⪸-570A","layer":2},{"info":"NaN⨎⫖↰⪸-570A=⫖↰⪸-570A","layer":1},{"info":"⫖↰⪸-570A⊭∹↮=⫖↰⪸-570A","layer":0}]}
{"id":71,"expression_no_base_symbol":"⫓⪴(⪝⪂⫅((⨰⫟⨤$2475$)⨰($2065$⨐⩸⫘$1648$)))","expression":"⫓⪴(⪝⪂⫅((⨰⫟⨤⫖↰⪸1523)⨰(⫖↰⪸1241⨐⩸⫘⫖↰⪸B54)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9072,"operation_count":5,"complexity_ratio":1814.4,"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":2475,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2065,"base":12},"right_expr":{"type":"numeric_atoms","value":1648,"base":12}}}}},"used_operators":["eLxqMNBOBk","XTarYq4gQB","eewbuw0ToL","Tw270M8GLb","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2475","layer":4},{"info":"compute unary expreesion, input=2475, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1648, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⪝⪂⫅((⨰⫟⨤⫖↰⪸1523)⨰(⫖↰⪸1241⨐⩸⫘⫖↰⪸B54)))=NaN","reverse_text":"NaN=⫓⪴(⪝⪂⫅((⨰⫟⨤⫖↰⪸1523)⨰(⫖↰⪸1241⨐⩸⫘⫖↰⪸B54)))","cot":[{"info":"⨰⫟⨤⫖↰⪸1523=NaN","layer":3},{"info":"⫖↰⪸1241⨐⩸⫘⫖↰⪸B54=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"($1679$⊴$3536$≧⫂∧$1144$∀⇚≩$1173$⫌⩹⨱)⪮%⊝((($1138$⋷$3684$)⨐⩸⫘$6003$∑⇟⊟$2381$)∼($8159$⪄$1594$-$2831$↬$1701$))","expression":"(⫖↰⪸B7B⊴⫖↰⪸2068≧⫂∧⫖↰⪸7B4∀⇚≩⫖↰⪸819⫌⩹⨱)⪮%⊝(((⫖↰⪸7AA⋷⫖↰⪸2170)⨐⩸⫘⫖↰⪸3583∑⇟⊟⫖↰⪸1465)∼(⫖↰⪸487B⪄⫖↰⪸B0A-⫖↰⪸177B↬⫖↰⪸B99))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11672,"operation_count":12,"complexity_ratio":972.6666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1679,"base":12},"right_expr":{"type":"numeric_atoms","value":3536,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":1173,"base":12}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":3684,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6003,"base":12},"right_expr":{"type":"numeric_atoms","value":2381,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8159,"base":12},"right_expr":{"type":"numeric_atoms","value":1594,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2831,"base":12},"right_expr":{"type":"numeric_atoms","value":1701,"base":12}}}}},"used_operators":["IWmyXbctLI","EBcxylXtPf","Ph9nP6C5qx","Nsiff2A1zJ","LRNGc0VcxI","DyGG3AbaNP","fu6greOZ01","23Mk6UjR3U","U7g4x0WXJJ","rysDP5nf3Z","SUmda5xLS4","B5M0gjZbta"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=3536, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1173, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"number node, value=1138","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=3684, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6230","layer":3},{"info":"number node, value=6003","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=6003, right_input=2381, 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=6230, 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=8159","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=8159, right_input=1594, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1209997","layer":3},{"info":"number node, value=2831","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=1701, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1209997, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B7B⊴⫖↰⪸2068≧⫂∧⫖↰⪸7B4∀⇚≩⫖↰⪸819⫌⩹⨱)⪮%⊝(((⫖↰⪸7AA⋷⫖↰⪸2170)⨐⩸⫘⫖↰⪸3583∑⇟⊟⫖↰⪸1465)∼(⫖↰⪸487B⪄⫖↰⪸B0A-⫖↰⪸177B↬⫖↰⪸B99))=NaN","reverse_text":"NaN=(⫖↰⪸B7B⊴⫖↰⪸2068≧⫂∧⫖↰⪸7B4∀⇚≩⫖↰⪸819⫌⩹⨱)⪮%⊝(((⫖↰⪸7AA⋷⫖↰⪸2170)⨐⩸⫘⫖↰⪸3583∑⇟⊟⫖↰⪸1465)∼(⫖↰⪸487B⪄⫖↰⪸B0A-⫖↰⪸177B↬⫖↰⪸B99))","cot":[{"info":"⫖↰⪸B7B⊴⫖↰⪸2068=NaN","layer":3},{"info":"⫖↰⪸7B4∀⇚≩⫖↰⪸819=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⫖↰⪸7AA⋷⫖↰⪸2170=⫖↰⪸3732","layer":3},{"info":"⫖↰⪸3583∑⇟⊟⫖↰⪸1465=NaN","layer":3},{"info":"⫖↰⪸3732⨐⩸⫘NaN=NaN","layer":2},{"info":"⫖↰⪸487B⪄⫖↰⪸B0A=⫖↰⪸-4A4291","layer":3},{"info":"⫖↰⪸177B↬⫖↰⪸B99=NaN","layer":3},{"info":"⫖↰⪸-4A4291-NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"((⨰⫟⨤$3892$)⋫)⋝⋈⪟((↣≠⋷$5694$)⋝⋈⪟($4785$↪⪝))⨸⪁(($4584$/$1369$)⊉≛↸$1226$≹⇙⪍$1024$)↬($2651$≎⊠⪸$1096$)∼($1488$⊉≛↸$1509$)","expression":"((⨰⫟⨤⫖↰⪸2304)⋫)⋝⋈⪟((↣≠⋷⫖↰⪸3366)⋝⋈⪟(⫖↰⪸2929↪⪝))⨸⪁((⫖↰⪸27A0/⫖↰⪸961)⊉≛↸⫖↰⪸862≹⇙⪍⫖↰⪸714)↬(⫖↰⪸164B≎⊠⪸⫖↰⪸774)∼(⫖↰⪸A40⊉≛↸⫖↰⪸A59)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29180,"operation_count":14,"complexity_ratio":2084.285714285714,"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":3892,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5694,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4785,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4584,"base":12},"right_expr":{"type":"numeric_atoms","value":1369,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1226,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2651,"base":12},"right_expr":{"type":"numeric_atoms","value":1096,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1488,"base":12},"right_expr":{"type":"numeric_atoms","value":1509,"base":12}}}}},"used_operators":["g55IO6H4Gj","2DDjHMKMc0","JL8yIekQnl","Tw270M8GLb","Asc51vEJeQ","l07mrZUIn9","B5M0gjZbta","DZ8iAZOCBD","XhwjNDsVaA","AHs5Up7iyr","DyGG3AbaNP","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3892","layer":4},{"info":"compute unary expreesion, input=3892, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"number node, value=5694","layer":4},{"info":"compute unary expreesion, input=5694, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4785","layer":4},{"info":"compute unary expreesion, input=4785, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=292755870","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=292755870, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=4584","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=4584, right_input=1369, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1024, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6","layer":2},{"info":"number node, value=2651","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=1096, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=686136","layer":3},{"info":"number node, value=1488","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=1509, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2976","layer":3},{"info":"compute binary expreesion, left_input=686136, right_input=2976, 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=6, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨰⫟⨤⫖↰⪸2304)⋫)⋝⋈⪟((↣≠⋷⫖↰⪸3366)⋝⋈⪟(⫖↰⪸2929↪⪝))⨸⪁((⫖↰⪸27A0/⫖↰⪸961)⊉≛↸⫖↰⪸862≹⇙⪍⫖↰⪸714)↬(⫖↰⪸164B≎⊠⪸⫖↰⪸774)∼(⫖↰⪸A40⊉≛↸⫖↰⪸A59)=NaN","reverse_text":"NaN=((⨰⫟⨤⫖↰⪸2304)⋫)⋝⋈⪟((↣≠⋷⫖↰⪸3366)⋝⋈⪟(⫖↰⪸2929↪⪝))⨸⪁((⫖↰⪸27A0/⫖↰⪸961)⊉≛↸⫖↰⪸862≹⇙⪍⫖↰⪸714)↬(⫖↰⪸164B≎⊠⪸⫖↰⪸774)∼(⫖↰⪸A40⊉≛↸⫖↰⪸A59)","cot":[{"info":"⨰⫟⨤⫖↰⪸2304=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"↣≠⋷⫖↰⪸3366=NaN","layer":3},{"info":"⫖↰⪸2929↪⪝=⫖↰⪸82062AA6","layer":3},{"info":"NaN⋝⋈⪟⫖↰⪸82062AA6=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸27A0/⫖↰⪸961=⫖↰⪸3","layer":3},{"info":"⫖↰⪸862≹⇙⪍⫖↰⪸714=NaN","layer":3},{"info":"⫖↰⪸3⊉≛↸NaN=⫖↰⪸6","layer":2},{"info":"⫖↰⪸164B≎⊠⪸⫖↰⪸774=⫖↰⪸2910A0","layer":3},{"info":"⫖↰⪸A40⊉≛↸⫖↰⪸A59=⫖↰⪸1880","layer":3},{"info":"⫖↰⪸2910A0∼⫖↰⪸1880=NaN","layer":2},{"info":"⫖↰⪸6↬NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"(($1239$⨵⪆$5397$)+⇶⊼(-$1034$)⩨($3057$+⇶⊼$2946$⊉≛↸(⫓⪴$7192$)))⋓(↯⪼$1633$⪢$1230$)⪛($1106$⋝⋈⪟$5584$%$1177$⪮%⊝$1768$)","expression":"((⫖↰⪸873⨵⪆⫖↰⪸3159)+⇶⊼(-⫖↰⪸722)⩨(⫖↰⪸1929+⇶⊼⫖↰⪸1856⊉≛↸(⫓⪴⫖↰⪸41B4)))⋓(↯⪼⫖↰⪸B41⪢⫖↰⪸866)⪛(⫖↰⪸782⋝⋈⪟⫖↰⪸3294%⫖↰⪸821⪮%⊝⫖↰⪸1034)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10305,"operation_count":14,"complexity_ratio":736.0714285714286,"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":1239,"base":12},"right_expr":{"type":"numeric_atoms","value":5397,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1034,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3057,"base":12},"right_expr":{"type":"numeric_atoms","value":2946,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7192,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1633,"base":12},"right_expr":{"type":"numeric_atoms","value":1230,"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":5584,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1177,"base":12},"right_expr":{"type":"numeric_atoms","value":1768,"base":12}}}}},"used_operators":["T2fj7uvVaJ","2DlMacCsIx","TpPTUOHfaN","2DQ55sFlQl","t8gj7n24qd","DZ8iAZOCBD","eLxqMNBOBk","uFcxV4UQCh","8jW3W4yZS5","dWAJyo7jo9","k8jYdgA6NY","2DDjHMKMc0","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1239","layer":4},{"info":"number node, value=5397","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=5397, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1034","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1034, 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=3057","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=2946, 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=7192","layer":4},{"info":"compute unary expreesion, input=7192, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=51724864","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=51724864, 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1633","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=1230, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=5584, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1106","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1768, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2670","layer":3},{"info":"compute binary expreesion, left_input=1106, right_input=2670, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1106","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=1106, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1085","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1085, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸873⨵⪆⫖↰⪸3159)+⇶⊼(-⫖↰⪸722)⩨(⫖↰⪸1929+⇶⊼⫖↰⪸1856⊉≛↸(⫓⪴⫖↰⪸41B4)))⋓(↯⪼⫖↰⪸B41⪢⫖↰⪸866)⪛(⫖↰⪸782⋝⋈⪟⫖↰⪸3294%⫖↰⪸821⪮%⊝⫖↰⪸1034)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸873⨵⪆⫖↰⪸3159)+⇶⊼(-⫖↰⪸722)⩨(⫖↰⪸1929+⇶⊼⫖↰⪸1856⊉≛↸(⫓⪴⫖↰⪸41B4)))⋓(↯⪼⫖↰⪸B41⪢⫖↰⪸866)⪛(⫖↰⪸782⋝⋈⪟⫖↰⪸3294%⫖↰⪸821⪮%⊝⫖↰⪸1034)","cot":[{"info":"⫖↰⪸873⨵⪆⫖↰⪸3159=⫖↰⪸114","layer":3},{"info":"-⫖↰⪸722=⫖↰⪸-722","layer":3},{"info":"⫖↰⪸114+⇶⊼⫖↰⪸-722=NaN","layer":2},{"info":"⫖↰⪸1929+⇶⊼⫖↰⪸1856=NaN","layer":3},{"info":"⫓⪴⫖↰⪸41B4=⫖↰⪸153A5454","layer":3},{"info":"NaN⊉≛↸⫖↰⪸153A5454=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫖↰⪸B41⪢⫖↰⪸866=NaN","layer":3},{"info":"↯⪼NaN=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸782⋝⋈⪟⫖↰⪸3294=⫖↰⪸782","layer":3},{"info":"⫖↰⪸821⪮%⊝⫖↰⪸1034=⫖↰⪸1666","layer":3},{"info":"⫖↰⪸782%⫖↰⪸1666=⫖↰⪸782","layer":2},{"info":"⫖↰⪸-19⪛⫖↰⪸782=⫖↰⪸765","layer":1},{"info":"NaN⋓⫖↰⪸765=⫖↰⪸0","layer":0}]}
{"id":75,"expression_no_base_symbol":"($4297$⫥∨⫟$2756$⪨≂$2913$⩷∴$1831$)⨽(($3093$⨳⩥⨓$3030$)⊪)*(($1016$⊦⊿)⊭↱($3286$⪨≂$1006$)%(⨵≀≌$3143$⫸⊐$7450$))","expression":"(⫖↰⪸25A1⫥∨⫟⫖↰⪸1718⪨≂⫖↰⪸1829⩷∴⫖↰⪸1087)⨽((⫖↰⪸1959⨳⩥⨓⫖↰⪸1906)⊪)*((⫖↰⪸708⊦⊿)⊭↱(⫖↰⪸1A9A⪨≂⫖↰⪸6BA)%(⨵≀≌⫖↰⪸199B⫸⊐⫖↰⪸438A))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":258,"operation_count":13,"complexity_ratio":19.846153846153847,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4297,"base":12},"right_expr":{"type":"numeric_atoms","value":2756,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2913,"base":12},"right_expr":{"type":"numeric_atoms","value":1831,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3093,"base":12},"right_expr":{"type":"numeric_atoms","value":3030,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1016,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3286,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3143,"base":12},"right_expr":{"type":"numeric_atoms","value":7450,"base":12}}}}},"used_operators":["9HNa5Wba9A","8HhzD0ZcuI","sdazOOVcIp","KYD54nUTWz","9FxExcQeMw","zVYPLywUTj","nCS4ZIUYfx","k8jYdgA6NY","COABgblf1C","14qkJME0vr","srAu1WTS94","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4297","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=4297, right_input=2756, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2913","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=1831, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2132, op_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=3093","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=3030, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-63","layer":3},{"info":"compute unary expreesion, input=-63, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3127","layer":3},{"info":"number node, value=3286","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=1006, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4662","layer":3},{"info":"compute binary expreesion, left_input=-3127, right_input=4662, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=15583","layer":2},{"info":"number node, value=3143","layer":4},{"info":"number node, value=7450","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=7450, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=29675","layer":3},{"info":"compute unary expreesion, input=29675, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-89025","layer":2},{"info":"compute binary expreesion, left_input=15583, right_input=-89025, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-73442","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-73442, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸25A1⫥∨⫟⫖↰⪸1718⪨≂⫖↰⪸1829⩷∴⫖↰⪸1087)⨽((⫖↰⪸1959⨳⩥⨓⫖↰⪸1906)⊪)*((⫖↰⪸708⊦⊿)⊭↱(⫖↰⪸1A9A⪨≂⫖↰⪸6BA)%(⨵≀≌⫖↰⪸199B⫸⊐⫖↰⪸438A))=NaN","reverse_text":"NaN=(⫖↰⪸25A1⫥∨⫟⫖↰⪸1718⪨≂⫖↰⪸1829⩷∴⫖↰⪸1087)⨽((⫖↰⪸1959⨳⩥⨓⫖↰⪸1906)⊪)*((⫖↰⪸708⊦⊿)⊭↱(⫖↰⪸1A9A⪨≂⫖↰⪸6BA)%(⨵≀≌⫖↰⪸199B⫸⊐⫖↰⪸438A))","cot":[{"info":"⫖↰⪸25A1⫥∨⫟⫖↰⪸1718=NaN","layer":3},{"info":"⫖↰⪸1829⩷∴⫖↰⪸1087=⫖↰⪸1298","layer":3},{"info":"NaN⪨≂⫖↰⪸1298=NaN","layer":2},{"info":"⫖↰⪸1959⨳⩥⨓⫖↰⪸1906=⫖↰⪸-53","layer":3},{"info":"⫖↰⪸-53⊪=⫖↰⪸0","layer":2},{"info":"NaN⨽⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸708⊦⊿=⫖↰⪸-1987","layer":3},{"info":"⫖↰⪸1A9A⪨≂⫖↰⪸6BA=⫖↰⪸2846","layer":3},{"info":"⫖↰⪸-1987⊭↱⫖↰⪸2846=⫖↰⪸9027","layer":2},{"info":"⫖↰⪸199B⫸⊐⫖↰⪸438A=⫖↰⪸1520B","layer":3},{"info":"⨵≀≌⫖↰⪸1520B=⫖↰⪸-43629","layer":2},{"info":"⫖↰⪸9027%⫖↰⪸-43629=⫖↰⪸-36602","layer":1},{"info":"NaN*⫖↰⪸-36602=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"($1846$⊭↱$7605$)⨟⋌⩍($5848$⨐⩸⫘$1518$)⋓$4065$⊴$3296$⨪↰⇹$1611$≹⇙⪍$3758$⨸⪁($4440$≧⫂∧$1366$)⪛($1813$+⇶⊼$2100$)+⇶⊼(($5471$⪠⩆⊳)⇋≉)","expression":"(⫖↰⪸109A⊭↱⫖↰⪸4499)⨟⋌⩍(⫖↰⪸3474⨐⩸⫘⫖↰⪸A66)⋓⫖↰⪸2429⊴⫖↰⪸1AA8⨪↰⇹⫖↰⪸B23≹⇙⪍⫖↰⪸2212⨸⪁(⫖↰⪸26A0≧⫂∧⫖↰⪸95A)⪛(⫖↰⪸1071+⇶⊼⫖↰⪸1270)+⇶⊼((⫖↰⪸31BB⪠⩆⊳)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13425,"operation_count":14,"complexity_ratio":958.9285714285714,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1846,"base":12},"right_expr":{"type":"numeric_atoms","value":7605,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5848,"base":12},"right_expr":{"type":"numeric_atoms","value":1518,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4065,"base":12},"right_expr":{"type":"numeric_atoms","value":3296,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1611,"base":12},"right_expr":{"type":"numeric_atoms","value":3758,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4440,"base":12},"right_expr":{"type":"numeric_atoms","value":1366,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1813,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5471,"base":12}}}}},"used_operators":["g55IO6H4Gj","T2fj7uvVaJ","rGHVDoGpnC","COABgblf1C","fu6greOZ01","tmPS8pqC7x","Nsiff2A1zJ","AHs5Up7iyr","TpPTUOHfaN","uFcxV4UQCh","Ph9nP6C5qx","XIabStNQrY","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1846","layer":4},{"info":"number node, value=7605","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=7605, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11523","layer":3},{"info":"number node, value=5848","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=1518, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=11523, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4065","layer":4},{"info":"number node, value=3296","layer":4},{"info":"compute binary expreesion, left_input=4065, right_input=3296, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1611","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=3758, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=4440","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=4440, right_input=1366, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=893","layer":3},{"info":"number node, value=1813","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=2100, 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=893, 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=5471","layer":4},{"info":"compute unary expreesion, input=5471, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-98, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸109A⊭↱⫖↰⪸4499)⨟⋌⩍(⫖↰⪸3474⨐⩸⫘⫖↰⪸A66)⋓⫖↰⪸2429⊴⫖↰⪸1AA8⨪↰⇹⫖↰⪸B23≹⇙⪍⫖↰⪸2212⨸⪁(⫖↰⪸26A0≧⫂∧⫖↰⪸95A)⪛(⫖↰⪸1071+⇶⊼⫖↰⪸1270)+⇶⊼((⫖↰⪸31BB⪠⩆⊳)⇋≉)=NaN","reverse_text":"NaN=(⫖↰⪸109A⊭↱⫖↰⪸4499)⨟⋌⩍(⫖↰⪸3474⨐⩸⫘⫖↰⪸A66)⋓⫖↰⪸2429⊴⫖↰⪸1AA8⨪↰⇹⫖↰⪸B23≹⇙⪍⫖↰⪸2212⨸⪁(⫖↰⪸26A0≧⫂∧⫖↰⪸95A)⪛(⫖↰⪸1071+⇶⊼⫖↰⪸1270)+⇶⊼((⫖↰⪸31BB⪠⩆⊳)⇋≉)","cot":[{"info":"⫖↰⪸109A⊭↱⫖↰⪸4499=⫖↰⪸6803","layer":3},{"info":"⫖↰⪸3474⨐⩸⫘⫖↰⪸A66=NaN","layer":3},{"info":"⫖↰⪸6803⨟⋌⩍NaN=NaN","layer":2},{"info":"⫖↰⪸2429⊴⫖↰⪸1AA8=NaN","layer":3},{"info":"⫖↰⪸B23≹⇙⪍⫖↰⪸2212=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫖↰⪸26A0≧⫂∧⫖↰⪸95A=⫖↰⪸625","layer":3},{"info":"⫖↰⪸1071+⇶⊼⫖↰⪸1270=NaN","layer":3},{"info":"⫖↰⪸625⪛NaN=NaN","layer":2},{"info":"⫖↰⪸31BB⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":2},{"info":"NaN+⇶⊼⫖↰⪸-82=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":77,"expression_no_base_symbol":"((($2315$⊪)≦≮≮)⊪)⪮%⊝(≦∁($5774$↬$2639$)⪘⫢$6592$∼$1196$)","expression":"(((⫖↰⪸140B⊪)≦≮≮)⊪)⪮%⊝(≦∁(⫖↰⪸3412↬⫖↰⪸163B)⪘⫢⫖↰⪸3994∼⫖↰⪸838)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":200,"operation_count":8,"complexity_ratio":25.0,"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":2315,"base":12}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5774,"base":12},"right_expr":{"type":"numeric_atoms","value":2639,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6592,"base":12},"right_expr":{"type":"numeric_atoms","value":1196,"base":12}}}}},"used_operators":["IWmyXbctLI","zVYPLywUTj","D4vGDi5EA2","9ICcGScMcE","oacrs7FA3X","B5M0gjZbta","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2315","layer":4},{"info":"compute unary expreesion, input=2315, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=5774","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=5774, right_input=2639, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6592","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=6592, right_input=1196, 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 = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸140B⊪)≦≮≮)⊪)⪮%⊝(≦∁(⫖↰⪸3412↬⫖↰⪸163B)⪘⫢⫖↰⪸3994∼⫖↰⪸838)=NaN","reverse_text":"NaN=(((⫖↰⪸140B⊪)≦≮≮)⊪)⪮%⊝(≦∁(⫖↰⪸3412↬⫖↰⪸163B)⪘⫢⫖↰⪸3994∼⫖↰⪸838)","cot":[{"info":"⫖↰⪸140B⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≦≮≮=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3412↬⫖↰⪸163B=NaN","layer":3},{"info":"⫖↰⪸3994∼⫖↰⪸838=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⫖↰⪸0⪮%⊝NaN=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"((↽≂$4093$)⇼⇔∾$2915$⪢$1149$)↙(($1647$⩨$7400$)⊘)⨸⪁($1451$∑⇟⊟$1479$⪄($1357$⫡⨏$6629$))↬((∂$4595$)⨰($2470$⨎$2299$))","expression":"((↽≂⫖↰⪸2451)⇼⇔∾⫖↰⪸182B⪢⫖↰⪸7B9)↙((⫖↰⪸B53⩨⫖↰⪸4348)⊘)⨸⪁(⫖↰⪸A0B∑⇟⊟⫖↰⪸A33⪄(⫖↰⪸951⫡⨏⫖↰⪸3A05))↬((∂⫖↰⪸27AB)⨰(⫖↰⪸151A⨎⫖↰⪸13B7))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1701,"operation_count":14,"complexity_ratio":121.5,"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":4093,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2915,"base":12},"right_expr":{"type":"numeric_atoms","value":1149,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1647,"base":12},"right_expr":{"type":"numeric_atoms","value":7400,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1451,"base":12},"right_expr":{"type":"numeric_atoms","value":1479,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1357,"base":12},"right_expr":{"type":"numeric_atoms","value":6629,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4595,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2470,"base":12},"right_expr":{"type":"numeric_atoms","value":2299,"base":12}}}}},"used_operators":["g55IO6H4Gj","yyfyN0ffXY","tifHPKVTfV","u6S6b8DprG","dWAJyo7jo9","gu96TGCTMs","2DlMacCsIx","B5M0gjZbta","SUmda5xLS4","U7g4x0WXJJ","QMFrweE19q","eewbuw0ToL","Uaa54Peajs","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4093","layer":4},{"info":"compute unary expreesion, input=4093, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8186","layer":3},{"info":"number node, value=2915","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=1149, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=-8186, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1647","layer":4},{"info":"number node, value=7400","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=7400, 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 = 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=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=1451","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1479, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=6629","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=6629, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20826","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20826, 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=4595","layer":4},{"info":"compute unary expreesion, input=4595, 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=2470","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=2299, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2299","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2299, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↽≂⫖↰⪸2451)⇼⇔∾⫖↰⪸182B⪢⫖↰⪸7B9)↙((⫖↰⪸B53⩨⫖↰⪸4348)⊘)⨸⪁(⫖↰⪸A0B∑⇟⊟⫖↰⪸A33⪄(⫖↰⪸951⫡⨏⫖↰⪸3A05))↬((∂⫖↰⪸27AB)⨰(⫖↰⪸151A⨎⫖↰⪸13B7))=NaN","reverse_text":"NaN=((↽≂⫖↰⪸2451)⇼⇔∾⫖↰⪸182B⪢⫖↰⪸7B9)↙((⫖↰⪸B53⩨⫖↰⪸4348)⊘)⨸⪁(⫖↰⪸A0B∑⇟⊟⫖↰⪸A33⪄(⫖↰⪸951⫡⨏⫖↰⪸3A05))↬((∂⫖↰⪸27AB)⨰(⫖↰⪸151A⨎⫖↰⪸13B7))","cot":[{"info":"↽≂⫖↰⪸2451=⫖↰⪸-48A2","layer":3},{"info":"⫖↰⪸182B⪢⫖↰⪸7B9=NaN","layer":3},{"info":"⫖↰⪸-48A2⇼⇔∾NaN=NaN","layer":2},{"info":"⫖↰⪸B53⩨⫖↰⪸4348=⫖↰⪸-10","layer":3},{"info":"⫖↰⪸-10⊘=⫖↰⪸0","layer":2},{"info":"NaN↙⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸A0B∑⇟⊟⫖↰⪸A33=NaN","layer":3},{"info":"⫖↰⪸951⫡⨏⫖↰⪸3A05=⫖↰⪸10076","layer":3},{"info":"NaN⪄⫖↰⪸10076=⫖↰⪸2377","layer":2},{"info":"∂⫖↰⪸27AB=NaN","layer":3},{"info":"⫖↰⪸151A⨎⫖↰⪸13B7=⫖↰⪸13B7","layer":3},{"info":"NaN⨰⫖↰⪸13B7=NaN","layer":2},{"info":"⫖↰⪸2377↬NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":79,"expression_no_base_symbol":"(($1391$⫥∨⫟$3909$)⨰$4545$⨓$2523$⪄(($4454$⪨≂$3711$)⊠≄⫣))⫥∨⫟((($6784$⨁⊸⫻)*(⨰⫟⨤$1104$))⊠≄⫣)","expression":"((⫖↰⪸97B⫥∨⫟⫖↰⪸2319)⨰⫖↰⪸2769⨓⫖↰⪸1563⪄((⫖↰⪸26B2⪨≂⫖↰⪸2193)⊠≄⫣))⫥∨⫟(((⫖↰⪸3B14⨁⊸⫻)*(⨰⫟⨤⫖↰⪸780))⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6454,"operation_count":11,"complexity_ratio":586.7272727272727,"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":1391,"base":12},"right_expr":{"type":"numeric_atoms","value":3909,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4545,"base":12},"right_expr":{"type":"numeric_atoms","value":2523,"base":12}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4454,"base":12},"right_expr":{"type":"numeric_atoms","value":3711,"base":12}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6784,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1104,"base":12}}}}},"used_operators":["KYD54nUTWz","SUmda5xLS4","eewbuw0ToL","3ViojmjbAp","DIvbN7qnHd","sdazOOVcIp","9HNa5Wba9A","glklzrTFfD","Tw270M8GLb"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1391","layer":4},{"info":"number node, value=3909","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=3909, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4545","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=4545, right_input=2523, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2526, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4454","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=3711, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1588","layer":3},{"info":"compute unary expreesion, input=1588, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=6784","layer":4},{"info":"compute unary expreesion, input=6784, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6784","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, 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=6784, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸97B⫥∨⫟⫖↰⪸2319)⨰⫖↰⪸2769⨓⫖↰⪸1563⪄((⫖↰⪸26B2⪨≂⫖↰⪸2193)⊠≄⫣))⫥∨⫟(((⫖↰⪸3B14⨁⊸⫻)*(⨰⫟⨤⫖↰⪸780))⊠≄⫣)=NaN","reverse_text":"NaN=((⫖↰⪸97B⫥∨⫟⫖↰⪸2319)⨰⫖↰⪸2769⨓⫖↰⪸1563⪄((⫖↰⪸26B2⪨≂⫖↰⪸2193)⊠≄⫣))⫥∨⫟(((⫖↰⪸3B14⨁⊸⫻)*(⨰⫟⨤⫖↰⪸780))⊠≄⫣)","cot":[{"info":"⫖↰⪸97B⫥∨⫟⫖↰⪸2319=NaN","layer":3},{"info":"⫖↰⪸2769⨓⫖↰⪸1563=⫖↰⪸-1566","layer":3},{"info":"NaN⨰⫖↰⪸-1566=NaN","layer":2},{"info":"⫖↰⪸26B2⪨≂⫖↰⪸2193=⫖↰⪸B04","layer":3},{"info":"⫖↰⪸B04⊠≄⫣=⫖↰⪸0","layer":2},{"info":"NaN⪄⫖↰⪸0=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸3B14⨁⊸⫻=⫖↰⪸3B14","layer":3},{"info":"⨰⫟⨤⫖↰⪸780=NaN","layer":3},{"info":"⫖↰⪸3B14*NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⫖↰⪸2377⫥∨⫟NaN=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"($5831$⊴$4103$⋷($2553$⪠⩆⊳)+($8734$⊉≛↸$7823$)⨟⋌⩍($5396$/$3059$))⊉≛↸((∥⊫($8039$⊉≛↸$5749$))⨸⪁(↯⪼$1678$)+⇶⊼(↥$3059$))","expression":"(⫖↰⪸345B⊴⫖↰⪸245B⋷(⫖↰⪸1589⪠⩆⊳)+(⫖↰⪸507A⊉≛↸⫖↰⪸463B)⨟⋌⩍(⫖↰⪸3158/⫖↰⪸192B))⊉≛↸((∥⊫(⫖↰⪸479B⊉≛↸⫖↰⪸33B1))⨸⪁(↯⪼⫖↰⪸B7A)+⇶⊼(↥⫖↰⪸192B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8861,"operation_count":14,"complexity_ratio":632.9285714285714,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5831,"base":12},"right_expr":{"type":"numeric_atoms","value":4103,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2553,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8734,"base":12},"right_expr":{"type":"numeric_atoms","value":7823,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5396,"base":12},"right_expr":{"type":"numeric_atoms","value":3059,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8039,"base":12},"right_expr":{"type":"numeric_atoms","value":5749,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1678,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3059,"base":12}}}}},"used_operators":["DZ8iAZOCBD","W4YGzv6Whe","23Mk6UjR3U","Nsiff2A1zJ","JLbD19bQDL","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","P8v4zCKN1o","TpPTUOHfaN","8jW3W4yZS5","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5831","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=4103, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2553","layer":4},{"info":"compute unary expreesion, input=2553, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=8734","layer":4},{"info":"number node, value=7823","layer":4},{"info":"compute binary expreesion, left_input=8734, right_input=7823, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17468","layer":3},{"info":"number node, value=5396","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=5396, right_input=3059, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=17468, right_input=1, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=8039","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=8039, right_input=5749, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16078","layer":3},{"info":"compute unary expreesion, input=16078, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=16946","layer":2},{"info":"number node, value=1678","layer":4},{"info":"compute unary expreesion, input=1678, 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=3059","layer":4},{"info":"compute unary expreesion, input=3059, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=50, 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=16946, 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 = 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":"(⫖↰⪸345B⊴⫖↰⪸245B⋷(⫖↰⪸1589⪠⩆⊳)+(⫖↰⪸507A⊉≛↸⫖↰⪸463B)⨟⋌⩍(⫖↰⪸3158/⫖↰⪸192B))⊉≛↸((∥⊫(⫖↰⪸479B⊉≛↸⫖↰⪸33B1))⨸⪁(↯⪼⫖↰⪸B7A)+⇶⊼(↥⫖↰⪸192B))=NaN","reverse_text":"NaN=(⫖↰⪸345B⊴⫖↰⪸245B⋷(⫖↰⪸1589⪠⩆⊳)+(⫖↰⪸507A⊉≛↸⫖↰⪸463B)⨟⋌⩍(⫖↰⪸3158/⫖↰⪸192B))⊉≛↸((∥⊫(⫖↰⪸479B⊉≛↸⫖↰⪸33B1))⨸⪁(↯⪼⫖↰⪸B7A)+⇶⊼(↥⫖↰⪸192B))","cot":[{"info":"⫖↰⪸345B⊴⫖↰⪸245B=NaN","layer":3},{"info":"⫖↰⪸1589⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"NaN⋷⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸507A⊉≛↸⫖↰⪸463B=⫖↰⪸A138","layer":3},{"info":"⫖↰⪸3158/⫖↰⪸192B=⫖↰⪸1","layer":3},{"info":"⫖↰⪸A138⨟⋌⩍⫖↰⪸1=⫖↰⪸0","layer":2},{"info":"NaN+⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸479B⊉≛↸⫖↰⪸33B1=⫖↰⪸937A","layer":3},{"info":"∥⊫⫖↰⪸937A=⫖↰⪸9982","layer":2},{"info":"↯⪼⫖↰⪸B7A=⫖↰⪸-19","layer":3},{"info":"↥⫖↰⪸192B=⫖↰⪸42","layer":3},{"info":"⫖↰⪸-19+⇶⊼⫖↰⪸42=NaN","layer":2},{"info":"⫖↰⪸9982⨸⪁NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"(($6907$⨳⩥⨓$1015$*$6844$⨪↰⇹$1924$)⨽(-($1594$⨵⪆$7536$)))⪮%⊝($7984$⨰$3020$≧⫂∧(↽≂$2152$)⫥∨⫟($3480$%$5818$)≧⫂∧($1034$⋓$7805$))","expression":"((⫖↰⪸3BB7⨳⩥⨓⫖↰⪸707*⫖↰⪸3B64⨪↰⇹⫖↰⪸1144)⨽(-(⫖↰⪸B0A⨵⪆⫖↰⪸4440)))⪮%⊝(⫖↰⪸4754⨰⫖↰⪸18B8≧⫂∧(↽≂⫖↰⪸12B4)⫥∨⫟(⫖↰⪸2020%⫖↰⪸344A)≧⫂∧(⫖↰⪸722⋓⫖↰⪸4625))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40337787,"operation_count":14,"complexity_ratio":2881270.5,"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":6907,"base":12},"right_expr":{"type":"numeric_atoms","value":1015,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6844,"base":12},"right_expr":{"type":"numeric_atoms","value":1924,"base":12}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1594,"base":12},"right_expr":{"type":"numeric_atoms","value":7536,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7984,"base":12},"right_expr":{"type":"numeric_atoms","value":3020,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2152,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3480,"base":12},"right_expr":{"type":"numeric_atoms","value":5818,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1034,"base":12},"right_expr":{"type":"numeric_atoms","value":7805,"base":12}}}}},"used_operators":["IWmyXbctLI","8HhzD0ZcuI","9HNa5Wba9A","nCS4ZIUYfx","tmPS8pqC7x","t8gj7n24qd","2DQ55sFlQl","KYD54nUTWz","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","k8jYdgA6NY","T2fj7uvVaJ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","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=6907","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=6907, right_input=1015, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5892","layer":3},{"info":"number node, value=6844","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=6844, right_input=1924, 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=6844","layer":3},{"info":"compute binary expreesion, left_input=-5892, right_input=6844, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-40324848","layer":2},{"info":"number node, value=1594","layer":4},{"info":"number node, value=7536","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=7536, 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 = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":2},{"info":"compute binary expreesion, left_input=-40324848, right_input=-160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=7984","layer":4},{"info":"number node, value=3020","layer":4},{"info":"compute binary expreesion, left_input=7984, right_input=3020, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4974","layer":3},{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4304","layer":3},{"info":"compute binary expreesion, left_input=4974, right_input=-4304, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9278","layer":2},{"info":"number node, value=3480","layer":4},{"info":"number node, value=5818","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=5818, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3480","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=7805","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=7805, 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=3480, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=9278, right_input=-473, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3BB7⨳⩥⨓⫖↰⪸707*⫖↰⪸3B64⨪↰⇹⫖↰⪸1144)⨽(-(⫖↰⪸B0A⨵⪆⫖↰⪸4440)))⪮%⊝(⫖↰⪸4754⨰⫖↰⪸18B8≧⫂∧(↽≂⫖↰⪸12B4)⫥∨⫟(⫖↰⪸2020%⫖↰⪸344A)≧⫂∧(⫖↰⪸722⋓⫖↰⪸4625))=NaN","reverse_text":"NaN=((⫖↰⪸3BB7⨳⩥⨓⫖↰⪸707*⫖↰⪸3B64⨪↰⇹⫖↰⪸1144)⨽(-(⫖↰⪸B0A⨵⪆⫖↰⪸4440)))⪮%⊝(⫖↰⪸4754⨰⫖↰⪸18B8≧⫂∧(↽≂⫖↰⪸12B4)⫥∨⫟(⫖↰⪸2020%⫖↰⪸344A)≧⫂∧(⫖↰⪸722⋓⫖↰⪸4625))","cot":[{"info":"⫖↰⪸3BB7⨳⩥⨓⫖↰⪸707=⫖↰⪸-34B0","layer":3},{"info":"⫖↰⪸3B64⨪↰⇹⫖↰⪸1144=⫖↰⪸3B64","layer":3},{"info":"⫖↰⪸-34B0*⫖↰⪸3B64=⫖↰⪸-11608180","layer":2},{"info":"⫖↰⪸B0A⨵⪆⫖↰⪸4440=⫖↰⪸114","layer":3},{"info":"-⫖↰⪸114=⫖↰⪸-114","layer":2},{"info":"⫖↰⪸-11608180⨽⫖↰⪸-114=-Inf","layer":1},{"info":"⫖↰⪸4754⨰⫖↰⪸18B8=⫖↰⪸2A66","layer":3},{"info":"↽≂⫖↰⪸12B4=⫖↰⪸-25A8","layer":3},{"info":"⫖↰⪸2A66≧⫂∧⫖↰⪸-25A8=⫖↰⪸5452","layer":2},{"info":"⫖↰⪸2020%⫖↰⪸344A=⫖↰⪸2020","layer":3},{"info":"⫖↰⪸722⋓⫖↰⪸4625=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2020≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸5452⫥∨⫟⫖↰⪸-335=NaN","layer":1},{"info":"-Inf⪮%⊝NaN=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"(((⊥$1072$)≧⫂∧($7971$-$6570$))∸)⩷∴(($1078$⨎$6602$)⊴($6638$+$1103$)+⇶⊼(↣≠⋷($2887$⨐⩸⫘$2560$)))","expression":"(((⊥⫖↰⪸754)≧⫂∧(⫖↰⪸4743-⫖↰⪸3976))∸)⩷∴((⫖↰⪸75A⨎⫖↰⪸39A2)⊴(⫖↰⪸3A12+⫖↰⪸77B)+⇶⊼(↣≠⋷(⫖↰⪸1807⨐⩸⫘⫖↰⪸1594)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7940,"operation_count":11,"complexity_ratio":721.8181818181819,"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":1072,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7971,"base":12},"right_expr":{"type":"numeric_atoms","value":6570,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1078,"base":12},"right_expr":{"type":"numeric_atoms","value":6602,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6638,"base":12},"right_expr":{"type":"numeric_atoms","value":1103,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2887,"base":12},"right_expr":{"type":"numeric_atoms","value":2560,"base":12}}}}},"used_operators":["9FxExcQeMw","o20kRiQErp","Ph9nP6C5qx","Q3PJZHRvZv","rysDP5nf3Z","TpPTUOHfaN","Nsiff2A1zJ","rJVOvQCfKK","W4YGzv6Whe","Asc51vEJeQ","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=7971","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=7971, right_input=6570, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1401","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1401, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=928","layer":2},{"info":"compute unary expreesion, input=928, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1078","layer":4},{"info":"number node, value=6602","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=6602, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6602","layer":3},{"info":"number node, value=6638","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=6638, right_input=1103, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7741","layer":3},{"info":"compute binary expreesion, left_input=6602, right_input=7741, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2887","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=2560, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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 = 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=177, 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":"(((⊥⫖↰⪸754)≧⫂∧(⫖↰⪸4743-⫖↰⪸3976))∸)⩷∴((⫖↰⪸75A⨎⫖↰⪸39A2)⊴(⫖↰⪸3A12+⫖↰⪸77B)+⇶⊼(↣≠⋷(⫖↰⪸1807⨐⩸⫘⫖↰⪸1594)))=NaN","reverse_text":"NaN=(((⊥⫖↰⪸754)≧⫂∧(⫖↰⪸4743-⫖↰⪸3976))∸)⩷∴((⫖↰⪸75A⨎⫖↰⪸39A2)⊴(⫖↰⪸3A12+⫖↰⪸77B)+⇶⊼(↣≠⋷(⫖↰⪸1807⨐⩸⫘⫖↰⪸1594)))","cot":[{"info":"⊥⫖↰⪸754=NaN","layer":3},{"info":"⫖↰⪸4743-⫖↰⪸3976=⫖↰⪸989","layer":3},{"info":"NaN≧⫂∧⫖↰⪸989=⫖↰⪸654","layer":2},{"info":"⫖↰⪸654∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸75A⨎⫖↰⪸39A2=⫖↰⪸39A2","layer":3},{"info":"⫖↰⪸3A12+⫖↰⪸77B=⫖↰⪸4591","layer":3},{"info":"⫖↰⪸39A2⊴⫖↰⪸4591=NaN","layer":2},{"info":"⫖↰⪸1807⨐⩸⫘⫖↰⪸1594=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸129⩷∴NaN=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"∥⊫((($4063$⪐)+$2361$↙$1376$)⊪)","expression":"∥⊫(((⫖↰⪸2427⪐)+⫖↰⪸1449↙⫖↰⪸968)⊪)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1419,"operation_count":5,"complexity_ratio":283.8,"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":4063,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2361,"base":12},"right_expr":{"type":"numeric_atoms","value":1376,"base":12}}}}},"used_operators":["P8v4zCKN1o","zVYPLywUTj","W4YGzv6Whe","eH2TOUuTDT","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸604","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4063","layer":4},{"info":"compute unary expreesion, input=4063, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8126","layer":3},{"info":"number node, value=2361","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=1376, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4128","layer":3},{"info":"compute binary expreesion, left_input=8126, right_input=-4128, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3998","layer":2},{"info":"compute unary expreesion, input=3998, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":0}],"base":12,"result_base":12,"text":"∥⊫(((⫖↰⪸2427⪐)+⫖↰⪸1449↙⫖↰⪸968)⊪)=⫖↰⪸604","reverse_text":"⫖↰⪸604=∥⊫(((⫖↰⪸2427⪐)+⫖↰⪸1449↙⫖↰⪸968)⊪)","cot":[{"info":"⫖↰⪸2427⪐=⫖↰⪸4852","layer":3},{"info":"⫖↰⪸1449↙⫖↰⪸968=⫖↰⪸-2480","layer":3},{"info":"⫖↰⪸4852+⫖↰⪸-2480=⫖↰⪸2392","layer":2},{"info":"⫖↰⪸2392⊪=⫖↰⪸0","layer":1},{"info":"∥⊫⫖↰⪸0=⫖↰⪸604","layer":0}]}
{"id":84,"expression_no_base_symbol":"(($1311$⋓$6835$)≹⇙⪍(⫓⪴$1201$)≧⫂∧(($2239$⨽$3212$)⋥≓≎($1141$%$6031$)))⇷((∂($1225$⊭∹↮))≭($3626$⫡⨏$3787$)≹⇙⪍($4750$⪨≂$1417$))","expression":"((⫖↰⪸913⋓⫖↰⪸3B57)≹⇙⪍(⫓⪴⫖↰⪸841)≧⫂∧((⫖↰⪸1367⨽⫖↰⪸1A38)⋥≓≎(⫖↰⪸7B1%⫖↰⪸35A7)))⇷((∂(⫖↰⪸861⊭∹↮))≭(⫖↰⪸2122⫡⨏⫖↰⪸2237)≹⇙⪍(⫖↰⪸28BA⪨≂⫖↰⪸9A1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9178,"operation_count":14,"complexity_ratio":655.5714285714286,"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":1311,"base":12},"right_expr":{"type":"numeric_atoms","value":6835,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1201,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2239,"base":12},"right_expr":{"type":"numeric_atoms","value":3212,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1141,"base":12},"right_expr":{"type":"numeric_atoms","value":6031,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∂","unary_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":3626,"base":12},"right_expr":{"type":"numeric_atoms","value":3787,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4750,"base":12},"right_expr":{"type":"numeric_atoms","value":1417,"base":12}}}}},"used_operators":["mp7IySMOzn","Ph9nP6C5qx","AHs5Up7iyr","T2fj7uvVaJ","eLxqMNBOBk","Qy55tPpLXF","8HhzD0ZcuI","k8jYdgA6NY","rxpJgHHUmx","Uaa54Peajs","xNBdhnnwKq","QMFrweE19q","sdazOOVcIp"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":4},{"info":"number node, value=6835","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=6835, 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=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1442401","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1442401, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2239","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=3212, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15047685","layer":3},{"info":"number node, value=1141","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=6031, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1141","layer":3},{"info":"compute binary expreesion, left_input=-15047685, right_input=1141, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":1},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2450","layer":3},{"info":"compute unary expreesion, input=2450, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=3626","layer":4},{"info":"number node, value=3787","layer":4},{"info":"compute binary expreesion, left_input=3626, right_input=3787, 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=26487","layer":3},{"info":"number node, value=4750","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=4750, right_input=1417, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6768","layer":3},{"info":"compute binary expreesion, left_input=26487, right_input=6768, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-406, 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":"((⫖↰⪸913⋓⫖↰⪸3B57)≹⇙⪍(⫓⪴⫖↰⪸841)≧⫂∧((⫖↰⪸1367⨽⫖↰⪸1A38)⋥≓≎(⫖↰⪸7B1%⫖↰⪸35A7)))⇷((∂(⫖↰⪸861⊭∹↮))≭(⫖↰⪸2122⫡⨏⫖↰⪸2237)≹⇙⪍(⫖↰⪸28BA⪨≂⫖↰⪸9A1))=NaN","reverse_text":"NaN=((⫖↰⪸913⋓⫖↰⪸3B57)≹⇙⪍(⫓⪴⫖↰⪸841)≧⫂∧((⫖↰⪸1367⨽⫖↰⪸1A38)⋥≓≎(⫖↰⪸7B1%⫖↰⪸35A7)))⇷((∂(⫖↰⪸861⊭∹↮))≭(⫖↰⪸2122⫡⨏⫖↰⪸2237)≹⇙⪍(⫖↰⪸28BA⪨≂⫖↰⪸9A1))","cot":[{"info":"⫖↰⪸913⋓⫖↰⪸3B57=⫖↰⪸0","layer":3},{"info":"⫓⪴⫖↰⪸841=⫖↰⪸596881","layer":3},{"info":"⫖↰⪸0≹⇙⪍⫖↰⪸596881=NaN","layer":2},{"info":"⫖↰⪸1367⨽⫖↰⪸1A38=⫖↰⪸-5058199","layer":3},{"info":"⫖↰⪸7B1%⫖↰⪸35A7=⫖↰⪸7B1","layer":3},{"info":"⫖↰⪸-5058199⋥≓≎⫖↰⪸7B1=⫖↰⪸57","layer":2},{"info":"NaN≧⫂∧⫖↰⪸57=⫖↰⪸-29A","layer":1},{"info":"⫖↰⪸861⊭∹↮=⫖↰⪸1502","layer":3},{"info":"∂⫖↰⪸1502=NaN","layer":2},{"info":"⫖↰⪸2122⫡⨏⫖↰⪸2237=⫖↰⪸133B3","layer":3},{"info":"⫖↰⪸28BA⪨≂⫖↰⪸9A1=⫖↰⪸3B00","layer":3},{"info":"⫖↰⪸133B3≹⇙⪍⫖↰⪸3B00=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⫖↰⪸-29A⇷NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"(((≉$5320$)/$1871$↬$5597$)⨳⩥⨓(($4228$⊠≄⫣)⇋≉))⪠⩆⊳","expression":"(((≉⫖↰⪸30B4)/⫖↰⪸10BB↬⫖↰⪸32A5)⨳⩥⨓((⫖↰⪸2544⊠≄⫣)⇋≉))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19,"operation_count":7,"complexity_ratio":2.7142857142857144,"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":5320,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1871,"base":12},"right_expr":{"type":"numeric_atoms","value":5597,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4228,"base":12}}}}},"used_operators":["JLbD19bQDL","nCS4ZIUYfx","XhwjNDsVaA","e1ybzncUwg","B5M0gjZbta","XIabStNQrY","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5320","layer":4},{"info":"compute unary expreesion, input=5320, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5851","layer":3},{"info":"number node, value=1871","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=5597, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5851, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4228","layer":4},{"info":"compute unary expreesion, input=4228, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-98, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":"(((≉⫖↰⪸30B4)/⫖↰⪸10BB↬⫖↰⪸32A5)⨳⩥⨓((⫖↰⪸2544⊠≄⫣)⇋≉))⪠⩆⊳=NaN","reverse_text":"NaN=(((≉⫖↰⪸30B4)/⫖↰⪸10BB↬⫖↰⪸32A5)⨳⩥⨓((⫖↰⪸2544⊠≄⫣)⇋≉))⪠⩆⊳","cot":[{"info":"≉⫖↰⪸30B4=⫖↰⪸3477","layer":3},{"info":"⫖↰⪸10BB↬⫖↰⪸32A5=NaN","layer":3},{"info":"⫖↰⪸3477/NaN=NaN","layer":2},{"info":"⫖↰⪸2544⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-82=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"(($2305$≭$4833$)⨰($5079$↛⩡⫤)⨐⩸⫘($3460$⩚⊴⇥$1282$+(∥⊫$1723$)))⫥∨⫟((-(⫓⪴$3503$))⫥∨⫟($2572$⊭∹↮)⪛($1173$∑⇟⊟$5633$))","expression":"((⫖↰⪸1401≭⫖↰⪸2969)⨰(⫖↰⪸2B33↛⩡⫤)⨐⩸⫘(⫖↰⪸2004⩚⊴⇥⫖↰⪸8AA+(∥⊫⫖↰⪸BB7)))⫥∨⫟((-(⫓⪴⫖↰⪸203B))⫥∨⫟(⫖↰⪸15A4⊭∹↮)⪛(⫖↰⪸819∑⇟⊟⫖↰⪸3315))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19210,"operation_count":14,"complexity_ratio":1372.142857142857,"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":2305,"base":12},"right_expr":{"type":"numeric_atoms","value":4833,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5079,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3460,"base":12},"right_expr":{"type":"numeric_atoms","value":1282,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1723,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"-","unary_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":"numeric_atoms","value":2572,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1173,"base":12},"right_expr":{"type":"numeric_atoms","value":5633,"base":12}}}}},"used_operators":["KYD54nUTWz","fu6greOZ01","eewbuw0ToL","rxpJgHHUmx","FU0Cs4j7VP","W4YGzv6Whe","NTOWxs364D","P8v4zCKN1o","t8gj7n24qd","eLxqMNBOBk","uFcxV4UQCh","xNBdhnnwKq","U7g4x0WXJJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=4833, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5079","layer":4},{"info":"compute unary expreesion, input=5079, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-763018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-763018, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=3460","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3460, right_input=1282, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4863","layer":3},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2591","layer":3},{"info":"compute binary expreesion, left_input=-4863, right_input=2591, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2272","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2272, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12271009","layer":3},{"info":"compute unary expreesion, input=12271009, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-12271009","layer":2},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5144","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=5633, 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=5144, 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=-12271009, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1401≭⫖↰⪸2969)⨰(⫖↰⪸2B33↛⩡⫤)⨐⩸⫘(⫖↰⪸2004⩚⊴⇥⫖↰⪸8AA+(∥⊫⫖↰⪸BB7)))⫥∨⫟((-(⫓⪴⫖↰⪸203B))⫥∨⫟(⫖↰⪸15A4⊭∹↮)⪛(⫖↰⪸819∑⇟⊟⫖↰⪸3315))=NaN","reverse_text":"NaN=((⫖↰⪸1401≭⫖↰⪸2969)⨰(⫖↰⪸2B33↛⩡⫤)⨐⩸⫘(⫖↰⪸2004⩚⊴⇥⫖↰⪸8AA+(∥⊫⫖↰⪸BB7)))⫥∨⫟((-(⫓⪴⫖↰⪸203B))⫥∨⫟(⫖↰⪸15A4⊭∹↮)⪛(⫖↰⪸819∑⇟⊟⫖↰⪸3315))","cot":[{"info":"⫖↰⪸1401≭⫖↰⪸2969=NaN","layer":3},{"info":"⫖↰⪸2B33↛⩡⫤=⫖↰⪸-30968A","layer":3},{"info":"NaN⨰⫖↰⪸-30968A=NaN","layer":2},{"info":"⫖↰⪸2004⩚⊴⇥⫖↰⪸8AA=⫖↰⪸-2993","layer":3},{"info":"∥⊫⫖↰⪸BB7=⫖↰⪸15BB","layer":3},{"info":"⫖↰⪸-2993+⫖↰⪸15BB=⫖↰⪸-1394","layer":2},{"info":"NaN⨐⩸⫘⫖↰⪸-1394=NaN","layer":1},{"info":"⫓⪴⫖↰⪸203B=⫖↰⪸4139341","layer":3},{"info":"-⫖↰⪸4139341=⫖↰⪸-4139341","layer":2},{"info":"⫖↰⪸15A4⊭∹↮=⫖↰⪸2B88","layer":3},{"info":"⫖↰⪸819∑⇟⊟⫖↰⪸3315=NaN","layer":3},{"info":"⫖↰⪸2B88⪛NaN=NaN","layer":2},{"info":"⫖↰⪸-4139341⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"⊙↵-(≤/($2509$↬$1598$⩨(≤/$1335$)))","expression":"⊙↵-(≤/(⫖↰⪸1551↬⫖↰⪸B12⩨(≤/⫖↰⪸933)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":34,"operation_count":5,"complexity_ratio":6.8,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2509,"base":12},"right_expr":{"type":"numeric_atoms","value":1598,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1335,"base":12}}}}},"used_operators":["oWn0xqSxBt","eLAdDNolq6","2DlMacCsIx","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1598, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1335","layer":4},{"info":"compute unary expreesion, input=1335, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-851","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-851, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(≤/(⫖↰⪸1551↬⫖↰⪸B12⩨(≤/⫖↰⪸933)))=NaN","reverse_text":"NaN=⊙↵-(≤/(⫖↰⪸1551↬⫖↰⪸B12⩨(≤/⫖↰⪸933)))","cot":[{"info":"⫖↰⪸1551↬⫖↰⪸B12=NaN","layer":3},{"info":"≤/⫖↰⪸933=⫖↰⪸-5AB","layer":3},{"info":"NaN⩨⫖↰⪸-5AB=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"(↩$5169$⨳⩥⨓$1984$)⪄(⊙↵-$2652$)⫸⊐($1350$*$1536$)⩨(($2166$⊭↱$1623$)⪛(↔$1739$)⩨($4577$≧⫂∧$1125$⋷$1197$⋝⋈⪟$2310$))","expression":"(↩⫖↰⪸2BA9⨳⩥⨓⫖↰⪸1194)⪄(⊙↵-⫖↰⪸1650)⫸⊐(⫖↰⪸946*⫖↰⪸A80)⩨((⫖↰⪸1306⊭↱⫖↰⪸B33)⪛(↔⫖↰⪸100B)⩨(⫖↰⪸2795≧⫂∧⫖↰⪸799⋷⫖↰⪸839⋝⋈⪟⫖↰⪸1406))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4202,"operation_count":14,"complexity_ratio":300.14285714285717,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5169,"base":12},"right_expr":{"type":"numeric_atoms","value":1984,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2652,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1350,"base":12},"right_expr":{"type":"numeric_atoms","value":1536,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2166,"base":12},"right_expr":{"type":"numeric_atoms","value":1623,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1739,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4577,"base":12},"right_expr":{"type":"numeric_atoms","value":1125,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1197,"base":12},"right_expr":{"type":"numeric_atoms","value":2310,"base":12}}}}},"used_operators":["2DlMacCsIx","SUmda5xLS4","jLgFTUHLKL","nCS4ZIUYfx","mqXw5SEYmG","oWn0xqSxBt","9HNa5Wba9A","uFcxV4UQCh","COABgblf1C","ruOEQAzv1W","23Mk6UjR3U","Ph9nP6C5qx","2DDjHMKMc0"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5169","layer":4},{"info":"number node, value=1984","layer":4},{"info":"compute binary expreesion, left_input=5169, right_input=1984, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3185","layer":3},{"info":"compute unary expreesion, input=-3185, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=15360","layer":2},{"info":"number node, value=2652","layer":4},{"info":"compute unary expreesion, input=2652, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1350","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=1536, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2073600","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2073600, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=483","layer":2},{"info":"compute binary expreesion, left_input=15360, right_input=483, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2271301","layer":1},{"info":"number node, value=2166","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=1623, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1081","layer":3},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1466","layer":3},{"info":"compute binary expreesion, left_input=-1081, right_input=-1466, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1081","layer":2},{"info":"number node, value=4577","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=4577, right_input=1125, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=652","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=2310, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1197","layer":3},{"info":"compute binary expreesion, left_input=652, right_input=1197, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1742","layer":2},{"info":"compute binary expreesion, left_input=-1081, right_input=1742, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":1},{"info":"compute binary expreesion, left_input=-2271301, right_input=6, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":12,"result_base":12,"text":"(↩⫖↰⪸2BA9⨳⩥⨓⫖↰⪸1194)⪄(⊙↵-⫖↰⪸1650)⫸⊐(⫖↰⪸946*⫖↰⪸A80)⩨((⫖↰⪸1306⊭↱⫖↰⪸B33)⪛(↔⫖↰⪸100B)⩨(⫖↰⪸2795≧⫂∧⫖↰⪸799⋷⫖↰⪸839⋝⋈⪟⫖↰⪸1406))=⫖↰⪸3","reverse_text":"⫖↰⪸3=(↩⫖↰⪸2BA9⨳⩥⨓⫖↰⪸1194)⪄(⊙↵-⫖↰⪸1650)⫸⊐(⫖↰⪸946*⫖↰⪸A80)⩨((⫖↰⪸1306⊭↱⫖↰⪸B33)⪛(↔⫖↰⪸100B)⩨(⫖↰⪸2795≧⫂∧⫖↰⪸799⋷⫖↰⪸839⋝⋈⪟⫖↰⪸1406))","cot":[{"info":"⫖↰⪸2BA9⨳⩥⨓⫖↰⪸1194=⫖↰⪸-1A15","layer":3},{"info":"↩⫖↰⪸-1A15=⫖↰⪸8A80","layer":2},{"info":"⊙↵-⫖↰⪸1650=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸946*⫖↰⪸A80=⫖↰⪸840000","layer":3},{"info":"⫖↰⪸-1⫸⊐⫖↰⪸840000=⫖↰⪸343","layer":2},{"info":"⫖↰⪸8A80⪄⫖↰⪸343=⫖↰⪸-9164B1","layer":1},{"info":"⫖↰⪸1306⊭↱⫖↰⪸B33=⫖↰⪸-761","layer":3},{"info":"↔⫖↰⪸100B=⫖↰⪸-A22","layer":3},{"info":"⫖↰⪸-761⪛⫖↰⪸-A22=⫖↰⪸-761","layer":2},{"info":"⫖↰⪸2795≧⫂∧⫖↰⪸799=⫖↰⪸464","layer":3},{"info":"⫖↰⪸839⋝⋈⪟⫖↰⪸1406=⫖↰⪸839","layer":3},{"info":"⫖↰⪸464⋷⫖↰⪸839=⫖↰⪸1012","layer":2},{"info":"⫖↰⪸-761⩨⫖↰⪸1012=⫖↰⪸6","layer":1},{"info":"⫖↰⪸-9164B1⩨⫖↰⪸6=⫖↰⪸3","layer":0}]}
{"id":89,"expression_no_base_symbol":"(($7629$⇼⇔∾$5940$)⪘⫢($3303$⊦⊿)⩨($2820$↪⪝)≹⇙⪍(⩦⩻⨪$2015$))⪘⫢(($3673$∲⫓$4129$)⪮%⊝($1915$⋷$4458$)⊉≛↸(↥($3531$⫡⨏$3147$)))","expression":"((⫖↰⪸44B9⇼⇔∾⫖↰⪸3530)⪘⫢(⫖↰⪸1AB3⊦⊿)⩨(⫖↰⪸1770↪⪝)≹⇙⪍(⩦⩻⨪⫖↰⪸11BB))⪘⫢((⫖↰⪸2161∲⫓⫖↰⪸2481)⪮%⊝(⫖↰⪸1137⋷⫖↰⪸26B6)⊉≛↸(↥(⫖↰⪸2063⫡⨏⫖↰⪸19A3)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1241,"operation_count":14,"complexity_ratio":88.64285714285714,"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":7629,"base":12},"right_expr":{"type":"numeric_atoms","value":5940,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3303,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2820,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2015,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3673,"base":12},"right_expr":{"type":"numeric_atoms","value":4129,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1915,"base":12},"right_expr":{"type":"numeric_atoms","value":4458,"base":12}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3531,"base":12},"right_expr":{"type":"numeric_atoms","value":3147,"base":12}}}}},"used_operators":["oacrs7FA3X","2DlMacCsIx","tifHPKVTfV","14qkJME0vr","AHs5Up7iyr","l07mrZUIn9","2td37pGCOC","DZ8iAZOCBD","IWmyXbctLI","i8ToyICDmI","23Mk6UjR3U","A8NUZmVepG","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7629","layer":4},{"info":"number node, value=5940","layer":4},{"info":"compute binary expreesion, left_input=7629, right_input=5940, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1689","layer":3},{"info":"number node, value=3303","layer":4},{"info":"compute unary expreesion, input=3303, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9988","layer":3},{"info":"compute binary expreesion, left_input=-1689, right_input=-9988, 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=2820","layer":4},{"info":"compute unary expreesion, input=2820, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=172533240","layer":3},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2015","layer":3},{"info":"compute binary expreesion, left_input=172533240, right_input=2015, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-1, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=3673","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3673, right_input=4129, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=4458","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=4458, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7001","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7001, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"number node, value=3531","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=3531, right_input=3147, 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=24732","layer":3},{"info":"compute unary expreesion, input=24732, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":2},{"info":"compute binary expreesion, left_input=316, right_input=48, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=632","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=632, 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":"((⫖↰⪸44B9⇼⇔∾⫖↰⪸3530)⪘⫢(⫖↰⪸1AB3⊦⊿)⩨(⫖↰⪸1770↪⪝)≹⇙⪍(⩦⩻⨪⫖↰⪸11BB))⪘⫢((⫖↰⪸2161∲⫓⫖↰⪸2481)⪮%⊝(⫖↰⪸1137⋷⫖↰⪸26B6)⊉≛↸(↥(⫖↰⪸2063⫡⨏⫖↰⪸19A3)))=NaN","reverse_text":"NaN=((⫖↰⪸44B9⇼⇔∾⫖↰⪸3530)⪘⫢(⫖↰⪸1AB3⊦⊿)⩨(⫖↰⪸1770↪⪝)≹⇙⪍(⩦⩻⨪⫖↰⪸11BB))⪘⫢((⫖↰⪸2161∲⫓⫖↰⪸2481)⪮%⊝(⫖↰⪸1137⋷⫖↰⪸26B6)⊉≛↸(↥(⫖↰⪸2063⫡⨏⫖↰⪸19A3)))","cot":[{"info":"⫖↰⪸44B9⇼⇔∾⫖↰⪸3530=⫖↰⪸-B89","layer":3},{"info":"⫖↰⪸1AB3⊦⊿=⫖↰⪸-5944","layer":3},{"info":"⫖↰⪸-B89⪘⫢⫖↰⪸-5944=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸1770↪⪝=⫖↰⪸49945760","layer":3},{"info":"⩦⩻⨪⫖↰⪸11BB=⫖↰⪸11BB","layer":3},{"info":"⫖↰⪸49945760≹⇙⪍⫖↰⪸11BB=NaN","layer":2},{"info":"⫖↰⪸-1⩨NaN=NaN","layer":1},{"info":"⫖↰⪸2161∲⫓⫖↰⪸2481=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1137⋷⫖↰⪸26B6=⫖↰⪸4075","layer":3},{"info":"⫖↰⪸0⪮%⊝⫖↰⪸4075=⫖↰⪸224","layer":2},{"info":"⫖↰⪸2063⫡⨏⫖↰⪸19A3=⫖↰⪸12390","layer":3},{"info":"↥⫖↰⪸12390=⫖↰⪸40","layer":2},{"info":"⫖↰⪸224⊉≛↸⫖↰⪸40=⫖↰⪸448","layer":1},{"info":"NaN⪘⫢⫖↰⪸448=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"($2682$↙$1162$⋷($2419$⫡⨏$6522$))↙($4879$⫩⊇)∀⇚≩(∥⊫$1073$)⨵⪆($1948$⊉≛↸$4412$*$1026$⩷∴$9793$⫡⨏(⇁⨣⪵$1181$)*$1890$∑⇟⊟$2755$)","expression":"(⫖↰⪸1676↙⫖↰⪸80A⋷(⫖↰⪸1497⫡⨏⫖↰⪸3936))↙(⫖↰⪸29A7⫩⊇)∀⇚≩(∥⊫⫖↰⪸755)⨵⪆(⫖↰⪸1164⊉≛↸⫖↰⪸2678*⫖↰⪸716⩷∴⫖↰⪸5801⫡⨏(⇁⨣⪵⫖↰⪸825)*⫖↰⪸1116∑⇟⊟⫖↰⪸1717)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38958,"operation_count":15,"complexity_ratio":2597.2,"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":2682,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2419,"base":12},"right_expr":{"type":"numeric_atoms","value":6522,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4879,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1073,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1948,"base":12},"right_expr":{"type":"numeric_atoms","value":4412,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1026,"base":12},"right_expr":{"type":"numeric_atoms","value":9793,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1181,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1890,"base":12},"right_expr":{"type":"numeric_atoms","value":2755,"base":12}}}}},"used_operators":["2DQ55sFlQl","yyfyN0ffXY","23Mk6UjR3U","QMFrweE19q","LRNGc0VcxI","BjRHVeLaeN","P8v4zCKN1o","9HNa5Wba9A","DZ8iAZOCBD","9FxExcQeMw","inkyxCbjAn","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2682","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=2682, right_input=1162, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3486","layer":3},{"info":"number node, value=2419","layer":4},{"info":"number node, value=6522","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=6522, 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=25922","layer":3},{"info":"compute binary expreesion, left_input=-3486, right_input=25922, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6972","layer":2},{"info":"number node, value=4879","layer":4},{"info":"compute unary expreesion, input=4879, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4837","layer":3},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1941","layer":3},{"info":"compute binary expreesion, left_input=-4837, right_input=1941, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6972, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1948","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=4412, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3896","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=9793","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=9793, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-17566","layer":3},{"info":"compute binary expreesion, left_input=3896, right_input=-17566, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-68437136","layer":2},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1890","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=2755, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-68437136, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1676↙⫖↰⪸80A⋷(⫖↰⪸1497⫡⨏⫖↰⪸3936))↙(⫖↰⪸29A7⫩⊇)∀⇚≩(∥⊫⫖↰⪸755)⨵⪆(⫖↰⪸1164⊉≛↸⫖↰⪸2678*⫖↰⪸716⩷∴⫖↰⪸5801⫡⨏(⇁⨣⪵⫖↰⪸825)*⫖↰⪸1116∑⇟⊟⫖↰⪸1717)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1676↙⫖↰⪸80A⋷(⫖↰⪸1497⫡⨏⫖↰⪸3936))↙(⫖↰⪸29A7⫩⊇)∀⇚≩(∥⊫⫖↰⪸755)⨵⪆(⫖↰⪸1164⊉≛↸⫖↰⪸2678*⫖↰⪸716⩷∴⫖↰⪸5801⫡⨏(⇁⨣⪵⫖↰⪸825)*⫖↰⪸1116∑⇟⊟⫖↰⪸1717)","cot":[{"info":"⫖↰⪸1676↙⫖↰⪸80A=⫖↰⪸-2026","layer":3},{"info":"⫖↰⪸1497⫡⨏⫖↰⪸3936=⫖↰⪸13002","layer":3},{"info":"⫖↰⪸-2026⋷⫖↰⪸13002=⫖↰⪸4050","layer":2},{"info":"⫖↰⪸29A7⫩⊇=⫖↰⪸-2971","layer":3},{"info":"∥⊫⫖↰⪸755=⫖↰⪸1159","layer":3},{"info":"⫖↰⪸-2971∀⇚≩⫖↰⪸1159=NaN","layer":2},{"info":"⫖↰⪸4050↙NaN=NaN","layer":1},{"info":"⫖↰⪸1164⊉≛↸⫖↰⪸2678=⫖↰⪸2308","layer":3},{"info":"⫖↰⪸716⩷∴⫖↰⪸5801=⫖↰⪸-A1BA","layer":3},{"info":"⫖↰⪸2308*⫖↰⪸-A1BA=⫖↰⪸-1AB049A8","layer":2},{"info":"⇁⨣⪵⫖↰⪸825=NaN","layer":3},{"info":"⫖↰⪸1116∑⇟⊟⫖↰⪸1717=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⫖↰⪸-1AB049A8⫡⨏NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":91,"expression_no_base_symbol":"((⫛⫱⨽$1688$)∲⫓$2147$⇼⇔∾$5393$)≭(⋗⩬⋾$1461$)⪮%⊝($3159$⋳⪒$1337$)∲⫓($1042$≧⫂∧$2333$)⪢($3340$⋥≓≎$2469$)⨳⩥⨓(⊥(↔$3325$))","expression":"((⫛⫱⨽⫖↰⪸B88)∲⫓⫖↰⪸12AB⇼⇔∾⫖↰⪸3155)≭(⋗⩬⋾⫖↰⪸A19)⪮%⊝(⫖↰⪸19B3⋳⪒⫖↰⪸935)∲⫓(⫖↰⪸72A≧⫂∧⫖↰⪸1425)⪢(⫖↰⪸1B24⋥≓≎⫖↰⪸1519)⨳⩥⨓(⊥(↔⫖↰⪸1B11))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3321,"operation_count":14,"complexity_ratio":237.21428571428572,"tree":{"type":"binary","operator":"∲⫓","left_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":2147,"base":12},"right_expr":{"type":"numeric_atoms","value":5393,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1461,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3159,"base":12},"right_expr":{"type":"numeric_atoms","value":1337,"base":12}}}},"right_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":2333,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3340,"base":12},"right_expr":{"type":"numeric_atoms","value":2469,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3325,"base":12}}}}},"used_operators":["i8ToyICDmI","rxpJgHHUmx","DlLNRPXxWL","tifHPKVTfV","IWmyXbctLI","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","dWAJyo7jo9","Ph9nP6C5qx","Qy55tPpLXF","Q3PJZHRvZv","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2147","layer":4},{"info":"number node, value=5393","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=5393, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3246","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3246, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1461","layer":4},{"info":"compute unary expreesion, input=1461, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4383","layer":3},{"info":"number node, value=3159","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3159, right_input=1337, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4694","layer":3},{"info":"compute binary expreesion, left_input=-4383, right_input=4694, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8450","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8450, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1042","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2333, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1860","layer":3},{"info":"number node, value=3340","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=2469, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1631","layer":3},{"info":"compute binary expreesion, left_input=1860, right_input=1631, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=3325","layer":4},{"info":"compute unary expreesion, input=3325, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3052","layer":3},{"info":"compute unary expreesion, input=-3052, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫛⫱⨽⫖↰⪸B88)∲⫓⫖↰⪸12AB⇼⇔∾⫖↰⪸3155)≭(⋗⩬⋾⫖↰⪸A19)⪮%⊝(⫖↰⪸19B3⋳⪒⫖↰⪸935)∲⫓(⫖↰⪸72A≧⫂∧⫖↰⪸1425)⪢(⫖↰⪸1B24⋥≓≎⫖↰⪸1519)⨳⩥⨓(⊥(↔⫖↰⪸1B11))=NaN","reverse_text":"NaN=((⫛⫱⨽⫖↰⪸B88)∲⫓⫖↰⪸12AB⇼⇔∾⫖↰⪸3155)≭(⋗⩬⋾⫖↰⪸A19)⪮%⊝(⫖↰⪸19B3⋳⪒⫖↰⪸935)∲⫓(⫖↰⪸72A≧⫂∧⫖↰⪸1425)⪢(⫖↰⪸1B24⋥≓≎⫖↰⪸1519)⨳⩥⨓(⊥(↔⫖↰⪸1B11))","cot":[{"info":"⫛⫱⨽⫖↰⪸B88=⫖↰⪸0","layer":3},{"info":"⫖↰⪸12AB⇼⇔∾⫖↰⪸3155=⫖↰⪸1A66","layer":3},{"info":"⫖↰⪸0∲⫓⫖↰⪸1A66=⫖↰⪸0","layer":2},{"info":"⋗⩬⋾⫖↰⪸A19=⫖↰⪸-2653","layer":3},{"info":"⫖↰⪸19B3⋳⪒⫖↰⪸935=⫖↰⪸2872","layer":3},{"info":"⫖↰⪸-2653⪮%⊝⫖↰⪸2872=⫖↰⪸-4A82","layer":2},{"info":"⫖↰⪸0≭⫖↰⪸-4A82=NaN","layer":1},{"info":"⫖↰⪸72A≧⫂∧⫖↰⪸1425=⫖↰⪸10B0","layer":3},{"info":"⫖↰⪸1B24⋥≓≎⫖↰⪸1519=⫖↰⪸B3B","layer":3},{"info":"⫖↰⪸10B0⪢⫖↰⪸B3B=NaN","layer":2},{"info":"↔⫖↰⪸1B11=⫖↰⪸-1924","layer":3},{"info":"⊥⫖↰⪸-1924=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":92,"expression_no_base_symbol":"(((⨞⊢$6555$)+(⫓⪴$3655$))∀⇚≩($3055$⨐⩸⫘$1257$⨳⩥⨓($1586$⪒$2526$)))⪘⫢(+⊝⨔(($4608$↛⩡⫤)*($4017$⩨$1016$)))","expression":"(((⨞⊢⫖↰⪸3963)+(⫓⪴⫖↰⪸2147))∀⇚≩(⫖↰⪸1927⨐⩸⫘⫖↰⪸889⨳⩥⨓(⫖↰⪸B02⪒⫖↰⪸1566)))⪘⫢(+⊝⨔((⫖↰⪸2800↛⩡⫤)*(⫖↰⪸23A9⩨⫖↰⪸708)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17658,"operation_count":12,"complexity_ratio":1471.5,"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":6555,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3655,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3055,"base":12},"right_expr":{"type":"numeric_atoms","value":1257,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1586,"base":12},"right_expr":{"type":"numeric_atoms","value":2526,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4608,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4017,"base":12},"right_expr":{"type":"numeric_atoms","value":1016,"base":12}}}}},"used_operators":["oacrs7FA3X","LRNGc0VcxI","W4YGzv6Whe","xUOZtlo3hN","eLxqMNBOBk","nCS4ZIUYfx","fu6greOZ01","f6k1SAg4EE","DhbWaqg5eL","9HNa5Wba9A","FU0Cs4j7VP","2DlMacCsIx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6555","layer":4},{"info":"compute unary expreesion, input=6555, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6729","layer":3},{"info":"number node, value=3655","layer":4},{"info":"compute unary expreesion, input=3655, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13359025","layer":3},{"info":"compute binary expreesion, left_input=-6729, right_input=13359025, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13352296","layer":2},{"info":"number node, value=3055","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=3055, right_input=1257, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1586","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=2526, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4112","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4112, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13352296, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4608","layer":4},{"info":"compute unary expreesion, input=4608, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-691897","layer":3},{"info":"number node, value=4017","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=1016, 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=-691897, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⨞⊢⫖↰⪸3963)+(⫓⪴⫖↰⪸2147))∀⇚≩(⫖↰⪸1927⨐⩸⫘⫖↰⪸889⨳⩥⨓(⫖↰⪸B02⪒⫖↰⪸1566)))⪘⫢(+⊝⨔((⫖↰⪸2800↛⩡⫤)*(⫖↰⪸23A9⩨⫖↰⪸708)))=NaN","reverse_text":"NaN=(((⨞⊢⫖↰⪸3963)+(⫓⪴⫖↰⪸2147))∀⇚≩(⫖↰⪸1927⨐⩸⫘⫖↰⪸889⨳⩥⨓(⫖↰⪸B02⪒⫖↰⪸1566)))⪘⫢(+⊝⨔((⫖↰⪸2800↛⩡⫤)*(⫖↰⪸23A9⩨⫖↰⪸708)))","cot":[{"info":"⨞⊢⫖↰⪸3963=⫖↰⪸-3A89","layer":3},{"info":"⫓⪴⫖↰⪸2147=⫖↰⪸4582B01","layer":3},{"info":"⫖↰⪸-3A89+⫖↰⪸4582B01=⫖↰⪸457B034","layer":2},{"info":"⫖↰⪸1927⨐⩸⫘⫖↰⪸889=NaN","layer":3},{"info":"⫖↰⪸B02⪒⫖↰⪸1566=⫖↰⪸-2468","layer":3},{"info":"NaN⨳⩥⨓⫖↰⪸-2468=NaN","layer":2},{"info":"⫖↰⪸457B034∀⇚≩NaN=NaN","layer":1},{"info":"⫖↰⪸2800↛⩡⫤=⫖↰⪸-2944A1","layer":3},{"info":"⫖↰⪸23A9⩨⫖↰⪸708=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-2944A1*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"+⊝⨔⫖↰⪸0=⫖↰⪸A6A","layer":1},{"info":"NaN⪘⫢⫖↰⪸A6A=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($1129$*$5501$)⨽$1390$⋥≓≎$1133$)≎⊠⪸(($2907$/$7359$)≋⫹)⨵⪆(($2384$⩷∴$5877$*$1709$⇷$1849$)⊭∹↮)","expression":"((⫖↰⪸7A1*⫖↰⪸3225)⨽⫖↰⪸97A⋥≓≎⫖↰⪸7A5)≎⊠⪸((⫖↰⪸1823/⫖↰⪸4313)≋⫹)⨵⪆((⫖↰⪸1468⩷∴⫖↰⪸3499*⫖↰⪸BA5⇷⫖↰⪸10A1)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6239426,"operation_count":11,"complexity_ratio":567220.5454545454,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1129,"base":12},"right_expr":{"type":"numeric_atoms","value":5501,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1390,"base":12},"right_expr":{"type":"numeric_atoms","value":1133,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2907,"base":12},"right_expr":{"type":"numeric_atoms","value":7359,"base":12}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2384,"base":12},"right_expr":{"type":"numeric_atoms","value":5877,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":1849,"base":12}}}}},"used_operators":["2DQ55sFlQl","bJkvcejdHO","8HhzD0ZcuI","9HNa5Wba9A","Qy55tPpLXF","N41Kp7NANJ","XhwjNDsVaA","xNBdhnnwKq","9FxExcQeMw","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=5501","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=5501, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6210629","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1133, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=909","layer":3},{"info":"compute binary expreesion, left_input=6210629, right_input=909, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=2907","layer":4},{"info":"number node, value=7359","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=7359, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":1},{"info":"number node, value=2384","layer":4},{"info":"number node, value=5877","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=5877, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7018","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1849, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3698","layer":3},{"info":"compute binary expreesion, left_input=-7018, right_input=3698, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-25952564","layer":2},{"info":"compute unary expreesion, input=-25952564, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-25952564","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=-25952564, 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":"((⫖↰⪸7A1*⫖↰⪸3225)⨽⫖↰⪸97A⋥≓≎⫖↰⪸7A5)≎⊠⪸((⫖↰⪸1823/⫖↰⪸4313)≋⫹)⨵⪆((⫖↰⪸1468⩷∴⫖↰⪸3499*⫖↰⪸BA5⇷⫖↰⪸10A1)⊭∹↮)=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫖↰⪸7A1*⫖↰⪸3225)⨽⫖↰⪸97A⋥≓≎⫖↰⪸7A5)≎⊠⪸((⫖↰⪸1823/⫖↰⪸4313)≋⫹)⨵⪆((⫖↰⪸1468⩷∴⫖↰⪸3499*⫖↰⪸BA5⇷⫖↰⪸10A1)⊭∹↮)","cot":[{"info":"⫖↰⪸7A1*⫖↰⪸3225=⫖↰⪸20B6145","layer":3},{"info":"⫖↰⪸97A⋥≓≎⫖↰⪸7A5=⫖↰⪸639","layer":3},{"info":"⫖↰⪸20B6145⨽⫖↰⪸639=-Inf","layer":2},{"info":"⫖↰⪸1823/⫖↰⪸4313=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≋⫹=⫖↰⪸0","layer":2},{"info":"-Inf≎⊠⪸⫖↰⪸0=Inf","layer":1},{"info":"⫖↰⪸1468⩷∴⫖↰⪸3499=⫖↰⪸-408A","layer":3},{"info":"⫖↰⪸BA5⇷⫖↰⪸10A1=⫖↰⪸2182","layer":3},{"info":"⫖↰⪸-408A*⫖↰⪸2182=⫖↰⪸-8836A18","layer":2},{"info":"⫖↰⪸-8836A18⊭∹↮=⫖↰⪸-8836A18","layer":1},{"info":"Inf⨵⪆⫖↰⪸-8836A18=⫖↰⪸114","layer":0}]}
{"id":94,"expression_no_base_symbol":"∂((≉$5038$⨽$4129$)≭(⨑⩽⪐(↔$2973$)))","expression":"∂((≉⫖↰⪸2ABA⨽⫖↰⪸2481)≭(⨑⩽⪐(↔⫖↰⪸1879)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5064,"operation_count":6,"complexity_ratio":844.0,"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":5038,"base":12},"right_expr":{"type":"numeric_atoms","value":4129,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2973,"base":12}}}}},"used_operators":["Uaa54Peajs","rxpJgHHUmx","e1ybzncUwg","8HhzD0ZcuI","AF7qkfDlqP","ruOEQAzv1W"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5038","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=5038, right_input=4129, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-76155405","layer":3},{"info":"compute unary expreesion, input=-76155405, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-76155405","layer":2},{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2700","layer":3},{"info":"compute unary expreesion, input=-2700, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=6189","layer":2},{"info":"compute binary expreesion, left_input=-76155405, right_input=6189, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":"∂((≉⫖↰⪸2ABA⨽⫖↰⪸2481)≭(⨑⩽⪐(↔⫖↰⪸1879)))=NaN","reverse_text":"NaN=∂((≉⫖↰⪸2ABA⨽⫖↰⪸2481)≭(⨑⩽⪐(↔⫖↰⪸1879)))","cot":[{"info":"⫖↰⪸2ABA⨽⫖↰⪸2481=⫖↰⪸-216074B9","layer":3},{"info":"≉⫖↰⪸-216074B9=⫖↰⪸-216074B9","layer":2},{"info":"↔⫖↰⪸1879=⫖↰⪸-1690","layer":3},{"info":"⨑⩽⪐⫖↰⪸-1690=⫖↰⪸36B9","layer":2},{"info":"⫖↰⪸-216074B9≭⫖↰⪸36B9=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"∂($3031$⊴$8298$↙($4642$*$3265$))⪢(↯⪼($2030$⨎$1148$))","expression":"∂(⫖↰⪸1907⊴⫖↰⪸4976↙(⫖↰⪸282A*⫖↰⪸1A81))⪢(↯⪼(⫖↰⪸1212⨎⫖↰⪸7B8))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11624,"operation_count":7,"complexity_ratio":1660.5714285714287,"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":3031,"base":12},"right_expr":{"type":"numeric_atoms","value":8298,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4642,"base":12},"right_expr":{"type":"numeric_atoms","value":3265,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2030,"base":12},"right_expr":{"type":"numeric_atoms","value":1148,"base":12}}}}},"used_operators":["Uaa54Peajs","dWAJyo7jo9","yyfyN0ffXY","Nsiff2A1zJ","9HNa5Wba9A","8jW3W4yZS5","rJVOvQCfKK"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3031","layer":4},{"info":"number node, value=8298","layer":4},{"info":"compute binary expreesion, left_input=3031, right_input=8298, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4642","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=3265, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15156130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15156130, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2030","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=1148, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1148","layer":3},{"info":"compute unary expreesion, input=1148, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"∂(⫖↰⪸1907⊴⫖↰⪸4976↙(⫖↰⪸282A*⫖↰⪸1A81))⪢(↯⪼(⫖↰⪸1212⨎⫖↰⪸7B8))=NaN","reverse_text":"NaN=∂(⫖↰⪸1907⊴⫖↰⪸4976↙(⫖↰⪸282A*⫖↰⪸1A81))⪢(↯⪼(⫖↰⪸1212⨎⫖↰⪸7B8))","cot":[{"info":"⫖↰⪸1907⊴⫖↰⪸4976=NaN","layer":3},{"info":"⫖↰⪸282A*⫖↰⪸1A81=⫖↰⪸50AAAAA","layer":3},{"info":"NaN↙⫖↰⪸50AAAAA=NaN","layer":2},{"info":"⫖↰⪸1212⨎⫖↰⪸7B8=⫖↰⪸7B8","layer":3},{"info":"↯⪼⫖↰⪸7B8=⫖↰⪸-19","layer":2},{"info":"NaN⪢⫖↰⪸-19=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"(⊥(⇁⨣⪵$2704$⩚⊴⇥$1644$))↺(⪝⪂⫅($5908$∲⫓$2070$))+⇶⊼(($4255$⇷$1905$)∧)","expression":"(⊥(⇁⨣⪵⫖↰⪸1694⩚⊴⇥⫖↰⪸B50))↺(⪝⪂⫅(⫖↰⪸3504∲⫓⫖↰⪸1246))+⇶⊼((⫖↰⪸2567⇷⫖↰⪸1129)∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59596,"operation_count":9,"complexity_ratio":6621.777777777777,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2704,"base":12},"right_expr":{"type":"numeric_atoms","value":1644,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5908,"base":12},"right_expr":{"type":"numeric_atoms","value":2070,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4255,"base":12},"right_expr":{"type":"numeric_atoms","value":1905,"base":12}}}}},"used_operators":["7j4O788W3g","Q3PJZHRvZv","inkyxCbjAn","NTOWxs364D","TpPTUOHfaN","XTarYq4gQB","i8ToyICDmI","z63VuFQld9","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2704","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=1644, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4469","layer":3},{"info":"compute unary expreesion, input=-4469, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=5908","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=2070, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"number node, value=4255","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=1905, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3810","layer":3},{"info":"compute unary expreesion, input=3810, 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=0, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⊥(⇁⨣⪵⫖↰⪸1694⩚⊴⇥⫖↰⪸B50))↺(⪝⪂⫅(⫖↰⪸3504∲⫓⫖↰⪸1246))+⇶⊼((⫖↰⪸2567⇷⫖↰⪸1129)∧)=NaN","reverse_text":"NaN=(⊥(⇁⨣⪵⫖↰⪸1694⩚⊴⇥⫖↰⪸B50))↺(⪝⪂⫅(⫖↰⪸3504∲⫓⫖↰⪸1246))+⇶⊼((⫖↰⪸2567⇷⫖↰⪸1129)∧)","cot":[{"info":"⫖↰⪸1694⩚⊴⇥⫖↰⪸B50=⫖↰⪸-2705","layer":3},{"info":"⇁⨣⪵⫖↰⪸-2705=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⫖↰⪸3504∲⫓⫖↰⪸1246=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2567⇷⫖↰⪸1129=⫖↰⪸2256","layer":3},{"info":"⫖↰⪸2256∧=NaN","layer":2},{"info":"⫖↰⪸0+⇶⊼NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"⊥($3126$⇷$1014$⋓($4548$%$3846$)⨁⊸⫻)","expression":"⊥(⫖↰⪸1986⇷⫖↰⪸706⋓(⫖↰⪸2770%⫖↰⪸2286)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43788,"operation_count":5,"complexity_ratio":8757.6,"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":3126,"base":12},"right_expr":{"type":"numeric_atoms","value":1014,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4548,"base":12},"right_expr":{"type":"numeric_atoms","value":3846,"base":12}}}}},"used_operators":["Q3PJZHRvZv","glklzrTFfD","T2fj7uvVaJ","mp7IySMOzn","k8jYdgA6NY"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3126","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=1014, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2028","layer":3},{"info":"number node, value=4548","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=3846, op_id = k8jYdgA6NY binary_op_definition= 'None', output=702","layer":3},{"info":"compute binary expreesion, left_input=2028, right_input=702, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊥(⫖↰⪸1986⇷⫖↰⪸706⋓(⫖↰⪸2770%⫖↰⪸2286)⨁⊸⫻)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊥(⫖↰⪸1986⇷⫖↰⪸706⋓(⫖↰⪸2770%⫖↰⪸2286)⨁⊸⫻)","cot":[{"info":"⫖↰⪸1986⇷⫖↰⪸706=⫖↰⪸1210","layer":3},{"info":"⫖↰⪸2770%⫖↰⪸2286=⫖↰⪸4A6","layer":3},{"info":"⫖↰⪸1210⋓⫖↰⪸4A6=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⨁⊸⫻=⫖↰⪸0","layer":1},{"info":"⊥⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":98,"expression_no_base_symbol":"⇁⨣⪵($1062$⩷∴$8674$⨁⊸⫻)⊴($2786$⫥∨⫟$2077$)≹⇙⪍($3697$⪮%⊝$2457$)","expression":"⇁⨣⪵(⫖↰⪸746⩷∴⫖↰⪸502A⨁⊸⫻)⊴(⫖↰⪸1742⫥∨⫟⫖↰⪸1251)≹⇙⪍(⫖↰⪸2181⪮%⊝⫖↰⪸1509)","highest_n_order":5,"priority_hierarchical_complexity":6,"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":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1062,"base":12},"right_expr":{"type":"numeric_atoms","value":8674,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2786,"base":12},"right_expr":{"type":"numeric_atoms","value":2077,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3697,"base":12},"right_expr":{"type":"numeric_atoms","value":2457,"base":12}}}}},"used_operators":["inkyxCbjAn","Nsiff2A1zJ","glklzrTFfD","9FxExcQeMw","AHs5Up7iyr","KYD54nUTWz","IWmyXbctLI"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"number node, value=8674","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=8674, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15256","layer":3},{"info":"compute unary expreesion, input=-15256, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-30512","layer":2},{"info":"number node, value=2786","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=2077, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3697","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=2457, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7710","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7710, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-30512, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸746⩷∴⫖↰⪸502A⨁⊸⫻)⊴(⫖↰⪸1742⫥∨⫟⫖↰⪸1251)≹⇙⪍(⫖↰⪸2181⪮%⊝⫖↰⪸1509)=NaN","reverse_text":"NaN=⇁⨣⪵(⫖↰⪸746⩷∴⫖↰⪸502A⨁⊸⫻)⊴(⫖↰⪸1742⫥∨⫟⫖↰⪸1251)≹⇙⪍(⫖↰⪸2181⪮%⊝⫖↰⪸1509)","cot":[{"info":"⫖↰⪸746⩷∴⫖↰⪸502A=⫖↰⪸-89B4","layer":3},{"info":"⫖↰⪸-89B4⨁⊸⫻=⫖↰⪸-157A8","layer":2},{"info":"⫖↰⪸1742⫥∨⫟⫖↰⪸1251=NaN","layer":3},{"info":"⫖↰⪸2181⪮%⊝⫖↰⪸1509=⫖↰⪸4566","layer":3},{"info":"NaN≹⇙⪍⫖↰⪸4566=NaN","layer":2},{"info":"⫖↰⪸-157A8⊴NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(($3264$⫸⊐$3997$)⊴($2819$⇷$3054$)⪒($7290$⊭∹↮)⋳⪒(↽≂$2655$))≎⊠⪸(($2087$⨓$1496$≭$1483$⪛$2218$)≫≃)","expression":"((⫖↰⪸1A80⫸⊐⫖↰⪸2391)⊴(⫖↰⪸176B⇷⫖↰⪸1926)⪒(⫖↰⪸4276⊭∹↮)⋳⪒(↽≂⫖↰⪸1653))≎⊠⪸((⫖↰⪸125B⨓⫖↰⪸A48≭⫖↰⪸A37⪛⫖↰⪸134A)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":67160,"operation_count":12,"complexity_ratio":5596.666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3264,"base":12},"right_expr":{"type":"numeric_atoms","value":3997,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2819,"base":12},"right_expr":{"type":"numeric_atoms","value":3054,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7290,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2655,"base":12}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2087,"base":12},"right_expr":{"type":"numeric_atoms","value":1496,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1483,"base":12},"right_expr":{"type":"numeric_atoms","value":2218,"base":12}}}}},"used_operators":["bJkvcejdHO","f6k1SAg4EE","Nsiff2A1zJ","mqXw5SEYmG","mp7IySMOzn","12rbrZMWeM","xNBdhnnwKq","u6S6b8DprG","X99M06cbEe","rxpJgHHUmx","3ViojmjbAp","uFcxV4UQCh"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3264","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=3997, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15863","layer":3},{"info":"number node, value=2819","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=3054, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6108","layer":3},{"info":"compute binary expreesion, left_input=15863, right_input=6108, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=7290","layer":4},{"info":"compute unary expreesion, input=7290, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=14580","layer":3},{"info":"number node, value=2655","layer":4},{"info":"compute unary expreesion, input=2655, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5310","layer":3},{"info":"compute binary expreesion, left_input=14580, right_input=-5310, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=34183","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=34183, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2087","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1496, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1499","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=2218, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1483","layer":3},{"info":"compute binary expreesion, left_input=-1499, right_input=1483, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1A80⫸⊐⫖↰⪸2391)⊴(⫖↰⪸176B⇷⫖↰⪸1926)⪒(⫖↰⪸4276⊭∹↮)⋳⪒(↽≂⫖↰⪸1653))≎⊠⪸((⫖↰⪸125B⨓⫖↰⪸A48≭⫖↰⪸A37⪛⫖↰⪸134A)≫≃)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸1A80⫸⊐⫖↰⪸2391)⊴(⫖↰⪸176B⇷⫖↰⪸1926)⪒(⫖↰⪸4276⊭∹↮)⋳⪒(↽≂⫖↰⪸1653))≎⊠⪸((⫖↰⪸125B⨓⫖↰⪸A48≭⫖↰⪸A37⪛⫖↰⪸134A)≫≃)","cot":[{"info":"⫖↰⪸1A80⫸⊐⫖↰⪸2391=⫖↰⪸921B","layer":3},{"info":"⫖↰⪸176B⇷⫖↰⪸1926=⫖↰⪸3650","layer":3},{"info":"⫖↰⪸921B⊴⫖↰⪸3650=NaN","layer":2},{"info":"⫖↰⪸4276⊭∹↮=⫖↰⪸8530","layer":3},{"info":"↽≂⫖↰⪸1653=⫖↰⪸-30A6","layer":3},{"info":"⫖↰⪸8530⋳⪒⫖↰⪸-30A6=⫖↰⪸17947","layer":2},{"info":"NaN⪒⫖↰⪸17947=NaN","layer":1},{"info":"⫖↰⪸125B⨓⫖↰⪸A48=⫖↰⪸-A4B","layer":3},{"info":"⫖↰⪸A37⪛⫖↰⪸134A=⫖↰⪸A37","layer":3},{"info":"⫖↰⪸-A4B≭⫖↰⪸A37=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":100,"expression_no_base_symbol":"⫓⪴((⇁⨣⪵(≦∁$3000$))⊉≛↸(≉($3245$⨸⪁$6356$)))","expression":"⫓⪴((⇁⨣⪵(≦∁⫖↰⪸18A0))⊉≛↸(≉(⫖↰⪸1A65⨸⪁⫖↰⪸3818)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10,"operation_count":6,"complexity_ratio":1.6666666666666667,"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":3000,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3245,"base":12},"right_expr":{"type":"numeric_atoms","value":6356,"base":12}}}}},"used_operators":["eLxqMNBOBk","DZ8iAZOCBD","inkyxCbjAn","9ICcGScMcE","e1ybzncUwg","g55IO6H4Gj"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3000","layer":4},{"info":"compute unary expreesion, input=3000, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3000","layer":3},{"info":"compute unary expreesion, input=3000, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3245","layer":4},{"info":"number node, value=6356","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=6356, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19202","layer":3},{"info":"compute unary expreesion, input=19202, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=19733","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19733, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴((⇁⨣⪵(≦∁⫖↰⪸18A0))⊉≛↸(≉(⫖↰⪸1A65⨸⪁⫖↰⪸3818)))=NaN","reverse_text":"NaN=⫓⪴((⇁⨣⪵(≦∁⫖↰⪸18A0))⊉≛↸(≉(⫖↰⪸1A65⨸⪁⫖↰⪸3818)))","cot":[{"info":"≦∁⫖↰⪸18A0=⫖↰⪸18A0","layer":3},{"info":"⇁⨣⪵⫖↰⪸18A0=NaN","layer":2},{"info":"⫖↰⪸1A65⨸⪁⫖↰⪸3818=⫖↰⪸B142","layer":3},{"info":"≉⫖↰⪸B142=⫖↰⪸B505","layer":2},{"info":"NaN⊉≛↸⫖↰⪸B505=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(⫛⫱⨽($5970$⩨$5047$⨸⪁$1826$⨪↰⇹$1163$))/(⨈⫕($8696$↬$8868$⫡⨏($4238$⋷$1932$)))","expression":"(⫛⫱⨽(⫖↰⪸3556⩨⫖↰⪸2B07⨸⪁⫖↰⪸1082⨪↰⇹⫖↰⪸80B))/(⨈⫕(⫖↰⪸5048↬⫖↰⪸5170⫡⨏(⫖↰⪸2552⋷⫖↰⪸1150)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3653,"operation_count":9,"complexity_ratio":405.8888888888889,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5970,"base":12},"right_expr":{"type":"numeric_atoms","value":5047,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1826,"base":12},"right_expr":{"type":"numeric_atoms","value":1163,"base":12}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8696,"base":12},"right_expr":{"type":"numeric_atoms","value":8868,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4238,"base":12},"right_expr":{"type":"numeric_atoms","value":1932,"base":12}}}}},"used_operators":["XhwjNDsVaA","DlLNRPXxWL","g55IO6H4Gj","2DlMacCsIx","tmPS8pqC7x","megm06wKyl","QMFrweE19q","B5M0gjZbta","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5970","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=5970, right_input=5047, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1826","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1163, 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=1826","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1826, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3652","layer":2},{"info":"compute unary expreesion, input=3652, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=8696","layer":4},{"info":"number node, value=8868","layer":4},{"info":"compute binary expreesion, left_input=8696, right_input=8868, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4238","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=4238, right_input=1932, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-374, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=0, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽(⫖↰⪸3556⩨⫖↰⪸2B07⨸⪁⫖↰⪸1082⨪↰⇹⫖↰⪸80B))/(⨈⫕(⫖↰⪸5048↬⫖↰⪸5170⫡⨏(⫖↰⪸2552⋷⫖↰⪸1150)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫛⫱⨽(⫖↰⪸3556⩨⫖↰⪸2B07⨸⪁⫖↰⪸1082⨪↰⇹⫖↰⪸80B))/(⨈⫕(⫖↰⪸5048↬⫖↰⪸5170⫡⨏(⫖↰⪸2552⋷⫖↰⪸1150)))","cot":[{"info":"⫖↰⪸3556⩨⫖↰⪸2B07=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1082⨪↰⇹⫖↰⪸80B=⫖↰⪸1082","layer":3},{"info":"⫖↰⪸0⨸⪁⫖↰⪸1082=⫖↰⪸2144","layer":2},{"info":"⫛⫱⨽⫖↰⪸2144=⫖↰⪸0","layer":1},{"info":"⫖↰⪸5048↬⫖↰⪸5170=NaN","layer":3},{"info":"⫖↰⪸2552⋷⫖↰⪸1150=⫖↰⪸-272","layer":3},{"info":"NaN⫡⨏⫖↰⪸-272=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸0/⫖↰⪸-19=⫖↰⪸0","layer":0}]}
{"id":102,"expression_no_base_symbol":"(⊄⩳↩($4841$≎⊠⪸$3439$-(⨞⊢$5956$)))⩷∴(($1009$⨽$2834$)⨰($1991$⨸⪁$6554$))∀⇚≩(($5578$∲⫓$7212$)⪒(↩$9187$))","expression":"(⊄⩳↩(⫖↰⪸2975≎⊠⪸⫖↰⪸1BA7-(⨞⊢⫖↰⪸3544)))⩷∴((⫖↰⪸701⨽⫖↰⪸1782)⨰(⫖↰⪸119B⨸⪁⫖↰⪸3962))∀⇚≩((⫖↰⪸328A∲⫓⫖↰⪸4210)⪒(↩⫖↰⪸5397))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1331,"operation_count":12,"complexity_ratio":110.91666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4841,"base":12},"right_expr":{"type":"numeric_atoms","value":3439,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5956,"base":12}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":2834,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1991,"base":12},"right_expr":{"type":"numeric_atoms","value":6554,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5578,"base":12},"right_expr":{"type":"numeric_atoms","value":7212,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":9187,"base":12}}}}},"used_operators":["9FxExcQeMw","8w2t5hMYqp","rysDP5nf3Z","bJkvcejdHO","xUOZtlo3hN","LRNGc0VcxI","eewbuw0ToL","8HhzD0ZcuI","g55IO6H4Gj","f6k1SAg4EE","i8ToyICDmI","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","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=4841","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=4841, right_input=3439, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1253346","layer":3},{"info":"number node, value=5956","layer":4},{"info":"compute unary expreesion, input=5956, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6130","layer":3},{"info":"compute binary expreesion, left_input=1253346, right_input=-6130, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1259476","layer":2},{"info":"compute unary expreesion, input=1259476, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3778428","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2834, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3061431","layer":3},{"info":"number node, value=1991","layer":4},{"info":"number node, value=6554","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=6554, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17090","layer":3},{"info":"compute binary expreesion, left_input=-3061431, right_input=17090, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3078511","layer":2},{"info":"number node, value=5578","layer":4},{"info":"number node, value=7212","layer":4},{"info":"compute binary expreesion, left_input=5578, right_input=7212, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=9187","layer":4},{"info":"compute unary expreesion, input=9187, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-70716","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-70716, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=70716","layer":2},{"info":"compute binary expreesion, left_input=-3078511, right_input=70716, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3778428, 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":"(⊄⩳↩(⫖↰⪸2975≎⊠⪸⫖↰⪸1BA7-(⨞⊢⫖↰⪸3544)))⩷∴((⫖↰⪸701⨽⫖↰⪸1782)⨰(⫖↰⪸119B⨸⪁⫖↰⪸3962))∀⇚≩((⫖↰⪸328A∲⫓⫖↰⪸4210)⪒(↩⫖↰⪸5397))=NaN","reverse_text":"NaN=(⊄⩳↩(⫖↰⪸2975≎⊠⪸⫖↰⪸1BA7-(⨞⊢⫖↰⪸3544)))⩷∴((⫖↰⪸701⨽⫖↰⪸1782)⨰(⫖↰⪸119B⨸⪁⫖↰⪸3962))∀⇚≩((⫖↰⪸328A∲⫓⫖↰⪸4210)⪒(↩⫖↰⪸5397))","cot":[{"info":"⫖↰⪸2975≎⊠⪸⫖↰⪸1BA7=⫖↰⪸505396","layer":3},{"info":"⨞⊢⫖↰⪸3544=⫖↰⪸-366A","layer":3},{"info":"⫖↰⪸505396-⫖↰⪸-366A=⫖↰⪸508A44","layer":2},{"info":"⊄⩳↩⫖↰⪸508A44=⫖↰⪸-1322710","layer":1},{"info":"⫖↰⪸701⨽⫖↰⪸1782=⫖↰⪸-10377B3","layer":3},{"info":"⫖↰⪸119B⨸⪁⫖↰⪸3962=⫖↰⪸9A82","layer":3},{"info":"⫖↰⪸-10377B3⨰⫖↰⪸9A82=⫖↰⪸-1045667","layer":2},{"info":"⫖↰⪸328A∲⫓⫖↰⪸4210=⫖↰⪸0","layer":3},{"info":"↩⫖↰⪸5397=⫖↰⪸-34B10","layer":3},{"info":"⫖↰⪸0⪒⫖↰⪸-34B10=⫖↰⪸34B10","layer":2},{"info":"⫖↰⪸-1045667∀⇚≩⫖↰⪸34B10=NaN","layer":1},{"info":"⫖↰⪸-1322710⩷∴NaN=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"((⪝⪂⫅$1351$)⨵⪆$1075$≹⇙⪍$9635$)⪮%⊝(($2481$⨵⪆$4443$)≭($6694$⫥∨⫟$7138$))↺(∥⊫(⊄⩳↩$1854$)∀⇚≩($5632$⪒$6196$))","expression":"((⪝⪂⫅⫖↰⪸947)⨵⪆⫖↰⪸757≹⇙⪍⫖↰⪸56AB)⪮%⊝((⫖↰⪸1529⨵⪆⫖↰⪸26A3)≭(⫖↰⪸3A5A⫥∨⫟⫖↰⪸416A))↺(∥⊫(⊄⩳↩⫖↰⪸10A6)∀⇚≩(⫖↰⪸3314⪒⫖↰⪸3704))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39262,"operation_count":12,"complexity_ratio":3271.8333333333335,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1351,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1075,"base":12},"right_expr":{"type":"numeric_atoms","value":9635,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2481,"base":12},"right_expr":{"type":"numeric_atoms","value":4443,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6694,"base":12},"right_expr":{"type":"numeric_atoms","value":7138,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1854,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5632,"base":12},"right_expr":{"type":"numeric_atoms","value":6196,"base":12}}}}},"used_operators":["7j4O788W3g","IWmyXbctLI","2DQ55sFlQl","XTarYq4gQB","AHs5Up7iyr","rxpJgHHUmx","KYD54nUTWz","P8v4zCKN1o","LRNGc0VcxI","8w2t5hMYqp","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-198597","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=9635","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=9635, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-198597, 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=2481","layer":4},{"info":"number node, value=4443","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=4443, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6694","layer":4},{"info":"number node, value=7138","layer":4},{"info":"compute binary expreesion, left_input=6694, right_input=7138, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1854","layer":4},{"info":"compute unary expreesion, input=1854, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5562","layer":3},{"info":"number node, value=5632","layer":4},{"info":"number node, value=6196","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=6196, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11828","layer":3},{"info":"compute binary expreesion, left_input=-5562, right_input=-11828, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = 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":"((⪝⪂⫅⫖↰⪸947)⨵⪆⫖↰⪸757≹⇙⪍⫖↰⪸56AB)⪮%⊝((⫖↰⪸1529⨵⪆⫖↰⪸26A3)≭(⫖↰⪸3A5A⫥∨⫟⫖↰⪸416A))↺(∥⊫(⊄⩳↩⫖↰⪸10A6)∀⇚≩(⫖↰⪸3314⪒⫖↰⪸3704))=NaN","reverse_text":"NaN=((⪝⪂⫅⫖↰⪸947)⨵⪆⫖↰⪸757≹⇙⪍⫖↰⪸56AB)⪮%⊝((⫖↰⪸1529⨵⪆⫖↰⪸26A3)≭(⫖↰⪸3A5A⫥∨⫟⫖↰⪸416A))↺(∥⊫(⊄⩳↩⫖↰⪸10A6)∀⇚≩(⫖↰⪸3314⪒⫖↰⪸3704))","cot":[{"info":"⪝⪂⫅⫖↰⪸947=⫖↰⪸-96B19","layer":3},{"info":"⫖↰⪸757≹⇙⪍⫖↰⪸56AB=NaN","layer":3},{"info":"⫖↰⪸-96B19⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1529⨵⪆⫖↰⪸26A3=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3A5A⫥∨⫟⫖↰⪸416A=NaN","layer":3},{"info":"⫖↰⪸114≭NaN=NaN","layer":2},{"info":"⫖↰⪸114⪮%⊝NaN=NaN","layer":1},{"info":"⊄⩳↩⫖↰⪸10A6=⫖↰⪸-3276","layer":3},{"info":"⫖↰⪸3314⪒⫖↰⪸3704=⫖↰⪸-6A18","layer":3},{"info":"⫖↰⪸-3276∀⇚≩⫖↰⪸-6A18=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"(↣≠⋷(↣≠⋷$4836$))⨪↰⇹(($7060$⊉≛↸$1410$)⋳⪒$6407$⪘⫢$6676$)⋝⋈⪟(⨈⫕(($2950$⪒$1105$)⪒($2066$⋫)))","expression":"(↣≠⋷(↣≠⋷⫖↰⪸2970))⨪↰⇹((⫖↰⪸4104⊉≛↸⫖↰⪸996)⋳⪒⫖↰⪸385B⪘⫢⫖↰⪸3A44)⋝⋈⪟(⨈⫕((⫖↰⪸185A⪒⫖↰⪸781)⪒(⫖↰⪸1242⋫)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2492,"operation_count":11,"complexity_ratio":226.54545454545453,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4836,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7060,"base":12},"right_expr":{"type":"numeric_atoms","value":1410,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6407,"base":12},"right_expr":{"type":"numeric_atoms","value":6676,"base":12}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2950,"base":12},"right_expr":{"type":"numeric_atoms","value":1105,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2066,"base":12}}}}},"used_operators":["2DDjHMKMc0","tmPS8pqC7x","Asc51vEJeQ","12rbrZMWeM","DZ8iAZOCBD","oacrs7FA3X","megm06wKyl","f6k1SAg4EE","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4836","layer":4},{"info":"compute unary expreesion, input=4836, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=7060","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=7060, right_input=1410, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14120","layer":3},{"info":"number node, value=6407","layer":4},{"info":"number node, value=6676","layer":4},{"info":"compute binary expreesion, left_input=6407, right_input=6676, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12690","layer":3},{"info":"compute binary expreesion, left_input=14120, right_input=12690, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15263","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15263, 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=2950","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=1105, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4055","layer":3},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2066","layer":3},{"info":"compute binary expreesion, left_input=-4055, right_input=2066, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1989","layer":2},{"info":"compute unary expreesion, input=1989, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷(↣≠⋷⫖↰⪸2970))⨪↰⇹((⫖↰⪸4104⊉≛↸⫖↰⪸996)⋳⪒⫖↰⪸385B⪘⫢⫖↰⪸3A44)⋝⋈⪟(⨈⫕((⫖↰⪸185A⪒⫖↰⪸781)⪒(⫖↰⪸1242⋫)))=NaN","reverse_text":"NaN=(↣≠⋷(↣≠⋷⫖↰⪸2970))⨪↰⇹((⫖↰⪸4104⊉≛↸⫖↰⪸996)⋳⪒⫖↰⪸385B⪘⫢⫖↰⪸3A44)⋝⋈⪟(⨈⫕((⫖↰⪸185A⪒⫖↰⪸781)⪒(⫖↰⪸1242⋫)))","cot":[{"info":"↣≠⋷⫖↰⪸2970=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸4104⊉≛↸⫖↰⪸996=⫖↰⪸8208","layer":3},{"info":"⫖↰⪸385B⪘⫢⫖↰⪸3A44=⫖↰⪸7416","layer":3},{"info":"⫖↰⪸8208⋳⪒⫖↰⪸7416=⫖↰⪸89BB","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸89BB=NaN","layer":1},{"info":"⫖↰⪸185A⪒⫖↰⪸781=⫖↰⪸-241B","layer":3},{"info":"⫖↰⪸1242⋫=⫖↰⪸1242","layer":3},{"info":"⫖↰⪸-241B⪒⫖↰⪸1242=⫖↰⪸1199","layer":2},{"info":"⨈⫕⫖↰⪸1199=⫖↰⪸-19","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸-19=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"((≉$2588$)⊪)⨪↰⇹(($8913$↙$1054$)⨽(⊥$1156$))+⇶⊼(⨑⩽⪐(($3183$⫥∨⫟$2202$)≫≃))","expression":"((≉⫖↰⪸15B8)⊪)⨪↰⇹((⫖↰⪸51A9↙⫖↰⪸73A)⨽(⊥⫖↰⪸804))+⇶⊼(⨑⩽⪐((⫖↰⪸1A13⫥∨⫟⫖↰⪸1336)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4434,"operation_count":10,"complexity_ratio":443.4,"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":2588,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8913,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1156,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3183,"base":12},"right_expr":{"type":"numeric_atoms","value":2202,"base":12}}}}},"used_operators":["TpPTUOHfaN","tmPS8pqC7x","zVYPLywUTj","e1ybzncUwg","8HhzD0ZcuI","yyfyN0ffXY","Q3PJZHRvZv","AF7qkfDlqP","X99M06cbEe","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2588","layer":4},{"info":"compute unary expreesion, input=2588, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3119","layer":3},{"info":"compute unary expreesion, input=3119, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"number node, value=8913","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=8913, right_input=1054, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3162","layer":3},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3162, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=3183","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=2202, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸15B8)⊪)⨪↰⇹((⫖↰⪸51A9↙⫖↰⪸73A)⨽(⊥⫖↰⪸804))+⇶⊼(⨑⩽⪐((⫖↰⪸1A13⫥∨⫟⫖↰⪸1336)≫≃))=NaN","reverse_text":"NaN=((≉⫖↰⪸15B8)⊪)⨪↰⇹((⫖↰⪸51A9↙⫖↰⪸73A)⨽(⊥⫖↰⪸804))+⇶⊼(⨑⩽⪐((⫖↰⪸1A13⫥∨⫟⫖↰⪸1336)≫≃))","cot":[{"info":"≉⫖↰⪸15B8=⫖↰⪸197B","layer":3},{"info":"⫖↰⪸197B⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸51A9↙⫖↰⪸73A=⫖↰⪸-19B6","layer":3},{"info":"⊥⫖↰⪸804=NaN","layer":3},{"info":"⫖↰⪸-19B6⨽NaN=NaN","layer":2},{"info":"⫖↰⪸0⨪↰⇹NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1A13⫥∨⫟⫖↰⪸1336=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫖↰⪸0+⇶⊼NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($2712$+⇶⊼$5820$⋥≓≎(≦∁$3208$))⋝⋈⪟(∂(⩦⩻⨪$2850$)))∼(($7988$⋳⪒$2931$-($3401$⨁⊸⫻))≧⫂∧(↽≂(↥$4083$)))","expression":"((⫖↰⪸16A0+⇶⊼⫖↰⪸3450⋥≓≎(≦∁⫖↰⪸1A34))⋝⋈⪟(∂(⩦⩻⨪⫖↰⪸1796)))∼((⫖↰⪸4758⋳⪒⫖↰⪸1843-(⫖↰⪸1B75⨁⊸⫻))≧⫂∧(↽≂(↥⫖↰⪸2443)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2041,"operation_count":13,"complexity_ratio":157.0,"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":2712,"base":12},"right_expr":{"type":"numeric_atoms","value":5820,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3208,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2850,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7988,"base":12},"right_expr":{"type":"numeric_atoms","value":2931,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3401,"base":12}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4083,"base":12}}}}},"used_operators":["DyGG3AbaNP","2DDjHMKMc0","Qy55tPpLXF","TpPTUOHfaN","9ICcGScMcE","Uaa54Peajs","2td37pGCOC","Ph9nP6C5qx","rysDP5nf3Z","12rbrZMWeM","glklzrTFfD","u6S6b8DprG","A8NUZmVepG"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2712","layer":4},{"info":"number node, value=5820","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=5820, 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=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3208","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3208, 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=2850","layer":4},{"info":"compute unary expreesion, input=2850, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2850","layer":3},{"info":"compute unary expreesion, input=2850, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=7988","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=7988, right_input=2931, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12758","layer":3},{"info":"number node, value=3401","layer":4},{"info":"compute unary expreesion, input=3401, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3401","layer":3},{"info":"compute binary expreesion, left_input=12758, right_input=3401, op_id = rysDP5nf3Z binary_op_definition= 'None', output=9357","layer":2},{"info":"number node, value=4083","layer":4},{"info":"compute unary expreesion, input=4083, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=9357, right_input=-6, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-479","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-479, 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":"((⫖↰⪸16A0+⇶⊼⫖↰⪸3450⋥≓≎(≦∁⫖↰⪸1A34))⋝⋈⪟(∂(⩦⩻⨪⫖↰⪸1796)))∼((⫖↰⪸4758⋳⪒⫖↰⪸1843-(⫖↰⪸1B75⨁⊸⫻))≧⫂∧(↽≂(↥⫖↰⪸2443)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸16A0+⇶⊼⫖↰⪸3450⋥≓≎(≦∁⫖↰⪸1A34))⋝⋈⪟(∂(⩦⩻⨪⫖↰⪸1796)))∼((⫖↰⪸4758⋳⪒⫖↰⪸1843-(⫖↰⪸1B75⨁⊸⫻))≧⫂∧(↽≂(↥⫖↰⪸2443)))","cot":[{"info":"⫖↰⪸16A0+⇶⊼⫖↰⪸3450=NaN","layer":3},{"info":"≦∁⫖↰⪸1A34=⫖↰⪸1A34","layer":3},{"info":"NaN⋥≓≎⫖↰⪸1A34=⫖↰⪸57","layer":2},{"info":"⩦⩻⨪⫖↰⪸1796=⫖↰⪸1796","layer":3},{"info":"∂⫖↰⪸1796=NaN","layer":2},{"info":"⫖↰⪸57⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸4758⋳⪒⫖↰⪸1843=⫖↰⪸7472","layer":3},{"info":"⫖↰⪸1B75⨁⊸⫻=⫖↰⪸1B75","layer":3},{"info":"⫖↰⪸7472-⫖↰⪸1B75=⫖↰⪸54B9","layer":2},{"info":"↥⫖↰⪸2443=⫖↰⪸3","layer":3},{"info":"↽≂⫖↰⪸3=⫖↰⪸-6","layer":2},{"info":"⫖↰⪸54B9≧⫂∧⫖↰⪸-6=⫖↰⪸-33B","layer":1},{"info":"NaN∼⫖↰⪸-33B=⫖↰⪸0","layer":0}]}
{"id":107,"expression_no_base_symbol":"(($3804$⋳⪒$2828$)≎⊠⪸($3365$≎⊠⪸$1686$)*(⊥$5844$)⨽($2371$⩨$2028$))≹⇙⪍(($4580$∀⇚≩$2781$+⇶⊼($1754$↺$1262$))⋓($1791$⪨≂$2059$)⪮%⊝(⊥$4423$))","expression":"((⫖↰⪸2250⋳⪒⫖↰⪸1778)≎⊠⪸(⫖↰⪸1B45≎⊠⪸⫖↰⪸B86)*(⊥⫖↰⪸3470)⨽(⫖↰⪸1457⩨⫖↰⪸1210))≹⇙⪍((⫖↰⪸2798∀⇚≩⫖↰⪸1739+⇶⊼(⫖↰⪸1022↺⫖↰⪸892))⋓(⫖↰⪸1053⪨≂⫖↰⪸1237)⪮%⊝(⊥⫖↰⪸2687))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32655,"operation_count":15,"complexity_ratio":2177.0,"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":3804,"base":12},"right_expr":{"type":"numeric_atoms","value":2828,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3365,"base":12},"right_expr":{"type":"numeric_atoms","value":1686,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5844,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2371,"base":12},"right_expr":{"type":"numeric_atoms","value":2028,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4580,"base":12},"right_expr":{"type":"numeric_atoms","value":2781,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1754,"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":1791,"base":12},"right_expr":{"type":"numeric_atoms","value":2059,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4423,"base":12}}}}},"used_operators":["AHs5Up7iyr","9HNa5Wba9A","bJkvcejdHO","12rbrZMWeM","8HhzD0ZcuI","Q3PJZHRvZv","2DlMacCsIx","T2fj7uvVaJ","TpPTUOHfaN","LRNGc0VcxI","7j4O788W3g","IWmyXbctLI","sdazOOVcIp"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3804","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=2828, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4493","layer":3},{"info":"number node, value=3365","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=3365, right_input=1686, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=871062","layer":3},{"info":"compute binary expreesion, left_input=4493, right_input=871062, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1163214","layer":2},{"info":"number node, value=5844","layer":4},{"info":"compute unary expreesion, input=5844, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2371","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=2028, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1163214, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4580","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=4580, right_input=2781, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1754","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=1262, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1262","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1262, 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=1791","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=2059, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-434","layer":3},{"info":"number node, value=4423","layer":4},{"info":"compute unary expreesion, input=4423, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-434, 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⫖↰⪸2250⋳⪒⫖↰⪸1778)≎⊠⪸(⫖↰⪸1B45≎⊠⪸⫖↰⪸B86)*(⊥⫖↰⪸3470)⨽(⫖↰⪸1457⩨⫖↰⪸1210))≹⇙⪍((⫖↰⪸2798∀⇚≩⫖↰⪸1739+⇶⊼(⫖↰⪸1022↺⫖↰⪸892))⋓(⫖↰⪸1053⪨≂⫖↰⪸1237)⪮%⊝(⊥⫖↰⪸2687))=NaN","reverse_text":"NaN=((⫖↰⪸2250⋳⪒⫖↰⪸1778)≎⊠⪸(⫖↰⪸1B45≎⊠⪸⫖↰⪸B86)*(⊥⫖↰⪸3470)⨽(⫖↰⪸1457⩨⫖↰⪸1210))≹⇙⪍((⫖↰⪸2798∀⇚≩⫖↰⪸1739+⇶⊼(⫖↰⪸1022↺⫖↰⪸892))⋓(⫖↰⪸1053⪨≂⫖↰⪸1237)⪮%⊝(⊥⫖↰⪸2687))","cot":[{"info":"⫖↰⪸2250⋳⪒⫖↰⪸1778=⫖↰⪸2725","layer":3},{"info":"⫖↰⪸1B45≎⊠⪸⫖↰⪸B86=⫖↰⪸360106","layer":3},{"info":"⫖↰⪸2725≎⊠⪸⫖↰⪸360106=⫖↰⪸4811A6","layer":2},{"info":"⊥⫖↰⪸3470=NaN","layer":3},{"info":"⫖↰⪸1457⩨⫖↰⪸1210=⫖↰⪸0","layer":3},{"info":"NaN⨽⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸4811A6*NaN=NaN","layer":1},{"info":"⫖↰⪸2798∀⇚≩⫖↰⪸1739=NaN","layer":3},{"info":"⫖↰⪸1022↺⫖↰⪸892=⫖↰⪸892","layer":3},{"info":"NaN+⇶⊼⫖↰⪸892=NaN","layer":2},{"info":"⫖↰⪸1053⪨≂⫖↰⪸1237=⫖↰⪸-302","layer":3},{"info":"⊥⫖↰⪸2687=NaN","layer":3},{"info":"⫖↰⪸-302⪮%⊝NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"⫓⪴(↔($1810$⫥∨⫟$1329$-$4377$⪛$2482$))","expression":"⫓⪴(↔(⫖↰⪸106A⫥∨⫟⫖↰⪸929-⫖↰⪸2649⪛⫖↰⪸152A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":315,"operation_count":5,"complexity_ratio":63.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1810,"base":12},"right_expr":{"type":"numeric_atoms","value":1329,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4377,"base":12},"right_expr":{"type":"numeric_atoms","value":2482,"base":12}}}}},"used_operators":["eLxqMNBOBk","ruOEQAzv1W","rysDP5nf3Z","KYD54nUTWz","uFcxV4UQCh"],"dependent_operators":["9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸A484","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1329, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4377","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=4377, right_input=2482, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1895","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1895, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=17956","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(↔(⫖↰⪸106A⫥∨⫟⫖↰⪸929-⫖↰⪸2649⪛⫖↰⪸152A))=⫖↰⪸A484","reverse_text":"⫖↰⪸A484=⫓⪴(↔(⫖↰⪸106A⫥∨⫟⫖↰⪸929-⫖↰⪸2649⪛⫖↰⪸152A))","cot":[{"info":"⫖↰⪸106A⫥∨⫟⫖↰⪸929=NaN","layer":3},{"info":"⫖↰⪸2649⪛⫖↰⪸152A=⫖↰⪸111B","layer":3},{"info":"NaN-⫖↰⪸111B=NaN","layer":2},{"info":"↔NaN=⫖↰⪸-B2","layer":1},{"info":"⫓⪴⫖↰⪸-B2=⫖↰⪸A484","layer":0}]}
{"id":109,"expression_no_base_symbol":"((≦∁($3582$⪨≂$4077$))-(⫛⫱⨽(↥$2946$)))⋓(($2842$*$1684$)⊴($3488$+$4764$)⫥∨⫟((⋗⩬⋾$4050$)⊪))","expression":"((≦∁(⫖↰⪸20A6⪨≂⫖↰⪸2439))-(⫛⫱⨽(↥⫖↰⪸1856)))⋓((⫖↰⪸178A*⫖↰⪸B84)⊴(⫖↰⪸2028+⫖↰⪸2910)⫥∨⫟((⋗⩬⋾⫖↰⪸2416)⊪))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":242460,"operation_count":12,"complexity_ratio":20205.0,"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":4077,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2946,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2842,"base":12},"right_expr":{"type":"numeric_atoms","value":1684,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3488,"base":12},"right_expr":{"type":"numeric_atoms","value":4764,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4050,"base":12}}}}},"used_operators":["T2fj7uvVaJ","rysDP5nf3Z","9ICcGScMcE","sdazOOVcIp","DlLNRPXxWL","A8NUZmVepG","KYD54nUTWz","Nsiff2A1zJ","9HNa5Wba9A","W4YGzv6Whe","zVYPLywUTj","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3582","layer":4},{"info":"number node, value=4077","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=4077, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-888","layer":3},{"info":"compute unary expreesion, input=-888, 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=2946","layer":4},{"info":"compute unary expreesion, input=2946, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":3},{"info":"compute unary expreesion, input=39, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=67","layer":1},{"info":"number node, value=2842","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=1684, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4785928","layer":3},{"info":"number node, value=3488","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=4764, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8252","layer":3},{"info":"compute binary expreesion, left_input=4785928, right_input=8252, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12150","layer":3},{"info":"compute unary expreesion, input=-12150, 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=1477634822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1477634822, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"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":0}],"base":12,"result_base":12,"text":"((≦∁(⫖↰⪸20A6⪨≂⫖↰⪸2439))-(⫛⫱⨽(↥⫖↰⪸1856)))⋓((⫖↰⪸178A*⫖↰⪸B84)⊴(⫖↰⪸2028+⫖↰⪸2910)⫥∨⫟((⋗⩬⋾⫖↰⪸2416)⊪))=NaN","reverse_text":"NaN=((≦∁(⫖↰⪸20A6⪨≂⫖↰⪸2439))-(⫛⫱⨽(↥⫖↰⪸1856)))⋓((⫖↰⪸178A*⫖↰⪸B84)⊴(⫖↰⪸2028+⫖↰⪸2910)⫥∨⫟((⋗⩬⋾⫖↰⪸2416)⊪))","cot":[{"info":"⫖↰⪸20A6⪨≂⫖↰⪸2439=⫖↰⪸-620","layer":3},{"info":"≦∁⫖↰⪸-620=⫖↰⪸57","layer":2},{"info":"↥⫖↰⪸1856=⫖↰⪸33","layer":3},{"info":"⫛⫱⨽⫖↰⪸33=⫖↰⪸0","layer":2},{"info":"⫖↰⪸57-⫖↰⪸0=⫖↰⪸57","layer":1},{"info":"⫖↰⪸178A*⫖↰⪸B84=⫖↰⪸1729774","layer":3},{"info":"⫖↰⪸2028+⫖↰⪸2910=⫖↰⪸4938","layer":3},{"info":"⫖↰⪸1729774⊴⫖↰⪸4938=NaN","layer":2},{"info":"⋗⩬⋾⫖↰⪸2416=⫖↰⪸-7046","layer":3},{"info":"⫖↰⪸-7046⊪=⫖↰⪸352A348B2","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸352A348B2=NaN","layer":1},{"info":"⫖↰⪸57⋓NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"(($1350$≎⊠⪸$7239$)⪘⫢$2936$⇷$3653$+⇶⊼($1829$⨽$7391$/(∂$1649$)))∀⇚≩($3124$+⇶⊼$3857$⊉≛↸$2130$⫸⊐$4316$/(⊙↵-$2948$)⨎($1327$-$4437$))","expression":"((⫖↰⪸946≎⊠⪸⫖↰⪸4233)⪘⫢⫖↰⪸1848⇷⫖↰⪸2145+⇶⊼(⫖↰⪸1085⨽⫖↰⪸433B/(∂⫖↰⪸B55)))∀⇚≩(⫖↰⪸1984+⇶⊼⫖↰⪸2295⊉≛↸⫖↰⪸1296⫸⊐⫖↰⪸25B8/(⊙↵-⫖↰⪸1858)⨎(⫖↰⪸927-⫖↰⪸2699))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46261,"operation_count":15,"complexity_ratio":3084.0666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1350,"base":12},"right_expr":{"type":"numeric_atoms","value":7239,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2936,"base":12},"right_expr":{"type":"numeric_atoms","value":3653,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1829,"base":12},"right_expr":{"type":"numeric_atoms","value":7391,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1649,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3124,"base":12},"right_expr":{"type":"numeric_atoms","value":3857,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2130,"base":12},"right_expr":{"type":"numeric_atoms","value":4316,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2948,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":4437,"base":12}}}}},"used_operators":["LRNGc0VcxI","TpPTUOHfaN","oacrs7FA3X","bJkvcejdHO","mp7IySMOzn","XhwjNDsVaA","8HhzD0ZcuI","Uaa54Peajs","DZ8iAZOCBD","mqXw5SEYmG","rJVOvQCfKK","oWn0xqSxBt","rysDP5nf3Z"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":4},{"info":"number node, value=7239","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=7239, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=349177","layer":3},{"info":"number node, value=2936","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=3653, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7306","layer":3},{"info":"compute binary expreesion, left_input=349177, right_input=7306, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=698230","layer":2},{"info":"number node, value=1829","layer":4},{"info":"number node, value=7391","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=7391, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10056582","layer":3},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, 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=-10056582, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=698230, 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=3124","layer":4},{"info":"number node, value=3857","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=3857, 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=2130","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=4316, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17139","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17139, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=2948","layer":4},{"info":"compute unary expreesion, input=2948, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=4437, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3110","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-3110, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3110","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3110, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸946≎⊠⪸⫖↰⪸4233)⪘⫢⫖↰⪸1848⇷⫖↰⪸2145+⇶⊼(⫖↰⪸1085⨽⫖↰⪸433B/(∂⫖↰⪸B55)))∀⇚≩(⫖↰⪸1984+⇶⊼⫖↰⪸2295⊉≛↸⫖↰⪸1296⫸⊐⫖↰⪸25B8/(⊙↵-⫖↰⪸1858)⨎(⫖↰⪸927-⫖↰⪸2699))=NaN","reverse_text":"NaN=((⫖↰⪸946≎⊠⪸⫖↰⪸4233)⪘⫢⫖↰⪸1848⇷⫖↰⪸2145+⇶⊼(⫖↰⪸1085⨽⫖↰⪸433B/(∂⫖↰⪸B55)))∀⇚≩(⫖↰⪸1984+⇶⊼⫖↰⪸2295⊉≛↸⫖↰⪸1296⫸⊐⫖↰⪸25B8/(⊙↵-⫖↰⪸1858)⨎(⫖↰⪸927-⫖↰⪸2699))","cot":[{"info":"⫖↰⪸946≎⊠⪸⫖↰⪸4233=⫖↰⪸14A0A1","layer":3},{"info":"⫖↰⪸1848⇷⫖↰⪸2145=⫖↰⪸428A","layer":3},{"info":"⫖↰⪸14A0A1⪘⫢⫖↰⪸428A=⫖↰⪸29809A","layer":2},{"info":"⫖↰⪸1085⨽⫖↰⪸433B=⫖↰⪸-344B946","layer":3},{"info":"∂⫖↰⪸B55=NaN","layer":3},{"info":"⫖↰⪸-344B946/NaN=NaN","layer":2},{"info":"⫖↰⪸29809A+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸1984+⇶⊼⫖↰⪸2295=NaN","layer":3},{"info":"⫖↰⪸1296⫸⊐⫖↰⪸25B8=⫖↰⪸9B03","layer":3},{"info":"NaN⊉≛↸⫖↰⪸9B03=NaN","layer":2},{"info":"⊙↵-⫖↰⪸1858=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸927-⫖↰⪸2699=⫖↰⪸-1972","layer":3},{"info":"⫖↰⪸-1⨎⫖↰⪸-1972=⫖↰⪸-1972","layer":2},{"info":"NaN/⫖↰⪸-1972=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"(∂(($2137$⋓$5561$)∑⇟⊟($1566$+$3097$)))⨽($8087$⨰$2192$)⨪↰⇹($3190$⨰$1409$)⋓($1058$⩨$5813$-$7111$⨪↰⇹$2124$)","expression":"(∂((⫖↰⪸12A1⋓⫖↰⪸3275)∑⇟⊟(⫖↰⪸AA6+⫖↰⪸1961)))⨽(⫖↰⪸481B⨰⫖↰⪸1328)⨪↰⇹(⫖↰⪸1A1A⨰⫖↰⪸995)⋓(⫖↰⪸742⩨⫖↰⪸3445-⫖↰⪸4147⨪↰⇹⫖↰⪸1290)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13076,"operation_count":12,"complexity_ratio":1089.6666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2137,"base":12},"right_expr":{"type":"numeric_atoms","value":5561,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1566,"base":12},"right_expr":{"type":"numeric_atoms","value":3097,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8087,"base":12},"right_expr":{"type":"numeric_atoms","value":2192,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3190,"base":12},"right_expr":{"type":"numeric_atoms","value":1409,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":5813,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7111,"base":12},"right_expr":{"type":"numeric_atoms","value":2124,"base":12}}}}},"used_operators":["8HhzD0ZcuI","Uaa54Peajs","U7g4x0WXJJ","T2fj7uvVaJ","W4YGzv6Whe","tmPS8pqC7x","eewbuw0ToL","rysDP5nf3Z","2DlMacCsIx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"number node, value=5561","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=5561, 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=1566","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=3097, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4663","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4663, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=8087","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=8087, right_input=2192, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5905","layer":3},{"info":"number node, value=3190","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=1409, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1791","layer":3},{"info":"compute binary expreesion, left_input=5905, right_input=1791, 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=5905","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=5813","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=5813, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"number node, value=7111","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=7111, right_input=2124, 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=7111","layer":3},{"info":"compute binary expreesion, left_input=-15, right_input=7111, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7126","layer":2},{"info":"compute binary expreesion, left_input=5905, right_input=-7126, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂((⫖↰⪸12A1⋓⫖↰⪸3275)∑⇟⊟(⫖↰⪸AA6+⫖↰⪸1961)))⨽(⫖↰⪸481B⨰⫖↰⪸1328)⨪↰⇹(⫖↰⪸1A1A⨰⫖↰⪸995)⋓(⫖↰⪸742⩨⫖↰⪸3445-⫖↰⪸4147⨪↰⇹⫖↰⪸1290)=NaN","reverse_text":"NaN=(∂((⫖↰⪸12A1⋓⫖↰⪸3275)∑⇟⊟(⫖↰⪸AA6+⫖↰⪸1961)))⨽(⫖↰⪸481B⨰⫖↰⪸1328)⨪↰⇹(⫖↰⪸1A1A⨰⫖↰⪸995)⋓(⫖↰⪸742⩨⫖↰⪸3445-⫖↰⪸4147⨪↰⇹⫖↰⪸1290)","cot":[{"info":"⫖↰⪸12A1⋓⫖↰⪸3275=⫖↰⪸0","layer":3},{"info":"⫖↰⪸AA6+⫖↰⪸1961=⫖↰⪸2847","layer":3},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸2847=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸481B⨰⫖↰⪸1328=⫖↰⪸3501","layer":3},{"info":"⫖↰⪸1A1A⨰⫖↰⪸995=⫖↰⪸1053","layer":3},{"info":"⫖↰⪸3501⨪↰⇹⫖↰⪸1053=⫖↰⪸3501","layer":2},{"info":"⫖↰⪸742⩨⫖↰⪸3445=⫖↰⪸-13","layer":3},{"info":"⫖↰⪸4147⨪↰⇹⫖↰⪸1290=⫖↰⪸4147","layer":3},{"info":"⫖↰⪸-13-⫖↰⪸4147=⫖↰⪸-415A","layer":2},{"info":"⫖↰⪸3501⋓⫖↰⪸-415A=⫖↰⪸0","layer":1},{"info":"NaN⨽⫖↰⪸0=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(($1400$⪛$1646$)≹⇙⪍($5229$⨽$6097$)%($3729$⨳⩥⨓$1108$)∑⇟⊟($1523$+⇶⊼$3606$))⨪↰⇹($4232$-$3020$/$6358$⨪↰⇹$4138$)≹⇙⪍($5355$≹⇙⪍$1138$∼($2849$⪘⫢$2401$))","expression":"((⫖↰⪸988⪛⫖↰⪸B52)≹⇙⪍(⫖↰⪸3039⨽⫖↰⪸3641)%(⫖↰⪸21A9⨳⩥⨓⫖↰⪸784)∑⇟⊟(⫖↰⪸A6B+⇶⊼⫖↰⪸2106))⨪↰⇹(⫖↰⪸2548-⫖↰⪸18B8/⫖↰⪸381A⨪↰⇹⫖↰⪸248A)≹⇙⪍(⫖↰⪸3123≹⇙⪍⫖↰⪸7AA∼(⫖↰⪸1795⪘⫢⫖↰⪸1481))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11630,"operation_count":15,"complexity_ratio":775.3333333333334,"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":1400,"base":12},"right_expr":{"type":"numeric_atoms","value":1646,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5229,"base":12},"right_expr":{"type":"numeric_atoms","value":6097,"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":1108,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1523,"base":12},"right_expr":{"type":"numeric_atoms","value":3606,"base":12}}}},"right_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":3020,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6358,"base":12},"right_expr":{"type":"numeric_atoms","value":4138,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5355,"base":12},"right_expr":{"type":"numeric_atoms","value":1138,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2849,"base":12},"right_expr":{"type":"numeric_atoms","value":2401,"base":12}}}}},"used_operators":["tmPS8pqC7x","k8jYdgA6NY","AHs5Up7iyr","uFcxV4UQCh","8HhzD0ZcuI","U7g4x0WXJJ","nCS4ZIUYfx","TpPTUOHfaN","XhwjNDsVaA","rysDP5nf3Z","DyGG3AbaNP","oacrs7FA3X"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1646, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1400","layer":3},{"info":"number node, value=5229","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=5229, right_input=6097, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-82044300","layer":3},{"info":"compute binary expreesion, left_input=1400, right_input=-82044300, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3729","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=3729, right_input=1108, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2621","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=3606","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=3606, 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=-2621, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4232","layer":4},{"info":"number node, value=3020","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=3020, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1212","layer":3},{"info":"number node, value=6358","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=6358, right_input=4138, 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=6358","layer":3},{"info":"compute binary expreesion, left_input=1212, right_input=6358, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=5355","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=1138, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2849","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=2401, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5574","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5574, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":"((⫖↰⪸988⪛⫖↰⪸B52)≹⇙⪍(⫖↰⪸3039⨽⫖↰⪸3641)%(⫖↰⪸21A9⨳⩥⨓⫖↰⪸784)∑⇟⊟(⫖↰⪸A6B+⇶⊼⫖↰⪸2106))⨪↰⇹(⫖↰⪸2548-⫖↰⪸18B8/⫖↰⪸381A⨪↰⇹⫖↰⪸248A)≹⇙⪍(⫖↰⪸3123≹⇙⪍⫖↰⪸7AA∼(⫖↰⪸1795⪘⫢⫖↰⪸1481))=NaN","reverse_text":"NaN=((⫖↰⪸988⪛⫖↰⪸B52)≹⇙⪍(⫖↰⪸3039⨽⫖↰⪸3641)%(⫖↰⪸21A9⨳⩥⨓⫖↰⪸784)∑⇟⊟(⫖↰⪸A6B+⇶⊼⫖↰⪸2106))⨪↰⇹(⫖↰⪸2548-⫖↰⪸18B8/⫖↰⪸381A⨪↰⇹⫖↰⪸248A)≹⇙⪍(⫖↰⪸3123≹⇙⪍⫖↰⪸7AA∼(⫖↰⪸1795⪘⫢⫖↰⪸1481))","cot":[{"info":"⫖↰⪸988⪛⫖↰⪸B52=⫖↰⪸988","layer":3},{"info":"⫖↰⪸3039⨽⫖↰⪸3641=⫖↰⪸-23587410","layer":3},{"info":"⫖↰⪸988≹⇙⪍⫖↰⪸-23587410=NaN","layer":2},{"info":"⫖↰⪸21A9⨳⩥⨓⫖↰⪸784=⫖↰⪸-1625","layer":3},{"info":"⫖↰⪸A6B+⇶⊼⫖↰⪸2106=NaN","layer":3},{"info":"⫖↰⪸-1625∑⇟⊟NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫖↰⪸2548-⫖↰⪸18B8=⫖↰⪸850","layer":3},{"info":"⫖↰⪸381A⨪↰⇹⫖↰⪸248A=⫖↰⪸381A","layer":3},{"info":"⫖↰⪸850/⫖↰⪸381A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3123≹⇙⪍⫖↰⪸7AA=NaN","layer":3},{"info":"⫖↰⪸1795⪘⫢⫖↰⪸1481=⫖↰⪸3286","layer":3},{"info":"NaN∼⫖↰⪸3286=NaN","layer":2},{"info":"⫖↰⪸0≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"(↽≂(($1531$∧)⋷(⪲⇎$3899$)))⋥≓≎($3989$⋝⋈⪟$5047$*(+⊝⨔$3983$))⋳⪒($5263$⇷$2598$↺$2789$⪢$1972$)","expression":"(↽≂((⫖↰⪸A77∧)⋷(⪲⇎⫖↰⪸230B)))⋥≓≎(⫖↰⪸2385⋝⋈⪟⫖↰⪸2B07*(+⊝⨔⫖↰⪸237B))⋳⪒(⫖↰⪸3067⇷⫖↰⪸1606↺⫖↰⪸1745⪢⫖↰⪸1184)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":81463,"operation_count":12,"complexity_ratio":6788.583333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1531,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3899,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3989,"base":12},"right_expr":{"type":"numeric_atoms","value":5047,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3983,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5263,"base":12},"right_expr":{"type":"numeric_atoms","value":2598,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2789,"base":12},"right_expr":{"type":"numeric_atoms","value":1972,"base":12}}}}},"used_operators":["Qy55tPpLXF","u6S6b8DprG","23Mk6UjR3U","z63VuFQld9","XPYlsWDdGa","12rbrZMWeM","9HNa5Wba9A","2DDjHMKMc0","DhbWaqg5eL","7j4O788W3g","mp7IySMOzn","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, 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=3899","layer":4},{"info":"compute unary expreesion, input=3899, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7798","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7798, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=3989","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=5047, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3989","layer":3},{"info":"number node, value=3983","layer":4},{"info":"compute unary expreesion, input=3983, 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=3989, right_input=1522, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6071258","layer":2},{"info":"number node, value=5263","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=2598, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5196","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=1972, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=5196, 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=6071258, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(↽≂((⫖↰⪸A77∧)⋷(⪲⇎⫖↰⪸230B)))⋥≓≎(⫖↰⪸2385⋝⋈⪟⫖↰⪸2B07*(+⊝⨔⫖↰⪸237B))⋳⪒(⫖↰⪸3067⇷⫖↰⪸1606↺⫖↰⪸1745⪢⫖↰⪸1184)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(↽≂((⫖↰⪸A77∧)⋷(⪲⇎⫖↰⪸230B)))⋥≓≎(⫖↰⪸2385⋝⋈⪟⫖↰⪸2B07*(+⊝⨔⫖↰⪸237B))⋳⪒(⫖↰⪸3067⇷⫖↰⪸1606↺⫖↰⪸1745⪢⫖↰⪸1184)","cot":[{"info":"⫖↰⪸A77∧=NaN","layer":3},{"info":"⪲⇎⫖↰⪸230B=⫖↰⪸461A","layer":3},{"info":"NaN⋷⫖↰⪸461A=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⫖↰⪸2385⋝⋈⪟⫖↰⪸2B07=⫖↰⪸2385","layer":3},{"info":"+⊝⨔⫖↰⪸237B=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸2385*⫖↰⪸A6A=⫖↰⪸2049562","layer":2},{"info":"⫖↰⪸3067⇷⫖↰⪸1606=⫖↰⪸3010","layer":3},{"info":"⫖↰⪸1745⪢⫖↰⪸1184=NaN","layer":3},{"info":"⫖↰⪸3010↺NaN=NaN","layer":2},{"info":"⫖↰⪸2049562⋳⪒NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":114,"expression_no_base_symbol":"(($3686$↛⩡⫤)⊴($5254$+$4336$)↛⩡⫤)⋷($1070$*$5329$)≭($4687$⫩⊇)≎⊠⪸(≤/$5385$⪮%⊝$6745$)","expression":"((⫖↰⪸2172↛⩡⫤)⊴(⫖↰⪸305A+⫖↰⪸2614)↛⩡⫤)⋷(⫖↰⪸752*⫖↰⪸3101)≭(⫖↰⪸2867⫩⊇)≎⊠⪸(≤/⫖↰⪸3149⪮%⊝⫖↰⪸3AA1)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60602,"operation_count":11,"complexity_ratio":5509.272727272727,"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":3686,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5254,"base":12},"right_expr":{"type":"numeric_atoms","value":4336,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1070,"base":12},"right_expr":{"type":"numeric_atoms","value":5329,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4687,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5385,"base":12},"right_expr":{"type":"numeric_atoms","value":6745,"base":12}}}}},"used_operators":["23Mk6UjR3U","FU0Cs4j7VP","Nsiff2A1zJ","W4YGzv6Whe","bJkvcejdHO","rxpJgHHUmx","9HNa5Wba9A","BjRHVeLaeN","eLAdDNolq6","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3686","layer":4},{"info":"compute unary expreesion, input=3686, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-552675","layer":3},{"info":"number node, value=5254","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=5254, right_input=4336, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9590","layer":3},{"info":"compute binary expreesion, left_input=-552675, right_input=9590, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"number node, value=1070","layer":4},{"info":"number node, value=5329","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=5329, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5702030","layer":3},{"info":"number node, value=4687","layer":4},{"info":"compute unary expreesion, input=4687, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4645","layer":3},{"info":"compute binary expreesion, left_input=5702030, right_input=-4645, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5385","layer":4},{"info":"number node, value=6745","layer":4},{"info":"compute binary expreesion, left_input=5385, right_input=6745, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11086","layer":3},{"info":"compute unary expreesion, input=11086, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-10602","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10602, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 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":"((⫖↰⪸2172↛⩡⫤)⊴(⫖↰⪸305A+⫖↰⪸2614)↛⩡⫤)⋷(⫖↰⪸752*⫖↰⪸3101)≭(⫖↰⪸2867⫩⊇)≎⊠⪸(≤/⫖↰⪸3149⪮%⊝⫖↰⪸3AA1)=NaN","reverse_text":"NaN=((⫖↰⪸2172↛⩡⫤)⊴(⫖↰⪸305A+⫖↰⪸2614)↛⩡⫤)⋷(⫖↰⪸752*⫖↰⪸3101)≭(⫖↰⪸2867⫩⊇)≎⊠⪸(≤/⫖↰⪸3149⪮%⊝⫖↰⪸3AA1)","cot":[{"info":"⫖↰⪸2172↛⩡⫤=⫖↰⪸-227A03","layer":3},{"info":"⫖↰⪸305A+⫖↰⪸2614=⫖↰⪸5672","layer":3},{"info":"⫖↰⪸-227A03⊴⫖↰⪸5672=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⫖↰⪸752*⫖↰⪸3101=⫖↰⪸1AAB952","layer":3},{"info":"⫖↰⪸2867⫩⊇=⫖↰⪸-2831","layer":3},{"info":"⫖↰⪸1AAB952≭⫖↰⪸-2831=NaN","layer":2},{"info":"⫖↰⪸3149⪮%⊝⫖↰⪸3AA1=⫖↰⪸64BA","layer":3},{"info":"≤/⫖↰⪸64BA=⫖↰⪸-6176","layer":2},{"info":"NaN≎⊠⪸⫖↰⪸-6176=⫖↰⪸57","layer":1},{"info":"NaN⋷⫖↰⪸57=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"($4172$≭$4455$)∼(⋗⩬⋾$3553$)∼((⨰⫟⨤$2491$)↺$1104$⨓$7864$)⨪↰⇹((($5751$⨵⪆$1779$)≫≃)⇋≉)","expression":"(⫖↰⪸24B8≭⫖↰⪸26B3)∼(⋗⩬⋾⫖↰⪸2081)∼((⨰⫟⨤⫖↰⪸1537)↺⫖↰⪸780⨓⫖↰⪸4674)⨪↰⇹(((⫖↰⪸33B3⨵⪆⫖↰⪸1043)≫≃)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17018,"operation_count":11,"complexity_ratio":1547.090909090909,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4172,"base":12},"right_expr":{"type":"numeric_atoms","value":4455,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3553,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2491,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1104,"base":12},"right_expr":{"type":"numeric_atoms","value":7864,"base":12}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5751,"base":12},"right_expr":{"type":"numeric_atoms","value":1779,"base":12}}}}},"used_operators":["tmPS8pqC7x","DyGG3AbaNP","rxpJgHHUmx","DpFCA1CohY","7j4O788W3g","Tw270M8GLb","3ViojmjbAp","XIabStNQrY","X99M06cbEe","2DQ55sFlQl"],"dependent_operators":["rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4172","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=4455, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3553","layer":4},{"info":"compute unary expreesion, input=3553, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10659","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10659, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=2491","layer":4},{"info":"compute unary expreesion, input=2491, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=7864","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=7864, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7867","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7867, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-7867","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7867, 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=5751","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=5751, right_input=1779, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1721","layer":2},{"info":"compute unary expreesion, input=1721, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3344, 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":"(⫖↰⪸24B8≭⫖↰⪸26B3)∼(⋗⩬⋾⫖↰⪸2081)∼((⨰⫟⨤⫖↰⪸1537)↺⫖↰⪸780⨓⫖↰⪸4674)⨪↰⇹(((⫖↰⪸33B3⨵⪆⫖↰⪸1043)≫≃)⇋≉)=NaN","reverse_text":"NaN=(⫖↰⪸24B8≭⫖↰⪸26B3)∼(⋗⩬⋾⫖↰⪸2081)∼((⨰⫟⨤⫖↰⪸1537)↺⫖↰⪸780⨓⫖↰⪸4674)⨪↰⇹(((⫖↰⪸33B3⨵⪆⫖↰⪸1043)≫≃)⇋≉)","cot":[{"info":"⫖↰⪸24B8≭⫖↰⪸26B3=NaN","layer":3},{"info":"⋗⩬⋾⫖↰⪸2081=⫖↰⪸-6203","layer":3},{"info":"NaN∼⫖↰⪸-6203=NaN","layer":2},{"info":"⨰⫟⨤⫖↰⪸1537=NaN","layer":3},{"info":"⫖↰⪸780⨓⫖↰⪸4674=⫖↰⪸-4677","layer":3},{"info":"NaN↺⫖↰⪸-4677=⫖↰⪸-4677","layer":2},{"info":"NaN∼⫖↰⪸-4677=NaN","layer":1},{"info":"⫖↰⪸33B3⨵⪆⫖↰⪸1043=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114≫≃=⫖↰⪸BB5","layer":2},{"info":"⫖↰⪸BB5⇋≉=⫖↰⪸1B28","layer":1},{"info":"NaN⨪↰⇹⫖↰⪸1B28=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"(($3325$⫩⊇)⋷($2508$∧))∼(($2963$⊉≛↸$3753$)⇷(↥$1630$))⩚⊴⇥((≤/($2678$⨸⪁$2382$))⫌⩹⨱)","expression":"((⫖↰⪸1B11⫩⊇)⋷(⫖↰⪸1550∧))∼((⫖↰⪸186B⊉≛↸⫖↰⪸2209)⇷(↥⫖↰⪸B3A))⩚⊴⇥((≤/(⫖↰⪸1672⨸⪁⫖↰⪸1466))⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":83567,"operation_count":11,"complexity_ratio":7597.0,"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":3325,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2508,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2963,"base":12},"right_expr":{"type":"numeric_atoms","value":3753,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1630,"base":12}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2678,"base":12},"right_expr":{"type":"numeric_atoms","value":2382,"base":12}}}}},"used_operators":["NTOWxs364D","DyGG3AbaNP","23Mk6UjR3U","BjRHVeLaeN","z63VuFQld9","mp7IySMOzn","DZ8iAZOCBD","A8NUZmVepG","EBcxylXtPf","eLAdDNolq6","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫖↰⪸A332","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3325","layer":4},{"info":"compute unary expreesion, input=3325, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3283","layer":3},{"info":"number node, value=2508","layer":4},{"info":"compute unary expreesion, input=2508, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3283, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6566","layer":2},{"info":"number node, value=2963","layer":4},{"info":"number node, value=3753","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=3753, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5926","layer":3},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"compute binary expreesion, left_input=5926, right_input=49, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=98","layer":2},{"info":"compute binary expreesion, left_input=6566, right_input=98, 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=2678","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=2382, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10120","layer":3},{"info":"compute unary expreesion, input=10120, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-9636","layer":2},{"info":"compute unary expreesion, input=-9636, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-17871","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-17871, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=17750","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B11⫩⊇)⋷(⫖↰⪸1550∧))∼((⫖↰⪸186B⊉≛↸⫖↰⪸2209)⇷(↥⫖↰⪸B3A))⩚⊴⇥((≤/(⫖↰⪸1672⨸⪁⫖↰⪸1466))⫌⩹⨱)=⫖↰⪸A332","reverse_text":"⫖↰⪸A332=((⫖↰⪸1B11⫩⊇)⋷(⫖↰⪸1550∧))∼((⫖↰⪸186B⊉≛↸⫖↰⪸2209)⇷(↥⫖↰⪸B3A))⩚⊴⇥((≤/(⫖↰⪸1672⨸⪁⫖↰⪸1466))⫌⩹⨱)","cot":[{"info":"⫖↰⪸1B11⫩⊇=⫖↰⪸-1A97","layer":3},{"info":"⫖↰⪸1550∧=NaN","layer":3},{"info":"⫖↰⪸-1A97⋷NaN=⫖↰⪸3972","layer":2},{"info":"⫖↰⪸186B⊉≛↸⫖↰⪸2209=⫖↰⪸351A","layer":3},{"info":"↥⫖↰⪸B3A=⫖↰⪸41","layer":3},{"info":"⫖↰⪸351A⇷⫖↰⪸41=⫖↰⪸82","layer":2},{"info":"⫖↰⪸3972∼⫖↰⪸82=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1672⨸⪁⫖↰⪸1466=⫖↰⪸5A34","layer":3},{"info":"≤/⫖↰⪸5A34=⫖↰⪸-56B0","layer":2},{"info":"⫖↰⪸-56B0⫌⩹⨱=⫖↰⪸-A413","layer":1},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸-A413=⫖↰⪸A332","layer":0}]}
{"id":117,"expression_no_base_symbol":"(($3870$⪒$9280$)⨎$2608$∀⇚≩$4823$)≎⊠⪸(($4003$⪄$4446$)⨐⩸⫘($5346$⊭∹↮))⋳⪒(($2994$∲⫓$1160$⪨≂$3354$⪛$5055$)%($3277$⫌⩹⨱)⪛($4805$⫌⩹⨱))","expression":"((⫖↰⪸22A6⪒⫖↰⪸5454)⨎⫖↰⪸1614∀⇚≩⫖↰⪸295B)≎⊠⪸((⫖↰⪸2397⪄⫖↰⪸26A6)⨐⩸⫘(⫖↰⪸3116⊭∹↮))⋳⪒((⫖↰⪸1896∲⫓⫖↰⪸808⪨≂⫖↰⪸1B36⪛⫖↰⪸2B13)%(⫖↰⪸1A91⫌⩹⨱)⪛(⫖↰⪸2945⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18410,"operation_count":15,"complexity_ratio":1227.3333333333333,"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":3870,"base":12},"right_expr":{"type":"numeric_atoms","value":9280,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2608,"base":12},"right_expr":{"type":"numeric_atoms","value":4823,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4003,"base":12},"right_expr":{"type":"numeric_atoms","value":4446,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5346,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2994,"base":12},"right_expr":{"type":"numeric_atoms","value":1160,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3354,"base":12},"right_expr":{"type":"numeric_atoms","value":5055,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3277,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4805,"base":12}}}}},"used_operators":["12rbrZMWeM","bJkvcejdHO","rJVOvQCfKK","f6k1SAg4EE","LRNGc0VcxI","fu6greOZ01","SUmda5xLS4","xNBdhnnwKq","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","uFcxV4UQCh","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-A52","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3870","layer":4},{"info":"number node, value=9280","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=9280, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13150","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=4823","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=4823, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-13150, 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=4003","layer":4},{"info":"number node, value=4446","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=4446, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-606317","layer":3},{"info":"number node, value=5346","layer":4},{"info":"compute unary expreesion, input=5346, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10692","layer":3},{"info":"compute binary expreesion, left_input=-606317, right_input=10692, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2994","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=1160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3354","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=5055, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3354","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3354, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6606","layer":2},{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7955","layer":3},{"info":"number node, value=4805","layer":4},{"info":"compute unary expreesion, input=4805, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11011","layer":3},{"info":"compute binary expreesion, left_input=7955, right_input=11011, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=7955","layer":2},{"info":"compute binary expreesion, left_input=-6606, right_input=7955, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1349","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1349, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1502","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸22A6⪒⫖↰⪸5454)⨎⫖↰⪸1614∀⇚≩⫖↰⪸295B)≎⊠⪸((⫖↰⪸2397⪄⫖↰⪸26A6)⨐⩸⫘(⫖↰⪸3116⊭∹↮))⋳⪒((⫖↰⪸1896∲⫓⫖↰⪸808⪨≂⫖↰⪸1B36⪛⫖↰⪸2B13)%(⫖↰⪸1A91⫌⩹⨱)⪛(⫖↰⪸2945⫌⩹⨱))=⫖↰⪸-A52","reverse_text":"⫖↰⪸-A52=((⫖↰⪸22A6⪒⫖↰⪸5454)⨎⫖↰⪸1614∀⇚≩⫖↰⪸295B)≎⊠⪸((⫖↰⪸2397⪄⫖↰⪸26A6)⨐⩸⫘(⫖↰⪸3116⊭∹↮))⋳⪒((⫖↰⪸1896∲⫓⫖↰⪸808⪨≂⫖↰⪸1B36⪛⫖↰⪸2B13)%(⫖↰⪸1A91⫌⩹⨱)⪛(⫖↰⪸2945⫌⩹⨱))","cot":[{"info":"⫖↰⪸22A6⪒⫖↰⪸5454=⫖↰⪸-773A","layer":3},{"info":"⫖↰⪸1614∀⇚≩⫖↰⪸295B=NaN","layer":3},{"info":"⫖↰⪸-773A⨎NaN=NaN","layer":2},{"info":"⫖↰⪸2397⪄⫖↰⪸26A6=⫖↰⪸-252A65","layer":3},{"info":"⫖↰⪸3116⊭∹↮=⫖↰⪸6230","layer":3},{"info":"⫖↰⪸-252A65⨐⩸⫘⫖↰⪸6230=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1896∲⫓⫖↰⪸808=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1B36⪛⫖↰⪸2B13=⫖↰⪸1B36","layer":3},{"info":"⫖↰⪸0⪨≂⫖↰⪸1B36=⫖↰⪸-39A6","layer":2},{"info":"⫖↰⪸1A91⫌⩹⨱=⫖↰⪸472B","layer":3},{"info":"⫖↰⪸2945⫌⩹⨱=⫖↰⪸6457","layer":3},{"info":"⫖↰⪸472B⪛⫖↰⪸6457=⫖↰⪸472B","layer":2},{"info":"⫖↰⪸-39A6%⫖↰⪸472B=⫖↰⪸945","layer":1},{"info":"⫖↰⪸57⋳⪒⫖↰⪸945=⫖↰⪸-A52","layer":0}]}
{"id":118,"expression_no_base_symbol":"(⨰⫟⨤($1016$+⇶⊼$2068$)↬($5185$⪄$2729$))⇷($2277$⇷$4044$+$1726$⫸⊐$2017$↪⪝)","expression":"(⨰⫟⨤(⫖↰⪸708+⇶⊼⫖↰⪸1244)↬(⫖↰⪸3001⪄⫖↰⪸16B5))⇷(⫖↰⪸1399⇷⫖↰⪸2410+⫖↰⪸BBA⫸⊐⫖↰⪸1201↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":32742,"operation_count":9,"complexity_ratio":3638.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":2068,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5185,"base":12},"right_expr":{"type":"numeric_atoms","value":2729,"base":12}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2277,"base":12},"right_expr":{"type":"numeric_atoms","value":4044,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1726,"base":12},"right_expr":{"type":"numeric_atoms","value":2017,"base":12}}}}},"used_operators":["mp7IySMOzn","Tw270M8GLb","B5M0gjZbta","TpPTUOHfaN","SUmda5xLS4","l07mrZUIn9","W4YGzv6Whe","mqXw5SEYmG"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸468B37230","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2068, 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=5185","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=5185, right_input=2729, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-774385","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-774385, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2277","layer":4},{"info":"number node, value=4044","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=4044, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8088","layer":3},{"info":"number node, value=1726","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=2017, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7943","layer":3},{"info":"compute binary expreesion, left_input=8088, right_input=7943, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16031","layer":2},{"info":"compute unary expreesion, input=16031, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=980808642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=980808642, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1961617284","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤(⫖↰⪸708+⇶⊼⫖↰⪸1244)↬(⫖↰⪸3001⪄⫖↰⪸16B5))⇷(⫖↰⪸1399⇷⫖↰⪸2410+⫖↰⪸BBA⫸⊐⫖↰⪸1201↪⪝)=⫖↰⪸468B37230","reverse_text":"⫖↰⪸468B37230=(⨰⫟⨤(⫖↰⪸708+⇶⊼⫖↰⪸1244)↬(⫖↰⪸3001⪄⫖↰⪸16B5))⇷(⫖↰⪸1399⇷⫖↰⪸2410+⫖↰⪸BBA⫸⊐⫖↰⪸1201↪⪝)","cot":[{"info":"⫖↰⪸708+⇶⊼⫖↰⪸1244=NaN","layer":3},{"info":"⫖↰⪸3001⪄⫖↰⪸16B5=⫖↰⪸-314181","layer":3},{"info":"NaN↬⫖↰⪸-314181=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸1399⇷⫖↰⪸2410=⫖↰⪸4820","layer":3},{"info":"⫖↰⪸BBA⫸⊐⫖↰⪸1201=⫖↰⪸471B","layer":3},{"info":"⫖↰⪸4820+⫖↰⪸471B=⫖↰⪸933B","layer":2},{"info":"⫖↰⪸933B↪⪝=⫖↰⪸234579716","layer":1},{"info":"NaN⇷⫖↰⪸234579716=⫖↰⪸468B37230","layer":0}]}
{"id":119,"expression_no_base_symbol":"(⪲⇎(($3426$%$8307$)⨸⪁(⪝⪂⫅$8469$)))⪄($1724$⋷$4263$↪⪝)+⇶⊼((↽≂$2290$)+⇶⊼$3188$⇷$5051$)","expression":"(⪲⇎((⫖↰⪸1B96%⫖↰⪸4983)⨸⪁(⪝⪂⫅⫖↰⪸4A99)))⪄(⫖↰⪸BB8⋷⫖↰⪸2573↪⪝)+⇶⊼((↽≂⫖↰⪸13AA)+⇶⊼⫖↰⪸1A18⇷⫖↰⪸2B0B)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45594,"operation_count":11,"complexity_ratio":4144.909090909091,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3426,"base":12},"right_expr":{"type":"numeric_atoms","value":8307,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":8469,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1724,"base":12},"right_expr":{"type":"numeric_atoms","value":4263,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2290,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3188,"base":12},"right_expr":{"type":"numeric_atoms","value":5051,"base":12}}}}},"used_operators":["SUmda5xLS4","XPYlsWDdGa","g55IO6H4Gj","k8jYdgA6NY","XTarYq4gQB","TpPTUOHfaN","l07mrZUIn9","23Mk6UjR3U","u6S6b8DprG","mp7IySMOzn"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3426","layer":4},{"info":"number node, value=8307","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=8307, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3426","layer":3},{"info":"number node, value=8469","layer":4},{"info":"compute unary expreesion, input=8469, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1244943","layer":3},{"info":"compute binary expreesion, left_input=3426, right_input=-1244943, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2483034","layer":2},{"info":"compute unary expreesion, input=-2483034, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4966068","layer":1},{"info":"number node, value=1724","layer":4},{"info":"number node, value=4263","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=4263, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6802","layer":3},{"info":"compute unary expreesion, input=6802, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=416159964","layer":2},{"info":"number node, value=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4580","layer":3},{"info":"number node, value=3188","layer":4},{"info":"number node, value=5051","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=5051, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10102","layer":3},{"info":"compute binary expreesion, left_input=-4580, right_input=10102, 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=416159964, 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=-4966068, 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":"(⪲⇎((⫖↰⪸1B96%⫖↰⪸4983)⨸⪁(⪝⪂⫅⫖↰⪸4A99)))⪄(⫖↰⪸BB8⋷⫖↰⪸2573↪⪝)+⇶⊼((↽≂⫖↰⪸13AA)+⇶⊼⫖↰⪸1A18⇷⫖↰⪸2B0B)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⪲⇎((⫖↰⪸1B96%⫖↰⪸4983)⨸⪁(⪝⪂⫅⫖↰⪸4A99)))⪄(⫖↰⪸BB8⋷⫖↰⪸2573↪⪝)+⇶⊼((↽≂⫖↰⪸13AA)+⇶⊼⫖↰⪸1A18⇷⫖↰⪸2B0B)","cot":[{"info":"⫖↰⪸1B96%⫖↰⪸4983=⫖↰⪸1B96","layer":3},{"info":"⪝⪂⫅⫖↰⪸4A99=⫖↰⪸-500553","layer":3},{"info":"⫖↰⪸1B96⨸⪁⫖↰⪸-500553=⫖↰⪸-9B8B36","layer":2},{"info":"⪲⇎⫖↰⪸-9B8B36=⫖↰⪸-17B5A70","layer":1},{"info":"⫖↰⪸BB8⋷⫖↰⪸2573=⫖↰⪸3B2A","layer":3},{"info":"⫖↰⪸3B2A↪⪝=⫖↰⪸B7455390","layer":2},{"info":"↽≂⫖↰⪸13AA=⫖↰⪸-2798","layer":3},{"info":"⫖↰⪸1A18⇷⫖↰⪸2B0B=⫖↰⪸5A1A","layer":3},{"info":"⫖↰⪸-2798+⇶⊼⫖↰⪸5A1A=NaN","layer":2},{"info":"⫖↰⪸B7455390+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸-17B5A70⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":120,"expression_no_base_symbol":"$4247$⪛$1693$∑⇟⊟($4292$⊦⊿)⩷∴($5001$∀⇚≩$1021$⩨$1509$⩚⊴⇥$8505$)⨰(($4726$*$3638$%$4499$⪢$1286$)⋓$4396$⪢$1009$∼($5984$≦≮≮))","expression":"⫖↰⪸255B⪛⫖↰⪸B91∑⇟⊟(⫖↰⪸2598⊦⊿)⩷∴(⫖↰⪸2A89∀⇚≩⫖↰⪸711⩨⫖↰⪸A59⩚⊴⇥⫖↰⪸4B09)⨰((⫖↰⪸289A*⫖↰⪸2132%⫖↰⪸272B⪢⫖↰⪸8B2)⋓⫖↰⪸2664⪢⫖↰⪸701∼(⫖↰⪸3568≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43342,"operation_count":15,"complexity_ratio":2889.4666666666667,"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":4247,"base":12},"right_expr":{"type":"numeric_atoms","value":1693,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4292,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5001,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1509,"base":12},"right_expr":{"type":"numeric_atoms","value":8505,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4726,"base":12},"right_expr":{"type":"numeric_atoms","value":3638,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4499,"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":4396,"base":12},"right_expr":{"type":"numeric_atoms","value":1009,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5984,"base":12}}}}},"used_operators":["eewbuw0ToL","9FxExcQeMw","U7g4x0WXJJ","uFcxV4UQCh","14qkJME0vr","2DlMacCsIx","LRNGc0VcxI","NTOWxs364D","T2fj7uvVaJ","k8jYdgA6NY","9HNa5Wba9A","dWAJyo7jo9","DyGG3AbaNP","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4247","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=1693, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=861","layer":3},{"info":"number node, value=4292","layer":4},{"info":"compute unary expreesion, input=4292, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12955","layer":3},{"info":"compute binary expreesion, left_input=861, right_input=-12955, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5001","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=1021, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1509","layer":4},{"info":"number node, value=8505","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=8505, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10135","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10135, 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=nan, 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=4726","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=4726, right_input=3638, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17193188","layer":3},{"info":"number node, value=4499","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=1286, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17193188, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4396","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=1009, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=5984","layer":4},{"info":"compute unary expreesion, input=5984, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-17952","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17952, 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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸255B⪛⫖↰⪸B91∑⇟⊟(⫖↰⪸2598⊦⊿)⩷∴(⫖↰⪸2A89∀⇚≩⫖↰⪸711⩨⫖↰⪸A59⩚⊴⇥⫖↰⪸4B09)⨰((⫖↰⪸289A*⫖↰⪸2132%⫖↰⪸272B⪢⫖↰⪸8B2)⋓⫖↰⪸2664⪢⫖↰⪸701∼(⫖↰⪸3568≦≮≮))=NaN","reverse_text":"NaN=⫖↰⪸255B⪛⫖↰⪸B91∑⇟⊟(⫖↰⪸2598⊦⊿)⩷∴(⫖↰⪸2A89∀⇚≩⫖↰⪸711⩨⫖↰⪸A59⩚⊴⇥⫖↰⪸4B09)⨰((⫖↰⪸289A*⫖↰⪸2132%⫖↰⪸272B⪢⫖↰⪸8B2)⋓⫖↰⪸2664⪢⫖↰⪸701∼(⫖↰⪸3568≦≮≮))","cot":[{"info":"⫖↰⪸255B⪛⫖↰⪸B91=⫖↰⪸5B9","layer":3},{"info":"⫖↰⪸2598⊦⊿=⫖↰⪸-75B7","layer":3},{"info":"⫖↰⪸5B9∑⇟⊟⫖↰⪸-75B7=NaN","layer":2},{"info":"⫖↰⪸2A89∀⇚≩⫖↰⪸711=NaN","layer":3},{"info":"⫖↰⪸A59⩚⊴⇥⫖↰⪸4B09=⫖↰⪸-5A47","layer":3},{"info":"NaN⩨⫖↰⪸-5A47=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸289A*⫖↰⪸2132=⫖↰⪸5911918","layer":3},{"info":"⫖↰⪸272B⪢⫖↰⪸8B2=NaN","layer":3},{"info":"⫖↰⪸5911918%NaN=NaN","layer":2},{"info":"⫖↰⪸2664⪢⫖↰⪸701=NaN","layer":3},{"info":"⫖↰⪸3568≦≮≮=⫖↰⪸-A480","layer":3},{"info":"NaN∼⫖↰⪸-A480=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"(($1942$-$3194$)⋓($2874$≦≮≮))≹⇙⪍((↩$2514$)⪒$1803$≧⫂∧$3351$)⋳⪒(($2374$⇼⇔∾$5681$)⨎($1351$⪐)⋥≓≎((+⊝⨔$4469$)%($1767$⊭∹↮)))","expression":"((⫖↰⪸115A-⫖↰⪸1A22)⋓(⫖↰⪸17B6≦≮≮))≹⇙⪍((↩⫖↰⪸1556)⪒⫖↰⪸1063≧⫂∧⫖↰⪸1B33)⋳⪒((⫖↰⪸145A⇼⇔∾⫖↰⪸3355)⨎(⫖↰⪸947⪐)⋥≓≎((+⊝⨔⫖↰⪸2705)%(⫖↰⪸1033⊭∹↮)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":101,"operation_count":15,"complexity_ratio":6.733333333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1942,"base":12},"right_expr":{"type":"numeric_atoms","value":3194,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2874,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2514,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1803,"base":12},"right_expr":{"type":"numeric_atoms","value":3351,"base":12}}}},"right_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":5681,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1351,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4469,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1767,"base":12}}}}},"used_operators":["12rbrZMWeM","AHs5Up7iyr","T2fj7uvVaJ","rysDP5nf3Z","D4vGDi5EA2","f6k1SAg4EE","jLgFTUHLKL","Ph9nP6C5qx","Qy55tPpLXF","rJVOvQCfKK","tifHPKVTfV","eH2TOUuTDT","k8jYdgA6NY","DhbWaqg5eL","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=3194, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1252","layer":3},{"info":"number node, value=2874","layer":4},{"info":"compute unary expreesion, input=2874, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8622","layer":3},{"info":"compute binary expreesion, left_input=-1252, right_input=-8622, 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=2514","layer":4},{"info":"compute unary expreesion, input=2514, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-17332","layer":3},{"info":"number node, value=1803","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=3351, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2878","layer":3},{"info":"compute binary expreesion, left_input=-17332, right_input=2878, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=14454","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=14454, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2374","layer":4},{"info":"number node, value=5681","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=5681, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3307","layer":3},{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2702","layer":3},{"info":"compute binary expreesion, left_input=3307, right_input=2702, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2702","layer":2},{"info":"number node, value=4469","layer":4},{"info":"compute unary expreesion, input=4469, 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=1767","layer":4},{"info":"compute unary expreesion, input=1767, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3534","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3534, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1522","layer":2},{"info":"compute binary expreesion, left_input=2702, right_input=1522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=375","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=375, 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":"((⫖↰⪸115A-⫖↰⪸1A22)⋓(⫖↰⪸17B6≦≮≮))≹⇙⪍((↩⫖↰⪸1556)⪒⫖↰⪸1063≧⫂∧⫖↰⪸1B33)⋳⪒((⫖↰⪸145A⇼⇔∾⫖↰⪸3355)⨎(⫖↰⪸947⪐)⋥≓≎((+⊝⨔⫖↰⪸2705)%(⫖↰⪸1033⊭∹↮)))=NaN","reverse_text":"NaN=((⫖↰⪸115A-⫖↰⪸1A22)⋓(⫖↰⪸17B6≦≮≮))≹⇙⪍((↩⫖↰⪸1556)⪒⫖↰⪸1063≧⫂∧⫖↰⪸1B33)⋳⪒((⫖↰⪸145A⇼⇔∾⫖↰⪸3355)⨎(⫖↰⪸947⪐)⋥≓≎((+⊝⨔⫖↰⪸2705)%(⫖↰⪸1033⊭∹↮)))","cot":[{"info":"⫖↰⪸115A-⫖↰⪸1A22=⫖↰⪸-884","layer":3},{"info":"⫖↰⪸17B6≦≮≮=⫖↰⪸-4BA6","layer":3},{"info":"⫖↰⪸-884⋓⫖↰⪸-4BA6=⫖↰⪸0","layer":2},{"info":"↩⫖↰⪸1556=⫖↰⪸-A044","layer":3},{"info":"⫖↰⪸1063≧⫂∧⫖↰⪸1B33=⫖↰⪸17BA","layer":3},{"info":"⫖↰⪸-A044⪒⫖↰⪸17BA=⫖↰⪸8446","layer":2},{"info":"⫖↰⪸0≹⇙⪍⫖↰⪸8446=NaN","layer":1},{"info":"⫖↰⪸145A⇼⇔∾⫖↰⪸3355=⫖↰⪸1AB7","layer":3},{"info":"⫖↰⪸947⪐=⫖↰⪸1692","layer":3},{"info":"⫖↰⪸1AB7⨎⫖↰⪸1692=⫖↰⪸1692","layer":2},{"info":"+⊝⨔⫖↰⪸2705=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸1033⊭∹↮=⫖↰⪸2066","layer":3},{"info":"⫖↰⪸A6A%⫖↰⪸2066=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸1692⋥≓≎⫖↰⪸A6A=⫖↰⪸273","layer":1},{"info":"NaN⋳⪒⫖↰⪸273=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"((⩦⩻⨪($8688$∲⫓$2553$))-$1166$⋳⪒$4819$⨐⩸⫘$7381$⨓$4552$)⪘⫢(≉(↽≂$2282$)⋝⋈⪟(↩$2793$))","expression":"((⩦⩻⨪(⫖↰⪸5040∲⫓⫖↰⪸1589))-⫖↰⪸812⋳⪒⫖↰⪸2957⨐⩸⫘⫖↰⪸4331⨓⫖↰⪸2774)⪘⫢(≉(↽≂⫖↰⪸13A2)⋝⋈⪟(↩⫖↰⪸1749))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4604,"operation_count":11,"complexity_ratio":418.54545454545456,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8688,"base":12},"right_expr":{"type":"numeric_atoms","value":2553,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1166,"base":12},"right_expr":{"type":"numeric_atoms","value":4819,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7381,"base":12},"right_expr":{"type":"numeric_atoms","value":4552,"base":12}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2282,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2793,"base":12}}}}},"used_operators":["oacrs7FA3X","rysDP5nf3Z","2td37pGCOC","i8ToyICDmI","fu6greOZ01","12rbrZMWeM","3ViojmjbAp","e1ybzncUwg","2DDjHMKMc0","u6S6b8DprG","jLgFTUHLKL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","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=8688","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=8688, right_input=2553, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1166","layer":4},{"info":"number node, value=4819","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=4819, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2774","layer":3},{"info":"number node, value=7381","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=7381, right_input=4552, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4555","layer":3},{"info":"compute binary expreesion, left_input=-2774, right_input=-4555, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2282","layer":4},{"info":"compute unary expreesion, input=2282, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4564","layer":3},{"info":"number node, value=2793","layer":4},{"info":"compute unary expreesion, input=2793, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19564","layer":3},{"info":"compute binary expreesion, left_input=-4564, right_input=-19564, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4564","layer":2},{"info":"compute unary expreesion, input=-4564, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-4564","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4564, 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":"((⩦⩻⨪(⫖↰⪸5040∲⫓⫖↰⪸1589))-⫖↰⪸812⋳⪒⫖↰⪸2957⨐⩸⫘⫖↰⪸4331⨓⫖↰⪸2774)⪘⫢(≉(↽≂⫖↰⪸13A2)⋝⋈⪟(↩⫖↰⪸1749))=NaN","reverse_text":"NaN=((⩦⩻⨪(⫖↰⪸5040∲⫓⫖↰⪸1589))-⫖↰⪸812⋳⪒⫖↰⪸2957⨐⩸⫘⫖↰⪸4331⨓⫖↰⪸2774)⪘⫢(≉(↽≂⫖↰⪸13A2)⋝⋈⪟(↩⫖↰⪸1749))","cot":[{"info":"⫖↰⪸5040∲⫓⫖↰⪸1589=⫖↰⪸0","layer":3},{"info":"⩦⩻⨪⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸812⋳⪒⫖↰⪸2957=⫖↰⪸-1732","layer":3},{"info":"⫖↰⪸4331⨓⫖↰⪸2774=⫖↰⪸-2777","layer":3},{"info":"⫖↰⪸-1732⨐⩸⫘⫖↰⪸-2777=NaN","layer":2},{"info":"⫖↰⪸0-NaN=NaN","layer":1},{"info":"↽≂⫖↰⪸13A2=⫖↰⪸-2784","layer":3},{"info":"↩⫖↰⪸1749=⫖↰⪸-B3A4","layer":3},{"info":"⫖↰⪸-2784⋝⋈⪟⫖↰⪸-B3A4=⫖↰⪸-2784","layer":2},{"info":"≉⫖↰⪸-2784=⫖↰⪸-2784","layer":1},{"info":"NaN⪘⫢⫖↰⪸-2784=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"((($9132$⩨$7929$)⫌⩹⨱)⪠⩆⊳)↺(($1646$⩨$1751$)⨳⩥⨓($2436$*$1445$))⪛($1705$+⇶⊼$3548$)⪮%⊝($3725$⊭↱$1861$)","expression":"(((⫖↰⪸5350⩨⫖↰⪸4709)⫌⩹⨱)⪠⩆⊳)↺((⫖↰⪸B52⩨⫖↰⪸101B)⨳⩥⨓(⫖↰⪸14B0*⫖↰⪸A05))⪛(⫖↰⪸BA1+⇶⊼⫖↰⪸2078)⪮%⊝(⫖↰⪸21A5⊭↱⫖↰⪸10B1)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1491,"operation_count":11,"complexity_ratio":135.54545454545453,"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":9132,"base":12},"right_expr":{"type":"numeric_atoms","value":7929,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1646,"base":12},"right_expr":{"type":"numeric_atoms","value":1751,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2436,"base":12},"right_expr":{"type":"numeric_atoms","value":1445,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1705,"base":12},"right_expr":{"type":"numeric_atoms","value":3548,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3725,"base":12},"right_expr":{"type":"numeric_atoms","value":1861,"base":12}}}}},"used_operators":["7j4O788W3g","JLbD19bQDL","EBcxylXtPf","2DlMacCsIx","uFcxV4UQCh","nCS4ZIUYfx","9HNa5Wba9A","IWmyXbctLI","TpPTUOHfaN","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9132","layer":4},{"info":"number node, value=7929","layer":4},{"info":"compute binary expreesion, left_input=9132, right_input=7929, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":2},{"info":"compute unary expreesion, input=1401, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=1646","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=1751, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2436","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=1445, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3520020","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=3520020, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3520023","layer":2},{"info":"number node, value=1705","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=3548, 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=3725","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=1861, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3723","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3723, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3520023, 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=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸5350⩨⫖↰⪸4709)⫌⩹⨱)⪠⩆⊳)↺((⫖↰⪸B52⩨⫖↰⪸101B)⨳⩥⨓(⫖↰⪸14B0*⫖↰⪸A05))⪛(⫖↰⪸BA1+⇶⊼⫖↰⪸2078)⪮%⊝(⫖↰⪸21A5⊭↱⫖↰⪸10B1)=NaN","reverse_text":"NaN=(((⫖↰⪸5350⩨⫖↰⪸4709)⫌⩹⨱)⪠⩆⊳)↺((⫖↰⪸B52⩨⫖↰⪸101B)⨳⩥⨓(⫖↰⪸14B0*⫖↰⪸A05))⪛(⫖↰⪸BA1+⇶⊼⫖↰⪸2078)⪮%⊝(⫖↰⪸21A5⊭↱⫖↰⪸10B1)","cot":[{"info":"⫖↰⪸5350⩨⫖↰⪸4709=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⫌⩹⨱=⫖↰⪸989","layer":2},{"info":"⫖↰⪸989⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸B52⩨⫖↰⪸101B=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸14B0*⫖↰⪸A05=⫖↰⪸1219070","layer":3},{"info":"⫖↰⪸-3⨳⩥⨓⫖↰⪸1219070=⫖↰⪸1219073","layer":2},{"info":"⫖↰⪸BA1+⇶⊼⫖↰⪸2078=NaN","layer":3},{"info":"⫖↰⪸21A5⊭↱⫖↰⪸10B1=⫖↰⪸-21A3","layer":3},{"info":"NaN⪮%⊝⫖↰⪸-21A3=NaN","layer":2},{"info":"⫖↰⪸1219073⪛NaN=NaN","layer":1},{"info":"⫖↰⪸0↺NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"((($1084$≫≃)⨵⪆$1166$%$6454$)⊦⊿)⪘⫢(⫓⪴($8049$⫥∨⫟$1673$⫡⨏(⊥$1080$)))","expression":"(((⫖↰⪸764≫≃)⨵⪆⫖↰⪸812%⫖↰⪸389A)⊦⊿)⪘⫢(⫓⪴(⫖↰⪸47A9⫥∨⫟⫖↰⪸B75⫡⨏(⊥⫖↰⪸760)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":187,"operation_count":9,"complexity_ratio":20.77777777777778,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1084,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1166,"base":12},"right_expr":{"type":"numeric_atoms","value":6454,"base":12}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8049,"base":12},"right_expr":{"type":"numeric_atoms","value":1673,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1080,"base":12}}}}},"used_operators":["oacrs7FA3X","14qkJME0vr","2DQ55sFlQl","X99M06cbEe","k8jYdgA6NY","eLxqMNBOBk","QMFrweE19q","KYD54nUTWz","Q3PJZHRvZv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3569","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=6454","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=6454, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1166","layer":3},{"info":"compute binary expreesion, left_input=3569, right_input=1166, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-559","layer":1},{"info":"number node, value=8049","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=8049, right_input=1673, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-559, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸764≫≃)⨵⪆⫖↰⪸812%⫖↰⪸389A)⊦⊿)⪘⫢(⫓⪴(⫖↰⪸47A9⫥∨⫟⫖↰⪸B75⫡⨏(⊥⫖↰⪸760)))=NaN","reverse_text":"NaN=(((⫖↰⪸764≫≃)⨵⪆⫖↰⪸812%⫖↰⪸389A)⊦⊿)⪘⫢(⫓⪴(⫖↰⪸47A9⫥∨⫟⫖↰⪸B75⫡⨏(⊥⫖↰⪸760)))","cot":[{"info":"⫖↰⪸764≫≃=⫖↰⪸2095","layer":3},{"info":"⫖↰⪸812%⫖↰⪸389A=⫖↰⪸812","layer":3},{"info":"⫖↰⪸2095⨵⪆⫖↰⪸812=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⊦⊿=⫖↰⪸-3A7","layer":1},{"info":"⫖↰⪸47A9⫥∨⫟⫖↰⪸B75=NaN","layer":3},{"info":"⊥⫖↰⪸760=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⫖↰⪸-3A7⪘⫢NaN=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"(⩦⩻⨪($6012$⪘⫢$4943$∸))≣⋋","expression":"(⩦⩻⨪(⫖↰⪸3590⪘⫢⫖↰⪸2A3B∸))≣⋋","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":375,"operation_count":4,"complexity_ratio":93.75,"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":6012,"base":12},"right_expr":{"type":"numeric_atoms","value":4943,"base":12}}}}},"used_operators":["Tcnh7f0tEr","2td37pGCOC","o20kRiQErp","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6012","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=4943, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11900","layer":3},{"info":"compute unary expreesion, input=11900, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪(⫖↰⪸3590⪘⫢⫖↰⪸2A3B∸))≣⋋=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⩦⩻⨪(⫖↰⪸3590⪘⫢⫖↰⪸2A3B∸))≣⋋","cot":[{"info":"⫖↰⪸3590⪘⫢⫖↰⪸2A3B=⫖↰⪸6A78","layer":3},{"info":"⫖↰⪸6A78∸=⫖↰⪸129","layer":2},{"info":"⩦⩻⨪⫖↰⪸129=⫖↰⪸129","layer":1},{"info":"⫖↰⪸129≣⋋=⫖↰⪸0","layer":0}]}
{"id":126,"expression_no_base_symbol":"(($2360$⩠)⨳⩥⨓(⊙↵-$2375$))⨓((⨰⫟⨤$2858$)⨐⩸⫘$4659$↬$1070$)⋓((-$5501$)⨟⋌⩍($3250$≭$1371$)⇼⇔∾(↽≂(⫛⫱⨽$6547$)))","expression":"((⫖↰⪸1448⩠)⨳⩥⨓(⊙↵-⫖↰⪸145B))⨓((⨰⫟⨤⫖↰⪸17A2)⨐⩸⫘⫖↰⪸2843↬⫖↰⪸752)⋓((-⫖↰⪸3225)⨟⋌⩍(⫖↰⪸1A6A≭⫖↰⪸963)⇼⇔∾(↽≂(⫛⫱⨽⫖↰⪸3957)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14486,"operation_count":14,"complexity_ratio":1034.7142857142858,"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":2360,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2375,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2858,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4659,"base":12},"right_expr":{"type":"numeric_atoms","value":1070,"base":12}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5501,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3250,"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":6547,"base":12}}}}},"used_operators":["T2fj7uvVaJ","3ViojmjbAp","nCS4ZIUYfx","sJAwomhLZr","oWn0xqSxBt","fu6greOZ01","Tw270M8GLb","B5M0gjZbta","tifHPKVTfV","rGHVDoGpnC","t8gj7n24qd","rxpJgHHUmx","u6S6b8DprG","DlLNRPXxWL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2360","layer":4},{"info":"compute unary expreesion, input=2360, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2375","layer":4},{"info":"compute unary expreesion, input=2375, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1","layer":2},{"info":"number node, value=2858","layer":4},{"info":"compute unary expreesion, input=2858, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4659","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4659, right_input=1070, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=5501","layer":4},{"info":"compute unary expreesion, input=5501, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5501","layer":3},{"info":"number node, value=3250","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3250, 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":"compute binary expreesion, left_input=-5501, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6547","layer":4},{"info":"compute unary expreesion, input=6547, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1448⩠)⨳⩥⨓(⊙↵-⫖↰⪸145B))⨓((⨰⫟⨤⫖↰⪸17A2)⨐⩸⫘⫖↰⪸2843↬⫖↰⪸752)⋓((-⫖↰⪸3225)⨟⋌⩍(⫖↰⪸1A6A≭⫖↰⪸963)⇼⇔∾(↽≂(⫛⫱⨽⫖↰⪸3957)))=NaN","reverse_text":"NaN=((⫖↰⪸1448⩠)⨳⩥⨓(⊙↵-⫖↰⪸145B))⨓((⨰⫟⨤⫖↰⪸17A2)⨐⩸⫘⫖↰⪸2843↬⫖↰⪸752)⋓((-⫖↰⪸3225)⨟⋌⩍(⫖↰⪸1A6A≭⫖↰⪸963)⇼⇔∾(↽≂(⫛⫱⨽⫖↰⪸3957)))","cot":[{"info":"⫖↰⪸1448⩠=⫖↰⪸0","layer":3},{"info":"⊙↵-⫖↰⪸145B=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸0⨳⩥⨓⫖↰⪸-1=⫖↰⪸-1","layer":2},{"info":"⨰⫟⨤⫖↰⪸17A2=NaN","layer":3},{"info":"⫖↰⪸2843↬⫖↰⪸752=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"⫖↰⪸-1⨓NaN=NaN","layer":1},{"info":"-⫖↰⪸3225=⫖↰⪸-3225","layer":3},{"info":"⫖↰⪸1A6A≭⫖↰⪸963=NaN","layer":3},{"info":"⫖↰⪸-3225⨟⋌⩍NaN=NaN","layer":2},{"info":"⫛⫱⨽⫖↰⪸3957=⫖↰⪸0","layer":3},{"info":"↽≂⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸0=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"((⊥$5036$)/(⇁⨣⪵$2586$)⫡⨏(≦∁($3228$+$1282$)))⋝⋈⪟(($8458$⋥≓≎$4700$)∀⇚≩$1738$∀⇚≩$1047$)⨪↰⇹(⊄⩳↩($7897$⋷$5749$))","expression":"((⊥⫖↰⪸2AB8)/(⇁⨣⪵⫖↰⪸15B6)⫡⨏(≦∁(⫖↰⪸1A50+⫖↰⪸8AA)))⋝⋈⪟((⫖↰⪸4A8A⋥≓≎⫖↰⪸2878)∀⇚≩⫖↰⪸100A∀⇚≩⫖↰⪸733)⨪↰⇹(⊄⩳↩(⫖↰⪸46A1⋷⫖↰⪸33B1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19017,"operation_count":13,"complexity_ratio":1462.8461538461538,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5036,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2586,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3228,"base":12},"right_expr":{"type":"numeric_atoms","value":1282,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8458,"base":12},"right_expr":{"type":"numeric_atoms","value":4700,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1738,"base":12},"right_expr":{"type":"numeric_atoms","value":1047,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7897,"base":12},"right_expr":{"type":"numeric_atoms","value":5749,"base":12}}}}},"used_operators":["2DDjHMKMc0","QMFrweE19q","XhwjNDsVaA","Q3PJZHRvZv","inkyxCbjAn","9ICcGScMcE","W4YGzv6Whe","tmPS8pqC7x","LRNGc0VcxI","Qy55tPpLXF","8w2t5hMYqp","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rJVOvQCfKK","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5036","layer":4},{"info":"compute unary expreesion, input=5036, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3228","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=1282, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4510","layer":3},{"info":"compute unary expreesion, input=4510, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4510","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4510, 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=8458","layer":4},{"info":"number node, value=4700","layer":4},{"info":"compute binary expreesion, left_input=8458, right_input=4700, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=975","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=1047, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=975, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=7897","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=7897, right_input=5749, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3601","layer":3},{"info":"compute unary expreesion, input=3601, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10803","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10803, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊥⫖↰⪸2AB8)/(⇁⨣⪵⫖↰⪸15B6)⫡⨏(≦∁(⫖↰⪸1A50+⫖↰⪸8AA)))⋝⋈⪟((⫖↰⪸4A8A⋥≓≎⫖↰⪸2878)∀⇚≩⫖↰⪸100A∀⇚≩⫖↰⪸733)⨪↰⇹(⊄⩳↩(⫖↰⪸46A1⋷⫖↰⪸33B1))=NaN","reverse_text":"NaN=((⊥⫖↰⪸2AB8)/(⇁⨣⪵⫖↰⪸15B6)⫡⨏(≦∁(⫖↰⪸1A50+⫖↰⪸8AA)))⋝⋈⪟((⫖↰⪸4A8A⋥≓≎⫖↰⪸2878)∀⇚≩⫖↰⪸100A∀⇚≩⫖↰⪸733)⨪↰⇹(⊄⩳↩(⫖↰⪸46A1⋷⫖↰⪸33B1))","cot":[{"info":"⊥⫖↰⪸2AB8=NaN","layer":3},{"info":"⇁⨣⪵⫖↰⪸15B6=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⫖↰⪸1A50+⫖↰⪸8AA=⫖↰⪸273A","layer":3},{"info":"≦∁⫖↰⪸273A=⫖↰⪸273A","layer":2},{"info":"NaN⫡⨏⫖↰⪸273A=NaN","layer":1},{"info":"⫖↰⪸4A8A⋥≓≎⫖↰⪸2878=⫖↰⪸693","layer":3},{"info":"⫖↰⪸100A∀⇚≩⫖↰⪸733=NaN","layer":3},{"info":"⫖↰⪸693∀⇚≩NaN=NaN","layer":2},{"info":"⫖↰⪸46A1⋷⫖↰⪸33B1=⫖↰⪸2101","layer":3},{"info":"⊄⩳↩⫖↰⪸2101=⫖↰⪸-6303","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸-6303=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"(⫓⪴($3021$⨐⩸⫘$6244$))⨪↰⇹(↥$1094$)⪛($1355$≧⫂∧$1269$)∲⫓(⨑⩽⪐($2156$≎⊠⪸$1259$+$1654$⨓$1054$))","expression":"(⫓⪴(⫖↰⪸18B9⨐⩸⫘⫖↰⪸3744))⨪↰⇹(↥⫖↰⪸772)⪛(⫖↰⪸94B≧⫂∧⫖↰⪸899)∲⫓(⨑⩽⪐(⫖↰⪸12B8≎⊠⪸⫖↰⪸88B+⫖↰⪸B5A⨓⫖↰⪸73A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1365,"operation_count":11,"complexity_ratio":124.0909090909091,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3021,"base":12},"right_expr":{"type":"numeric_atoms","value":6244,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1355,"base":12},"right_expr":{"type":"numeric_atoms","value":1269,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2156,"base":12},"right_expr":{"type":"numeric_atoms","value":1259,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1654,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}}}}},"used_operators":["i8ToyICDmI","tmPS8pqC7x","eLxqMNBOBk","fu6greOZ01","uFcxV4UQCh","A8NUZmVepG","Ph9nP6C5qx","AF7qkfDlqP","W4YGzv6Whe","bJkvcejdHO","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3021","layer":4},{"info":"number node, value=6244","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=6244, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1269, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=796","layer":3},{"info":"compute binary expreesion, left_input=23, right_input=796, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=23","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23, 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=2156","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=1259, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=557931","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=1054, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1057","layer":3},{"info":"compute binary expreesion, left_input=557931, right_input=-1057, op_id = W4YGzv6Whe binary_op_definition= 'None', output=556874","layer":2},{"info":"compute unary expreesion, input=556874, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-556601","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-556601, 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":"(⫓⪴(⫖↰⪸18B9⨐⩸⫘⫖↰⪸3744))⨪↰⇹(↥⫖↰⪸772)⪛(⫖↰⪸94B≧⫂∧⫖↰⪸899)∲⫓(⨑⩽⪐(⫖↰⪸12B8≎⊠⪸⫖↰⪸88B+⫖↰⪸B5A⨓⫖↰⪸73A))=NaN","reverse_text":"NaN=(⫓⪴(⫖↰⪸18B9⨐⩸⫘⫖↰⪸3744))⨪↰⇹(↥⫖↰⪸772)⪛(⫖↰⪸94B≧⫂∧⫖↰⪸899)∲⫓(⨑⩽⪐(⫖↰⪸12B8≎⊠⪸⫖↰⪸88B+⫖↰⪸B5A⨓⫖↰⪸73A))","cot":[{"info":"⫖↰⪸18B9⨐⩸⫘⫖↰⪸3744=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"↥⫖↰⪸772=⫖↰⪸1B","layer":3},{"info":"⫖↰⪸94B≧⫂∧⫖↰⪸899=⫖↰⪸564","layer":3},{"info":"⫖↰⪸1B⪛⫖↰⪸564=⫖↰⪸1B","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸1B=NaN","layer":1},{"info":"⫖↰⪸12B8≎⊠⪸⫖↰⪸88B=⫖↰⪸22AA63","layer":3},{"info":"⫖↰⪸B5A⨓⫖↰⪸73A=⫖↰⪸-741","layer":3},{"info":"⫖↰⪸22AA63+⫖↰⪸-741=⫖↰⪸22A322","layer":2},{"info":"⨑⩽⪐⫖↰⪸22A322=⫖↰⪸-22A135","layer":1},{"info":"NaN∲⫓⫖↰⪸-22A135=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"(($1945$/$2571$)+⇶⊼(∂$2700$)⋫)⪐","expression":"((⫖↰⪸1161/⫖↰⪸15A3)+⇶⊼(∂⫖↰⪸1690)⋫)⪐","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6,"operation_count":5,"complexity_ratio":1.2,"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":1945,"base":12},"right_expr":{"type":"numeric_atoms","value":2571,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2700,"base":12}}}}},"used_operators":["eH2TOUuTDT","JL8yIekQnl","TpPTUOHfaN","XhwjNDsVaA","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","AHs5Up7iyr","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1945","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=2571, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1161/⫖↰⪸15A3)+⇶⊼(∂⫖↰⪸1690)⋫)⪐=NaN","reverse_text":"NaN=((⫖↰⪸1161/⫖↰⪸15A3)+⇶⊼(∂⫖↰⪸1690)⋫)⪐","cot":[{"info":"⫖↰⪸1161/⫖↰⪸15A3=⫖↰⪸0","layer":3},{"info":"∂⫖↰⪸1690=NaN","layer":3},{"info":"⫖↰⪸0+⇶⊼NaN=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"⨰⫟⨤($8180$∼$7260$∑⇟⊟(⨵≀≌$2065$)≭(⨵≀≌($3266$⫡⨏$1057$)))","expression":"⨰⫟⨤(⫖↰⪸4898∼⫖↰⪸4250∑⇟⊟(⨵≀≌⫖↰⪸1241)≭(⨵≀≌(⫖↰⪸1A82⫡⨏⫖↰⪸741)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":206,"operation_count":7,"complexity_ratio":29.428571428571427,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8180,"base":12},"right_expr":{"type":"numeric_atoms","value":7260,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2065,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3266,"base":12},"right_expr":{"type":"numeric_atoms","value":1057,"base":12}}}}},"used_operators":["Tw270M8GLb","rxpJgHHUmx","U7g4x0WXJJ","DyGG3AbaNP","srAu1WTS94","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8180","layer":4},{"info":"number node, value=7260","layer":4},{"info":"compute binary expreesion, left_input=8180, right_input=7260, 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=2065","layer":4},{"info":"compute unary expreesion, input=2065, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6195","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6195, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3266","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=1057, 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=19227","layer":3},{"info":"compute unary expreesion, input=19227, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-57681","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-57681, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤(⫖↰⪸4898∼⫖↰⪸4250∑⇟⊟(⨵≀≌⫖↰⪸1241)≭(⨵≀≌(⫖↰⪸1A82⫡⨏⫖↰⪸741)))=NaN","reverse_text":"NaN=⨰⫟⨤(⫖↰⪸4898∼⫖↰⪸4250∑⇟⊟(⨵≀≌⫖↰⪸1241)≭(⨵≀≌(⫖↰⪸1A82⫡⨏⫖↰⪸741)))","cot":[{"info":"⫖↰⪸4898∼⫖↰⪸4250=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸1241=⫖↰⪸-3703","layer":3},{"info":"NaN∑⇟⊟⫖↰⪸-3703=NaN","layer":2},{"info":"⫖↰⪸1A82⫡⨏⫖↰⪸741=⫖↰⪸B163","layer":3},{"info":"⨵≀≌⫖↰⪸B163=⫖↰⪸-29469","layer":2},{"info":"NaN≭⫖↰⪸-29469=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"(⫛⫱⨽($1289$⨓$1476$))⨓($5464$⋳⪒$5957$)↬($2854$⪒$3156$)⨵⪆($1952$⇼⇔∾$2656$⨸⪁($3599$⪒$2902$))⪮%⊝($1163$*$3428$∲⫓$1448$⨎$4391$)","expression":"(⫛⫱⨽(⫖↰⪸8B5⨓⫖↰⪸A30))⨓(⫖↰⪸31B4⋳⪒⫖↰⪸3545)↬(⫖↰⪸179A⪒⫖↰⪸19B0)⨵⪆(⫖↰⪸1168⇼⇔∾⫖↰⪸1654⨸⪁(⫖↰⪸20BB⪒⫖↰⪸181A))⪮%⊝(⫖↰⪸80B*⫖↰⪸1B98∲⫓⫖↰⪸A08⨎⫖↰⪸265B)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4106,"operation_count":14,"complexity_ratio":293.2857142857143,"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":1289,"base":12},"right_expr":{"type":"numeric_atoms","value":1476,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5464,"base":12},"right_expr":{"type":"numeric_atoms","value":5957,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2854,"base":12},"right_expr":{"type":"numeric_atoms","value":3156,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1952,"base":12},"right_expr":{"type":"numeric_atoms","value":2656,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3599,"base":12},"right_expr":{"type":"numeric_atoms","value":2902,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1163,"base":12},"right_expr":{"type":"numeric_atoms","value":3428,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1448,"base":12},"right_expr":{"type":"numeric_atoms","value":4391,"base":12}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","DlLNRPXxWL","B5M0gjZbta","12rbrZMWeM","f6k1SAg4EE","IWmyXbctLI","g55IO6H4Gj","tifHPKVTfV","i8ToyICDmI","9HNa5Wba9A","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=1476, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1479","layer":3},{"info":"compute unary expreesion, input=-1479, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5464","layer":4},{"info":"number node, value=5957","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=5957, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4684","layer":3},{"info":"number node, value=2854","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=2854, right_input=3156, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6010","layer":3},{"info":"compute binary expreesion, left_input=4684, right_input=-6010, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1952","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=2656, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=704","layer":3},{"info":"number node, value=3599","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=2902, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6501","layer":3},{"info":"compute binary expreesion, left_input=704, right_input=-6501, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-11594","layer":2},{"info":"number node, value=1163","layer":4},{"info":"number node, value=3428","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=3428, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3986764","layer":3},{"info":"number node, value=1448","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=4391, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4391","layer":3},{"info":"compute binary expreesion, left_input=3986764, right_input=4391, 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=-11594, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽(⫖↰⪸8B5⨓⫖↰⪸A30))⨓(⫖↰⪸31B4⋳⪒⫖↰⪸3545)↬(⫖↰⪸179A⪒⫖↰⪸19B0)⨵⪆(⫖↰⪸1168⇼⇔∾⫖↰⪸1654⨸⪁(⫖↰⪸20BB⪒⫖↰⪸181A))⪮%⊝(⫖↰⪸80B*⫖↰⪸1B98∲⫓⫖↰⪸A08⨎⫖↰⪸265B)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫛⫱⨽(⫖↰⪸8B5⨓⫖↰⪸A30))⨓(⫖↰⪸31B4⋳⪒⫖↰⪸3545)↬(⫖↰⪸179A⪒⫖↰⪸19B0)⨵⪆(⫖↰⪸1168⇼⇔∾⫖↰⪸1654⨸⪁(⫖↰⪸20BB⪒⫖↰⪸181A))⪮%⊝(⫖↰⪸80B*⫖↰⪸1B98∲⫓⫖↰⪸A08⨎⫖↰⪸265B)","cot":[{"info":"⫖↰⪸8B5⨓⫖↰⪸A30=⫖↰⪸-A33","layer":3},{"info":"⫛⫱⨽⫖↰⪸-A33=⫖↰⪸0","layer":2},{"info":"⫖↰⪸31B4⋳⪒⫖↰⪸3545=⫖↰⪸2864","layer":3},{"info":"⫖↰⪸179A⪒⫖↰⪸19B0=⫖↰⪸-358A","layer":3},{"info":"⫖↰⪸2864↬⫖↰⪸-358A=NaN","layer":2},{"info":"⫖↰⪸0⨓NaN=NaN","layer":1},{"info":"⫖↰⪸1168⇼⇔∾⫖↰⪸1654=⫖↰⪸4A8","layer":3},{"info":"⫖↰⪸20BB⪒⫖↰⪸181A=⫖↰⪸-3919","layer":3},{"info":"⫖↰⪸4A8⨸⪁⫖↰⪸-3919=⫖↰⪸-6862","layer":2},{"info":"⫖↰⪸80B*⫖↰⪸1B98=⫖↰⪸14031A4","layer":3},{"info":"⫖↰⪸A08⨎⫖↰⪸265B=⫖↰⪸265B","layer":3},{"info":"⫖↰⪸14031A4∲⫓⫖↰⪸265B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-6862⪮%⊝⫖↰⪸0=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":132,"expression_no_base_symbol":"(($2643$∀⇚≩$1343$⋓($2597$⨽$5036$))⇷(↯⪼($3018$⨳⩥⨓$6475$)))⨟⋌⩍((⪲⇎($1030$⪨≂$2798$))⫸⊐(↣≠⋷$1180$)≹⇙⪍($1138$⨰$1193$))","expression":"((⫖↰⪸1643∀⇚≩⫖↰⪸93B⋓(⫖↰⪸1605⨽⫖↰⪸2AB8))⇷(↯⪼(⫖↰⪸18B6⨳⩥⨓⫖↰⪸38B7)))⨟⋌⩍((⪲⇎(⫖↰⪸71A⪨≂⫖↰⪸1752))⫸⊐(↣≠⋷⫖↰⪸824)≹⇙⪍(⫖↰⪸7AA⨰⫖↰⪸835))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27119,"operation_count":13,"complexity_ratio":2086.076923076923,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2643,"base":12},"right_expr":{"type":"numeric_atoms","value":1343,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2597,"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":3018,"base":12},"right_expr":{"type":"numeric_atoms","value":6475,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":2798,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1180,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}}}},"used_operators":["rGHVDoGpnC","mp7IySMOzn","T2fj7uvVaJ","LRNGc0VcxI","8HhzD0ZcuI","8jW3W4yZS5","nCS4ZIUYfx","mqXw5SEYmG","XPYlsWDdGa","sdazOOVcIp","AHs5Up7iyr","Asc51vEJeQ","eewbuw0ToL"],"dependent_operators":["Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1343, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2597","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=5036, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20247021","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20247021, 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=3018","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=6475, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3457","layer":3},{"info":"compute unary expreesion, input=3457, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2798, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3434","layer":3},{"info":"compute unary expreesion, input=-3434, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-6868","layer":2},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1193, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-45","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-45, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-6868, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-42, 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":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1643∀⇚≩⫖↰⪸93B⋓(⫖↰⪸1605⨽⫖↰⪸2AB8))⇷(↯⪼(⫖↰⪸18B6⨳⩥⨓⫖↰⪸38B7)))⨟⋌⩍((⪲⇎(⫖↰⪸71A⪨≂⫖↰⪸1752))⫸⊐(↣≠⋷⫖↰⪸824)≹⇙⪍(⫖↰⪸7AA⨰⫖↰⪸835))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸1643∀⇚≩⫖↰⪸93B⋓(⫖↰⪸1605⨽⫖↰⪸2AB8))⇷(↯⪼(⫖↰⪸18B6⨳⩥⨓⫖↰⪸38B7)))⨟⋌⩍((⪲⇎(⫖↰⪸71A⪨≂⫖↰⪸1752))⫸⊐(↣≠⋷⫖↰⪸824)≹⇙⪍(⫖↰⪸7AA⨰⫖↰⪸835))","cot":[{"info":"⫖↰⪸1643∀⇚≩⫖↰⪸93B=NaN","layer":3},{"info":"⫖↰⪸1605⨽⫖↰⪸2AB8=⫖↰⪸-6945039","layer":3},{"info":"NaN⋓⫖↰⪸-6945039=⫖↰⪸0","layer":2},{"info":"⫖↰⪸18B6⨳⩥⨓⫖↰⪸38B7=⫖↰⪸2001","layer":3},{"info":"↯⪼⫖↰⪸2001=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸0⇷⫖↰⪸-19=⫖↰⪸-36","layer":1},{"info":"⫖↰⪸71A⪨≂⫖↰⪸1752=⫖↰⪸-1BA2","layer":3},{"info":"⪲⇎⫖↰⪸-1BA2=⫖↰⪸-3B84","layer":2},{"info":"↣≠⋷⫖↰⪸824=NaN","layer":3},{"info":"⫖↰⪸7AA⨰⫖↰⪸835=⫖↰⪸-39","layer":3},{"info":"NaN≹⇙⪍⫖↰⪸-39=NaN","layer":2},{"info":"⫖↰⪸-3B84⫸⊐NaN=⫖↰⪸688","layer":1},{"info":"⫖↰⪸-36⨟⋌⩍⫖↰⪸688=⫖↰⪸0","layer":0}]}
{"id":133,"expression_no_base_symbol":"($1147$⇼⇔∾$2489$∲⫓(⩦⩻⨪$1501$))⨓($1937$⪨≂$3727$)⨟⋌⩍(↥$3760$)⫥∨⫟((($3903$⨵⪆$8496$)⨸⪁$1115$⨐⩸⫘$2727$)⋳⪒($2586$⩨$9382$⩨$7427$⪮%⊝$3938$))","expression":"(⫖↰⪸7B7⇼⇔∾⫖↰⪸1535∲⫓(⩦⩻⨪⫖↰⪸A51))⨓(⫖↰⪸1155⪨≂⫖↰⪸21A7)⨟⋌⩍(↥⫖↰⪸2214)⫥∨⫟(((⫖↰⪸2313⨵⪆⫖↰⪸4B00)⨸⪁⫖↰⪸78B⨐⩸⫘⫖↰⪸16B3)⋳⪒(⫖↰⪸15B6⩨⫖↰⪸551A⩨⫖↰⪸436B⪮%⊝⫖↰⪸2342))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2619,"operation_count":15,"complexity_ratio":174.6,"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":1147,"base":12},"right_expr":{"type":"numeric_atoms","value":2489,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1501,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1937,"base":12},"right_expr":{"type":"numeric_atoms","value":3727,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3760,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3903,"base":12},"right_expr":{"type":"numeric_atoms","value":8496,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1115,"base":12},"right_expr":{"type":"numeric_atoms","value":2727,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2586,"base":12},"right_expr":{"type":"numeric_atoms","value":9382,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7427,"base":12},"right_expr":{"type":"numeric_atoms","value":3938,"base":12}}}}},"used_operators":["KYD54nUTWz","3ViojmjbAp","i8ToyICDmI","tifHPKVTfV","2td37pGCOC","rGHVDoGpnC","sdazOOVcIp","A8NUZmVepG","12rbrZMWeM","g55IO6H4Gj","2DQ55sFlQl","fu6greOZ01","2DlMacCsIx","IWmyXbctLI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=2489, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1342","layer":3},{"info":"number node, value=1501","layer":4},{"info":"compute unary expreesion, input=1501, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1501","layer":3},{"info":"compute binary expreesion, left_input=1342, right_input=1501, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=3727, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3478","layer":3},{"info":"number node, value=3760","layer":4},{"info":"compute unary expreesion, input=3760, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":3},{"info":"compute binary expreesion, left_input=-3478, right_input=37, 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=0, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=3903","layer":4},{"info":"number node, value=8496","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=8496, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2727, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2586","layer":4},{"info":"number node, value=9382","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=9382, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=7427","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=7427, right_input=3938, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15170","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=15170, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=5058","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5058, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸7B7⇼⇔∾⫖↰⪸1535∲⫓(⩦⩻⨪⫖↰⪸A51))⨓(⫖↰⪸1155⪨≂⫖↰⪸21A7)⨟⋌⩍(↥⫖↰⪸2214)⫥∨⫟(((⫖↰⪸2313⨵⪆⫖↰⪸4B00)⨸⪁⫖↰⪸78B⨐⩸⫘⫖↰⪸16B3)⋳⪒(⫖↰⪸15B6⩨⫖↰⪸551A⩨⫖↰⪸436B⪮%⊝⫖↰⪸2342))=NaN","reverse_text":"NaN=(⫖↰⪸7B7⇼⇔∾⫖↰⪸1535∲⫓(⩦⩻⨪⫖↰⪸A51))⨓(⫖↰⪸1155⪨≂⫖↰⪸21A7)⨟⋌⩍(↥⫖↰⪸2214)⫥∨⫟(((⫖↰⪸2313⨵⪆⫖↰⪸4B00)⨸⪁⫖↰⪸78B⨐⩸⫘⫖↰⪸16B3)⋳⪒(⫖↰⪸15B6⩨⫖↰⪸551A⩨⫖↰⪸436B⪮%⊝⫖↰⪸2342))","cot":[{"info":"⫖↰⪸7B7⇼⇔∾⫖↰⪸1535=⫖↰⪸93A","layer":3},{"info":"⩦⩻⨪⫖↰⪸A51=⫖↰⪸A51","layer":3},{"info":"⫖↰⪸93A∲⫓⫖↰⪸A51=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1155⪨≂⫖↰⪸21A7=⫖↰⪸-201A","layer":3},{"info":"↥⫖↰⪸2214=⫖↰⪸31","layer":3},{"info":"⫖↰⪸-201A⨟⋌⩍⫖↰⪸31=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⨓⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2313⨵⪆⫖↰⪸4B00=⫖↰⪸114","layer":3},{"info":"⫖↰⪸78B⨐⩸⫘⫖↰⪸16B3=NaN","layer":3},{"info":"⫖↰⪸114⨸⪁NaN=NaN","layer":2},{"info":"⫖↰⪸15B6⩨⫖↰⪸551A=⫖↰⪸-9","layer":3},{"info":"⫖↰⪸436B⪮%⊝⫖↰⪸2342=⫖↰⪸8942","layer":3},{"info":"⫖↰⪸-9⩨⫖↰⪸8942=⫖↰⪸2B16","layer":2},{"info":"NaN⋳⪒⫖↰⪸2B16=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"$1401$⪛$4031$⇷(⩦⩻⨪$6644$)∑⇟⊟($3639$↬$4674$)⊴(⨈⫕$4911$)⋓(($3016$≭$7630$⪠⩆⊳)⨎($2559$⨐⩸⫘$8076$)≹⇙⪍(⊥$3527$))","expression":"⫖↰⪸989⪛⫖↰⪸23BB⇷(⩦⩻⨪⫖↰⪸3A18)∑⇟⊟(⫖↰⪸2133↬⫖↰⪸2856)⊴(⨈⫕⫖↰⪸2A13)⋓((⫖↰⪸18B4≭⫖↰⪸44BA⪠⩆⊳)⨎(⫖↰⪸1593⨐⩸⫘⫖↰⪸4810)≹⇙⪍(⊥⫖↰⪸205B))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20066,"operation_count":14,"complexity_ratio":1433.2857142857142,"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":1401,"base":12},"right_expr":{"type":"numeric_atoms","value":4031,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6644,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3639,"base":12},"right_expr":{"type":"numeric_atoms","value":4674,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4911,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3016,"base":12},"right_expr":{"type":"numeric_atoms","value":7630,"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":8076,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3527,"base":12}}}}},"used_operators":["T2fj7uvVaJ","U7g4x0WXJJ","mp7IySMOzn","uFcxV4UQCh","2td37pGCOC","Nsiff2A1zJ","B5M0gjZbta","megm06wKyl","rJVOvQCfKK","JLbD19bQDL","rxpJgHHUmx","AHs5Up7iyr","fu6greOZ01","Q3PJZHRvZv"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","3ViojmjbAp","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1401","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=4031, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1401","layer":3},{"info":"number node, value=6644","layer":4},{"info":"compute unary expreesion, input=6644, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6644","layer":3},{"info":"compute binary expreesion, left_input=1401, right_input=6644, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13288","layer":2},{"info":"number node, value=3639","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=4674, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4911","layer":4},{"info":"compute unary expreesion, input=4911, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13288, 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=3016","layer":4},{"info":"number node, value=7630","layer":4},{"info":"compute binary expreesion, left_input=3016, right_input=7630, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"number node, value=2559","layer":4},{"info":"number node, value=8076","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=8076, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3527","layer":4},{"info":"compute unary expreesion, input=3527, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸989⪛⫖↰⪸23BB⇷(⩦⩻⨪⫖↰⪸3A18)∑⇟⊟(⫖↰⪸2133↬⫖↰⪸2856)⊴(⨈⫕⫖↰⪸2A13)⋓((⫖↰⪸18B4≭⫖↰⪸44BA⪠⩆⊳)⨎(⫖↰⪸1593⨐⩸⫘⫖↰⪸4810)≹⇙⪍(⊥⫖↰⪸205B))=NaN","reverse_text":"NaN=⫖↰⪸989⪛⫖↰⪸23BB⇷(⩦⩻⨪⫖↰⪸3A18)∑⇟⊟(⫖↰⪸2133↬⫖↰⪸2856)⊴(⨈⫕⫖↰⪸2A13)⋓((⫖↰⪸18B4≭⫖↰⪸44BA⪠⩆⊳)⨎(⫖↰⪸1593⨐⩸⫘⫖↰⪸4810)≹⇙⪍(⊥⫖↰⪸205B))","cot":[{"info":"⫖↰⪸989⪛⫖↰⪸23BB=⫖↰⪸989","layer":3},{"info":"⩦⩻⨪⫖↰⪸3A18=⫖↰⪸3A18","layer":3},{"info":"⫖↰⪸989⇷⫖↰⪸3A18=⫖↰⪸7834","layer":2},{"info":"⫖↰⪸2133↬⫖↰⪸2856=NaN","layer":3},{"info":"⨈⫕⫖↰⪸2A13=⫖↰⪸-19","layer":3},{"info":"NaN⊴⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸7834∑⇟⊟NaN=NaN","layer":1},{"info":"⫖↰⪸18B4≭⫖↰⪸44BA=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫖↰⪸1593⨐⩸⫘⫖↰⪸4810=NaN","layer":3},{"info":"⊥⫖↰⪸205B=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"((($2708$⋷$1090$)⨐⩸⫘(↔$2240$))⪮%⊝((↔$1882$)≦≮≮))∧","expression":"(((⫖↰⪸1698⋷⫖↰⪸76A)⨐⩸⫘(↔⫖↰⪸1368))⪮%⊝((↔⫖↰⪸110A)≦≮≮))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":38,"operation_count":7,"complexity_ratio":5.428571428571429,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2708,"base":12},"right_expr":{"type":"numeric_atoms","value":1090,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2240,"base":12}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1882,"base":12}}}}},"used_operators":["z63VuFQld9","IWmyXbctLI","fu6greOZ01","23Mk6UjR3U","ruOEQAzv1W","D4vGDi5EA2"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2708","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2708, right_input=1090, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-528","layer":3},{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1967","layer":3},{"info":"compute binary expreesion, left_input=-528, right_input=-1967, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1609","layer":3},{"info":"compute unary expreesion, input=-1609, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=4827","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4827, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1698⋷⫖↰⪸76A)⨐⩸⫘(↔⫖↰⪸1368))⪮%⊝((↔⫖↰⪸110A)≦≮≮))∧=NaN","reverse_text":"NaN=(((⫖↰⪸1698⋷⫖↰⪸76A)⨐⩸⫘(↔⫖↰⪸1368))⪮%⊝((↔⫖↰⪸110A)≦≮≮))∧","cot":[{"info":"⫖↰⪸1698⋷⫖↰⪸76A=⫖↰⪸-380","layer":3},{"info":"↔⫖↰⪸1368=⫖↰⪸-117B","layer":3},{"info":"⫖↰⪸-380⨐⩸⫘⫖↰⪸-117B=NaN","layer":2},{"info":"↔⫖↰⪸110A=⫖↰⪸-B21","layer":3},{"info":"⫖↰⪸-B21≦≮≮=⫖↰⪸2963","layer":2},{"info":"NaN⪮%⊝⫖↰⪸2963=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"($4517$↬$4633$↙$1280$⨽$3708$⪄($7481$⨎$5182$*$1108$⨓$1609$))⋓(((⋗⩬⋾$1033$)⩨($8649$-$5619$))⪠⩆⊳)","expression":"(⫖↰⪸2745↬⫖↰⪸2821↙⫖↰⪸8A8⨽⫖↰⪸2190⪄(⫖↰⪸43B5⨎⫖↰⪸2BBA*⫖↰⪸784⨓⫖↰⪸B21))⋓(((⋗⩬⋾⫖↰⪸721)⩨(⫖↰⪸5009-⫖↰⪸3303))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4567,"operation_count":12,"complexity_ratio":380.5833333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4517,"base":12},"right_expr":{"type":"numeric_atoms","value":4633,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1280,"base":12},"right_expr":{"type":"numeric_atoms","value":3708,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7481,"base":12},"right_expr":{"type":"numeric_atoms","value":5182,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1108,"base":12},"right_expr":{"type":"numeric_atoms","value":1609,"base":12}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1033,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8649,"base":12},"right_expr":{"type":"numeric_atoms","value":5619,"base":12}}}}},"used_operators":["T2fj7uvVaJ","SUmda5xLS4","yyfyN0ffXY","B5M0gjZbta","8HhzD0ZcuI","9HNa5Wba9A","rJVOvQCfKK","3ViojmjbAp","JLbD19bQDL","2DlMacCsIx","DpFCA1CohY","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4517","layer":4},{"info":"number node, value=4633","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=4633, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1280","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=3708, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4925010","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4925010, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=7481","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=7481, right_input=5182, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5182","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1609, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1612","layer":3},{"info":"compute binary expreesion, left_input=5182, right_input=-1612, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-8353384","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8353384, 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=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3099","layer":3},{"info":"number node, value=8649","layer":4},{"info":"number node, value=5619","layer":4},{"info":"compute binary expreesion, left_input=8649, right_input=5619, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3030","layer":3},{"info":"compute binary expreesion, left_input=-3099, right_input=3030, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2745↬⫖↰⪸2821↙⫖↰⪸8A8⨽⫖↰⪸2190⪄(⫖↰⪸43B5⨎⫖↰⪸2BBA*⫖↰⪸784⨓⫖↰⪸B21))⋓(((⋗⩬⋾⫖↰⪸721)⩨(⫖↰⪸5009-⫖↰⪸3303))⪠⩆⊳)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2745↬⫖↰⪸2821↙⫖↰⪸8A8⨽⫖↰⪸2190⪄(⫖↰⪸43B5⨎⫖↰⪸2BBA*⫖↰⪸784⨓⫖↰⪸B21))⋓(((⋗⩬⋾⫖↰⪸721)⩨(⫖↰⪸5009-⫖↰⪸3303))⪠⩆⊳)","cot":[{"info":"⫖↰⪸2745↬⫖↰⪸2821=NaN","layer":3},{"info":"⫖↰⪸8A8⨽⫖↰⪸2190=⫖↰⪸-1796156","layer":3},{"info":"NaN↙⫖↰⪸-1796156=NaN","layer":2},{"info":"⫖↰⪸43B5⨎⫖↰⪸2BBA=⫖↰⪸2BBA","layer":3},{"info":"⫖↰⪸784⨓⫖↰⪸B21=⫖↰⪸-B24","layer":3},{"info":"⫖↰⪸2BBA*⫖↰⪸-B24=⫖↰⪸-296A174","layer":2},{"info":"NaN⪄⫖↰⪸-296A174=⫖↰⪸2377","layer":1},{"info":"⋗⩬⋾⫖↰⪸721=⫖↰⪸-1963","layer":3},{"info":"⫖↰⪸5009-⫖↰⪸3303=⫖↰⪸1906","layer":3},{"info":"⫖↰⪸-1963⩨⫖↰⪸1906=⫖↰⪸3","layer":2},{"info":"⫖↰⪸3⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2377⋓⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":137,"expression_no_base_symbol":"⨵≀≌($3416$⨐⩸⫘$2982$∲⫓$1578$⇷$2371$)⨐⩸⫘($1075$⫸⊐$1173$)⪘⫢$1923$⊴$4874$","expression":"⨵≀≌(⫖↰⪸1B88⨐⩸⫘⫖↰⪸1886∲⫓⫖↰⪸AB6⇷⫖↰⪸1457)⨐⩸⫘(⫖↰⪸757⫸⊐⫖↰⪸819)⪘⫢⫖↰⪸1143⊴⫖↰⪸29A2","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27018,"operation_count":8,"complexity_ratio":3377.25,"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":3416,"base":12},"right_expr":{"type":"numeric_atoms","value":2982,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1578,"base":12},"right_expr":{"type":"numeric_atoms","value":2371,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1075,"base":12},"right_expr":{"type":"numeric_atoms","value":1173,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1923,"base":12},"right_expr":{"type":"numeric_atoms","value":4874,"base":12}}}}},"used_operators":["srAu1WTS94","fu6greOZ01","i8ToyICDmI","mp7IySMOzn","oacrs7FA3X","mqXw5SEYmG","Nsiff2A1zJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3416","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=2982, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1578","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2371, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4742","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4742, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1173, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4567","layer":3},{"info":"number node, value=1923","layer":4},{"info":"number node, value=4874","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=4874, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4567, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸1B88⨐⩸⫘⫖↰⪸1886∲⫓⫖↰⪸AB6⇷⫖↰⪸1457)⨐⩸⫘(⫖↰⪸757⫸⊐⫖↰⪸819)⪘⫢⫖↰⪸1143⊴⫖↰⪸29A2=NaN","reverse_text":"NaN=⨵≀≌(⫖↰⪸1B88⨐⩸⫘⫖↰⪸1886∲⫓⫖↰⪸AB6⇷⫖↰⪸1457)⨐⩸⫘(⫖↰⪸757⫸⊐⫖↰⪸819)⪘⫢⫖↰⪸1143⊴⫖↰⪸29A2","cot":[{"info":"⫖↰⪸1B88⨐⩸⫘⫖↰⪸1886=NaN","layer":3},{"info":"⫖↰⪸AB6⇷⫖↰⪸1457=⫖↰⪸28B2","layer":3},{"info":"NaN∲⫓⫖↰⪸28B2=⫖↰⪸0","layer":2},{"info":"⫖↰⪸757⫸⊐⫖↰⪸819=⫖↰⪸2787","layer":3},{"info":"⫖↰⪸1143⊴⫖↰⪸29A2=NaN","layer":3},{"info":"⫖↰⪸2787⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸0⨐⩸⫘NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"(+⊝⨔(($1024$%$7330$)⫥∨⫟($1502$⩠)))⊉≛↸($1969$≹⇙⪍$3981$/$3502$⋳⪒$1249$)⪘⫢(($1831$⋷$8242$)⨁⊸⫻)","expression":"(+⊝⨔((⫖↰⪸714%⫖↰⪸42AA)⫥∨⫟(⫖↰⪸A52⩠)))⊉≛↸(⫖↰⪸1181≹⇙⪍⫖↰⪸2379/⫖↰⪸203A⋳⪒⫖↰⪸881)⪘⫢((⫖↰⪸1087⋷⫖↰⪸492A)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":217,"operation_count":11,"complexity_ratio":19.727272727272727,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":7330,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1502,"base":12}}}},"right_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":3981,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3502,"base":12},"right_expr":{"type":"numeric_atoms","value":1249,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1831,"base":12},"right_expr":{"type":"numeric_atoms","value":8242,"base":12}}}}},"used_operators":["DZ8iAZOCBD","DhbWaqg5eL","KYD54nUTWz","k8jYdgA6NY","sJAwomhLZr","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","12rbrZMWeM","glklzrTFfD","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1918","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"number node, value=7330","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=7330, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1024","layer":3},{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1024, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"number node, value=1969","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=3981, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3502","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=1249, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5468, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1831","layer":4},{"info":"number node, value=8242","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=8242, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=14653","layer":3},{"info":"compute unary expreesion, input=14653, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=14653","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14653, 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=1522, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3044","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔((⫖↰⪸714%⫖↰⪸42AA)⫥∨⫟(⫖↰⪸A52⩠)))⊉≛↸(⫖↰⪸1181≹⇙⪍⫖↰⪸2379/⫖↰⪸203A⋳⪒⫖↰⪸881)⪘⫢((⫖↰⪸1087⋷⫖↰⪸492A)⨁⊸⫻)=⫖↰⪸1918","reverse_text":"⫖↰⪸1918=(+⊝⨔((⫖↰⪸714%⫖↰⪸42AA)⫥∨⫟(⫖↰⪸A52⩠)))⊉≛↸(⫖↰⪸1181≹⇙⪍⫖↰⪸2379/⫖↰⪸203A⋳⪒⫖↰⪸881)⪘⫢((⫖↰⪸1087⋷⫖↰⪸492A)⨁⊸⫻)","cot":[{"info":"⫖↰⪸714%⫖↰⪸42AA=⫖↰⪸714","layer":3},{"info":"⫖↰⪸A52⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸714⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸1181≹⇙⪍⫖↰⪸2379=NaN","layer":3},{"info":"⫖↰⪸203A⋳⪒⫖↰⪸881=⫖↰⪸31B8","layer":3},{"info":"NaN/⫖↰⪸31B8=NaN","layer":2},{"info":"⫖↰⪸1087⋷⫖↰⪸492A=⫖↰⪸8591","layer":3},{"info":"⫖↰⪸8591⨁⊸⫻=⫖↰⪸8591","layer":2},{"info":"NaN⪘⫢⫖↰⪸8591=NaN","layer":1},{"info":"⫖↰⪸A6A⊉≛↸NaN=⫖↰⪸1918","layer":0}]}
{"id":139,"expression_no_base_symbol":"(⇁⨣⪵($1412$*$2459$)⋝⋈⪟($4491$≭$3647$))⨎(↔($1764$⫸⊐$1874$))≭(+⊝⨔($2086$⋫))","expression":"(⇁⨣⪵(⫖↰⪸998*⫖↰⪸150B)⋝⋈⪟(⫖↰⪸2723≭⫖↰⪸213B))⨎(↔(⫖↰⪸1030⫸⊐⫖↰⪸1102))≭(+⊝⨔(⫖↰⪸125A⋫))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3576,"operation_count":10,"complexity_ratio":357.6,"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":1412,"base":12},"right_expr":{"type":"numeric_atoms","value":2459,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4491,"base":12},"right_expr":{"type":"numeric_atoms","value":3647,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1764,"base":12},"right_expr":{"type":"numeric_atoms","value":1874,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2086,"base":12}}}}},"used_operators":["rJVOvQCfKK","inkyxCbjAn","2DDjHMKMc0","9HNa5Wba9A","rxpJgHHUmx","ruOEQAzv1W","mqXw5SEYmG","DhbWaqg5eL","JL8yIekQnl"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1412","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=2459, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3472108","layer":3},{"info":"number node, value=4491","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=3647, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3472108, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1764","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=1874, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7371","layer":3},{"info":"compute unary expreesion, input=7371, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7098","layer":2},{"info":"number node, value=2086","layer":4},{"info":"compute unary expreesion, input=2086, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2086","layer":3},{"info":"compute unary expreesion, input=2086, 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=-7098, right_input=1522, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(⫖↰⪸998*⫖↰⪸150B)⋝⋈⪟(⫖↰⪸2723≭⫖↰⪸213B))⨎(↔(⫖↰⪸1030⫸⊐⫖↰⪸1102))≭(+⊝⨔(⫖↰⪸125A⋫))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫖↰⪸998*⫖↰⪸150B)⋝⋈⪟(⫖↰⪸2723≭⫖↰⪸213B))⨎(↔(⫖↰⪸1030⫸⊐⫖↰⪸1102))≭(+⊝⨔(⫖↰⪸125A⋫))","cot":[{"info":"⫖↰⪸998*⫖↰⪸150B=⫖↰⪸11B53A4","layer":3},{"info":"⫖↰⪸2723≭⫖↰⪸213B=NaN","layer":3},{"info":"⫖↰⪸11B53A4⋝⋈⪟NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⫖↰⪸1030⫸⊐⫖↰⪸1102=⫖↰⪸4323","layer":3},{"info":"↔⫖↰⪸4323=⫖↰⪸-4136","layer":2},{"info":"⫖↰⪸125A⋫=⫖↰⪸125A","layer":3},{"info":"+⊝⨔⫖↰⪸125A=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸-4136≭⫖↰⪸A6A=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"((⨈⫕$1416$)⨸⪁($2921$⊘))⩚⊴⇥(($1266$↺$1801$)⨽(⊙↵-$1207$))⇼⇔∾($7073$⨟⋌⩍$1086$⨽(≦∁$4685$))≹⇙⪍(⊙↵-(⨞⊢$2146$))","expression":"((⨈⫕⫖↰⪸9A0)⨸⪁(⫖↰⪸1835⊘))⩚⊴⇥((⫖↰⪸896↺⫖↰⪸1061)⨽(⊙↵-⫖↰⪸847))⇼⇔∾(⫖↰⪸4115⨟⋌⩍⫖↰⪸766⨽(≦∁⫖↰⪸2865))≹⇙⪍(⊙↵-(⨞⊢⫖↰⪸12AA))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44260,"operation_count":14,"complexity_ratio":3161.4285714285716,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1416,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2921,"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":1801,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1207,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7073,"base":12},"right_expr":{"type":"numeric_atoms","value":1086,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4685,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2146,"base":12}}}}},"used_operators":["tifHPKVTfV","NTOWxs364D","g55IO6H4Gj","megm06wKyl","gu96TGCTMs","8HhzD0ZcuI","7j4O788W3g","oWn0xqSxBt","AHs5Up7iyr","rGHVDoGpnC","9ICcGScMcE","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","Tcnh7f0tEr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"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 = 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=2921","layer":4},{"info":"compute unary expreesion, input=2921, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-42","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1801, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1801","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1801, right_input=-1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9729486","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=-9729486, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=9729407","layer":1},{"info":"number node, value=7073","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=7073, right_input=1086, 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=4685","layer":4},{"info":"compute unary expreesion, input=4685, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4685","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4685, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2320","layer":3},{"info":"compute unary expreesion, input=-2320, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=9729407, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨈⫕⫖↰⪸9A0)⨸⪁(⫖↰⪸1835⊘))⩚⊴⇥((⫖↰⪸896↺⫖↰⪸1061)⨽(⊙↵-⫖↰⪸847))⇼⇔∾(⫖↰⪸4115⨟⋌⩍⫖↰⪸766⨽(≦∁⫖↰⪸2865))≹⇙⪍(⊙↵-(⨞⊢⫖↰⪸12AA))=NaN","reverse_text":"NaN=((⨈⫕⫖↰⪸9A0)⨸⪁(⫖↰⪸1835⊘))⩚⊴⇥((⫖↰⪸896↺⫖↰⪸1061)⨽(⊙↵-⫖↰⪸847))⇼⇔∾(⫖↰⪸4115⨟⋌⩍⫖↰⪸766⨽(≦∁⫖↰⪸2865))≹⇙⪍(⊙↵-(⨞⊢⫖↰⪸12AA))","cot":[{"info":"⨈⫕⫖↰⪸9A0=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1835⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-19⨸⪁⫖↰⪸0=⫖↰⪸-36","layer":2},{"info":"⫖↰⪸896↺⫖↰⪸1061=⫖↰⪸1061","layer":3},{"info":"⊙↵-⫖↰⪸847=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1061⨽⫖↰⪸-1=⫖↰⪸-33125A6","layer":2},{"info":"⫖↰⪸-36⩚⊴⇥⫖↰⪸-33125A6=⫖↰⪸331253B","layer":1},{"info":"⫖↰⪸4115⨟⋌⩍⫖↰⪸766=NaN","layer":3},{"info":"≦∁⫖↰⪸2865=⫖↰⪸2865","layer":3},{"info":"NaN⨽⫖↰⪸2865=NaN","layer":2},{"info":"⨞⊢⫖↰⪸12AA=⫖↰⪸-1414","layer":3},{"info":"⊙↵-⫖↰⪸-1414=⫖↰⪸144","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸144=NaN","layer":1},{"info":"⫖↰⪸331253B⇼⇔∾NaN=NaN","layer":0}]}
{"id":141,"expression_no_base_symbol":"($1997$≎⊠⪸$3331$*$2157$⨓$1440$)⨪↰⇹($2407$⋳⪒$1008$↺$2853$⋓$3887$)/(⨈⫕$2213$)∑⇟⊟($1783$∧)≧⫂∧(($5949$⊉≛↸$9742$)↙$7989$⋝⋈⪟$5270$)","expression":"(⫖↰⪸11A5≎⊠⪸⫖↰⪸1B17*⫖↰⪸12B9⨓⫖↰⪸A00)⨪↰⇹(⫖↰⪸1487⋳⪒⫖↰⪸700↺⫖↰⪸1799⋓⫖↰⪸22BB)/(⨈⫕⫖↰⪸1345)∑⇟⊟(⫖↰⪸1047∧)≧⫂∧((⫖↰⪸3539⊉≛↸⫖↰⪸577A)↙⫖↰⪸4759⋝⋈⪟⫖↰⪸3072)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11575,"operation_count":15,"complexity_ratio":771.6666666666666,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1997,"base":12},"right_expr":{"type":"numeric_atoms","value":3331,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2157,"base":12},"right_expr":{"type":"numeric_atoms","value":1440,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2407,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2853,"base":12},"right_expr":{"type":"numeric_atoms","value":3887,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2213,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1783,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5949,"base":12},"right_expr":{"type":"numeric_atoms","value":9742,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7989,"base":12},"right_expr":{"type":"numeric_atoms","value":5270,"base":12}}}}},"used_operators":["XhwjNDsVaA","tmPS8pqC7x","9HNa5Wba9A","bJkvcejdHO","3ViojmjbAp","7j4O788W3g","12rbrZMWeM","T2fj7uvVaJ","Ph9nP6C5qx","U7g4x0WXJJ","megm06wKyl","z63VuFQld9","yyfyN0ffXY","DZ8iAZOCBD","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1997","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=3331, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=516750","layer":3},{"info":"number node, value=2157","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=1440, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1443","layer":3},{"info":"compute binary expreesion, left_input=516750, right_input=-1443, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-745670250","layer":2},{"info":"number node, value=2407","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=1008, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3519","layer":3},{"info":"number node, value=2853","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=3887, 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=3519, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-745670250, 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":1},{"info":"number node, value=2213","layer":4},{"info":"compute unary expreesion, input=2213, 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=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5949","layer":4},{"info":"number node, value=9742","layer":4},{"info":"compute binary expreesion, left_input=5949, right_input=9742, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11898","layer":3},{"info":"number node, value=7989","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=7989, right_input=5270, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7989","layer":3},{"info":"compute binary expreesion, left_input=11898, right_input=7989, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23967","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23967, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸11A5≎⊠⪸⫖↰⪸1B17*⫖↰⪸12B9⨓⫖↰⪸A00)⨪↰⇹(⫖↰⪸1487⋳⪒⫖↰⪸700↺⫖↰⪸1799⋓⫖↰⪸22BB)/(⨈⫕⫖↰⪸1345)∑⇟⊟(⫖↰⪸1047∧)≧⫂∧((⫖↰⪸3539⊉≛↸⫖↰⪸577A)↙⫖↰⪸4759⋝⋈⪟⫖↰⪸3072)=NaN","reverse_text":"NaN=(⫖↰⪸11A5≎⊠⪸⫖↰⪸1B17*⫖↰⪸12B9⨓⫖↰⪸A00)⨪↰⇹(⫖↰⪸1487⋳⪒⫖↰⪸700↺⫖↰⪸1799⋓⫖↰⪸22BB)/(⨈⫕⫖↰⪸1345)∑⇟⊟(⫖↰⪸1047∧)≧⫂∧((⫖↰⪸3539⊉≛↸⫖↰⪸577A)↙⫖↰⪸4759⋝⋈⪟⫖↰⪸3072)","cot":[{"info":"⫖↰⪸11A5≎⊠⪸⫖↰⪸1B17=⫖↰⪸20B066","layer":3},{"info":"⫖↰⪸12B9⨓⫖↰⪸A00=⫖↰⪸-A03","layer":3},{"info":"⫖↰⪸20B066*⫖↰⪸-A03=⫖↰⪸-189882176","layer":2},{"info":"⫖↰⪸1487⋳⪒⫖↰⪸700=⫖↰⪸2053","layer":3},{"info":"⫖↰⪸1799⋓⫖↰⪸22BB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2053↺⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-189882176⨪↰⇹⫖↰⪸0=NaN","layer":1},{"info":"⨈⫕⫖↰⪸1345=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1047∧=NaN","layer":3},{"info":"⫖↰⪸-19∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸3539⊉≛↸⫖↰⪸577A=⫖↰⪸6A76","layer":3},{"info":"⫖↰⪸4759⋝⋈⪟⫖↰⪸3072=⫖↰⪸4759","layer":3},{"info":"⫖↰⪸6A76↙⫖↰⪸4759=⫖↰⪸-11A53","layer":2},{"info":"NaN≧⫂∧⫖↰⪸-11A53=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"(⋗⩬⋾($3456$≎⊠⪸$5177$⊭↱($7003$⫡⨏$1050$)))↺(($2497$↛⩡⫤)⪨≂(∥⊫$1036$))⋥≓≎($2905$⊉≛↸$1853$)+⇶⊼($4389$⫥∨⫟$1082$)","expression":"(⋗⩬⋾(⫖↰⪸2000≎⊠⪸⫖↰⪸2BB5⊭↱(⫖↰⪸4077⫡⨏⫖↰⪸736)))↺((⫖↰⪸1541↛⩡⫤)⪨≂(∥⊫⫖↰⪸724))⋥≓≎(⫖↰⪸1821⊉≛↸⫖↰⪸10A5)+⇶⊼(⫖↰⪸2659⫥∨⫟⫖↰⪸762)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8081,"operation_count":12,"complexity_ratio":673.4166666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3456,"base":12},"right_expr":{"type":"numeric_atoms","value":5177,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7003,"base":12},"right_expr":{"type":"numeric_atoms","value":1050,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2497,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1036,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2905,"base":12},"right_expr":{"type":"numeric_atoms","value":1853,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4389,"base":12},"right_expr":{"type":"numeric_atoms","value":1082,"base":12}}}}},"used_operators":["7j4O788W3g","DpFCA1CohY","COABgblf1C","bJkvcejdHO","QMFrweE19q","Qy55tPpLXF","sdazOOVcIp","FU0Cs4j7VP","P8v4zCKN1o","TpPTUOHfaN","DZ8iAZOCBD","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":4},{"info":"number node, value=5177","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=5177, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=894631","layer":3},{"info":"number node, value=7003","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=7003, right_input=1050, 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=37898","layer":3},{"info":"compute binary expreesion, left_input=894631, right_input=37898, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1713461","layer":2},{"info":"compute unary expreesion, input=-1713461, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=5140383","layer":1},{"info":"number node, value=2497","layer":4},{"info":"compute unary expreesion, input=2497, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-373136","layer":3},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1904","layer":3},{"info":"compute binary expreesion, left_input=-373136, right_input=1904, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-749978","layer":2},{"info":"number node, value=2905","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=1853, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5810","layer":3},{"info":"number node, value=4389","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=4389, right_input=1082, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5810, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-749978, 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=5140383, right_input=67, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾(⫖↰⪸2000≎⊠⪸⫖↰⪸2BB5⊭↱(⫖↰⪸4077⫡⨏⫖↰⪸736)))↺((⫖↰⪸1541↛⩡⫤)⪨≂(∥⊫⫖↰⪸724))⋥≓≎(⫖↰⪸1821⊉≛↸⫖↰⪸10A5)+⇶⊼(⫖↰⪸2659⫥∨⫟⫖↰⪸762)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⋗⩬⋾(⫖↰⪸2000≎⊠⪸⫖↰⪸2BB5⊭↱(⫖↰⪸4077⫡⨏⫖↰⪸736)))↺((⫖↰⪸1541↛⩡⫤)⪨≂(∥⊫⫖↰⪸724))⋥≓≎(⫖↰⪸1821⊉≛↸⫖↰⪸10A5)+⇶⊼(⫖↰⪸2659⫥∨⫟⫖↰⪸762)","cot":[{"info":"⫖↰⪸2000≎⊠⪸⫖↰⪸2BB5=⫖↰⪸371887","layer":3},{"info":"⫖↰⪸4077⫡⨏⫖↰⪸736=⫖↰⪸19B22","layer":3},{"info":"⫖↰⪸371887⊭↱⫖↰⪸19B22=⫖↰⪸-6A7705","layer":2},{"info":"⋗⩬⋾⫖↰⪸-6A7705=⫖↰⪸187A913","layer":1},{"info":"⫖↰⪸1541↛⩡⫤=⫖↰⪸-15BB28","layer":3},{"info":"∥⊫⫖↰⪸724=⫖↰⪸1128","layer":3},{"info":"⫖↰⪸-15BB28⪨≂⫖↰⪸1128=⫖↰⪸-302022","layer":2},{"info":"⫖↰⪸1821⊉≛↸⫖↰⪸10A5=⫖↰⪸3442","layer":3},{"info":"⫖↰⪸2659⫥∨⫟⫖↰⪸762=NaN","layer":3},{"info":"⫖↰⪸3442+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸-302022⋥≓≎NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸187A913↺⫖↰⪸57=⫖↰⪸57","layer":0}]}
{"id":143,"expression_no_base_symbol":"($3179$⫥∨⫟$5183$⪨≂$1509$⊉≛↸$6495$)∼($1956$⇷$1865$⨐⩸⫘($3910$⪨≂$1063$))∑⇟⊟(($1016$/$1126$)∑⇟⊟($2912$⩷∴$3039$)⫥∨⫟((↽≂$6638$)/$7224$↺$1094$))","expression":"(⫖↰⪸1A0B⫥∨⫟⫖↰⪸2BBB⪨≂⫖↰⪸A59⊉≛↸⫖↰⪸3913)∼(⫖↰⪸1170⇷⫖↰⪸10B5⨐⩸⫘(⫖↰⪸231A⪨≂⫖↰⪸747))∑⇟⊟((⫖↰⪸708/⫖↰⪸79A)∑⇟⊟(⫖↰⪸1828⩷∴⫖↰⪸1913)⫥∨⫟((↽≂⫖↰⪸3A12)/⫖↰⪸4220↺⫖↰⪸772))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":109535,"operation_count":15,"complexity_ratio":7302.333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3179,"base":12},"right_expr":{"type":"numeric_atoms","value":5183,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1509,"base":12},"right_expr":{"type":"numeric_atoms","value":6495,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1956,"base":12},"right_expr":{"type":"numeric_atoms","value":1865,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3910,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"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":1126,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2912,"base":12},"right_expr":{"type":"numeric_atoms","value":3039,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6638,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7224,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}}}}},"used_operators":["U7g4x0WXJJ","DyGG3AbaNP","sdazOOVcIp","KYD54nUTWz","DZ8iAZOCBD","fu6greOZ01","mp7IySMOzn","XhwjNDsVaA","9FxExcQeMw","u6S6b8DprG","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3179","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=5183, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=6495","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=6495, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3018, op_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=1956","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=1865, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3730","layer":3},{"info":"number node, value=3910","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=1063, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5796","layer":3},{"info":"compute binary expreesion, left_input=3730, right_input=5796, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1016","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1126, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2912","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=3039, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-286","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-286, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6638","layer":4},{"info":"compute unary expreesion, input=6638, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13276","layer":3},{"info":"number node, value=7224","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=7224, right_input=1094, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1094","layer":3},{"info":"compute binary expreesion, left_input=-13276, right_input=1094, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-13","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A0B⫥∨⫟⫖↰⪸2BBB⪨≂⫖↰⪸A59⊉≛↸⫖↰⪸3913)∼(⫖↰⪸1170⇷⫖↰⪸10B5⨐⩸⫘(⫖↰⪸231A⪨≂⫖↰⪸747))∑⇟⊟((⫖↰⪸708/⫖↰⪸79A)∑⇟⊟(⫖↰⪸1828⩷∴⫖↰⪸1913)⫥∨⫟((↽≂⫖↰⪸3A12)/⫖↰⪸4220↺⫖↰⪸772))=NaN","reverse_text":"NaN=(⫖↰⪸1A0B⫥∨⫟⫖↰⪸2BBB⪨≂⫖↰⪸A59⊉≛↸⫖↰⪸3913)∼(⫖↰⪸1170⇷⫖↰⪸10B5⨐⩸⫘(⫖↰⪸231A⪨≂⫖↰⪸747))∑⇟⊟((⫖↰⪸708/⫖↰⪸79A)∑⇟⊟(⫖↰⪸1828⩷∴⫖↰⪸1913)⫥∨⫟((↽≂⫖↰⪸3A12)/⫖↰⪸4220↺⫖↰⪸772))","cot":[{"info":"⫖↰⪸1A0B⫥∨⫟⫖↰⪸2BBB=NaN","layer":3},{"info":"⫖↰⪸A59⊉≛↸⫖↰⪸3913=⫖↰⪸18B6","layer":3},{"info":"NaN⪨≂⫖↰⪸18B6=NaN","layer":2},{"info":"⫖↰⪸1170⇷⫖↰⪸10B5=⫖↰⪸21AA","layer":3},{"info":"⫖↰⪸231A⪨≂⫖↰⪸747=⫖↰⪸3430","layer":3},{"info":"⫖↰⪸21AA⨐⩸⫘⫖↰⪸3430=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⫖↰⪸708/⫖↰⪸79A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1828⩷∴⫖↰⪸1913=⫖↰⪸-1BA","layer":3},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸-1BA=NaN","layer":2},{"info":"↽≂⫖↰⪸3A12=⫖↰⪸-7824","layer":3},{"info":"⫖↰⪸4220↺⫖↰⪸772=⫖↰⪸772","layer":3},{"info":"⫖↰⪸-7824/⫖↰⪸772=⫖↰⪸-11","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸-11=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"((∥⊫$1977$⋥≓≎$7695$)⫥∨⫟($2365$⋥≓≎$2802$⇼⇔∾$6421$⊴$1115$))∸","expression":"((∥⊫⫖↰⪸1189⋥≓≎⫖↰⪸4553)⫥∨⫟(⫖↰⪸1451⋥≓≎⫖↰⪸1756⇼⇔∾⫖↰⪸3871⊴⫖↰⪸78B))∸","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9742,"operation_count":7,"complexity_ratio":1391.7142857142858,"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":1977,"base":12},"right_expr":{"type":"numeric_atoms","value":7695,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2365,"base":12},"right_expr":{"type":"numeric_atoms","value":2802,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6421,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}}}}},"used_operators":["o20kRiQErp","KYD54nUTWz","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","Nsiff2A1zJ"],"dependent_operators":["tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1977","layer":4},{"info":"number node, value=7695","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=7695, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13446","layer":3},{"info":"compute unary expreesion, input=13446, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=14314","layer":2},{"info":"number node, value=2365","layer":4},{"info":"number node, value=2802","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=2802, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3272","layer":3},{"info":"number node, value=6421","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=6421, right_input=1115, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3272, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14314, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"((∥⊫⫖↰⪸1189⋥≓≎⫖↰⪸4553)⫥∨⫟(⫖↰⪸1451⋥≓≎⫖↰⪸1756⇼⇔∾⫖↰⪸3871⊴⫖↰⪸78B))∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=((∥⊫⫖↰⪸1189⋥≓≎⫖↰⪸4553)⫥∨⫟(⫖↰⪸1451⋥≓≎⫖↰⪸1756⇼⇔∾⫖↰⪸3871⊴⫖↰⪸78B))∸","cot":[{"info":"⫖↰⪸1189⋥≓≎⫖↰⪸4553=⫖↰⪸7946","layer":3},{"info":"∥⊫⫖↰⪸7946=⫖↰⪸834A","layer":2},{"info":"⫖↰⪸1451⋥≓≎⫖↰⪸1756=⫖↰⪸1A88","layer":3},{"info":"⫖↰⪸3871⊴⫖↰⪸78B=NaN","layer":3},{"info":"⫖↰⪸1A88⇼⇔∾NaN=NaN","layer":2},{"info":"⫖↰⪸834A⫥∨⫟NaN=NaN","layer":1},{"info":"NaN∸=⫖↰⪸129","layer":0}]}
{"id":145,"expression_no_base_symbol":"⨑⩽⪐((($4070$⊠≄⫣)∧)⇋≉)","expression":"⨑⩽⪐(((⫖↰⪸2432⊠≄⫣)∧)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18,"operation_count":4,"complexity_ratio":4.5,"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":4070,"base":12}}}}},"used_operators":["AF7qkfDlqP","XIabStNQrY","z63VuFQld9","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸6A1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4070","layer":4},{"info":"compute unary expreesion, input=4070, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"compute unary expreesion, input=-98, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=985","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(((⫖↰⪸2432⊠≄⫣)∧)⇋≉)=⫖↰⪸6A1","reverse_text":"⫖↰⪸6A1=⨑⩽⪐(((⫖↰⪸2432⊠≄⫣)∧)⇋≉)","cot":[{"info":"⫖↰⪸2432⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∧=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":1},{"info":"⨑⩽⪐⫖↰⪸-82=⫖↰⪸6A1","layer":0}]}
{"id":146,"expression_no_base_symbol":"(↥($1366$+⇶⊼$1306$)⪘⫢($6448$⨎$3907$))↙(($1947$⩷∴$1892$∲⫓$1394$↬$2624$)↺(($3018$∧)⊭↱($2687$≋⫹)))","expression":"(↥(⫖↰⪸95A+⇶⊼⫖↰⪸90A)⪘⫢(⫖↰⪸3894⨎⫖↰⪸2317))↙((⫖↰⪸1163⩷∴⫖↰⪸1118∲⫓⫖↰⪸982↬⫖↰⪸1628)↺((⫖↰⪸18B6∧)⊭↱(⫖↰⪸167B≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39,"operation_count":12,"complexity_ratio":3.25,"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":1366,"base":12},"right_expr":{"type":"numeric_atoms","value":1306,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6448,"base":12},"right_expr":{"type":"numeric_atoms","value":3907,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1947,"base":12},"right_expr":{"type":"numeric_atoms","value":1892,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1394,"base":12},"right_expr":{"type":"numeric_atoms","value":2624,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3018,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2687,"base":12}}}}},"used_operators":["yyfyN0ffXY","A8NUZmVepG","oacrs7FA3X","TpPTUOHfaN","rJVOvQCfKK","7j4O788W3g","i8ToyICDmI","9FxExcQeMw","B5M0gjZbta","COABgblf1C","z63VuFQld9","N41Kp7NANJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1366","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1306, 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=6448","layer":4},{"info":"number node, value=3907","layer":4},{"info":"compute binary expreesion, left_input=6448, right_input=3907, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3907","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3907, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=1947","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=1892, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=78","layer":3},{"info":"number node, value=1394","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=2624, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=78, 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=3018","layer":4},{"info":"compute unary expreesion, input=3018, 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=2687","layer":4},{"info":"compute unary expreesion, input=2687, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5374, 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 = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↥(⫖↰⪸95A+⇶⊼⫖↰⪸90A)⪘⫢(⫖↰⪸3894⨎⫖↰⪸2317))↙((⫖↰⪸1163⩷∴⫖↰⪸1118∲⫓⫖↰⪸982↬⫖↰⪸1628)↺((⫖↰⪸18B6∧)⊭↱(⫖↰⪸167B≋⫹)))=NaN","reverse_text":"NaN=(↥(⫖↰⪸95A+⇶⊼⫖↰⪸90A)⪘⫢(⫖↰⪸3894⨎⫖↰⪸2317))↙((⫖↰⪸1163⩷∴⫖↰⪸1118∲⫓⫖↰⪸982↬⫖↰⪸1628)↺((⫖↰⪸18B6∧)⊭↱(⫖↰⪸167B≋⫹)))","cot":[{"info":"⫖↰⪸95A+⇶⊼⫖↰⪸90A=NaN","layer":3},{"info":"⫖↰⪸3894⨎⫖↰⪸2317=⫖↰⪸2317","layer":3},{"info":"NaN⪘⫢⫖↰⪸2317=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⫖↰⪸1163⩷∴⫖↰⪸1118=⫖↰⪸66","layer":3},{"info":"⫖↰⪸982↬⫖↰⪸1628=NaN","layer":3},{"info":"⫖↰⪸66∲⫓NaN=NaN","layer":2},{"info":"⫖↰⪸18B6∧=NaN","layer":3},{"info":"⫖↰⪸167B≋⫹=⫖↰⪸-313A","layer":3},{"info":"NaN⊭↱⫖↰⪸-313A=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"≦∁(⊙↵-(↥($3070$⪒$2870$)))","expression":"≦∁(⊙↵-(↥(⫖↰⪸193A⪒⫖↰⪸17B2)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":199,"operation_count":4,"complexity_ratio":49.75,"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":3070,"base":12},"right_expr":{"type":"numeric_atoms","value":2870,"base":12}}}}},"used_operators":["9ICcGScMcE","oWn0xqSxBt","A8NUZmVepG","f6k1SAg4EE"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-228","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3070","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=3070, right_input=2870, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5940","layer":3},{"info":"compute unary expreesion, input=-5940, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":2},{"info":"compute unary expreesion, input=27, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"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":0}],"base":12,"result_base":12,"text":"≦∁(⊙↵-(↥(⫖↰⪸193A⪒⫖↰⪸17B2)))=⫖↰⪸-228","reverse_text":"⫖↰⪸-228=≦∁(⊙↵-(↥(⫖↰⪸193A⪒⫖↰⪸17B2)))","cot":[{"info":"⫖↰⪸193A⪒⫖↰⪸17B2=⫖↰⪸-3530","layer":3},{"info":"↥⫖↰⪸-3530=⫖↰⪸23","layer":2},{"info":"⊙↵-⫖↰⪸23=⫖↰⪸0","layer":1},{"info":"≦∁⫖↰⪸0=⫖↰⪸-228","layer":0}]}
{"id":148,"expression_no_base_symbol":"(↽≂$1037$)+⇶⊼(⨈⫕$4354$)≭(⪝⪂⫅$6399$⪮%⊝$3188$)⫥∨⫟(+⊝⨔($3650$∼$1874$⋥≓≎($7488$+$2637$)))","expression":"(↽≂⫖↰⪸725)+⇶⊼(⨈⫕⫖↰⪸262A)≭(⪝⪂⫅⫖↰⪸3853⪮%⊝⫖↰⪸1A18)⫥∨⫟(+⊝⨔(⫖↰⪸2142∼⫖↰⪸1102⋥≓≎(⫖↰⪸4400+⫖↰⪸1639)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3382,"operation_count":11,"complexity_ratio":307.45454545454544,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1037,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4354,"base":12}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6399,"base":12},"right_expr":{"type":"numeric_atoms","value":3188,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3650,"base":12},"right_expr":{"type":"numeric_atoms","value":1874,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7488,"base":12},"right_expr":{"type":"numeric_atoms","value":2637,"base":12}}}}},"used_operators":["KYD54nUTWz","rxpJgHHUmx","TpPTUOHfaN","u6S6b8DprG","megm06wKyl","XTarYq4gQB","IWmyXbctLI","DhbWaqg5eL","Qy55tPpLXF","DyGG3AbaNP","W4YGzv6Whe"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2074","layer":3},{"info":"number node, value=4354","layer":4},{"info":"compute unary expreesion, input=4354, 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=-2074, right_input=-21, 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=6399","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=6399, right_input=3188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13114","layer":3},{"info":"compute unary expreesion, input=13114, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1927758","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1927758, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3650","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=1874, 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=7488","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=7488, right_input=2637, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10125","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10125, 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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸725)+⇶⊼(⨈⫕⫖↰⪸262A)≭(⪝⪂⫅⫖↰⪸3853⪮%⊝⫖↰⪸1A18)⫥∨⫟(+⊝⨔(⫖↰⪸2142∼⫖↰⪸1102⋥≓≎(⫖↰⪸4400+⫖↰⪸1639)))=NaN","reverse_text":"NaN=(↽≂⫖↰⪸725)+⇶⊼(⨈⫕⫖↰⪸262A)≭(⪝⪂⫅⫖↰⪸3853⪮%⊝⫖↰⪸1A18)⫥∨⫟(+⊝⨔(⫖↰⪸2142∼⫖↰⪸1102⋥≓≎(⫖↰⪸4400+⫖↰⪸1639)))","cot":[{"info":"↽≂⫖↰⪸725=⫖↰⪸-124A","layer":3},{"info":"⨈⫕⫖↰⪸262A=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-124A+⇶⊼⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸3853⪮%⊝⫖↰⪸1A18=⫖↰⪸770A","layer":3},{"info":"⪝⪂⫅⫖↰⪸770A=⫖↰⪸-78B726","layer":2},{"info":"NaN≭⫖↰⪸-78B726=NaN","layer":1},{"info":"⫖↰⪸2142∼⫖↰⪸1102=NaN","layer":3},{"info":"⫖↰⪸4400+⫖↰⪸1639=⫖↰⪸5A39","layer":3},{"info":"NaN⋥≓≎⫖↰⪸5A39=⫖↰⪸57","layer":2},{"info":"+⊝⨔⫖↰⪸57=⫖↰⪸A6A","layer":1},{"info":"NaN⫥∨⫟⫖↰⪸A6A=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"(($1644$≭$2770$)⋓($1409$⋳⪒$2584$)⩷∴(($1557$⩤)⋓($1670$-$1215$)))⇷(⨵≀≌$3703$⨎$5544$)⪘⫢(($8653$⩨$3091$)⨁⊸⫻)","expression":"((⫖↰⪸B50≭⫖↰⪸172A)⋓(⫖↰⪸995⋳⪒⫖↰⪸15B4)⩷∴((⫖↰⪸A99⩤)⋓(⫖↰⪸B72-⫖↰⪸853)))⇷(⨵≀≌⫖↰⪸2187⨎⫖↰⪸3260)⪘⫢((⫖↰⪸5011⩨⫖↰⪸1957)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":516,"operation_count":13,"complexity_ratio":39.69230769230769,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1644,"base":12},"right_expr":{"type":"numeric_atoms","value":2770,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1409,"base":12},"right_expr":{"type":"numeric_atoms","value":2584,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1557,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1670,"base":12},"right_expr":{"type":"numeric_atoms","value":1215,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3703,"base":12},"right_expr":{"type":"numeric_atoms","value":5544,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8653,"base":12},"right_expr":{"type":"numeric_atoms","value":3091,"base":12}}}}},"used_operators":["mp7IySMOzn","9FxExcQeMw","T2fj7uvVaJ","rxpJgHHUmx","12rbrZMWeM","Z2TMIBDE3Q","rysDP5nf3Z","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","glklzrTFfD","2DlMacCsIx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=2770, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=2584, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-53","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-53, 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=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1557","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1215, op_id = rysDP5nf3Z binary_op_definition= 'None', output=455","layer":3},{"info":"compute binary expreesion, left_input=-1557, right_input=455, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":1},{"info":"number node, value=3703","layer":4},{"info":"number node, value=5544","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=5544, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5544","layer":3},{"info":"compute unary expreesion, input=5544, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16632","layer":2},{"info":"number node, value=8653","layer":4},{"info":"number node, value=3091","layer":4},{"info":"compute binary expreesion, left_input=8653, right_input=3091, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-16632, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-32, right_input=-1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-2","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B50≭⫖↰⪸172A)⋓(⫖↰⪸995⋳⪒⫖↰⪸15B4)⩷∴((⫖↰⪸A99⩤)⋓(⫖↰⪸B72-⫖↰⪸853)))⇷(⨵≀≌⫖↰⪸2187⨎⫖↰⪸3260)⪘⫢((⫖↰⪸5011⩨⫖↰⪸1957)⨁⊸⫻)=⫖↰⪸-2","reverse_text":"⫖↰⪸-2=((⫖↰⪸B50≭⫖↰⪸172A)⋓(⫖↰⪸995⋳⪒⫖↰⪸15B4)⩷∴((⫖↰⪸A99⩤)⋓(⫖↰⪸B72-⫖↰⪸853)))⇷(⨵≀≌⫖↰⪸2187⨎⫖↰⪸3260)⪘⫢((⫖↰⪸5011⩨⫖↰⪸1957)⨁⊸⫻)","cot":[{"info":"⫖↰⪸B50≭⫖↰⪸172A=NaN","layer":3},{"info":"⫖↰⪸995⋳⪒⫖↰⪸15B4=⫖↰⪸-45","layer":3},{"info":"NaN⋓⫖↰⪸-45=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A99⩤=⫖↰⪸-A99","layer":3},{"info":"⫖↰⪸B72-⫖↰⪸853=⫖↰⪸31B","layer":3},{"info":"⫖↰⪸-A99⋓⫖↰⪸31B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⩷∴⫖↰⪸0=⫖↰⪸-28","layer":1},{"info":"⫖↰⪸2187⨎⫖↰⪸3260=⫖↰⪸3260","layer":3},{"info":"⨵≀≌⫖↰⪸3260=⫖↰⪸-9760","layer":2},{"info":"⫖↰⪸5011⩨⫖↰⪸1957=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨁⊸⫻=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-9760⪘⫢⫖↰⪸0=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸-28⇷⫖↰⪸-1=⫖↰⪸-2","layer":0}]}
{"id":150,"expression_no_base_symbol":"($2635$⇷$3150$/(⨈⫕$2169$))∼($1519$⪮%⊝$1287$⫡⨏(⊙↵-$3853$))≫≃","expression":"(⫖↰⪸1637⇷⫖↰⪸19A6/(⨈⫕⫖↰⪸1309))∼(⫖↰⪸A67⪮%⊝⫖↰⪸8B3⫡⨏(⊙↵-⫖↰⪸2291))≫≃","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41511,"operation_count":8,"complexity_ratio":5188.875,"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":2635,"base":12},"right_expr":{"type":"numeric_atoms","value":3150,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2169,"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":1287,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3853,"base":12}}}}},"used_operators":["X99M06cbEe","DyGG3AbaNP","XhwjNDsVaA","mp7IySMOzn","megm06wKyl","QMFrweE19q","IWmyXbctLI","oWn0xqSxBt"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=3150, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6300","layer":3},{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, 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=6300, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-300","layer":2},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1287, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3354","layer":3},{"info":"number node, value=3853","layer":4},{"info":"compute unary expreesion, input=3853, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=3354, right_input=-1, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17551","layer":2},{"info":"compute binary expreesion, left_input=-300, right_input=17551, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1637⇷⫖↰⪸19A6/(⨈⫕⫖↰⪸1309))∼(⫖↰⪸A67⪮%⊝⫖↰⪸8B3⫡⨏(⊙↵-⫖↰⪸2291))≫≃=NaN","reverse_text":"NaN=(⫖↰⪸1637⇷⫖↰⪸19A6/(⨈⫕⫖↰⪸1309))∼(⫖↰⪸A67⪮%⊝⫖↰⪸8B3⫡⨏(⊙↵-⫖↰⪸2291))≫≃","cot":[{"info":"⫖↰⪸1637⇷⫖↰⪸19A6=⫖↰⪸3790","layer":3},{"info":"⨈⫕⫖↰⪸1309=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸3790/⫖↰⪸-19=⫖↰⪸-210","layer":2},{"info":"⫖↰⪸A67⪮%⊝⫖↰⪸8B3=⫖↰⪸1B36","layer":3},{"info":"⊙↵-⫖↰⪸2291=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1B36⫡⨏⫖↰⪸-1=⫖↰⪸A1A7","layer":2},{"info":"⫖↰⪸-210∼⫖↰⪸A1A7=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"(((⇁⨣⪵$6730$)≎⊠⪸(⨰⫟⨤$1033$))⩷∴(($2174$⨵⪆$3859$)⪠⩆⊳))⨟⋌⩍(($4531$⨰$4679$)⇷($3308$⩚⊴⇥$7636$))⪮%⊝($6216$⪒$1115$+(≤/$1132$))","expression":"(((⇁⨣⪵⫖↰⪸3A8A)≎⊠⪸(⨰⫟⨤⫖↰⪸721))⩷∴((⫖↰⪸1312⨵⪆⫖↰⪸2297)⪠⩆⊳))⨟⋌⩍((⫖↰⪸2757⨰⫖↰⪸285B)⇷(⫖↰⪸1AB8⩚⊴⇥⫖↰⪸4504))⪮%⊝(⫖↰⪸3720⪒⫖↰⪸78B+(≤/⫖↰⪸7A4))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5281,"operation_count":14,"complexity_ratio":377.2142857142857,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6730,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1033,"base":12}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2174,"base":12},"right_expr":{"type":"numeric_atoms","value":3859,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4531,"base":12},"right_expr":{"type":"numeric_atoms","value":4679,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3308,"base":12},"right_expr":{"type":"numeric_atoms","value":7636,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6216,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1132,"base":12}}}}},"used_operators":["rGHVDoGpnC","9FxExcQeMw","bJkvcejdHO","inkyxCbjAn","Tw270M8GLb","JLbD19bQDL","2DQ55sFlQl","IWmyXbctLI","mp7IySMOzn","eewbuw0ToL","NTOWxs364D","W4YGzv6Whe","f6k1SAg4EE","eLAdDNolq6"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6730","layer":4},{"info":"compute unary expreesion, input=6730, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2174","layer":4},{"info":"number node, value=3859","layer":4},{"info":"compute binary expreesion, left_input=2174, right_input=3859, 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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=102","layer":1},{"info":"number node, value=4531","layer":4},{"info":"number node, value=4679","layer":4},{"info":"compute binary expreesion, left_input=4531, right_input=4679, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-138","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=7636","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=7636, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11065","layer":3},{"info":"compute binary expreesion, left_input=-138, right_input=-11065, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=6216","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=6216, right_input=1115, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7331","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-648","layer":3},{"info":"compute binary expreesion, left_input=-7331, right_input=-648, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-7979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7979, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=102, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⇁⨣⪵⫖↰⪸3A8A)≎⊠⪸(⨰⫟⨤⫖↰⪸721))⩷∴((⫖↰⪸1312⨵⪆⫖↰⪸2297)⪠⩆⊳))⨟⋌⩍((⫖↰⪸2757⨰⫖↰⪸285B)⇷(⫖↰⪸1AB8⩚⊴⇥⫖↰⪸4504))⪮%⊝(⫖↰⪸3720⪒⫖↰⪸78B+(≤/⫖↰⪸7A4))=NaN","reverse_text":"NaN=(((⇁⨣⪵⫖↰⪸3A8A)≎⊠⪸(⨰⫟⨤⫖↰⪸721))⩷∴((⫖↰⪸1312⨵⪆⫖↰⪸2297)⪠⩆⊳))⨟⋌⩍((⫖↰⪸2757⨰⫖↰⪸285B)⇷(⫖↰⪸1AB8⩚⊴⇥⫖↰⪸4504))⪮%⊝(⫖↰⪸3720⪒⫖↰⪸78B+(≤/⫖↰⪸7A4))","cot":[{"info":"⇁⨣⪵⫖↰⪸3A8A=NaN","layer":3},{"info":"⨰⫟⨤⫖↰⪸721=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1312⨵⪆⫖↰⪸2297=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸57⩷∴⫖↰⪸0=⫖↰⪸86","layer":1},{"info":"⫖↰⪸2757⨰⫖↰⪸285B=⫖↰⪸-B6","layer":3},{"info":"⫖↰⪸1AB8⩚⊴⇥⫖↰⪸4504=⫖↰⪸-64A1","layer":3},{"info":"⫖↰⪸-B6⇷⫖↰⪸-64A1=NaN","layer":2},{"info":"⫖↰⪸3720⪒⫖↰⪸78B=⫖↰⪸-42AB","layer":3},{"info":"≤/⫖↰⪸7A4=⫖↰⪸-460","layer":3},{"info":"⫖↰⪸-42AB+⫖↰⪸-460=⫖↰⪸-474B","layer":2},{"info":"NaN⪮%⊝⫖↰⪸-474B=NaN","layer":1},{"info":"⫖↰⪸86⨟⋌⩍NaN=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"(⨑⩽⪐($1143$⩷∴$6174$⊉≛↸(≦∁$3714$)))≭(+⊝⨔((≦∁$1569$)⨪↰⇹($1435$/$4159$)))","expression":"(⨑⩽⪐(⫖↰⪸7B3⩷∴⫖↰⪸36A6⊉≛↸(≦∁⫖↰⪸2196)))≭(+⊝⨔((≦∁⫖↰⪸AA9)⨪↰⇹(⫖↰⪸9B7/⫖↰⪸24A7)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1630,"operation_count":9,"complexity_ratio":181.11111111111111,"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":1143,"base":12},"right_expr":{"type":"numeric_atoms","value":6174,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3714,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1569,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1435,"base":12},"right_expr":{"type":"numeric_atoms","value":4159,"base":12}}}}},"used_operators":["rxpJgHHUmx","AF7qkfDlqP","DZ8iAZOCBD","9FxExcQeMw","9ICcGScMcE","DhbWaqg5eL","tmPS8pqC7x","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1143","layer":4},{"info":"number node, value=6174","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=6174, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10094","layer":3},{"info":"number node, value=3714","layer":4},{"info":"compute unary expreesion, input=3714, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3714","layer":3},{"info":"compute binary expreesion, left_input=-10094, right_input=3714, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3714","layer":2},{"info":"compute unary expreesion, input=-3714, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8217","layer":1},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1569","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=4159, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1569, 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=1569","layer":2},{"info":"compute unary expreesion, input=1569, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=8217, right_input=1522, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐(⫖↰⪸7B3⩷∴⫖↰⪸36A6⊉≛↸(≦∁⫖↰⪸2196)))≭(+⊝⨔((≦∁⫖↰⪸AA9)⨪↰⇹(⫖↰⪸9B7/⫖↰⪸24A7)))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫖↰⪸7B3⩷∴⫖↰⪸36A6⊉≛↸(≦∁⫖↰⪸2196)))≭(+⊝⨔((≦∁⫖↰⪸AA9)⨪↰⇹(⫖↰⪸9B7/⫖↰⪸24A7)))","cot":[{"info":"⫖↰⪸7B3⩷∴⫖↰⪸36A6=⫖↰⪸-5A12","layer":3},{"info":"≦∁⫖↰⪸2196=⫖↰⪸2196","layer":3},{"info":"⫖↰⪸-5A12⊉≛↸⫖↰⪸2196=⫖↰⪸-2196","layer":2},{"info":"⨑⩽⪐⫖↰⪸-2196=⫖↰⪸4909","layer":1},{"info":"≦∁⫖↰⪸AA9=⫖↰⪸AA9","layer":3},{"info":"⫖↰⪸9B7/⫖↰⪸24A7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸AA9⨪↰⇹⫖↰⪸0=⫖↰⪸AA9","layer":2},{"info":"+⊝⨔⫖↰⪸AA9=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸4909≭⫖↰⪸A6A=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"(($4694$⩤)⫸⊐($1717$⊉≛↸$8284$)⫡⨏($3225$+$3525$)⇷($4268$⋫))⨐⩸⫘($1131$⇷$3539$⨽(≤/$2823$))⪘⫢(($9504$+⇶⊼$2029$)⋓($1247$⪠⩆⊳))","expression":"((⫖↰⪸2872⩤)⫸⊐(⫖↰⪸BB1⊉≛↸⫖↰⪸4964)⫡⨏(⫖↰⪸1A49+⫖↰⪸2059)⇷(⫖↰⪸2578⋫))⨐⩸⫘(⫖↰⪸7A3⇷⫖↰⪸206B⨽(≤/⫖↰⪸1773))⪘⫢((⫖↰⪸5600+⇶⊼⫖↰⪸1211)⋓(⫖↰⪸87B⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":121753,"operation_count":15,"complexity_ratio":8116.866666666667,"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":4694,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1717,"base":12},"right_expr":{"type":"numeric_atoms","value":8284,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3225,"base":12},"right_expr":{"type":"numeric_atoms","value":3525,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4268,"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":3539,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2823,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":9504,"base":12},"right_expr":{"type":"numeric_atoms","value":2029,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1247,"base":12}}}}},"used_operators":["fu6greOZ01","QMFrweE19q","mqXw5SEYmG","Z2TMIBDE3Q","DZ8iAZOCBD","mp7IySMOzn","W4YGzv6Whe","JL8yIekQnl","oacrs7FA3X","8HhzD0ZcuI","eLAdDNolq6","T2fj7uvVaJ","TpPTUOHfaN","JLbD19bQDL"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4694","layer":4},{"info":"compute unary expreesion, input=4694, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4694","layer":3},{"info":"number node, value=1717","layer":4},{"info":"number node, value=8284","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=8284, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3434","layer":3},{"info":"compute binary expreesion, left_input=-4694, right_input=3434, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=3225","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=3525, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6750","layer":3},{"info":"number node, value=4268","layer":4},{"info":"compute unary expreesion, input=4268, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4268","layer":3},{"info":"compute binary expreesion, left_input=6750, right_input=4268, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8536","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=8536, 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=22695","layer":1},{"info":"number node, value=1131","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=3539, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7078","layer":3},{"info":"number node, value=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2339","layer":3},{"info":"compute binary expreesion, left_input=7078, right_input=-2339, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-150285921","layer":2},{"info":"number node, value=9504","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=9504, right_input=2029, 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=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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=-150285921, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=22695, right_input=-1, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=4","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2872⩤)⫸⊐(⫖↰⪸BB1⊉≛↸⫖↰⪸4964)⫡⨏(⫖↰⪸1A49+⫖↰⪸2059)⇷(⫖↰⪸2578⋫))⨐⩸⫘(⫖↰⪸7A3⇷⫖↰⪸206B⨽(≤/⫖↰⪸1773))⪘⫢((⫖↰⪸5600+⇶⊼⫖↰⪸1211)⋓(⫖↰⪸87B⪠⩆⊳))=⫖↰⪸4","reverse_text":"⫖↰⪸4=((⫖↰⪸2872⩤)⫸⊐(⫖↰⪸BB1⊉≛↸⫖↰⪸4964)⫡⨏(⫖↰⪸1A49+⫖↰⪸2059)⇷(⫖↰⪸2578⋫))⨐⩸⫘(⫖↰⪸7A3⇷⫖↰⪸206B⨽(≤/⫖↰⪸1773))⪘⫢((⫖↰⪸5600+⇶⊼⫖↰⪸1211)⋓(⫖↰⪸87B⪠⩆⊳))","cot":[{"info":"⫖↰⪸2872⩤=⫖↰⪸-2872","layer":3},{"info":"⫖↰⪸BB1⊉≛↸⫖↰⪸4964=⫖↰⪸1BA2","layer":3},{"info":"⫖↰⪸-2872⫸⊐⫖↰⪸1BA2=⫖↰⪸688","layer":2},{"info":"⫖↰⪸1A49+⫖↰⪸2059=⫖↰⪸3AA6","layer":3},{"info":"⫖↰⪸2578⋫=⫖↰⪸2578","layer":3},{"info":"⫖↰⪸3AA6⇷⫖↰⪸2578=⫖↰⪸4B34","layer":2},{"info":"⫖↰⪸688⫡⨏⫖↰⪸4B34=⫖↰⪸11173","layer":1},{"info":"⫖↰⪸7A3⇷⫖↰⪸206B=⫖↰⪸411A","layer":3},{"info":"≤/⫖↰⪸1773=⫖↰⪸-142B","layer":3},{"info":"⫖↰⪸411A⨽⫖↰⪸-142B=⫖↰⪸-423B7029","layer":2},{"info":"⫖↰⪸5600+⇶⊼⫖↰⪸1211=NaN","layer":3},{"info":"⫖↰⪸87B⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"NaN⋓⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-423B7029⪘⫢⫖↰⪸0=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸11173⨐⩸⫘⫖↰⪸-1=⫖↰⪸4","layer":0}]}
{"id":154,"expression_no_base_symbol":"($1095$⪄$2755$⪨≂($1289$+$7443$))⨰((∂$1079$)≧⫂∧$1295$⨟⋌⩍$2782$)⨸⪁($1611$⨽$6457$⨵⪆$1277$⨪↰⇹$5079$)⪛(⫓⪴($6158$⨰$4192$))","expression":"(⫖↰⪸773⪄⫖↰⪸1717⪨≂(⫖↰⪸8B5+⫖↰⪸4383))⨰((∂⫖↰⪸75B)≧⫂∧⫖↰⪸8BB⨟⋌⩍⫖↰⪸173A)⨸⪁(⫖↰⪸B23⨽⫖↰⪸38A1⨵⪆⫖↰⪸8A5⨪↰⇹⫖↰⪸2B33)⪛(⫓⪴(⫖↰⪸3692⨰⫖↰⪸2514))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4997,"operation_count":14,"complexity_ratio":356.92857142857144,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":2755,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1289,"base":12},"right_expr":{"type":"numeric_atoms","value":7443,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1079,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1295,"base":12},"right_expr":{"type":"numeric_atoms","value":2782,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1611,"base":12},"right_expr":{"type":"numeric_atoms","value":6457,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1277,"base":12},"right_expr":{"type":"numeric_atoms","value":5079,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6158,"base":12},"right_expr":{"type":"numeric_atoms","value":4192,"base":12}}}}},"used_operators":["g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","SUmda5xLS4","W4YGzv6Whe","Ph9nP6C5qx","Uaa54Peajs","rGHVDoGpnC","uFcxV4UQCh","2DQ55sFlQl","8HhzD0ZcuI","tmPS8pqC7x","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2755, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-169169","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=7443","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=7443, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8732","layer":3},{"info":"compute binary expreesion, left_input=-169169, right_input=8732, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-355700","layer":2},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1295","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2782, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-355700, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1611","layer":4},{"info":"number node, value=6457","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=6457, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7804020","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=5079","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=5079, 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=1277","layer":3},{"info":"compute binary expreesion, left_input=-7804020, right_input=1277, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6158","layer":4},{"info":"number node, value=4192","layer":4},{"info":"compute binary expreesion, left_input=6158, right_input=4192, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1976","layer":3},{"info":"compute unary expreesion, input=1976, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3904576","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3904576, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸773⪄⫖↰⪸1717⪨≂(⫖↰⪸8B5+⫖↰⪸4383))⨰((∂⫖↰⪸75B)≧⫂∧⫖↰⪸8BB⨟⋌⩍⫖↰⪸173A)⨸⪁(⫖↰⪸B23⨽⫖↰⪸38A1⨵⪆⫖↰⪸8A5⨪↰⇹⫖↰⪸2B33)⪛(⫓⪴(⫖↰⪸3692⨰⫖↰⪸2514))=NaN","reverse_text":"NaN=(⫖↰⪸773⪄⫖↰⪸1717⪨≂(⫖↰⪸8B5+⫖↰⪸4383))⨰((∂⫖↰⪸75B)≧⫂∧⫖↰⪸8BB⨟⋌⩍⫖↰⪸173A)⨸⪁(⫖↰⪸B23⨽⫖↰⪸38A1⨵⪆⫖↰⪸8A5⨪↰⇹⫖↰⪸2B33)⪛(⫓⪴(⫖↰⪸3692⨰⫖↰⪸2514))","cot":[{"info":"⫖↰⪸773⪄⫖↰⪸1717=⫖↰⪸-81A95","layer":3},{"info":"⫖↰⪸8B5+⫖↰⪸4383=⫖↰⪸5078","layer":3},{"info":"⫖↰⪸-81A95⪨≂⫖↰⪸5078=⫖↰⪸-151A18","layer":2},{"info":"∂⫖↰⪸75B=NaN","layer":3},{"info":"⫖↰⪸8BB⨟⋌⩍⫖↰⪸173A=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸-151A18⨰NaN=NaN","layer":1},{"info":"⫖↰⪸B23⨽⫖↰⪸38A1=⫖↰⪸-2744270","layer":3},{"info":"⫖↰⪸8A5⨪↰⇹⫖↰⪸2B33=⫖↰⪸8A5","layer":3},{"info":"⫖↰⪸-2744270⨵⪆⫖↰⪸8A5=⫖↰⪸114","layer":2},{"info":"⫖↰⪸3692⨰⫖↰⪸2514=⫖↰⪸1188","layer":3},{"info":"⫓⪴⫖↰⪸1188=⫖↰⪸1383714","layer":2},{"info":"⫖↰⪸114⪛⫖↰⪸1383714=⫖↰⪸114","layer":1},{"info":"NaN⨸⪁⫖↰⪸114=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"(($1207$/$1141$)⨟⋌⩍($2211$⩨$1687$)-$2593$⨳⩥⨓$1100$*$1374$⨎$4219$)⇼⇔∾($1405$⇼⇔∾$6258$∲⫓$3147$⨽$6173$)⨳⩥⨓(($1364$≋⫹)/$3724$⊴$1748$)","expression":"((⫖↰⪸847/⫖↰⪸7B1)⨟⋌⩍(⫖↰⪸1343⩨⫖↰⪸B87)-⫖↰⪸1601⨳⩥⨓⫖↰⪸778*⫖↰⪸966⨎⫖↰⪸2537)⇼⇔∾(⫖↰⪸991⇼⇔∾⫖↰⪸3756∲⫓⫖↰⪸19A3⨽⫖↰⪸36A5)⨳⩥⨓((⫖↰⪸958≋⫹)/⫖↰⪸21A4⊴⫖↰⪸1018)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6490,"operation_count":15,"complexity_ratio":432.6666666666667,"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":1207,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2211,"base":12},"right_expr":{"type":"numeric_atoms","value":1687,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2593,"base":12},"right_expr":{"type":"numeric_atoms","value":1100,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1374,"base":12},"right_expr":{"type":"numeric_atoms","value":4219,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1405,"base":12},"right_expr":{"type":"numeric_atoms","value":6258,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3147,"base":12},"right_expr":{"type":"numeric_atoms","value":6173,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1364,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3724,"base":12},"right_expr":{"type":"numeric_atoms","value":1748,"base":12}}}}},"used_operators":["tifHPKVTfV","rysDP5nf3Z","rGHVDoGpnC","XhwjNDsVaA","2DlMacCsIx","9HNa5Wba9A","nCS4ZIUYfx","rJVOvQCfKK","i8ToyICDmI","8HhzD0ZcuI","N41Kp7NANJ","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1141, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1687, 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=1, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=1","layer":2},{"info":"number node, value=2593","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=2593, right_input=1100, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1493","layer":3},{"info":"number node, value=1374","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=4219, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4219","layer":3},{"info":"compute binary expreesion, left_input=-1493, right_input=4219, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-6298967","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=-6298967, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6298968","layer":1},{"info":"number node, value=1405","layer":4},{"info":"number node, value=6258","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=6258, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4853","layer":3},{"info":"number node, value=3147","layer":4},{"info":"number node, value=6173","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=6173, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-29728032","layer":3},{"info":"compute binary expreesion, left_input=4853, right_input=-29728032, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4853","layer":2},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2728","layer":3},{"info":"number node, value=3724","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=1748, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2728, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4853, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6298968, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸847/⫖↰⪸7B1)⨟⋌⩍(⫖↰⪸1343⩨⫖↰⪸B87)-⫖↰⪸1601⨳⩥⨓⫖↰⪸778*⫖↰⪸966⨎⫖↰⪸2537)⇼⇔∾(⫖↰⪸991⇼⇔∾⫖↰⪸3756∲⫓⫖↰⪸19A3⨽⫖↰⪸36A5)⨳⩥⨓((⫖↰⪸958≋⫹)/⫖↰⪸21A4⊴⫖↰⪸1018)=NaN","reverse_text":"NaN=((⫖↰⪸847/⫖↰⪸7B1)⨟⋌⩍(⫖↰⪸1343⩨⫖↰⪸B87)-⫖↰⪸1601⨳⩥⨓⫖↰⪸778*⫖↰⪸966⨎⫖↰⪸2537)⇼⇔∾(⫖↰⪸991⇼⇔∾⫖↰⪸3756∲⫓⫖↰⪸19A3⨽⫖↰⪸36A5)⨳⩥⨓((⫖↰⪸958≋⫹)/⫖↰⪸21A4⊴⫖↰⪸1018)","cot":[{"info":"⫖↰⪸847/⫖↰⪸7B1=⫖↰⪸1","layer":3},{"info":"⫖↰⪸1343⩨⫖↰⪸B87=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1⨟⋌⩍⫖↰⪸0=⫖↰⪸1","layer":2},{"info":"⫖↰⪸1601⨳⩥⨓⫖↰⪸778=⫖↰⪸-A45","layer":3},{"info":"⫖↰⪸966⨎⫖↰⪸2537=⫖↰⪸2537","layer":3},{"info":"⫖↰⪸-A45*⫖↰⪸2537=⫖↰⪸-213929B","layer":2},{"info":"⫖↰⪸1-⫖↰⪸-213929B=⫖↰⪸21392A0","layer":1},{"info":"⫖↰⪸991⇼⇔∾⫖↰⪸3756=⫖↰⪸2985","layer":3},{"info":"⫖↰⪸19A3⨽⫖↰⪸36A5=⫖↰⪸-9B57880","layer":3},{"info":"⫖↰⪸2985∲⫓⫖↰⪸-9B57880=⫖↰⪸2985","layer":2},{"info":"⫖↰⪸958≋⫹=⫖↰⪸-16B4","layer":3},{"info":"⫖↰⪸21A4⊴⫖↰⪸1018=NaN","layer":3},{"info":"⫖↰⪸-16B4/NaN=NaN","layer":2},{"info":"⫖↰⪸2985⨳⩥⨓NaN=NaN","layer":1},{"info":"⫖↰⪸21392A0⇼⇔∾NaN=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"∂(-$1597$⪮%⊝$5851$+⇶⊼($5884$*$3468$))","expression":"∂(-⫖↰⪸B11⪮%⊝⫖↰⪸3477+⇶⊼(⫖↰⪸34A4*⫖↰⪸2010))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3480,"operation_count":5,"complexity_ratio":696.0,"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":1597,"base":12},"right_expr":{"type":"numeric_atoms","value":5851,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5884,"base":12},"right_expr":{"type":"numeric_atoms","value":3468,"base":12}}}}},"used_operators":["Uaa54Peajs","t8gj7n24qd","TpPTUOHfaN","IWmyXbctLI","9HNa5Wba9A"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":4},{"info":"number node, value=5851","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=5851, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3510","layer":3},{"info":"number node, value=5884","layer":4},{"info":"number node, value=3468","layer":4},{"info":"compute binary expreesion, left_input=5884, right_input=3468, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20405712","layer":3},{"info":"compute binary expreesion, left_input=3510, right_input=20405712, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂(-⫖↰⪸B11⪮%⊝⫖↰⪸3477+⇶⊼(⫖↰⪸34A4*⫖↰⪸2010))=NaN","reverse_text":"NaN=∂(-⫖↰⪸B11⪮%⊝⫖↰⪸3477+⇶⊼(⫖↰⪸34A4*⫖↰⪸2010))","cot":[{"info":"⫖↰⪸B11⪮%⊝⫖↰⪸3477=⫖↰⪸2046","layer":3},{"info":"⫖↰⪸34A4*⫖↰⪸2010=⫖↰⪸6A00A40","layer":3},{"info":"⫖↰⪸2046+⇶⊼⫖↰⪸6A00A40=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":157,"expression_no_base_symbol":"($4531$↺$1472$)⪘⫢$4986$↬$3233$⊉≛↸(($5939$⋥≓≎$2343$)⩤)-($2211$⪘⫢$2153$⨐⩸⫘($1180$⊭∹↮))≭($3684$≹⇙⪍$2111$%(+⊝⨔$1462$))","expression":"(⫖↰⪸2757↺⫖↰⪸A28)⪘⫢⫖↰⪸2A76↬⫖↰⪸1A55⊉≛↸((⫖↰⪸352B⋥≓≎⫖↰⪸1433)⩤)-(⫖↰⪸1343⪘⫢⫖↰⪸12B5⨐⩸⫘(⫖↰⪸824⊭∹↮))≭(⫖↰⪸2170≹⇙⪍⫖↰⪸127B%(+⊝⨔⫖↰⪸A1A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85,"operation_count":14,"complexity_ratio":6.071428571428571,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4531,"base":12},"right_expr":{"type":"numeric_atoms","value":1472,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4986,"base":12},"right_expr":{"type":"numeric_atoms","value":3233,"base":12}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5939,"base":12},"right_expr":{"type":"numeric_atoms","value":2343,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2211,"base":12},"right_expr":{"type":"numeric_atoms","value":2153,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1180,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3684,"base":12},"right_expr":{"type":"numeric_atoms","value":2111,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1462,"base":12}}}}},"used_operators":["rysDP5nf3Z","DZ8iAZOCBD","oacrs7FA3X","7j4O788W3g","B5M0gjZbta","Z2TMIBDE3Q","Qy55tPpLXF","rxpJgHHUmx","fu6greOZ01","xNBdhnnwKq","k8jYdgA6NY","AHs5Up7iyr","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4531","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=4531, right_input=1472, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1472","layer":3},{"info":"number node, value=4986","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=4986, right_input=3233, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1472, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=5939","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=5939, right_input=2343, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1220","layer":3},{"info":"compute unary expreesion, input=-1220, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1220","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1220, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2211","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=2153, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4298","layer":3},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2360","layer":3},{"info":"compute binary expreesion, left_input=4298, right_input=2360, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3684","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=2111, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2757↺⫖↰⪸A28)⪘⫢⫖↰⪸2A76↬⫖↰⪸1A55⊉≛↸((⫖↰⪸352B⋥≓≎⫖↰⪸1433)⩤)-(⫖↰⪸1343⪘⫢⫖↰⪸12B5⨐⩸⫘(⫖↰⪸824⊭∹↮))≭(⫖↰⪸2170≹⇙⪍⫖↰⪸127B%(+⊝⨔⫖↰⪸A1A))=NaN","reverse_text":"NaN=(⫖↰⪸2757↺⫖↰⪸A28)⪘⫢⫖↰⪸2A76↬⫖↰⪸1A55⊉≛↸((⫖↰⪸352B⋥≓≎⫖↰⪸1433)⩤)-(⫖↰⪸1343⪘⫢⫖↰⪸12B5⨐⩸⫘(⫖↰⪸824⊭∹↮))≭(⫖↰⪸2170≹⇙⪍⫖↰⪸127B%(+⊝⨔⫖↰⪸A1A))","cot":[{"info":"⫖↰⪸2757↺⫖↰⪸A28=⫖↰⪸A28","layer":3},{"info":"⫖↰⪸2A76↬⫖↰⪸1A55=NaN","layer":3},{"info":"⫖↰⪸A28⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸352B⋥≓≎⫖↰⪸1433=⫖↰⪸-858","layer":3},{"info":"⫖↰⪸-858⩤=⫖↰⪸858","layer":2},{"info":"NaN⊉≛↸⫖↰⪸858=NaN","layer":1},{"info":"⫖↰⪸1343⪘⫢⫖↰⪸12B5=⫖↰⪸25A2","layer":3},{"info":"⫖↰⪸824⊭∹↮=⫖↰⪸1448","layer":3},{"info":"⫖↰⪸25A2⨐⩸⫘⫖↰⪸1448=NaN","layer":2},{"info":"⫖↰⪸2170≹⇙⪍⫖↰⪸127B=NaN","layer":3},{"info":"+⊝⨔⫖↰⪸A1A=⫖↰⪸A6A","layer":3},{"info":"NaN%⫖↰⪸A6A=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"($1801$⫸⊐$3976$⊭↱$5924$⩷∴$2839$)+⇶⊼((⨈⫕$4444$)⨽($5841$*$4536$))⩚⊴⇥((≦∁$1100$⋓$2081$)↺($1074$⨵⪆$1922$)+⇶⊼($2424$⪨≂$1758$))","expression":"(⫖↰⪸1061⫸⊐⫖↰⪸2374⊭↱⫖↰⪸3518⩷∴⫖↰⪸1787)+⇶⊼((⨈⫕⫖↰⪸26A4)⨽(⫖↰⪸3469*⫖↰⪸2760))⩚⊴⇥((≦∁⫖↰⪸778⋓⫖↰⪸1255)↺(⫖↰⪸756⨵⪆⫖↰⪸1142)+⇶⊼(⫖↰⪸14A0⪨≂⫖↰⪸1026))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5041,"operation_count":14,"complexity_ratio":360.07142857142856,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1801,"base":12},"right_expr":{"type":"numeric_atoms","value":3976,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5924,"base":12},"right_expr":{"type":"numeric_atoms","value":2839,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4444,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5841,"base":12},"right_expr":{"type":"numeric_atoms","value":4536,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1100,"base":12},"right_expr":{"type":"numeric_atoms","value":2081,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1074,"base":12},"right_expr":{"type":"numeric_atoms","value":1922,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2424,"base":12},"right_expr":{"type":"numeric_atoms","value":1758,"base":12}}}}},"used_operators":["NTOWxs364D","TpPTUOHfaN","COABgblf1C","mqXw5SEYmG","9FxExcQeMw","8HhzD0ZcuI","megm06wKyl","9HNa5Wba9A","7j4O788W3g","9ICcGScMcE","T2fj7uvVaJ","2DQ55sFlQl","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1801","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=3976, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15779","layer":3},{"info":"number node, value=5924","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=5924, right_input=2839, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6138","layer":3},{"info":"compute binary expreesion, left_input=15779, right_input=6138, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-19277","layer":2},{"info":"number node, value=4444","layer":4},{"info":"compute unary expreesion, input=4444, 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=5841","layer":4},{"info":"number node, value=4536","layer":4},{"info":"compute binary expreesion, left_input=5841, right_input=4536, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26494776","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=26494776, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-79484337","layer":2},{"info":"compute binary expreesion, left_input=-19277, right_input=-79484337, 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=1100","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=2081, 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 = 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=1074","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=1922, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2424","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=1758, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1434","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1434, 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=-320, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1061⫸⊐⫖↰⪸2374⊭↱⫖↰⪸3518⩷∴⫖↰⪸1787)+⇶⊼((⨈⫕⫖↰⪸26A4)⨽(⫖↰⪸3469*⫖↰⪸2760))⩚⊴⇥((≦∁⫖↰⪸778⋓⫖↰⪸1255)↺(⫖↰⪸756⨵⪆⫖↰⪸1142)+⇶⊼(⫖↰⪸14A0⪨≂⫖↰⪸1026))=NaN","reverse_text":"NaN=(⫖↰⪸1061⫸⊐⫖↰⪸2374⊭↱⫖↰⪸3518⩷∴⫖↰⪸1787)+⇶⊼((⨈⫕⫖↰⪸26A4)⨽(⫖↰⪸3469*⫖↰⪸2760))⩚⊴⇥((≦∁⫖↰⪸778⋓⫖↰⪸1255)↺(⫖↰⪸756⨵⪆⫖↰⪸1142)+⇶⊼(⫖↰⪸14A0⪨≂⫖↰⪸1026))","cot":[{"info":"⫖↰⪸1061⫸⊐⫖↰⪸2374=⫖↰⪸916B","layer":3},{"info":"⫖↰⪸3518⩷∴⫖↰⪸1787=⫖↰⪸3676","layer":3},{"info":"⫖↰⪸916B⊭↱⫖↰⪸3676=⫖↰⪸-B1A5","layer":2},{"info":"⨈⫕⫖↰⪸26A4=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸3469*⫖↰⪸2760=⫖↰⪸8A58760","layer":3},{"info":"⫖↰⪸-19⨽⫖↰⪸8A58760=⫖↰⪸-22751A69","layer":2},{"info":"⫖↰⪸-B1A5+⇶⊼⫖↰⪸-22751A69=NaN","layer":1},{"info":"⫖↰⪸778⋓⫖↰⪸1255=⫖↰⪸0","layer":3},{"info":"≦∁⫖↰⪸0=⫖↰⪸-228","layer":2},{"info":"⫖↰⪸756⨵⪆⫖↰⪸1142=⫖↰⪸114","layer":3},{"info":"⫖↰⪸14A0⪨≂⫖↰⪸1026=⫖↰⪸9B6","layer":3},{"info":"⫖↰⪸114+⇶⊼⫖↰⪸9B6=NaN","layer":2},{"info":"⫖↰⪸-228↺NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"($4697$⩚⊴⇥$1029$⋥≓≎($2236$≦≮≮)+(⨵≀≌$1040$)⊴($2710$%$2375$))↙(($5584$∑⇟⊟$2954$⊦⊿)↺((↯⪼$4541$)⊪))","expression":"(⫖↰⪸2875⩚⊴⇥⫖↰⪸719⋥≓≎(⫖↰⪸1364≦≮≮)+(⨵≀≌⫖↰⪸728)⊴(⫖↰⪸169A%⫖↰⪸145B))↙((⫖↰⪸3294∑⇟⊟⫖↰⪸1862⊦⊿)↺((↯⪼⫖↰⪸2765)⊪))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":517,"operation_count":13,"complexity_ratio":39.76923076923077,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4697,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}},"right_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":1040,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2710,"base":12},"right_expr":{"type":"numeric_atoms","value":2375,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5584,"base":12},"right_expr":{"type":"numeric_atoms","value":2954,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4541,"base":12}}}}},"used_operators":["yyfyN0ffXY","W4YGzv6Whe","Qy55tPpLXF","NTOWxs364D","D4vGDi5EA2","Nsiff2A1zJ","srAu1WTS94","k8jYdgA6NY","7j4O788W3g","14qkJME0vr","U7g4x0WXJJ","zVYPLywUTj","8jW3W4yZS5"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4697","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=1029, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5847","layer":3},{"info":"number node, value=2236","layer":4},{"info":"compute unary expreesion, input=2236, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6708","layer":3},{"info":"compute binary expreesion, left_input=-5847, right_input=-6708, 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=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3120","layer":3},{"info":"number node, value=2710","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=2375, op_id = k8jYdgA6NY binary_op_definition= 'None', output=335","layer":3},{"info":"compute binary expreesion, left_input=-3120, right_input=335, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5584","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=5584, right_input=2954, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4541","layer":4},{"info":"compute unary expreesion, input=4541, 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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2875⩚⊴⇥⫖↰⪸719⋥≓≎(⫖↰⪸1364≦≮≮)+(⨵≀≌⫖↰⪸728)⊴(⫖↰⪸169A%⫖↰⪸145B))↙((⫖↰⪸3294∑⇟⊟⫖↰⪸1862⊦⊿)↺((↯⪼⫖↰⪸2765)⊪))=NaN","reverse_text":"NaN=(⫖↰⪸2875⩚⊴⇥⫖↰⪸719⋥≓≎(⫖↰⪸1364≦≮≮)+(⨵≀≌⫖↰⪸728)⊴(⫖↰⪸169A%⫖↰⪸145B))↙((⫖↰⪸3294∑⇟⊟⫖↰⪸1862⊦⊿)↺((↯⪼⫖↰⪸2765)⊪))","cot":[{"info":"⫖↰⪸2875⩚⊴⇥⫖↰⪸719=⫖↰⪸-3473","layer":3},{"info":"⫖↰⪸1364≦≮≮=⫖↰⪸-3A70","layer":3},{"info":"⫖↰⪸-3473⋥≓≎⫖↰⪸-3A70=⫖↰⪸57","layer":2},{"info":"⨵≀≌⫖↰⪸728=⫖↰⪸-1980","layer":3},{"info":"⫖↰⪸169A%⫖↰⪸145B=⫖↰⪸23B","layer":3},{"info":"⫖↰⪸-1980⊴⫖↰⪸23B=NaN","layer":2},{"info":"⫖↰⪸57+NaN=NaN","layer":1},{"info":"⫖↰⪸3294∑⇟⊟⫖↰⪸1862=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"↯⪼⫖↰⪸2765=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19⊪=⫖↰⪸0","layer":2},{"info":"NaN↺⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN↙⫖↰⪸0=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"($2484$⨓$1116$)∼($3331$⊉≛↸$2000$)⋷($4062$↛⩡⫤)⪄(↩$2424$)⨵⪆(↽≂(⨵≀≌$3773$)⩷∴($3820$⨳⩥⨓$1902$))","expression":"(⫖↰⪸1530⨓⫖↰⪸790)∼(⫖↰⪸1B17⊉≛↸⫖↰⪸11A8)⋷(⫖↰⪸2426↛⩡⫤)⪄(↩⫖↰⪸14A0)⨵⪆(↽≂(⨵≀≌⫖↰⪸2225)⩷∴(⫖↰⪸2264⨳⩥⨓⫖↰⪸1126))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13593,"operation_count":12,"complexity_ratio":1132.75,"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":2484,"base":12},"right_expr":{"type":"numeric_atoms","value":1116,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3331,"base":12},"right_expr":{"type":"numeric_atoms","value":2000,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4062,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2424,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3773,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3820,"base":12},"right_expr":{"type":"numeric_atoms","value":1902,"base":12}}}}},"used_operators":["2DQ55sFlQl","23Mk6UjR3U","DyGG3AbaNP","3ViojmjbAp","DZ8iAZOCBD","SUmda5xLS4","FU0Cs4j7VP","jLgFTUHLKL","u6S6b8DprG","9FxExcQeMw","srAu1WTS94","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2484","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=1116, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1119","layer":3},{"info":"number node, value=3331","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=3331, right_input=2000, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6662","layer":3},{"info":"compute binary expreesion, left_input=-1119, right_input=6662, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4062","layer":4},{"info":"compute unary expreesion, input=4062, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-609451","layer":3},{"info":"number node, value=2424","layer":4},{"info":"compute unary expreesion, input=2424, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16612","layer":3},{"info":"compute binary expreesion, left_input=-609451, right_input=-16612, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3773","layer":4},{"info":"compute unary expreesion, input=3773, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11319","layer":3},{"info":"number node, value=3820","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=1902, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1918","layer":3},{"info":"compute binary expreesion, left_input=-11319, right_input=-1918, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18834","layer":2},{"info":"compute unary expreesion, input=-18834, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=37668","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=37668, 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":"(⫖↰⪸1530⨓⫖↰⪸790)∼(⫖↰⪸1B17⊉≛↸⫖↰⪸11A8)⋷(⫖↰⪸2426↛⩡⫤)⪄(↩⫖↰⪸14A0)⨵⪆(↽≂(⨵≀≌⫖↰⪸2225)⩷∴(⫖↰⪸2264⨳⩥⨓⫖↰⪸1126))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1530⨓⫖↰⪸790)∼(⫖↰⪸1B17⊉≛↸⫖↰⪸11A8)⋷(⫖↰⪸2426↛⩡⫤)⪄(↩⫖↰⪸14A0)⨵⪆(↽≂(⨵≀≌⫖↰⪸2225)⩷∴(⫖↰⪸2264⨳⩥⨓⫖↰⪸1126))","cot":[{"info":"⫖↰⪸1530⨓⫖↰⪸790=⫖↰⪸-793","layer":3},{"info":"⫖↰⪸1B17⊉≛↸⫖↰⪸11A8=⫖↰⪸3A32","layer":3},{"info":"⫖↰⪸-793∼⫖↰⪸3A32=NaN","layer":2},{"info":"⫖↰⪸2426↛⩡⫤=⫖↰⪸-254837","layer":3},{"info":"↩⫖↰⪸14A0=⫖↰⪸-9744","layer":3},{"info":"⫖↰⪸-254837⪄⫖↰⪸-9744=⫖↰⪸2377","layer":2},{"info":"NaN⋷⫖↰⪸2377=NaN","layer":1},{"info":"⨵≀≌⫖↰⪸2225=⫖↰⪸-6673","layer":3},{"info":"⫖↰⪸2264⨳⩥⨓⫖↰⪸1126=⫖↰⪸-113A","layer":3},{"info":"⫖↰⪸-6673⩷∴⫖↰⪸-113A=⫖↰⪸-AA96","layer":2},{"info":"↽≂⫖↰⪸-AA96=⫖↰⪸19970","layer":1},{"info":"NaN⨵⪆⫖↰⪸19970=⫖↰⪸114","layer":0}]}
{"id":161,"expression_no_base_symbol":"≉((≉$3198$)∑⇟⊟($2675$⨸⪁$2551$)⊭↱((⨰⫟⨤$2187$)⩠))","expression":"≉((≉⫖↰⪸1A26)∑⇟⊟(⫖↰⪸166B⨸⪁⫖↰⪸1587)⊭↱((⨰⫟⨤⫖↰⪸1323)⩠))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7939,"operation_count":7,"complexity_ratio":1134.142857142857,"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":3198,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2675,"base":12},"right_expr":{"type":"numeric_atoms","value":2551,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2187,"base":12}}}}},"used_operators":["e1ybzncUwg","COABgblf1C","U7g4x0WXJJ","g55IO6H4Gj","sJAwomhLZr","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3198","layer":4},{"info":"compute unary expreesion, input=3198, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3729","layer":3},{"info":"number node, value=2675","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=2551, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10452","layer":3},{"info":"compute binary expreesion, left_input=3729, right_input=10452, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉((≉⫖↰⪸1A26)∑⇟⊟(⫖↰⪸166B⨸⪁⫖↰⪸1587)⊭↱((⨰⫟⨤⫖↰⪸1323)⩠))=NaN","reverse_text":"NaN=≉((≉⫖↰⪸1A26)∑⇟⊟(⫖↰⪸166B⨸⪁⫖↰⪸1587)⊭↱((⨰⫟⨤⫖↰⪸1323)⩠))","cot":[{"info":"≉⫖↰⪸1A26=⫖↰⪸21A9","layer":3},{"info":"⫖↰⪸166B⨸⪁⫖↰⪸1587=⫖↰⪸6070","layer":3},{"info":"⫖↰⪸21A9∑⇟⊟⫖↰⪸6070=NaN","layer":2},{"info":"⨰⫟⨤⫖↰⪸1323=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"↣≠⋷(($4161$⨳⩥⨓$7195$)⫥∨⫟$3521$⪘⫢$4708$⩨($2542$≎⊠⪸$1337$)↬($2420$-$2583$))","expression":"↣≠⋷((⫖↰⪸24A9⨳⩥⨓⫖↰⪸41B7)⫥∨⫟⫖↰⪸2055⪘⫢⫖↰⪸2884⩨(⫖↰⪸157A≎⊠⪸⫖↰⪸935)↬(⫖↰⪸1498-⫖↰⪸15B3))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":451,"operation_count":8,"complexity_ratio":56.375,"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":4161,"base":12},"right_expr":{"type":"numeric_atoms","value":7195,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3521,"base":12},"right_expr":{"type":"numeric_atoms","value":4708,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2542,"base":12},"right_expr":{"type":"numeric_atoms","value":1337,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2420,"base":12},"right_expr":{"type":"numeric_atoms","value":2583,"base":12}}}}},"used_operators":["Asc51vEJeQ","2DlMacCsIx","KYD54nUTWz","nCS4ZIUYfx","oacrs7FA3X","B5M0gjZbta","bJkvcejdHO","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4161","layer":4},{"info":"number node, value=7195","layer":4},{"info":"compute binary expreesion, left_input=4161, right_input=7195, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3034","layer":3},{"info":"number node, value=3521","layer":4},{"info":"number node, value=4708","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=4708, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6918","layer":3},{"info":"compute binary expreesion, left_input=3034, right_input=6918, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2542","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=2542, right_input=1337, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=657905","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=2583, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-163","layer":3},{"info":"compute binary expreesion, left_input=657905, right_input=-163, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((⫖↰⪸24A9⨳⩥⨓⫖↰⪸41B7)⫥∨⫟⫖↰⪸2055⪘⫢⫖↰⪸2884⩨(⫖↰⪸157A≎⊠⪸⫖↰⪸935)↬(⫖↰⪸1498-⫖↰⪸15B3))=NaN","reverse_text":"NaN=↣≠⋷((⫖↰⪸24A9⨳⩥⨓⫖↰⪸41B7)⫥∨⫟⫖↰⪸2055⪘⫢⫖↰⪸2884⩨(⫖↰⪸157A≎⊠⪸⫖↰⪸935)↬(⫖↰⪸1498-⫖↰⪸15B3))","cot":[{"info":"⫖↰⪸24A9⨳⩥⨓⫖↰⪸41B7=⫖↰⪸190A","layer":3},{"info":"⫖↰⪸2055⪘⫢⫖↰⪸2884=⫖↰⪸4006","layer":3},{"info":"⫖↰⪸190A⫥∨⫟⫖↰⪸4006=NaN","layer":2},{"info":"⫖↰⪸157A≎⊠⪸⫖↰⪸935=⫖↰⪸278895","layer":3},{"info":"⫖↰⪸1498-⫖↰⪸15B3=⫖↰⪸-117","layer":3},{"info":"⫖↰⪸278895↬⫖↰⪸-117=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"⫓⪴($6896$⋝⋈⪟$3383$)⊴(⨵≀≌$1301$)⪛(+⊝⨔($3821$⋝⋈⪟$2838$))","expression":"⫓⪴(⫖↰⪸3BA8⋝⋈⪟⫖↰⪸1B5B)⊴(⨵≀≌⫖↰⪸905)⪛(+⊝⨔(⫖↰⪸2265⋝⋈⪟⫖↰⪸1786))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4894,"operation_count":7,"complexity_ratio":699.1428571428571,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6896,"base":12},"right_expr":{"type":"numeric_atoms","value":3383,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1301,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3821,"base":12},"right_expr":{"type":"numeric_atoms","value":2838,"base":12}}}}},"used_operators":["eLxqMNBOBk","uFcxV4UQCh","Nsiff2A1zJ","2DDjHMKMc0","srAu1WTS94","DhbWaqg5eL"],"dependent_operators":["9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6896","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=6896, right_input=3383, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6896","layer":3},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3903","layer":3},{"info":"compute binary expreesion, left_input=6896, right_input=-3903, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3821","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=2838, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3821","layer":3},{"info":"compute unary expreesion, input=3821, 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 = 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸3BA8⋝⋈⪟⫖↰⪸1B5B)⊴(⨵≀≌⫖↰⪸905)⪛(+⊝⨔(⫖↰⪸2265⋝⋈⪟⫖↰⪸1786))=NaN","reverse_text":"NaN=⫓⪴(⫖↰⪸3BA8⋝⋈⪟⫖↰⪸1B5B)⊴(⨵≀≌⫖↰⪸905)⪛(+⊝⨔(⫖↰⪸2265⋝⋈⪟⫖↰⪸1786))","cot":[{"info":"⫖↰⪸3BA8⋝⋈⪟⫖↰⪸1B5B=⫖↰⪸3BA8","layer":3},{"info":"⨵≀≌⫖↰⪸905=⫖↰⪸-2313","layer":3},{"info":"⫖↰⪸3BA8⊴⫖↰⪸-2313=NaN","layer":2},{"info":"⫖↰⪸2265⋝⋈⪟⫖↰⪸1786=⫖↰⪸2265","layer":3},{"info":"+⊝⨔⫖↰⪸2265=⫖↰⪸A6A","layer":2},{"info":"NaN⪛⫖↰⪸A6A=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"⊥(($1492$⋳⪒$1449$)⋝⋈⪟(↽≂$3689$)≋⫹)","expression":"⊥((⫖↰⪸A44⋳⪒⫖↰⪸A09)⋝⋈⪟(↽≂⫖↰⪸2175)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17,"operation_count":5,"complexity_ratio":3.4,"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":1492,"base":12},"right_expr":{"type":"numeric_atoms","value":1449,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3689,"base":12}}}}},"used_operators":["Q3PJZHRvZv","N41Kp7NANJ","2DDjHMKMc0","12rbrZMWeM","u6S6b8DprG"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1492","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1449, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1248","layer":3},{"info":"number node, value=3689","layer":4},{"info":"compute unary expreesion, input=3689, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7378","layer":3},{"info":"compute binary expreesion, left_input=1248, right_input=-7378, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1248","layer":2},{"info":"compute unary expreesion, input=1248, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2496","layer":1},{"info":"compute unary expreesion, input=-2496, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥((⫖↰⪸A44⋳⪒⫖↰⪸A09)⋝⋈⪟(↽≂⫖↰⪸2175)≋⫹)=NaN","reverse_text":"NaN=⊥((⫖↰⪸A44⋳⪒⫖↰⪸A09)⋝⋈⪟(↽≂⫖↰⪸2175)≋⫹)","cot":[{"info":"⫖↰⪸A44⋳⪒⫖↰⪸A09=⫖↰⪸880","layer":3},{"info":"↽≂⫖↰⪸2175=⫖↰⪸-432A","layer":3},{"info":"⫖↰⪸880⋝⋈⪟⫖↰⪸-432A=⫖↰⪸880","layer":2},{"info":"⫖↰⪸880≋⫹=⫖↰⪸-1540","layer":1},{"info":"⊥⫖↰⪸-1540=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"(($1936$⨽$1486$⪨≂(↯⪼$3663$))⨐⩸⫘(⨞⊢(⊥$3025$)))∧","expression":"((⫖↰⪸1154⨽⫖↰⪸A3A⪨≂(↯⪼⫖↰⪸2153))⨐⩸⫘(⨞⊢(⊥⫖↰⪸1901)))∧","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1993,"operation_count":7,"complexity_ratio":284.7142857142857,"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":1936,"base":12},"right_expr":{"type":"numeric_atoms","value":1486,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3663,"base":12}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3025,"base":12}}}}},"used_operators":["z63VuFQld9","fu6greOZ01","sdazOOVcIp","8HhzD0ZcuI","8jW3W4yZS5","xUOZtlo3hN","Q3PJZHRvZv"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1936","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1486, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11247432","layer":3},{"info":"number node, value=3663","layer":4},{"info":"compute unary expreesion, input=3663, 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=-11247432, right_input=-21, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-22494720","layer":2},{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22494720, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1154⨽⫖↰⪸A3A⪨≂(↯⪼⫖↰⪸2153))⨐⩸⫘(⨞⊢(⊥⫖↰⪸1901)))∧=NaN","reverse_text":"NaN=((⫖↰⪸1154⨽⫖↰⪸A3A⪨≂(↯⪼⫖↰⪸2153))⨐⩸⫘(⨞⊢(⊥⫖↰⪸1901)))∧","cot":[{"info":"⫖↰⪸1154⨽⫖↰⪸A3A=⫖↰⪸-3924B20","layer":3},{"info":"↯⪼⫖↰⪸2153=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-3924B20⪨≂⫖↰⪸-19=⫖↰⪸-7649940","layer":2},{"info":"⊥⫖↰⪸1901=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫖↰⪸-7649940⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"(($4591$-$1294$)≹⇙⪍($1801$⨓$1553$)⊉≛↸($3225$⊪)⨪↰⇹($2638$⊭∹↮))↺(↯⪼(($3712$⫸⊐$4412$)⊠≄⫣))","expression":"((⫖↰⪸27A7-⫖↰⪸8BA)≹⇙⪍(⫖↰⪸1061⨓⫖↰⪸A95)⊉≛↸(⫖↰⪸1A49⊪)⨪↰⇹(⫖↰⪸163A⊭∹↮))↺(↯⪼((⫖↰⪸2194⫸⊐⫖↰⪸2678)⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1663,"operation_count":11,"complexity_ratio":151.1818181818182,"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":4591,"base":12},"right_expr":{"type":"numeric_atoms","value":1294,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1801,"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":3225,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2638,"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":4412,"base":12}}}}},"used_operators":["7j4O788W3g","DZ8iAZOCBD","AHs5Up7iyr","rysDP5nf3Z","3ViojmjbAp","tmPS8pqC7x","zVYPLywUTj","xNBdhnnwKq","8jW3W4yZS5","DIvbN7qnHd","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4591","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=4591, right_input=1294, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3297","layer":3},{"info":"number node, value=1801","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=1553, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1556","layer":3},{"info":"compute binary expreesion, left_input=3297, right_input=-1556, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3225","layer":4},{"info":"compute unary expreesion, input=3225, 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=2638","layer":4},{"info":"compute unary expreesion, input=2638, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5276","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5276, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3712","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=4412, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17523","layer":3},{"info":"compute unary expreesion, input=17523, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸27A7-⫖↰⪸8BA)≹⇙⪍(⫖↰⪸1061⨓⫖↰⪸A95)⊉≛↸(⫖↰⪸1A49⊪)⨪↰⇹(⫖↰⪸163A⊭∹↮))↺(↯⪼((⫖↰⪸2194⫸⊐⫖↰⪸2678)⊠≄⫣))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=((⫖↰⪸27A7-⫖↰⪸8BA)≹⇙⪍(⫖↰⪸1061⨓⫖↰⪸A95)⊉≛↸(⫖↰⪸1A49⊪)⨪↰⇹(⫖↰⪸163A⊭∹↮))↺(↯⪼((⫖↰⪸2194⫸⊐⫖↰⪸2678)⊠≄⫣))","cot":[{"info":"⫖↰⪸27A7-⫖↰⪸8BA=⫖↰⪸1AA9","layer":3},{"info":"⫖↰⪸1061⨓⫖↰⪸A95=⫖↰⪸-A98","layer":3},{"info":"⫖↰⪸1AA9≹⇙⪍⫖↰⪸-A98=NaN","layer":2},{"info":"⫖↰⪸1A49⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸163A⊭∹↮=⫖↰⪸3078","layer":3},{"info":"⫖↰⪸0⨪↰⇹⫖↰⪸3078=⫖↰⪸0","layer":2},{"info":"NaN⊉≛↸⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2194⫸⊐⫖↰⪸2678=⫖↰⪸A183","layer":3},{"info":"⫖↰⪸A183⊠≄⫣=⫖↰⪸0","layer":2},{"info":"↯⪼⫖↰⪸0=⫖↰⪸-19","layer":1},{"info":"NaN↺⫖↰⪸-19=⫖↰⪸-19","layer":0}]}
{"id":167,"expression_no_base_symbol":"((($5009$⨁⊸⫻)⨐⩸⫘($1481$⪠⩆⊳))⩚⊴⇥(+⊝⨔$1646$)⨪↰⇹(⨰⫟⨤$2214$))∸","expression":"(((⫖↰⪸2A95⨁⊸⫻)⨐⩸⫘(⫖↰⪸A35⪠⩆⊳))⩚⊴⇥(+⊝⨔⫖↰⪸B52)⨪↰⇹(⨰⫟⨤⫖↰⪸1346))∸","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9766,"operation_count":8,"complexity_ratio":1220.75,"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":5009,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1481,"base":12}}},"right_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":2214,"base":12}}}}},"used_operators":["o20kRiQErp","NTOWxs364D","fu6greOZ01","glklzrTFfD","JLbD19bQDL","tmPS8pqC7x","DhbWaqg5eL","Tw270M8GLb"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5009","layer":4},{"info":"compute unary expreesion, input=5009, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5009","layer":3},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, 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=5009, 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=5009","layer":2},{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, 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=2214","layer":4},{"info":"compute unary expreesion, input=2214, 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=1522, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1522","layer":2},{"info":"compute binary expreesion, left_input=5009, right_input=1522, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6652","layer":1},{"info":"compute unary expreesion, input=-6652, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2A95⨁⊸⫻)⨐⩸⫘(⫖↰⪸A35⪠⩆⊳))⩚⊴⇥(+⊝⨔⫖↰⪸B52)⨪↰⇹(⨰⫟⨤⫖↰⪸1346))∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=(((⫖↰⪸2A95⨁⊸⫻)⨐⩸⫘(⫖↰⪸A35⪠⩆⊳))⩚⊴⇥(+⊝⨔⫖↰⪸B52)⨪↰⇹(⨰⫟⨤⫖↰⪸1346))∸","cot":[{"info":"⫖↰⪸2A95⨁⊸⫻=⫖↰⪸2A95","layer":3},{"info":"⫖↰⪸A35⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2A95⨐⩸⫘⫖↰⪸0=⫖↰⪸2A95","layer":2},{"info":"+⊝⨔⫖↰⪸B52=⫖↰⪸A6A","layer":3},{"info":"⨰⫟⨤⫖↰⪸1346=NaN","layer":3},{"info":"⫖↰⪸A6A⨪↰⇹NaN=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸2A95⩚⊴⇥⫖↰⪸A6A=⫖↰⪸-3A24","layer":1},{"info":"⫖↰⪸-3A24∸=⫖↰⪸129","layer":0}]}
{"id":168,"expression_no_base_symbol":"(($1984$≹⇙⪍$2640$⋥≓≎$3106$⪛$5890$)⨐⩸⫘($2715$⇷$6562$⫡⨏$6411$⇷$2344$))⪘⫢((≤/(↥$1785$))⊪)","expression":"((⫖↰⪸1194≹⇙⪍⫖↰⪸1640⋥≓≎⫖↰⪸196A⪛⫖↰⪸34AA)⨐⩸⫘(⫖↰⪸16A3⇷⫖↰⪸396A⫡⨏⫖↰⪸3863⇷⫖↰⪸1434))⪘⫢((≤/(↥⫖↰⪸1049))⊪)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":127869,"operation_count":11,"complexity_ratio":11624.454545454546,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1984,"base":12},"right_expr":{"type":"numeric_atoms","value":2640,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3106,"base":12},"right_expr":{"type":"numeric_atoms","value":5890,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2715,"base":12},"right_expr":{"type":"numeric_atoms","value":6562,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6411,"base":12},"right_expr":{"type":"numeric_atoms","value":2344,"base":12}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1785,"base":12}}}}},"used_operators":["oacrs7FA3X","fu6greOZ01","Qy55tPpLXF","AHs5Up7iyr","uFcxV4UQCh","QMFrweE19q","mp7IySMOzn","zVYPLywUTj","eLAdDNolq6","A8NUZmVepG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1984","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=2640, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3106","layer":4},{"info":"number node, value=5890","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=5890, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3106","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3106, 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=2715","layer":4},{"info":"number node, value=6562","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=6562, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13124","layer":3},{"info":"number node, value=6411","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=6411, right_input=2344, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4688","layer":3},{"info":"compute binary expreesion, left_input=13124, right_input=4688, 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=75779","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=75779, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1785","layer":4},{"info":"compute unary expreesion, input=1785, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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 unary expreesion, input=484, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1194≹⇙⪍⫖↰⪸1640⋥≓≎⫖↰⪸196A⪛⫖↰⪸34AA)⨐⩸⫘(⫖↰⪸16A3⇷⫖↰⪸396A⫡⨏⫖↰⪸3863⇷⫖↰⪸1434))⪘⫢((≤/(↥⫖↰⪸1049))⊪)=NaN","reverse_text":"NaN=((⫖↰⪸1194≹⇙⪍⫖↰⪸1640⋥≓≎⫖↰⪸196A⪛⫖↰⪸34AA)⨐⩸⫘(⫖↰⪸16A3⇷⫖↰⪸396A⫡⨏⫖↰⪸3863⇷⫖↰⪸1434))⪘⫢((≤/(↥⫖↰⪸1049))⊪)","cot":[{"info":"⫖↰⪸1194≹⇙⪍⫖↰⪸1640=NaN","layer":3},{"info":"⫖↰⪸196A⪛⫖↰⪸34AA=⫖↰⪸196A","layer":3},{"info":"NaN⋥≓≎⫖↰⪸196A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸16A3⇷⫖↰⪸396A=⫖↰⪸7718","layer":3},{"info":"⫖↰⪸3863⇷⫖↰⪸1434=⫖↰⪸2868","layer":3},{"info":"⫖↰⪸7718⫡⨏⫖↰⪸2868=⫖↰⪸37A2B","layer":2},{"info":"⫖↰⪸57⨐⩸⫘⫖↰⪸37A2B=NaN","layer":1},{"info":"↥⫖↰⪸1049=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":2},{"info":"⫖↰⪸344⊪=⫖↰⪸0","layer":1},{"info":"NaN⪘⫢⫖↰⪸0=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"⫛⫱⨽((↽≂$6677$)↬($1353$⊉≛↸$2192$)⨵⪆$1987$⨐⩸⫘$4984$⨸⪁(⋗⩬⋾$1119$))","expression":"⫛⫱⨽((↽≂⫖↰⪸3A45)↬(⫖↰⪸949⊉≛↸⫖↰⪸1328)⨵⪆⫖↰⪸1197⨐⩸⫘⫖↰⪸2A74⨸⪁(⋗⩬⋾⫖↰⪸793))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1085,"operation_count":8,"complexity_ratio":135.625,"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":6677,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1353,"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":1987,"base":12},"right_expr":{"type":"numeric_atoms","value":4984,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1119,"base":12}}}}},"used_operators":["DlLNRPXxWL","2DQ55sFlQl","B5M0gjZbta","u6S6b8DprG","DZ8iAZOCBD","g55IO6H4Gj","fu6greOZ01","DpFCA1CohY"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6677","layer":4},{"info":"compute unary expreesion, input=6677, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13354","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=2192, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2706","layer":3},{"info":"compute binary expreesion, left_input=-13354, right_input=2706, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1987","layer":4},{"info":"number node, value=4984","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=4984, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3357","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3357, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽((↽≂⫖↰⪸3A45)↬(⫖↰⪸949⊉≛↸⫖↰⪸1328)⨵⪆⫖↰⪸1197⨐⩸⫘⫖↰⪸2A74⨸⪁(⋗⩬⋾⫖↰⪸793))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽((↽≂⫖↰⪸3A45)↬(⫖↰⪸949⊉≛↸⫖↰⪸1328)⨵⪆⫖↰⪸1197⨐⩸⫘⫖↰⪸2A74⨸⪁(⋗⩬⋾⫖↰⪸793))","cot":[{"info":"↽≂⫖↰⪸3A45=⫖↰⪸-788A","layer":3},{"info":"⫖↰⪸949⊉≛↸⫖↰⪸1328=⫖↰⪸1696","layer":3},{"info":"⫖↰⪸-788A↬⫖↰⪸1696=NaN","layer":2},{"info":"⫖↰⪸1197⨐⩸⫘⫖↰⪸2A74=NaN","layer":3},{"info":"⋗⩬⋾⫖↰⪸793=⫖↰⪸-1B39","layer":3},{"info":"NaN⨸⪁⫖↰⪸-1B39=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⫛⫱⨽⫖↰⪸114=⫖↰⪸0","layer":0}]}
{"id":170,"expression_no_base_symbol":"(↣≠⋷((≦∁$1350$)⇋≉))⪒(∥⊫$4141$≧⫂∧$2835$)∀⇚≩(⫛⫱⨽(⪲⇎$3859$))","expression":"(↣≠⋷((≦∁⫖↰⪸946)⇋≉))⪒(∥⊫⫖↰⪸2491≧⫂∧⫖↰⪸1783)∀⇚≩(⫛⫱⨽(⪲⇎⫖↰⪸2297))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24049,"operation_count":9,"complexity_ratio":2672.1111111111113,"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":1350,"base":12}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4141,"base":12},"right_expr":{"type":"numeric_atoms","value":2835,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3859,"base":12}}}}},"used_operators":["f6k1SAg4EE","Asc51vEJeQ","XIabStNQrY","9ICcGScMcE","LRNGc0VcxI","P8v4zCKN1o","Ph9nP6C5qx","DlLNRPXxWL","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1350","layer":3},{"info":"compute unary expreesion, input=1350, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2602","layer":2},{"info":"compute unary expreesion, input=2602, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4141","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=4141, right_input=2835, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2362","layer":3},{"info":"compute unary expreesion, input=2362, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3230","layer":2},{"info":"number node, value=3859","layer":4},{"info":"compute unary expreesion, input=3859, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7718","layer":3},{"info":"compute unary expreesion, input=7718, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3230, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷((≦∁⫖↰⪸946)⇋≉))⪒(∥⊫⫖↰⪸2491≧⫂∧⫖↰⪸1783)∀⇚≩(⫛⫱⨽(⪲⇎⫖↰⪸2297))=NaN","reverse_text":"NaN=(↣≠⋷((≦∁⫖↰⪸946)⇋≉))⪒(∥⊫⫖↰⪸2491≧⫂∧⫖↰⪸1783)∀⇚≩(⫛⫱⨽(⪲⇎⫖↰⪸2297))","cot":[{"info":"≦∁⫖↰⪸946=⫖↰⪸946","layer":3},{"info":"⫖↰⪸946⇋≉=⫖↰⪸160A","layer":2},{"info":"↣≠⋷⫖↰⪸160A=NaN","layer":1},{"info":"⫖↰⪸2491≧⫂∧⫖↰⪸1783=⫖↰⪸144A","layer":3},{"info":"∥⊫⫖↰⪸144A=⫖↰⪸1A52","layer":2},{"info":"⪲⇎⫖↰⪸2297=⫖↰⪸4572","layer":3},{"info":"⫛⫱⨽⫖↰⪸4572=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1A52∀⇚≩⫖↰⪸0=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"(⊙↵-($6129$⪮%⊝$1758$⩷∴(≦∁$5480$)))↺(∥⊫(($4553$⪠⩆⊳)⩨(⊥$2173$)))","expression":"(⊙↵-(⫖↰⪸3669⪮%⊝⫖↰⪸1026⩷∴(≦∁⫖↰⪸3208)))↺(∥⊫((⫖↰⪸2775⪠⩆⊳)⩨(⊥⫖↰⪸1311)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14234,"operation_count":9,"complexity_ratio":1581.5555555555557,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6129,"base":12},"right_expr":{"type":"numeric_atoms","value":1758,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5480,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4553,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2173,"base":12}}}}},"used_operators":["7j4O788W3g","oWn0xqSxBt","9FxExcQeMw","IWmyXbctLI","9ICcGScMcE","P8v4zCKN1o","2DlMacCsIx","JLbD19bQDL","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6129","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=6129, right_input=1758, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12574","layer":3},{"info":"number node, value=5480","layer":4},{"info":"compute unary expreesion, input=5480, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5480","layer":3},{"info":"compute binary expreesion, left_input=12574, right_input=5480, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=14156","layer":2},{"info":"compute unary expreesion, input=14156, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4553","layer":4},{"info":"compute unary expreesion, input=4553, 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=2173","layer":4},{"info":"compute unary expreesion, input=2173, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-(⫖↰⪸3669⪮%⊝⫖↰⪸1026⩷∴(≦∁⫖↰⪸3208)))↺(∥⊫((⫖↰⪸2775⪠⩆⊳)⩨(⊥⫖↰⪸1311)))=NaN","reverse_text":"NaN=(⊙↵-(⫖↰⪸3669⪮%⊝⫖↰⪸1026⩷∴(≦∁⫖↰⪸3208)))↺(∥⊫((⫖↰⪸2775⪠⩆⊳)⩨(⊥⫖↰⪸1311)))","cot":[{"info":"⫖↰⪸3669⪮%⊝⫖↰⪸1026=⫖↰⪸733A","layer":3},{"info":"≦∁⫖↰⪸3208=⫖↰⪸3208","layer":3},{"info":"⫖↰⪸733A⩷∴⫖↰⪸3208=⫖↰⪸8238","layer":2},{"info":"⊙↵-⫖↰⪸8238=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸2775⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⊥⫖↰⪸1311=NaN","layer":3},{"info":"⫖↰⪸0⩨NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫖↰⪸-1↺NaN=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"↣≠⋷(($1017$⫥∨⫟$2063$)⋓$2509$⪘⫢$1970$⨰(⨵≀≌($1105$⨁⊸⫻)))","expression":"↣≠⋷((⫖↰⪸709⫥∨⫟⫖↰⪸123B)⋓⫖↰⪸1551⪘⫢⫖↰⪸1182⨰(⨵≀≌(⫖↰⪸781⨁⊸⫻)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":195,"operation_count":7,"complexity_ratio":27.857142857142858,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1017,"base":12},"right_expr":{"type":"numeric_atoms","value":2063,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2509,"base":12},"right_expr":{"type":"numeric_atoms","value":1970,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1105,"base":12}}}}},"used_operators":["Asc51vEJeQ","eewbuw0ToL","T2fj7uvVaJ","KYD54nUTWz","oacrs7FA3X","srAu1WTS94","glklzrTFfD"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2063, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1970, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4894","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4894, 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=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1105","layer":3},{"info":"compute unary expreesion, input=1105, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3315","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3315, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3325","layer":1},{"info":"compute unary expreesion, input=3325, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((⫖↰⪸709⫥∨⫟⫖↰⪸123B)⋓⫖↰⪸1551⪘⫢⫖↰⪸1182⨰(⨵≀≌(⫖↰⪸781⨁⊸⫻)))=NaN","reverse_text":"NaN=↣≠⋷((⫖↰⪸709⫥∨⫟⫖↰⪸123B)⋓⫖↰⪸1551⪘⫢⫖↰⪸1182⨰(⨵≀≌(⫖↰⪸781⨁⊸⫻)))","cot":[{"info":"⫖↰⪸709⫥∨⫟⫖↰⪸123B=NaN","layer":3},{"info":"⫖↰⪸1551⪘⫢⫖↰⪸1182=⫖↰⪸29BA","layer":3},{"info":"NaN⋓⫖↰⪸29BA=⫖↰⪸0","layer":2},{"info":"⫖↰⪸781⨁⊸⫻=⫖↰⪸781","layer":3},{"info":"⨵≀≌⫖↰⪸781=⫖↰⪸-1B03","layer":2},{"info":"⫖↰⪸0⨰⫖↰⪸-1B03=⫖↰⪸1B11","layer":1},{"info":"↣≠⋷⫖↰⪸1B11=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"((($4613$∲⫓$1402$)⨳⩥⨓($3948$⨵⪆$1193$))⋫)⊭↱(($1236$∲⫓$1308$)⨸⪁($4634$⪒$3278$))⪘⫢($6542$≧⫂∧$4208$-(∂$2879$))","expression":"(((⫖↰⪸2805∲⫓⫖↰⪸98A)⨳⩥⨓(⫖↰⪸2350⨵⪆⫖↰⪸835))⋫)⊭↱((⫖↰⪸870∲⫓⫖↰⪸910)⨸⪁(⫖↰⪸2822⪒⫖↰⪸1A92))⪘⫢(⫖↰⪸3952≧⫂∧⫖↰⪸2528-(∂⫖↰⪸17BB))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":192,"operation_count":12,"complexity_ratio":16.0,"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":4613,"base":12},"right_expr":{"type":"numeric_atoms","value":1402,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3948,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":1308,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4634,"base":12},"right_expr":{"type":"numeric_atoms","value":3278,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6542,"base":12},"right_expr":{"type":"numeric_atoms","value":4208,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2879,"base":12}}}}},"used_operators":["COABgblf1C","JL8yIekQnl","nCS4ZIUYfx","i8ToyICDmI","2DQ55sFlQl","oacrs7FA3X","g55IO6H4Gj","f6k1SAg4EE","rysDP5nf3Z","Ph9nP6C5qx","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4613","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=1402, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=1193, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=160","layer":1},{"info":"number node, value=1236","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1308, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4634","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=4634, right_input=3278, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7912","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7912, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-15824","layer":2},{"info":"number node, value=6542","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=6542, right_input=4208, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3735","layer":3},{"info":"number node, value=2879","layer":4},{"info":"compute unary expreesion, input=2879, 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=3735, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15824, 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=160, 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":"(((⫖↰⪸2805∲⫓⫖↰⪸98A)⨳⩥⨓(⫖↰⪸2350⨵⪆⫖↰⪸835))⋫)⊭↱((⫖↰⪸870∲⫓⫖↰⪸910)⨸⪁(⫖↰⪸2822⪒⫖↰⪸1A92))⪘⫢(⫖↰⪸3952≧⫂∧⫖↰⪸2528-(∂⫖↰⪸17BB))=NaN","reverse_text":"NaN=(((⫖↰⪸2805∲⫓⫖↰⪸98A)⨳⩥⨓(⫖↰⪸2350⨵⪆⫖↰⪸835))⋫)⊭↱((⫖↰⪸870∲⫓⫖↰⪸910)⨸⪁(⫖↰⪸2822⪒⫖↰⪸1A92))⪘⫢(⫖↰⪸3952≧⫂∧⫖↰⪸2528-(∂⫖↰⪸17BB))","cot":[{"info":"⫖↰⪸2805∲⫓⫖↰⪸98A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2350⨵⪆⫖↰⪸835=⫖↰⪸114","layer":3},{"info":"⫖↰⪸0⨳⩥⨓⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⋫=⫖↰⪸114","layer":1},{"info":"⫖↰⪸870∲⫓⫖↰⪸910=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2822⪒⫖↰⪸1A92=⫖↰⪸-46B4","layer":3},{"info":"⫖↰⪸0⨸⪁⫖↰⪸-46B4=⫖↰⪸-91A8","layer":2},{"info":"⫖↰⪸3952≧⫂∧⫖↰⪸2528=⫖↰⪸21B3","layer":3},{"info":"∂⫖↰⪸17BB=NaN","layer":3},{"info":"⫖↰⪸21B3-NaN=NaN","layer":2},{"info":"⫖↰⪸-91A8⪘⫢NaN=NaN","layer":1},{"info":"⫖↰⪸114⊭↱NaN=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"⨵≀≌($3264$⨰$6246$⨎($1542$⊘)↪⪝)","expression":"⨵≀≌(⫖↰⪸1A80⨰⫖↰⪸3746⨎(⫖↰⪸A86⊘)↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":37,"operation_count":5,"complexity_ratio":7.4,"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":3264,"base":12},"right_expr":{"type":"numeric_atoms","value":6246,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1542,"base":12}}}}},"used_operators":["srAu1WTS94","l07mrZUIn9","rJVOvQCfKK","eewbuw0ToL","gu96TGCTMs"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3264","layer":4},{"info":"number node, value=6246","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=6246, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2972","layer":3},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2972, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸1A80⨰⫖↰⪸3746⨎(⫖↰⪸A86⊘)↪⪝)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⨵≀≌(⫖↰⪸1A80⨰⫖↰⪸3746⨎(⫖↰⪸A86⊘)↪⪝)","cot":[{"info":"⫖↰⪸1A80⨰⫖↰⪸3746=⫖↰⪸-1878","layer":3},{"info":"⫖↰⪸A86⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1878⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0↪⪝=⫖↰⪸0","layer":1},{"info":"⨵≀≌⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":175,"expression_no_base_symbol":"(∂(($1365$⩨$1189$)⫩⊇))⪢(($2898$≦≮≮)⪛($2872$∀⇚≩$6558$)⨪↰⇹(($6290$⨵⪆$3152$)⇼⇔∾(≦∁$1893$)))","expression":"(∂((⫖↰⪸959⩨⫖↰⪸831)⫩⊇))⪢((⫖↰⪸1816≦≮≮)⪛(⫖↰⪸17B4∀⇚≩⫖↰⪸3966)⨪↰⇹((⫖↰⪸3782⨵⪆⫖↰⪸19A8)⇼⇔∾(≦∁⫖↰⪸1119)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20540,"operation_count":11,"complexity_ratio":1867.2727272727273,"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":1365,"base":12},"right_expr":{"type":"numeric_atoms","value":1189,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2898,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2872,"base":12},"right_expr":{"type":"numeric_atoms","value":6558,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6290,"base":12},"right_expr":{"type":"numeric_atoms","value":3152,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1893,"base":12}}}}},"used_operators":["dWAJyo7jo9","Uaa54Peajs","BjRHVeLaeN","2DlMacCsIx","tmPS8pqC7x","uFcxV4UQCh","D4vGDi5EA2","LRNGc0VcxI","tifHPKVTfV","2DQ55sFlQl","9ICcGScMcE"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1189, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":2},{"info":"compute unary expreesion, input=42, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-306","layer":1},{"info":"number node, value=2898","layer":4},{"info":"compute unary expreesion, input=2898, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8694","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=6558","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=6558, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-8694, 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=6290","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=6290, right_input=3152, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1893","layer":4},{"info":"compute unary expreesion, input=1893, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1893","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1893, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1733","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1733, 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=-306, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂((⫖↰⪸959⩨⫖↰⪸831)⫩⊇))⪢((⫖↰⪸1816≦≮≮)⪛(⫖↰⪸17B4∀⇚≩⫖↰⪸3966)⨪↰⇹((⫖↰⪸3782⨵⪆⫖↰⪸19A8)⇼⇔∾(≦∁⫖↰⪸1119)))=NaN","reverse_text":"NaN=(∂((⫖↰⪸959⩨⫖↰⪸831)⫩⊇))⪢((⫖↰⪸1816≦≮≮)⪛(⫖↰⪸17B4∀⇚≩⫖↰⪸3966)⨪↰⇹((⫖↰⪸3782⨵⪆⫖↰⪸19A8)⇼⇔∾(≦∁⫖↰⪸1119)))","cot":[{"info":"⫖↰⪸959⩨⫖↰⪸831=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⫩⊇=⫖↰⪸36","layer":2},{"info":"∂⫖↰⪸36=⫖↰⪸-216","layer":1},{"info":"⫖↰⪸1816≦≮≮=⫖↰⪸-5046","layer":3},{"info":"⫖↰⪸17B4∀⇚≩⫖↰⪸3966=NaN","layer":3},{"info":"⫖↰⪸-5046⪛NaN=NaN","layer":2},{"info":"⫖↰⪸3782⨵⪆⫖↰⪸19A8=⫖↰⪸114","layer":3},{"info":"≦∁⫖↰⪸1119=⫖↰⪸1119","layer":3},{"info":"⫖↰⪸114⇼⇔∾⫖↰⪸1119=⫖↰⪸1005","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸1005=NaN","layer":1},{"info":"⫖↰⪸-216⪢NaN=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"⊥(((≉$2359$)⪠⩆⊳)⇼⇔∾(⫓⪴($1141$⨓$3537$)))","expression":"⊥(((≉⫖↰⪸1447)⪠⩆⊳)⇼⇔∾(⫓⪴(⫖↰⪸7B1⨓⫖↰⪸2069)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7094,"operation_count":6,"complexity_ratio":1182.3333333333333,"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":2359,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1141,"base":12},"right_expr":{"type":"numeric_atoms","value":3537,"base":12}}}}},"used_operators":["Q3PJZHRvZv","tifHPKVTfV","JLbD19bQDL","e1ybzncUwg","eLxqMNBOBk","3ViojmjbAp"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2359","layer":4},{"info":"compute unary expreesion, input=2359, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2890","layer":3},{"info":"compute unary expreesion, input=2890, 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=1141","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=3537, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3540","layer":3},{"info":"compute unary expreesion, input=-3540, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12531600","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12531600, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12531600","layer":1},{"info":"compute unary expreesion, input=12531600, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(((≉⫖↰⪸1447)⪠⩆⊳)⇼⇔∾(⫓⪴(⫖↰⪸7B1⨓⫖↰⪸2069)))=NaN","reverse_text":"NaN=⊥(((≉⫖↰⪸1447)⪠⩆⊳)⇼⇔∾(⫓⪴(⫖↰⪸7B1⨓⫖↰⪸2069)))","cot":[{"info":"≉⫖↰⪸1447=⫖↰⪸180A","layer":3},{"info":"⫖↰⪸180A⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸7B1⨓⫖↰⪸2069=⫖↰⪸-2070","layer":3},{"info":"⫓⪴⫖↰⪸-2070=⫖↰⪸4244100","layer":2},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸4244100=⫖↰⪸4244100","layer":1},{"info":"⊥⫖↰⪸4244100=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"⩦⩻⨪(↽≂($1933$⪒$1953$))⨎(($1089$≦≮≮)⋥≓≎(⫛⫱⨽$3335$))","expression":"⩦⩻⨪(↽≂(⫖↰⪸1151⪒⫖↰⪸1169))⨎((⫖↰⪸769≦≮≮)⋥≓≎(⫛⫱⨽⫖↰⪸1B1B))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1437,"operation_count":7,"complexity_ratio":205.28571428571428,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1933,"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":1089,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3335,"base":12}}}}},"used_operators":["2td37pGCOC","rJVOvQCfKK","u6S6b8DprG","f6k1SAg4EE","Qy55tPpLXF","D4vGDi5EA2","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1933","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=1953, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3886","layer":3},{"info":"compute unary expreesion, input=-3886, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7772","layer":2},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3267","layer":3},{"info":"number node, value=3335","layer":4},{"info":"compute unary expreesion, input=3335, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3267, 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":"compute binary expreesion, left_input=7772, right_input=67, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=67","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(↽≂(⫖↰⪸1151⪒⫖↰⪸1169))⨎((⫖↰⪸769≦≮≮)⋥≓≎(⫛⫱⨽⫖↰⪸1B1B))=⫖↰⪸57","reverse_text":"⫖↰⪸57=⩦⩻⨪(↽≂(⫖↰⪸1151⪒⫖↰⪸1169))⨎((⫖↰⪸769≦≮≮)⋥≓≎(⫛⫱⨽⫖↰⪸1B1B))","cot":[{"info":"⫖↰⪸1151⪒⫖↰⪸1169=⫖↰⪸-22BA","layer":3},{"info":"↽≂⫖↰⪸-22BA=⫖↰⪸45B8","layer":2},{"info":"⫖↰⪸769≦≮≮=⫖↰⪸-1A83","layer":3},{"info":"⫛⫱⨽⫖↰⪸1B1B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1A83⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":2},{"info":"⫖↰⪸45B8⨎⫖↰⪸57=⫖↰⪸57","layer":1},{"info":"⩦⩻⨪⫖↰⪸57=⫖↰⪸57","layer":0}]}
{"id":178,"expression_no_base_symbol":"((($1014$⨎$7831$)⋫)⊭∹↮)⇼⇔∾((⨵≀≌$1468$)/$2161$⪛$4108$)⨪↰⇹(⊙↵-$1632$)⇷($5181$⪨≂$3065$)","expression":"(((⫖↰⪸706⨎⫖↰⪸4647)⋫)⊭∹↮)⇼⇔∾((⨵≀≌⫖↰⪸A24)/⫖↰⪸1301⪛⫖↰⪸2464)⨪↰⇹(⊙↵-⫖↰⪸B40)⇷(⫖↰⪸2BB9⪨≂⫖↰⪸1935)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9555,"operation_count":11,"complexity_ratio":868.6363636363636,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":7831,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1468,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2161,"base":12},"right_expr":{"type":"numeric_atoms","value":4108,"base":12}}},"right_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":5181,"base":12},"right_expr":{"type":"numeric_atoms","value":3065,"base":12}}}}},"used_operators":["tifHPKVTfV","xNBdhnnwKq","JL8yIekQnl","rJVOvQCfKK","tmPS8pqC7x","XhwjNDsVaA","srAu1WTS94","uFcxV4UQCh","mp7IySMOzn","oWn0xqSxBt","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-908B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=7831","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=7831, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7831","layer":3},{"info":"compute unary expreesion, input=7831, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7831","layer":2},{"info":"compute unary expreesion, input=7831, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15662","layer":1},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4404","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=4108, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2161","layer":3},{"info":"compute binary expreesion, left_input=-4404, right_input=2161, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5181","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=5181, right_input=3065, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4334","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=4334, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8668","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=8668, 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=3","layer":1},{"info":"compute binary expreesion, left_input=15662, right_input=3, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-15659","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸706⨎⫖↰⪸4647)⋫)⊭∹↮)⇼⇔∾((⨵≀≌⫖↰⪸A24)/⫖↰⪸1301⪛⫖↰⪸2464)⨪↰⇹(⊙↵-⫖↰⪸B40)⇷(⫖↰⪸2BB9⪨≂⫖↰⪸1935)=⫖↰⪸-908B","reverse_text":"⫖↰⪸-908B=(((⫖↰⪸706⨎⫖↰⪸4647)⋫)⊭∹↮)⇼⇔∾((⨵≀≌⫖↰⪸A24)/⫖↰⪸1301⪛⫖↰⪸2464)⨪↰⇹(⊙↵-⫖↰⪸B40)⇷(⫖↰⪸2BB9⪨≂⫖↰⪸1935)","cot":[{"info":"⫖↰⪸706⨎⫖↰⪸4647=⫖↰⪸4647","layer":3},{"info":"⫖↰⪸4647⋫=⫖↰⪸4647","layer":2},{"info":"⫖↰⪸4647⊭∹↮=⫖↰⪸9092","layer":1},{"info":"⨵≀≌⫖↰⪸A24=⫖↰⪸-2670","layer":3},{"info":"⫖↰⪸1301⪛⫖↰⪸2464=⫖↰⪸1301","layer":3},{"info":"⫖↰⪸-2670/⫖↰⪸1301=⫖↰⪸-3","layer":2},{"info":"⊙↵-⫖↰⪸B40=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸2BB9⪨≂⫖↰⪸1935=⫖↰⪸2612","layer":3},{"info":"⫖↰⪸-1⇷⫖↰⪸2612=⫖↰⪸5024","layer":2},{"info":"⫖↰⪸-3⨪↰⇹⫖↰⪸5024=⫖↰⪸3","layer":1},{"info":"⫖↰⪸9092⇼⇔∾⫖↰⪸3=⫖↰⪸-908B","layer":0}]}
{"id":179,"expression_no_base_symbol":"∥⊫((($6784$⊠≄⫣)⋷$1742$⋥≓≎$1672$)⩠)","expression":"∥⊫(((⫖↰⪸3B14⊠≄⫣)⋷⫖↰⪸1012⋥≓≎⫖↰⪸B74)⩠)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":30,"operation_count":5,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6784,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1742,"base":12},"right_expr":{"type":"numeric_atoms","value":1672,"base":12}}}}},"used_operators":["P8v4zCKN1o","sJAwomhLZr","23Mk6UjR3U","DIvbN7qnHd","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6784","layer":4},{"info":"compute unary expreesion, input=6784, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1672, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1635","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1635, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫(((⫖↰⪸3B14⊠≄⫣)⋷⫖↰⪸1012⋥≓≎⫖↰⪸B74)⩠)=NaN","reverse_text":"NaN=∥⊫(((⫖↰⪸3B14⊠≄⫣)⋷⫖↰⪸1012⋥≓≎⫖↰⪸B74)⩠)","cot":[{"info":"⫖↰⪸3B14⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1012⋥≓≎⫖↰⪸B74=⫖↰⪸B43","layer":3},{"info":"⫖↰⪸0⋷⫖↰⪸B43=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⩠=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"($2354$⨰$5527$≭$2936$∀⇚≩$1820$)⨰($1847$-$5541$)⊴($1262$⋓$2737$)∲⫓(↽≂(($4119$⫡⨏$4948$)⪄(⫛⫱⨽$3094$)))","expression":"(⫖↰⪸1442⨰⫖↰⪸3247≭⫖↰⪸1848∀⇚≩⫖↰⪸1078)⨰(⫖↰⪸109B-⫖↰⪸3259)⊴(⫖↰⪸892⋓⫖↰⪸1701)∲⫓(↽≂((⫖↰⪸2473⫡⨏⫖↰⪸2A44)⪄(⫛⫱⨽⫖↰⪸195A)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22115,"operation_count":12,"complexity_ratio":1842.9166666666667,"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":2354,"base":12},"right_expr":{"type":"numeric_atoms","value":5527,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2936,"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":1847,"base":12},"right_expr":{"type":"numeric_atoms","value":5541,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":2737,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4119,"base":12},"right_expr":{"type":"numeric_atoms","value":4948,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3094,"base":12}}}}},"used_operators":["i8ToyICDmI","eewbuw0ToL","rxpJgHHUmx","LRNGc0VcxI","Nsiff2A1zJ","rysDP5nf3Z","T2fj7uvVaJ","u6S6b8DprG","SUmda5xLS4","QMFrweE19q","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2354","layer":4},{"info":"number node, value=5527","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=5527, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3163","layer":3},{"info":"number node, value=2936","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=1820, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3163, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1847","layer":4},{"info":"number node, value=5541","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=5541, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3694","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=2737, 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=-3694, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=4119","layer":4},{"info":"number node, value=4948","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=4948, 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=31274","layer":3},{"info":"number node, value=3094","layer":4},{"info":"compute unary expreesion, input=3094, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=31274, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4624641","layer":2},{"info":"compute unary expreesion, input=-4624641, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=9249282","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9249282, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1442⨰⫖↰⪸3247≭⫖↰⪸1848∀⇚≩⫖↰⪸1078)⨰(⫖↰⪸109B-⫖↰⪸3259)⊴(⫖↰⪸892⋓⫖↰⪸1701)∲⫓(↽≂((⫖↰⪸2473⫡⨏⫖↰⪸2A44)⪄(⫛⫱⨽⫖↰⪸195A)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1442⨰⫖↰⪸3247≭⫖↰⪸1848∀⇚≩⫖↰⪸1078)⨰(⫖↰⪸109B-⫖↰⪸3259)⊴(⫖↰⪸892⋓⫖↰⪸1701)∲⫓(↽≂((⫖↰⪸2473⫡⨏⫖↰⪸2A44)⪄(⫛⫱⨽⫖↰⪸195A)))","cot":[{"info":"⫖↰⪸1442⨰⫖↰⪸3247=⫖↰⪸-19B7","layer":3},{"info":"⫖↰⪸1848∀⇚≩⫖↰⪸1078=NaN","layer":3},{"info":"⫖↰⪸-19B7≭NaN=NaN","layer":2},{"info":"⫖↰⪸109B-⫖↰⪸3259=⫖↰⪸-217A","layer":3},{"info":"⫖↰⪸892⋓⫖↰⪸1701=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-217A⊴⫖↰⪸0=⫖↰⪸-67","layer":2},{"info":"NaN⨰⫖↰⪸-67=NaN","layer":1},{"info":"⫖↰⪸2473⫡⨏⫖↰⪸2A44=⫖↰⪸16122","layer":3},{"info":"⫛⫱⨽⫖↰⪸195A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸16122⪄⫖↰⪸0=⫖↰⪸-1670369","layer":2},{"info":"↽≂⫖↰⪸-1670369=⫖↰⪸3120716","layer":1},{"info":"NaN∲⫓⫖↰⪸3120716=⫖↰⪸0","layer":0}]}
{"id":181,"expression_no_base_symbol":"(($1248$⊭↱$1792$)⨓($1015$∑⇟⊟$2845$)⫩⊇)⨳⩥⨓(↥(⩦⩻⨪$4512$))⋳⪒(∥⊫$3509$)+⇶⊼(≦∁$3260$)","expression":"((⫖↰⪸880⊭↱⫖↰⪸1054)⨓(⫖↰⪸707∑⇟⊟⫖↰⪸1791)⫩⊇)⨳⩥⨓(↥(⩦⩻⨪⫖↰⪸2740))⋳⪒(∥⊫⫖↰⪸2045)+⇶⊼(≦∁⫖↰⪸1A78)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":123,"operation_count":11,"complexity_ratio":11.181818181818182,"tree":{"type":"binary","operator":"⨳⩥⨓","left_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":1792,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":2845,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4512,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3509,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3260,"base":12}}}}},"used_operators":["nCS4ZIUYfx","BjRHVeLaeN","3ViojmjbAp","COABgblf1C","U7g4x0WXJJ","12rbrZMWeM","A8NUZmVepG","2td37pGCOC","TpPTUOHfaN","P8v4zCKN1o","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1248","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1792, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1093","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2845, 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=1093, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=4512","layer":4},{"info":"compute unary expreesion, input=4512, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4512","layer":3},{"info":"compute unary expreesion, input=4512, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":2},{"info":"number node, value=3509","layer":4},{"info":"compute unary expreesion, input=3509, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4377","layer":3},{"info":"number node, value=3260","layer":4},{"info":"compute unary expreesion, input=3260, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3260","layer":3},{"info":"compute binary expreesion, left_input=4377, right_input=3260, 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=24, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸880⊭↱⫖↰⪸1054)⨓(⫖↰⪸707∑⇟⊟⫖↰⪸1791)⫩⊇)⨳⩥⨓(↥(⩦⩻⨪⫖↰⪸2740))⋳⪒(∥⊫⫖↰⪸2045)+⇶⊼(≦∁⫖↰⪸1A78)=NaN","reverse_text":"NaN=((⫖↰⪸880⊭↱⫖↰⪸1054)⨓(⫖↰⪸707∑⇟⊟⫖↰⪸1791)⫩⊇)⨳⩥⨓(↥(⩦⩻⨪⫖↰⪸2740))⋳⪒(∥⊫⫖↰⪸2045)+⇶⊼(≦∁⫖↰⪸1A78)","cot":[{"info":"⫖↰⪸880⊭↱⫖↰⪸1054=⫖↰⪸771","layer":3},{"info":"⫖↰⪸707∑⇟⊟⫖↰⪸1791=NaN","layer":3},{"info":"⫖↰⪸771⨓NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⩦⩻⨪⫖↰⪸2740=⫖↰⪸2740","layer":3},{"info":"↥⫖↰⪸2740=⫖↰⪸20","layer":2},{"info":"∥⊫⫖↰⪸2045=⫖↰⪸2649","layer":3},{"info":"≦∁⫖↰⪸1A78=⫖↰⪸1A78","layer":3},{"info":"⫖↰⪸2649+⇶⊼⫖↰⪸1A78=NaN","layer":2},{"info":"⫖↰⪸20⋳⪒NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"$4404$⨓$2939$⫥∨⫟(⨑⩽⪐$1230$)⋷(⨵≀≌($3057$-$6053$))⪨≂($3590$↬$4587$⫡⨏($3206$⨵⪆$4827$))%$8077$⪘⫢$3631$⨎$1856$+⇶⊼$2386$","expression":"⫖↰⪸2670⨓⫖↰⪸184B⫥∨⫟(⨑⩽⪐⫖↰⪸866)⋷(⨵≀≌(⫖↰⪸1929-⫖↰⪸3605))⪨≂(⫖↰⪸20B2↬⫖↰⪸27A3⫡⨏(⫖↰⪸1A32⨵⪆⫖↰⪸2963))%⫖↰⪸4811⪘⫢⫖↰⪸2127⨎⫖↰⪸10A8+⇶⊼⫖↰⪸146A","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6139,"operation_count":14,"complexity_ratio":438.5,"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":4404,"base":12},"right_expr":{"type":"numeric_atoms","value":2939,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1230,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3057,"base":12},"right_expr":{"type":"numeric_atoms","value":6053,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3590,"base":12},"right_expr":{"type":"numeric_atoms","value":4587,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3206,"base":12},"right_expr":{"type":"numeric_atoms","value":4827,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8077,"base":12},"right_expr":{"type":"numeric_atoms","value":3631,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1856,"base":12},"right_expr":{"type":"numeric_atoms","value":2386,"base":12}}}}},"used_operators":["sdazOOVcIp","23Mk6UjR3U","KYD54nUTWz","3ViojmjbAp","AF7qkfDlqP","srAu1WTS94","rysDP5nf3Z","k8jYdgA6NY","QMFrweE19q","B5M0gjZbta","2DQ55sFlQl","rJVOvQCfKK","oacrs7FA3X","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4404","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=2939, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2942","layer":3},{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-957","layer":3},{"info":"compute binary expreesion, left_input=-2942, right_input=-957, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3057","layer":4},{"info":"number node, value=6053","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=6053, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2996","layer":3},{"info":"compute unary expreesion, input=-2996, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=8976016","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8976016, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3590","layer":4},{"info":"number node, value=4587","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=4587, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3206","layer":4},{"info":"number node, value=4827","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=4827, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=8077","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=8077, right_input=3631, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16030","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=2386, 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=16030, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2670⨓⫖↰⪸184B⫥∨⫟(⨑⩽⪐⫖↰⪸866)⋷(⨵≀≌(⫖↰⪸1929-⫖↰⪸3605))⪨≂(⫖↰⪸20B2↬⫖↰⪸27A3⫡⨏(⫖↰⪸1A32⨵⪆⫖↰⪸2963))%⫖↰⪸4811⪘⫢⫖↰⪸2127⨎⫖↰⪸10A8+⇶⊼⫖↰⪸146A=NaN","reverse_text":"NaN=⫖↰⪸2670⨓⫖↰⪸184B⫥∨⫟(⨑⩽⪐⫖↰⪸866)⋷(⨵≀≌(⫖↰⪸1929-⫖↰⪸3605))⪨≂(⫖↰⪸20B2↬⫖↰⪸27A3⫡⨏(⫖↰⪸1A32⨵⪆⫖↰⪸2963))%⫖↰⪸4811⪘⫢⫖↰⪸2127⨎⫖↰⪸10A8+⇶⊼⫖↰⪸146A","cot":[{"info":"⫖↰⪸2670⨓⫖↰⪸184B=⫖↰⪸-1852","layer":3},{"info":"⨑⩽⪐⫖↰⪸866=⫖↰⪸-679","layer":3},{"info":"⫖↰⪸-1852⫥∨⫟⫖↰⪸-679=NaN","layer":2},{"info":"⫖↰⪸1929-⫖↰⪸3605=⫖↰⪸-1898","layer":3},{"info":"⨵≀≌⫖↰⪸-1898=⫖↰⪸300A554","layer":2},{"info":"NaN⋷⫖↰⪸300A554=NaN","layer":1},{"info":"⫖↰⪸20B2↬⫖↰⪸27A3=NaN","layer":3},{"info":"⫖↰⪸1A32⨵⪆⫖↰⪸2963=⫖↰⪸114","layer":3},{"info":"NaN⫡⨏⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸4811⪘⫢⫖↰⪸2127=⫖↰⪸933A","layer":3},{"info":"⫖↰⪸10A8+⇶⊼⫖↰⪸146A=NaN","layer":3},{"info":"⫖↰⪸933A⨎NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"(($6037$⨳⩥⨓$2553$)⩷∴($1674$⫥∨⫟$2578$)%$1038$↬$2022$⋓$6065$↬$4540$)↬((($3812$%$3216$)⩠)⨵⪆($3237$≧⫂∧$5499$)⪮%⊝($1293$⨓$1299$))","expression":"((⫖↰⪸35B1⨳⩥⨓⫖↰⪸1589)⩷∴(⫖↰⪸B76⫥∨⫟⫖↰⪸15AA)%⫖↰⪸726↬⫖↰⪸1206⋓⫖↰⪸3615↬⫖↰⪸2764)↬(((⫖↰⪸2258%⫖↰⪸1A40)⩠)⨵⪆(⫖↰⪸1A59≧⫂∧⫖↰⪸3223)⪮%⊝(⫖↰⪸8B9⨓⫖↰⪸903))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1514,"operation_count":14,"complexity_ratio":108.14285714285714,"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":6037,"base":12},"right_expr":{"type":"numeric_atoms","value":2553,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1674,"base":12},"right_expr":{"type":"numeric_atoms","value":2578,"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":2022,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6065,"base":12},"right_expr":{"type":"numeric_atoms","value":4540,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3812,"base":12},"right_expr":{"type":"numeric_atoms","value":3216,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3237,"base":12},"right_expr":{"type":"numeric_atoms","value":5499,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1293,"base":12},"right_expr":{"type":"numeric_atoms","value":1299,"base":12}}}}},"used_operators":["B5M0gjZbta","k8jYdgA6NY","9FxExcQeMw","nCS4ZIUYfx","KYD54nUTWz","T2fj7uvVaJ","2DQ55sFlQl","sJAwomhLZr","IWmyXbctLI","Ph9nP6C5qx","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6037","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=6037, right_input=2553, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3484","layer":3},{"info":"number node, value=1674","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=2578, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3484, 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=1038","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=2022, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6065","layer":4},{"info":"number node, value=4540","layer":4},{"info":"compute binary expreesion, left_input=6065, right_input=4540, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3812","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=3216, op_id = k8jYdgA6NY binary_op_definition= 'None', output=596","layer":3},{"info":"compute unary expreesion, input=596, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-2175","layer":2},{"info":"number node, value=3237","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=5499, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5026","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=1299, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1302","layer":3},{"info":"compute binary expreesion, left_input=5026, right_input=-1302, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10368","layer":2},{"info":"compute binary expreesion, left_input=-2175, right_input=10368, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"((⫖↰⪸35B1⨳⩥⨓⫖↰⪸1589)⩷∴(⫖↰⪸B76⫥∨⫟⫖↰⪸15AA)%⫖↰⪸726↬⫖↰⪸1206⋓⫖↰⪸3615↬⫖↰⪸2764)↬(((⫖↰⪸2258%⫖↰⪸1A40)⩠)⨵⪆(⫖↰⪸1A59≧⫂∧⫖↰⪸3223)⪮%⊝(⫖↰⪸8B9⨓⫖↰⪸903))=NaN","reverse_text":"NaN=((⫖↰⪸35B1⨳⩥⨓⫖↰⪸1589)⩷∴(⫖↰⪸B76⫥∨⫟⫖↰⪸15AA)%⫖↰⪸726↬⫖↰⪸1206⋓⫖↰⪸3615↬⫖↰⪸2764)↬(((⫖↰⪸2258%⫖↰⪸1A40)⩠)⨵⪆(⫖↰⪸1A59≧⫂∧⫖↰⪸3223)⪮%⊝(⫖↰⪸8B9⨓⫖↰⪸903))","cot":[{"info":"⫖↰⪸35B1⨳⩥⨓⫖↰⪸1589=⫖↰⪸-2024","layer":3},{"info":"⫖↰⪸B76⫥∨⫟⫖↰⪸15AA=NaN","layer":3},{"info":"⫖↰⪸-2024⩷∴NaN=NaN","layer":2},{"info":"⫖↰⪸726↬⫖↰⪸1206=NaN","layer":3},{"info":"⫖↰⪸3615↬⫖↰⪸2764=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫖↰⪸2258%⫖↰⪸1A40=⫖↰⪸418","layer":3},{"info":"⫖↰⪸418⩠=⫖↰⪸-1313","layer":2},{"info":"⫖↰⪸1A59≧⫂∧⫖↰⪸3223=⫖↰⪸2AAA","layer":3},{"info":"⫖↰⪸8B9⨓⫖↰⪸903=⫖↰⪸-906","layer":3},{"info":"⫖↰⪸2AAA⪮%⊝⫖↰⪸-906=⫖↰⪸6000","layer":2},{"info":"⫖↰⪸-1313⨵⪆⫖↰⪸6000=⫖↰⪸114","layer":1},{"info":"NaN↬⫖↰⪸114=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(($2092$⪛$3372$⊦⊿)⪒$1168$⨓$4996$⨽($1093$%$1816$))↬($5518$⩨$1050$⨸⪁$3214$⪛$1958$⨵⪆(⊙↵-($2134$⪒$1037$)))","expression":"((⫖↰⪸1264⪛⫖↰⪸1B50⊦⊿)⪒⫖↰⪸814⨓⫖↰⪸2A84⨽(⫖↰⪸771%⫖↰⪸1074))↬(⫖↰⪸323A⩨⫖↰⪸736⨸⪁⫖↰⪸1A3A⪛⫖↰⪸1172⨵⪆(⊙↵-(⫖↰⪸129A⪒⫖↰⪸725)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13243,"operation_count":13,"complexity_ratio":1018.6923076923077,"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":2092,"base":12},"right_expr":{"type":"numeric_atoms","value":3372,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1168,"base":12},"right_expr":{"type":"numeric_atoms","value":4996,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1093,"base":12},"right_expr":{"type":"numeric_atoms","value":1816,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5518,"base":12},"right_expr":{"type":"numeric_atoms","value":1050,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3214,"base":12},"right_expr":{"type":"numeric_atoms","value":1958,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2134,"base":12},"right_expr":{"type":"numeric_atoms","value":1037,"base":12}}}}},"used_operators":["B5M0gjZbta","f6k1SAg4EE","14qkJME0vr","uFcxV4UQCh","8HhzD0ZcuI","3ViojmjbAp","k8jYdgA6NY","2DQ55sFlQl","g55IO6H4Gj","2DlMacCsIx","oWn0xqSxBt"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2092","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=3372, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2092","layer":3},{"info":"compute unary expreesion, input=2092, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6355","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=4996, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4999","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1816, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1093","layer":3},{"info":"compute binary expreesion, left_input=-4999, right_input=1093, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-74971968","layer":2},{"info":"compute binary expreesion, left_input=-6355, right_input=-74971968, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=74978323","layer":1},{"info":"number node, value=5518","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=5518, right_input=1050, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3214","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=1958, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1256","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1256, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2512","layer":2},{"info":"number node, value=2134","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=1037, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3171","layer":3},{"info":"compute unary expreesion, input=-3171, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=2512, right_input=196, 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=74978323, 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":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1264⪛⫖↰⪸1B50⊦⊿)⪒⫖↰⪸814⨓⫖↰⪸2A84⨽(⫖↰⪸771%⫖↰⪸1074))↬(⫖↰⪸323A⩨⫖↰⪸736⨸⪁⫖↰⪸1A3A⪛⫖↰⪸1172⨵⪆(⊙↵-(⫖↰⪸129A⪒⫖↰⪸725)))=NaN","reverse_text":"NaN=((⫖↰⪸1264⪛⫖↰⪸1B50⊦⊿)⪒⫖↰⪸814⨓⫖↰⪸2A84⨽(⫖↰⪸771%⫖↰⪸1074))↬(⫖↰⪸323A⩨⫖↰⪸736⨸⪁⫖↰⪸1A3A⪛⫖↰⪸1172⨵⪆(⊙↵-(⫖↰⪸129A⪒⫖↰⪸725)))","cot":[{"info":"⫖↰⪸1264⪛⫖↰⪸1B50=⫖↰⪸1264","layer":3},{"info":"⫖↰⪸1264⊦⊿=⫖↰⪸-3817","layer":2},{"info":"⫖↰⪸814⨓⫖↰⪸2A84=⫖↰⪸-2A87","layer":3},{"info":"⫖↰⪸771%⫖↰⪸1074=⫖↰⪸771","layer":3},{"info":"⫖↰⪸-2A87⨽⫖↰⪸771=⫖↰⪸-21136680","layer":2},{"info":"⫖↰⪸-3817⪒⫖↰⪸-21136680=⫖↰⪸2113A297","layer":1},{"info":"⫖↰⪸323A⩨⫖↰⪸736=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1A3A⪛⫖↰⪸1172=⫖↰⪸888","layer":3},{"info":"⫖↰⪸0⨸⪁⫖↰⪸888=⫖↰⪸1554","layer":2},{"info":"⫖↰⪸129A⪒⫖↰⪸725=⫖↰⪸-1A03","layer":3},{"info":"⊙↵-⫖↰⪸-1A03=⫖↰⪸144","layer":2},{"info":"⫖↰⪸1554⨵⪆⫖↰⪸144=⫖↰⪸114","layer":1},{"info":"⫖↰⪸2113A297↬⫖↰⪸114=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"($3388$≭$2769$)⇷($5743$↛⩡⫤)⋓($3636$⪠⩆⊳)∼($3911$⫩⊇)⋫","expression":"(⫖↰⪸1B64≭⫖↰⪸1729)⇷(⫖↰⪸33A7↛⩡⫤)⋓(⫖↰⪸2130⪠⩆⊳)∼(⫖↰⪸231B⫩⊇)⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17398,"operation_count":8,"complexity_ratio":2174.75,"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":3388,"base":12},"right_expr":{"type":"numeric_atoms","value":2769,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5743,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3636,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3911,"base":12}}}}},"used_operators":["JL8yIekQnl","T2fj7uvVaJ","mp7IySMOzn","rxpJgHHUmx","FU0Cs4j7VP","DyGG3AbaNP","JLbD19bQDL","BjRHVeLaeN"],"dependent_operators":["tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3388","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=2769, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5743","layer":4},{"info":"compute unary expreesion, input=5743, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-863282","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-863282, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3636","layer":4},{"info":"compute unary expreesion, input=3636, 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=3911","layer":4},{"info":"compute unary expreesion, input=3911, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3869","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3869, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B64≭⫖↰⪸1729)⇷(⫖↰⪸33A7↛⩡⫤)⋓(⫖↰⪸2130⪠⩆⊳)∼(⫖↰⪸231B⫩⊇)⋫=NaN","reverse_text":"NaN=(⫖↰⪸1B64≭⫖↰⪸1729)⇷(⫖↰⪸33A7↛⩡⫤)⋓(⫖↰⪸2130⪠⩆⊳)∼(⫖↰⪸231B⫩⊇)⋫","cot":[{"info":"⫖↰⪸1B64≭⫖↰⪸1729=NaN","layer":3},{"info":"⫖↰⪸33A7↛⩡⫤=⫖↰⪸-357702","layer":3},{"info":"NaN⇷⫖↰⪸-357702=NaN","layer":2},{"info":"⫖↰⪸2130⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸231B⫩⊇=⫖↰⪸-22A5","layer":3},{"info":"⫖↰⪸0∼⫖↰⪸-22A5=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"↯⪼((($1301$∸)+⇶⊼($1030$⋥≓≎$1202$))∼($1545$⪛$3958$⨽$3689$⫥∨⫟$2228$))","expression":"↯⪼(((⫖↰⪸905∸)+⇶⊼(⫖↰⪸71A⋥≓≎⫖↰⪸842))∼(⫖↰⪸A89⪛⫖↰⪸235A⨽⫖↰⪸2175⫥∨⫟⫖↰⪸1358))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1928,"operation_count":8,"complexity_ratio":241.0,"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":1301,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":1202,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1545,"base":12},"right_expr":{"type":"numeric_atoms","value":3958,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3689,"base":12},"right_expr":{"type":"numeric_atoms","value":2228,"base":12}}}}},"used_operators":["8jW3W4yZS5","DyGG3AbaNP","TpPTUOHfaN","o20kRiQErp","Qy55tPpLXF","8HhzD0ZcuI","uFcxV4UQCh","KYD54nUTWz"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1202, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1407","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1407, 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=1545","layer":4},{"info":"number node, value=3958","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=3958, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1545","layer":3},{"info":"number node, value=3689","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=2228, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1545, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(((⫖↰⪸905∸)+⇶⊼(⫖↰⪸71A⋥≓≎⫖↰⪸842))∼(⫖↰⪸A89⪛⫖↰⪸235A⨽⫖↰⪸2175⫥∨⫟⫖↰⪸1358))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(((⫖↰⪸905∸)+⇶⊼(⫖↰⪸71A⋥≓≎⫖↰⪸842))∼(⫖↰⪸A89⪛⫖↰⪸235A⨽⫖↰⪸2175⫥∨⫟⫖↰⪸1358))","cot":[{"info":"⫖↰⪸905∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸71A⋥≓≎⫖↰⪸842=⫖↰⪸993","layer":3},{"info":"⫖↰⪸129+⇶⊼⫖↰⪸993=NaN","layer":2},{"info":"⫖↰⪸A89⪛⫖↰⪸235A=⫖↰⪸A89","layer":3},{"info":"⫖↰⪸2175⫥∨⫟⫖↰⪸1358=NaN","layer":3},{"info":"⫖↰⪸A89⨽NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"↯⪼NaN=⫖↰⪸-19","layer":0}]}
{"id":187,"expression_no_base_symbol":"-(≉$2321$⪮%⊝$2968$)⨎(⪲⇎$1928$)⨰($3798$⇼⇔∾$4751$)","expression":"-(≉⫖↰⪸1415⪮%⊝⫖↰⪸1874)⨎(⪲⇎⫖↰⪸1148)⨰(⫖↰⪸2246⇼⇔∾⫖↰⪸28BB)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23,"operation_count":7,"complexity_ratio":3.2857142857142856,"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":2321,"base":12},"right_expr":{"type":"numeric_atoms","value":2968,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1928,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3798,"base":12},"right_expr":{"type":"numeric_atoms","value":4751,"base":12}}}}},"used_operators":["t8gj7n24qd","rJVOvQCfKK","e1ybzncUwg","IWmyXbctLI","eewbuw0ToL","XPYlsWDdGa","tifHPKVTfV"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1829","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2321","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=2968, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4958","layer":3},{"info":"compute unary expreesion, input=4958, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5489","layer":2},{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3856","layer":3},{"info":"number node, value=3798","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=4751, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=953","layer":3},{"info":"compute binary expreesion, left_input=3856, right_input=953, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2913","layer":2},{"info":"compute binary expreesion, left_input=5489, right_input=2913, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2913","layer":1},{"info":"compute unary expreesion, input=2913, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2913","layer":0}],"base":12,"result_base":12,"text":"-(≉⫖↰⪸1415⪮%⊝⫖↰⪸1874)⨎(⪲⇎⫖↰⪸1148)⨰(⫖↰⪸2246⇼⇔∾⫖↰⪸28BB)=⫖↰⪸-1829","reverse_text":"⫖↰⪸-1829=-(≉⫖↰⪸1415⪮%⊝⫖↰⪸1874)⨎(⪲⇎⫖↰⪸1148)⨰(⫖↰⪸2246⇼⇔∾⫖↰⪸28BB)","cot":[{"info":"⫖↰⪸1415⪮%⊝⫖↰⪸1874=⫖↰⪸2A52","layer":3},{"info":"≉⫖↰⪸2A52=⫖↰⪸3215","layer":2},{"info":"⪲⇎⫖↰⪸1148=⫖↰⪸2294","layer":3},{"info":"⫖↰⪸2246⇼⇔∾⫖↰⪸28BB=⫖↰⪸675","layer":3},{"info":"⫖↰⪸2294⨰⫖↰⪸675=⫖↰⪸1829","layer":2},{"info":"⫖↰⪸3215⨎⫖↰⪸1829=⫖↰⪸1829","layer":1},{"info":"-⫖↰⪸1829=⫖↰⪸-1829","layer":0}]}
{"id":188,"expression_no_base_symbol":"((⫓⪴($4212$⫌⩹⨱))∸)⫩⊇","expression":"((⫓⪴(⫖↰⪸2530⫌⩹⨱))∸)⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10011,"operation_count":4,"complexity_ratio":2502.75,"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":4212,"base":12}}}}},"used_operators":["BjRHVeLaeN","o20kRiQErp","eLxqMNBOBk","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-B3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4212","layer":4},{"info":"compute unary expreesion, input=4212, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9825","layer":3},{"info":"compute unary expreesion, input=9825, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=96530625","layer":2},{"info":"compute unary expreesion, input=96530625, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-135","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴(⫖↰⪸2530⫌⩹⨱))∸)⫩⊇=⫖↰⪸-B3","reverse_text":"⫖↰⪸-B3=((⫓⪴(⫖↰⪸2530⫌⩹⨱))∸)⫩⊇","cot":[{"info":"⫖↰⪸2530⫌⩹⨱=⫖↰⪸5829","layer":3},{"info":"⫓⪴⫖↰⪸5829=⫖↰⪸283B2769","layer":2},{"info":"⫖↰⪸283B2769∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸129⫩⊇=⫖↰⪸-B3","layer":0}]}
{"id":189,"expression_no_base_symbol":"⫓⪴(⨰⫟⨤($2451$+$4970$)∀⇚≩(⇁⨣⪵$2926$))","expression":"⫓⪴(⨰⫟⨤(⫖↰⪸1503+⫖↰⪸2A62)∀⇚≩(⇁⨣⪵⫖↰⪸183A))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51979,"operation_count":5,"complexity_ratio":10395.8,"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":2451,"base":12},"right_expr":{"type":"numeric_atoms","value":4970,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2926,"base":12}}}}},"used_operators":["eLxqMNBOBk","Tw270M8GLb","LRNGc0VcxI","W4YGzv6Whe","inkyxCbjAn"],"dependent_operators":["9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2451","layer":4},{"info":"number node, value=4970","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=4970, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7421","layer":3},{"info":"number node, value=2926","layer":4},{"info":"compute unary expreesion, input=2926, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7421, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⨰⫟⨤(⫖↰⪸1503+⫖↰⪸2A62)∀⇚≩(⇁⨣⪵⫖↰⪸183A))=NaN","reverse_text":"NaN=⫓⪴(⨰⫟⨤(⫖↰⪸1503+⫖↰⪸2A62)∀⇚≩(⇁⨣⪵⫖↰⪸183A))","cot":[{"info":"⫖↰⪸1503+⫖↰⪸2A62=⫖↰⪸4365","layer":3},{"info":"⇁⨣⪵⫖↰⪸183A=NaN","layer":3},{"info":"⫖↰⪸4365∀⇚≩NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"((↩$5879$⩚⊴⇥$1082$)-($3234$⋳⪒$5553$)⨰($6029$⋷$1285$))∲⫓(≦∁$4038$)⪢$6948$⪮%⊝$1061$⊉≛↸(⫛⫱⨽$5286$)↺(⪝⪂⫅$2602$)","expression":"((↩⫖↰⪸349B⩚⊴⇥⫖↰⪸762)-(⫖↰⪸1A56⋳⪒⫖↰⪸3269)⨰(⫖↰⪸35A5⋷⫖↰⪸8B1))∲⫓(≦∁⫖↰⪸2406)⪢⫖↰⪸4030⪮%⊝⫖↰⪸745⊉≛↸(⫛⫱⨽⫖↰⪸3086)↺(⪝⪂⫅⫖↰⪸160A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15840,"operation_count":14,"complexity_ratio":1131.4285714285713,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5879,"base":12},"right_expr":{"type":"numeric_atoms","value":1082,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3234,"base":12},"right_expr":{"type":"numeric_atoms","value":5553,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6029,"base":12},"right_expr":{"type":"numeric_atoms","value":1285,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4038,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6948,"base":12},"right_expr":{"type":"numeric_atoms","value":1061,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5286,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2602,"base":12}}}}},"used_operators":["i8ToyICDmI","rysDP5nf3Z","jLgFTUHLKL","NTOWxs364D","eewbuw0ToL","12rbrZMWeM","23Mk6UjR3U","DZ8iAZOCBD","dWAJyo7jo9","9ICcGScMcE","IWmyXbctLI","7j4O788W3g","DlLNRPXxWL","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5879","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=1082, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7082","layer":3},{"info":"compute unary expreesion, input=-7082, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=30948","layer":2},{"info":"number node, value=3234","layer":4},{"info":"number node, value=5553","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=5553, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=628","layer":3},{"info":"number node, value=6029","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=6029, right_input=1285, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3459","layer":3},{"info":"compute binary expreesion, left_input=628, right_input=-3459, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4097","layer":2},{"info":"compute binary expreesion, left_input=30948, right_input=4097, op_id = rysDP5nf3Z binary_op_definition= 'None', output=26851","layer":1},{"info":"number node, value=4038","layer":4},{"info":"compute unary expreesion, input=4038, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4038","layer":3},{"info":"number node, value=6948","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=6948, right_input=1061, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14212","layer":3},{"info":"compute binary expreesion, left_input=4038, right_input=14212, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=5286","layer":4},{"info":"compute unary expreesion, input=5286, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2602","layer":4},{"info":"compute unary expreesion, input=2602, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-382494","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-382494, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-382494","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-382494, 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=26851, 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":"((↩⫖↰⪸349B⩚⊴⇥⫖↰⪸762)-(⫖↰⪸1A56⋳⪒⫖↰⪸3269)⨰(⫖↰⪸35A5⋷⫖↰⪸8B1))∲⫓(≦∁⫖↰⪸2406)⪢⫖↰⪸4030⪮%⊝⫖↰⪸745⊉≛↸(⫛⫱⨽⫖↰⪸3086)↺(⪝⪂⫅⫖↰⪸160A)=NaN","reverse_text":"NaN=((↩⫖↰⪸349B⩚⊴⇥⫖↰⪸762)-(⫖↰⪸1A56⋳⪒⫖↰⪸3269)⨰(⫖↰⪸35A5⋷⫖↰⪸8B1))∲⫓(≦∁⫖↰⪸2406)⪢⫖↰⪸4030⪮%⊝⫖↰⪸745⊉≛↸(⫛⫱⨽⫖↰⪸3086)↺(⪝⪂⫅⫖↰⪸160A)","cot":[{"info":"⫖↰⪸349B⩚⊴⇥⫖↰⪸762=⫖↰⪸-4122","layer":3},{"info":"↩⫖↰⪸-4122=⫖↰⪸15AB0","layer":2},{"info":"⫖↰⪸1A56⋳⪒⫖↰⪸3269=⫖↰⪸444","layer":3},{"info":"⫖↰⪸35A5⋷⫖↰⪸8B1=⫖↰⪸-2003","layer":3},{"info":"⫖↰⪸444⨰⫖↰⪸-2003=⫖↰⪸2455","layer":2},{"info":"⫖↰⪸15AB0-⫖↰⪸2455=⫖↰⪸13657","layer":1},{"info":"≦∁⫖↰⪸2406=⫖↰⪸2406","layer":3},{"info":"⫖↰⪸4030⪮%⊝⫖↰⪸745=⫖↰⪸8284","layer":3},{"info":"⫖↰⪸2406⪢⫖↰⪸8284=NaN","layer":2},{"info":"⫛⫱⨽⫖↰⪸3086=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸160A=⫖↰⪸-165426","layer":3},{"info":"⫖↰⪸0↺⫖↰⪸-165426=⫖↰⪸-165426","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-165426=NaN","layer":1},{"info":"⫖↰⪸13657∲⫓NaN=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"↯⪼(($1755$∧)∀⇚≩$7459$⪛$2205$∑⇟⊟(⨵≀≌$3858$)⊴($3166$⩚⊴⇥$2617$))","expression":"↯⪼((⫖↰⪸1023∧)∀⇚≩⫖↰⪸4397⪛⫖↰⪸1339∑⇟⊟(⨵≀≌⫖↰⪸2296)⊴(⫖↰⪸19BA⩚⊴⇥⫖↰⪸1621))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7184,"operation_count":8,"complexity_ratio":898.0,"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":1755,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7459,"base":12},"right_expr":{"type":"numeric_atoms","value":2205,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3858,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3166,"base":12},"right_expr":{"type":"numeric_atoms","value":2617,"base":12}}}}},"used_operators":["8jW3W4yZS5","U7g4x0WXJJ","LRNGc0VcxI","z63VuFQld9","uFcxV4UQCh","Nsiff2A1zJ","srAu1WTS94","NTOWxs364D"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":4},{"info":"compute unary expreesion, input=1755, 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=7459","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=7459, right_input=2205, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=844","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=844, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3858","layer":4},{"info":"compute unary expreesion, input=3858, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11574","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=2617, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5904","layer":3},{"info":"compute binary expreesion, left_input=-11574, right_input=-5904, 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 = 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼((⫖↰⪸1023∧)∀⇚≩⫖↰⪸4397⪛⫖↰⪸1339∑⇟⊟(⨵≀≌⫖↰⪸2296)⊴(⫖↰⪸19BA⩚⊴⇥⫖↰⪸1621))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼((⫖↰⪸1023∧)∀⇚≩⫖↰⪸4397⪛⫖↰⪸1339∑⇟⊟(⨵≀≌⫖↰⪸2296)⊴(⫖↰⪸19BA⩚⊴⇥⫖↰⪸1621))","cot":[{"info":"⫖↰⪸1023∧=NaN","layer":3},{"info":"⫖↰⪸4397⪛⫖↰⪸1339=⫖↰⪸5A4","layer":3},{"info":"NaN∀⇚≩⫖↰⪸5A4=NaN","layer":2},{"info":"⨵≀≌⫖↰⪸2296=⫖↰⪸-6846","layer":3},{"info":"⫖↰⪸19BA⩚⊴⇥⫖↰⪸1621=⫖↰⪸-3500","layer":3},{"info":"⫖↰⪸-6846⊴⫖↰⪸-3500=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"↯⪼NaN=⫖↰⪸-19","layer":0}]}
{"id":192,"expression_no_base_symbol":"⨵≀≌($4851$⊴$2649$↙(≉$1865$)⪐)","expression":"⨵≀≌(⫖↰⪸2983⊴⫖↰⪸1649↙(≉⫖↰⪸10B5)⪐)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2791,"operation_count":5,"complexity_ratio":558.2,"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":4851,"base":12},"right_expr":{"type":"numeric_atoms","value":2649,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1865,"base":12}}}}},"used_operators":["srAu1WTS94","eH2TOUuTDT","yyfyN0ffXY","Nsiff2A1zJ","e1ybzncUwg"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4851","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=4851, right_input=2649, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2396","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2396, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸2983⊴⫖↰⪸1649↙(≉⫖↰⪸10B5)⪐)=NaN","reverse_text":"NaN=⨵≀≌(⫖↰⪸2983⊴⫖↰⪸1649↙(≉⫖↰⪸10B5)⪐)","cot":[{"info":"⫖↰⪸2983⊴⫖↰⪸1649=NaN","layer":3},{"info":"≉⫖↰⪸10B5=⫖↰⪸1478","layer":3},{"info":"NaN↙⫖↰⪸1478=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"($4647$%$1540$)⨓$1062$⪢$1780$⨳⩥⨓($5197$*$1840$≋⫹)*(⫛⫱⨽(($5024$*$1097$)∼($1001$⪛$1816$)))","expression":"(⫖↰⪸2833%⫖↰⪸A84)⨓⫖↰⪸746⪢⫖↰⪸1044⨳⩥⨓(⫖↰⪸3011*⫖↰⪸1094≋⫹)*(⫛⫱⨽((⫖↰⪸2AA8*⫖↰⪸775)∼(⫖↰⪸6B5⪛⫖↰⪸1074)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":113717,"operation_count":11,"complexity_ratio":10337.90909090909,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4647,"base":12},"right_expr":{"type":"numeric_atoms","value":1540,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1062,"base":12},"right_expr":{"type":"numeric_atoms","value":1780,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5197,"base":12},"right_expr":{"type":"numeric_atoms","value":1840,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5024,"base":12},"right_expr":{"type":"numeric_atoms","value":1097,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":1816,"base":12}}}}},"used_operators":["9HNa5Wba9A","nCS4ZIUYfx","3ViojmjbAp","k8jYdgA6NY","dWAJyo7jo9","N41Kp7NANJ","DlLNRPXxWL","DyGG3AbaNP","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4647","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=1540, op_id = k8jYdgA6NY binary_op_definition= 'None', output=27","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1780, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=27, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=5197","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=5197, right_input=1840, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9562480","layer":3},{"info":"compute unary expreesion, input=9562480, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-19124960","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19124960, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=5024","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=5024, right_input=1097, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5511328","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1816, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1001","layer":3},{"info":"compute binary expreesion, left_input=5511328, right_input=1001, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2833%⫖↰⪸A84)⨓⫖↰⪸746⪢⫖↰⪸1044⨳⩥⨓(⫖↰⪸3011*⫖↰⪸1094≋⫹)*(⫛⫱⨽((⫖↰⪸2AA8*⫖↰⪸775)∼(⫖↰⪸6B5⪛⫖↰⪸1074)))=NaN","reverse_text":"NaN=(⫖↰⪸2833%⫖↰⪸A84)⨓⫖↰⪸746⪢⫖↰⪸1044⨳⩥⨓(⫖↰⪸3011*⫖↰⪸1094≋⫹)*(⫛⫱⨽((⫖↰⪸2AA8*⫖↰⪸775)∼(⫖↰⪸6B5⪛⫖↰⪸1074)))","cot":[{"info":"⫖↰⪸2833%⫖↰⪸A84=⫖↰⪸23","layer":3},{"info":"⫖↰⪸746⪢⫖↰⪸1044=NaN","layer":3},{"info":"⫖↰⪸23⨓NaN=NaN","layer":2},{"info":"⫖↰⪸3011*⫖↰⪸1094=⫖↰⪸3251A14","layer":3},{"info":"⫖↰⪸3251A14≋⫹=⫖↰⪸-64A3828","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-64A3828=NaN","layer":1},{"info":"⫖↰⪸2AA8*⫖↰⪸775=⫖↰⪸1A19514","layer":3},{"info":"⫖↰⪸6B5⪛⫖↰⪸1074=⫖↰⪸6B5","layer":3},{"info":"⫖↰⪸1A19514∼⫖↰⪸6B5=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"(($1920$⋷$1792$)⨳⩥⨓($4672$/$6403$))⇷($5836$≧⫂∧$1339$⨸⪁(≦∁$1339$))↛⩡⫤","expression":"((⫖↰⪸1140⋷⫖↰⪸1054)⨳⩥⨓(⫖↰⪸2854/⫖↰⪸3857))⇷(⫖↰⪸3464≧⫂∧⫖↰⪸937⨸⪁(≦∁⫖↰⪸937))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49908,"operation_count":8,"complexity_ratio":6238.5,"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":1920,"base":12},"right_expr":{"type":"numeric_atoms","value":1792,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4672,"base":12},"right_expr":{"type":"numeric_atoms","value":6403,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5836,"base":12},"right_expr":{"type":"numeric_atoms","value":1339,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1339,"base":12}}}}},"used_operators":["FU0Cs4j7VP","mp7IySMOzn","nCS4ZIUYfx","23Mk6UjR3U","XhwjNDsVaA","g55IO6H4Gj","Ph9nP6C5qx","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-540571","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1792, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1664","layer":3},{"info":"number node, value=4672","layer":4},{"info":"number node, value=6403","layer":4},{"info":"compute binary expreesion, left_input=4672, right_input=6403, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1664, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1664","layer":2},{"info":"number node, value=5836","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=1339, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=866","layer":3},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1339","layer":3},{"info":"compute binary expreesion, left_input=866, right_input=1339, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4410","layer":2},{"info":"compute binary expreesion, left_input=-1664, right_input=4410, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8820","layer":1},{"info":"compute unary expreesion, input=8820, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1327909","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1140⋷⫖↰⪸1054)⨳⩥⨓(⫖↰⪸2854/⫖↰⪸3857))⇷(⫖↰⪸3464≧⫂∧⫖↰⪸937⨸⪁(≦∁⫖↰⪸937))↛⩡⫤=⫖↰⪸-540571","reverse_text":"⫖↰⪸-540571=((⫖↰⪸1140⋷⫖↰⪸1054)⨳⩥⨓(⫖↰⪸2854/⫖↰⪸3857))⇷(⫖↰⪸3464≧⫂∧⫖↰⪸937⨸⪁(≦∁⫖↰⪸937))↛⩡⫤","cot":[{"info":"⫖↰⪸1140⋷⫖↰⪸1054=⫖↰⪸B68","layer":3},{"info":"⫖↰⪸2854/⫖↰⪸3857=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B68⨳⩥⨓⫖↰⪸0=⫖↰⪸-B68","layer":2},{"info":"⫖↰⪸3464≧⫂∧⫖↰⪸937=⫖↰⪸602","layer":3},{"info":"≦∁⫖↰⪸937=⫖↰⪸937","layer":3},{"info":"⫖↰⪸602⨸⪁⫖↰⪸937=⫖↰⪸2676","layer":2},{"info":"⫖↰⪸-B68⇷⫖↰⪸2676=⫖↰⪸5130","layer":1},{"info":"⫖↰⪸5130↛⩡⫤=⫖↰⪸-540571","layer":0}]}
{"id":195,"expression_no_base_symbol":"(($5767$⪨≂$2765$)⊴($1308$∑⇟⊟$1080$)⨵⪆($1429$↙$8010$)↬($2254$∧))⫩⊇","expression":"((⫖↰⪸3407⪨≂⫖↰⪸1725)⊴(⫖↰⪸910∑⇟⊟⫖↰⪸760)⨵⪆(⫖↰⪸9B1↙⫖↰⪸4776)↬(⫖↰⪸137A∧))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8036,"operation_count":8,"complexity_ratio":1004.5,"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":5767,"base":12},"right_expr":{"type":"numeric_atoms","value":2765,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1308,"base":12},"right_expr":{"type":"numeric_atoms","value":1080,"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":8010,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2254,"base":12}}}}},"used_operators":["BjRHVeLaeN","2DQ55sFlQl","Nsiff2A1zJ","sdazOOVcIp","U7g4x0WXJJ","B5M0gjZbta","yyfyN0ffXY","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫖↰⪸-9A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5767","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=5767, right_input=2765, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6106","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=1080, 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=6106, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1429","layer":4},{"info":"number node, value=8010","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=8010, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-24030","layer":3},{"info":"number node, value=2254","layer":4},{"info":"compute unary expreesion, input=2254, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-24030, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3407⪨≂⫖↰⪸1725)⊴(⫖↰⪸910∑⇟⊟⫖↰⪸760)⨵⪆(⫖↰⪸9B1↙⫖↰⪸4776)↬(⫖↰⪸137A∧))⫩⊇=⫖↰⪸-9A","reverse_text":"⫖↰⪸-9A=((⫖↰⪸3407⪨≂⫖↰⪸1725)⊴(⫖↰⪸910∑⇟⊟⫖↰⪸760)⨵⪆(⫖↰⪸9B1↙⫖↰⪸4776)↬(⫖↰⪸137A∧))⫩⊇","cot":[{"info":"⫖↰⪸3407⪨≂⫖↰⪸1725=⫖↰⪸364A","layer":3},{"info":"⫖↰⪸910∑⇟⊟⫖↰⪸760=NaN","layer":3},{"info":"⫖↰⪸364A⊴NaN=NaN","layer":2},{"info":"⫖↰⪸9B1↙⫖↰⪸4776=⫖↰⪸-11AA6","layer":3},{"info":"⫖↰⪸137A∧=NaN","layer":3},{"info":"⫖↰⪸-11AA6↬NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114⫩⊇=⫖↰⪸-9A","layer":0}]}
{"id":196,"expression_no_base_symbol":"↣≠⋷(($2669$⨐⩸⫘$1750$-$1078$⫸⊐$2885$)⨸⪁($8815$⨐⩸⫘$5158$)⪛($1125$+$2959$))","expression":"↣≠⋷((⫖↰⪸1665⨐⩸⫘⫖↰⪸101A-⫖↰⪸75A⫸⊐⫖↰⪸1805)⨸⪁(⫖↰⪸5127⨐⩸⫘⫖↰⪸2B9A)⪛(⫖↰⪸799+⫖↰⪸1867))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38,"operation_count":8,"complexity_ratio":4.75,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2669,"base":12},"right_expr":{"type":"numeric_atoms","value":1750,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1078,"base":12},"right_expr":{"type":"numeric_atoms","value":2885,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8815,"base":12},"right_expr":{"type":"numeric_atoms","value":5158,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1125,"base":12},"right_expr":{"type":"numeric_atoms","value":2959,"base":12}}}}},"used_operators":["Asc51vEJeQ","g55IO6H4Gj","rysDP5nf3Z","fu6greOZ01","mqXw5SEYmG","uFcxV4UQCh","W4YGzv6Whe"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2669","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=1750, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1078","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=2885, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11415","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11415, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=8815","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=8815, right_input=5158, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1125","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=2959, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4084","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4084, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((⫖↰⪸1665⨐⩸⫘⫖↰⪸101A-⫖↰⪸75A⫸⊐⫖↰⪸1805)⨸⪁(⫖↰⪸5127⨐⩸⫘⫖↰⪸2B9A)⪛(⫖↰⪸799+⫖↰⪸1867))=NaN","reverse_text":"NaN=↣≠⋷((⫖↰⪸1665⨐⩸⫘⫖↰⪸101A-⫖↰⪸75A⫸⊐⫖↰⪸1805)⨸⪁(⫖↰⪸5127⨐⩸⫘⫖↰⪸2B9A)⪛(⫖↰⪸799+⫖↰⪸1867))","cot":[{"info":"⫖↰⪸1665⨐⩸⫘⫖↰⪸101A=NaN","layer":3},{"info":"⫖↰⪸75A⫸⊐⫖↰⪸1805=⫖↰⪸6733","layer":3},{"info":"NaN-⫖↰⪸6733=NaN","layer":2},{"info":"⫖↰⪸5127⨐⩸⫘⫖↰⪸2B9A=NaN","layer":3},{"info":"⫖↰⪸799+⫖↰⪸1867=⫖↰⪸2444","layer":3},{"info":"NaN⪛⫖↰⪸2444=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"(⊙↵-($2444$⪨≂$5803$)≹⇙⪍(↽≂$1038$))⨐⩸⫘(((⇁⨣⪵$6362$)⊭↱(⨵≀≌$8232$))↺($3180$-$2659$)≭($1696$+⇶⊼$3418$))","expression":"(⊙↵-(⫖↰⪸14B8⪨≂⫖↰⪸3437)≹⇙⪍(↽≂⫖↰⪸726))⨐⩸⫘(((⇁⨣⪵⫖↰⪸3822)⊭↱(⨵≀≌⫖↰⪸4920))↺(⫖↰⪸1A10-⫖↰⪸1657)≭(⫖↰⪸B94+⇶⊼⫖↰⪸1B8A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":52,"operation_count":12,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2444,"base":12},"right_expr":{"type":"numeric_atoms","value":5803,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1038,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6362,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8232,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3180,"base":12},"right_expr":{"type":"numeric_atoms","value":2659,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1696,"base":12},"right_expr":{"type":"numeric_atoms","value":3418,"base":12}}}}},"used_operators":["fu6greOZ01","oWn0xqSxBt","AHs5Up7iyr","sdazOOVcIp","u6S6b8DprG","7j4O788W3g","COABgblf1C","inkyxCbjAn","srAu1WTS94","rxpJgHHUmx","rysDP5nf3Z","TpPTUOHfaN"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2444","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=5803, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6616","layer":3},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2076","layer":3},{"info":"compute binary expreesion, left_input=-6616, right_input=-2076, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=6362","layer":4},{"info":"compute unary expreesion, input=6362, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=8232","layer":4},{"info":"compute unary expreesion, input=8232, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-24696","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24696, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3180","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=2659, op_id = rysDP5nf3Z binary_op_definition= 'None', output=521","layer":3},{"info":"number node, value=1696","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=3418, 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=521, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"(⊙↵-(⫖↰⪸14B8⪨≂⫖↰⪸3437)≹⇙⪍(↽≂⫖↰⪸726))⨐⩸⫘(((⇁⨣⪵⫖↰⪸3822)⊭↱(⨵≀≌⫖↰⪸4920))↺(⫖↰⪸1A10-⫖↰⪸1657)≭(⫖↰⪸B94+⇶⊼⫖↰⪸1B8A))=NaN","reverse_text":"NaN=(⊙↵-(⫖↰⪸14B8⪨≂⫖↰⪸3437)≹⇙⪍(↽≂⫖↰⪸726))⨐⩸⫘(((⇁⨣⪵⫖↰⪸3822)⊭↱(⨵≀≌⫖↰⪸4920))↺(⫖↰⪸1A10-⫖↰⪸1657)≭(⫖↰⪸B94+⇶⊼⫖↰⪸1B8A))","cot":[{"info":"⫖↰⪸14B8⪨≂⫖↰⪸3437=⫖↰⪸-39B4","layer":3},{"info":"↽≂⫖↰⪸726=⫖↰⪸-1250","layer":3},{"info":"⫖↰⪸-39B4≹⇙⪍⫖↰⪸-1250=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸3822=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸4920=⫖↰⪸-12360","layer":3},{"info":"NaN⊭↱⫖↰⪸-12360=NaN","layer":2},{"info":"⫖↰⪸1A10-⫖↰⪸1657=⫖↰⪸375","layer":3},{"info":"⫖↰⪸B94+⇶⊼⫖↰⪸1B8A=NaN","layer":3},{"info":"⫖↰⪸375≭NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"($2112$⇷$2232$⊉≛↸($4453$⫡⨏$6035$))∑⇟⊟($3644$≎⊠⪸$2669$⊉≛↸($4577$⪠⩆⊳))↙(⪲⇎$3937$)⪮%⊝($1561$⨓$4440$)⨰(($2911$⨽$3182$)≧⫂∧$1513$∀⇚≩$5096$)","expression":"(⫖↰⪸1280⇷⫖↰⪸1360⊉≛↸(⫖↰⪸26B1⫡⨏⫖↰⪸35AB))∑⇟⊟(⫖↰⪸2138≎⊠⪸⫖↰⪸1665⊉≛↸(⫖↰⪸2795⪠⩆⊳))↙(⪲⇎⫖↰⪸2341)⪮%⊝(⫖↰⪸AA1⨓⫖↰⪸26A0)⨰((⫖↰⪸1827⨽⫖↰⪸1A12)≧⫂∧⫖↰⪸A61∀⇚≩⫖↰⪸2B48)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":47838,"operation_count":15,"complexity_ratio":3189.2,"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":2112,"base":12},"right_expr":{"type":"numeric_atoms","value":2232,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4453,"base":12},"right_expr":{"type":"numeric_atoms","value":6035,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3644,"base":12},"right_expr":{"type":"numeric_atoms","value":2669,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4577,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3937,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1561,"base":12},"right_expr":{"type":"numeric_atoms","value":4440,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2911,"base":12},"right_expr":{"type":"numeric_atoms","value":3182,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1513,"base":12},"right_expr":{"type":"numeric_atoms","value":5096,"base":12}}}}},"used_operators":["yyfyN0ffXY","U7g4x0WXJJ","DZ8iAZOCBD","mp7IySMOzn","QMFrweE19q","bJkvcejdHO","JLbD19bQDL","eewbuw0ToL","IWmyXbctLI","XPYlsWDdGa","3ViojmjbAp","Ph9nP6C5qx","8HhzD0ZcuI","LRNGc0VcxI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2112","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=2232, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4464","layer":3},{"info":"number node, value=4453","layer":4},{"info":"number node, value=6035","layer":4},{"info":"compute binary expreesion, left_input=4453, right_input=6035, 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=35118","layer":3},{"info":"compute binary expreesion, left_input=4464, right_input=35118, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8928","layer":2},{"info":"number node, value=3644","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=3644, right_input=2669, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=943323","layer":3},{"info":"number node, value=4577","layer":4},{"info":"compute unary expreesion, input=4577, 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=943323, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1886646","layer":2},{"info":"compute binary expreesion, left_input=8928, right_input=1886646, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3937","layer":4},{"info":"compute unary expreesion, input=3937, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7874","layer":3},{"info":"number node, value=1561","layer":4},{"info":"number node, value=4440","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=4440, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4443","layer":3},{"info":"compute binary expreesion, left_input=7874, right_input=-4443, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16064","layer":2},{"info":"number node, value=2911","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=3182, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25429995","layer":3},{"info":"number node, value=1513","layer":4},{"info":"number node, value=5096","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=5096, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-25429995, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16064, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1280⇷⫖↰⪸1360⊉≛↸(⫖↰⪸26B1⫡⨏⫖↰⪸35AB))∑⇟⊟(⫖↰⪸2138≎⊠⪸⫖↰⪸1665⊉≛↸(⫖↰⪸2795⪠⩆⊳))↙(⪲⇎⫖↰⪸2341)⪮%⊝(⫖↰⪸AA1⨓⫖↰⪸26A0)⨰((⫖↰⪸1827⨽⫖↰⪸1A12)≧⫂∧⫖↰⪸A61∀⇚≩⫖↰⪸2B48)=NaN","reverse_text":"NaN=(⫖↰⪸1280⇷⫖↰⪸1360⊉≛↸(⫖↰⪸26B1⫡⨏⫖↰⪸35AB))∑⇟⊟(⫖↰⪸2138≎⊠⪸⫖↰⪸1665⊉≛↸(⫖↰⪸2795⪠⩆⊳))↙(⪲⇎⫖↰⪸2341)⪮%⊝(⫖↰⪸AA1⨓⫖↰⪸26A0)⨰((⫖↰⪸1827⨽⫖↰⪸1A12)≧⫂∧⫖↰⪸A61∀⇚≩⫖↰⪸2B48)","cot":[{"info":"⫖↰⪸1280⇷⫖↰⪸1360=⫖↰⪸2700","layer":3},{"info":"⫖↰⪸26B1⫡⨏⫖↰⪸35AB=⫖↰⪸183A6","layer":3},{"info":"⫖↰⪸2700⊉≛↸⫖↰⪸183A6=⫖↰⪸5200","layer":2},{"info":"⫖↰⪸2138≎⊠⪸⫖↰⪸1665=⫖↰⪸395AA3","layer":3},{"info":"⫖↰⪸2795⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸395AA3⊉≛↸⫖↰⪸0=⫖↰⪸76B986","layer":2},{"info":"⫖↰⪸5200∑⇟⊟⫖↰⪸76B986=NaN","layer":1},{"info":"⪲⇎⫖↰⪸2341=⫖↰⪸4682","layer":3},{"info":"⫖↰⪸AA1⨓⫖↰⪸26A0=⫖↰⪸-26A3","layer":3},{"info":"⫖↰⪸4682⪮%⊝⫖↰⪸-26A3=⫖↰⪸9368","layer":2},{"info":"⫖↰⪸1827⨽⫖↰⪸1A12=⫖↰⪸-8624523","layer":3},{"info":"⫖↰⪸A61∀⇚≩⫖↰⪸2B48=NaN","layer":3},{"info":"⫖↰⪸-8624523≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸9368⨰NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"($2844$∼$1129$≫≃)*(($6434$⫡⨏$6559$)⪠⩆⊳)⩨($3712$⫥∨⫟$7219$)⨰($2218$⋷$7223$)⩷∴(⊄⩳↩$1219$↬$2362$)","expression":"(⫖↰⪸1790∼⫖↰⪸7A1≫≃)*((⫖↰⪸3882⫡⨏⫖↰⪸3967)⪠⩆⊳)⩨(⫖↰⪸2194⫥∨⫟⫖↰⪸4217)⨰(⫖↰⪸134A⋷⫖↰⪸421B)⩷∴(⊄⩳↩⫖↰⪸857↬⫖↰⪸144A)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":255,"operation_count":12,"complexity_ratio":21.25,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2844,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6434,"base":12},"right_expr":{"type":"numeric_atoms","value":6559,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3712,"base":12},"right_expr":{"type":"numeric_atoms","value":7219,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2218,"base":12},"right_expr":{"type":"numeric_atoms","value":7223,"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":2362,"base":12}}}}},"used_operators":["2DlMacCsIx","9HNa5Wba9A","X99M06cbEe","DyGG3AbaNP","JLbD19bQDL","QMFrweE19q","9FxExcQeMw","eewbuw0ToL","KYD54nUTWz","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2844","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=1129, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"number node, value=6434","layer":4},{"info":"number node, value=6559","layer":4},{"info":"compute binary expreesion, left_input=6434, right_input=6559, 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=46071","layer":3},{"info":"compute unary expreesion, input=46071, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3712","layer":4},{"info":"number node, value=7219","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=7219, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2218","layer":4},{"info":"number node, value=7223","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=7223, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12228","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12228, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=2362","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2362, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1790∼⫖↰⪸7A1≫≃)*((⫖↰⪸3882⫡⨏⫖↰⪸3967)⪠⩆⊳)⩨(⫖↰⪸2194⫥∨⫟⫖↰⪸4217)⨰(⫖↰⪸134A⋷⫖↰⪸421B)⩷∴(⊄⩳↩⫖↰⪸857↬⫖↰⪸144A)=NaN","reverse_text":"NaN=(⫖↰⪸1790∼⫖↰⪸7A1≫≃)*((⫖↰⪸3882⫡⨏⫖↰⪸3967)⪠⩆⊳)⩨(⫖↰⪸2194⫥∨⫟⫖↰⪸4217)⨰(⫖↰⪸134A⋷⫖↰⪸421B)⩷∴(⊄⩳↩⫖↰⪸857↬⫖↰⪸144A)","cot":[{"info":"⫖↰⪸1790∼⫖↰⪸7A1=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⫖↰⪸3882⫡⨏⫖↰⪸3967=⫖↰⪸227B3","layer":3},{"info":"⫖↰⪸227B3⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"NaN*⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2194⫥∨⫟⫖↰⪸4217=NaN","layer":3},{"info":"⫖↰⪸134A⋷⫖↰⪸421B=⫖↰⪸70B0","layer":3},{"info":"NaN⨰⫖↰⪸70B0=NaN","layer":2},{"info":"⫖↰⪸857↬⫖↰⪸144A=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"∂($2067$⨐⩸⫘$2052$↺$4384$⩷∴$1366$⫡⨏(⩦⩻⨪$3343$)*$1334$⫥∨⫟$5796$)","expression":"∂(⫖↰⪸1243⨐⩸⫘⫖↰⪸1230↺⫖↰⪸2654⩷∴⫖↰⪸95A⫡⨏(⩦⩻⨪⫖↰⪸1B27)*⫖↰⪸932⫥∨⫟⫖↰⪸3430)","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":2067,"base":12},"right_expr":{"type":"numeric_atoms","value":2052,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4384,"base":12},"right_expr":{"type":"numeric_atoms","value":1366,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3343,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1334,"base":12},"right_expr":{"type":"numeric_atoms","value":5796,"base":12}}}}},"used_operators":["Uaa54Peajs","QMFrweE19q","7j4O788W3g","fu6greOZ01","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","KYD54nUTWz"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2067","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=2052, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4384","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=4384, right_input=1366, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6004","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6004, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6004","layer":2},{"info":"number node, value=3343","layer":4},{"info":"compute unary expreesion, input=3343, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3343","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=5796","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=5796, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3343, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6004, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"∂(⫖↰⪸1243⨐⩸⫘⫖↰⪸1230↺⫖↰⪸2654⩷∴⫖↰⪸95A⫡⨏(⩦⩻⨪⫖↰⪸1B27)*⫖↰⪸932⫥∨⫟⫖↰⪸3430)=NaN","reverse_text":"NaN=∂(⫖↰⪸1243⨐⩸⫘⫖↰⪸1230↺⫖↰⪸2654⩷∴⫖↰⪸95A⫡⨏(⩦⩻⨪⫖↰⪸1B27)*⫖↰⪸932⫥∨⫟⫖↰⪸3430)","cot":[{"info":"⫖↰⪸1243⨐⩸⫘⫖↰⪸1230=NaN","layer":3},{"info":"⫖↰⪸2654⩷∴⫖↰⪸95A=⫖↰⪸3584","layer":3},{"info":"NaN↺⫖↰⪸3584=⫖↰⪸3584","layer":2},{"info":"⩦⩻⨪⫖↰⪸1B27=⫖↰⪸1B27","layer":3},{"info":"⫖↰⪸932⫥∨⫟⫖↰⪸3430=NaN","layer":3},{"info":"⫖↰⪸1B27*NaN=NaN","layer":2},{"info":"⫖↰⪸3584⫡⨏NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(($5255$*$1689$⇼⇔∾($1189$⩨$2169$))⫥∨⫟($6220$∼$2643$*($5705$⪒$2538$)))⪢((⪲⇎($7067$⫸⊐$3262$))⨓(-($2468$∸)))","expression":"((⫖↰⪸305B*⫖↰⪸B89⇼⇔∾(⫖↰⪸831⩨⫖↰⪸1309))⫥∨⫟(⫖↰⪸3724∼⫖↰⪸1643*(⫖↰⪸3375⪒⫖↰⪸1576)))⪢((⪲⇎(⫖↰⪸410B⫸⊐⫖↰⪸1A7A))⨓(-(⫖↰⪸1518∸)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2543,"operation_count":13,"complexity_ratio":195.6153846153846,"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":5255,"base":12},"right_expr":{"type":"numeric_atoms","value":1689,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1189,"base":12},"right_expr":{"type":"numeric_atoms","value":2169,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6220,"base":12},"right_expr":{"type":"numeric_atoms","value":2643,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5705,"base":12},"right_expr":{"type":"numeric_atoms","value":2538,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7067,"base":12},"right_expr":{"type":"numeric_atoms","value":3262,"base":12}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2468,"base":12}}}}},"used_operators":["dWAJyo7jo9","KYD54nUTWz","tifHPKVTfV","9HNa5Wba9A","2DlMacCsIx","DyGG3AbaNP","f6k1SAg4EE","3ViojmjbAp","XPYlsWDdGa","mqXw5SEYmG","t8gj7n24qd","o20kRiQErp"],"dependent_operators":["k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5255","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=5255, right_input=1689, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8875695","layer":3},{"info":"number node, value=1189","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=2169, 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=8875695, right_input=-3, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-8875698","layer":2},{"info":"number node, value=6220","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=6220, right_input=2643, 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=5705","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=2538, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8243","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8243, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8875698, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=7067","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=7067, right_input=3262, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12923","layer":3},{"info":"compute unary expreesion, input=12923, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=25846","layer":2},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-177","layer":2},{"info":"compute binary expreesion, left_input=25846, right_input=-177, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-180","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-180, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"((⫖↰⪸305B*⫖↰⪸B89⇼⇔∾(⫖↰⪸831⩨⫖↰⪸1309))⫥∨⫟(⫖↰⪸3724∼⫖↰⪸1643*(⫖↰⪸3375⪒⫖↰⪸1576)))⪢((⪲⇎(⫖↰⪸410B⫸⊐⫖↰⪸1A7A))⨓(-(⫖↰⪸1518∸)))=NaN","reverse_text":"NaN=((⫖↰⪸305B*⫖↰⪸B89⇼⇔∾(⫖↰⪸831⩨⫖↰⪸1309))⫥∨⫟(⫖↰⪸3724∼⫖↰⪸1643*(⫖↰⪸3375⪒⫖↰⪸1576)))⪢((⪲⇎(⫖↰⪸410B⫸⊐⫖↰⪸1A7A))⨓(-(⫖↰⪸1518∸)))","cot":[{"info":"⫖↰⪸305B*⫖↰⪸B89=⫖↰⪸2B80493","layer":3},{"info":"⫖↰⪸831⩨⫖↰⪸1309=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸2B80493⇼⇔∾⫖↰⪸-3=⫖↰⪸-2B80496","layer":2},{"info":"⫖↰⪸3724∼⫖↰⪸1643=NaN","layer":3},{"info":"⫖↰⪸3375⪒⫖↰⪸1576=⫖↰⪸-492B","layer":3},{"info":"NaN*⫖↰⪸-492B=NaN","layer":2},{"info":"⫖↰⪸-2B80496⫥∨⫟NaN=NaN","layer":1},{"info":"⫖↰⪸410B⫸⊐⫖↰⪸1A7A=⫖↰⪸758B","layer":3},{"info":"⪲⇎⫖↰⪸758B=⫖↰⪸12B5A","layer":2},{"info":"⫖↰⪸1518∸=⫖↰⪸129","layer":3},{"info":"-⫖↰⪸129=⫖↰⪸-129","layer":2},{"info":"⫖↰⪸12B5A⨓⫖↰⪸-129=⫖↰⪸-130","layer":1},{"info":"NaN⪢⫖↰⪸-130=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"(⩦⩻⨪($2958$⨓$1656$↙$1562$↬$1031$))%($5522$⨽$2837$-$3956$⨰$4289$)⪛($2620$⪮%⊝$6101$⫥∨⫟$8080$⨓$4548$)","expression":"(⩦⩻⨪(⫖↰⪸1866⨓⫖↰⪸B60↙⫖↰⪸AA2↬⫖↰⪸71B))%(⫖↰⪸3242⨽⫖↰⪸1785-⫖↰⪸2358⨰⫖↰⪸2595)⪛(⫖↰⪸1624⪮%⊝⫖↰⪸3645⫥∨⫟⫖↰⪸4814⨓⫖↰⪸2770)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11927,"operation_count":12,"complexity_ratio":993.9166666666666,"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":2958,"base":12},"right_expr":{"type":"numeric_atoms","value":1656,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1562,"base":12},"right_expr":{"type":"numeric_atoms","value":1031,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5522,"base":12},"right_expr":{"type":"numeric_atoms","value":2837,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3956,"base":12},"right_expr":{"type":"numeric_atoms","value":4289,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2620,"base":12},"right_expr":{"type":"numeric_atoms","value":6101,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8080,"base":12},"right_expr":{"type":"numeric_atoms","value":4548,"base":12}}}}},"used_operators":["k8jYdgA6NY","2td37pGCOC","yyfyN0ffXY","3ViojmjbAp","B5M0gjZbta","uFcxV4UQCh","rysDP5nf3Z","8HhzD0ZcuI","eewbuw0ToL","KYD54nUTWz","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2958","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=1656, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1659","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1031, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1659, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1659","layer":2},{"info":"compute unary expreesion, input=-1659, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1659","layer":1},{"info":"number node, value=5522","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=5522, right_input=2837, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-91484649","layer":3},{"info":"number node, value=3956","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=3956, right_input=4289, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-323","layer":3},{"info":"compute binary expreesion, left_input=-91484649, right_input=-323, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-91484326","layer":2},{"info":"number node, value=2620","layer":4},{"info":"number node, value=6101","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=6101, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5556","layer":3},{"info":"number node, value=8080","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=8080, right_input=4548, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4551","layer":3},{"info":"compute binary expreesion, left_input=5556, right_input=-4551, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-91484326, 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=-1659, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪(⫖↰⪸1866⨓⫖↰⪸B60↙⫖↰⪸AA2↬⫖↰⪸71B))%(⫖↰⪸3242⨽⫖↰⪸1785-⫖↰⪸2358⨰⫖↰⪸2595)⪛(⫖↰⪸1624⪮%⊝⫖↰⪸3645⫥∨⫟⫖↰⪸4814⨓⫖↰⪸2770)=NaN","reverse_text":"NaN=(⩦⩻⨪(⫖↰⪸1866⨓⫖↰⪸B60↙⫖↰⪸AA2↬⫖↰⪸71B))%(⫖↰⪸3242⨽⫖↰⪸1785-⫖↰⪸2358⨰⫖↰⪸2595)⪛(⫖↰⪸1624⪮%⊝⫖↰⪸3645⫥∨⫟⫖↰⪸4814⨓⫖↰⪸2770)","cot":[{"info":"⫖↰⪸1866⨓⫖↰⪸B60=⫖↰⪸-B63","layer":3},{"info":"⫖↰⪸AA2↬⫖↰⪸71B=NaN","layer":3},{"info":"⫖↰⪸-B63↙NaN=⫖↰⪸-B63","layer":2},{"info":"⩦⩻⨪⫖↰⪸-B63=⫖↰⪸-B63","layer":1},{"info":"⫖↰⪸3242⨽⫖↰⪸1785=⫖↰⪸-2677A609","layer":3},{"info":"⫖↰⪸2358⨰⫖↰⪸2595=⫖↰⪸-22B","layer":3},{"info":"⫖↰⪸-2677A609-⫖↰⪸-22B=⫖↰⪸-2677A39A","layer":2},{"info":"⫖↰⪸1624⪮%⊝⫖↰⪸3645=⫖↰⪸3270","layer":3},{"info":"⫖↰⪸4814⨓⫖↰⪸2770=⫖↰⪸-2773","layer":3},{"info":"⫖↰⪸3270⫥∨⫟⫖↰⪸-2773=NaN","layer":2},{"info":"⫖↰⪸-2677A39A⪛NaN=NaN","layer":1},{"info":"⫖↰⪸-B63%NaN=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"(⨑⩽⪐$1446$≹⇙⪍$3008$≧⫂∧(⨞⊢$3613$))⋝⋈⪟(($1715$⊉≛↸$2261$↛⩡⫤)⋓(($8749$⊉≛↸$6446$)⪠⩆⊳))","expression":"(⨑⩽⪐⫖↰⪸A06≹⇙⪍⫖↰⪸18A8≧⫂∧(⨞⊢⫖↰⪸2111))⋝⋈⪟((⫖↰⪸BAB⊉≛↸⫖↰⪸1385↛⩡⫤)⋓((⫖↰⪸5091⊉≛↸⫖↰⪸3892)⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10462,"operation_count":10,"complexity_ratio":1046.2,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1446,"base":12},"right_expr":{"type":"numeric_atoms","value":3008,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3613,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1715,"base":12},"right_expr":{"type":"numeric_atoms","value":2261,"base":12}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8749,"base":12},"right_expr":{"type":"numeric_atoms","value":6446,"base":12}}}}},"used_operators":["2DDjHMKMc0","AF7qkfDlqP","Ph9nP6C5qx","AHs5Up7iyr","xUOZtlo3hN","T2fj7uvVaJ","FU0Cs4j7VP","DZ8iAZOCBD","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=3008, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3613","layer":4},{"info":"compute unary expreesion, input=3613, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3787","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3787, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1715","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=2261, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3430","layer":3},{"info":"compute unary expreesion, input=3430, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-514019","layer":2},{"info":"number node, value=8749","layer":4},{"info":"number node, value=6446","layer":4},{"info":"compute binary expreesion, left_input=8749, right_input=6446, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17498","layer":3},{"info":"compute unary expreesion, input=17498, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-514019, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸A06≹⇙⪍⫖↰⪸18A8≧⫂∧(⨞⊢⫖↰⪸2111))⋝⋈⪟((⫖↰⪸BAB⊉≛↸⫖↰⪸1385↛⩡⫤)⋓((⫖↰⪸5091⊉≛↸⫖↰⪸3892)⪠⩆⊳))=NaN","reverse_text":"NaN=(⨑⩽⪐⫖↰⪸A06≹⇙⪍⫖↰⪸18A8≧⫂∧(⨞⊢⫖↰⪸2111))⋝⋈⪟((⫖↰⪸BAB⊉≛↸⫖↰⪸1385↛⩡⫤)⋓((⫖↰⪸5091⊉≛↸⫖↰⪸3892)⪠⩆⊳))","cot":[{"info":"⫖↰⪸A06≹⇙⪍⫖↰⪸18A8=NaN","layer":3},{"info":"⨞⊢⫖↰⪸2111=⫖↰⪸-2237","layer":3},{"info":"NaN≧⫂∧⫖↰⪸-2237=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫖↰⪸BAB⊉≛↸⫖↰⪸1385=⫖↰⪸1B9A","layer":3},{"info":"⫖↰⪸1B9A↛⩡⫤=⫖↰⪸-20956B","layer":2},{"info":"⫖↰⪸5091⊉≛↸⫖↰⪸3892=⫖↰⪸A162","layer":3},{"info":"⫖↰⪸A162⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-20956B⋓⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸0=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"⩦⩻⨪((↔($2484$⪄$2708$))⨵⪆($1431$%$4059$)↬($5298$⪄$4427$))","expression":"⩦⩻⨪((↔(⫖↰⪸1530⪄⫖↰⪸1698))⨵⪆(⫖↰⪸9B3%⫖↰⪸2423)↬(⫖↰⪸3096⪄⫖↰⪸268B))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":218,"operation_count":7,"complexity_ratio":31.142857142857142,"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":2484,"base":12},"right_expr":{"type":"numeric_atoms","value":2708,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1431,"base":12},"right_expr":{"type":"numeric_atoms","value":4059,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5298,"base":12},"right_expr":{"type":"numeric_atoms","value":4427,"base":12}}}}},"used_operators":["2td37pGCOC","2DQ55sFlQl","ruOEQAzv1W","SUmda5xLS4","B5M0gjZbta","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2484","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=2708, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-374553","layer":3},{"info":"compute unary expreesion, input=-374553, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=4059, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1431","layer":3},{"info":"number node, value=5298","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=4427, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-797901","layer":3},{"info":"compute binary expreesion, left_input=1431, right_input=-797901, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-134, right_input=nan, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((↔(⫖↰⪸1530⪄⫖↰⪸1698))⨵⪆(⫖↰⪸9B3%⫖↰⪸2423)↬(⫖↰⪸3096⪄⫖↰⪸268B))=⫖↰⪸114","reverse_text":"⫖↰⪸114=⩦⩻⨪((↔(⫖↰⪸1530⪄⫖↰⪸1698))⨵⪆(⫖↰⪸9B3%⫖↰⪸2423)↬(⫖↰⪸3096⪄⫖↰⪸268B))","cot":[{"info":"⫖↰⪸1530⪄⫖↰⪸1698=⫖↰⪸-160909","layer":3},{"info":"↔⫖↰⪸-160909=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸9B3%⫖↰⪸2423=⫖↰⪸9B3","layer":3},{"info":"⫖↰⪸3096⪄⫖↰⪸268B=⫖↰⪸-3258B9","layer":3},{"info":"⫖↰⪸9B3↬⫖↰⪸-3258B9=NaN","layer":2},{"info":"⫖↰⪸-B2⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⩦⩻⨪⫖↰⪸114=⫖↰⪸114","layer":0}]}
{"id":205,"expression_no_base_symbol":"(((⇁⨣⪵$5235$)⨳⩥⨓$1592$⨎$1240$)≦≮≮)⩤","expression":"(((⇁⨣⪵⫖↰⪸3043)⨳⩥⨓⫖↰⪸B08⨎⫖↰⪸874)≦≮≮)⩤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9,"operation_count":5,"complexity_ratio":1.8,"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":5235,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1592,"base":12},"right_expr":{"type":"numeric_atoms","value":1240,"base":12}}}}},"used_operators":["Z2TMIBDE3Q","D4vGDi5EA2","nCS4ZIUYfx","inkyxCbjAn","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5235","layer":4},{"info":"compute unary expreesion, input=5235, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1592","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=1240, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1240","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1240, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⇁⨣⪵⫖↰⪸3043)⨳⩥⨓⫖↰⪸B08⨎⫖↰⪸874)≦≮≮)⩤=NaN","reverse_text":"NaN=(((⇁⨣⪵⫖↰⪸3043)⨳⩥⨓⫖↰⪸B08⨎⫖↰⪸874)≦≮≮)⩤","cot":[{"info":"⇁⨣⪵⫖↰⪸3043=NaN","layer":3},{"info":"⫖↰⪸B08⨎⫖↰⪸874=⫖↰⪸874","layer":3},{"info":"NaN⨳⩥⨓⫖↰⪸874=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"(((⨰⫟⨤$6207$)⨁⊸⫻)⊉≛↸(⫓⪴($7806$⇼⇔∾$1295$)))⨰(($2274$-$1951$)∀⇚≩(⊄⩳↩$3013$)⋷(↣≠⋷($6279$↙$4540$)))","expression":"(((⨰⫟⨤⫖↰⪸3713)⨁⊸⫻)⊉≛↸(⫓⪴(⫖↰⪸4626⇼⇔∾⫖↰⪸8BB)))⨰((⫖↰⪸1396-⫖↰⪸1167)∀⇚≩(⊄⩳↩⫖↰⪸18B1)⋷(↣≠⋷(⫖↰⪸3773↙⫖↰⪸2764)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37323,"operation_count":12,"complexity_ratio":3110.25,"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":6207,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7806,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2274,"base":12},"right_expr":{"type":"numeric_atoms","value":1951,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3013,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6279,"base":12},"right_expr":{"type":"numeric_atoms","value":4540,"base":12}}}}},"used_operators":["eewbuw0ToL","DZ8iAZOCBD","glklzrTFfD","Tw270M8GLb","eLxqMNBOBk","tifHPKVTfV","23Mk6UjR3U","LRNGc0VcxI","rysDP5nf3Z","8w2t5hMYqp","Asc51vEJeQ","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6207","layer":4},{"info":"compute unary expreesion, input=6207, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=7806","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=7806, right_input=1295, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6511","layer":3},{"info":"compute unary expreesion, input=-6511, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=42393121","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=42393121, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1951, op_id = rysDP5nf3Z binary_op_definition= 'None', output=323","layer":3},{"info":"number node, value=3013","layer":4},{"info":"compute unary expreesion, input=3013, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9039","layer":3},{"info":"compute binary expreesion, left_input=323, right_input=-9039, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6279","layer":4},{"info":"number node, value=4540","layer":4},{"info":"compute binary expreesion, left_input=6279, right_input=4540, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13620","layer":3},{"info":"compute unary expreesion, input=-13620, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⨰⫟⨤⫖↰⪸3713)⨁⊸⫻)⊉≛↸(⫓⪴(⫖↰⪸4626⇼⇔∾⫖↰⪸8BB)))⨰((⫖↰⪸1396-⫖↰⪸1167)∀⇚≩(⊄⩳↩⫖↰⪸18B1)⋷(↣≠⋷(⫖↰⪸3773↙⫖↰⪸2764)))=NaN","reverse_text":"NaN=(((⨰⫟⨤⫖↰⪸3713)⨁⊸⫻)⊉≛↸(⫓⪴(⫖↰⪸4626⇼⇔∾⫖↰⪸8BB)))⨰((⫖↰⪸1396-⫖↰⪸1167)∀⇚≩(⊄⩳↩⫖↰⪸18B1)⋷(↣≠⋷(⫖↰⪸3773↙⫖↰⪸2764)))","cot":[{"info":"⨰⫟⨤⫖↰⪸3713=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⫖↰⪸4626⇼⇔∾⫖↰⪸8BB=⫖↰⪸-3927","layer":3},{"info":"⫓⪴⫖↰⪸-3927=⫖↰⪸12245081","layer":2},{"info":"NaN⊉≛↸⫖↰⪸12245081=NaN","layer":1},{"info":"⫖↰⪸1396-⫖↰⪸1167=⫖↰⪸22B","layer":3},{"info":"⊄⩳↩⫖↰⪸18B1=⫖↰⪸-5293","layer":3},{"info":"⫖↰⪸22B∀⇚≩⫖↰⪸-5293=NaN","layer":2},{"info":"⫖↰⪸3773↙⫖↰⪸2764=⫖↰⪸-7A70","layer":3},{"info":"↣≠⋷⫖↰⪸-7A70=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"($7571$⋝⋈⪟$2421$⋝⋈⪟($1678$⪄$7562$)⫡⨏$2973$⊴$3036$⊭↱$5877$↙$1572$)∼((⫛⫱⨽$4629$)≎⊠⪸($1643$+⇶⊼$1446$)≋⫹)","expression":"(⫖↰⪸446B⋝⋈⪟⫖↰⪸1499⋝⋈⪟(⫖↰⪸B7A⪄⫖↰⪸4462)⫡⨏⫖↰⪸1879⊴⫖↰⪸1910⊭↱⫖↰⪸3499↙⫖↰⪸AB0)∼((⫛⫱⨽⫖↰⪸2819)≎⊠⪸(⫖↰⪸B4B+⇶⊼⫖↰⪸A06)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6725,"operation_count":12,"complexity_ratio":560.4166666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7571,"base":12},"right_expr":{"type":"numeric_atoms","value":2421,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1678,"base":12},"right_expr":{"type":"numeric_atoms","value":7562,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2973,"base":12},"right_expr":{"type":"numeric_atoms","value":3036,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5877,"base":12},"right_expr":{"type":"numeric_atoms","value":1572,"base":12}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4629,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1643,"base":12},"right_expr":{"type":"numeric_atoms","value":1446,"base":12}}}}},"used_operators":["DyGG3AbaNP","QMFrweE19q","2DDjHMKMc0","SUmda5xLS4","COABgblf1C","Nsiff2A1zJ","yyfyN0ffXY","N41Kp7NANJ","bJkvcejdHO","DlLNRPXxWL","TpPTUOHfaN"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","AHs5Up7iyr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7571","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=7571, right_input=2421, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7571","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=7562","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=7562, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-274681","layer":3},{"info":"compute binary expreesion, left_input=7571, right_input=-274681, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7571","layer":2},{"info":"number node, value=2973","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=3036, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5877","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=5877, right_input=1572, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4716, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7571, 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=4629","layer":4},{"info":"compute unary expreesion, input=4629, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=1446, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, 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":"(⫖↰⪸446B⋝⋈⪟⫖↰⪸1499⋝⋈⪟(⫖↰⪸B7A⪄⫖↰⪸4462)⫡⨏⫖↰⪸1879⊴⫖↰⪸1910⊭↱⫖↰⪸3499↙⫖↰⪸AB0)∼((⫛⫱⨽⫖↰⪸2819)≎⊠⪸(⫖↰⪸B4B+⇶⊼⫖↰⪸A06)≋⫹)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸446B⋝⋈⪟⫖↰⪸1499⋝⋈⪟(⫖↰⪸B7A⪄⫖↰⪸4462)⫡⨏⫖↰⪸1879⊴⫖↰⪸1910⊭↱⫖↰⪸3499↙⫖↰⪸AB0)∼((⫛⫱⨽⫖↰⪸2819)≎⊠⪸(⫖↰⪸B4B+⇶⊼⫖↰⪸A06)≋⫹)","cot":[{"info":"⫖↰⪸446B⋝⋈⪟⫖↰⪸1499=⫖↰⪸446B","layer":3},{"info":"⫖↰⪸B7A⪄⫖↰⪸4462=⫖↰⪸-112B61","layer":3},{"info":"⫖↰⪸446B⋝⋈⪟⫖↰⪸-112B61=⫖↰⪸446B","layer":2},{"info":"⫖↰⪸1879⊴⫖↰⪸1910=NaN","layer":3},{"info":"⫖↰⪸3499↙⫖↰⪸AB0=⫖↰⪸-2890","layer":3},{"info":"NaN⊭↱⫖↰⪸-2890=NaN","layer":2},{"info":"⫖↰⪸446B⫡⨏NaN=NaN","layer":1},{"info":"⫛⫱⨽⫖↰⪸2819=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B4B+⇶⊼⫖↰⪸A06=NaN","layer":3},{"info":"⫖↰⪸0≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57≋⫹=⫖↰⪸-B2","layer":1},{"info":"NaN∼⫖↰⪸-B2=⫖↰⪸0","layer":0}]}
{"id":208,"expression_no_base_symbol":"((≉$2654$⪢$1949$)⨸⪁(($3817$⪐)⫡⨏(⊄⩳↩$5925$)))⪢(($1399$/$1143$)⇷($1645$↺$6174$)≎⊠⪸($2135$≎⊠⪸$2356$∲⫓(⪝⪂⫅$3607$)))","expression":"((≉⫖↰⪸1652⪢⫖↰⪸1165)⨸⪁((⫖↰⪸2261⪐)⫡⨏(⊄⩳↩⫖↰⪸3519)))⪢((⫖↰⪸987/⫖↰⪸7B3)⇷(⫖↰⪸B51↺⫖↰⪸36A6)≎⊠⪸(⫖↰⪸129B≎⊠⪸⫖↰⪸1444∲⫓(⪝⪂⫅⫖↰⪸2107)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5076,"operation_count":14,"complexity_ratio":362.57142857142856,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2654,"base":12},"right_expr":{"type":"numeric_atoms","value":1949,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3817,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5925,"base":12}}}},"right_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":1143,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1645,"base":12},"right_expr":{"type":"numeric_atoms","value":6174,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2135,"base":12},"right_expr":{"type":"numeric_atoms","value":2356,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3607,"base":12}}}}},"used_operators":["dWAJyo7jo9","g55IO6H4Gj","e1ybzncUwg","QMFrweE19q","eH2TOUuTDT","8w2t5hMYqp","bJkvcejdHO","mp7IySMOzn","XhwjNDsVaA","7j4O788W3g","i8ToyICDmI","XTarYq4gQB"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2654","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=1949, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=3817","layer":4},{"info":"compute unary expreesion, input=3817, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7634","layer":3},{"info":"number node, value=5925","layer":4},{"info":"compute unary expreesion, input=5925, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17775","layer":3},{"info":"compute binary expreesion, left_input=7634, right_input=-17775, 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=3403","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3403, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1399","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1143, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=6174","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=6174, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6174","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=6174, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12348","layer":2},{"info":"number node, value=2135","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=2356, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=552492","layer":3},{"info":"number node, value=3607","layer":4},{"info":"compute unary expreesion, input=3607, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-530229","layer":3},{"info":"compute binary expreesion, left_input=552492, right_input=-530229, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=552492","layer":2},{"info":"compute binary expreesion, left_input=12348, right_input=552492, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3197659","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3197659, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"((≉⫖↰⪸1652⪢⫖↰⪸1165)⨸⪁((⫖↰⪸2261⪐)⫡⨏(⊄⩳↩⫖↰⪸3519)))⪢((⫖↰⪸987/⫖↰⪸7B3)⇷(⫖↰⪸B51↺⫖↰⪸36A6)≎⊠⪸(⫖↰⪸129B≎⊠⪸⫖↰⪸1444∲⫓(⪝⪂⫅⫖↰⪸2107)))=NaN","reverse_text":"NaN=((≉⫖↰⪸1652⪢⫖↰⪸1165)⨸⪁((⫖↰⪸2261⪐)⫡⨏(⊄⩳↩⫖↰⪸3519)))⪢((⫖↰⪸987/⫖↰⪸7B3)⇷(⫖↰⪸B51↺⫖↰⪸36A6)≎⊠⪸(⫖↰⪸129B≎⊠⪸⫖↰⪸1444∲⫓(⪝⪂⫅⫖↰⪸2107)))","cot":[{"info":"⫖↰⪸1652⪢⫖↰⪸1165=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫖↰⪸2261⪐=⫖↰⪸4502","layer":3},{"info":"⊄⩳↩⫖↰⪸3519=⫖↰⪸-A353","layer":3},{"info":"⫖↰⪸4502⫡⨏⫖↰⪸-A353=⫖↰⪸1B77","layer":2},{"info":"NaN⨸⪁⫖↰⪸1B77=NaN","layer":1},{"info":"⫖↰⪸987/⫖↰⪸7B3=⫖↰⪸1","layer":3},{"info":"⫖↰⪸B51↺⫖↰⪸36A6=⫖↰⪸36A6","layer":3},{"info":"⫖↰⪸1⇷⫖↰⪸36A6=⫖↰⪸7190","layer":2},{"info":"⫖↰⪸129B≎⊠⪸⫖↰⪸1444=⫖↰⪸227890","layer":3},{"info":"⪝⪂⫅⫖↰⪸2107=⫖↰⪸-216A19","layer":3},{"info":"⫖↰⪸227890∲⫓⫖↰⪸-216A19=⫖↰⪸227890","layer":2},{"info":"⫖↰⪸7190≎⊠⪸⫖↰⪸227890=⫖↰⪸10A25B7","layer":1},{"info":"NaN⪢⫖↰⪸10A25B7=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"($5570$∧)⩷∴$1673$⪛$2530$⨸⪁(($1027$↪⪝)⊭↱$2459$⫸⊐$4895$)⩨(⪝⪂⫅(⫓⪴$1009$))⪮%⊝($1145$⋝⋈⪟$1022$⋥≓≎(↩$4154$))","expression":"(⫖↰⪸3282∧)⩷∴⫖↰⪸B75⪛⫖↰⪸156A⨸⪁((⫖↰⪸717↪⪝)⊭↱⫖↰⪸150B⫸⊐⫖↰⪸29BB)⩨(⪝⪂⫅(⫓⪴⫖↰⪸701))⪮%⊝(⫖↰⪸7B5⋝⋈⪟⫖↰⪸712⋥≓≎(↩⫖↰⪸24A2))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1944,"operation_count":14,"complexity_ratio":138.85714285714286,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5570,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1673,"base":12},"right_expr":{"type":"numeric_atoms","value":2530,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1027,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2459,"base":12},"right_expr":{"type":"numeric_atoms","value":4895,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1009,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1145,"base":12},"right_expr":{"type":"numeric_atoms","value":1022,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4154,"base":12}}}}},"used_operators":["2DlMacCsIx","g55IO6H4Gj","9FxExcQeMw","z63VuFQld9","uFcxV4UQCh","COABgblf1C","l07mrZUIn9","mqXw5SEYmG","IWmyXbctLI","XTarYq4gQB","eLxqMNBOBk","Qy55tPpLXF","2DDjHMKMc0","jLgFTUHLKL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","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=5570","layer":4},{"info":"compute unary expreesion, input=5570, 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=1673","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=2530, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1673, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=62833914","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=4895, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19455","layer":3},{"info":"compute binary expreesion, left_input=62833914, right_input=19455, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-125628913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-125628913, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1018081","layer":3},{"info":"compute unary expreesion, input=1018081, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-149657907","layer":2},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1145","layer":3},{"info":"number node, value=4154","layer":4},{"info":"compute unary expreesion, input=4154, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-30452","layer":3},{"info":"compute binary expreesion, left_input=1145, right_input=-30452, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-62016","layer":2},{"info":"compute binary expreesion, left_input=-149657907, right_input=-62016, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-299315498","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-299315498, 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":"(⫖↰⪸3282∧)⩷∴⫖↰⪸B75⪛⫖↰⪸156A⨸⪁((⫖↰⪸717↪⪝)⊭↱⫖↰⪸150B⫸⊐⫖↰⪸29BB)⩨(⪝⪂⫅(⫓⪴⫖↰⪸701))⪮%⊝(⫖↰⪸7B5⋝⋈⪟⫖↰⪸712⋥≓≎(↩⫖↰⪸24A2))=NaN","reverse_text":"NaN=(⫖↰⪸3282∧)⩷∴⫖↰⪸B75⪛⫖↰⪸156A⨸⪁((⫖↰⪸717↪⪝)⊭↱⫖↰⪸150B⫸⊐⫖↰⪸29BB)⩨(⪝⪂⫅(⫓⪴⫖↰⪸701))⪮%⊝(⫖↰⪸7B5⋝⋈⪟⫖↰⪸712⋥≓≎(↩⫖↰⪸24A2))","cot":[{"info":"⫖↰⪸3282∧=NaN","layer":3},{"info":"⫖↰⪸B75⪛⫖↰⪸156A=⫖↰⪸B75","layer":3},{"info":"NaN⩷∴⫖↰⪸B75=NaN","layer":2},{"info":"⫖↰⪸717↪⪝=⫖↰⪸19062276","layer":3},{"info":"⫖↰⪸150B⫸⊐⫖↰⪸29BB=⫖↰⪸B313","layer":3},{"info":"⫖↰⪸19062276⊭↱⫖↰⪸B313=⫖↰⪸-360A5B01","layer":2},{"info":"NaN⨸⪁⫖↰⪸-360A5B01=NaN","layer":1},{"info":"⫓⪴⫖↰⪸701=⫖↰⪸411201","layer":3},{"info":"⪝⪂⫅⫖↰⪸411201=⫖↰⪸-42153703","layer":2},{"info":"⫖↰⪸7B5⋝⋈⪟⫖↰⪸712=⫖↰⪸7B5","layer":3},{"info":"↩⫖↰⪸24A2=⫖↰⪸-15758","layer":3},{"info":"⫖↰⪸7B5⋥≓≎⫖↰⪸-15758=⫖↰⪸-2BA80","layer":2},{"info":"⫖↰⪸-42153703⪮%⊝⫖↰⪸-2BA80=⫖↰⪸-842A6BA2","layer":1},{"info":"NaN⩨⫖↰⪸-842A6BA2=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"(($7776$⫥∨⫟$2160$⊘)⨰((↩$3490$)-(↥$4083$)))⪘⫢(↯⪼($3552$⊴$2233$⋓($7066$⫡⨏$2322$)))","expression":"((⫖↰⪸4600⫥∨⫟⫖↰⪸1300⊘)⨰((↩⫖↰⪸202A)-(↥⫖↰⪸2443)))⪘⫢(↯⪼(⫖↰⪸2080⊴⫖↰⪸1361⋓(⫖↰⪸410A⫡⨏⫖↰⪸1416)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2816,"operation_count":11,"complexity_ratio":256.0,"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":7776,"base":12},"right_expr":{"type":"numeric_atoms","value":2160,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3490,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4083,"base":12}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3552,"base":12},"right_expr":{"type":"numeric_atoms","value":2233,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7066,"base":12},"right_expr":{"type":"numeric_atoms","value":2322,"base":12}}}}},"used_operators":["oacrs7FA3X","eewbuw0ToL","gu96TGCTMs","KYD54nUTWz","rysDP5nf3Z","jLgFTUHLKL","A8NUZmVepG","8jW3W4yZS5","T2fj7uvVaJ","Nsiff2A1zJ","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7776","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=7776, right_input=2160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"number node, value=3490","layer":4},{"info":"compute unary expreesion, input=3490, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25140","layer":3},{"info":"number node, value=4083","layer":4},{"info":"compute unary expreesion, input=4083, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=-25140, right_input=3, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-25143","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-25143, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3552","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=2233, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7066","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=7066, right_input=2322, 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=40757","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=40757, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4600⫥∨⫟⫖↰⪸1300⊘)⨰((↩⫖↰⪸202A)-(↥⫖↰⪸2443)))⪘⫢(↯⪼(⫖↰⪸2080⊴⫖↰⪸1361⋓(⫖↰⪸410A⫡⨏⫖↰⪸1416)))=NaN","reverse_text":"NaN=((⫖↰⪸4600⫥∨⫟⫖↰⪸1300⊘)⨰((↩⫖↰⪸202A)-(↥⫖↰⪸2443)))⪘⫢(↯⪼(⫖↰⪸2080⊴⫖↰⪸1361⋓(⫖↰⪸410A⫡⨏⫖↰⪸1416)))","cot":[{"info":"⫖↰⪸4600⫥∨⫟⫖↰⪸1300=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"↩⫖↰⪸202A=⫖↰⪸-12670","layer":3},{"info":"↥⫖↰⪸2443=⫖↰⪸3","layer":3},{"info":"⫖↰⪸-12670-⫖↰⪸3=⫖↰⪸-12673","layer":2},{"info":"NaN⨰⫖↰⪸-12673=NaN","layer":1},{"info":"⫖↰⪸2080⊴⫖↰⪸1361=NaN","layer":3},{"info":"⫖↰⪸410A⫡⨏⫖↰⪸1416=⫖↰⪸1B705","layer":3},{"info":"NaN⋓⫖↰⪸1B705=⫖↰⪸0","layer":2},{"info":"↯⪼⫖↰⪸0=⫖↰⪸-19","layer":1},{"info":"NaN⪘⫢⫖↰⪸-19=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"⨈⫕(((≦∁$2544$)∲⫓$2632$⋳⪒$1660$)⨸⪁($2210$⩷∴$6691$)↬($1820$⋝⋈⪟$1090$))","expression":"⨈⫕(((≦∁⫖↰⪸1580)∲⫓⫖↰⪸1634⋳⪒⫖↰⪸B64)⨸⪁(⫖↰⪸1342⩷∴⫖↰⪸3A57)↬(⫖↰⪸1078⋝⋈⪟⫖↰⪸76A))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":409,"operation_count":8,"complexity_ratio":51.125,"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":2544,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2632,"base":12},"right_expr":{"type":"numeric_atoms","value":1660,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2210,"base":12},"right_expr":{"type":"numeric_atoms","value":6691,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1820,"base":12},"right_expr":{"type":"numeric_atoms","value":1090,"base":12}}}}},"used_operators":["megm06wKyl","g55IO6H4Gj","i8ToyICDmI","9ICcGScMcE","12rbrZMWeM","B5M0gjZbta","9FxExcQeMw","2DDjHMKMc0"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2544","layer":3},{"info":"number node, value=2632","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=1660, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3317","layer":3},{"info":"compute binary expreesion, left_input=2544, right_input=3317, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2210","layer":4},{"info":"number node, value=6691","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=6691, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8994","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=1090, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1820","layer":3},{"info":"compute binary expreesion, left_input=-8994, right_input=1820, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"⨈⫕(((≦∁⫖↰⪸1580)∲⫓⫖↰⪸1634⋳⪒⫖↰⪸B64)⨸⪁(⫖↰⪸1342⩷∴⫖↰⪸3A57)↬(⫖↰⪸1078⋝⋈⪟⫖↰⪸76A))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(((≦∁⫖↰⪸1580)∲⫓⫖↰⪸1634⋳⪒⫖↰⪸B64)⨸⪁(⫖↰⪸1342⩷∴⫖↰⪸3A57)↬(⫖↰⪸1078⋝⋈⪟⫖↰⪸76A))","cot":[{"info":"≦∁⫖↰⪸1580=⫖↰⪸1580","layer":3},{"info":"⫖↰⪸1634⋳⪒⫖↰⪸B64=⫖↰⪸1B05","layer":3},{"info":"⫖↰⪸1580∲⫓⫖↰⪸1B05=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1342⩷∴⫖↰⪸3A57=⫖↰⪸-5256","layer":3},{"info":"⫖↰⪸1078⋝⋈⪟⫖↰⪸76A=⫖↰⪸1078","layer":3},{"info":"⫖↰⪸-5256↬⫖↰⪸1078=NaN","layer":2},{"info":"⫖↰⪸0⨸⪁NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":212,"expression_no_base_symbol":"(($5957$≹⇙⪍$5611$⫸⊐$2061$⪛$2369$)⨳⩥⨓(($4933$⨐⩸⫘$1732$)∸))⋥≓≎($3877$⋥≓≎$2431$⨸⪁$8048$⩚⊴⇥$1604$)⨽($2998$+$5558$⫡⨏$2301$⩨$4913$)","expression":"((⫖↰⪸3545≹⇙⪍⫖↰⪸32B7⫸⊐⫖↰⪸1239⪛⫖↰⪸1455)⨳⩥⨓((⫖↰⪸2A31⨐⩸⫘⫖↰⪸1004)∸))⋥≓≎(⫖↰⪸22B1⋥≓≎⫖↰⪸14A7⨸⪁⫖↰⪸47A8⩚⊴⇥⫖↰⪸B18)⨽(⫖↰⪸189A+⫖↰⪸3272⫡⨏⫖↰⪸13B9⩨⫖↰⪸2A15)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17734,"operation_count":14,"complexity_ratio":1266.7142857142858,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5957,"base":12},"right_expr":{"type":"numeric_atoms","value":5611,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2061,"base":12},"right_expr":{"type":"numeric_atoms","value":2369,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4933,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3877,"base":12},"right_expr":{"type":"numeric_atoms","value":2431,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8048,"base":12},"right_expr":{"type":"numeric_atoms","value":1604,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2998,"base":12},"right_expr":{"type":"numeric_atoms","value":5558,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2301,"base":12},"right_expr":{"type":"numeric_atoms","value":4913,"base":12}}}}},"used_operators":["Qy55tPpLXF","nCS4ZIUYfx","mqXw5SEYmG","AHs5Up7iyr","uFcxV4UQCh","o20kRiQErp","fu6greOZ01","8HhzD0ZcuI","g55IO6H4Gj","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5957","layer":4},{"info":"number node, value=5611","layer":4},{"info":"compute binary expreesion, left_input=5957, right_input=5611, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2061","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=2369, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2061","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2061, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=4933","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=1732, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=3877","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=2431, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1018","layer":3},{"info":"number node, value=8048","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=8048, right_input=1604, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9773","layer":3},{"info":"compute binary expreesion, left_input=1018, right_input=-9773, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-17510","layer":2},{"info":"number node, value=2998","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=2998, right_input=5558, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8556","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=4913, 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=8556, right_input=-6, 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=43551","layer":2},{"info":"compute binary expreesion, left_input=-17510, right_input=43551, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-919929639","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-919929639, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3545≹⇙⪍⫖↰⪸32B7⫸⊐⫖↰⪸1239⪛⫖↰⪸1455)⨳⩥⨓((⫖↰⪸2A31⨐⩸⫘⫖↰⪸1004)∸))⋥≓≎(⫖↰⪸22B1⋥≓≎⫖↰⪸14A7⨸⪁⫖↰⪸47A8⩚⊴⇥⫖↰⪸B18)⨽(⫖↰⪸189A+⫖↰⪸3272⫡⨏⫖↰⪸13B9⩨⫖↰⪸2A15)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸3545≹⇙⪍⫖↰⪸32B7⫸⊐⫖↰⪸1239⪛⫖↰⪸1455)⨳⩥⨓((⫖↰⪸2A31⨐⩸⫘⫖↰⪸1004)∸))⋥≓≎(⫖↰⪸22B1⋥≓≎⫖↰⪸14A7⨸⪁⫖↰⪸47A8⩚⊴⇥⫖↰⪸B18)⨽(⫖↰⪸189A+⫖↰⪸3272⫡⨏⫖↰⪸13B9⩨⫖↰⪸2A15)","cot":[{"info":"⫖↰⪸3545≹⇙⪍⫖↰⪸32B7=NaN","layer":3},{"info":"⫖↰⪸1239⪛⫖↰⪸1455=⫖↰⪸1239","layer":3},{"info":"NaN⫸⊐⫖↰⪸1239=NaN","layer":2},{"info":"⫖↰⪸2A31⨐⩸⫘⫖↰⪸1004=NaN","layer":3},{"info":"NaN∸=⫖↰⪸129","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸129=NaN","layer":1},{"info":"⫖↰⪸22B1⋥≓≎⫖↰⪸14A7=⫖↰⪸70A","layer":3},{"info":"⫖↰⪸47A8⩚⊴⇥⫖↰⪸B18=⫖↰⪸-57A5","layer":3},{"info":"⫖↰⪸70A⨸⪁⫖↰⪸-57A5=⫖↰⪸-A172","layer":2},{"info":"⫖↰⪸189A+⫖↰⪸3272=⫖↰⪸4B50","layer":3},{"info":"⫖↰⪸13B9⩨⫖↰⪸2A15=⫖↰⪸-6","layer":3},{"info":"⫖↰⪸4B50⫡⨏⫖↰⪸-6=⫖↰⪸21253","layer":2},{"info":"⫖↰⪸-A172⨽⫖↰⪸21253=⫖↰⪸-2180BA833","layer":1},{"info":"NaN⋥≓≎⫖↰⪸-2180BA833=⫖↰⪸57","layer":0}]}
{"id":213,"expression_no_base_symbol":"∥⊫((⨞⊢$1297$)⫸⊐($3665$%$2527$)⪨≂($1151$⪛$5275$)⊴(⋗⩬⋾$1652$))","expression":"∥⊫((⨞⊢⫖↰⪸901)⫸⊐(⫖↰⪸2155%⫖↰⪸1567)⪨≂(⫖↰⪸7BB⪛⫖↰⪸3077)⊴(⋗⩬⋾⫖↰⪸B58))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4984,"operation_count":8,"complexity_ratio":623.0,"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":1297,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3665,"base":12},"right_expr":{"type":"numeric_atoms","value":2527,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1151,"base":12},"right_expr":{"type":"numeric_atoms","value":5275,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1652,"base":12}}}}},"used_operators":["P8v4zCKN1o","sdazOOVcIp","mqXw5SEYmG","xUOZtlo3hN","k8jYdgA6NY","Nsiff2A1zJ","uFcxV4UQCh","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1471","layer":3},{"info":"number node, value=3665","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=2527, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1138","layer":3},{"info":"compute binary expreesion, left_input=-1471, right_input=1138, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=5275, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1151","layer":3},{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4956","layer":3},{"info":"compute binary expreesion, left_input=1151, right_input=-4956, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫((⨞⊢⫖↰⪸901)⫸⊐(⫖↰⪸2155%⫖↰⪸1567)⪨≂(⫖↰⪸7BB⪛⫖↰⪸3077)⊴(⋗⩬⋾⫖↰⪸B58))=NaN","reverse_text":"NaN=∥⊫((⨞⊢⫖↰⪸901)⫸⊐(⫖↰⪸2155%⫖↰⪸1567)⪨≂(⫖↰⪸7BB⪛⫖↰⪸3077)⊴(⋗⩬⋾⫖↰⪸B58))","cot":[{"info":"⨞⊢⫖↰⪸901=⫖↰⪸-A27","layer":3},{"info":"⫖↰⪸2155%⫖↰⪸1567=⫖↰⪸7AA","layer":3},{"info":"⫖↰⪸-A27⫸⊐⫖↰⪸7AA=⫖↰⪸688","layer":2},{"info":"⫖↰⪸7BB⪛⫖↰⪸3077=⫖↰⪸7BB","layer":3},{"info":"⋗⩬⋾⫖↰⪸B58=⫖↰⪸-2A50","layer":3},{"info":"⫖↰⪸7BB⊴⫖↰⪸-2A50=NaN","layer":2},{"info":"⫖↰⪸688⪨≂NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"(($6993$⩚⊴⇥$4186$⇼⇔∾(⨞⊢$4081$))⇷(∂($1886$≎⊠⪸$1937$)))⨪↰⇹($2322$⇷$1295$∑⇟⊟($1158$%$3294$)⫸⊐(≉$1611$)⨓(⊙↵-$7120$))","expression":"((⫖↰⪸4069⩚⊴⇥⫖↰⪸250A⇼⇔∾(⨞⊢⫖↰⪸2441))⇷(∂(⫖↰⪸1112≎⊠⪸⫖↰⪸1155)))⨪↰⇹(⫖↰⪸1416⇷⫖↰⪸8BB∑⇟⊟(⫖↰⪸806%⫖↰⪸1AA6)⫸⊐(≉⫖↰⪸B23)⨓(⊙↵-⫖↰⪸4154))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":138610,"operation_count":14,"complexity_ratio":9900.714285714286,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6993,"base":12},"right_expr":{"type":"numeric_atoms","value":4186,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4081,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1886,"base":12},"right_expr":{"type":"numeric_atoms","value":1937,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2322,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1158,"base":12},"right_expr":{"type":"numeric_atoms","value":3294,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1611,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7120,"base":12}}}}},"used_operators":["tmPS8pqC7x","mp7IySMOzn","tifHPKVTfV","NTOWxs364D","xUOZtlo3hN","Uaa54Peajs","bJkvcejdHO","mqXw5SEYmG","U7g4x0WXJJ","k8jYdgA6NY","3ViojmjbAp","e1ybzncUwg","oWn0xqSxBt"],"dependent_operators":["rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6993","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=6993, right_input=4186, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11300","layer":3},{"info":"number node, value=4081","layer":4},{"info":"compute unary expreesion, input=4081, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4255","layer":3},{"info":"compute binary expreesion, left_input=-11300, right_input=-4255, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7045","layer":2},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1937, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=488001","layer":3},{"info":"compute unary expreesion, input=488001, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7045, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2322","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=1295, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2590","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=3294, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1158","layer":3},{"info":"compute binary expreesion, left_input=2590, right_input=1158, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2142","layer":3},{"info":"number node, value=7120","layer":4},{"info":"compute unary expreesion, input=7120, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2142, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⫖↰⪸4069⩚⊴⇥⫖↰⪸250A⇼⇔∾(⨞⊢⫖↰⪸2441))⇷(∂(⫖↰⪸1112≎⊠⪸⫖↰⪸1155)))⨪↰⇹(⫖↰⪸1416⇷⫖↰⪸8BB∑⇟⊟(⫖↰⪸806%⫖↰⪸1AA6)⫸⊐(≉⫖↰⪸B23)⨓(⊙↵-⫖↰⪸4154))=NaN","reverse_text":"NaN=((⫖↰⪸4069⩚⊴⇥⫖↰⪸250A⇼⇔∾(⨞⊢⫖↰⪸2441))⇷(∂(⫖↰⪸1112≎⊠⪸⫖↰⪸1155)))⨪↰⇹(⫖↰⪸1416⇷⫖↰⪸8BB∑⇟⊟(⫖↰⪸806%⫖↰⪸1AA6)⫸⊐(≉⫖↰⪸B23)⨓(⊙↵-⫖↰⪸4154))","cot":[{"info":"⫖↰⪸4069⩚⊴⇥⫖↰⪸250A=⫖↰⪸-6658","layer":3},{"info":"⨞⊢⫖↰⪸2441=⫖↰⪸-2567","layer":3},{"info":"⫖↰⪸-6658⇼⇔∾⫖↰⪸-2567=⫖↰⪸40B1","layer":2},{"info":"⫖↰⪸1112≎⊠⪸⫖↰⪸1155=⫖↰⪸1B64A9","layer":3},{"info":"∂⫖↰⪸1B64A9=NaN","layer":2},{"info":"⫖↰⪸40B1⇷NaN=NaN","layer":1},{"info":"⫖↰⪸1416⇷⫖↰⪸8BB=⫖↰⪸15BA","layer":3},{"info":"⫖↰⪸806%⫖↰⪸1AA6=⫖↰⪸806","layer":3},{"info":"⫖↰⪸15BA∑⇟⊟⫖↰⪸806=NaN","layer":2},{"info":"≉⫖↰⪸B23=⫖↰⪸12A6","layer":3},{"info":"⊙↵-⫖↰⪸4154=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸12A6⨓⫖↰⪸-1=⫖↰⪸-4","layer":2},{"info":"NaN⫸⊐⫖↰⪸-4=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"($4320$⨪↰⇹$1917$⨎($2873$⨵⪆$1168$)+(⨵≀≌$4122$)∼($4551$⩠))⨰(∂(↣≠⋷($4244$⪒$3973$)))","expression":"(⫖↰⪸2600⨪↰⇹⫖↰⪸1139⨎(⫖↰⪸17B5⨵⪆⫖↰⪸814)+(⨵≀≌⫖↰⪸2476)∼(⫖↰⪸2773⩠))⨰(∂(↣≠⋷(⫖↰⪸2558⪒⫖↰⪸2371)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4620,"operation_count":11,"complexity_ratio":420.0,"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":4320,"base":12},"right_expr":{"type":"numeric_atoms","value":1917,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2873,"base":12},"right_expr":{"type":"numeric_atoms","value":1168,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4122,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4551,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4244,"base":12},"right_expr":{"type":"numeric_atoms","value":3973,"base":12}}}}},"used_operators":["eewbuw0ToL","W4YGzv6Whe","rJVOvQCfKK","tmPS8pqC7x","2DQ55sFlQl","DyGG3AbaNP","srAu1WTS94","sJAwomhLZr","Uaa54Peajs","Asc51vEJeQ","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4320","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=4320, right_input=1917, 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=4320","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=1168, 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=4320, 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":"number node, value=4122","layer":4},{"info":"compute unary expreesion, input=4122, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12366","layer":3},{"info":"number node, value=4551","layer":4},{"info":"compute unary expreesion, input=4551, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12366, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=20, op_id = W4YGzv6Whe binary_op_definition= 'None', output=180","layer":1},{"info":"number node, value=4244","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=3973, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8217","layer":3},{"info":"compute unary expreesion, input=-8217, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=180, 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":"(⫖↰⪸2600⨪↰⇹⫖↰⪸1139⨎(⫖↰⪸17B5⨵⪆⫖↰⪸814)+(⨵≀≌⫖↰⪸2476)∼(⫖↰⪸2773⩠))⨰(∂(↣≠⋷(⫖↰⪸2558⪒⫖↰⪸2371)))=NaN","reverse_text":"NaN=(⫖↰⪸2600⨪↰⇹⫖↰⪸1139⨎(⫖↰⪸17B5⨵⪆⫖↰⪸814)+(⨵≀≌⫖↰⪸2476)∼(⫖↰⪸2773⩠))⨰(∂(↣≠⋷(⫖↰⪸2558⪒⫖↰⪸2371)))","cot":[{"info":"⫖↰⪸2600⨪↰⇹⫖↰⪸1139=⫖↰⪸2600","layer":3},{"info":"⫖↰⪸17B5⨵⪆⫖↰⪸814=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2600⨎⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⨵≀≌⫖↰⪸2476=⫖↰⪸-71A6","layer":3},{"info":"⫖↰⪸2773⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-71A6∼⫖↰⪸0=⫖↰⪸18","layer":2},{"info":"⫖↰⪸114+⫖↰⪸18=⫖↰⪸130","layer":1},{"info":"⫖↰⪸2558⪒⫖↰⪸2371=⫖↰⪸-4909","layer":3},{"info":"↣≠⋷⫖↰⪸-4909=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸130⨰NaN=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"((⊙↵-$6631$)⊪)⩷∴((↔$2218$)⨳⩥⨓$1376$⇷$5548$)⫸⊐(((≤/$4372$)⨳⩥⨓($2069$⊘))⩤)","expression":"((⊙↵-⫖↰⪸3A07)⊪)⩷∴((↔⫖↰⪸134A)⨳⩥⨓⫖↰⪸968⇷⫖↰⪸3264)⫸⊐(((≤/⫖↰⪸2644)⨳⩥⨓(⫖↰⪸1245⊘))⩤)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26004,"operation_count":11,"complexity_ratio":2364.0,"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":6631,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2218,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1376,"base":12},"right_expr":{"type":"numeric_atoms","value":5548,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4372,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2069,"base":12}}}}},"used_operators":["mqXw5SEYmG","9FxExcQeMw","zVYPLywUTj","oWn0xqSxBt","nCS4ZIUYfx","ruOEQAzv1W","mp7IySMOzn","Z2TMIBDE3Q","eLAdDNolq6","gu96TGCTMs"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6631","layer":4},{"info":"compute unary expreesion, input=6631, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"number node, value=2218","layer":4},{"info":"compute unary expreesion, input=2218, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1945","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=5548","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=5548, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11096","layer":3},{"info":"compute binary expreesion, left_input=-1945, right_input=11096, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=13041","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13041, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-26114","layer":1},{"info":"number node, value=4372","layer":4},{"info":"compute unary expreesion, input=4372, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3888","layer":3},{"info":"number node, value=2069","layer":4},{"info":"compute unary expreesion, input=2069, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3888, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3888","layer":2},{"info":"compute unary expreesion, input=3888, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3888","layer":1},{"info":"compute binary expreesion, left_input=-26114, right_input=-3888, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"((⊙↵-⫖↰⪸3A07)⊪)⩷∴((↔⫖↰⪸134A)⨳⩥⨓⫖↰⪸968⇷⫖↰⪸3264)⫸⊐(((≤/⫖↰⪸2644)⨳⩥⨓(⫖↰⪸1245⊘))⩤)=⫖↰⪸688","reverse_text":"⫖↰⪸688=((⊙↵-⫖↰⪸3A07)⊪)⩷∴((↔⫖↰⪸134A)⨳⩥⨓⫖↰⪸968⇷⫖↰⪸3264)⫸⊐(((≤/⫖↰⪸2644)⨳⩥⨓(⫖↰⪸1245⊘))⩤)","cot":[{"info":"⊙↵-⫖↰⪸3A07=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-1⊪=⫖↰⪸0","layer":2},{"info":"↔⫖↰⪸134A=⫖↰⪸-1161","layer":3},{"info":"⫖↰⪸968⇷⫖↰⪸3264=⫖↰⪸6508","layer":3},{"info":"⫖↰⪸-1161⨳⩥⨓⫖↰⪸6508=⫖↰⪸7669","layer":2},{"info":"⫖↰⪸0⩷∴⫖↰⪸7669=⫖↰⪸-13142","layer":1},{"info":"≤/⫖↰⪸2644=⫖↰⪸-2300","layer":3},{"info":"⫖↰⪸1245⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-2300⨳⩥⨓⫖↰⪸0=⫖↰⪸2300","layer":2},{"info":"⫖↰⪸2300⩤=⫖↰⪸-2300","layer":1},{"info":"⫖↰⪸-13142⫸⊐⫖↰⪸-2300=⫖↰⪸688","layer":0}]}
{"id":217,"expression_no_base_symbol":"(($2122$-$1098$)∼$1579$⊴$6230$)⊴((⫓⪴$1338$)⪮%⊝($6848$-$2450$))⪢(($3103$⫡⨏$1933$/$1095$⊴$5684$)⨰((⊙↵-$4048$)⨐⩸⫘($1349$⪨≂$7968$)))","expression":"((⫖↰⪸128A-⫖↰⪸776)∼⫖↰⪸AB7⊴⫖↰⪸3732)⊴((⫓⪴⫖↰⪸936)⪮%⊝(⫖↰⪸3B68-⫖↰⪸1502))⪢((⫖↰⪸1967⫡⨏⫖↰⪸1151/⫖↰⪸773⊴⫖↰⪸3358)⨰((⊙↵-⫖↰⪸2414)⨐⩸⫘(⫖↰⪸945⪨≂⫖↰⪸4740)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17419,"operation_count":15,"complexity_ratio":1161.2666666666667,"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":2122,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1579,"base":12},"right_expr":{"type":"numeric_atoms","value":6230,"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":6848,"base":12},"right_expr":{"type":"numeric_atoms","value":2450,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3103,"base":12},"right_expr":{"type":"numeric_atoms","value":1933,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":5684,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4048,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1349,"base":12},"right_expr":{"type":"numeric_atoms","value":7968,"base":12}}}}},"used_operators":["dWAJyo7jo9","Nsiff2A1zJ","DyGG3AbaNP","rysDP5nf3Z","IWmyXbctLI","eLxqMNBOBk","eewbuw0ToL","XhwjNDsVaA","QMFrweE19q","fu6greOZ01","oWn0xqSxBt","sdazOOVcIp"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","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=2122","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=1098, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1024","layer":3},{"info":"number node, value=1579","layer":4},{"info":"number node, value=6230","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=6230, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1024, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1790244","layer":3},{"info":"number node, value=6848","layer":4},{"info":"number node, value=2450","layer":4},{"info":"compute binary expreesion, left_input=6848, right_input=2450, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4398","layer":3},{"info":"compute binary expreesion, left_input=1790244, right_input=4398, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3580804","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3580804, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3103","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=1933, 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=20164","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=5684, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20164, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4048","layer":4},{"info":"compute unary expreesion, input=4048, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=7968","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=7968, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-13136","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-13136, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"((⫖↰⪸128A-⫖↰⪸776)∼⫖↰⪸AB7⊴⫖↰⪸3732)⊴((⫓⪴⫖↰⪸936)⪮%⊝(⫖↰⪸3B68-⫖↰⪸1502))⪢((⫖↰⪸1967⫡⨏⫖↰⪸1151/⫖↰⪸773⊴⫖↰⪸3358)⨰((⊙↵-⫖↰⪸2414)⨐⩸⫘(⫖↰⪸945⪨≂⫖↰⪸4740)))=NaN","reverse_text":"NaN=((⫖↰⪸128A-⫖↰⪸776)∼⫖↰⪸AB7⊴⫖↰⪸3732)⊴((⫓⪴⫖↰⪸936)⪮%⊝(⫖↰⪸3B68-⫖↰⪸1502))⪢((⫖↰⪸1967⫡⨏⫖↰⪸1151/⫖↰⪸773⊴⫖↰⪸3358)⨰((⊙↵-⫖↰⪸2414)⨐⩸⫘(⫖↰⪸945⪨≂⫖↰⪸4740)))","cot":[{"info":"⫖↰⪸128A-⫖↰⪸776=⫖↰⪸714","layer":3},{"info":"⫖↰⪸AB7⊴⫖↰⪸3732=NaN","layer":3},{"info":"⫖↰⪸714∼NaN=NaN","layer":2},{"info":"⫓⪴⫖↰⪸936=⫖↰⪸724030","layer":3},{"info":"⫖↰⪸3B68-⫖↰⪸1502=⫖↰⪸2666","layer":3},{"info":"⫖↰⪸724030⪮%⊝⫖↰⪸2666=⫖↰⪸1248284","layer":2},{"info":"NaN⊴⫖↰⪸1248284=NaN","layer":1},{"info":"⫖↰⪸1967⫡⨏⫖↰⪸1151=⫖↰⪸B804","layer":3},{"info":"⫖↰⪸773⊴⫖↰⪸3358=NaN","layer":3},{"info":"⫖↰⪸B804/NaN=NaN","layer":2},{"info":"⊙↵-⫖↰⪸2414=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸945⪨≂⫖↰⪸4740=⫖↰⪸-7728","layer":3},{"info":"⫖↰⪸-1⨐⩸⫘⫖↰⪸-7728=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"↽≂($1921$⋥≓≎$1449$↙($1888$∧))⨰(($1071$⋥≓≎$4630$)⨰($3773$⋓$4998$))","expression":"↽≂(⫖↰⪸1141⋥≓≎⫖↰⪸A09↙(⫖↰⪸1114∧))⨰((⫖↰⪸753⋥≓≎⫖↰⪸281A)⨰(⫖↰⪸2225⋓⫖↰⪸2A86))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":46,"operation_count":8,"complexity_ratio":5.75,"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":1921,"base":12},"right_expr":{"type":"numeric_atoms","value":1449,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1888,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1071,"base":12},"right_expr":{"type":"numeric_atoms","value":4630,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3773,"base":12},"right_expr":{"type":"numeric_atoms","value":4998,"base":12}}}}},"used_operators":["u6S6b8DprG","eewbuw0ToL","yyfyN0ffXY","Qy55tPpLXF","z63VuFQld9","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1921","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=1449, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1010","layer":3},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1010, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4630, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8222","layer":3},{"info":"number node, value=3773","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=4998, 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=8222, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8232","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8232, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↽≂(⫖↰⪸1141⋥≓≎⫖↰⪸A09↙(⫖↰⪸1114∧))⨰((⫖↰⪸753⋥≓≎⫖↰⪸281A)⨰(⫖↰⪸2225⋓⫖↰⪸2A86))=NaN","reverse_text":"NaN=↽≂(⫖↰⪸1141⋥≓≎⫖↰⪸A09↙(⫖↰⪸1114∧))⨰((⫖↰⪸753⋥≓≎⫖↰⪸281A)⨰(⫖↰⪸2225⋓⫖↰⪸2A86))","cot":[{"info":"⫖↰⪸1141⋥≓≎⫖↰⪸A09=⫖↰⪸702","layer":3},{"info":"⫖↰⪸1114∧=NaN","layer":3},{"info":"⫖↰⪸702↙NaN=NaN","layer":2},{"info":"⫖↰⪸753⋥≓≎⫖↰⪸281A=⫖↰⪸4912","layer":3},{"info":"⫖↰⪸2225⋓⫖↰⪸2A86=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4912⨰⫖↰⪸0=⫖↰⪸4920","layer":2},{"info":"NaN⨰⫖↰⪸4920=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"((⫛⫱⨽$3194$)⫥∨⫟($5395$+$7690$))⪮%⊝($1355$⨪↰⇹$4123$⩷∴$2994$≹⇙⪍$6300$)⊉≛↸($1789$⪨≂$1263$)↬($1373$∑⇟⊟$5891$)∑⇟⊟($1377$⋓$6933$≋⫹)","expression":"((⫛⫱⨽⫖↰⪸1A22)⫥∨⫟(⫖↰⪸3157+⫖↰⪸454A))⪮%⊝(⫖↰⪸94B⨪↰⇹⫖↰⪸2477⩷∴⫖↰⪸1896≹⇙⪍⫖↰⪸3790)⊉≛↸(⫖↰⪸1051⪨≂⫖↰⪸893)↬(⫖↰⪸965∑⇟⊟⫖↰⪸34AB)∑⇟⊟(⫖↰⪸969⋓⫖↰⪸4019≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2974,"operation_count":14,"complexity_ratio":212.42857142857142,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3194,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5395,"base":12},"right_expr":{"type":"numeric_atoms","value":7690,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1355,"base":12},"right_expr":{"type":"numeric_atoms","value":4123,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2994,"base":12},"right_expr":{"type":"numeric_atoms","value":6300,"base":12}}}},"right_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":1263,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1373,"base":12},"right_expr":{"type":"numeric_atoms","value":5891,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1377,"base":12},"right_expr":{"type":"numeric_atoms","value":6933,"base":12}}}}},"used_operators":["DZ8iAZOCBD","IWmyXbctLI","KYD54nUTWz","DlLNRPXxWL","W4YGzv6Whe","9FxExcQeMw","tmPS8pqC7x","AHs5Up7iyr","U7g4x0WXJJ","B5M0gjZbta","sdazOOVcIp","N41Kp7NANJ","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","rJVOvQCfKK","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5395","layer":4},{"info":"number node, value=7690","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=7690, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13085","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13085, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1355","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=4123, 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=1355","layer":3},{"info":"number node, value=2994","layer":4},{"info":"number node, value=6300","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=6300, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1355, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1789","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=1263, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1154","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=5891","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=5891, 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=1154, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=6933","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=6933, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫛⫱⨽⫖↰⪸1A22)⫥∨⫟(⫖↰⪸3157+⫖↰⪸454A))⪮%⊝(⫖↰⪸94B⨪↰⇹⫖↰⪸2477⩷∴⫖↰⪸1896≹⇙⪍⫖↰⪸3790)⊉≛↸(⫖↰⪸1051⪨≂⫖↰⪸893)↬(⫖↰⪸965∑⇟⊟⫖↰⪸34AB)∑⇟⊟(⫖↰⪸969⋓⫖↰⪸4019≋⫹)=NaN","reverse_text":"NaN=((⫛⫱⨽⫖↰⪸1A22)⫥∨⫟(⫖↰⪸3157+⫖↰⪸454A))⪮%⊝(⫖↰⪸94B⨪↰⇹⫖↰⪸2477⩷∴⫖↰⪸1896≹⇙⪍⫖↰⪸3790)⊉≛↸(⫖↰⪸1051⪨≂⫖↰⪸893)↬(⫖↰⪸965∑⇟⊟⫖↰⪸34AB)∑⇟⊟(⫖↰⪸969⋓⫖↰⪸4019≋⫹)","cot":[{"info":"⫛⫱⨽⫖↰⪸1A22=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3157+⫖↰⪸454A=⫖↰⪸76A5","layer":3},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸76A5=NaN","layer":2},{"info":"⫖↰⪸94B⨪↰⇹⫖↰⪸2477=⫖↰⪸94B","layer":3},{"info":"⫖↰⪸1896≹⇙⪍⫖↰⪸3790=NaN","layer":3},{"info":"⫖↰⪸94B⩷∴NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⫖↰⪸1051⪨≂⫖↰⪸893=⫖↰⪸802","layer":3},{"info":"⫖↰⪸965∑⇟⊟⫖↰⪸34AB=NaN","layer":3},{"info":"⫖↰⪸802↬NaN=NaN","layer":2},{"info":"⫖↰⪸969⋓⫖↰⪸4019=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≋⫹=⫖↰⪸0","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸0=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"(⪲⇎$1051$⪘⫢$2610$)∑⇟⊟$3273$⊴$1146$⇷($2335$⫥∨⫟$1197$)⊦⊿","expression":"(⪲⇎⫖↰⪸737⪘⫢⫖↰⪸1616)∑⇟⊟⫖↰⪸1A89⊴⫖↰⪸7B6⇷(⫖↰⪸1427⫥∨⫟⫖↰⪸839)⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3167,"operation_count":7,"complexity_ratio":452.42857142857144,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":2610,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3273,"base":12},"right_expr":{"type":"numeric_atoms","value":1146,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2335,"base":12},"right_expr":{"type":"numeric_atoms","value":1197,"base":12}}}}},"used_operators":["14qkJME0vr","U7g4x0WXJJ","XPYlsWDdGa","oacrs7FA3X","mp7IySMOzn","Nsiff2A1zJ","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=2610, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1978","layer":3},{"info":"compute unary expreesion, input=1978, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3956","layer":2},{"info":"number node, value=3273","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=1146, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2335","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=1197, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3956, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎⫖↰⪸737⪘⫢⫖↰⪸1616)∑⇟⊟⫖↰⪸1A89⊴⫖↰⪸7B6⇷(⫖↰⪸1427⫥∨⫟⫖↰⪸839)⊦⊿=NaN","reverse_text":"NaN=(⪲⇎⫖↰⪸737⪘⫢⫖↰⪸1616)∑⇟⊟⫖↰⪸1A89⊴⫖↰⪸7B6⇷(⫖↰⪸1427⫥∨⫟⫖↰⪸839)⊦⊿","cot":[{"info":"⫖↰⪸737⪘⫢⫖↰⪸1616=⫖↰⪸118A","layer":3},{"info":"⪲⇎⫖↰⪸118A=⫖↰⪸2358","layer":2},{"info":"⫖↰⪸1A89⊴⫖↰⪸7B6=NaN","layer":3},{"info":"⫖↰⪸1427⫥∨⫟⫖↰⪸839=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"⫖↰⪸2358∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"($1236$≹⇙⪍$1202$⋷$3848$⨐⩸⫘$1340$)↺($6203$⨎$6800$↙$3576$⨪↰⇹$3240$)≣⋋","expression":"(⫖↰⪸870≹⇙⪍⫖↰⪸842⋷⫖↰⪸2288⨐⩸⫘⫖↰⪸938)↺(⫖↰⪸370B⨎⫖↰⪸3B28↙⫖↰⪸20A0⨪↰⇹⫖↰⪸1A60)≣⋋","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7676,"operation_count":8,"complexity_ratio":959.5,"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":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":1202,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3848,"base":12},"right_expr":{"type":"numeric_atoms","value":1340,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6203,"base":12},"right_expr":{"type":"numeric_atoms","value":6800,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3576,"base":12},"right_expr":{"type":"numeric_atoms","value":3240,"base":12}}}}},"used_operators":["Tcnh7f0tEr","7j4O788W3g","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","yyfyN0ffXY","rJVOvQCfKK","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1236","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1202, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3848","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=1340, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=6203","layer":4},{"info":"number node, value=6800","layer":4},{"info":"compute binary expreesion, left_input=6203, right_input=6800, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6800","layer":3},{"info":"number node, value=3576","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=3576, right_input=3240, 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=3576","layer":3},{"info":"compute binary expreesion, left_input=6800, right_input=3576, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10728","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10728, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10728","layer":1},{"info":"compute unary expreesion, input=-10728, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸870≹⇙⪍⫖↰⪸842⋷⫖↰⪸2288⨐⩸⫘⫖↰⪸938)↺(⫖↰⪸370B⨎⫖↰⪸3B28↙⫖↰⪸20A0⨪↰⇹⫖↰⪸1A60)≣⋋=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸870≹⇙⪍⫖↰⪸842⋷⫖↰⪸2288⨐⩸⫘⫖↰⪸938)↺(⫖↰⪸370B⨎⫖↰⪸3B28↙⫖↰⪸20A0⨪↰⇹⫖↰⪸1A60)≣⋋","cot":[{"info":"⫖↰⪸870≹⇙⪍⫖↰⪸842=NaN","layer":3},{"info":"⫖↰⪸2288⨐⩸⫘⫖↰⪸938=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⫖↰⪸370B⨎⫖↰⪸3B28=⫖↰⪸3B28","layer":3},{"info":"⫖↰⪸20A0⨪↰⇹⫖↰⪸1A60=⫖↰⪸20A0","layer":3},{"info":"⫖↰⪸3B28↙⫖↰⪸20A0=⫖↰⪸-6260","layer":2},{"info":"NaN↺⫖↰⪸-6260=⫖↰⪸-6260","layer":1},{"info":"⫖↰⪸-6260≣⋋=⫖↰⪸0","layer":0}]}
{"id":222,"expression_no_base_symbol":"(⨰⫟⨤(⩦⩻⨪$5257$⨐⩸⫘$1170$))⋥≓≎((⩦⩻⨪$1452$⋓$6469$)+($1980$-$3221$)⫥∨⫟(⊙↵-$4663$))","expression":"(⨰⫟⨤(⩦⩻⨪⫖↰⪸3061⨐⩸⫘⫖↰⪸816))⋥≓≎((⩦⩻⨪⫖↰⪸A10⋓⫖↰⪸38B1)+(⫖↰⪸1190-⫖↰⪸1A45)⫥∨⫟(⊙↵-⫖↰⪸2847))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4916,"operation_count":10,"complexity_ratio":491.6,"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":5257,"base":12},"right_expr":{"type":"numeric_atoms","value":1170,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1452,"base":12},"right_expr":{"type":"numeric_atoms","value":6469,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1980,"base":12},"right_expr":{"type":"numeric_atoms","value":3221,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4663,"base":12}}}}},"used_operators":["Qy55tPpLXF","Tw270M8GLb","2td37pGCOC","fu6greOZ01","W4YGzv6Whe","T2fj7uvVaJ","KYD54nUTWz","rysDP5nf3Z","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5257","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=5257, right_input=1170, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1452","layer":4},{"info":"number node, value=6469","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=6469, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1980","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=3221, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1241","layer":3},{"info":"number node, value=4663","layer":4},{"info":"compute unary expreesion, input=4663, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-1241, right_input=-1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤(⩦⩻⨪⫖↰⪸3061⨐⩸⫘⫖↰⪸816))⋥≓≎((⩦⩻⨪⫖↰⪸A10⋓⫖↰⪸38B1)+(⫖↰⪸1190-⫖↰⪸1A45)⫥∨⫟(⊙↵-⫖↰⪸2847))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⨰⫟⨤(⩦⩻⨪⫖↰⪸3061⨐⩸⫘⫖↰⪸816))⋥≓≎((⩦⩻⨪⫖↰⪸A10⋓⫖↰⪸38B1)+(⫖↰⪸1190-⫖↰⪸1A45)⫥∨⫟(⊙↵-⫖↰⪸2847))","cot":[{"info":"⫖↰⪸3061⨐⩸⫘⫖↰⪸816=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸A10⋓⫖↰⪸38B1=⫖↰⪸0","layer":3},{"info":"⩦⩻⨪⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1190-⫖↰⪸1A45=⫖↰⪸-875","layer":3},{"info":"⊙↵-⫖↰⪸2847=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-875⫥∨⫟⫖↰⪸-1=NaN","layer":2},{"info":"⫖↰⪸0+NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":223,"expression_no_base_symbol":"($1011$∼$2498$⊭↱($2973$⫡⨏$3583$)⊭↱((⨵≀≌$1605$)-(⪝⪂⫅$1626$)))⋓(($1014$⪒$5102$)≧⫂∧($9387$≧⫂∧$6559$))⪛(($1119$⨳⩥⨓$4444$)≫≃)","expression":"(⫖↰⪸703∼⫖↰⪸1542⊭↱(⫖↰⪸1879⫡⨏⫖↰⪸20A7)⊭↱((⨵≀≌⫖↰⪸B19)-(⪝⪂⫅⫖↰⪸B36)))⋓((⫖↰⪸706⪒⫖↰⪸2B52)≧⫂∧(⫖↰⪸5523≧⫂∧⫖↰⪸3967))⪛((⫖↰⪸793⨳⩥⨓⫖↰⪸26A4)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":226,"operation_count":14,"complexity_ratio":16.142857142857142,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1011,"base":12},"right_expr":{"type":"numeric_atoms","value":2498,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2973,"base":12},"right_expr":{"type":"numeric_atoms","value":3583,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1605,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1626,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":5102,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9387,"base":12},"right_expr":{"type":"numeric_atoms","value":6559,"base":12}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1119,"base":12},"right_expr":{"type":"numeric_atoms","value":4444,"base":12}}}}},"used_operators":["T2fj7uvVaJ","COABgblf1C","DyGG3AbaNP","QMFrweE19q","rysDP5nf3Z","srAu1WTS94","XTarYq4gQB","uFcxV4UQCh","Ph9nP6C5qx","f6k1SAg4EE","X99M06cbEe","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=2498, 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=2973","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=3583, 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=22814","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22814, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1605","layer":4},{"info":"compute unary expreesion, input=1605, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4815","layer":3},{"info":"number node, value=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-239022","layer":3},{"info":"compute binary expreesion, left_input=-4815, right_input=-239022, op_id = rysDP5nf3Z binary_op_definition= 'None', output=234207","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=234207, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1014","layer":4},{"info":"number node, value=5102","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=5102, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6116","layer":3},{"info":"number node, value=9387","layer":4},{"info":"number node, value=6559","layer":4},{"info":"compute binary expreesion, left_input=9387, right_input=6559, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6086","layer":3},{"info":"compute binary expreesion, left_input=-6116, right_input=6086, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5613","layer":2},{"info":"number node, value=1119","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=4444, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3325","layer":3},{"info":"compute unary expreesion, input=3325, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8051","layer":2},{"info":"compute binary expreesion, left_input=5613, right_input=8051, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5613","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5613, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸703∼⫖↰⪸1542⊭↱(⫖↰⪸1879⫡⨏⫖↰⪸20A7)⊭↱((⨵≀≌⫖↰⪸B19)-(⪝⪂⫅⫖↰⪸B36)))⋓((⫖↰⪸706⪒⫖↰⪸2B52)≧⫂∧(⫖↰⪸5523≧⫂∧⫖↰⪸3967))⪛((⫖↰⪸793⨳⩥⨓⫖↰⪸26A4)≫≃)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸703∼⫖↰⪸1542⊭↱(⫖↰⪸1879⫡⨏⫖↰⪸20A7)⊭↱((⨵≀≌⫖↰⪸B19)-(⪝⪂⫅⫖↰⪸B36)))⋓((⫖↰⪸706⪒⫖↰⪸2B52)≧⫂∧(⫖↰⪸5523≧⫂∧⫖↰⪸3967))⪛((⫖↰⪸793⨳⩥⨓⫖↰⪸26A4)≫≃)","cot":[{"info":"⫖↰⪸703∼⫖↰⪸1542=NaN","layer":3},{"info":"⫖↰⪸1879⫡⨏⫖↰⪸20A7=⫖↰⪸11252","layer":3},{"info":"NaN⊭↱⫖↰⪸11252=NaN","layer":2},{"info":"⨵≀≌⫖↰⪸B19=⫖↰⪸-2953","layer":3},{"info":"⪝⪂⫅⫖↰⪸B36=⫖↰⪸-B63A6","layer":3},{"info":"⫖↰⪸-2953-⫖↰⪸-B63A6=⫖↰⪸B3653","layer":2},{"info":"NaN⊭↱⫖↰⪸B3653=NaN","layer":1},{"info":"⫖↰⪸706⪒⫖↰⪸2B52=⫖↰⪸-3658","layer":3},{"info":"⫖↰⪸5523≧⫂∧⫖↰⪸3967=⫖↰⪸3632","layer":3},{"info":"⫖↰⪸-3658≧⫂∧⫖↰⪸3632=⫖↰⪸32B9","layer":2},{"info":"⫖↰⪸793⨳⩥⨓⫖↰⪸26A4=⫖↰⪸1B11","layer":3},{"info":"⫖↰⪸1B11≫≃=⫖↰⪸47AB","layer":2},{"info":"⫖↰⪸32B9⪛⫖↰⪸47AB=⫖↰⪸32B9","layer":1},{"info":"NaN⋓⫖↰⪸32B9=⫖↰⪸0","layer":0}]}
{"id":224,"expression_no_base_symbol":"($3174$⋝⋈⪟$1086$⋝⋈⪟($3430$⩠)⋥≓≎(⊙↵-($4786$⇋≉)))+⇶⊼(↣≠⋷($4214$≹⇙⪍$7836$⋥≓≎$3736$⨰$1889$))","expression":"(⫖↰⪸1A06⋝⋈⪟⫖↰⪸766⋝⋈⪟(⫖↰⪸1B9A⩠)⋥≓≎(⊙↵-(⫖↰⪸292A⇋≉)))+⇶⊼(↣≠⋷(⫖↰⪸2532≹⇙⪍⫖↰⪸4650⋥≓≎⫖↰⪸21B4⨰⫖↰⪸1115))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14052,"operation_count":11,"complexity_ratio":1277.4545454545455,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3174,"base":12},"right_expr":{"type":"numeric_atoms","value":1086,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3430,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4786,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4214,"base":12},"right_expr":{"type":"numeric_atoms","value":7836,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3736,"base":12},"right_expr":{"type":"numeric_atoms","value":1889,"base":12}}}}},"used_operators":["TpPTUOHfaN","Qy55tPpLXF","2DDjHMKMc0","sJAwomhLZr","oWn0xqSxBt","XIabStNQrY","Asc51vEJeQ","AHs5Up7iyr","eewbuw0ToL"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3174","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=3174, right_input=1086, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3174","layer":3},{"info":"number node, value=3430","layer":4},{"info":"compute unary expreesion, input=3430, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3174, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3174","layer":2},{"info":"number node, value=4786","layer":4},{"info":"compute unary expreesion, input=4786, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9474","layer":3},{"info":"compute unary expreesion, input=9474, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=3174, right_input=-1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3143","layer":1},{"info":"number node, value=4214","layer":4},{"info":"number node, value=7836","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=7836, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3736","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=3736, right_input=1889, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1857","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1857, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3143, 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":"(⫖↰⪸1A06⋝⋈⪟⫖↰⪸766⋝⋈⪟(⫖↰⪸1B9A⩠)⋥≓≎(⊙↵-(⫖↰⪸292A⇋≉)))+⇶⊼(↣≠⋷(⫖↰⪸2532≹⇙⪍⫖↰⪸4650⋥≓≎⫖↰⪸21B4⨰⫖↰⪸1115))=NaN","reverse_text":"NaN=(⫖↰⪸1A06⋝⋈⪟⫖↰⪸766⋝⋈⪟(⫖↰⪸1B9A⩠)⋥≓≎(⊙↵-(⫖↰⪸292A⇋≉)))+⇶⊼(↣≠⋷(⫖↰⪸2532≹⇙⪍⫖↰⪸4650⋥≓≎⫖↰⪸21B4⨰⫖↰⪸1115))","cot":[{"info":"⫖↰⪸1A06⋝⋈⪟⫖↰⪸766=⫖↰⪸1A06","layer":3},{"info":"⫖↰⪸1B9A⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1A06⋝⋈⪟⫖↰⪸0=⫖↰⪸1A06","layer":2},{"info":"⫖↰⪸292A⇋≉=⫖↰⪸5596","layer":3},{"info":"⊙↵-⫖↰⪸5596=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸1A06⋥≓≎⫖↰⪸-1=⫖↰⪸-199B","layer":1},{"info":"⫖↰⪸2532≹⇙⪍⫖↰⪸4650=NaN","layer":3},{"info":"⫖↰⪸21B4⨰⫖↰⪸1115=⫖↰⪸10A9","layer":3},{"info":"NaN⋥≓≎⫖↰⪸10A9=⫖↰⪸57","layer":2},{"info":"↣≠⋷⫖↰⪸57=NaN","layer":1},{"info":"⫖↰⪸-199B+⇶⊼NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"(∂($1913$≹⇙⪍$1038$⊉≛↸$2190$∀⇚≩$2790$))≹⇙⪍(($4686$⨟⋌⩍$3056$%$2240$⨳⩥⨓$5192$)⇼⇔∾($2196$⨓$2193$)⨟⋌⩍($2158$⩷∴$1012$))","expression":"(∂(⫖↰⪸1135≹⇙⪍⫖↰⪸726⊉≛↸⫖↰⪸1326∀⇚≩⫖↰⪸1746))≹⇙⪍((⫖↰⪸2866⨟⋌⩍⫖↰⪸1928%⫖↰⪸1368⨳⩥⨓⫖↰⪸3008)⇼⇔∾(⫖↰⪸1330⨓⫖↰⪸1329)⨟⋌⩍(⫖↰⪸12BA⩷∴⫖↰⪸704))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17548,"operation_count":12,"complexity_ratio":1462.3333333333333,"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":1913,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2190,"base":12},"right_expr":{"type":"numeric_atoms","value":2790,"base":12}}}},"right_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":3056,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2240,"base":12},"right_expr":{"type":"numeric_atoms","value":5192,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2196,"base":12},"right_expr":{"type":"numeric_atoms","value":2193,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2158,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}}}}},"used_operators":["AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","LRNGc0VcxI","tifHPKVTfV","k8jYdgA6NY","rGHVDoGpnC","nCS4ZIUYfx","3ViojmjbAp","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1038, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=2790, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=4686","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=3056, 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=2240","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=5192, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2952","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2952, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2196","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=2196, right_input=2193, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2196","layer":3},{"info":"number node, value=2158","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=1012, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2260","layer":3},{"info":"compute binary expreesion, left_input=-2196, right_input=2260, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":"(∂(⫖↰⪸1135≹⇙⪍⫖↰⪸726⊉≛↸⫖↰⪸1326∀⇚≩⫖↰⪸1746))≹⇙⪍((⫖↰⪸2866⨟⋌⩍⫖↰⪸1928%⫖↰⪸1368⨳⩥⨓⫖↰⪸3008)⇼⇔∾(⫖↰⪸1330⨓⫖↰⪸1329)⨟⋌⩍(⫖↰⪸12BA⩷∴⫖↰⪸704))=NaN","reverse_text":"NaN=(∂(⫖↰⪸1135≹⇙⪍⫖↰⪸726⊉≛↸⫖↰⪸1326∀⇚≩⫖↰⪸1746))≹⇙⪍((⫖↰⪸2866⨟⋌⩍⫖↰⪸1928%⫖↰⪸1368⨳⩥⨓⫖↰⪸3008)⇼⇔∾(⫖↰⪸1330⨓⫖↰⪸1329)⨟⋌⩍(⫖↰⪸12BA⩷∴⫖↰⪸704))","cot":[{"info":"⫖↰⪸1135≹⇙⪍⫖↰⪸726=NaN","layer":3},{"info":"⫖↰⪸1326∀⇚≩⫖↰⪸1746=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸2866⨟⋌⩍⫖↰⪸1928=NaN","layer":3},{"info":"⫖↰⪸1368⨳⩥⨓⫖↰⪸3008=⫖↰⪸1860","layer":3},{"info":"NaN%⫖↰⪸1860=NaN","layer":2},{"info":"⫖↰⪸1330⨓⫖↰⪸1329=⫖↰⪸-1330","layer":3},{"info":"⫖↰⪸12BA⩷∴⫖↰⪸704=⫖↰⪸1384","layer":3},{"info":"⫖↰⪸-1330⨟⋌⩍⫖↰⪸1384=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"⇁⨣⪵(⨞⊢(($3704$⇼⇔∾$3486$)⪄(⨑⩽⪐$1026$)))","expression":"⇁⨣⪵(⨞⊢((⫖↰⪸2188⇼⇔∾⫖↰⪸2026)⪄(⨑⩽⪐⫖↰⪸716)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":5,"complexity_ratio":20.2,"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":3704,"base":12},"right_expr":{"type":"numeric_atoms","value":3486,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1026,"base":12}}}}},"used_operators":["inkyxCbjAn","xUOZtlo3hN","SUmda5xLS4","tifHPKVTfV","AF7qkfDlqP"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3704","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=3704, right_input=3486, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-218","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-753","layer":3},{"info":"compute binary expreesion, left_input=-218, right_input=-753, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4153","layer":1},{"info":"compute unary expreesion, input=-4153, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⨞⊢((⫖↰⪸2188⇼⇔∾⫖↰⪸2026)⪄(⨑⩽⪐⫖↰⪸716)))=NaN","reverse_text":"NaN=⇁⨣⪵(⨞⊢((⫖↰⪸2188⇼⇔∾⫖↰⪸2026)⪄(⨑⩽⪐⫖↰⪸716)))","cot":[{"info":"⫖↰⪸2188⇼⇔∾⫖↰⪸2026=⫖↰⪸-162","layer":3},{"info":"⨑⩽⪐⫖↰⪸716=⫖↰⪸-529","layer":3},{"info":"⫖↰⪸-162⪄⫖↰⪸-529=⫖↰⪸2377","layer":2},{"info":"⨞⊢⫖↰⪸2377=⫖↰⪸-24A1","layer":1},{"info":"⇁⨣⪵⫖↰⪸-24A1=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"((⨵≀≌$2564$)*($6318$/$1081$))∼(($5779$⋷$2565$)⨁⊸⫻)⫸⊐(($6074$⋳⪒$2095$↺$6382$⋥≓≎$1151$)⊦⊿)","expression":"((⨵≀≌⫖↰⪸1598)*(⫖↰⪸37A6/⫖↰⪸761))∼((⫖↰⪸3417⋷⫖↰⪸1599)⨁⊸⫻)⫸⊐((⫖↰⪸3622⋳⪒⫖↰⪸1267↺⫖↰⪸383A⋥≓≎⫖↰⪸7BB)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":798,"operation_count":11,"complexity_ratio":72.54545454545455,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2564,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6318,"base":12},"right_expr":{"type":"numeric_atoms","value":1081,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5779,"base":12},"right_expr":{"type":"numeric_atoms","value":2565,"base":12}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6074,"base":12},"right_expr":{"type":"numeric_atoms","value":2095,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6382,"base":12},"right_expr":{"type":"numeric_atoms","value":1151,"base":12}}}}},"used_operators":["mqXw5SEYmG","DyGG3AbaNP","9HNa5Wba9A","srAu1WTS94","XhwjNDsVaA","glklzrTFfD","23Mk6UjR3U","14qkJME0vr","7j4O788W3g","12rbrZMWeM","Qy55tPpLXF"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7692","layer":3},{"info":"number node, value=6318","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=6318, right_input=1081, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute binary expreesion, left_input=-7692, right_input=5, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-38460","layer":2},{"info":"number node, value=5779","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=5779, right_input=2565, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-649","layer":3},{"info":"compute unary expreesion, input=-649, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-1298","layer":2},{"info":"compute binary expreesion, left_input=-38460, right_input=-1298, 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=6074","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=6074, right_input=2095, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9766","layer":3},{"info":"number node, value=6382","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=6382, right_input=1151, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4047","layer":3},{"info":"compute binary expreesion, left_input=9766, right_input=-4047, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4047","layer":2},{"info":"compute unary expreesion, input=-4047, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=12062","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12062, 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":"((⨵≀≌⫖↰⪸1598)*(⫖↰⪸37A6/⫖↰⪸761))∼((⫖↰⪸3417⋷⫖↰⪸1599)⨁⊸⫻)⫸⊐((⫖↰⪸3622⋳⪒⫖↰⪸1267↺⫖↰⪸383A⋥≓≎⫖↰⪸7BB)⊦⊿)=NaN","reverse_text":"NaN=((⨵≀≌⫖↰⪸1598)*(⫖↰⪸37A6/⫖↰⪸761))∼((⫖↰⪸3417⋷⫖↰⪸1599)⨁⊸⫻)⫸⊐((⫖↰⪸3622⋳⪒⫖↰⪸1267↺⫖↰⪸383A⋥≓≎⫖↰⪸7BB)⊦⊿)","cot":[{"info":"⨵≀≌⫖↰⪸1598=⫖↰⪸-4550","layer":3},{"info":"⫖↰⪸37A6/⫖↰⪸761=⫖↰⪸5","layer":3},{"info":"⫖↰⪸-4550*⫖↰⪸5=⫖↰⪸-1A310","layer":2},{"info":"⫖↰⪸3417⋷⫖↰⪸1599=⫖↰⪸-461","layer":3},{"info":"⫖↰⪸-461⨁⊸⫻=⫖↰⪸-902","layer":2},{"info":"⫖↰⪸-1A310∼⫖↰⪸-902=NaN","layer":1},{"info":"⫖↰⪸3622⋳⪒⫖↰⪸1267=⫖↰⪸579A","layer":3},{"info":"⫖↰⪸383A⋥≓≎⫖↰⪸7BB=⫖↰⪸-2413","layer":3},{"info":"⫖↰⪸579A↺⫖↰⪸-2413=⫖↰⪸-2413","layer":2},{"info":"⫖↰⪸-2413⊦⊿=⫖↰⪸6B92","layer":1},{"info":"NaN⫸⊐⫖↰⪸6B92=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"($2046$⨰$6328$+$1531$⪒$8762$/(⊙↵-($2222$∲⫓$8035$)))⪢(⩦⩻⨪$5808$⋳⪒$1094$⋳⪒$1085$⪮%⊝$2818$)","expression":"(⫖↰⪸1226⨰⫖↰⪸37B4+⫖↰⪸A77⪒⫖↰⪸50A2/(⊙↵-(⫖↰⪸1352∲⫓⫖↰⪸4797)))⪢(⩦⩻⨪⫖↰⪸3440⋳⪒⫖↰⪸772⋳⪒⫖↰⪸765⪮%⊝⫖↰⪸176A)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17763,"operation_count":11,"complexity_ratio":1614.8181818181818,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2046,"base":12},"right_expr":{"type":"numeric_atoms","value":6328,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1531,"base":12},"right_expr":{"type":"numeric_atoms","value":8762,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2222,"base":12},"right_expr":{"type":"numeric_atoms","value":8035,"base":12}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5808,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1085,"base":12},"right_expr":{"type":"numeric_atoms","value":2818,"base":12}}}}},"used_operators":["dWAJyo7jo9","XhwjNDsVaA","W4YGzv6Whe","eewbuw0ToL","f6k1SAg4EE","oWn0xqSxBt","i8ToyICDmI","2td37pGCOC","12rbrZMWeM","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2046","layer":4},{"info":"number node, value=6328","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=6328, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4272","layer":3},{"info":"number node, value=1531","layer":4},{"info":"number node, value=8762","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=8762, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10293","layer":3},{"info":"compute binary expreesion, left_input=-4272, right_input=-10293, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-14565","layer":2},{"info":"number node, value=2222","layer":4},{"info":"number node, value=8035","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=8035, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-14565, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5808","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=5808, right_input=1094, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10235","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=2818, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2486","layer":3},{"info":"compute binary expreesion, left_input=10235, right_input=2486, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=17697","layer":2},{"info":"compute unary expreesion, input=17697, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=17697","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17697, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"(⫖↰⪸1226⨰⫖↰⪸37B4+⫖↰⪸A77⪒⫖↰⪸50A2/(⊙↵-(⫖↰⪸1352∲⫓⫖↰⪸4797)))⪢(⩦⩻⨪⫖↰⪸3440⋳⪒⫖↰⪸772⋳⪒⫖↰⪸765⪮%⊝⫖↰⪸176A)=NaN","reverse_text":"NaN=(⫖↰⪸1226⨰⫖↰⪸37B4+⫖↰⪸A77⪒⫖↰⪸50A2/(⊙↵-(⫖↰⪸1352∲⫓⫖↰⪸4797)))⪢(⩦⩻⨪⫖↰⪸3440⋳⪒⫖↰⪸772⋳⪒⫖↰⪸765⪮%⊝⫖↰⪸176A)","cot":[{"info":"⫖↰⪸1226⨰⫖↰⪸37B4=⫖↰⪸-2580","layer":3},{"info":"⫖↰⪸A77⪒⫖↰⪸50A2=⫖↰⪸-5B59","layer":3},{"info":"⫖↰⪸-2580+⫖↰⪸-5B59=⫖↰⪸-8519","layer":2},{"info":"⫖↰⪸1352∲⫓⫖↰⪸4797=⫖↰⪸0","layer":3},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-8519/⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸3440⋳⪒⫖↰⪸772=⫖↰⪸5B0B","layer":3},{"info":"⫖↰⪸765⪮%⊝⫖↰⪸176A=⫖↰⪸1532","layer":3},{"info":"⫖↰⪸5B0B⋳⪒⫖↰⪸1532=⫖↰⪸A2A9","layer":2},{"info":"⩦⩻⨪⫖↰⪸A2A9=⫖↰⪸A2A9","layer":1},{"info":"NaN⪢⫖↰⪸A2A9=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"(⫓⪴(⨞⊢$1108$∀⇚≩$1824$))-(⨈⫕$4660$)⋳⪒$1363$⋓$1017$⩨(⪝⪂⫅$1122$)⫥∨⫟($5447$⇼⇔∾$7426$)","expression":"(⫓⪴(⨞⊢⫖↰⪸784∀⇚≩⫖↰⪸1080))-(⨈⫕⫖↰⪸2844)⋳⪒⫖↰⪸957⋓⫖↰⪸709⩨(⪝⪂⫅⫖↰⪸796)⫥∨⫟(⫖↰⪸319B⇼⇔∾⫖↰⪸436A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8476,"operation_count":11,"complexity_ratio":770.5454545454545,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1108,"base":12},"right_expr":{"type":"numeric_atoms","value":1824,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4660,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1363,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1122,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5447,"base":12},"right_expr":{"type":"numeric_atoms","value":7426,"base":12}}}}},"used_operators":["rysDP5nf3Z","eLxqMNBOBk","xUOZtlo3hN","LRNGc0VcxI","2DlMacCsIx","12rbrZMWeM","megm06wKyl","T2fj7uvVaJ","KYD54nUTWz","XTarYq4gQB","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1824, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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=4660","layer":4},{"info":"compute unary expreesion, input=4660, 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=1363","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1017, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-329","layer":2},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-164934","layer":3},{"info":"number node, value=5447","layer":4},{"info":"number node, value=7426","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=7426, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1979","layer":3},{"info":"compute binary expreesion, left_input=-164934, right_input=1979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-329, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⨞⊢⫖↰⪸784∀⇚≩⫖↰⪸1080))-(⨈⫕⫖↰⪸2844)⋳⪒⫖↰⪸957⋓⫖↰⪸709⩨(⪝⪂⫅⫖↰⪸796)⫥∨⫟(⫖↰⪸319B⇼⇔∾⫖↰⪸436A)=NaN","reverse_text":"NaN=(⫓⪴(⨞⊢⫖↰⪸784∀⇚≩⫖↰⪸1080))-(⨈⫕⫖↰⪸2844)⋳⪒⫖↰⪸957⋓⫖↰⪸709⩨(⪝⪂⫅⫖↰⪸796)⫥∨⫟(⫖↰⪸319B⇼⇔∾⫖↰⪸436A)","cot":[{"info":"⫖↰⪸784∀⇚≩⫖↰⪸1080=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⨈⫕⫖↰⪸2844=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸957⋓⫖↰⪸709=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-19⋳⪒⫖↰⪸0=⫖↰⪸-235","layer":2},{"info":"⪝⪂⫅⫖↰⪸796=⫖↰⪸-7B546","layer":3},{"info":"⫖↰⪸319B⇼⇔∾⫖↰⪸436A=⫖↰⪸118B","layer":3},{"info":"⫖↰⪸-7B546⫥∨⫟⫖↰⪸118B=NaN","layer":2},{"info":"⫖↰⪸-235⩨NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"(($1338$⋷$4143$)⪮%⊝($2125$⩚⊴⇥$2100$)∲⫓($3764$⨪↰⇹$4278$⋷$1553$⋳⪒$3371$))∼(((⨰⫟⨤$8593$)⋥≓≎($3562$/$4784$))⩠)","expression":"((⫖↰⪸936⋷⫖↰⪸2493)⪮%⊝(⫖↰⪸1291⩚⊴⇥⫖↰⪸1270)∲⫓(⫖↰⪸2218⨪↰⇹⫖↰⪸2586⋷⫖↰⪸A95⋳⪒⫖↰⪸1B4B))∼(((⨰⫟⨤⫖↰⪸4B81)⋥≓≎(⫖↰⪸208A/⫖↰⪸2928))⩠)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37876,"operation_count":12,"complexity_ratio":3156.3333333333335,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1338,"base":12},"right_expr":{"type":"numeric_atoms","value":4143,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2125,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"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":4278,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1553,"base":12},"right_expr":{"type":"numeric_atoms","value":3371,"base":12}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8593,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3562,"base":12},"right_expr":{"type":"numeric_atoms","value":4784,"base":12}}}}},"used_operators":["DyGG3AbaNP","i8ToyICDmI","IWmyXbctLI","23Mk6UjR3U","NTOWxs364D","tmPS8pqC7x","12rbrZMWeM","sJAwomhLZr","Qy55tPpLXF","Tw270M8GLb","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1338","layer":4},{"info":"number node, value=4143","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=4143, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6948","layer":3},{"info":"number node, value=2125","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=2100, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4346","layer":3},{"info":"compute binary expreesion, left_input=6948, right_input=-4346, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14212","layer":2},{"info":"number node, value=3764","layer":4},{"info":"number node, value=4278","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=4278, 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=3764","layer":3},{"info":"number node, value=1553","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=3371, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-552","layer":3},{"info":"compute binary expreesion, left_input=3764, right_input=-552, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4868","layer":2},{"info":"compute binary expreesion, left_input=14212, right_input=-4868, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=14212","layer":1},{"info":"number node, value=8593","layer":4},{"info":"compute unary expreesion, input=8593, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3562","layer":4},{"info":"number node, value=4784","layer":4},{"info":"compute binary expreesion, left_input=3562, right_input=4784, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-59","layer":1},{"info":"compute binary expreesion, left_input=14212, right_input=-59, 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":"((⫖↰⪸936⋷⫖↰⪸2493)⪮%⊝(⫖↰⪸1291⩚⊴⇥⫖↰⪸1270)∲⫓(⫖↰⪸2218⨪↰⇹⫖↰⪸2586⋷⫖↰⪸A95⋳⪒⫖↰⪸1B4B))∼(((⨰⫟⨤⫖↰⪸4B81)⋥≓≎(⫖↰⪸208A/⫖↰⪸2928))⩠)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸936⋷⫖↰⪸2493)⪮%⊝(⫖↰⪸1291⩚⊴⇥⫖↰⪸1270)∲⫓(⫖↰⪸2218⨪↰⇹⫖↰⪸2586⋷⫖↰⪸A95⋳⪒⫖↰⪸1B4B))∼(((⨰⫟⨤⫖↰⪸4B81)⋥≓≎(⫖↰⪸208A/⫖↰⪸2928))⩠)","cot":[{"info":"⫖↰⪸936⋷⫖↰⪸2493=⫖↰⪸4030","layer":3},{"info":"⫖↰⪸1291⩚⊴⇥⫖↰⪸1270=⫖↰⪸-2622","layer":3},{"info":"⫖↰⪸4030⪮%⊝⫖↰⪸-2622=⫖↰⪸8284","layer":2},{"info":"⫖↰⪸2218⨪↰⇹⫖↰⪸2586=⫖↰⪸2218","layer":3},{"info":"⫖↰⪸A95⋳⪒⫖↰⪸1B4B=⫖↰⪸-3A0","layer":3},{"info":"⫖↰⪸2218⋷⫖↰⪸-3A0=⫖↰⪸-2998","layer":2},{"info":"⫖↰⪸8284∲⫓⫖↰⪸-2998=⫖↰⪸8284","layer":1},{"info":"⨰⫟⨤⫖↰⪸4B81=NaN","layer":3},{"info":"⫖↰⪸208A/⫖↰⪸2928=⫖↰⪸0","layer":3},{"info":"NaN⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57⩠=⫖↰⪸-4B","layer":1},{"info":"⫖↰⪸8284∼⫖↰⪸-4B=⫖↰⪸0","layer":0}]}
{"id":231,"expression_no_base_symbol":"$1327$∼$3092$⋥≓≎($2137$-$2516$)*($2623$↬$2447$⊭∹↮)⪨≂(⫓⪴($6344$⨰$6334$))⊭↱($6366$⨸⪁$1462$+(⨞⊢$3136$))","expression":"⫖↰⪸927∼⫖↰⪸1958⋥≓≎(⫖↰⪸12A1-⫖↰⪸1558)*(⫖↰⪸1627↬⫖↰⪸14BB⊭∹↮)⪨≂(⫓⪴(⫖↰⪸3808⨰⫖↰⪸37BA))⊭↱(⫖↰⪸3826⨸⪁⫖↰⪸A1A+(⨞⊢⫖↰⪸1994))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":82,"operation_count":13,"complexity_ratio":6.3076923076923075,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":3092,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2137,"base":12},"right_expr":{"type":"numeric_atoms","value":2516,"base":12}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2623,"base":12},"right_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":6344,"base":12},"right_expr":{"type":"numeric_atoms","value":6334,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6366,"base":12},"right_expr":{"type":"numeric_atoms","value":1462,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3136,"base":12}}}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","Qy55tPpLXF","DyGG3AbaNP","rysDP5nf3Z","xNBdhnnwKq","B5M0gjZbta","COABgblf1C","eLxqMNBOBk","eewbuw0ToL","W4YGzv6Whe","g55IO6H4Gj","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=3092, 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=2137","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=2516, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-379","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-379, 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=2623","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2623, right_input=2447, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6344","layer":4},{"info":"number node, value=6334","layer":4},{"info":"compute binary expreesion, left_input=6344, right_input=6334, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=400","layer":2},{"info":"number node, value=6366","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=6366, right_input=1462, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15656","layer":3},{"info":"number node, value=3136","layer":4},{"info":"compute unary expreesion, input=3136, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3310","layer":3},{"info":"compute binary expreesion, left_input=15656, right_input=-3310, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12346","layer":2},{"info":"compute binary expreesion, left_input=400, right_input=12346, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=23897","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23897, op_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":"⫖↰⪸927∼⫖↰⪸1958⋥≓≎(⫖↰⪸12A1-⫖↰⪸1558)*(⫖↰⪸1627↬⫖↰⪸14BB⊭∹↮)⪨≂(⫓⪴(⫖↰⪸3808⨰⫖↰⪸37BA))⊭↱(⫖↰⪸3826⨸⪁⫖↰⪸A1A+(⨞⊢⫖↰⪸1994))=NaN","reverse_text":"NaN=⫖↰⪸927∼⫖↰⪸1958⋥≓≎(⫖↰⪸12A1-⫖↰⪸1558)*(⫖↰⪸1627↬⫖↰⪸14BB⊭∹↮)⪨≂(⫓⪴(⫖↰⪸3808⨰⫖↰⪸37BA))⊭↱(⫖↰⪸3826⨸⪁⫖↰⪸A1A+(⨞⊢⫖↰⪸1994))","cot":[{"info":"⫖↰⪸927∼⫖↰⪸1958=NaN","layer":3},{"info":"⫖↰⪸12A1-⫖↰⪸1558=⫖↰⪸-277","layer":3},{"info":"NaN⋥≓≎⫖↰⪸-277=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1627↬⫖↰⪸14BB=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⫖↰⪸57*NaN=NaN","layer":1},{"info":"⫖↰⪸3808⨰⫖↰⪸37BA=⫖↰⪸18","layer":3},{"info":"⫓⪴⫖↰⪸18=⫖↰⪸294","layer":2},{"info":"⫖↰⪸3826⨸⪁⫖↰⪸A1A=⫖↰⪸9088","layer":3},{"info":"⨞⊢⫖↰⪸1994=⫖↰⪸-1ABA","layer":3},{"info":"⫖↰⪸9088+⫖↰⪸-1ABA=⫖↰⪸718A","layer":2},{"info":"⫖↰⪸294⊭↱⫖↰⪸718A=⫖↰⪸119B5","layer":1},{"info":"NaN⪨≂⫖↰⪸119B5=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"(⨵≀≌($2473$⨸⪁$3726$)≹⇙⪍($1025$/$1849$))⩨(($8137$⇷$2277$⊪)⪐)","expression":"(⨵≀≌(⫖↰⪸1521⨸⪁⫖↰⪸21A6)≹⇙⪍(⫖↰⪸715/⫖↰⪸10A1))⩨((⫖↰⪸4861⇷⫖↰⪸1399⊪)⪐)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":113971,"operation_count":8,"complexity_ratio":14246.375,"tree":{"type":"binary","operator":"⩨","left_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":3726,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1025,"base":12},"right_expr":{"type":"numeric_atoms","value":1849,"base":12}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8137,"base":12},"right_expr":{"type":"numeric_atoms","value":2277,"base":12}}}}},"used_operators":["2DlMacCsIx","srAu1WTS94","AHs5Up7iyr","g55IO6H4Gj","XhwjNDsVaA","eH2TOUuTDT","zVYPLywUTj","mp7IySMOzn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2473","layer":4},{"info":"number node, value=3726","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=3726, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12398","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1849, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=12398, 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=12398","layer":2},{"info":"compute unary expreesion, input=12398, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-37194","layer":1},{"info":"number node, value=8137","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=8137, right_input=2277, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4554","layer":3},{"info":"compute unary expreesion, input=4554, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-37194, right_input=0, 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":"(⨵≀≌(⫖↰⪸1521⨸⪁⫖↰⪸21A6)≹⇙⪍(⫖↰⪸715/⫖↰⪸10A1))⩨((⫖↰⪸4861⇷⫖↰⪸1399⊪)⪐)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨵≀≌(⫖↰⪸1521⨸⪁⫖↰⪸21A6)≹⇙⪍(⫖↰⪸715/⫖↰⪸10A1))⩨((⫖↰⪸4861⇷⫖↰⪸1399⊪)⪐)","cot":[{"info":"⫖↰⪸1521⨸⪁⫖↰⪸21A6=⫖↰⪸7212","layer":3},{"info":"⫖↰⪸715/⫖↰⪸10A1=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7212≹⇙⪍⫖↰⪸0=⫖↰⪸7212","layer":2},{"info":"⨵≀≌⫖↰⪸7212=⫖↰⪸-19636","layer":1},{"info":"⫖↰⪸4861⇷⫖↰⪸1399=⫖↰⪸2776","layer":3},{"info":"⫖↰⪸2776⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⪐=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-19636⩨⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":233,"expression_no_base_symbol":"⩦⩻⨪(↔($1398$⊦⊿))⇷(⫛⫱⨽($6539$↬$1779$))","expression":"⩦⩻⨪(↔(⫖↰⪸986⊦⊿))⇷(⫛⫱⨽(⫖↰⪸394B↬⫖↰⪸1043))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2826,"operation_count":6,"complexity_ratio":471.0,"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":1398,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6539,"base":12},"right_expr":{"type":"numeric_atoms","value":1779,"base":12}}}}},"used_operators":["2td37pGCOC","mp7IySMOzn","ruOEQAzv1W","14qkJME0vr","DlLNRPXxWL","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4273","layer":3},{"info":"compute unary expreesion, input=-4273, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=6539","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=6539, right_input=1779, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(↔(⫖↰⪸986⊦⊿))⇷(⫛⫱⨽(⫖↰⪸394B↬⫖↰⪸1043))=NaN","reverse_text":"NaN=⩦⩻⨪(↔(⫖↰⪸986⊦⊿))⇷(⫛⫱⨽(⫖↰⪸394B↬⫖↰⪸1043))","cot":[{"info":"⫖↰⪸986⊦⊿=⫖↰⪸-2581","layer":3},{"info":"↔⫖↰⪸-2581=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸394B↬⫖↰⪸1043=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⫖↰⪸-B2⇷NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"(≉($1309$⨸⪁$1109$))⨽($2058$↙$3133$⪄(↯⪼$4749$))⨵⪆($2180$⋥≓≎$4640$⩨($6906$⊭↱$3877$)⋷($3303$↪⪝)⨸⪁($1154$⋷$2292$))","expression":"(≉(⫖↰⪸911⨸⪁⫖↰⪸785))⨽(⫖↰⪸1236↙⫖↰⪸1991⪄(↯⪼⫖↰⪸28B9))⨵⪆(⫖↰⪸1318⋥≓≎⫖↰⪸2828⩨(⫖↰⪸3BB6⊭↱⫖↰⪸22B1)⋷(⫖↰⪸1AB3↪⪝)⨸⪁(⫖↰⪸802⋷⫖↰⪸13B0))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9364,"operation_count":14,"complexity_ratio":668.8571428571429,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1309,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"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":3133,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4749,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2180,"base":12},"right_expr":{"type":"numeric_atoms","value":4640,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6906,"base":12},"right_expr":{"type":"numeric_atoms","value":3877,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3303,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1154,"base":12},"right_expr":{"type":"numeric_atoms","value":2292,"base":12}}}}},"used_operators":["2DQ55sFlQl","8HhzD0ZcuI","e1ybzncUwg","g55IO6H4Gj","SUmda5xLS4","yyfyN0ffXY","8jW3W4yZS5","23Mk6UjR3U","2DlMacCsIx","Qy55tPpLXF","COABgblf1C","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1109, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4836","layer":3},{"info":"compute unary expreesion, input=4836, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5367","layer":2},{"info":"number node, value=2058","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=3133, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9399","layer":3},{"info":"number node, value=4749","layer":4},{"info":"compute unary expreesion, input=4749, 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=-9399, right_input=-21, 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=5367, right_input=3979, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-86424690","layer":1},{"info":"number node, value=2180","layer":4},{"info":"number node, value=4640","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=4640, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7133","layer":3},{"info":"number node, value=6906","layer":4},{"info":"number node, value=3877","layer":4},{"info":"compute binary expreesion, left_input=6906, right_input=3877, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6053","layer":3},{"info":"compute binary expreesion, left_input=7133, right_input=-6053, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3303","layer":4},{"info":"compute unary expreesion, input=3303, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=202084146","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2292, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3430","layer":3},{"info":"compute binary expreesion, left_input=202084146, right_input=3430, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=404175152","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=404175152, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=-86424690, right_input=-6, 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":"(≉(⫖↰⪸911⨸⪁⫖↰⪸785))⨽(⫖↰⪸1236↙⫖↰⪸1991⪄(↯⪼⫖↰⪸28B9))⨵⪆(⫖↰⪸1318⋥≓≎⫖↰⪸2828⩨(⫖↰⪸3BB6⊭↱⫖↰⪸22B1)⋷(⫖↰⪸1AB3↪⪝)⨸⪁(⫖↰⪸802⋷⫖↰⪸13B0))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(≉(⫖↰⪸911⨸⪁⫖↰⪸785))⨽(⫖↰⪸1236↙⫖↰⪸1991⪄(↯⪼⫖↰⪸28B9))⨵⪆(⫖↰⪸1318⋥≓≎⫖↰⪸2828⩨(⫖↰⪸3BB6⊭↱⫖↰⪸22B1)⋷(⫖↰⪸1AB3↪⪝)⨸⪁(⫖↰⪸802⋷⫖↰⪸13B0))","cot":[{"info":"⫖↰⪸911⨸⪁⫖↰⪸785=⫖↰⪸2970","layer":3},{"info":"≉⫖↰⪸2970=⫖↰⪸3133","layer":2},{"info":"⫖↰⪸1236↙⫖↰⪸1991=⫖↰⪸-5533","layer":3},{"info":"↯⪼⫖↰⪸28B9=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-5533⪄⫖↰⪸-19=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸3133⨽⫖↰⪸2377=⫖↰⪸-24B3A356","layer":1},{"info":"⫖↰⪸1318⋥≓≎⫖↰⪸2828=⫖↰⪸4165","layer":3},{"info":"⫖↰⪸3BB6⊭↱⫖↰⪸22B1=⫖↰⪸-3605","layer":3},{"info":"⫖↰⪸4165⩨⫖↰⪸-3605=⫖↰⪸3","layer":2},{"info":"⫖↰⪸1AB3↪⪝=⫖↰⪸57816A16","layer":3},{"info":"⫖↰⪸802⋷⫖↰⪸13B0=⫖↰⪸1B9A","layer":3},{"info":"⫖↰⪸57816A16⨸⪁⫖↰⪸1B9A=⫖↰⪸B34357A8","layer":2},{"info":"⫖↰⪸3⋷⫖↰⪸B34357A8=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸-24B3A356⨵⪆⫖↰⪸-6=⫖↰⪸114","layer":0}]}
{"id":235,"expression_no_base_symbol":"((⨵≀≌$2200$⪄$1043$)⪄(⨵≀≌$1606$)≹⇙⪍($2342$↺$3729$))⋓(($2752$∑⇟⊟$6944$)↬($1453$∲⫓$6959$)∸)","expression":"((⨵≀≌⫖↰⪸1334⪄⫖↰⪸72B)⪄(⨵≀≌⫖↰⪸B1A)≹⇙⪍(⫖↰⪸1432↺⫖↰⪸21A9))⋓((⫖↰⪸1714∑⇟⊟⫖↰⪸4028)↬(⫖↰⪸A11∲⫓⫖↰⪸403B)∸)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":326184,"operation_count":11,"complexity_ratio":29653.090909090908,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2200,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1606,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2342,"base":12},"right_expr":{"type":"numeric_atoms","value":3729,"base":12}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2752,"base":12},"right_expr":{"type":"numeric_atoms","value":6944,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1453,"base":12},"right_expr":{"type":"numeric_atoms","value":6959,"base":12}}}}},"used_operators":["T2fj7uvVaJ","SUmda5xLS4","srAu1WTS94","AHs5Up7iyr","7j4O788W3g","o20kRiQErp","B5M0gjZbta","U7g4x0WXJJ","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2200","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=1043, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-325861","layer":3},{"info":"compute unary expreesion, input=-325861, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"number node, value=1606","layer":4},{"info":"compute unary expreesion, input=1606, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4818","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=3729, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3729","layer":3},{"info":"compute binary expreesion, left_input=-4818, right_input=3729, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=inf, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=2752","layer":4},{"info":"number node, value=6944","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=6944, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1453","layer":4},{"info":"number node, value=6959","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=6959, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⨵≀≌⫖↰⪸1334⪄⫖↰⪸72B)⪄(⨵≀≌⫖↰⪸B1A)≹⇙⪍(⫖↰⪸1432↺⫖↰⪸21A9))⋓((⫖↰⪸1714∑⇟⊟⫖↰⪸4028)↬(⫖↰⪸A11∲⫓⫖↰⪸403B)∸)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⨵≀≌⫖↰⪸1334⪄⫖↰⪸72B)⪄(⨵≀≌⫖↰⪸B1A)≹⇙⪍(⫖↰⪸1432↺⫖↰⪸21A9))⋓((⫖↰⪸1714∑⇟⊟⫖↰⪸4028)↬(⫖↰⪸A11∲⫓⫖↰⪸403B)∸)","cot":[{"info":"⫖↰⪸1334⪄⫖↰⪸72B=⫖↰⪸-1386B1","layer":3},{"info":"⨵≀≌⫖↰⪸-1386B1=Inf","layer":2},{"info":"⨵≀≌⫖↰⪸B1A=⫖↰⪸-2956","layer":3},{"info":"⫖↰⪸1432↺⫖↰⪸21A9=⫖↰⪸21A9","layer":3},{"info":"⫖↰⪸-2956≹⇙⪍⫖↰⪸21A9=NaN","layer":2},{"info":"Inf⪄NaN=NaN","layer":1},{"info":"⫖↰⪸1714∑⇟⊟⫖↰⪸4028=NaN","layer":3},{"info":"⫖↰⪸A11∲⫓⫖↰⪸403B=⫖↰⪸0","layer":3},{"info":"NaN↬⫖↰⪸0=NaN","layer":2},{"info":"NaN∸=⫖↰⪸129","layer":1},{"info":"NaN⋓⫖↰⪸129=⫖↰⪸0","layer":0}]}
{"id":236,"expression_no_base_symbol":"(((⊄⩳↩$1936$)⨰$3969$∼$4154$)⩠)⊴(⇁⨣⪵($7349$/$1094$)⫸⊐($1128$/$2844$))","expression":"(((⊄⩳↩⫖↰⪸1154)⨰⫖↰⪸2369∼⫖↰⪸24A2)⩠)⊴(⇁⨣⪵(⫖↰⪸4305/⫖↰⪸772)⫸⊐(⫖↰⪸7A0/⫖↰⪸1790))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":194,"operation_count":9,"complexity_ratio":21.555555555555557,"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":1936,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3969,"base":12},"right_expr":{"type":"numeric_atoms","value":4154,"base":12}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7349,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1128,"base":12},"right_expr":{"type":"numeric_atoms","value":2844,"base":12}}}}},"used_operators":["Nsiff2A1zJ","sJAwomhLZr","eewbuw0ToL","8w2t5hMYqp","DyGG3AbaNP","inkyxCbjAn","mqXw5SEYmG","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⫖↰⪸-67","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5808","layer":3},{"info":"number node, value=3969","layer":4},{"info":"number node, value=4154","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=4154, 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=-5808, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=7349","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=7349, right_input=1094, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2844, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=6, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12","layer":2},{"info":"compute unary expreesion, input=12, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":12,"result_base":12,"text":"(((⊄⩳↩⫖↰⪸1154)⨰⫖↰⪸2369∼⫖↰⪸24A2)⩠)⊴(⇁⨣⪵(⫖↰⪸4305/⫖↰⪸772)⫸⊐(⫖↰⪸7A0/⫖↰⪸1790))=⫖↰⪸-67","reverse_text":"⫖↰⪸-67=(((⊄⩳↩⫖↰⪸1154)⨰⫖↰⪸2369∼⫖↰⪸24A2)⩠)⊴(⇁⨣⪵(⫖↰⪸4305/⫖↰⪸772)⫸⊐(⫖↰⪸7A0/⫖↰⪸1790))","cot":[{"info":"⊄⩳↩⫖↰⪸1154=⫖↰⪸-3440","layer":3},{"info":"⫖↰⪸2369∼⫖↰⪸24A2=NaN","layer":3},{"info":"⫖↰⪸-3440⨰NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫖↰⪸4305/⫖↰⪸772=⫖↰⪸6","layer":3},{"info":"⫖↰⪸7A0/⫖↰⪸1790=⫖↰⪸0","layer":3},{"info":"⫖↰⪸6⫸⊐⫖↰⪸0=⫖↰⪸10","layer":2},{"info":"⇁⨣⪵⫖↰⪸10=⫖↰⪸0","layer":1},{"info":"NaN⊴⫖↰⪸0=⫖↰⪸-67","layer":0}]}
{"id":237,"expression_no_base_symbol":"((⪲⇎$1662$)⪘⫢($1111$≎⊠⪸$5874$)⨎(⨞⊢($1055$⊭↱$2552$)))≹⇙⪍($5897$≹⇙⪍$4835$≧⫂∧($2098$⋥≓≎$4246$)∲⫓(+⊝⨔($2259$⩨$2141$)))","expression":"((⪲⇎⫖↰⪸B66)⪘⫢(⫖↰⪸787≎⊠⪸⫖↰⪸3496)⨎(⨞⊢(⫖↰⪸73B⊭↱⫖↰⪸1588)))≹⇙⪍(⫖↰⪸34B5≹⇙⪍⫖↰⪸296B≧⫂∧(⫖↰⪸126A⋥≓≎⫖↰⪸255A)∲⫓(+⊝⨔(⫖↰⪸1383⩨⫖↰⪸12A5)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":329,"operation_count":13,"complexity_ratio":25.307692307692307,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1662,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1111,"base":12},"right_expr":{"type":"numeric_atoms","value":5874,"base":12}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1055,"base":12},"right_expr":{"type":"numeric_atoms","value":2552,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5897,"base":12},"right_expr":{"type":"numeric_atoms","value":4835,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2098,"base":12},"right_expr":{"type":"numeric_atoms","value":4246,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2259,"base":12},"right_expr":{"type":"numeric_atoms","value":2141,"base":12}}}}},"used_operators":["AHs5Up7iyr","rJVOvQCfKK","oacrs7FA3X","XPYlsWDdGa","bJkvcejdHO","xUOZtlo3hN","COABgblf1C","i8ToyICDmI","Ph9nP6C5qx","Qy55tPpLXF","DhbWaqg5eL","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-1A05","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3324","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=5874","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=5874, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=287276","layer":3},{"info":"compute binary expreesion, left_input=3324, right_input=287276, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6524","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2552, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2999","layer":3},{"info":"compute unary expreesion, input=2999, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3173","layer":2},{"info":"compute binary expreesion, left_input=6524, right_input=-3173, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3173","layer":1},{"info":"number node, value=5897","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=5897, right_input=4835, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2098","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=4246, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6427","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6427, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5954","layer":2},{"info":"number node, value=2259","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=2141, 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 = 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=5954, right_input=1522, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3173, 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=-3173","layer":0}],"base":12,"result_base":12,"text":"((⪲⇎⫖↰⪸B66)⪘⫢(⫖↰⪸787≎⊠⪸⫖↰⪸3496)⨎(⨞⊢(⫖↰⪸73B⊭↱⫖↰⪸1588)))≹⇙⪍(⫖↰⪸34B5≹⇙⪍⫖↰⪸296B≧⫂∧(⫖↰⪸126A⋥≓≎⫖↰⪸255A)∲⫓(+⊝⨔(⫖↰⪸1383⩨⫖↰⪸12A5)))=⫖↰⪸-1A05","reverse_text":"⫖↰⪸-1A05=((⪲⇎⫖↰⪸B66)⪘⫢(⫖↰⪸787≎⊠⪸⫖↰⪸3496)⨎(⨞⊢(⫖↰⪸73B⊭↱⫖↰⪸1588)))≹⇙⪍(⫖↰⪸34B5≹⇙⪍⫖↰⪸296B≧⫂∧(⫖↰⪸126A⋥≓≎⫖↰⪸255A)∲⫓(+⊝⨔(⫖↰⪸1383⩨⫖↰⪸12A5)))","cot":[{"info":"⪲⇎⫖↰⪸B66=⫖↰⪸1B10","layer":3},{"info":"⫖↰⪸787≎⊠⪸⫖↰⪸3496=⫖↰⪸11A2B8","layer":3},{"info":"⫖↰⪸1B10⪘⫢⫖↰⪸11A2B8=⫖↰⪸3938","layer":2},{"info":"⫖↰⪸73B⊭↱⫖↰⪸1588=⫖↰⪸189B","layer":3},{"info":"⨞⊢⫖↰⪸189B=⫖↰⪸-1A05","layer":2},{"info":"⫖↰⪸3938⨎⫖↰⪸-1A05=⫖↰⪸-1A05","layer":1},{"info":"⫖↰⪸34B5≹⇙⪍⫖↰⪸296B=NaN","layer":3},{"info":"⫖↰⪸126A⋥≓≎⫖↰⪸255A=⫖↰⪸3877","layer":3},{"info":"NaN≧⫂∧⫖↰⪸3877=⫖↰⪸3542","layer":2},{"info":"⫖↰⪸1383⩨⫖↰⪸12A5=⫖↰⪸0","layer":3},{"info":"+⊝⨔⫖↰⪸0=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸3542∲⫓⫖↰⪸A6A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1A05≹⇙⪍⫖↰⪸0=⫖↰⪸-1A05","layer":0}]}
{"id":238,"expression_no_base_symbol":"((∂($3316$⋝⋈⪟$1750$))⪐)↛⩡⫤","expression":"((∂(⫖↰⪸1B04⋝⋈⪟⫖↰⪸101A))⪐)↛⩡⫤","highest_n_order":5,"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":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3316,"base":12},"right_expr":{"type":"numeric_atoms","value":1750,"base":12}}}}},"used_operators":["FU0Cs4j7VP","eH2TOUuTDT","Uaa54Peajs","2DDjHMKMc0"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3316","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=1750, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3316","layer":3},{"info":"compute unary expreesion, input=3316, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"((∂(⫖↰⪸1B04⋝⋈⪟⫖↰⪸101A))⪐)↛⩡⫤=NaN","reverse_text":"NaN=((∂(⫖↰⪸1B04⋝⋈⪟⫖↰⪸101A))⪐)↛⩡⫤","cot":[{"info":"⫖↰⪸1B04⋝⋈⪟⫖↰⪸101A=⫖↰⪸1B04","layer":3},{"info":"∂⫖↰⪸1B04=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(+⊝⨔(⩦⩻⨪$2056$))⪮%⊝($1113$⩨$2133$+(↩$1403$))⨐⩸⫘((⨰⫟⨤$3729$⪛$5313$)⨸⪁($3126$*$1129$+($1226$⋷$3534$)))","expression":"(+⊝⨔(⩦⩻⨪⫖↰⪸1234))⪮%⊝(⫖↰⪸789⩨⫖↰⪸1299+(↩⫖↰⪸98B))⨐⩸⫘((⨰⫟⨤⫖↰⪸21A9⪛⫖↰⪸30A9)⨸⪁(⫖↰⪸1986*⫖↰⪸7A1+(⫖↰⪸862⋷⫖↰⪸2066)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15290,"operation_count":13,"complexity_ratio":1176.1538461538462,"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":2056,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1113,"base":12},"right_expr":{"type":"numeric_atoms","value":2133,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1403,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3729,"base":12},"right_expr":{"type":"numeric_atoms","value":5313,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3126,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1226,"base":12},"right_expr":{"type":"numeric_atoms","value":3534,"base":12}}}}},"used_operators":["fu6greOZ01","IWmyXbctLI","DhbWaqg5eL","2td37pGCOC","W4YGzv6Whe","2DlMacCsIx","jLgFTUHLKL","g55IO6H4Gj","Tw270M8GLb","uFcxV4UQCh","9HNa5Wba9A","23Mk6UjR3U"],"dependent_operators":["3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2056","layer":3},{"info":"compute unary expreesion, input=2056, 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=1113","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=2133, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8444","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-8444, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8447","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-8447, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3360","layer":1},{"info":"number node, value=3729","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=3729, right_input=5313, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3729","layer":3},{"info":"compute unary expreesion, input=3729, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3126","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=1129, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3529254","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=3534, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5842","layer":3},{"info":"compute binary expreesion, left_input=3529254, right_input=5842, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3535096","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3535096, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3360, 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":"(+⊝⨔(⩦⩻⨪⫖↰⪸1234))⪮%⊝(⫖↰⪸789⩨⫖↰⪸1299+(↩⫖↰⪸98B))⨐⩸⫘((⨰⫟⨤⫖↰⪸21A9⪛⫖↰⪸30A9)⨸⪁(⫖↰⪸1986*⫖↰⪸7A1+(⫖↰⪸862⋷⫖↰⪸2066)))=NaN","reverse_text":"NaN=(+⊝⨔(⩦⩻⨪⫖↰⪸1234))⪮%⊝(⫖↰⪸789⩨⫖↰⪸1299+(↩⫖↰⪸98B))⨐⩸⫘((⨰⫟⨤⫖↰⪸21A9⪛⫖↰⪸30A9)⨸⪁(⫖↰⪸1986*⫖↰⪸7A1+(⫖↰⪸862⋷⫖↰⪸2066)))","cot":[{"info":"⩦⩻⨪⫖↰⪸1234=⫖↰⪸1234","layer":3},{"info":"+⊝⨔⫖↰⪸1234=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸789⩨⫖↰⪸1299=⫖↰⪸-3","layer":3},{"info":"↩⫖↰⪸98B=⫖↰⪸-4A78","layer":3},{"info":"⫖↰⪸-3+⫖↰⪸-4A78=⫖↰⪸-4A7B","layer":2},{"info":"⫖↰⪸A6A⪮%⊝⫖↰⪸-4A7B=⫖↰⪸1B40","layer":1},{"info":"⫖↰⪸21A9⪛⫖↰⪸30A9=⫖↰⪸21A9","layer":3},{"info":"⨰⫟⨤⫖↰⪸21A9=NaN","layer":2},{"info":"⫖↰⪸1986*⫖↰⪸7A1=⫖↰⪸1222486","layer":3},{"info":"⫖↰⪸862⋷⫖↰⪸2066=⫖↰⪸346A","layer":3},{"info":"⫖↰⪸1222486+⫖↰⪸346A=⫖↰⪸1225934","layer":2},{"info":"NaN⨸⪁⫖↰⪸1225934=NaN","layer":1},{"info":"⫖↰⪸1B40⨐⩸⫘NaN=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"⨈⫕(($2148$⪒$7404$)≭$8182$⪘⫢$1744$≣⋋)","expression":"⨈⫕((⫖↰⪸12B0⪒⫖↰⪸4350)≭⫖↰⪸489A⪘⫢⫖↰⪸1014≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":409,"operation_count":5,"complexity_ratio":81.8,"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":2148,"base":12},"right_expr":{"type":"numeric_atoms","value":7404,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8182,"base":12},"right_expr":{"type":"numeric_atoms","value":1744,"base":12}}}}},"used_operators":["megm06wKyl","Tcnh7f0tEr","rxpJgHHUmx","f6k1SAg4EE","oacrs7FA3X"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2148","layer":4},{"info":"number node, value=7404","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=7404, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9552","layer":3},{"info":"number node, value=8182","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=8182, right_input=1744, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16240","layer":3},{"info":"compute binary expreesion, left_input=-9552, right_input=16240, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = 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":"⨈⫕((⫖↰⪸12B0⪒⫖↰⪸4350)≭⫖↰⪸489A⪘⫢⫖↰⪸1014≣⋋)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕((⫖↰⪸12B0⪒⫖↰⪸4350)≭⫖↰⪸489A⪘⫢⫖↰⪸1014≣⋋)","cot":[{"info":"⫖↰⪸12B0⪒⫖↰⪸4350=⫖↰⪸-5640","layer":3},{"info":"⫖↰⪸489A⪘⫢⫖↰⪸1014=⫖↰⪸9494","layer":3},{"info":"⫖↰⪸-5640≭⫖↰⪸9494=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":241,"expression_no_base_symbol":"((($3976$%$7648$)⪠⩆⊳)-($1885$/$4227$)⋓(⩦⩻⨪$1674$))⊭∹↮","expression":"(((⫖↰⪸2374%⫖↰⪸4514)⪠⩆⊳)-(⫖↰⪸1111/⫖↰⪸2543)⋓(⩦⩻⨪⫖↰⪸B76))⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26,"operation_count":7,"complexity_ratio":3.7142857142857144,"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":3976,"base":12},"right_expr":{"type":"numeric_atoms","value":7648,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1885,"base":12},"right_expr":{"type":"numeric_atoms","value":4227,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1674,"base":12}}}}},"used_operators":["xNBdhnnwKq","rysDP5nf3Z","JLbD19bQDL","k8jYdgA6NY","T2fj7uvVaJ","XhwjNDsVaA","2td37pGCOC"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3976","layer":4},{"info":"number node, value=7648","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=7648, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3976","layer":3},{"info":"compute unary expreesion, input=3976, 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=1885","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=4227, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1674","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1674, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2374%⫖↰⪸4514)⪠⩆⊳)-(⫖↰⪸1111/⫖↰⪸2543)⋓(⩦⩻⨪⫖↰⪸B76))⊭∹↮=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((⫖↰⪸2374%⫖↰⪸4514)⪠⩆⊳)-(⫖↰⪸1111/⫖↰⪸2543)⋓(⩦⩻⨪⫖↰⪸B76))⊭∹↮","cot":[{"info":"⫖↰⪸2374%⫖↰⪸4514=⫖↰⪸2374","layer":3},{"info":"⫖↰⪸2374⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1111/⫖↰⪸2543=⫖↰⪸0","layer":3},{"info":"⩦⩻⨪⫖↰⪸B76=⫖↰⪸B76","layer":3},{"info":"⫖↰⪸0⋓⫖↰⪸B76=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0-⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊭∹↮=⫖↰⪸0","layer":0}]}
{"id":242,"expression_no_base_symbol":"(⊄⩳↩($1373$⪨≂$2736$))⨟⋌⩍((⇁⨣⪵$4380$)⨓($1196$⫸⊐$8496$))⊉≛↸(($5178$⨎$4082$)≹⇙⪍($5529$/$1512$)⪒$6249$∼$1017$*(-$3949$))","expression":"(⊄⩳↩(⫖↰⪸965⪨≂⫖↰⪸1700))⨟⋌⩍((⇁⨣⪵⫖↰⪸2650)⨓(⫖↰⪸838⫸⊐⫖↰⪸4B00))⊉≛↸((⫖↰⪸2BB6⨎⫖↰⪸2442)≹⇙⪍(⫖↰⪸3249/⫖↰⪸A60)⪒⫖↰⪸3749∼⫖↰⪸709*(-⫖↰⪸2351))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37442,"operation_count":14,"complexity_ratio":2674.4285714285716,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1373,"base":12},"right_expr":{"type":"numeric_atoms","value":2736,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4380,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1196,"base":12},"right_expr":{"type":"numeric_atoms","value":8496,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5178,"base":12},"right_expr":{"type":"numeric_atoms","value":4082,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5529,"base":12},"right_expr":{"type":"numeric_atoms","value":1512,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6249,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3949,"base":12}}}}},"used_operators":["DZ8iAZOCBD","rGHVDoGpnC","8w2t5hMYqp","sdazOOVcIp","3ViojmjbAp","inkyxCbjAn","mqXw5SEYmG","f6k1SAg4EE","AHs5Up7iyr","rJVOvQCfKK","XhwjNDsVaA","9HNa5Wba9A","DyGG3AbaNP","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1373","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=2736, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2624","layer":3},{"info":"compute unary expreesion, input=-2624, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=7872","layer":2},{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=8496","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=8496, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=33859, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-33862","layer":2},{"info":"compute binary expreesion, left_input=7872, right_input=-33862, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5178","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=5178, right_input=4082, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4082","layer":3},{"info":"number node, value=5529","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=5529, right_input=1512, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=4082, right_input=3, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6249","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=6249, right_input=1017, 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=3949","layer":4},{"info":"compute unary expreesion, input=3949, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3949","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3949, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⊄⩳↩(⫖↰⪸965⪨≂⫖↰⪸1700))⨟⋌⩍((⇁⨣⪵⫖↰⪸2650)⨓(⫖↰⪸838⫸⊐⫖↰⪸4B00))⊉≛↸((⫖↰⪸2BB6⨎⫖↰⪸2442)≹⇙⪍(⫖↰⪸3249/⫖↰⪸A60)⪒⫖↰⪸3749∼⫖↰⪸709*(-⫖↰⪸2351))=NaN","reverse_text":"NaN=(⊄⩳↩(⫖↰⪸965⪨≂⫖↰⪸1700))⨟⋌⩍((⇁⨣⪵⫖↰⪸2650)⨓(⫖↰⪸838⫸⊐⫖↰⪸4B00))⊉≛↸((⫖↰⪸2BB6⨎⫖↰⪸2442)≹⇙⪍(⫖↰⪸3249/⫖↰⪸A60)⪒⫖↰⪸3749∼⫖↰⪸709*(-⫖↰⪸2351))","cot":[{"info":"⫖↰⪸965⪨≂⫖↰⪸1700=⫖↰⪸-1628","layer":3},{"info":"⊄⩳↩⫖↰⪸-1628=⫖↰⪸4680","layer":2},{"info":"⇁⨣⪵⫖↰⪸2650=NaN","layer":3},{"info":"⫖↰⪸838⫸⊐⫖↰⪸4B00=⫖↰⪸17717","layer":3},{"info":"NaN⨓⫖↰⪸17717=⫖↰⪸-1771A","layer":2},{"info":"⫖↰⪸4680⨟⋌⩍⫖↰⪸-1771A=NaN","layer":1},{"info":"⫖↰⪸2BB6⨎⫖↰⪸2442=⫖↰⪸2442","layer":3},{"info":"⫖↰⪸3249/⫖↰⪸A60=⫖↰⪸3","layer":3},{"info":"⫖↰⪸2442≹⇙⪍⫖↰⪸3=NaN","layer":2},{"info":"⫖↰⪸3749∼⫖↰⪸709=NaN","layer":3},{"info":"-⫖↰⪸2351=⫖↰⪸-2351","layer":3},{"info":"NaN*⫖↰⪸-2351=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"($1041$∼$5435$≎⊠⪸($2067$↙$1540$))⪛(($1528$+⇶⊼$1715$)↬($1995$≫≃))*(($4570$⨓$7613$)∧)≧⫂∧($3015$⊉≛↸$3731$)⪮%⊝($2151$⋷$2558$)","expression":"(⫖↰⪸729∼⫖↰⪸318B≎⊠⪸(⫖↰⪸1243↙⫖↰⪸A84))⪛((⫖↰⪸A74+⇶⊼⫖↰⪸BAB)↬(⫖↰⪸11A3≫≃))*((⫖↰⪸278A⨓⫖↰⪸44A5)∧)≧⫂∧(⫖↰⪸18B3⊉≛↸⫖↰⪸21AB)⪮%⊝(⫖↰⪸12B3⋷⫖↰⪸1592)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9232,"operation_count":14,"complexity_ratio":659.4285714285714,"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":1041,"base":12},"right_expr":{"type":"numeric_atoms","value":5435,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2067,"base":12},"right_expr":{"type":"numeric_atoms","value":1540,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1528,"base":12},"right_expr":{"type":"numeric_atoms","value":1715,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1995,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4570,"base":12},"right_expr":{"type":"numeric_atoms","value":7613,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3015,"base":12},"right_expr":{"type":"numeric_atoms","value":3731,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2151,"base":12},"right_expr":{"type":"numeric_atoms","value":2558,"base":12}}}}},"used_operators":["9HNa5Wba9A","uFcxV4UQCh","bJkvcejdHO","DyGG3AbaNP","yyfyN0ffXY","B5M0gjZbta","TpPTUOHfaN","X99M06cbEe","Ph9nP6C5qx","z63VuFQld9","3ViojmjbAp","IWmyXbctLI","DZ8iAZOCBD","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=5435","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=5435, 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=2067","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1540, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4620","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4620, 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=1528","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=1715, 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=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5391","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5391, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=4570","layer":4},{"info":"number node, value=7613","layer":4},{"info":"compute binary expreesion, left_input=4570, right_input=7613, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7616","layer":3},{"info":"compute unary expreesion, input=-7616, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=3015","layer":4},{"info":"number node, value=3731","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=3731, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6030","layer":3},{"info":"number node, value=2151","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=2558, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2965","layer":3},{"info":"compute binary expreesion, left_input=6030, right_input=2965, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12376","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12376, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11903","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11903, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸729∼⫖↰⪸318B≎⊠⪸(⫖↰⪸1243↙⫖↰⪸A84))⪛((⫖↰⪸A74+⇶⊼⫖↰⪸BAB)↬(⫖↰⪸11A3≫≃))*((⫖↰⪸278A⨓⫖↰⪸44A5)∧)≧⫂∧(⫖↰⪸18B3⊉≛↸⫖↰⪸21AB)⪮%⊝(⫖↰⪸12B3⋷⫖↰⪸1592)=NaN","reverse_text":"NaN=(⫖↰⪸729∼⫖↰⪸318B≎⊠⪸(⫖↰⪸1243↙⫖↰⪸A84))⪛((⫖↰⪸A74+⇶⊼⫖↰⪸BAB)↬(⫖↰⪸11A3≫≃))*((⫖↰⪸278A⨓⫖↰⪸44A5)∧)≧⫂∧(⫖↰⪸18B3⊉≛↸⫖↰⪸21AB)⪮%⊝(⫖↰⪸12B3⋷⫖↰⪸1592)","cot":[{"info":"⫖↰⪸729∼⫖↰⪸318B=NaN","layer":3},{"info":"⫖↰⪸1243↙⫖↰⪸A84=⫖↰⪸-2810","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸-2810=⫖↰⪸57","layer":2},{"info":"⫖↰⪸A74+⇶⊼⫖↰⪸BAB=NaN","layer":3},{"info":"⫖↰⪸11A3≫≃=⫖↰⪸3153","layer":3},{"info":"NaN↬⫖↰⪸3153=NaN","layer":2},{"info":"⫖↰⪸57⪛NaN=NaN","layer":1},{"info":"⫖↰⪸278A⨓⫖↰⪸44A5=⫖↰⪸-44A8","layer":3},{"info":"⫖↰⪸-44A8∧=⫖↰⪸0","layer":2},{"info":"⫖↰⪸18B3⊉≛↸⫖↰⪸21AB=⫖↰⪸35A6","layer":3},{"info":"⫖↰⪸12B3⋷⫖↰⪸1592=⫖↰⪸1871","layer":3},{"info":"⫖↰⪸35A6⪮%⊝⫖↰⪸1871=⫖↰⪸71B4","layer":2},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸71B4=⫖↰⪸6A7B","layer":1},{"info":"NaN*⫖↰⪸6A7B=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"((($5636$%$5937$)⩤)∧)∼(-(⋗⩬⋾$1450$))≹⇙⪍((⨰⫟⨤$1028$)⨎($5823$⊠≄⫣))","expression":"(((⫖↰⪸3318%⫖↰⪸3529)⩤)∧)∼(-(⋗⩬⋾⫖↰⪸A0A))≹⇙⪍((⨰⫟⨤⫖↰⪸718)⨎(⫖↰⪸3453⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3294,"operation_count":10,"complexity_ratio":329.4,"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":5636,"base":12},"right_expr":{"type":"numeric_atoms","value":5937,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1450,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1028,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5823,"base":12}}}}},"used_operators":["DyGG3AbaNP","z63VuFQld9","Z2TMIBDE3Q","k8jYdgA6NY","AHs5Up7iyr","t8gj7n24qd","DpFCA1CohY","rJVOvQCfKK","Tw270M8GLb","DIvbN7qnHd"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5636","layer":4},{"info":"number node, value=5937","layer":4},{"info":"compute binary expreesion, left_input=5636, right_input=5937, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5636","layer":3},{"info":"compute unary expreesion, input=5636, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5636","layer":2},{"info":"compute unary expreesion, input=-5636, 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=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4350","layer":3},{"info":"compute unary expreesion, input=-4350, op_id = t8gj7n24qd, unary_op_definition = 'None', output=4350","layer":2},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5823","layer":4},{"info":"compute unary expreesion, input=5823, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4350, 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=4350","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4350, 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":"(((⫖↰⪸3318%⫖↰⪸3529)⩤)∧)∼(-(⋗⩬⋾⫖↰⪸A0A))≹⇙⪍((⨰⫟⨤⫖↰⪸718)⨎(⫖↰⪸3453⊠≄⫣))=NaN","reverse_text":"NaN=(((⫖↰⪸3318%⫖↰⪸3529)⩤)∧)∼(-(⋗⩬⋾⫖↰⪸A0A))≹⇙⪍((⨰⫟⨤⫖↰⪸718)⨎(⫖↰⪸3453⊠≄⫣))","cot":[{"info":"⫖↰⪸3318%⫖↰⪸3529=⫖↰⪸3318","layer":3},{"info":"⫖↰⪸3318⩤=⫖↰⪸-3318","layer":2},{"info":"⫖↰⪸-3318∧=⫖↰⪸0","layer":1},{"info":"⋗⩬⋾⫖↰⪸A0A=⫖↰⪸-2626","layer":3},{"info":"-⫖↰⪸-2626=⫖↰⪸2626","layer":2},{"info":"⨰⫟⨤⫖↰⪸718=NaN","layer":3},{"info":"⫖↰⪸3453⊠≄⫣=⫖↰⪸0","layer":3},{"info":"NaN⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2626≹⇙⪍⫖↰⪸0=⫖↰⪸2626","layer":1},{"info":"⫖↰⪸0∼⫖↰⪸2626=NaN","layer":0}]}
{"id":245,"expression_no_base_symbol":"↔(($1215$⋝⋈⪟$1002$↺$3524$⨟⋌⩍$1691$)⫥∨⫟(⩦⩻⨪($1456$≦≮≮)))","expression":"↔((⫖↰⪸853⋝⋈⪟⫖↰⪸6B6↺⫖↰⪸2058⨟⋌⩍⫖↰⪸B8B)⫥∨⫟(⩦⩻⨪(⫖↰⪸A14≦≮≮)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":188,"operation_count":7,"complexity_ratio":26.857142857142858,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1215,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3524,"base":12},"right_expr":{"type":"numeric_atoms","value":1691,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1456,"base":12}}}}},"used_operators":["ruOEQAzv1W","KYD54nUTWz","7j4O788W3g","2DDjHMKMc0","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=1002, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1215","layer":3},{"info":"number node, value=3524","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=1691, 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=1215, 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=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4368","layer":3},{"info":"compute unary expreesion, input=-4368, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4368","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4368, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"↔((⫖↰⪸853⋝⋈⪟⫖↰⪸6B6↺⫖↰⪸2058⨟⋌⩍⫖↰⪸B8B)⫥∨⫟(⩦⩻⨪(⫖↰⪸A14≦≮≮)))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔((⫖↰⪸853⋝⋈⪟⫖↰⪸6B6↺⫖↰⪸2058⨟⋌⩍⫖↰⪸B8B)⫥∨⫟(⩦⩻⨪(⫖↰⪸A14≦≮≮)))","cot":[{"info":"⫖↰⪸853⋝⋈⪟⫖↰⪸6B6=⫖↰⪸853","layer":3},{"info":"⫖↰⪸2058⨟⋌⩍⫖↰⪸B8B=NaN","layer":3},{"info":"⫖↰⪸853↺NaN=NaN","layer":2},{"info":"⫖↰⪸A14≦≮≮=⫖↰⪸-2640","layer":3},{"info":"⩦⩻⨪⫖↰⪸-2640=⫖↰⪸-2640","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸-2640=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":246,"expression_no_base_symbol":"($4202$⇷$2189$⨽$2698$≭$1431$)⨰(($1251$⨵⪆$2348$)⋝⋈⪟($5109$⩤))⪄(⋗⩬⋾($5919$↬$1813$⪒$5395$⪢$2188$))","expression":"(⫖↰⪸2522⇷⫖↰⪸1325⨽⫖↰⪸168A≭⫖↰⪸9B3)⨰((⫖↰⪸883⨵⪆⫖↰⪸1438)⋝⋈⪟(⫖↰⪸2B59⩤))⪄(⋗⩬⋾(⫖↰⪸3513↬⫖↰⪸1071⪒⫖↰⪸3157⪢⫖↰⪸1324))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66913,"operation_count":12,"complexity_ratio":5576.083333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4202,"base":12},"right_expr":{"type":"numeric_atoms","value":2189,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2698,"base":12},"right_expr":{"type":"numeric_atoms","value":1431,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1251,"base":12},"right_expr":{"type":"numeric_atoms","value":2348,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5109,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5919,"base":12},"right_expr":{"type":"numeric_atoms","value":1813,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5395,"base":12},"right_expr":{"type":"numeric_atoms","value":2188,"base":12}}}}},"used_operators":["SUmda5xLS4","eewbuw0ToL","8HhzD0ZcuI","mp7IySMOzn","rxpJgHHUmx","2DDjHMKMc0","2DQ55sFlQl","Z2TMIBDE3Q","DpFCA1CohY","f6k1SAg4EE","B5M0gjZbta","dWAJyo7jo9"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4202","layer":4},{"info":"number node, value=2189","layer":4},{"info":"compute binary expreesion, left_input=4202, right_input=2189, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4378","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=1431, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4378, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1251","layer":4},{"info":"number node, value=2348","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=2348, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5109","layer":4},{"info":"compute unary expreesion, input=5109, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5109","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5109, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5919","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=5919, right_input=1813, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5395","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=2188, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫖↰⪸2522⇷⫖↰⪸1325⨽⫖↰⪸168A≭⫖↰⪸9B3)⨰((⫖↰⪸883⨵⪆⫖↰⪸1438)⋝⋈⪟(⫖↰⪸2B59⩤))⪄(⋗⩬⋾(⫖↰⪸3513↬⫖↰⪸1071⪒⫖↰⪸3157⪢⫖↰⪸1324))=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸2522⇷⫖↰⪸1325⨽⫖↰⪸168A≭⫖↰⪸9B3)⨰((⫖↰⪸883⨵⪆⫖↰⪸1438)⋝⋈⪟(⫖↰⪸2B59⩤))⪄(⋗⩬⋾(⫖↰⪸3513↬⫖↰⪸1071⪒⫖↰⪸3157⪢⫖↰⪸1324))","cot":[{"info":"⫖↰⪸2522⇷⫖↰⪸1325=⫖↰⪸264A","layer":3},{"info":"⫖↰⪸168A≭⫖↰⪸9B3=NaN","layer":3},{"info":"⫖↰⪸264A⨽NaN=NaN","layer":2},{"info":"⫖↰⪸883⨵⪆⫖↰⪸1438=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2B59⩤=⫖↰⪸-2B59","layer":3},{"info":"⫖↰⪸114⋝⋈⪟⫖↰⪸-2B59=⫖↰⪸114","layer":2},{"info":"NaN⨰⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸3513↬⫖↰⪸1071=NaN","layer":3},{"info":"⫖↰⪸3157⪢⫖↰⪸1324=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":247,"expression_no_base_symbol":"(∥⊫(⫛⫱⨽$2443$)⨐⩸⫘($2616$*$5780$))∼(↩($1351$↺$1892$)⇷($2119$⨎$1451$))","expression":"(∥⊫(⫛⫱⨽⫖↰⪸14B7)⨐⩸⫘(⫖↰⪸1620*⫖↰⪸3418))∼(↩(⫖↰⪸947↺⫖↰⪸1118)⇷(⫖↰⪸1287⨎⫖↰⪸A0B))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30558,"operation_count":9,"complexity_ratio":3395.3333333333335,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2443,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2616,"base":12},"right_expr":{"type":"numeric_atoms","value":5780,"base":12}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1351,"base":12},"right_expr":{"type":"numeric_atoms","value":1892,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2119,"base":12},"right_expr":{"type":"numeric_atoms","value":1451,"base":12}}}}},"used_operators":["DyGG3AbaNP","P8v4zCKN1o","fu6greOZ01","DlLNRPXxWL","9HNa5Wba9A","jLgFTUHLKL","mp7IySMOzn","7j4O788W3g","rJVOvQCfKK"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2443","layer":4},{"info":"compute unary expreesion, input=2443, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2616","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=2616, right_input=5780, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15120480","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15120480, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1351","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1892, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1892","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1451, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1451","layer":3},{"info":"compute binary expreesion, left_input=1892, right_input=1451, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2902","layer":2},{"info":"compute unary expreesion, input=2902, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20436","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20436, 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":"(∥⊫(⫛⫱⨽⫖↰⪸14B7)⨐⩸⫘(⫖↰⪸1620*⫖↰⪸3418))∼(↩(⫖↰⪸947↺⫖↰⪸1118)⇷(⫖↰⪸1287⨎⫖↰⪸A0B))=NaN","reverse_text":"NaN=(∥⊫(⫛⫱⨽⫖↰⪸14B7)⨐⩸⫘(⫖↰⪸1620*⫖↰⪸3418))∼(↩(⫖↰⪸947↺⫖↰⪸1118)⇷(⫖↰⪸1287⨎⫖↰⪸A0B))","cot":[{"info":"⫛⫱⨽⫖↰⪸14B7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1620*⫖↰⪸3418=⫖↰⪸5092340","layer":3},{"info":"⫖↰⪸0⨐⩸⫘⫖↰⪸5092340=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫖↰⪸947↺⫖↰⪸1118=⫖↰⪸1118","layer":3},{"info":"⫖↰⪸1287⨎⫖↰⪸A0B=⫖↰⪸A0B","layer":3},{"info":"⫖↰⪸1118⇷⫖↰⪸A0B=⫖↰⪸181A","layer":2},{"info":"↩⫖↰⪸181A=⫖↰⪸-B9B0","layer":1},{"info":"NaN∼⫖↰⪸-B9B0=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"((⨈⫕(⫛⫱⨽$1366$))↙(↽≂$1200$∀⇚≩$1501$))⨟⋌⩍(($1761$⋥≓≎$1185$-$3094$∑⇟⊟$1271$)⨐⩸⫘$6768$⊴$7672$⨎($1100$⪠⩆⊳))","expression":"((⨈⫕(⫛⫱⨽⫖↰⪸95A))↙(↽≂⫖↰⪸840∀⇚≩⫖↰⪸A51))⨟⋌⩍((⫖↰⪸1029⋥≓≎⫖↰⪸829-⫖↰⪸195A∑⇟⊟⫖↰⪸89B)⨐⩸⫘⫖↰⪸3B00⊴⫖↰⪸4534⨎(⫖↰⪸778⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17905,"operation_count":13,"complexity_ratio":1377.3076923076924,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1366,"base":12}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1200,"base":12},"right_expr":{"type":"numeric_atoms","value":1501,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1761,"base":12},"right_expr":{"type":"numeric_atoms","value":1185,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3094,"base":12},"right_expr":{"type":"numeric_atoms","value":1271,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6768,"base":12},"right_expr":{"type":"numeric_atoms","value":7672,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1100,"base":12}}}}},"used_operators":["rGHVDoGpnC","yyfyN0ffXY","megm06wKyl","DlLNRPXxWL","u6S6b8DprG","LRNGc0VcxI","fu6greOZ01","rysDP5nf3Z","Qy55tPpLXF","U7g4x0WXJJ","rJVOvQCfKK","Nsiff2A1zJ","JLbD19bQDL"],"dependent_operators":["Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1366","layer":4},{"info":"compute unary expreesion, input=1366, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=1200, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":1},{"info":"number node, value=1761","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1185, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=642","layer":3},{"info":"number node, value=3094","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=1271, 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=642, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6768","layer":4},{"info":"number node, value=7672","layer":4},{"info":"compute binary expreesion, left_input=6768, right_input=7672, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"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 binary expreesion, left_input=-21, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨈⫕(⫛⫱⨽⫖↰⪸95A))↙(↽≂⫖↰⪸840∀⇚≩⫖↰⪸A51))⨟⋌⩍((⫖↰⪸1029⋥≓≎⫖↰⪸829-⫖↰⪸195A∑⇟⊟⫖↰⪸89B)⨐⩸⫘⫖↰⪸3B00⊴⫖↰⪸4534⨎(⫖↰⪸778⪠⩆⊳))=NaN","reverse_text":"NaN=((⨈⫕(⫛⫱⨽⫖↰⪸95A))↙(↽≂⫖↰⪸840∀⇚≩⫖↰⪸A51))⨟⋌⩍((⫖↰⪸1029⋥≓≎⫖↰⪸829-⫖↰⪸195A∑⇟⊟⫖↰⪸89B)⨐⩸⫘⫖↰⪸3B00⊴⫖↰⪸4534⨎(⫖↰⪸778⪠⩆⊳))","cot":[{"info":"⫛⫱⨽⫖↰⪸95A=⫖↰⪸0","layer":3},{"info":"⨈⫕⫖↰⪸0=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸840∀⇚≩⫖↰⪸A51=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫖↰⪸-19↙NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸1029⋥≓≎⫖↰⪸829=⫖↰⪸456","layer":3},{"info":"⫖↰⪸195A∑⇟⊟⫖↰⪸89B=NaN","layer":3},{"info":"⫖↰⪸456-NaN=NaN","layer":2},{"info":"⫖↰⪸3B00⊴⫖↰⪸4534=NaN","layer":3},{"info":"⫖↰⪸778⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"NaN⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN⨐⩸⫘⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸-19⨟⋌⩍NaN=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"($6806$∼$7895$↙$1564$⇷$6852$)↬($2667$⨰$1049$+($4132$⩠))*(($1634$⪛$1107$/$1301$⨰$3054$)⊭↱($4501$≎⊠⪸$1254$∲⫓$1803$⨸⪁$1340$))","expression":"(⫖↰⪸3B32∼⫖↰⪸469B↙⫖↰⪸AA4⇷⫖↰⪸3B70)↬(⫖↰⪸1663⨰⫖↰⪸735+(⫖↰⪸2484⩠))*((⫖↰⪸B42⪛⫖↰⪸783/⫖↰⪸905⨰⫖↰⪸1926)⊭↱(⫖↰⪸2731≎⊠⪸⫖↰⪸886∲⫓⫖↰⪸1063⨸⪁⫖↰⪸938))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22357,"operation_count":15,"complexity_ratio":1490.4666666666667,"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":6806,"base":12},"right_expr":{"type":"numeric_atoms","value":7895,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1564,"base":12},"right_expr":{"type":"numeric_atoms","value":6852,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2667,"base":12},"right_expr":{"type":"numeric_atoms","value":1049,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4132,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1634,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1301,"base":12},"right_expr":{"type":"numeric_atoms","value":3054,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4501,"base":12},"right_expr":{"type":"numeric_atoms","value":1254,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1803,"base":12},"right_expr":{"type":"numeric_atoms","value":1340,"base":12}}}}},"used_operators":["9HNa5Wba9A","B5M0gjZbta","yyfyN0ffXY","DyGG3AbaNP","mp7IySMOzn","W4YGzv6Whe","eewbuw0ToL","sJAwomhLZr","COABgblf1C","XhwjNDsVaA","uFcxV4UQCh","i8ToyICDmI","bJkvcejdHO","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6806","layer":4},{"info":"number node, value=7895","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=7895, 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=1564","layer":4},{"info":"number node, value=6852","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=6852, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13704, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2667","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=1049, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1628","layer":3},{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1628, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1628","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1628, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1634","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=1107, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=527","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=3054, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1743","layer":3},{"info":"compute binary expreesion, left_input=527, right_input=-1743, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=4501","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=1254, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1165286","layer":3},{"info":"number node, value=1803","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=1340, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6286","layer":3},{"info":"compute binary expreesion, left_input=1165286, right_input=6286, 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=-1, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3B32∼⫖↰⪸469B↙⫖↰⪸AA4⇷⫖↰⪸3B70)↬(⫖↰⪸1663⨰⫖↰⪸735+(⫖↰⪸2484⩠))*((⫖↰⪸B42⪛⫖↰⪸783/⫖↰⪸905⨰⫖↰⪸1926)⊭↱(⫖↰⪸2731≎⊠⪸⫖↰⪸886∲⫓⫖↰⪸1063⨸⪁⫖↰⪸938))=NaN","reverse_text":"NaN=(⫖↰⪸3B32∼⫖↰⪸469B↙⫖↰⪸AA4⇷⫖↰⪸3B70)↬(⫖↰⪸1663⨰⫖↰⪸735+(⫖↰⪸2484⩠))*((⫖↰⪸B42⪛⫖↰⪸783/⫖↰⪸905⨰⫖↰⪸1926)⊭↱(⫖↰⪸2731≎⊠⪸⫖↰⪸886∲⫓⫖↰⪸1063⨸⪁⫖↰⪸938))","cot":[{"info":"⫖↰⪸3B32∼⫖↰⪸469B=NaN","layer":3},{"info":"⫖↰⪸AA4⇷⫖↰⪸3B70=⫖↰⪸7B20","layer":3},{"info":"NaN↙⫖↰⪸7B20=NaN","layer":2},{"info":"⫖↰⪸1663⨰⫖↰⪸735=⫖↰⪸B38","layer":3},{"info":"⫖↰⪸2484⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B38+⫖↰⪸0=⫖↰⪸B38","layer":2},{"info":"NaN↬⫖↰⪸B38=NaN","layer":1},{"info":"⫖↰⪸B42⪛⫖↰⪸783=⫖↰⪸37B","layer":3},{"info":"⫖↰⪸905⨰⫖↰⪸1926=⫖↰⪸-1013","layer":3},{"info":"⫖↰⪸37B/⫖↰⪸-1013=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸2731≎⊠⪸⫖↰⪸886=⫖↰⪸482432","layer":3},{"info":"⫖↰⪸1063⨸⪁⫖↰⪸938=⫖↰⪸377A","layer":3},{"info":"⫖↰⪸482432∲⫓⫖↰⪸377A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-1⊭↱⫖↰⪸0=⫖↰⪸7","layer":1},{"info":"NaN*⫖↰⪸7=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"($1106$≣⋋)⨽(⪲⇎$1866$)⊉≛↸($6285$⇋≉)⪄(↯⪼$1542$)⊭↱((⨈⫕$1338$⫥∨⫟$1152$)⪒($3750$⨽$3984$⋷$1178$⨪↰⇹$2423$))","expression":"(⫖↰⪸782≣⋋)⨽(⪲⇎⫖↰⪸10B6)⊉≛↸(⫖↰⪸3779⇋≉)⪄(↯⪼⫖↰⪸A86)⊭↱((⨈⫕⫖↰⪸936⫥∨⫟⫖↰⪸800)⪒(⫖↰⪸2206⨽⫖↰⪸2380⋷⫖↰⪸822⨪↰⇹⫖↰⪸149B))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6147,"operation_count":14,"complexity_ratio":439.07142857142856,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1106,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1866,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6285,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1542,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1338,"base":12},"right_expr":{"type":"numeric_atoms","value":1152,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3750,"base":12},"right_expr":{"type":"numeric_atoms","value":3984,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1178,"base":12},"right_expr":{"type":"numeric_atoms","value":2423,"base":12}}}}},"used_operators":["COABgblf1C","DZ8iAZOCBD","8HhzD0ZcuI","Tcnh7f0tEr","XPYlsWDdGa","SUmda5xLS4","XIabStNQrY","8jW3W4yZS5","f6k1SAg4EE","megm06wKyl","KYD54nUTWz","23Mk6UjR3U","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫖↰⪸-4991876B","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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1866","layer":4},{"info":"compute unary expreesion, input=1866, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3732","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3732, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9882","layer":2},{"info":"number node, value=6285","layer":4},{"info":"compute unary expreesion, input=6285, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=12472","layer":3},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, 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=12472, right_input=-21, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1841861","layer":2},{"info":"compute binary expreesion, left_input=-9882, right_input=-1841861, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1841861","layer":1},{"info":"number node, value=1338","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=1152, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=3750","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=3984, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-42198138","layer":3},{"info":"number node, value=1178","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=2423, 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=1178","layer":3},{"info":"compute binary expreesion, left_input=-42198138, right_input=1178, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=84396276","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=84396276, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-84396255","layer":1},{"info":"compute binary expreesion, left_input=1841861, right_input=-84396255, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-172476227","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸782≣⋋)⨽(⪲⇎⫖↰⪸10B6)⊉≛↸(⫖↰⪸3779⇋≉)⪄(↯⪼⫖↰⪸A86)⊭↱((⨈⫕⫖↰⪸936⫥∨⫟⫖↰⪸800)⪒(⫖↰⪸2206⨽⫖↰⪸2380⋷⫖↰⪸822⨪↰⇹⫖↰⪸149B))=⫖↰⪸-4991876B","reverse_text":"⫖↰⪸-4991876B=(⫖↰⪸782≣⋋)⨽(⪲⇎⫖↰⪸10B6)⊉≛↸(⫖↰⪸3779⇋≉)⪄(↯⪼⫖↰⪸A86)⊭↱((⨈⫕⫖↰⪸936⫥∨⫟⫖↰⪸800)⪒(⫖↰⪸2206⨽⫖↰⪸2380⋷⫖↰⪸822⨪↰⇹⫖↰⪸149B))","cot":[{"info":"⫖↰⪸782≣⋋=⫖↰⪸0","layer":3},{"info":"⪲⇎⫖↰⪸10B6=⫖↰⪸21B0","layer":3},{"info":"⫖↰⪸0⨽⫖↰⪸21B0=⫖↰⪸-5876","layer":2},{"info":"⫖↰⪸3779⇋≉=⫖↰⪸7274","layer":3},{"info":"↯⪼⫖↰⪸A86=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸7274⪄⫖↰⪸-19=⫖↰⪸-749A85","layer":2},{"info":"⫖↰⪸-5876⊉≛↸⫖↰⪸-749A85=⫖↰⪸749A85","layer":1},{"info":"⫖↰⪸936⫥∨⫟⫖↰⪸800=NaN","layer":3},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸2206⨽⫖↰⪸2380=⫖↰⪸-12170276","layer":3},{"info":"⫖↰⪸822⨪↰⇹⫖↰⪸149B=⫖↰⪸822","layer":3},{"info":"⫖↰⪸-12170276⋷⫖↰⪸822=⫖↰⪸24320530","layer":2},{"info":"⫖↰⪸-19⪒⫖↰⪸24320530=⫖↰⪸-24320513","layer":1},{"info":"⫖↰⪸749A85⊭↱⫖↰⪸-24320513=⫖↰⪸-4991876B","layer":0}]}
{"id":251,"expression_no_base_symbol":"(($7871$⨎$2352$)⋝⋈⪟(⋗⩬⋾$1898$)+$5603$⪢$4039$⪄($2308$⨵⪆$5626$))⇼⇔∾(⪝⪂⫅(($4268$⩠)⇼⇔∾$1001$⫸⊐$1360$))","expression":"((⫖↰⪸467B⨎⫖↰⪸1440)⋝⋈⪟(⋗⩬⋾⫖↰⪸1122)+⫖↰⪸32AB⪢⫖↰⪸2407⪄(⫖↰⪸1404⨵⪆⫖↰⪸330A))⇼⇔∾(⪝⪂⫅((⫖↰⪸2578⩠)⇼⇔∾⫖↰⪸6B5⫸⊐⫖↰⪸954))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15310,"operation_count":12,"complexity_ratio":1275.8333333333333,"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":7871,"base":12},"right_expr":{"type":"numeric_atoms","value":2352,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1898,"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":4039,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2308,"base":12},"right_expr":{"type":"numeric_atoms","value":5626,"base":12}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4268,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":1360,"base":12}}}}},"used_operators":["tifHPKVTfV","W4YGzv6Whe","2DDjHMKMc0","rJVOvQCfKK","DpFCA1CohY","SUmda5xLS4","dWAJyo7jo9","2DQ55sFlQl","XTarYq4gQB","sJAwomhLZr","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-31B984","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7871","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=7871, right_input=2352, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2352","layer":3},{"info":"number node, value=1898","layer":4},{"info":"compute unary expreesion, input=1898, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5694","layer":3},{"info":"compute binary expreesion, left_input=2352, right_input=-5694, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2352","layer":2},{"info":"number node, value=5603","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=5603, 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":"number node, value=2308","layer":4},{"info":"number node, value=5626","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=5626, 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 = 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=2352, right_input=3979, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6331","layer":1},{"info":"number node, value=4268","layer":4},{"info":"compute unary expreesion, input=4268, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1360, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5315","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5315, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5315","layer":2},{"info":"compute unary expreesion, input=5315, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-781305","layer":1},{"info":"compute binary expreesion, left_input=6331, right_input=-781305, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-787636","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸467B⨎⫖↰⪸1440)⋝⋈⪟(⋗⩬⋾⫖↰⪸1122)+⫖↰⪸32AB⪢⫖↰⪸2407⪄(⫖↰⪸1404⨵⪆⫖↰⪸330A))⇼⇔∾(⪝⪂⫅((⫖↰⪸2578⩠)⇼⇔∾⫖↰⪸6B5⫸⊐⫖↰⪸954))=⫖↰⪸-31B984","reverse_text":"⫖↰⪸-31B984=((⫖↰⪸467B⨎⫖↰⪸1440)⋝⋈⪟(⋗⩬⋾⫖↰⪸1122)+⫖↰⪸32AB⪢⫖↰⪸2407⪄(⫖↰⪸1404⨵⪆⫖↰⪸330A))⇼⇔∾(⪝⪂⫅((⫖↰⪸2578⩠)⇼⇔∾⫖↰⪸6B5⫸⊐⫖↰⪸954))","cot":[{"info":"⫖↰⪸467B⨎⫖↰⪸1440=⫖↰⪸1440","layer":3},{"info":"⋗⩬⋾⫖↰⪸1122=⫖↰⪸-3366","layer":3},{"info":"⫖↰⪸1440⋝⋈⪟⫖↰⪸-3366=⫖↰⪸1440","layer":2},{"info":"⫖↰⪸32AB⪢⫖↰⪸2407=NaN","layer":3},{"info":"⫖↰⪸1404⨵⪆⫖↰⪸330A=⫖↰⪸114","layer":3},{"info":"NaN⪄⫖↰⪸114=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸1440+⫖↰⪸2377=⫖↰⪸37B7","layer":1},{"info":"⫖↰⪸2578⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸6B5⫸⊐⫖↰⪸954=⫖↰⪸30AB","layer":3},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸30AB=⫖↰⪸30AB","layer":2},{"info":"⪝⪂⫅⫖↰⪸30AB=⫖↰⪸-318189","layer":1},{"info":"⫖↰⪸37B7⇼⇔∾⫖↰⪸-318189=⫖↰⪸-31B984","layer":0}]}
{"id":252,"expression_no_base_symbol":"((($7177$⋫)%(⊙↵-$7322$))⨸⪁($4343$⫸⊐$1409$)∑⇟⊟($8453$%$1374$))⊴(⋗⩬⋾((⩦⩻⨪$2606$)⋷$5600$⪛$1767$))","expression":"(((⫖↰⪸41A1⋫)%(⊙↵-⫖↰⪸42A2))⨸⪁(⫖↰⪸261B⫸⊐⫖↰⪸995)∑⇟⊟(⫖↰⪸4A85%⫖↰⪸966))⊴(⋗⩬⋾((⩦⩻⨪⫖↰⪸1612)⋷⫖↰⪸32A8⪛⫖↰⪸1033))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":72200,"operation_count":12,"complexity_ratio":6016.666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7177,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7322,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4343,"base":12},"right_expr":{"type":"numeric_atoms","value":1409,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8453,"base":12},"right_expr":{"type":"numeric_atoms","value":1374,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2606,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5600,"base":12},"right_expr":{"type":"numeric_atoms","value":1767,"base":12}}}}},"used_operators":["Nsiff2A1zJ","g55IO6H4Gj","k8jYdgA6NY","JL8yIekQnl","oWn0xqSxBt","U7g4x0WXJJ","mqXw5SEYmG","DpFCA1CohY","23Mk6UjR3U","2td37pGCOC","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7177","layer":4},{"info":"compute unary expreesion, input=7177, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7177","layer":3},{"info":"number node, value=7322","layer":4},{"info":"compute unary expreesion, input=7322, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=7177, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=4343","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=4343, right_input=1409, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5511","layer":3},{"info":"number node, value=8453","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=8453, right_input=1374, op_id = k8jYdgA6NY binary_op_definition= 'None', output=209","layer":3},{"info":"compute binary expreesion, left_input=5511, right_input=209, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2606","layer":3},{"info":"number node, value=5600","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=5600, right_input=1767, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=299","layer":3},{"info":"compute binary expreesion, left_input=2606, right_input=299, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2008","layer":2},{"info":"compute unary expreesion, input=-2008, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=6024","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6024, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸41A1⋫)%(⊙↵-⫖↰⪸42A2))⨸⪁(⫖↰⪸261B⫸⊐⫖↰⪸995)∑⇟⊟(⫖↰⪸4A85%⫖↰⪸966))⊴(⋗⩬⋾((⩦⩻⨪⫖↰⪸1612)⋷⫖↰⪸32A8⪛⫖↰⪸1033))=NaN","reverse_text":"NaN=(((⫖↰⪸41A1⋫)%(⊙↵-⫖↰⪸42A2))⨸⪁(⫖↰⪸261B⫸⊐⫖↰⪸995)∑⇟⊟(⫖↰⪸4A85%⫖↰⪸966))⊴(⋗⩬⋾((⩦⩻⨪⫖↰⪸1612)⋷⫖↰⪸32A8⪛⫖↰⪸1033))","cot":[{"info":"⫖↰⪸41A1⋫=⫖↰⪸41A1","layer":3},{"info":"⊙↵-⫖↰⪸42A2=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸41A1%⫖↰⪸-1=⫖↰⪸0","layer":2},{"info":"⫖↰⪸261B⫸⊐⫖↰⪸995=⫖↰⪸3233","layer":3},{"info":"⫖↰⪸4A85%⫖↰⪸966=⫖↰⪸155","layer":3},{"info":"⫖↰⪸3233∑⇟⊟⫖↰⪸155=NaN","layer":2},{"info":"⫖↰⪸0⨸⪁NaN=NaN","layer":1},{"info":"⩦⩻⨪⫖↰⪸1612=⫖↰⪸1612","layer":3},{"info":"⫖↰⪸32A8⪛⫖↰⪸1033=⫖↰⪸20B","layer":3},{"info":"⫖↰⪸1612⋷⫖↰⪸20B=⫖↰⪸-11B4","layer":2},{"info":"⋗⩬⋾⫖↰⪸-11B4=⫖↰⪸35A0","layer":1},{"info":"NaN⊴⫖↰⪸35A0=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"$3235$⫥∨⫟$6311$⋷$2244$⨽$1595$⋷($2970$⩨$1453$)↙(⋗⩬⋾$2099$)/(↔($4639$≭$1167$))↬($1138$∑⇟⊟$3142$-(⨑⩽⪐$3854$))","expression":"⫖↰⪸1A57⫥∨⫟⫖↰⪸379B⋷⫖↰⪸1370⨽⫖↰⪸B0B⋷(⫖↰⪸1876⩨⫖↰⪸A11)↙(⋗⩬⋾⫖↰⪸126B)/(↔(⫖↰⪸2827≭⫖↰⪸813))↬(⫖↰⪸7AA∑⇟⊟⫖↰⪸199A-(⨑⩽⪐⫖↰⪸2292))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2450,"operation_count":14,"complexity_ratio":175.0,"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":3235,"base":12},"right_expr":{"type":"numeric_atoms","value":6311,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2244,"base":12},"right_expr":{"type":"numeric_atoms","value":1595,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2970,"base":12},"right_expr":{"type":"numeric_atoms","value":1453,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2099,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4639,"base":12},"right_expr":{"type":"numeric_atoms","value":1167,"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":3142,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3854,"base":12}}}}},"used_operators":["XhwjNDsVaA","23Mk6UjR3U","KYD54nUTWz","8HhzD0ZcuI","yyfyN0ffXY","2DlMacCsIx","DpFCA1CohY","B5M0gjZbta","ruOEQAzv1W","rxpJgHHUmx","rysDP5nf3Z","U7g4x0WXJJ","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3235","layer":4},{"info":"number node, value=6311","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=6311, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2244","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1595, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15110079","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15110079, 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=2970","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=1453, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2099","layer":4},{"info":"compute unary expreesion, input=2099, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6297","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6297, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=4639","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=1167, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=3142, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3854","layer":4},{"info":"compute unary expreesion, input=3854, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3581","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3581, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1A57⫥∨⫟⫖↰⪸379B⋷⫖↰⪸1370⨽⫖↰⪸B0B⋷(⫖↰⪸1876⩨⫖↰⪸A11)↙(⋗⩬⋾⫖↰⪸126B)/(↔(⫖↰⪸2827≭⫖↰⪸813))↬(⫖↰⪸7AA∑⇟⊟⫖↰⪸199A-(⨑⩽⪐⫖↰⪸2292))=NaN","reverse_text":"NaN=⫖↰⪸1A57⫥∨⫟⫖↰⪸379B⋷⫖↰⪸1370⨽⫖↰⪸B0B⋷(⫖↰⪸1876⩨⫖↰⪸A11)↙(⋗⩬⋾⫖↰⪸126B)/(↔(⫖↰⪸2827≭⫖↰⪸813))↬(⫖↰⪸7AA∑⇟⊟⫖↰⪸199A-(⨑⩽⪐⫖↰⪸2292))","cot":[{"info":"⫖↰⪸1A57⫥∨⫟⫖↰⪸379B=NaN","layer":3},{"info":"⫖↰⪸1370⨽⫖↰⪸B0B=⫖↰⪸-5088313","layer":3},{"info":"NaN⋷⫖↰⪸-5088313=NaN","layer":2},{"info":"⫖↰⪸1876⩨⫖↰⪸A11=⫖↰⪸0","layer":3},{"info":"⋗⩬⋾⫖↰⪸126B=⫖↰⪸-3789","layer":3},{"info":"⫖↰⪸0↙⫖↰⪸-3789=⫖↰⪸0","layer":2},{"info":"NaN⋷⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2827≭⫖↰⪸813=NaN","layer":3},{"info":"↔NaN=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸7AA∑⇟⊟⫖↰⪸199A=NaN","layer":3},{"info":"⨑⩽⪐⫖↰⪸2292=⫖↰⪸-20A5","layer":3},{"info":"NaN-⫖↰⪸-20A5=NaN","layer":2},{"info":"⫖↰⪸-B2↬NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"(($4466$∑⇟⊟$3834$⫌⩹⨱)⫸⊐(∥⊫$5680$⨰$1106$))≭($4682$⨵⪆$5397$)≹⇙⪍($2433$↺$2300$)≹⇙⪍(($1224$/$1130$)⋳⪒($4794$/$1283$))","expression":"((⫖↰⪸2702∑⇟⊟⫖↰⪸2276⫌⩹⨱)⫸⊐(∥⊫⫖↰⪸3354⨰⫖↰⪸782))≭(⫖↰⪸2862⨵⪆⫖↰⪸3159)≹⇙⪍(⫖↰⪸14A9↺⫖↰⪸13B8)≹⇙⪍((⫖↰⪸860/⫖↰⪸7A2)⋳⪒(⫖↰⪸2936/⫖↰⪸8AB))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":82982,"operation_count":13,"complexity_ratio":6383.2307692307695,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4466,"base":12},"right_expr":{"type":"numeric_atoms","value":3834,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5680,"base":12},"right_expr":{"type":"numeric_atoms","value":1106,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4682,"base":12},"right_expr":{"type":"numeric_atoms","value":5397,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2433,"base":12},"right_expr":{"type":"numeric_atoms","value":2300,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1224,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4794,"base":12},"right_expr":{"type":"numeric_atoms","value":1283,"base":12}}}}},"used_operators":["rxpJgHHUmx","mqXw5SEYmG","EBcxylXtPf","U7g4x0WXJJ","P8v4zCKN1o","eewbuw0ToL","AHs5Up7iyr","2DQ55sFlQl","7j4O788W3g","12rbrZMWeM","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4466","layer":4},{"info":"number node, value=3834","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=3834, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=5680","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=5680, right_input=1106, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4584","layer":3},{"info":"compute unary expreesion, input=4584, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5452","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5452, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=4682","layer":4},{"info":"number node, value=5397","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=5397, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2433","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=2300, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2300","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2300, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1224","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1130, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=4794","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=4794, right_input=1283, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=3, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-288","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-288, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2702∑⇟⊟⫖↰⪸2276⫌⩹⨱)⫸⊐(∥⊫⫖↰⪸3354⨰⫖↰⪸782))≭(⫖↰⪸2862⨵⪆⫖↰⪸3159)≹⇙⪍(⫖↰⪸14A9↺⫖↰⪸13B8)≹⇙⪍((⫖↰⪸860/⫖↰⪸7A2)⋳⪒(⫖↰⪸2936/⫖↰⪸8AB))=NaN","reverse_text":"NaN=((⫖↰⪸2702∑⇟⊟⫖↰⪸2276⫌⩹⨱)⫸⊐(∥⊫⫖↰⪸3354⨰⫖↰⪸782))≭(⫖↰⪸2862⨵⪆⫖↰⪸3159)≹⇙⪍(⫖↰⪸14A9↺⫖↰⪸13B8)≹⇙⪍((⫖↰⪸860/⫖↰⪸7A2)⋳⪒(⫖↰⪸2936/⫖↰⪸8AB))","cot":[{"info":"⫖↰⪸2702∑⇟⊟⫖↰⪸2276=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⫖↰⪸3354⨰⫖↰⪸782=⫖↰⪸27A0","layer":3},{"info":"∥⊫⫖↰⪸27A0=⫖↰⪸31A4","layer":2},{"info":"NaN⫸⊐⫖↰⪸31A4=NaN","layer":1},{"info":"⫖↰⪸2862⨵⪆⫖↰⪸3159=⫖↰⪸114","layer":3},{"info":"⫖↰⪸14A9↺⫖↰⪸13B8=⫖↰⪸13B8","layer":3},{"info":"⫖↰⪸114≹⇙⪍⫖↰⪸13B8=NaN","layer":2},{"info":"⫖↰⪸860/⫖↰⪸7A2=⫖↰⪸1","layer":3},{"info":"⫖↰⪸2936/⫖↰⪸8AB=⫖↰⪸3","layer":3},{"info":"⫖↰⪸1⋳⪒⫖↰⪸3=⫖↰⪸-200","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸-200=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"(($2739$⇼⇔∾$3843$)⨪↰⇹($2062$⪄$3061$)⨁⊸⫻)∀⇚≩(⫓⪴(($6875$*$2124$)↙(⨵≀≌$2364$)))","expression":"((⫖↰⪸1703⇼⇔∾⫖↰⪸2283)⨪↰⇹(⫖↰⪸123A⪄⫖↰⪸1931)⨁⊸⫻)∀⇚≩(⫓⪴((⫖↰⪸3B8B*⫖↰⪸1290)↙(⨵≀≌⫖↰⪸1450)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":39428,"operation_count":9,"complexity_ratio":4380.888888888889,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2739,"base":12},"right_expr":{"type":"numeric_atoms","value":3843,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2062,"base":12},"right_expr":{"type":"numeric_atoms","value":3061,"base":12}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6875,"base":12},"right_expr":{"type":"numeric_atoms","value":2124,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2364,"base":12}}}}},"used_operators":["LRNGc0VcxI","glklzrTFfD","tmPS8pqC7x","tifHPKVTfV","SUmda5xLS4","eLxqMNBOBk","yyfyN0ffXY","9HNa5Wba9A","srAu1WTS94"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=3843, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1104","layer":3},{"info":"number node, value=2062","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=3061, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-313509","layer":3},{"info":"compute binary expreesion, left_input=1104, right_input=-313509, 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=1104","layer":2},{"info":"compute unary expreesion, input=1104, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1104","layer":1},{"info":"number node, value=6875","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=6875, right_input=2124, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14602500","layer":3},{"info":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7092","layer":3},{"info":"compute binary expreesion, left_input=14602500, right_input=-7092, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=21276","layer":2},{"info":"compute unary expreesion, input=21276, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=452668176","layer":1},{"info":"compute binary expreesion, left_input=1104, right_input=452668176, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"((⫖↰⪸1703⇼⇔∾⫖↰⪸2283)⨪↰⇹(⫖↰⪸123A⪄⫖↰⪸1931)⨁⊸⫻)∀⇚≩(⫓⪴((⫖↰⪸3B8B*⫖↰⪸1290)↙(⨵≀≌⫖↰⪸1450)))=NaN","reverse_text":"NaN=((⫖↰⪸1703⇼⇔∾⫖↰⪸2283)⨪↰⇹(⫖↰⪸123A⪄⫖↰⪸1931)⨁⊸⫻)∀⇚≩(⫓⪴((⫖↰⪸3B8B*⫖↰⪸1290)↙(⨵≀≌⫖↰⪸1450)))","cot":[{"info":"⫖↰⪸1703⇼⇔∾⫖↰⪸2283=⫖↰⪸780","layer":3},{"info":"⫖↰⪸123A⪄⫖↰⪸1931=⫖↰⪸-131519","layer":3},{"info":"⫖↰⪸780⨪↰⇹⫖↰⪸-131519=⫖↰⪸780","layer":2},{"info":"⫖↰⪸780⨁⊸⫻=⫖↰⪸780","layer":1},{"info":"⫖↰⪸3B8B*⫖↰⪸1290=⫖↰⪸4A82630","layer":3},{"info":"⨵≀≌⫖↰⪸1450=⫖↰⪸-4130","layer":3},{"info":"⫖↰⪸4A82630↙⫖↰⪸-4130=⫖↰⪸10390","layer":2},{"info":"⫓⪴⫖↰⪸10390=⫖↰⪸107720900","layer":1},{"info":"⫖↰⪸780∀⇚≩⫖↰⪸107720900=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"(((⨈⫕$5375$)⪄$4083$⫸⊐$1008$)≭($9026$⨟⋌⩍$1563$≫≃))⪘⫢($2766$∼$3304$⩷∴($1329$∲⫓$5983$)⨵⪆$3622$⇼⇔∾$4187$⊉≛↸($6153$↛⩡⫤))","expression":"(((⨈⫕⫖↰⪸313B)⪄⫖↰⪸2443⫸⊐⫖↰⪸700)≭(⫖↰⪸5282⨟⋌⩍⫖↰⪸AA3≫≃))⪘⫢(⫖↰⪸1726∼⫖↰⪸1AB4⩷∴(⫖↰⪸929∲⫓⫖↰⪸3567)⨵⪆⫖↰⪸211A⇼⇔∾⫖↰⪸250B⊉≛↸(⫖↰⪸3689↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19132,"operation_count":14,"complexity_ratio":1366.5714285714287,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5375,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4083,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":9026,"base":12},"right_expr":{"type":"numeric_atoms","value":1563,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2766,"base":12},"right_expr":{"type":"numeric_atoms","value":3304,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1329,"base":12},"right_expr":{"type":"numeric_atoms","value":5983,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3622,"base":12},"right_expr":{"type":"numeric_atoms","value":4187,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6153,"base":12}}}}},"used_operators":["oacrs7FA3X","rxpJgHHUmx","SUmda5xLS4","megm06wKyl","mqXw5SEYmG","X99M06cbEe","rGHVDoGpnC","2DQ55sFlQl","9FxExcQeMw","DyGG3AbaNP","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","FU0Cs4j7VP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5375","layer":4},{"info":"compute unary expreesion, input=5375, 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=4083","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=4083, right_input=1008, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3907","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3907, 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=9026","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=9026, right_input=1563, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2766","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=2766, right_input=3304, 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=1329","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=5983, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3622","layer":4},{"info":"number node, value=4187","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=4187, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=565","layer":3},{"info":"number node, value=6153","layer":4},{"info":"compute unary expreesion, input=6153, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-925192","layer":3},{"info":"compute binary expreesion, left_input=565, right_input=-925192, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1130","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1130, 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 = 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":"(((⨈⫕⫖↰⪸313B)⪄⫖↰⪸2443⫸⊐⫖↰⪸700)≭(⫖↰⪸5282⨟⋌⩍⫖↰⪸AA3≫≃))⪘⫢(⫖↰⪸1726∼⫖↰⪸1AB4⩷∴(⫖↰⪸929∲⫓⫖↰⪸3567)⨵⪆⫖↰⪸211A⇼⇔∾⫖↰⪸250B⊉≛↸(⫖↰⪸3689↛⩡⫤))=NaN","reverse_text":"NaN=(((⨈⫕⫖↰⪸313B)⪄⫖↰⪸2443⫸⊐⫖↰⪸700)≭(⫖↰⪸5282⨟⋌⩍⫖↰⪸AA3≫≃))⪘⫢(⫖↰⪸1726∼⫖↰⪸1AB4⩷∴(⫖↰⪸929∲⫓⫖↰⪸3567)⨵⪆⫖↰⪸211A⇼⇔∾⫖↰⪸250B⊉≛↸(⫖↰⪸3689↛⩡⫤))","cot":[{"info":"⨈⫕⫖↰⪸313B=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸2443⫸⊐⫖↰⪸700=⫖↰⪸2317","layer":3},{"info":"⫖↰⪸-19⪄⫖↰⪸2317=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸5282⨟⋌⩍⫖↰⪸AA3=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⫖↰⪸2377≭NaN=NaN","layer":1},{"info":"⫖↰⪸1726∼⫖↰⪸1AB4=NaN","layer":3},{"info":"⫖↰⪸929∲⫓⫖↰⪸3567=⫖↰⪸0","layer":3},{"info":"NaN⩷∴⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸211A⇼⇔∾⫖↰⪸250B=⫖↰⪸3B1","layer":3},{"info":"⫖↰⪸3689↛⩡⫤=⫖↰⪸-3874B4","layer":3},{"info":"⫖↰⪸3B1⊉≛↸⫖↰⪸-3874B4=⫖↰⪸7A2","layer":2},{"info":"NaN⨵⪆⫖↰⪸7A2=⫖↰⪸114","layer":1},{"info":"NaN⪘⫢⫖↰⪸114=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"(($2364$≦≮≮)↬($1313$≋⫹))⊴(($1006$⪠⩆⊳)⫸⊐(⊙↵-$4533$))↙(($6412$≹⇙⪍$3148$⫡⨏$3475$∑⇟⊟$1476$)⪒($3396$⫸⊐$3208$)⨓(⊙↵-$1731$))","expression":"((⫖↰⪸1450≦≮≮)↬(⫖↰⪸915≋⫹))⊴((⫖↰⪸6BA⪠⩆⊳)⫸⊐(⊙↵-⫖↰⪸2759))↙((⫖↰⪸3864≹⇙⪍⫖↰⪸19A4⫡⨏⫖↰⪸2017∑⇟⊟⫖↰⪸A30)⪒(⫖↰⪸1B70⫸⊐⫖↰⪸1A34)⨓(⊙↵-⫖↰⪸1003))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6424,"operation_count":15,"complexity_ratio":428.26666666666665,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2364,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1313,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1006,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4533,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6412,"base":12},"right_expr":{"type":"numeric_atoms","value":3148,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3475,"base":12},"right_expr":{"type":"numeric_atoms","value":1476,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3396,"base":12},"right_expr":{"type":"numeric_atoms","value":3208,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1731,"base":12}}}}},"used_operators":["yyfyN0ffXY","Nsiff2A1zJ","B5M0gjZbta","D4vGDi5EA2","N41Kp7NANJ","mqXw5SEYmG","JLbD19bQDL","oWn0xqSxBt","f6k1SAg4EE","QMFrweE19q","AHs5Up7iyr","U7g4x0WXJJ","3ViojmjbAp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸-67","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7092","layer":3},{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2626","layer":3},{"info":"compute binary expreesion, left_input=-7092, right_input=-2626, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1006","layer":4},{"info":"compute unary expreesion, input=1006, 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=4533","layer":4},{"info":"compute unary expreesion, input=4533, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=6412","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=6412, right_input=3148, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3475","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=1476, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=3396","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=3208, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12707","layer":3},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=12707, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-79, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-79","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1450≦≮≮)↬(⫖↰⪸915≋⫹))⊴((⫖↰⪸6BA⪠⩆⊳)⫸⊐(⊙↵-⫖↰⪸2759))↙((⫖↰⪸3864≹⇙⪍⫖↰⪸19A4⫡⨏⫖↰⪸2017∑⇟⊟⫖↰⪸A30)⪒(⫖↰⪸1B70⫸⊐⫖↰⪸1A34)⨓(⊙↵-⫖↰⪸1003))=⫖↰⪸-67","reverse_text":"⫖↰⪸-67=((⫖↰⪸1450≦≮≮)↬(⫖↰⪸915≋⫹))⊴((⫖↰⪸6BA⪠⩆⊳)⫸⊐(⊙↵-⫖↰⪸2759))↙((⫖↰⪸3864≹⇙⪍⫖↰⪸19A4⫡⨏⫖↰⪸2017∑⇟⊟⫖↰⪸A30)⪒(⫖↰⪸1B70⫸⊐⫖↰⪸1A34)⨓(⊙↵-⫖↰⪸1003))","cot":[{"info":"⫖↰⪸1450≦≮≮=⫖↰⪸-4130","layer":3},{"info":"⫖↰⪸915≋⫹=⫖↰⪸-162A","layer":3},{"info":"⫖↰⪸-4130↬⫖↰⪸-162A=NaN","layer":2},{"info":"⫖↰⪸6BA⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⊙↵-⫖↰⪸2759=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸0⫸⊐⫖↰⪸-1=⫖↰⪸0","layer":2},{"info":"NaN⊴⫖↰⪸0=⫖↰⪸-67","layer":1},{"info":"⫖↰⪸3864≹⇙⪍⫖↰⪸19A4=NaN","layer":3},{"info":"⫖↰⪸2017∑⇟⊟⫖↰⪸A30=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⫖↰⪸1B70⫸⊐⫖↰⪸1A34=⫖↰⪸742B","layer":3},{"info":"⊙↵-⫖↰⪸1003=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸742B⨓⫖↰⪸-1=⫖↰⪸-4","layer":2},{"info":"NaN⪒⫖↰⪸-4=NaN","layer":1},{"info":"⫖↰⪸-67↙NaN=⫖↰⪸-67","layer":0}]}
{"id":258,"expression_no_base_symbol":"(⊙↵-($6092$⪘⫢$1733$))⪄($2383$⨰$1577$)⨟⋌⩍($1258$≋⫹)⇼⇔∾(($1315$-$2134$)⪒$5001$⨳⩥⨓$1297$)⇷(-(⊙↵-$3469$))","expression":"(⊙↵-(⫖↰⪸3638⪘⫢⫖↰⪸1005))⪄(⫖↰⪸1467⨰⫖↰⪸AB5)⨟⋌⩍(⫖↰⪸88A≋⫹)⇼⇔∾((⫖↰⪸917-⫖↰⪸129A)⪒⫖↰⪸2A89⨳⩥⨓⫖↰⪸901)⇷(-(⊙↵-⫖↰⪸2011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79007,"operation_count":13,"complexity_ratio":6077.461538461538,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6092,"base":12},"right_expr":{"type":"numeric_atoms","value":1733,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2383,"base":12},"right_expr":{"type":"numeric_atoms","value":1577,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1258,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1315,"base":12},"right_expr":{"type":"numeric_atoms","value":2134,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5001,"base":12},"right_expr":{"type":"numeric_atoms","value":1297,"base":12}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3469,"base":12}}}}},"used_operators":["tifHPKVTfV","SUmda5xLS4","oWn0xqSxBt","oacrs7FA3X","rGHVDoGpnC","eewbuw0ToL","N41Kp7NANJ","mp7IySMOzn","f6k1SAg4EE","rysDP5nf3Z","nCS4ZIUYfx","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6092","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=6092, right_input=1733, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12060","layer":3},{"info":"compute unary expreesion, input=12060, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2383","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=1577, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=816","layer":3},{"info":"number node, value=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2516","layer":3},{"info":"compute binary expreesion, left_input=816, right_input=-2516, 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=-1, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=1315","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2134, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-819","layer":3},{"info":"number node, value=5001","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=1297, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3704","layer":3},{"info":"compute binary expreesion, left_input=-819, right_input=-3704, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4523","layer":2},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=4523, right_input=1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-(⫖↰⪸3638⪘⫢⫖↰⪸1005))⪄(⫖↰⪸1467⨰⫖↰⪸AB5)⨟⋌⩍(⫖↰⪸88A≋⫹)⇼⇔∾((⫖↰⪸917-⫖↰⪸129A)⪒⫖↰⪸2A89⨳⩥⨓⫖↰⪸901)⇷(-(⊙↵-⫖↰⪸2011))=NaN","reverse_text":"NaN=(⊙↵-(⫖↰⪸3638⪘⫢⫖↰⪸1005))⪄(⫖↰⪸1467⨰⫖↰⪸AB5)⨟⋌⩍(⫖↰⪸88A≋⫹)⇼⇔∾((⫖↰⪸917-⫖↰⪸129A)⪒⫖↰⪸2A89⨳⩥⨓⫖↰⪸901)⇷(-(⊙↵-⫖↰⪸2011))","cot":[{"info":"⫖↰⪸3638⪘⫢⫖↰⪸1005=⫖↰⪸6B90","layer":3},{"info":"⊙↵-⫖↰⪸6B90=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸1467⨰⫖↰⪸AB5=⫖↰⪸580","layer":3},{"info":"⫖↰⪸88A≋⫹=⫖↰⪸-1558","layer":3},{"info":"⫖↰⪸580⨟⋌⩍⫖↰⪸-1558=NaN","layer":2},{"info":"⫖↰⪸-1⪄NaN=NaN","layer":1},{"info":"⫖↰⪸917-⫖↰⪸129A=⫖↰⪸-583","layer":3},{"info":"⫖↰⪸2A89⨳⩥⨓⫖↰⪸901=⫖↰⪸-2188","layer":3},{"info":"⫖↰⪸-583⪒⫖↰⪸-2188=⫖↰⪸274B","layer":2},{"info":"⊙↵-⫖↰⪸2011=⫖↰⪸-1","layer":3},{"info":"-⫖↰⪸-1=⫖↰⪸1","layer":2},{"info":"⫖↰⪸274B⇷⫖↰⪸1=⫖↰⪸2","layer":1},{"info":"NaN⇼⇔∾⫖↰⪸2=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"(⨈⫕($4066$⨽$2907$)⫥∨⫟(⪲⇎$3088$))⨽(($1654$∲⫓$1721$)⨓(⫛⫱⨽$3760$)↙($1720$≭$2851$/$7861$≎⊠⪸$3266$))","expression":"(⨈⫕(⫖↰⪸242A⨽⫖↰⪸1823)⫥∨⫟(⪲⇎⫖↰⪸1954))⨽((⫖↰⪸B5A∲⫓⫖↰⪸BB5)⨓(⫛⫱⨽⫖↰⪸2214)↙(⫖↰⪸BB4≭⫖↰⪸1797/⫖↰⪸4671≎⊠⪸⫖↰⪸1A82))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6351,"operation_count":12,"complexity_ratio":529.25,"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":4066,"base":12},"right_expr":{"type":"numeric_atoms","value":2907,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_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":1654,"base":12},"right_expr":{"type":"numeric_atoms","value":1721,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3760,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1720,"base":12},"right_expr":{"type":"numeric_atoms","value":2851,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7861,"base":12},"right_expr":{"type":"numeric_atoms","value":3266,"base":12}}}}},"used_operators":["8HhzD0ZcuI","megm06wKyl","KYD54nUTWz","XPYlsWDdGa","yyfyN0ffXY","3ViojmjbAp","i8ToyICDmI","DlLNRPXxWL","XhwjNDsVaA","rxpJgHHUmx","bJkvcejdHO"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4066","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=2907, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-49604475","layer":3},{"info":"number node, value=3088","layer":4},{"info":"compute unary expreesion, input=3088, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6176","layer":3},{"info":"compute binary expreesion, left_input=-49604475, right_input=6176, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=1654","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=1721, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3760","layer":4},{"info":"compute unary expreesion, input=3760, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1720","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=2851, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7861","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=7861, right_input=3266, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2035526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2035526, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(⨈⫕(⫖↰⪸242A⨽⫖↰⪸1823)⫥∨⫟(⪲⇎⫖↰⪸1954))⨽((⫖↰⪸B5A∲⫓⫖↰⪸BB5)⨓(⫛⫱⨽⫖↰⪸2214)↙(⫖↰⪸BB4≭⫖↰⪸1797/⫖↰⪸4671≎⊠⪸⫖↰⪸1A82))=NaN","reverse_text":"NaN=(⨈⫕(⫖↰⪸242A⨽⫖↰⪸1823)⫥∨⫟(⪲⇎⫖↰⪸1954))⨽((⫖↰⪸B5A∲⫓⫖↰⪸BB5)⨓(⫛⫱⨽⫖↰⪸2214)↙(⫖↰⪸BB4≭⫖↰⪸1797/⫖↰⪸4671≎⊠⪸⫖↰⪸1A82))","cot":[{"info":"⫖↰⪸242A⨽⫖↰⪸1823=⫖↰⪸-14742363","layer":3},{"info":"⪲⇎⫖↰⪸1954=⫖↰⪸36A8","layer":3},{"info":"⫖↰⪸-14742363⫥∨⫟⫖↰⪸36A8=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸B5A∲⫓⫖↰⪸BB5=⫖↰⪸0","layer":3},{"info":"⫛⫱⨽⫖↰⪸2214=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨓⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸BB4≭⫖↰⪸1797=NaN","layer":3},{"info":"⫖↰⪸4671≎⊠⪸⫖↰⪸1A82=⫖↰⪸821B72","layer":3},{"info":"NaN/⫖↰⪸821B72=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⫖↰⪸-19⨽NaN=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"(∂($2448$%$1307$)⊴(↥$2431$))≎⊠⪸(⫛⫱⨽(↽≂$5600$⨽$1375$))","expression":"(∂(⫖↰⪸1500%⫖↰⪸90B)⊴(↥⫖↰⪸14A7))≎⊠⪸(⫛⫱⨽(↽≂⫖↰⪸32A8⨽⫖↰⪸967))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8365,"operation_count":8,"complexity_ratio":1045.625,"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":2448,"base":12},"right_expr":{"type":"numeric_atoms","value":1307,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2431,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5600,"base":12},"right_expr":{"type":"numeric_atoms","value":1375,"base":12}}}}},"used_operators":["bJkvcejdHO","Uaa54Peajs","Nsiff2A1zJ","k8jYdgA6NY","A8NUZmVepG","DlLNRPXxWL","u6S6b8DprG","8HhzD0ZcuI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2448","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=1307, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1141","layer":3},{"info":"number node, value=2431","layer":4},{"info":"compute unary expreesion, input=2431, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":3},{"info":"compute binary expreesion, left_input=1141, right_input=34, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=5600","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=5600, right_input=1375, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-94082811","layer":3},{"info":"compute unary expreesion, input=-94082811, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=188165622","layer":2},{"info":"compute unary expreesion, input=188165622, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(∂(⫖↰⪸1500%⫖↰⪸90B)⊴(↥⫖↰⪸14A7))≎⊠⪸(⫛⫱⨽(↽≂⫖↰⪸32A8⨽⫖↰⪸967))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(∂(⫖↰⪸1500%⫖↰⪸90B)⊴(↥⫖↰⪸14A7))≎⊠⪸(⫛⫱⨽(↽≂⫖↰⪸32A8⨽⫖↰⪸967))","cot":[{"info":"⫖↰⪸1500%⫖↰⪸90B=⫖↰⪸7B1","layer":3},{"info":"↥⫖↰⪸14A7=⫖↰⪸2A","layer":3},{"info":"⫖↰⪸7B1⊴⫖↰⪸2A=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸32A8⨽⫖↰⪸967=⫖↰⪸-276120A3","layer":3},{"info":"↽≂⫖↰⪸-276120A3=⫖↰⪸53024186","layer":2},{"info":"⫛⫱⨽⫖↰⪸53024186=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":261,"expression_no_base_symbol":"(($1003$⋝⋈⪟$4674$)⪛($4351$≫≃)⨸⪁((-$1111$)∲⫓(⊄⩳↩$1430$)))⨁⊸⫻","expression":"((⫖↰⪸6B7⋝⋈⪟⫖↰⪸2856)⪛(⫖↰⪸2627≫≃)⨸⪁((-⫖↰⪸787)∲⫓(⊄⩳↩⫖↰⪸9B2)))⨁⊸⫻","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25,"operation_count":8,"complexity_ratio":3.125,"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":1003,"base":12},"right_expr":{"type":"numeric_atoms","value":4674,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4351,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1111,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1430,"base":12}}}}},"used_operators":["glklzrTFfD","g55IO6H4Gj","uFcxV4UQCh","2DDjHMKMc0","X99M06cbEe","i8ToyICDmI","t8gj7n24qd","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-300","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4674, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1003","layer":3},{"info":"number node, value=4351","layer":4},{"info":"compute unary expreesion, input=4351, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10103","layer":3},{"info":"compute binary expreesion, left_input=1003, right_input=10103, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1003","layer":2},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1111","layer":3},{"info":"number node, value=1430","layer":4},{"info":"compute unary expreesion, input=1430, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4290","layer":3},{"info":"compute binary expreesion, left_input=-1111, right_input=-4290, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1111","layer":2},{"info":"compute binary expreesion, left_input=1003, right_input=-1111, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-216","layer":1},{"info":"compute unary expreesion, input=-216, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-432","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸6B7⋝⋈⪟⫖↰⪸2856)⪛(⫖↰⪸2627≫≃)⨸⪁((-⫖↰⪸787)∲⫓(⊄⩳↩⫖↰⪸9B2)))⨁⊸⫻=⫖↰⪸-300","reverse_text":"⫖↰⪸-300=((⫖↰⪸6B7⋝⋈⪟⫖↰⪸2856)⪛(⫖↰⪸2627≫≃)⨸⪁((-⫖↰⪸787)∲⫓(⊄⩳↩⫖↰⪸9B2)))⨁⊸⫻","cot":[{"info":"⫖↰⪸6B7⋝⋈⪟⫖↰⪸2856=⫖↰⪸6B7","layer":3},{"info":"⫖↰⪸2627≫≃=⫖↰⪸5A1B","layer":3},{"info":"⫖↰⪸6B7⪛⫖↰⪸5A1B=⫖↰⪸6B7","layer":2},{"info":"-⫖↰⪸787=⫖↰⪸-787","layer":3},{"info":"⊄⩳↩⫖↰⪸9B2=⫖↰⪸-2596","layer":3},{"info":"⫖↰⪸-787∲⫓⫖↰⪸-2596=⫖↰⪸-787","layer":2},{"info":"⫖↰⪸6B7⨸⪁⫖↰⪸-787=⫖↰⪸-160","layer":1},{"info":"⫖↰⪸-160⨁⊸⫻=⫖↰⪸-300","layer":0}]}
{"id":262,"expression_no_base_symbol":"↯⪼(($2101$⪒$5011$)⩷∴($1943$∲⫓$3242$)⫡⨏$8599$⋝⋈⪟$5636$⋝⋈⪟($5980$⋷$2914$))","expression":"↯⪼((⫖↰⪸1271⪒⫖↰⪸2A97)⩷∴(⫖↰⪸115B∲⫓⫖↰⪸1A62)⫡⨏⫖↰⪸4B87⋝⋈⪟⫖↰⪸3318⋝⋈⪟(⫖↰⪸3564⋷⫖↰⪸182A))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":40,"operation_count":8,"complexity_ratio":5.0,"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":2101,"base":12},"right_expr":{"type":"numeric_atoms","value":5011,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1943,"base":12},"right_expr":{"type":"numeric_atoms","value":3242,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8599,"base":12},"right_expr":{"type":"numeric_atoms","value":5636,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5980,"base":12},"right_expr":{"type":"numeric_atoms","value":2914,"base":12}}}}},"used_operators":["8jW3W4yZS5","QMFrweE19q","9FxExcQeMw","f6k1SAg4EE","i8ToyICDmI","2DDjHMKMc0","23Mk6UjR3U"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸511A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2101","layer":4},{"info":"number node, value=5011","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=5011, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7112","layer":3},{"info":"number node, value=1943","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=3242, 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=-7112, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-14256","layer":2},{"info":"number node, value=8599","layer":4},{"info":"number node, value=5636","layer":4},{"info":"compute binary expreesion, left_input=8599, right_input=5636, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8599","layer":3},{"info":"number node, value=5980","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=2914, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-152","layer":3},{"info":"compute binary expreesion, left_input=8599, right_input=-152, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8599","layer":2},{"info":"compute binary expreesion, left_input=-14256, right_input=8599, 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=-53299","layer":1},{"info":"compute unary expreesion, input=-53299, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=105681","layer":0}],"base":12,"result_base":12,"text":"↯⪼((⫖↰⪸1271⪒⫖↰⪸2A97)⩷∴(⫖↰⪸115B∲⫓⫖↰⪸1A62)⫡⨏⫖↰⪸4B87⋝⋈⪟⫖↰⪸3318⋝⋈⪟(⫖↰⪸3564⋷⫖↰⪸182A))=⫖↰⪸511A9","reverse_text":"⫖↰⪸511A9=↯⪼((⫖↰⪸1271⪒⫖↰⪸2A97)⩷∴(⫖↰⪸115B∲⫓⫖↰⪸1A62)⫡⨏⫖↰⪸4B87⋝⋈⪟⫖↰⪸3318⋝⋈⪟(⫖↰⪸3564⋷⫖↰⪸182A))","cot":[{"info":"⫖↰⪸1271⪒⫖↰⪸2A97=⫖↰⪸-4148","layer":3},{"info":"⫖↰⪸115B∲⫓⫖↰⪸1A62=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-4148⩷∴⫖↰⪸0=⫖↰⪸-8300","layer":2},{"info":"⫖↰⪸4B87⋝⋈⪟⫖↰⪸3318=⫖↰⪸4B87","layer":3},{"info":"⫖↰⪸3564⋷⫖↰⪸182A=⫖↰⪸-108","layer":3},{"info":"⫖↰⪸4B87⋝⋈⪟⫖↰⪸-108=⫖↰⪸4B87","layer":2},{"info":"⫖↰⪸-8300⫡⨏⫖↰⪸4B87=⫖↰⪸-26A17","layer":1},{"info":"↯⪼⫖↰⪸-26A17=⫖↰⪸511A9","layer":0}]}
{"id":263,"expression_no_base_symbol":"(($6928$⨵⪆$1072$)⩷∴($3426$+$1634$)⩤)⊭↱($1024$∀⇚≩$2914$⋓(⫓⪴$3708$))⊴(($4504$∧)⪘⫢($5489$⊦⊿))","expression":"((⫖↰⪸4014⨵⪆⫖↰⪸754)⩷∴(⫖↰⪸1B96+⫖↰⪸B42)⩤)⊭↱(⫖↰⪸714∀⇚≩⫖↰⪸182A⋓(⫓⪴⫖↰⪸2190))⊴((⫖↰⪸2734∧)⪘⫢(⫖↰⪸3215⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10932,"operation_count":12,"complexity_ratio":911.0,"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":6928,"base":12},"right_expr":{"type":"numeric_atoms","value":1072,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3426,"base":12},"right_expr":{"type":"numeric_atoms","value":1634,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":2914,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3708,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4504,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5489,"base":12}}}}},"used_operators":["COABgblf1C","Z2TMIBDE3Q","9FxExcQeMw","2DQ55sFlQl","W4YGzv6Whe","Nsiff2A1zJ","T2fj7uvVaJ","LRNGc0VcxI","eLxqMNBOBk","oacrs7FA3X","z63VuFQld9","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6928","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=6928, right_input=1072, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=1634, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5060","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5060, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9832","layer":2},{"info":"compute unary expreesion, input=-9832, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=9832","layer":1},{"info":"number node, value=1024","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2914, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3708","layer":4},{"info":"compute unary expreesion, input=3708, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13749264","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13749264, 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=4504","layer":4},{"info":"compute unary expreesion, input=4504, 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=5489","layer":4},{"info":"compute unary expreesion, input=5489, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16546","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16546, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9832, 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":"((⫖↰⪸4014⨵⪆⫖↰⪸754)⩷∴(⫖↰⪸1B96+⫖↰⪸B42)⩤)⊭↱(⫖↰⪸714∀⇚≩⫖↰⪸182A⋓(⫓⪴⫖↰⪸2190))⊴((⫖↰⪸2734∧)⪘⫢(⫖↰⪸3215⊦⊿))=NaN","reverse_text":"NaN=((⫖↰⪸4014⨵⪆⫖↰⪸754)⩷∴(⫖↰⪸1B96+⫖↰⪸B42)⩤)⊭↱(⫖↰⪸714∀⇚≩⫖↰⪸182A⋓(⫓⪴⫖↰⪸2190))⊴((⫖↰⪸2734∧)⪘⫢(⫖↰⪸3215⊦⊿))","cot":[{"info":"⫖↰⪸4014⨵⪆⫖↰⪸754=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1B96+⫖↰⪸B42=⫖↰⪸2B18","layer":3},{"info":"⫖↰⪸114⩷∴⫖↰⪸2B18=⫖↰⪸-5834","layer":2},{"info":"⫖↰⪸-5834⩤=⫖↰⪸5834","layer":1},{"info":"⫖↰⪸714∀⇚≩⫖↰⪸182A=NaN","layer":3},{"info":"⫓⪴⫖↰⪸2190=⫖↰⪸4730900","layer":3},{"info":"NaN⋓⫖↰⪸4730900=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2734∧=NaN","layer":3},{"info":"⫖↰⪸3215⊦⊿=⫖↰⪸-96AA","layer":3},{"info":"NaN⪘⫢⫖↰⪸-96AA=NaN","layer":2},{"info":"⫖↰⪸0⊴NaN=NaN","layer":1},{"info":"⫖↰⪸5834⊭↱NaN=NaN","layer":0}]}
{"id":264,"expression_no_base_symbol":"(≦∁(≉$1684$)⨳⩥⨓(⨞⊢$1299$))⊴((($2167$≭$1426$)∼($1812$%$1765$))⪮%⊝((↽≂$2233$)⊘))","expression":"(≦∁(≉⫖↰⪸B84)⨳⩥⨓(⨞⊢⫖↰⪸903))⊴(((⫖↰⪸1307≭⫖↰⪸9AA)∼(⫖↰⪸1070%⫖↰⪸1031))⪮%⊝((↽≂⫖↰⪸1361)⊘))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":611,"operation_count":11,"complexity_ratio":55.54545454545455,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1684,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1299,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2167,"base":12},"right_expr":{"type":"numeric_atoms","value":1426,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1812,"base":12},"right_expr":{"type":"numeric_atoms","value":1765,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2233,"base":12}}}}},"used_operators":["Nsiff2A1zJ","9ICcGScMcE","nCS4ZIUYfx","e1ybzncUwg","xUOZtlo3hN","IWmyXbctLI","DyGG3AbaNP","rxpJgHHUmx","k8jYdgA6NY","gu96TGCTMs","u6S6b8DprG"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2215","layer":3},{"info":"number node, value=1299","layer":4},{"info":"compute unary expreesion, input=1299, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1473","layer":3},{"info":"compute binary expreesion, left_input=2215, right_input=-1473, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3688","layer":2},{"info":"compute unary expreesion, input=-3688, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"number node, value=2167","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1426, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1812","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=1765, op_id = k8jYdgA6NY binary_op_definition= 'None', output=47","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=47, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=2233","layer":4},{"info":"compute unary expreesion, input=2233, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4466","layer":3},{"info":"compute unary expreesion, input=-4466, 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=0, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=316, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≦∁(≉⫖↰⪸B84)⨳⩥⨓(⨞⊢⫖↰⪸903))⊴(((⫖↰⪸1307≭⫖↰⪸9AA)∼(⫖↰⪸1070%⫖↰⪸1031))⪮%⊝((↽≂⫖↰⪸1361)⊘))=NaN","reverse_text":"NaN=(≦∁(≉⫖↰⪸B84)⨳⩥⨓(⨞⊢⫖↰⪸903))⊴(((⫖↰⪸1307≭⫖↰⪸9AA)∼(⫖↰⪸1070%⫖↰⪸1031))⪮%⊝((↽≂⫖↰⪸1361)⊘))","cot":[{"info":"≉⫖↰⪸B84=⫖↰⪸1347","layer":3},{"info":"⨞⊢⫖↰⪸903=⫖↰⪸-A29","layer":3},{"info":"⫖↰⪸1347⨳⩥⨓⫖↰⪸-A29=⫖↰⪸-2174","layer":2},{"info":"≦∁⫖↰⪸-2174=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1307≭⫖↰⪸9AA=NaN","layer":3},{"info":"⫖↰⪸1070%⫖↰⪸1031=⫖↰⪸3B","layer":3},{"info":"NaN∼⫖↰⪸3B=⫖↰⪸0","layer":2},{"info":"↽≂⫖↰⪸1361=⫖↰⪸-2702","layer":3},{"info":"⫖↰⪸-2702⊘=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸0⪮%⊝⫖↰⪸-1=⫖↰⪸224","layer":1},{"info":"⫖↰⪸57⊴⫖↰⪸224=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"(($1602$⫩⊇)⫡⨏$7924$⪒$2959$/(∥⊫$4512$)⪘⫢$1906$⊴$1618$)⨪↰⇹(⇁⨣⪵($1145$⇼⇔∾$4631$))↬(⇁⨣⪵(↥$1060$))","expression":"((⫖↰⪸B16⫩⊇)⫡⨏⫖↰⪸4704⪒⫖↰⪸1867/(∥⊫⫖↰⪸2740)⪘⫢⫖↰⪸112A⊴⫖↰⪸B2A)⨪↰⇹(⇁⨣⪵(⫖↰⪸7B5⇼⇔∾⫖↰⪸281B))↬(⇁⨣⪵(↥⫖↰⪸744))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3011,"operation_count":13,"complexity_ratio":231.6153846153846,"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":1602,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7924,"base":12},"right_expr":{"type":"numeric_atoms","value":2959,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4512,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1906,"base":12},"right_expr":{"type":"numeric_atoms","value":1618,"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":4631,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1060,"base":12}}}}},"used_operators":["tmPS8pqC7x","XhwjNDsVaA","QMFrweE19q","BjRHVeLaeN","f6k1SAg4EE","oacrs7FA3X","P8v4zCKN1o","Nsiff2A1zJ","B5M0gjZbta","inkyxCbjAn","tifHPKVTfV","A8NUZmVepG"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1560","layer":3},{"info":"number node, value=7924","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=7924, right_input=2959, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10883","layer":3},{"info":"compute binary expreesion, left_input=-1560, right_input=-10883, 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=-28783","layer":2},{"info":"number node, value=4512","layer":4},{"info":"compute unary expreesion, input=4512, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5380","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=1618, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5380, 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=-28783, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1145","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=4631, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3486","layer":3},{"info":"compute unary expreesion, input=3486, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute unary expreesion, input=40, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B16⫩⊇)⫡⨏⫖↰⪸4704⪒⫖↰⪸1867/(∥⊫⫖↰⪸2740)⪘⫢⫖↰⪸112A⊴⫖↰⪸B2A)⨪↰⇹(⇁⨣⪵(⫖↰⪸7B5⇼⇔∾⫖↰⪸281B))↬(⇁⨣⪵(↥⫖↰⪸744))=NaN","reverse_text":"NaN=((⫖↰⪸B16⫩⊇)⫡⨏⫖↰⪸4704⪒⫖↰⪸1867/(∥⊫⫖↰⪸2740)⪘⫢⫖↰⪸112A⊴⫖↰⪸B2A)⨪↰⇹(⇁⨣⪵(⫖↰⪸7B5⇼⇔∾⫖↰⪸281B))↬(⇁⨣⪵(↥⫖↰⪸744))","cot":[{"info":"⫖↰⪸B16⫩⊇=⫖↰⪸-AA0","layer":3},{"info":"⫖↰⪸4704⪒⫖↰⪸1867=⫖↰⪸-636B","layer":3},{"info":"⫖↰⪸-AA0⫡⨏⫖↰⪸-636B=⫖↰⪸-147A7","layer":2},{"info":"∥⊫⫖↰⪸2740=⫖↰⪸3144","layer":3},{"info":"⫖↰⪸112A⊴⫖↰⪸B2A=NaN","layer":3},{"info":"⫖↰⪸3144⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸-147A7/NaN=NaN","layer":1},{"info":"⫖↰⪸7B5⇼⇔∾⫖↰⪸281B=⫖↰⪸2026","layer":3},{"info":"⇁⨣⪵⫖↰⪸2026=NaN","layer":2},{"info":"↥⫖↰⪸744=⫖↰⪸34","layer":3},{"info":"⇁⨣⪵⫖↰⪸34=⫖↰⪸0","layer":2},{"info":"NaN↬⫖↰⪸0=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"($1088$∀⇚≩$1296$⋓$1705$↬$2640$⪄($1866$↙$1070$)+⇶⊼($1640$⨳⩥⨓$5397$))⨐⩸⫘(-$2711$⨽$8111$)↬(($8589$⨎$2206$)⋫)","expression":"(⫖↰⪸768∀⇚≩⫖↰⪸900⋓⫖↰⪸BA1↬⫖↰⪸1640⪄(⫖↰⪸10B6↙⫖↰⪸752)+⇶⊼(⫖↰⪸B48⨳⩥⨓⫖↰⪸3159))⨐⩸⫘(-⫖↰⪸169B⨽⫖↰⪸483B)↬((⫖↰⪸4B79⨎⫖↰⪸133A)⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13658,"operation_count":13,"complexity_ratio":1050.6153846153845,"tree":{"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":1296,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1705,"base":12},"right_expr":{"type":"numeric_atoms","value":2640,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1866,"base":12},"right_expr":{"type":"numeric_atoms","value":1070,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1640,"base":12},"right_expr":{"type":"numeric_atoms","value":5397,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2711,"base":12},"right_expr":{"type":"numeric_atoms","value":8111,"base":12}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8589,"base":12},"right_expr":{"type":"numeric_atoms","value":2206,"base":12}}}}},"used_operators":["fu6greOZ01","SUmda5xLS4","T2fj7uvVaJ","LRNGc0VcxI","B5M0gjZbta","TpPTUOHfaN","yyfyN0ffXY","nCS4ZIUYfx","t8gj7n24qd","8HhzD0ZcuI","JL8yIekQnl","rJVOvQCfKK"],"dependent_operators":["3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","rGHVDoGpnC","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1296, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1705","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=2640, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"number node, value=1866","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1070, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3210","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=5397","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=5397, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3757","layer":3},{"info":"compute binary expreesion, left_input=-3210, right_input=3757, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=2711","layer":4},{"info":"number node, value=8111","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=8111, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22071582","layer":3},{"info":"compute unary expreesion, input=-22071582, op_id = t8gj7n24qd, unary_op_definition = 'None', output=22071582","layer":2},{"info":"number node, value=8589","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=8589, right_input=2206, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2206","layer":3},{"info":"compute unary expreesion, input=2206, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2206","layer":2},{"info":"compute binary expreesion, left_input=22071582, right_input=2206, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3979, 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":"(⫖↰⪸768∀⇚≩⫖↰⪸900⋓⫖↰⪸BA1↬⫖↰⪸1640⪄(⫖↰⪸10B6↙⫖↰⪸752)+⇶⊼(⫖↰⪸B48⨳⩥⨓⫖↰⪸3159))⨐⩸⫘(-⫖↰⪸169B⨽⫖↰⪸483B)↬((⫖↰⪸4B79⨎⫖↰⪸133A)⋫)=NaN","reverse_text":"NaN=(⫖↰⪸768∀⇚≩⫖↰⪸900⋓⫖↰⪸BA1↬⫖↰⪸1640⪄(⫖↰⪸10B6↙⫖↰⪸752)+⇶⊼(⫖↰⪸B48⨳⩥⨓⫖↰⪸3159))⨐⩸⫘(-⫖↰⪸169B⨽⫖↰⪸483B)↬((⫖↰⪸4B79⨎⫖↰⪸133A)⋫)","cot":[{"info":"⫖↰⪸768∀⇚≩⫖↰⪸900=NaN","layer":3},{"info":"⫖↰⪸BA1↬⫖↰⪸1640=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⫖↰⪸10B6↙⫖↰⪸752=⫖↰⪸-1A36","layer":3},{"info":"⫖↰⪸B48⨳⩥⨓⫖↰⪸3159=⫖↰⪸2211","layer":3},{"info":"⫖↰⪸-1A36+⇶⊼⫖↰⪸2211=NaN","layer":2},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸169B⨽⫖↰⪸483B=⫖↰⪸-7484AA6","layer":3},{"info":"-⫖↰⪸-7484AA6=⫖↰⪸7484AA6","layer":2},{"info":"⫖↰⪸4B79⨎⫖↰⪸133A=⫖↰⪸133A","layer":3},{"info":"⫖↰⪸133A⋫=⫖↰⪸133A","layer":2},{"info":"⫖↰⪸7484AA6↬⫖↰⪸133A=NaN","layer":1},{"info":"⫖↰⪸2377⨐⩸⫘NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"(⨰⫟⨤(($1136$⫥∨⫟$3394$)≦≮≮))/($3207$⊭↱$2152$⨵⪆$3458$∲⫓$1691$⨵⪆($6738$≹⇙⪍$1990$/$2191$⋝⋈⪟$2225$))","expression":"(⨰⫟⨤((⫖↰⪸7A8⫥∨⫟⫖↰⪸1B6A)≦≮≮))/(⫖↰⪸1A33⊭↱⫖↰⪸12B4⨵⪆⫖↰⪸2002∲⫓⫖↰⪸B8B⨵⪆(⫖↰⪸3A96≹⇙⪍⫖↰⪸119A/⫖↰⪸1327⋝⋈⪟⫖↰⪸1355))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":202,"operation_count":11,"complexity_ratio":18.363636363636363,"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":1136,"base":12},"right_expr":{"type":"numeric_atoms","value":3394,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3207,"base":12},"right_expr":{"type":"numeric_atoms","value":2152,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3458,"base":12},"right_expr":{"type":"numeric_atoms","value":1691,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6738,"base":12},"right_expr":{"type":"numeric_atoms","value":1990,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2191,"base":12},"right_expr":{"type":"numeric_atoms","value":2225,"base":12}}}}},"used_operators":["XhwjNDsVaA","Tw270M8GLb","D4vGDi5EA2","KYD54nUTWz","2DQ55sFlQl","COABgblf1C","i8ToyICDmI","AHs5Up7iyr","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=3394, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3207","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=3207, right_input=2152, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2105","layer":3},{"info":"number node, value=3458","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=1691, 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=-2105, 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=6738","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=6738, right_input=1990, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2191","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=2225, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2191","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2191, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤((⫖↰⪸7A8⫥∨⫟⫖↰⪸1B6A)≦≮≮))/(⫖↰⪸1A33⊭↱⫖↰⪸12B4⨵⪆⫖↰⪸2002∲⫓⫖↰⪸B8B⨵⪆(⫖↰⪸3A96≹⇙⪍⫖↰⪸119A/⫖↰⪸1327⋝⋈⪟⫖↰⪸1355))=NaN","reverse_text":"NaN=(⨰⫟⨤((⫖↰⪸7A8⫥∨⫟⫖↰⪸1B6A)≦≮≮))/(⫖↰⪸1A33⊭↱⫖↰⪸12B4⨵⪆⫖↰⪸2002∲⫓⫖↰⪸B8B⨵⪆(⫖↰⪸3A96≹⇙⪍⫖↰⪸119A/⫖↰⪸1327⋝⋈⪟⫖↰⪸1355))","cot":[{"info":"⫖↰⪸7A8⫥∨⫟⫖↰⪸1B6A=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸1A33⊭↱⫖↰⪸12B4=⫖↰⪸-1275","layer":3},{"info":"⫖↰⪸2002∲⫓⫖↰⪸B8B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1275⨵⪆⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸3A96≹⇙⪍⫖↰⪸119A=NaN","layer":3},{"info":"⫖↰⪸1327⋝⋈⪟⫖↰⪸1355=⫖↰⪸1327","layer":3},{"info":"NaN/⫖↰⪸1327=NaN","layer":2},{"info":"⫖↰⪸114⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"NaN/⫖↰⪸114=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"((($7023$⊦⊿)/$1645$⨳⩥⨓$5417$)⫥∨⫟(≦∁$2847$⊉≛↸$1851$))∼(($6505$⨳⩥⨓$1248$)⪮%⊝($4821$⊭↱$1017$)-(↥$4468$⋝⋈⪟$2064$))","expression":"(((⫖↰⪸4093⊦⊿)/⫖↰⪸B51⨳⩥⨓⫖↰⪸3175)⫥∨⫟(≦∁⫖↰⪸1793⊉≛↸⫖↰⪸10A3))∼((⫖↰⪸3921⨳⩥⨓⫖↰⪸880)⪮%⊝(⫖↰⪸2959⊭↱⫖↰⪸709)-(↥⫖↰⪸2704⋝⋈⪟⫖↰⪸1240))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":283,"operation_count":13,"complexity_ratio":21.76923076923077,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7023,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1645,"base":12},"right_expr":{"type":"numeric_atoms","value":5417,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2847,"base":12},"right_expr":{"type":"numeric_atoms","value":1851,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6505,"base":12},"right_expr":{"type":"numeric_atoms","value":1248,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4821,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4468,"base":12},"right_expr":{"type":"numeric_atoms","value":2064,"base":12}}}}},"used_operators":["DyGG3AbaNP","KYD54nUTWz","XhwjNDsVaA","14qkJME0vr","nCS4ZIUYfx","9ICcGScMcE","DZ8iAZOCBD","rysDP5nf3Z","IWmyXbctLI","COABgblf1C","A8NUZmVepG","2DDjHMKMc0"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7023","layer":4},{"info":"compute unary expreesion, input=7023, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-21148","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=5417","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=5417, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3772","layer":3},{"info":"compute binary expreesion, left_input=-21148, right_input=3772, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-6","layer":2},{"info":"number node, value=2847","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=1851, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5694","layer":3},{"info":"compute unary expreesion, input=5694, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5694","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=5694, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6505","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=1248, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5257","layer":3},{"info":"number node, value=4821","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=1017, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7603","layer":3},{"info":"compute binary expreesion, left_input=-5257, right_input=-7603, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-10198","layer":2},{"info":"number node, value=4468","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=2064, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4468","layer":3},{"info":"compute unary expreesion, input=4468, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":2},{"info":"compute binary expreesion, left_input=-10198, right_input=31, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10229","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10229, 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":"(((⫖↰⪸4093⊦⊿)/⫖↰⪸B51⨳⩥⨓⫖↰⪸3175)⫥∨⫟(≦∁⫖↰⪸1793⊉≛↸⫖↰⪸10A3))∼((⫖↰⪸3921⨳⩥⨓⫖↰⪸880)⪮%⊝(⫖↰⪸2959⊭↱⫖↰⪸709)-(↥⫖↰⪸2704⋝⋈⪟⫖↰⪸1240))=NaN","reverse_text":"NaN=(((⫖↰⪸4093⊦⊿)/⫖↰⪸B51⨳⩥⨓⫖↰⪸3175)⫥∨⫟(≦∁⫖↰⪸1793⊉≛↸⫖↰⪸10A3))∼((⫖↰⪸3921⨳⩥⨓⫖↰⪸880)⪮%⊝(⫖↰⪸2959⊭↱⫖↰⪸709)-(↥⫖↰⪸2704⋝⋈⪟⫖↰⪸1240))","cot":[{"info":"⫖↰⪸4093⊦⊿=⫖↰⪸-102A4","layer":3},{"info":"⫖↰⪸B51⨳⩥⨓⫖↰⪸3175=⫖↰⪸2224","layer":3},{"info":"⫖↰⪸-102A4/⫖↰⪸2224=⫖↰⪸-6","layer":2},{"info":"⫖↰⪸1793⊉≛↸⫖↰⪸10A3=⫖↰⪸3366","layer":3},{"info":"≦∁⫖↰⪸3366=⫖↰⪸3366","layer":2},{"info":"⫖↰⪸-6⫥∨⫟⫖↰⪸3366=NaN","layer":1},{"info":"⫖↰⪸3921⨳⩥⨓⫖↰⪸880=⫖↰⪸-3061","layer":3},{"info":"⫖↰⪸2959⊭↱⫖↰⪸709=⫖↰⪸-4497","layer":3},{"info":"⫖↰⪸-3061⪮%⊝⫖↰⪸-4497=⫖↰⪸-5A9A","layer":2},{"info":"⫖↰⪸2704⋝⋈⪟⫖↰⪸1240=⫖↰⪸2704","layer":3},{"info":"↥⫖↰⪸2704=⫖↰⪸27","layer":2},{"info":"⫖↰⪸-5A9A-⫖↰⪸27=⫖↰⪸-5B05","layer":1},{"info":"NaN∼⫖↰⪸-5B05=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"⨈⫕($5110$⨽$4594$)⪘⫢($2735$⪐)+⇶⊼($6957$≎⊠⪸$1993$)⨟⋌⩍($2094$⇼⇔∾$6077$)","expression":"⨈⫕(⫖↰⪸2B5A⨽⫖↰⪸27AA)⪘⫢(⫖↰⪸16BB⪐)+⇶⊼(⫖↰⪸4039≎⊠⪸⫖↰⪸11A1)⨟⋌⩍(⫖↰⪸1266⇼⇔∾⫖↰⪸3625)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5790,"operation_count":8,"complexity_ratio":723.75,"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":5110,"base":12},"right_expr":{"type":"numeric_atoms","value":4594,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2735,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6957,"base":12},"right_expr":{"type":"numeric_atoms","value":1993,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2094,"base":12},"right_expr":{"type":"numeric_atoms","value":6077,"base":12}}}}},"used_operators":["megm06wKyl","TpPTUOHfaN","oacrs7FA3X","8HhzD0ZcuI","eH2TOUuTDT","rGHVDoGpnC","bJkvcejdHO","tifHPKVTfV"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5110","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=5110, right_input=4594, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-78348768","layer":3},{"info":"number node, value=2735","layer":4},{"info":"compute unary expreesion, input=2735, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5470","layer":3},{"info":"compute binary expreesion, left_input=-78348768, right_input=5470, 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=6957","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=6957, right_input=1993, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1801390","layer":3},{"info":"number node, value=2094","layer":4},{"info":"number node, value=6077","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=6077, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3983","layer":3},{"info":"compute binary expreesion, left_input=1801390, right_input=3983, 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=-1, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"⨈⫕(⫖↰⪸2B5A⨽⫖↰⪸27AA)⪘⫢(⫖↰⪸16BB⪐)+⇶⊼(⫖↰⪸4039≎⊠⪸⫖↰⪸11A1)⨟⋌⩍(⫖↰⪸1266⇼⇔∾⫖↰⪸3625)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⫖↰⪸2B5A⨽⫖↰⪸27AA)⪘⫢(⫖↰⪸16BB⪐)+⇶⊼(⫖↰⪸4039≎⊠⪸⫖↰⪸11A1)⨟⋌⩍(⫖↰⪸1266⇼⇔∾⫖↰⪸3625)","cot":[{"info":"⫖↰⪸2B5A⨽⫖↰⪸27AA=⫖↰⪸-222A4880","layer":3},{"info":"⫖↰⪸16BB⪐=⫖↰⪸31BA","layer":3},{"info":"⫖↰⪸-222A4880⪘⫢⫖↰⪸31BA=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸4039≎⊠⪸⫖↰⪸11A1=⫖↰⪸72A57A","layer":3},{"info":"⫖↰⪸1266⇼⇔∾⫖↰⪸3625=⫖↰⪸237B","layer":3},{"info":"⫖↰⪸72A57A⨟⋌⩍⫖↰⪸237B=NaN","layer":2},{"info":"⫖↰⪸-1+⇶⊼NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":270,"expression_no_base_symbol":"((∥⊫(∥⊫$1997$))≎⊠⪸($1144$⪢$3055$⫡⨏$1530$⨳⩥⨓$1053$))≧⫂∧((∥⊫$1623$⪘⫢$1843$)⨰(⨈⫕($6853$∲⫓$1950$)))","expression":"((∥⊫(∥⊫⫖↰⪸11A5))≎⊠⪸(⫖↰⪸7B4⪢⫖↰⪸1927⫡⨏⫖↰⪸A76⨳⩥⨓⫖↰⪸739))≧⫂∧((∥⊫⫖↰⪸B33⪘⫢⫖↰⪸1097)⨰(⨈⫕(⫖↰⪸3B71∲⫓⫖↰⪸1166)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3498,"operation_count":12,"complexity_ratio":291.5,"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":1997,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":3055,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1530,"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":1623,"base":12},"right_expr":{"type":"numeric_atoms","value":1843,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6853,"base":12},"right_expr":{"type":"numeric_atoms","value":1950,"base":12}}}}},"used_operators":["Ph9nP6C5qx","bJkvcejdHO","P8v4zCKN1o","QMFrweE19q","dWAJyo7jo9","nCS4ZIUYfx","eewbuw0ToL","oacrs7FA3X","megm06wKyl","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2078","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1997","layer":4},{"info":"compute unary expreesion, input=1997, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2865","layer":3},{"info":"compute unary expreesion, input=2865, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3733","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=3055, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1530","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=1053, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-477","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-477, 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=3733, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1623","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1843, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3122","layer":3},{"info":"compute unary expreesion, input=3122, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3990","layer":2},{"info":"number node, value=6853","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=6853, right_input=1950, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 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=3990, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4021","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=4021, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3548","layer":0}],"base":12,"result_base":12,"text":"((∥⊫(∥⊫⫖↰⪸11A5))≎⊠⪸(⫖↰⪸7B4⪢⫖↰⪸1927⫡⨏⫖↰⪸A76⨳⩥⨓⫖↰⪸739))≧⫂∧((∥⊫⫖↰⪸B33⪘⫢⫖↰⪸1097)⨰(⨈⫕(⫖↰⪸3B71∲⫓⫖↰⪸1166)))=⫖↰⪸2078","reverse_text":"⫖↰⪸2078=((∥⊫(∥⊫⫖↰⪸11A5))≎⊠⪸(⫖↰⪸7B4⪢⫖↰⪸1927⫡⨏⫖↰⪸A76⨳⩥⨓⫖↰⪸739))≧⫂∧((∥⊫⫖↰⪸B33⪘⫢⫖↰⪸1097)⨰(⨈⫕(⫖↰⪸3B71∲⫓⫖↰⪸1166)))","cot":[{"info":"∥⊫⫖↰⪸11A5=⫖↰⪸17A9","layer":3},{"info":"∥⊫⫖↰⪸17A9=⫖↰⪸21B1","layer":2},{"info":"⫖↰⪸7B4⪢⫖↰⪸1927=NaN","layer":3},{"info":"⫖↰⪸A76⨳⩥⨓⫖↰⪸739=⫖↰⪸-339","layer":3},{"info":"NaN⫡⨏⫖↰⪸-339=NaN","layer":2},{"info":"⫖↰⪸21B1≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸B33⪘⫢⫖↰⪸1097=⫖↰⪸1982","layer":3},{"info":"∥⊫⫖↰⪸1982=⫖↰⪸2386","layer":2},{"info":"⫖↰⪸3B71∲⫓⫖↰⪸1166=⫖↰⪸0","layer":3},{"info":"⨈⫕⫖↰⪸0=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸2386⨰⫖↰⪸-19=⫖↰⪸23B1","layer":1},{"info":"⫖↰⪸57≧⫂∧⫖↰⪸23B1=⫖↰⪸2078","layer":0}]}
{"id":271,"expression_no_base_symbol":"$1140$∀⇚≩$1445$⨐⩸⫘(⨵≀≌$4926$)⊉≛↸($2675$∑⇟⊟$5010$)∀⇚≩($6587$⨽$3935$)⪒(∥⊫($1177$⨪↰⇹$8227$+($2911$↪⪝)))","expression":"⫖↰⪸7B0∀⇚≩⫖↰⪸A05⨐⩸⫘(⨵≀≌⫖↰⪸2A26)⊉≛↸(⫖↰⪸166B∑⇟⊟⫖↰⪸2A96)∀⇚≩(⫖↰⪸398B⨽⫖↰⪸233B)⪒(∥⊫(⫖↰⪸821⨪↰⇹⫖↰⪸4917+(⫖↰⪸1827↪⪝)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16469,"operation_count":12,"complexity_ratio":1372.4166666666667,"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":1140,"base":12},"right_expr":{"type":"numeric_atoms","value":1445,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4926,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2675,"base":12},"right_expr":{"type":"numeric_atoms","value":5010,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6587,"base":12},"right_expr":{"type":"numeric_atoms","value":3935,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1177,"base":12},"right_expr":{"type":"numeric_atoms","value":8227,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2911,"base":12}}}}},"used_operators":["f6k1SAg4EE","DZ8iAZOCBD","fu6greOZ01","LRNGc0VcxI","srAu1WTS94","U7g4x0WXJJ","8HhzD0ZcuI","P8v4zCKN1o","W4YGzv6Whe","tmPS8pqC7x","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1445, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4926","layer":4},{"info":"compute unary expreesion, input=4926, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14778","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14778, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2675","layer":4},{"info":"number node, value=5010","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=5010, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=6587","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=6587, right_input=3935, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-130176198","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-130176198, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1177","layer":4},{"info":"number node, value=8227","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=8227, 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=1177","layer":3},{"info":"number node, value=2911","layer":4},{"info":"compute unary expreesion, input=2911, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=178100802","layer":3},{"info":"compute binary expreesion, left_input=1177, right_input=178100802, op_id = W4YGzv6Whe binary_op_definition= 'None', output=178101979","layer":2},{"info":"compute unary expreesion, input=178101979, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=178102847","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=178102847, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7B0∀⇚≩⫖↰⪸A05⨐⩸⫘(⨵≀≌⫖↰⪸2A26)⊉≛↸(⫖↰⪸166B∑⇟⊟⫖↰⪸2A96)∀⇚≩(⫖↰⪸398B⨽⫖↰⪸233B)⪒(∥⊫(⫖↰⪸821⨪↰⇹⫖↰⪸4917+(⫖↰⪸1827↪⪝)))=NaN","reverse_text":"NaN=⫖↰⪸7B0∀⇚≩⫖↰⪸A05⨐⩸⫘(⨵≀≌⫖↰⪸2A26)⊉≛↸(⫖↰⪸166B∑⇟⊟⫖↰⪸2A96)∀⇚≩(⫖↰⪸398B⨽⫖↰⪸233B)⪒(∥⊫(⫖↰⪸821⨪↰⇹⫖↰⪸4917+(⫖↰⪸1827↪⪝)))","cot":[{"info":"⫖↰⪸7B0∀⇚≩⫖↰⪸A05=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸2A26=⫖↰⪸-8676","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸-8676=NaN","layer":2},{"info":"⫖↰⪸166B∑⇟⊟⫖↰⪸2A96=NaN","layer":3},{"info":"⫖↰⪸398B⨽⫖↰⪸233B=⫖↰⪸-37719546","layer":3},{"info":"NaN∀⇚≩⫖↰⪸-37719546=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⫖↰⪸821⨪↰⇹⫖↰⪸4917=⫖↰⪸821","layer":3},{"info":"⫖↰⪸1827↪⪝=⫖↰⪸4B78B716","layer":3},{"info":"⫖↰⪸821+⫖↰⪸4B78B716=⫖↰⪸4B790337","layer":2},{"info":"∥⊫⫖↰⪸4B790337=⫖↰⪸4B79093B","layer":1},{"info":"NaN⪒⫖↰⪸4B79093B=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"($1278$⨟⋌⩍$1626$⫸⊐($1434$%$1778$)⊭↱((⩦⩻⨪$1138$)⊪))⊴((($1222$%$3599$)⫌⩹⨱)⨎($3571$⨪↰⇹$5323$)∀⇚≩(≤/$2057$))","expression":"(⫖↰⪸8A6⨟⋌⩍⫖↰⪸B36⫸⊐(⫖↰⪸9B6%⫖↰⪸1042)⊭↱((⩦⩻⨪⫖↰⪸7AA)⊪))⊴(((⫖↰⪸85A%⫖↰⪸20BB)⫌⩹⨱)⨎(⫖↰⪸2097⨪↰⇹⫖↰⪸30B7)∀⇚≩(≤/⫖↰⪸1235))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28633,"operation_count":13,"complexity_ratio":2202.5384615384614,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1278,"base":12},"right_expr":{"type":"numeric_atoms","value":1626,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1434,"base":12},"right_expr":{"type":"numeric_atoms","value":1778,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1138,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1222,"base":12},"right_expr":{"type":"numeric_atoms","value":3599,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3571,"base":12},"right_expr":{"type":"numeric_atoms","value":5323,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2057,"base":12}}}}},"used_operators":["Nsiff2A1zJ","COABgblf1C","mqXw5SEYmG","rGHVDoGpnC","k8jYdgA6NY","zVYPLywUTj","2td37pGCOC","rJVOvQCfKK","EBcxylXtPf","LRNGc0VcxI","tmPS8pqC7x","eLAdDNolq6"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=1626, 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=1434","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=1778, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1434, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1138","layer":3},{"info":"compute unary expreesion, input=1138, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1222","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=3599, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1222","layer":3},{"info":"compute unary expreesion, input=1222, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3845","layer":2},{"info":"number node, value=3571","layer":4},{"info":"number node, value=5323","layer":4},{"info":"compute binary expreesion, left_input=3571, right_input=5323, 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=3571","layer":3},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1573","layer":3},{"info":"compute binary expreesion, left_input=3571, right_input=-1573, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3845, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸8A6⨟⋌⩍⫖↰⪸B36⫸⊐(⫖↰⪸9B6%⫖↰⪸1042)⊭↱((⩦⩻⨪⫖↰⪸7AA)⊪))⊴(((⫖↰⪸85A%⫖↰⪸20BB)⫌⩹⨱)⨎(⫖↰⪸2097⨪↰⇹⫖↰⪸30B7)∀⇚≩(≤/⫖↰⪸1235))=NaN","reverse_text":"NaN=(⫖↰⪸8A6⨟⋌⩍⫖↰⪸B36⫸⊐(⫖↰⪸9B6%⫖↰⪸1042)⊭↱((⩦⩻⨪⫖↰⪸7AA)⊪))⊴(((⫖↰⪸85A%⫖↰⪸20BB)⫌⩹⨱)⨎(⫖↰⪸2097⨪↰⇹⫖↰⪸30B7)∀⇚≩(≤/⫖↰⪸1235))","cot":[{"info":"⫖↰⪸8A6⨟⋌⩍⫖↰⪸B36=NaN","layer":3},{"info":"⫖↰⪸9B6%⫖↰⪸1042=⫖↰⪸9B6","layer":3},{"info":"NaN⫸⊐⫖↰⪸9B6=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸7AA=⫖↰⪸7AA","layer":3},{"info":"⫖↰⪸7AA⊪=⫖↰⪸0","layer":2},{"info":"NaN⊭↱⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸85A%⫖↰⪸20BB=⫖↰⪸85A","layer":3},{"info":"⫖↰⪸85A⫌⩹⨱=⫖↰⪸2285","layer":2},{"info":"⫖↰⪸2097⨪↰⇹⫖↰⪸30B7=⫖↰⪸2097","layer":3},{"info":"≤/⫖↰⪸1235=⫖↰⪸-AB1","layer":3},{"info":"⫖↰⪸2097∀⇚≩⫖↰⪸-AB1=NaN","layer":2},{"info":"⫖↰⪸2285⨎NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"(($4365$⨟⋌⩍$4603$⋷(≤/$5508$))⊉≛↸($4482$≋⫹)⪘⫢(⪲⇎$1439$))∀⇚≩((⩦⩻⨪(⩦⩻⨪$2732$))≧⫂∧(↩$4018$∑⇟⊟$1272$))","expression":"((⫖↰⪸2639⨟⋌⩍⫖↰⪸27B7⋷(≤/⫖↰⪸3230))⊉≛↸(⫖↰⪸2716≋⫹)⪘⫢(⪲⇎⫖↰⪸9BB))∀⇚≩((⩦⩻⨪(⩦⩻⨪⫖↰⪸16B8))≧⫂∧(↩⫖↰⪸23AA∑⇟⊟⫖↰⪸8A0))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48,"operation_count":13,"complexity_ratio":3.6923076923076925,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4365,"base":12},"right_expr":{"type":"numeric_atoms","value":4603,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5508,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4482,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1439,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2732,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4018,"base":12},"right_expr":{"type":"numeric_atoms","value":1272,"base":12}}}}},"used_operators":["LRNGc0VcxI","DZ8iAZOCBD","23Mk6UjR3U","rGHVDoGpnC","eLAdDNolq6","oacrs7FA3X","N41Kp7NANJ","XPYlsWDdGa","Ph9nP6C5qx","2td37pGCOC","jLgFTUHLKL","U7g4x0WXJJ"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4365","layer":4},{"info":"number node, value=4603","layer":4},{"info":"compute binary expreesion, left_input=4365, right_input=4603, 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=5508","layer":4},{"info":"compute unary expreesion, input=5508, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5024","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5024, 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=4482","layer":4},{"info":"compute unary expreesion, input=4482, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8964","layer":3},{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2878","layer":3},{"info":"compute binary expreesion, left_input=-8964, right_input=2878, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2732","layer":3},{"info":"compute unary expreesion, input=2732, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2732","layer":2},{"info":"number node, value=4018","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=1272, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2732, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"((⫖↰⪸2639⨟⋌⩍⫖↰⪸27B7⋷(≤/⫖↰⪸3230))⊉≛↸(⫖↰⪸2716≋⫹)⪘⫢(⪲⇎⫖↰⪸9BB))∀⇚≩((⩦⩻⨪(⩦⩻⨪⫖↰⪸16B8))≧⫂∧(↩⫖↰⪸23AA∑⇟⊟⫖↰⪸8A0))=NaN","reverse_text":"NaN=((⫖↰⪸2639⨟⋌⩍⫖↰⪸27B7⋷(≤/⫖↰⪸3230))⊉≛↸(⫖↰⪸2716≋⫹)⪘⫢(⪲⇎⫖↰⪸9BB))∀⇚≩((⩦⩻⨪(⩦⩻⨪⫖↰⪸16B8))≧⫂∧(↩⫖↰⪸23AA∑⇟⊟⫖↰⪸8A0))","cot":[{"info":"⫖↰⪸2639⨟⋌⩍⫖↰⪸27B7=NaN","layer":3},{"info":"≤/⫖↰⪸3230=⫖↰⪸-2AA8","layer":3},{"info":"NaN⋷⫖↰⪸-2AA8=NaN","layer":2},{"info":"⫖↰⪸2716≋⫹=⫖↰⪸-5230","layer":3},{"info":"⪲⇎⫖↰⪸9BB=⫖↰⪸17BA","layer":3},{"info":"⫖↰⪸-5230⪘⫢⫖↰⪸17BA=⫖↰⪸-1","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-1=NaN","layer":1},{"info":"⩦⩻⨪⫖↰⪸16B8=⫖↰⪸16B8","layer":3},{"info":"⩦⩻⨪⫖↰⪸16B8=⫖↰⪸16B8","layer":2},{"info":"⫖↰⪸23AA∑⇟⊟⫖↰⪸8A0=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⫖↰⪸16B8≧⫂∧NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"⊄⩳↩(↩(($3984$≫≃)⩨$2017$⋳⪒$1582$))","expression":"⊄⩳↩(↩((⫖↰⪸2380≫≃)⩨⫖↰⪸1201⋳⪒⫖↰⪸ABA))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40,"operation_count":5,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3984,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2017,"base":12},"right_expr":{"type":"numeric_atoms","value":1582,"base":12}}}}},"used_operators":["8w2t5hMYqp","jLgFTUHLKL","2DlMacCsIx","X99M06cbEe","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-84B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3984","layer":4},{"info":"compute unary expreesion, input=3984, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9369","layer":3},{"info":"number node, value=2017","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=1582, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2165","layer":3},{"info":"compute binary expreesion, left_input=9369, right_input=2165, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":1},{"info":"compute unary expreesion, input=4844, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14532","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(↩((⫖↰⪸2380≫≃)⩨⫖↰⪸1201⋳⪒⫖↰⪸ABA))=⫖↰⪸-84B0","reverse_text":"⫖↰⪸-84B0=⊄⩳↩(↩((⫖↰⪸2380≫≃)⩨⫖↰⪸1201⋳⪒⫖↰⪸ABA))","cot":[{"info":"⫖↰⪸2380≫≃=⫖↰⪸5509","layer":3},{"info":"⫖↰⪸1201⋳⪒⫖↰⪸ABA=⫖↰⪸1305","layer":3},{"info":"⫖↰⪸5509⩨⫖↰⪸1305=⫖↰⪸0","layer":2},{"info":"↩⫖↰⪸0=⫖↰⪸2978","layer":1},{"info":"⊄⩳↩⫖↰⪸2978=⫖↰⪸-84B0","layer":0}]}
{"id":275,"expression_no_base_symbol":"(($7662$⪘⫢$4734$⪐)↺(($7368$⪠⩆⊳)⨸⪁$1795$⨽$3277$))+⇶⊼(↥(($5986$⪒$1346$)↺(∥⊫$1888$)))","expression":"((⫖↰⪸4526⪘⫢⫖↰⪸28A6⪐)↺((⫖↰⪸4320⪠⩆⊳)⨸⪁⫖↰⪸1057⨽⫖↰⪸1A91))+⇶⊼(↥((⫖↰⪸356A⪒⫖↰⪸942)↺(∥⊫⫖↰⪸1114)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9676491,"operation_count":11,"complexity_ratio":879681.0,"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":7662,"base":12},"right_expr":{"type":"numeric_atoms","value":4734,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":7368,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1795,"base":12},"right_expr":{"type":"numeric_atoms","value":3277,"base":12}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5986,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1888,"base":12}}}}},"used_operators":["TpPTUOHfaN","7j4O788W3g","eH2TOUuTDT","oacrs7FA3X","g55IO6H4Gj","JLbD19bQDL","8HhzD0ZcuI","A8NUZmVepG","f6k1SAg4EE","P8v4zCKN1o"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7662","layer":4},{"info":"number node, value=4734","layer":4},{"info":"compute binary expreesion, left_input=7662, 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=15200","layer":3},{"info":"compute unary expreesion, input=15200, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=30400","layer":2},{"info":"number node, value=7368","layer":4},{"info":"compute unary expreesion, input=7368, 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=1795","layer":4},{"info":"number node, value=3277","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=3277, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9674592","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9674592, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-19349184","layer":2},{"info":"compute binary expreesion, left_input=30400, right_input=-19349184, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-19349184","layer":1},{"info":"number node, value=5986","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=5986, right_input=1346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7332","layer":3},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2756","layer":3},{"info":"compute binary expreesion, left_input=-7332, right_input=2756, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2756","layer":2},{"info":"compute unary expreesion, input=2756, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=2","layer":1},{"info":"compute binary expreesion, left_input=-19349184, right_input=2, 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":"((⫖↰⪸4526⪘⫢⫖↰⪸28A6⪐)↺((⫖↰⪸4320⪠⩆⊳)⨸⪁⫖↰⪸1057⨽⫖↰⪸1A91))+⇶⊼(↥((⫖↰⪸356A⪒⫖↰⪸942)↺(∥⊫⫖↰⪸1114)))=NaN","reverse_text":"NaN=((⫖↰⪸4526⪘⫢⫖↰⪸28A6⪐)↺((⫖↰⪸4320⪠⩆⊳)⨸⪁⫖↰⪸1057⨽⫖↰⪸1A91))+⇶⊼(↥((⫖↰⪸356A⪒⫖↰⪸942)↺(∥⊫⫖↰⪸1114)))","cot":[{"info":"⫖↰⪸4526⪘⫢⫖↰⪸28A6=⫖↰⪸8968","layer":3},{"info":"⫖↰⪸8968⪐=⫖↰⪸15714","layer":2},{"info":"⫖↰⪸4320⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1057⨽⫖↰⪸1A91=⫖↰⪸-32A6880","layer":3},{"info":"⫖↰⪸0⨸⪁⫖↰⪸-32A6880=⫖↰⪸-6591540","layer":2},{"info":"⫖↰⪸15714↺⫖↰⪸-6591540=⫖↰⪸-6591540","layer":1},{"info":"⫖↰⪸356A⪒⫖↰⪸942=⫖↰⪸-42B0","layer":3},{"info":"∥⊫⫖↰⪸1114=⫖↰⪸1718","layer":3},{"info":"⫖↰⪸-42B0↺⫖↰⪸1718=⫖↰⪸1718","layer":2},{"info":"↥⫖↰⪸1718=⫖↰⪸2","layer":1},{"info":"⫖↰⪸-6591540+⇶⊼⫖↰⪸2=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"(↯⪼($5748$∲⫓$5201$))⨟⋌⩍(($1211$⩤)⪒($2129$⨵⪆$3525$))⨽(($3946$⇷$3977$⨵⪆$1095$≎⊠⪸$4679$)⪄($1348$⋥≓≎$4172$)⩷∴$2331$∀⇚≩$2334$)","expression":"(↯⪼(⫖↰⪸33B0∲⫓⫖↰⪸3015))⨟⋌⩍((⫖↰⪸84B⩤)⪒(⫖↰⪸1295⨵⪆⫖↰⪸2059))⨽((⫖↰⪸234A⇷⫖↰⪸2375⨵⪆⫖↰⪸773≎⊠⪸⫖↰⪸285B)⪄(⫖↰⪸944⋥≓≎⫖↰⪸24B8)⩷∴⫖↰⪸1423∀⇚≩⫖↰⪸1426)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":71991,"operation_count":14,"complexity_ratio":5142.214285714285,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5748,"base":12},"right_expr":{"type":"numeric_atoms","value":5201,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1211,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2129,"base":12},"right_expr":{"type":"numeric_atoms","value":3525,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3946,"base":12},"right_expr":{"type":"numeric_atoms","value":3977,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":4679,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1348,"base":12},"right_expr":{"type":"numeric_atoms","value":4172,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2331,"base":12},"right_expr":{"type":"numeric_atoms","value":2334,"base":12}}}}},"used_operators":["8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","i8ToyICDmI","f6k1SAg4EE","Z2TMIBDE3Q","2DQ55sFlQl","SUmda5xLS4","mp7IySMOzn","bJkvcejdHO","9FxExcQeMw","Qy55tPpLXF","LRNGc0VcxI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5748","layer":4},{"info":"number node, value=5201","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=5201, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1211","layer":3},{"info":"number node, value=2129","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=3525, 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=-1211, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1051","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=1051, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3946","layer":4},{"info":"number node, value=3977","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=3977, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7954","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=4679","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=4679, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=283132","layer":3},{"info":"compute binary expreesion, left_input=7954, right_input=283132, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=4172","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=4172, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7029","layer":3},{"info":"number node, value=2331","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=2334, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7029, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(↯⪼(⫖↰⪸33B0∲⫓⫖↰⪸3015))⨟⋌⩍((⫖↰⪸84B⩤)⪒(⫖↰⪸1295⨵⪆⫖↰⪸2059))⨽((⫖↰⪸234A⇷⫖↰⪸2375⨵⪆⫖↰⪸773≎⊠⪸⫖↰⪸285B)⪄(⫖↰⪸944⋥≓≎⫖↰⪸24B8)⩷∴⫖↰⪸1423∀⇚≩⫖↰⪸1426)=NaN","reverse_text":"NaN=(↯⪼(⫖↰⪸33B0∲⫓⫖↰⪸3015))⨟⋌⩍((⫖↰⪸84B⩤)⪒(⫖↰⪸1295⨵⪆⫖↰⪸2059))⨽((⫖↰⪸234A⇷⫖↰⪸2375⨵⪆⫖↰⪸773≎⊠⪸⫖↰⪸285B)⪄(⫖↰⪸944⋥≓≎⫖↰⪸24B8)⩷∴⫖↰⪸1423∀⇚≩⫖↰⪸1426)","cot":[{"info":"⫖↰⪸33B0∲⫓⫖↰⪸3015=⫖↰⪸0","layer":3},{"info":"↯⪼⫖↰⪸0=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸84B⩤=⫖↰⪸-84B","layer":3},{"info":"⫖↰⪸1295⨵⪆⫖↰⪸2059=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-84B⪒⫖↰⪸114=⫖↰⪸737","layer":2},{"info":"⫖↰⪸-19⨟⋌⩍⫖↰⪸737=NaN","layer":1},{"info":"⫖↰⪸234A⇷⫖↰⪸2375=⫖↰⪸472A","layer":3},{"info":"⫖↰⪸773≎⊠⪸⫖↰⪸285B=⫖↰⪸117A24","layer":3},{"info":"⫖↰⪸472A⨵⪆⫖↰⪸117A24=⫖↰⪸114","layer":2},{"info":"⫖↰⪸944⋥≓≎⫖↰⪸24B8=⫖↰⪸4099","layer":3},{"info":"⫖↰⪸1423∀⇚≩⫖↰⪸1426=NaN","layer":3},{"info":"⫖↰⪸4099⩷∴NaN=NaN","layer":2},{"info":"⫖↰⪸114⪄NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":277,"expression_no_base_symbol":"(($4046$⩠)-$5890$≧⫂∧$2189$)⨪↰⇹($4889$∼$7233$⩚⊴⇥($1020$-$1770$))⨸⪁(($2433$↛⩡⫤)⨽(⊙↵-$1719$))⨓($4754$⩷∴$1264$*($4488$⨸⪁$6517$))","expression":"((⫖↰⪸2412⩠)-⫖↰⪸34AA≧⫂∧⫖↰⪸1325)⨪↰⇹(⫖↰⪸29B5∼⫖↰⪸4229⩚⊴⇥(⫖↰⪸710-⫖↰⪸1036))⨸⪁((⫖↰⪸14A9↛⩡⫤)⨽(⊙↵-⫖↰⪸BB3))⨓(⫖↰⪸2902⩷∴⫖↰⪸894*(⫖↰⪸2720⨸⪁⫖↰⪸3931))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":381483,"operation_count":15,"complexity_ratio":25432.2,"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":4046,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5890,"base":12},"right_expr":{"type":"numeric_atoms","value":2189,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4889,"base":12},"right_expr":{"type":"numeric_atoms","value":7233,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1020,"base":12},"right_expr":{"type":"numeric_atoms","value":1770,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2433,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1719,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4754,"base":12},"right_expr":{"type":"numeric_atoms","value":1264,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4488,"base":12},"right_expr":{"type":"numeric_atoms","value":6517,"base":12}}}}},"used_operators":["g55IO6H4Gj","tmPS8pqC7x","rysDP5nf3Z","sJAwomhLZr","Ph9nP6C5qx","NTOWxs364D","DyGG3AbaNP","3ViojmjbAp","8HhzD0ZcuI","FU0Cs4j7VP","oWn0xqSxBt","9HNa5Wba9A","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4046","layer":4},{"info":"compute unary expreesion, input=4046, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5890","layer":4},{"info":"number node, value=2189","layer":4},{"info":"compute binary expreesion, left_input=5890, right_input=2189, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1716","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1716, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1716","layer":2},{"info":"number node, value=4889","layer":4},{"info":"number node, value=7233","layer":4},{"info":"compute binary expreesion, left_input=4889, right_input=7233, 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=1020","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1770, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-750","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-750, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1716, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-1716","layer":1},{"info":"number node, value=2433","layer":4},{"info":"compute unary expreesion, input=2433, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-363472","layer":3},{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-363472, right_input=-1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=4754","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=1264, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6948","layer":3},{"info":"number node, value=4488","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=6517, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22010","layer":3},{"info":"compute binary expreesion, left_input=6948, right_input=22010, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=152925480","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=152925480, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1716, 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":"((⫖↰⪸2412⩠)-⫖↰⪸34AA≧⫂∧⫖↰⪸1325)⨪↰⇹(⫖↰⪸29B5∼⫖↰⪸4229⩚⊴⇥(⫖↰⪸710-⫖↰⪸1036))⨸⪁((⫖↰⪸14A9↛⩡⫤)⨽(⊙↵-⫖↰⪸BB3))⨓(⫖↰⪸2902⩷∴⫖↰⪸894*(⫖↰⪸2720⨸⪁⫖↰⪸3931))=NaN","reverse_text":"NaN=((⫖↰⪸2412⩠)-⫖↰⪸34AA≧⫂∧⫖↰⪸1325)⨪↰⇹(⫖↰⪸29B5∼⫖↰⪸4229⩚⊴⇥(⫖↰⪸710-⫖↰⪸1036))⨸⪁((⫖↰⪸14A9↛⩡⫤)⨽(⊙↵-⫖↰⪸BB3))⨓(⫖↰⪸2902⩷∴⫖↰⪸894*(⫖↰⪸2720⨸⪁⫖↰⪸3931))","cot":[{"info":"⫖↰⪸2412⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸34AA≧⫂∧⫖↰⪸1325=⫖↰⪸BB0","layer":3},{"info":"⫖↰⪸0-⫖↰⪸BB0=⫖↰⪸-BB0","layer":2},{"info":"⫖↰⪸29B5∼⫖↰⪸4229=NaN","layer":3},{"info":"⫖↰⪸710-⫖↰⪸1036=⫖↰⪸-526","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸-526=NaN","layer":2},{"info":"⫖↰⪸-BB0⨪↰⇹NaN=⫖↰⪸-BB0","layer":1},{"info":"⫖↰⪸14A9↛⩡⫤=⫖↰⪸-156414","layer":3},{"info":"⊙↵-⫖↰⪸BB3=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-156414⨽⫖↰⪸-1=-Inf","layer":2},{"info":"⫖↰⪸2902⩷∴⫖↰⪸894=⫖↰⪸4030","layer":3},{"info":"⫖↰⪸2720⨸⪁⫖↰⪸3931=⫖↰⪸108A2","layer":3},{"info":"⫖↰⪸4030*⫖↰⪸108A2=⫖↰⪸4326A660","layer":2},{"info":"-Inf⨓⫖↰⪸4326A660=NaN","layer":1},{"info":"⫖↰⪸-BB0⨸⪁NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"(↔(($1106$≫≃)≎⊠⪸$3299$⇷$1759$))⨐⩸⫘(∥⊫($7089$≎⊠⪸$1340$⪨≂(↣≠⋷$1557$)))","expression":"(↔((⫖↰⪸782≫≃)≎⊠⪸⫖↰⪸1AAB⇷⫖↰⪸1027))⨐⩸⫘(∥⊫(⫖↰⪸4129≎⊠⪸⫖↰⪸938⪨≂(↣≠⋷⫖↰⪸A99)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":46758,"operation_count":9,"complexity_ratio":5195.333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1106,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3299,"base":12},"right_expr":{"type":"numeric_atoms","value":1759,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7089,"base":12},"right_expr":{"type":"numeric_atoms","value":1340,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1557,"base":12}}}}},"used_operators":["fu6greOZ01","ruOEQAzv1W","bJkvcejdHO","X99M06cbEe","mp7IySMOzn","P8v4zCKN1o","sdazOOVcIp","Asc51vEJeQ"],"dependent_operators":["3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3613","layer":3},{"info":"number node, value=3299","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=1759, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3518","layer":3},{"info":"compute binary expreesion, left_input=3613, right_input=3518, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=935294","layer":2},{"info":"compute unary expreesion, input=935294, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-935021","layer":1},{"info":"number node, value=7089","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=7089, right_input=1340, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1835578","layer":3},{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1835578, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-935021, 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":"(↔((⫖↰⪸782≫≃)≎⊠⪸⫖↰⪸1AAB⇷⫖↰⪸1027))⨐⩸⫘(∥⊫(⫖↰⪸4129≎⊠⪸⫖↰⪸938⪨≂(↣≠⋷⫖↰⪸A99)))=NaN","reverse_text":"NaN=(↔((⫖↰⪸782≫≃)≎⊠⪸⫖↰⪸1AAB⇷⫖↰⪸1027))⨐⩸⫘(∥⊫(⫖↰⪸4129≎⊠⪸⫖↰⪸938⪨≂(↣≠⋷⫖↰⪸A99)))","cot":[{"info":"⫖↰⪸782≫≃=⫖↰⪸2111","layer":3},{"info":"⫖↰⪸1AAB⇷⫖↰⪸1027=⫖↰⪸2052","layer":3},{"info":"⫖↰⪸2111≎⊠⪸⫖↰⪸2052=⫖↰⪸391312","layer":2},{"info":"↔⫖↰⪸391312=⫖↰⪸-391125","layer":1},{"info":"⫖↰⪸4129≎⊠⪸⫖↰⪸938=⫖↰⪸74630A","layer":3},{"info":"↣≠⋷⫖↰⪸A99=NaN","layer":3},{"info":"⫖↰⪸74630A⪨≂NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫖↰⪸-391125⨐⩸⫘NaN=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"(⨰⫟⨤($5499$⨸⪁$3390$))≧⫂∧($2652$⨟⋌⩍$1788$⩷∴($3296$≧⫂∧$1793$))⋷($4184$⩷∴$1005$+($2844$≋⫹))⊭↱($1609$⨵⪆$2899$)⨐⩸⫘$2323$≧⫂∧$7875$","expression":"(⨰⫟⨤(⫖↰⪸3223⨸⪁⫖↰⪸1B66))≧⫂∧(⫖↰⪸1650⨟⋌⩍⫖↰⪸1050⩷∴(⫖↰⪸1AA8≧⫂∧⫖↰⪸1055))⋷(⫖↰⪸2508⩷∴⫖↰⪸6B9+(⫖↰⪸1790≋⫹))⊭↱(⫖↰⪸B21⨵⪆⫖↰⪸1817)⨐⩸⫘⫖↰⪸1417≧⫂∧⫖↰⪸4683","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":70305,"operation_count":14,"complexity_ratio":5021.785714285715,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5499,"base":12},"right_expr":{"type":"numeric_atoms","value":3390,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2652,"base":12},"right_expr":{"type":"numeric_atoms","value":1788,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3296,"base":12},"right_expr":{"type":"numeric_atoms","value":1793,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4184,"base":12},"right_expr":{"type":"numeric_atoms","value":1005,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2844,"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":2899,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2323,"base":12},"right_expr":{"type":"numeric_atoms","value":7875,"base":12}}}}},"used_operators":["23Mk6UjR3U","Ph9nP6C5qx","Tw270M8GLb","g55IO6H4Gj","9FxExcQeMw","rGHVDoGpnC","COABgblf1C","W4YGzv6Whe","N41Kp7NANJ","fu6greOZ01","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5499","layer":4},{"info":"number node, value=3390","layer":4},{"info":"compute binary expreesion, left_input=5499, right_input=3390, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17778","layer":3},{"info":"compute unary expreesion, input=17778, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2652","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=1788, 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=3296","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=1793, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1320","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1320, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=4184","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4184, right_input=1005, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6326","layer":3},{"info":"number node, value=2844","layer":4},{"info":"compute unary expreesion, input=2844, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5688","layer":3},{"info":"compute binary expreesion, left_input=6326, right_input=-5688, op_id = W4YGzv6Whe binary_op_definition= 'None', output=638","layer":2},{"info":"number node, value=1609","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=2899, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2323","layer":4},{"info":"number node, value=7875","layer":4},{"info":"compute binary expreesion, left_input=2323, right_input=7875, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7402","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7402, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=638, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⨰⫟⨤(⫖↰⪸3223⨸⪁⫖↰⪸1B66))≧⫂∧(⫖↰⪸1650⨟⋌⩍⫖↰⪸1050⩷∴(⫖↰⪸1AA8≧⫂∧⫖↰⪸1055))⋷(⫖↰⪸2508⩷∴⫖↰⪸6B9+(⫖↰⪸1790≋⫹))⊭↱(⫖↰⪸B21⨵⪆⫖↰⪸1817)⨐⩸⫘⫖↰⪸1417≧⫂∧⫖↰⪸4683=NaN","reverse_text":"NaN=(⨰⫟⨤(⫖↰⪸3223⨸⪁⫖↰⪸1B66))≧⫂∧(⫖↰⪸1650⨟⋌⩍⫖↰⪸1050⩷∴(⫖↰⪸1AA8≧⫂∧⫖↰⪸1055))⋷(⫖↰⪸2508⩷∴⫖↰⪸6B9+(⫖↰⪸1790≋⫹))⊭↱(⫖↰⪸B21⨵⪆⫖↰⪸1817)⨐⩸⫘⫖↰⪸1417≧⫂∧⫖↰⪸4683","cot":[{"info":"⫖↰⪸3223⨸⪁⫖↰⪸1B66=⫖↰⪸A356","layer":3},{"info":"⨰⫟⨤⫖↰⪸A356=NaN","layer":2},{"info":"⫖↰⪸1650⨟⋌⩍⫖↰⪸1050=NaN","layer":3},{"info":"⫖↰⪸1AA8≧⫂∧⫖↰⪸1055=⫖↰⪸920","layer":3},{"info":"NaN⩷∴⫖↰⪸920=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⫖↰⪸2508⩷∴⫖↰⪸6B9=⫖↰⪸37B2","layer":3},{"info":"⫖↰⪸1790≋⫹=⫖↰⪸-3360","layer":3},{"info":"⫖↰⪸37B2+⫖↰⪸-3360=⫖↰⪸452","layer":2},{"info":"⫖↰⪸B21⨵⪆⫖↰⪸1817=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1417≧⫂∧⫖↰⪸4683=⫖↰⪸434A","layer":3},{"info":"⫖↰⪸114⨐⩸⫘⫖↰⪸434A=NaN","layer":2},{"info":"⫖↰⪸452⊭↱NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"↩(⪝⪂⫅(⨰⫟⨤($1902$⫸⊐$7053$)))","expression":"↩(⪝⪂⫅(⨰⫟⨤(⫖↰⪸1126⫸⊐⫖↰⪸40B9)))","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":111555,"operation_count":4,"complexity_ratio":27888.75,"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":1902,"base":12},"right_expr":{"type":"numeric_atoms","value":7053,"base":12}}}}},"used_operators":["jLgFTUHLKL","XTarYq4gQB","Tw270M8GLb","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"number node, value=7053","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=7053, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28087","layer":3},{"info":"compute unary expreesion, input=28087, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↩(⪝⪂⫅(⨰⫟⨤(⫖↰⪸1126⫸⊐⫖↰⪸40B9)))=NaN","reverse_text":"NaN=↩(⪝⪂⫅(⨰⫟⨤(⫖↰⪸1126⫸⊐⫖↰⪸40B9)))","cot":[{"info":"⫖↰⪸1126⫸⊐⫖↰⪸40B9=⫖↰⪸14307","layer":3},{"info":"⨰⫟⨤⫖↰⪸14307=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"⩦⩻⨪(($1608$⨽$4560$%(⪝⪂⫅$9514$))⪄(≤/$2802$)⫸⊐$3459$⨳⩥⨓$2387$)","expression":"⩦⩻⨪((⫖↰⪸B20⨽⫖↰⪸2780%(⪝⪂⫅⫖↰⪸560A))⪄(≤/⫖↰⪸1756)⫸⊐⫖↰⪸2003⨳⩥⨓⫖↰⪸146B)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1876,"operation_count":8,"complexity_ratio":234.5,"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":1608,"base":12},"right_expr":{"type":"numeric_atoms","value":4560,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":9514,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2802,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3459,"base":12},"right_expr":{"type":"numeric_atoms","value":2387,"base":12}}}}},"used_operators":["2td37pGCOC","SUmda5xLS4","k8jYdgA6NY","8HhzD0ZcuI","XTarYq4gQB","mqXw5SEYmG","eLAdDNolq6","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1608","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=4560, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7769358","layer":3},{"info":"number node, value=9514","layer":4},{"info":"compute unary expreesion, input=9514, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1398558","layer":3},{"info":"compute binary expreesion, left_input=-7769358, right_input=-1398558, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-776568","layer":2},{"info":"number node, value=2802","layer":4},{"info":"compute unary expreesion, input=2802, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2318","layer":3},{"info":"number node, value=3459","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=2387, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1072","layer":3},{"info":"compute binary expreesion, left_input=-2318, right_input=-1072, 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=-776568, right_input=968, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3979","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((⫖↰⪸B20⨽⫖↰⪸2780%(⪝⪂⫅⫖↰⪸560A))⪄(≤/⫖↰⪸1756)⫸⊐⫖↰⪸2003⨳⩥⨓⫖↰⪸146B)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=⩦⩻⨪((⫖↰⪸B20⨽⫖↰⪸2780%(⪝⪂⫅⫖↰⪸560A))⪄(≤/⫖↰⪸1756)⫸⊐⫖↰⪸2003⨳⩥⨓⫖↰⪸146B)","cot":[{"info":"⫖↰⪸B20⨽⫖↰⪸2780=⫖↰⪸-27281A6","layer":3},{"info":"⪝⪂⫅⫖↰⪸560A=⫖↰⪸-575426","layer":3},{"info":"⫖↰⪸-27281A6%⫖↰⪸-575426=⫖↰⪸-3154A0","layer":2},{"info":"≤/⫖↰⪸1756=⫖↰⪸-1412","layer":3},{"info":"⫖↰⪸2003⨳⩥⨓⫖↰⪸146B=⫖↰⪸-754","layer":3},{"info":"⫖↰⪸-1412⫸⊐⫖↰⪸-754=⫖↰⪸688","layer":2},{"info":"⫖↰⪸-3154A0⪄⫖↰⪸688=⫖↰⪸2377","layer":1},{"info":"⩦⩻⨪⫖↰⪸2377=⫖↰⪸2377","layer":0}]}
{"id":282,"expression_no_base_symbol":"((⩦⩻⨪$4926$+⇶⊼$1978$)⨁⊸⫻)⪮%⊝(($2153$⨳⩥⨓$1692$⨸⪁($1042$⫡⨏$2391$))∑⇟⊟(⨵≀≌$8596$)⨪↰⇹($4024$↪⪝))","expression":"((⩦⩻⨪⫖↰⪸2A26+⇶⊼⫖↰⪸118A)⨁⊸⫻)⪮%⊝((⫖↰⪸12B5⨳⩥⨓⫖↰⪸B90⨸⪁(⫖↰⪸72A⫡⨏⫖↰⪸1473))∑⇟⊟(⨵≀≌⫖↰⪸4B84)⨪↰⇹(⫖↰⪸23B4↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26519,"operation_count":11,"complexity_ratio":2410.818181818182,"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":4926,"base":12},"right_expr":{"type":"numeric_atoms","value":1978,"base":12}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2153,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1042,"base":12},"right_expr":{"type":"numeric_atoms","value":2391,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8596,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4024,"base":12}}}}},"used_operators":["IWmyXbctLI","glklzrTFfD","2td37pGCOC","TpPTUOHfaN","U7g4x0WXJJ","g55IO6H4Gj","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","srAu1WTS94","l07mrZUIn9"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4926","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=1978, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=2153","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=1692, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-461","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2391, 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=10775","layer":3},{"info":"compute binary expreesion, left_input=-461, right_input=10775, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20628","layer":2},{"info":"number node, value=8596","layer":4},{"info":"compute unary expreesion, input=8596, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-25788","layer":3},{"info":"number node, value=4024","layer":4},{"info":"compute unary expreesion, input=4024, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=246196368","layer":3},{"info":"compute binary expreesion, left_input=-25788, right_input=246196368, 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=-25788","layer":2},{"info":"compute binary expreesion, left_input=20628, right_input=-25788, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⩦⩻⨪⫖↰⪸2A26+⇶⊼⫖↰⪸118A)⨁⊸⫻)⪮%⊝((⫖↰⪸12B5⨳⩥⨓⫖↰⪸B90⨸⪁(⫖↰⪸72A⫡⨏⫖↰⪸1473))∑⇟⊟(⨵≀≌⫖↰⪸4B84)⨪↰⇹(⫖↰⪸23B4↪⪝))=NaN","reverse_text":"NaN=((⩦⩻⨪⫖↰⪸2A26+⇶⊼⫖↰⪸118A)⨁⊸⫻)⪮%⊝((⫖↰⪸12B5⨳⩥⨓⫖↰⪸B90⨸⪁(⫖↰⪸72A⫡⨏⫖↰⪸1473))∑⇟⊟(⨵≀≌⫖↰⪸4B84)⨪↰⇹(⫖↰⪸23B4↪⪝))","cot":[{"info":"⫖↰⪸2A26+⇶⊼⫖↰⪸118A=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⫖↰⪸12B5⨳⩥⨓⫖↰⪸B90=⫖↰⪸-325","layer":3},{"info":"⫖↰⪸72A⫡⨏⫖↰⪸1473=⫖↰⪸629B","layer":3},{"info":"⫖↰⪸-325⨸⪁⫖↰⪸629B=⫖↰⪸BB30","layer":2},{"info":"⨵≀≌⫖↰⪸4B84=⫖↰⪸-12B10","layer":3},{"info":"⫖↰⪸23B4↪⪝=⫖↰⪸6A54A900","layer":3},{"info":"⫖↰⪸-12B10⨪↰⇹⫖↰⪸6A54A900=⫖↰⪸-12B10","layer":2},{"info":"⫖↰⪸BB30∑⇟⊟⫖↰⪸-12B10=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"(($1089$⨸⪁$1734$⊉≛↸($5532$∲⫓$3236$))⨓(⨑⩽⪐$4680$⪛$2043$))↬(-(⇁⨣⪵$1174$)↙($2596$↛⩡⫤))","expression":"((⫖↰⪸769⨸⪁⫖↰⪸1006⊉≛↸(⫖↰⪸3250∲⫓⫖↰⪸1A58))⨓(⨑⩽⪐⫖↰⪸2860⪛⫖↰⪸1223))↬(-(⇁⨣⪵⫖↰⪸81A)↙(⫖↰⪸1604↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8269,"operation_count":11,"complexity_ratio":751.7272727272727,"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":1089,"base":12},"right_expr":{"type":"numeric_atoms","value":1734,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5532,"base":12},"right_expr":{"type":"numeric_atoms","value":3236,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4680,"base":12},"right_expr":{"type":"numeric_atoms","value":2043,"base":12}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1174,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2596,"base":12}}}}},"used_operators":["B5M0gjZbta","3ViojmjbAp","DZ8iAZOCBD","g55IO6H4Gj","i8ToyICDmI","AF7qkfDlqP","uFcxV4UQCh","t8gj7n24qd","yyfyN0ffXY","inkyxCbjAn","FU0Cs4j7VP"],"dependent_operators":["rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1734, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5646","layer":3},{"info":"number node, value=5532","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=3236, 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=5646, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11292","layer":2},{"info":"number node, value=4680","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=2043, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=594","layer":3},{"info":"compute unary expreesion, input=594, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-321","layer":2},{"info":"compute binary expreesion, left_input=11292, right_input=-321, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-324","layer":1},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-388085","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-388085, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-324, 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":"((⫖↰⪸769⨸⪁⫖↰⪸1006⊉≛↸(⫖↰⪸3250∲⫓⫖↰⪸1A58))⨓(⨑⩽⪐⫖↰⪸2860⪛⫖↰⪸1223))↬(-(⇁⨣⪵⫖↰⪸81A)↙(⫖↰⪸1604↛⩡⫤))=NaN","reverse_text":"NaN=((⫖↰⪸769⨸⪁⫖↰⪸1006⊉≛↸(⫖↰⪸3250∲⫓⫖↰⪸1A58))⨓(⨑⩽⪐⫖↰⪸2860⪛⫖↰⪸1223))↬(-(⇁⨣⪵⫖↰⪸81A)↙(⫖↰⪸1604↛⩡⫤))","cot":[{"info":"⫖↰⪸769⨸⪁⫖↰⪸1006=⫖↰⪸3326","layer":3},{"info":"⫖↰⪸3250∲⫓⫖↰⪸1A58=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3326⊉≛↸⫖↰⪸0=⫖↰⪸6650","layer":2},{"info":"⫖↰⪸2860⪛⫖↰⪸1223=⫖↰⪸416","layer":3},{"info":"⨑⩽⪐⫖↰⪸416=⫖↰⪸-229","layer":2},{"info":"⫖↰⪸6650⨓⫖↰⪸-229=⫖↰⪸-230","layer":1},{"info":"⇁⨣⪵⫖↰⪸81A=NaN","layer":3},{"info":"⫖↰⪸1604↛⩡⫤=⫖↰⪸-168705","layer":3},{"info":"NaN↙⫖↰⪸-168705=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫖↰⪸-230↬NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"⫛⫱⨽((⨈⫕(⊙↵-$3205$))⋷($3915$⩠)⊴$3325$⊴$2097$)","expression":"⫛⫱⨽((⨈⫕(⊙↵-⫖↰⪸1A31))⋷(⫖↰⪸2323⩠)⊴⫖↰⪸1B11⊴⫖↰⪸1269)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7405,"operation_count":7,"complexity_ratio":1057.857142857143,"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":3205,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3915,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3325,"base":12},"right_expr":{"type":"numeric_atoms","value":2097,"base":12}}}}},"used_operators":["DlLNRPXxWL","23Mk6UjR3U","megm06wKyl","oWn0xqSxBt","Nsiff2A1zJ","sJAwomhLZr"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫖↰⪸0","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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=3915","layer":4},{"info":"compute unary expreesion, input=3915, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3325","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=3325, right_input=2097, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":1},{"info":"compute unary expreesion, input=42, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽((⨈⫕(⊙↵-⫖↰⪸1A31))⋷(⫖↰⪸2323⩠)⊴⫖↰⪸1B11⊴⫖↰⪸1269)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽((⨈⫕(⊙↵-⫖↰⪸1A31))⋷(⫖↰⪸2323⩠)⊴⫖↰⪸1B11⊴⫖↰⪸1269)","cot":[{"info":"⊙↵-⫖↰⪸1A31=⫖↰⪸-1","layer":3},{"info":"⨈⫕⫖↰⪸-1=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸2323⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1B11⊴⫖↰⪸1269=NaN","layer":3},{"info":"⫖↰⪸0⊴NaN=NaN","layer":2},{"info":"⫖↰⪸-19⋷NaN=⫖↰⪸36","layer":1},{"info":"⫛⫱⨽⫖↰⪸36=⫖↰⪸0","layer":0}]}
{"id":285,"expression_no_base_symbol":"(⨰⫟⨤(⨰⫟⨤(⊄⩳↩$1355$)))∲⫓($3764$⪮%⊝$1591$⇋≉)⪄((↣≠⋷$4134$)⊦⊿)","expression":"(⨰⫟⨤(⨰⫟⨤(⊄⩳↩⫖↰⪸94B)))∲⫓(⫖↰⪸2218⪮%⊝⫖↰⪸B07⇋≉)⪄((↣≠⋷⫖↰⪸2486)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17301,"operation_count":9,"complexity_ratio":1922.3333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1355,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3764,"base":12},"right_expr":{"type":"numeric_atoms","value":1591,"base":12}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4134,"base":12}}}}},"used_operators":["i8ToyICDmI","Tw270M8GLb","8w2t5hMYqp","SUmda5xLS4","XIabStNQrY","IWmyXbctLI","14qkJME0vr","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4065","layer":3},{"info":"compute unary expreesion, input=-4065, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3764","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=1591, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7844","layer":3},{"info":"compute unary expreesion, input=7844, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=15590","layer":2},{"info":"number node, value=4134","layer":4},{"info":"compute unary expreesion, input=4134, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15590, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(⨰⫟⨤(⨰⫟⨤(⊄⩳↩⫖↰⪸94B)))∲⫓(⫖↰⪸2218⪮%⊝⫖↰⪸B07⇋≉)⪄((↣≠⋷⫖↰⪸2486)⊦⊿)=NaN","reverse_text":"NaN=(⨰⫟⨤(⨰⫟⨤(⊄⩳↩⫖↰⪸94B)))∲⫓(⫖↰⪸2218⪮%⊝⫖↰⪸B07⇋≉)⪄((↣≠⋷⫖↰⪸2486)⊦⊿)","cot":[{"info":"⊄⩳↩⫖↰⪸94B=⫖↰⪸-2429","layer":3},{"info":"⨰⫟⨤⫖↰⪸-2429=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸2218⪮%⊝⫖↰⪸B07=⫖↰⪸4658","layer":3},{"info":"⫖↰⪸4658⇋≉=⫖↰⪸9032","layer":2},{"info":"↣≠⋷⫖↰⪸2486=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⫖↰⪸9032⪄NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"((⫛⫱⨽(↔$3045$))⨵⪆(⩦⩻⨪$4905$⨽$1423$))-(⪲⇎$1550$∑⇟⊟$7225$)↙(⇁⨣⪵$3426$⫥∨⫟$2792$)","expression":"((⫛⫱⨽(↔⫖↰⪸1919))⨵⪆(⩦⩻⨪⫖↰⪸2A09⨽⫖↰⪸9A7))-(⪲⇎⫖↰⪸A92∑⇟⊟⫖↰⪸4221)↙(⇁⨣⪵⫖↰⪸1B96⫥∨⫟⫖↰⪸1748)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6507,"operation_count":11,"complexity_ratio":591.5454545454545,"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":3045,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4905,"base":12},"right_expr":{"type":"numeric_atoms","value":1423,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1550,"base":12},"right_expr":{"type":"numeric_atoms","value":7225,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3426,"base":12},"right_expr":{"type":"numeric_atoms","value":2792,"base":12}}}}},"used_operators":["rysDP5nf3Z","2DQ55sFlQl","DlLNRPXxWL","ruOEQAzv1W","2td37pGCOC","8HhzD0ZcuI","yyfyN0ffXY","XPYlsWDdGa","U7g4x0WXJJ","inkyxCbjAn","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3045","layer":4},{"info":"compute unary expreesion, input=3045, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2772","layer":3},{"info":"compute unary expreesion, input=-2772, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4905","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=4905, right_input=1423, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72180030","layer":3},{"info":"compute unary expreesion, input=-72180030, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-72180030","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-72180030, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1550","layer":4},{"info":"number node, value=7225","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=7225, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=3426","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=2792, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫛⫱⨽(↔⫖↰⪸1919))⨵⪆(⩦⩻⨪⫖↰⪸2A09⨽⫖↰⪸9A7))-(⪲⇎⫖↰⪸A92∑⇟⊟⫖↰⪸4221)↙(⇁⨣⪵⫖↰⪸1B96⫥∨⫟⫖↰⪸1748)=NaN","reverse_text":"NaN=((⫛⫱⨽(↔⫖↰⪸1919))⨵⪆(⩦⩻⨪⫖↰⪸2A09⨽⫖↰⪸9A7))-(⪲⇎⫖↰⪸A92∑⇟⊟⫖↰⪸4221)↙(⇁⨣⪵⫖↰⪸1B96⫥∨⫟⫖↰⪸1748)","cot":[{"info":"↔⫖↰⪸1919=⫖↰⪸-1730","layer":3},{"info":"⫛⫱⨽⫖↰⪸-1730=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2A09⨽⫖↰⪸9A7=⫖↰⪸-2020AA26","layer":3},{"info":"⩦⩻⨪⫖↰⪸-2020AA26=⫖↰⪸-2020AA26","layer":2},{"info":"⫖↰⪸0⨵⪆⫖↰⪸-2020AA26=⫖↰⪸114","layer":1},{"info":"⫖↰⪸A92∑⇟⊟⫖↰⪸4221=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⫖↰⪸1B96⫥∨⫟⫖↰⪸1748=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⫖↰⪸114-NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"⪲⇎(($1991$%$1094$⫡⨏(⩦⩻⨪$2359$))⫌⩹⨱)","expression":"⪲⇎((⫖↰⪸119B%⫖↰⪸772⫡⨏(⩦⩻⨪⫖↰⪸1447))⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":20,"operation_count":5,"complexity_ratio":4.0,"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":1991,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2359,"base":12}}}}},"used_operators":["XPYlsWDdGa","EBcxylXtPf","QMFrweE19q","k8jYdgA6NY","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸208A2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1991","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=1094, op_id = k8jYdgA6NY binary_op_definition= 'None', output=897","layer":3},{"info":"number node, value=2359","layer":4},{"info":"compute unary expreesion, input=2359, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2359","layer":3},{"info":"compute binary expreesion, left_input=897, right_input=2359, 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=9986","layer":2},{"info":"compute unary expreesion, input=9986, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=21373","layer":1},{"info":"compute unary expreesion, input=21373, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=42746","layer":0}],"base":12,"result_base":12,"text":"⪲⇎((⫖↰⪸119B%⫖↰⪸772⫡⨏(⩦⩻⨪⫖↰⪸1447))⫌⩹⨱)=⫖↰⪸208A2","reverse_text":"⫖↰⪸208A2=⪲⇎((⫖↰⪸119B%⫖↰⪸772⫡⨏(⩦⩻⨪⫖↰⪸1447))⫌⩹⨱)","cot":[{"info":"⫖↰⪸119B%⫖↰⪸772=⫖↰⪸629","layer":3},{"info":"⩦⩻⨪⫖↰⪸1447=⫖↰⪸1447","layer":3},{"info":"⫖↰⪸629⫡⨏⫖↰⪸1447=⫖↰⪸5942","layer":2},{"info":"⫖↰⪸5942⫌⩹⨱=⫖↰⪸10451","layer":1},{"info":"⪲⇎⫖↰⪸10451=⫖↰⪸208A2","layer":0}]}
{"id":288,"expression_no_base_symbol":"($1272$⩚⊴⇥$2722$⫡⨏$5545$⪘⫢$2068$)⨪↰⇹(($3284$⇼⇔∾$4355$)⨎$3164$⪢$6115$)≭(($2371$/$1438$)⋝⋈⪟(⩦⩻⨪$1664$)⫡⨏($6954$⪘⫢$3997$)∀⇚≩($3124$/$1912$))","expression":"(⫖↰⪸8A0⩚⊴⇥⫖↰⪸16AA⫡⨏⫖↰⪸3261⪘⫢⫖↰⪸1244)⨪↰⇹((⫖↰⪸1A98⇼⇔∾⫖↰⪸262B)⨎⫖↰⪸19B8⪢⫖↰⪸3657)≭((⫖↰⪸1457/⫖↰⪸9BA)⋝⋈⪟(⩦⩻⨪⫖↰⪸B68)⫡⨏(⫖↰⪸4036⪘⫢⫖↰⪸2391)∀⇚≩(⫖↰⪸1984/⫖↰⪸1134))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":104802,"operation_count":15,"complexity_ratio":6986.8,"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":1272,"base":12},"right_expr":{"type":"numeric_atoms","value":2722,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5545,"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":3284,"base":12},"right_expr":{"type":"numeric_atoms","value":4355,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3164,"base":12},"right_expr":{"type":"numeric_atoms","value":6115,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2371,"base":12},"right_expr":{"type":"numeric_atoms","value":1438,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1664,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6954,"base":12},"right_expr":{"type":"numeric_atoms","value":3997,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3124,"base":12},"right_expr":{"type":"numeric_atoms","value":1912,"base":12}}}}},"used_operators":["rxpJgHHUmx","tmPS8pqC7x","QMFrweE19q","NTOWxs364D","oacrs7FA3X","rJVOvQCfKK","tifHPKVTfV","dWAJyo7jo9","2DDjHMKMc0","XhwjNDsVaA","2td37pGCOC","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2722, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4115","layer":3},{"info":"number node, value=5545","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=5545, right_input=2068, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10966","layer":3},{"info":"compute binary expreesion, left_input=-4115, right_input=10966, 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=2140","layer":2},{"info":"number node, value=3284","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=4355, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1071","layer":3},{"info":"number node, value=3164","layer":4},{"info":"number node, value=6115","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=6115, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1071, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2140, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2140","layer":1},{"info":"number node, value=2371","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=1438, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1664","layer":4},{"info":"compute unary expreesion, input=1664, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1664","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=1664, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1","layer":2},{"info":"number node, value=6954","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=6954, right_input=3997, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13784","layer":3},{"info":"number node, value=3124","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=1912, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=13784, right_input=1, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2140, 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":"(⫖↰⪸8A0⩚⊴⇥⫖↰⪸16AA⫡⨏⫖↰⪸3261⪘⫢⫖↰⪸1244)⨪↰⇹((⫖↰⪸1A98⇼⇔∾⫖↰⪸262B)⨎⫖↰⪸19B8⪢⫖↰⪸3657)≭((⫖↰⪸1457/⫖↰⪸9BA)⋝⋈⪟(⩦⩻⨪⫖↰⪸B68)⫡⨏(⫖↰⪸4036⪘⫢⫖↰⪸2391)∀⇚≩(⫖↰⪸1984/⫖↰⪸1134))=NaN","reverse_text":"NaN=(⫖↰⪸8A0⩚⊴⇥⫖↰⪸16AA⫡⨏⫖↰⪸3261⪘⫢⫖↰⪸1244)⨪↰⇹((⫖↰⪸1A98⇼⇔∾⫖↰⪸262B)⨎⫖↰⪸19B8⪢⫖↰⪸3657)≭((⫖↰⪸1457/⫖↰⪸9BA)⋝⋈⪟(⩦⩻⨪⫖↰⪸B68)⫡⨏(⫖↰⪸4036⪘⫢⫖↰⪸2391)∀⇚≩(⫖↰⪸1984/⫖↰⪸1134))","cot":[{"info":"⫖↰⪸8A0⩚⊴⇥⫖↰⪸16AA=⫖↰⪸-246B","layer":3},{"info":"⫖↰⪸3261⪘⫢⫖↰⪸1244=⫖↰⪸641A","layer":3},{"info":"⫖↰⪸-246B⫡⨏⫖↰⪸641A=⫖↰⪸12A4","layer":2},{"info":"⫖↰⪸1A98⇼⇔∾⫖↰⪸262B=⫖↰⪸753","layer":3},{"info":"⫖↰⪸19B8⪢⫖↰⪸3657=NaN","layer":3},{"info":"⫖↰⪸753⨎NaN=NaN","layer":2},{"info":"⫖↰⪸12A4⨪↰⇹NaN=⫖↰⪸12A4","layer":1},{"info":"⫖↰⪸1457/⫖↰⪸9BA=⫖↰⪸1","layer":3},{"info":"⩦⩻⨪⫖↰⪸B68=⫖↰⪸B68","layer":3},{"info":"⫖↰⪸1⋝⋈⪟⫖↰⪸B68=⫖↰⪸1","layer":2},{"info":"⫖↰⪸4036⪘⫢⫖↰⪸2391=⫖↰⪸7B88","layer":3},{"info":"⫖↰⪸1984/⫖↰⪸1134=⫖↰⪸1","layer":3},{"info":"⫖↰⪸7B88∀⇚≩⫖↰⪸1=NaN","layer":2},{"info":"⫖↰⪸1⫡⨏NaN=NaN","layer":1},{"info":"⫖↰⪸12A4≭NaN=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"≤/((↽≂$1635$⋥≓≎$3052$)∲⫓(↽≂($3237$∲⫓$1633$)))","expression":"≤/((↽≂⫖↰⪸B43⋥≓≎⫖↰⪸1924)∲⫓(↽≂(⫖↰⪸1A59∲⫓⫖↰⪸B41)))","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":6,"complexity_ratio":2.3333333333333335,"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":1635,"base":12},"right_expr":{"type":"numeric_atoms","value":3052,"base":12}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3237,"base":12},"right_expr":{"type":"numeric_atoms","value":1633,"base":12}}}}},"used_operators":["eLAdDNolq6","i8ToyICDmI","u6S6b8DprG","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸55A8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1635","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=3052, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4502","layer":3},{"info":"compute unary expreesion, input=4502, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9004","layer":2},{"info":"number node, value=3237","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=1633, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9004, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-9004","layer":1},{"info":"compute unary expreesion, input=-9004, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=9488","layer":0}],"base":12,"result_base":12,"text":"≤/((↽≂⫖↰⪸B43⋥≓≎⫖↰⪸1924)∲⫓(↽≂(⫖↰⪸1A59∲⫓⫖↰⪸B41)))=⫖↰⪸55A8","reverse_text":"⫖↰⪸55A8=≤/((↽≂⫖↰⪸B43⋥≓≎⫖↰⪸1924)∲⫓(↽≂(⫖↰⪸1A59∲⫓⫖↰⪸B41)))","cot":[{"info":"⫖↰⪸B43⋥≓≎⫖↰⪸1924=⫖↰⪸2732","layer":3},{"info":"↽≂⫖↰⪸2732=⫖↰⪸-5264","layer":2},{"info":"⫖↰⪸1A59∲⫓⫖↰⪸B41=⫖↰⪸0","layer":3},{"info":"↽≂⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-5264∲⫓⫖↰⪸0=⫖↰⪸-5264","layer":1},{"info":"≤/⫖↰⪸-5264=⫖↰⪸55A8","layer":0}]}
{"id":290,"expression_no_base_symbol":"($2255$∀⇚≩$4834$⩨$1561$⪘⫢$3840$-$1063$↬$6577$⨓$1653$⇷$1163$)⨁⊸⫻","expression":"(⫖↰⪸137B∀⇚≩⫖↰⪸296A⩨⫖↰⪸AA1⪘⫢⫖↰⪸2280-⫖↰⪸747↬⫖↰⪸3981⨓⫖↰⪸B59⇷⫖↰⪸80B)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41287,"operation_count":8,"complexity_ratio":5160.875,"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":2255,"base":12},"right_expr":{"type":"numeric_atoms","value":4834,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1561,"base":12},"right_expr":{"type":"numeric_atoms","value":3840,"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":6577,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1653,"base":12},"right_expr":{"type":"numeric_atoms","value":1163,"base":12}}}}},"used_operators":["glklzrTFfD","rysDP5nf3Z","2DlMacCsIx","LRNGc0VcxI","oacrs7FA3X","3ViojmjbAp","B5M0gjZbta","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2255","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=4834, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1561","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=3840, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2998","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2998, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=6577","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=6577, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1653","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1163, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2326","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2326, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2329","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2329, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸137B∀⇚≩⫖↰⪸296A⩨⫖↰⪸AA1⪘⫢⫖↰⪸2280-⫖↰⪸747↬⫖↰⪸3981⨓⫖↰⪸B59⇷⫖↰⪸80B)⨁⊸⫻=NaN","reverse_text":"NaN=(⫖↰⪸137B∀⇚≩⫖↰⪸296A⩨⫖↰⪸AA1⪘⫢⫖↰⪸2280-⫖↰⪸747↬⫖↰⪸3981⨓⫖↰⪸B59⇷⫖↰⪸80B)⨁⊸⫻","cot":[{"info":"⫖↰⪸137B∀⇚≩⫖↰⪸296A=NaN","layer":3},{"info":"⫖↰⪸AA1⪘⫢⫖↰⪸2280=⫖↰⪸189A","layer":3},{"info":"NaN⩨⫖↰⪸189A=NaN","layer":2},{"info":"⫖↰⪸747↬⫖↰⪸3981=NaN","layer":3},{"info":"⫖↰⪸B59⇷⫖↰⪸80B=⫖↰⪸141A","layer":3},{"info":"NaN⨓⫖↰⪸141A=⫖↰⪸-1421","layer":2},{"info":"NaN-⫖↰⪸-1421=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"((⩦⩻⨪$1566$)≎⊠⪸(↩$5491$))∑⇟⊟($8022$↙$2259$)⨟⋌⩍($3610$⪄$1135$)⪄(⨞⊢$3933$⪢$3871$)↬(≦∁(↽≂$3689$))","expression":"((⩦⩻⨪⫖↰⪸AA6)≎⊠⪸(↩⫖↰⪸3217))∑⇟⊟(⫖↰⪸4786↙⫖↰⪸1383)⨟⋌⩍(⫖↰⪸210A⪄⫖↰⪸7A7)⪄(⨞⊢⫖↰⪸2339⪢⫖↰⪸22A7)↬(≦∁(↽≂⫖↰⪸2175))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7196,"operation_count":13,"complexity_ratio":553.5384615384615,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1566,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5491,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8022,"base":12},"right_expr":{"type":"numeric_atoms","value":2259,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3610,"base":12},"right_expr":{"type":"numeric_atoms","value":1135,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3933,"base":12},"right_expr":{"type":"numeric_atoms","value":3871,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3689,"base":12}}}}},"used_operators":["SUmda5xLS4","U7g4x0WXJJ","bJkvcejdHO","2td37pGCOC","jLgFTUHLKL","rGHVDoGpnC","yyfyN0ffXY","B5M0gjZbta","xUOZtlo3hN","dWAJyo7jo9","9ICcGScMcE","u6S6b8DprG"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1566","layer":3},{"info":"number node, value=5491","layer":4},{"info":"compute unary expreesion, input=5491, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-41148","layer":3},{"info":"compute binary expreesion, left_input=1566, right_input=-41148, 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=8022","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=8022, right_input=2259, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6777","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1135, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-534909","layer":3},{"info":"compute binary expreesion, left_input=-6777, right_input=-534909, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3933","layer":4},{"info":"number node, value=3871","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=3871, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=3689","layer":4},{"info":"compute unary expreesion, input=3689, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7378","layer":3},{"info":"compute unary expreesion, input=-7378, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⩦⩻⨪⫖↰⪸AA6)≎⊠⪸(↩⫖↰⪸3217))∑⇟⊟(⫖↰⪸4786↙⫖↰⪸1383)⨟⋌⩍(⫖↰⪸210A⪄⫖↰⪸7A7)⪄(⨞⊢⫖↰⪸2339⪢⫖↰⪸22A7)↬(≦∁(↽≂⫖↰⪸2175))=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=((⩦⩻⨪⫖↰⪸AA6)≎⊠⪸(↩⫖↰⪸3217))∑⇟⊟(⫖↰⪸4786↙⫖↰⪸1383)⨟⋌⩍(⫖↰⪸210A⪄⫖↰⪸7A7)⪄(⨞⊢⫖↰⪸2339⪢⫖↰⪸22A7)↬(≦∁(↽≂⫖↰⪸2175))","cot":[{"info":"⩦⩻⨪⫖↰⪸AA6=⫖↰⪸AA6","layer":3},{"info":"↩⫖↰⪸3217=⫖↰⪸-1B990","layer":3},{"info":"⫖↰⪸AA6≎⊠⪸⫖↰⪸-1B990=⫖↰⪸57","layer":2},{"info":"⫖↰⪸4786↙⫖↰⪸1383=⫖↰⪸-3B09","layer":3},{"info":"⫖↰⪸210A⪄⫖↰⪸7A7=⫖↰⪸-219679","layer":3},{"info":"⫖↰⪸-3B09⨟⋌⩍⫖↰⪸-219679=NaN","layer":2},{"info":"⫖↰⪸57∑⇟⊟NaN=NaN","layer":1},{"info":"⫖↰⪸2339⪢⫖↰⪸22A7=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"↽≂⫖↰⪸2175=⫖↰⪸-432A","layer":3},{"info":"≦∁⫖↰⪸-432A=⫖↰⪸57","layer":2},{"info":"NaN↬⫖↰⪸57=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":292,"expression_no_base_symbol":"((↩$7462$)⫡⨏$1015$≹⇙⪍$1109$)⫥∨⫟(↯⪼($6979$∼$2512$))⨐⩸⫘(($6405$⫩⊇)⨰($1785$⩚⊴⇥$5238$))≹⇙⪍(($5426$≭$3596$)↬($8656$+⇶⊼$2179$))","expression":"((↩⫖↰⪸439A)⫡⨏⫖↰⪸707≹⇙⪍⫖↰⪸785)⫥∨⫟(↯⪼(⫖↰⪸4057∼⫖↰⪸1554))⨐⩸⫘((⫖↰⪸3859⫩⊇)⨰(⫖↰⪸1049⩚⊴⇥⫖↰⪸3046))≹⇙⪍((⫖↰⪸3182≭⫖↰⪸20B8)↬(⫖↰⪸5014+⇶⊼⫖↰⪸1317))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":363,"operation_count":14,"complexity_ratio":25.928571428571427,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7462,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6979,"base":12},"right_expr":{"type":"numeric_atoms","value":2512,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6405,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1785,"base":12},"right_expr":{"type":"numeric_atoms","value":5238,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5426,"base":12},"right_expr":{"type":"numeric_atoms","value":3596,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8656,"base":12},"right_expr":{"type":"numeric_atoms","value":2179,"base":12}}}}},"used_operators":["fu6greOZ01","KYD54nUTWz","QMFrweE19q","jLgFTUHLKL","AHs5Up7iyr","8jW3W4yZS5","DyGG3AbaNP","eewbuw0ToL","BjRHVeLaeN","NTOWxs364D","B5M0gjZbta","rxpJgHHUmx","TpPTUOHfaN"],"dependent_operators":["3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7462","layer":4},{"info":"compute unary expreesion, input=7462, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-56916","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1109, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-56916, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=6979","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=6979, right_input=2512, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6405","layer":4},{"info":"compute unary expreesion, input=6405, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6363","layer":3},{"info":"number node, value=1785","layer":4},{"info":"number node, value=5238","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=5238, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7144","layer":3},{"info":"compute binary expreesion, left_input=-6363, right_input=-7144, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=791","layer":2},{"info":"number node, value=5426","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=5426, right_input=3596, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=8656","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=8656, right_input=2179, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=791, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"((↩⫖↰⪸439A)⫡⨏⫖↰⪸707≹⇙⪍⫖↰⪸785)⫥∨⫟(↯⪼(⫖↰⪸4057∼⫖↰⪸1554))⨐⩸⫘((⫖↰⪸3859⫩⊇)⨰(⫖↰⪸1049⩚⊴⇥⫖↰⪸3046))≹⇙⪍((⫖↰⪸3182≭⫖↰⪸20B8)↬(⫖↰⪸5014+⇶⊼⫖↰⪸1317))=NaN","reverse_text":"NaN=((↩⫖↰⪸439A)⫡⨏⫖↰⪸707≹⇙⪍⫖↰⪸785)⫥∨⫟(↯⪼(⫖↰⪸4057∼⫖↰⪸1554))⨐⩸⫘((⫖↰⪸3859⫩⊇)⨰(⫖↰⪸1049⩚⊴⇥⫖↰⪸3046))≹⇙⪍((⫖↰⪸3182≭⫖↰⪸20B8)↬(⫖↰⪸5014+⇶⊼⫖↰⪸1317))","cot":[{"info":"↩⫖↰⪸439A=⫖↰⪸-28B30","layer":3},{"info":"⫖↰⪸707≹⇙⪍⫖↰⪸785=NaN","layer":3},{"info":"⫖↰⪸-28B30⫡⨏NaN=NaN","layer":2},{"info":"⫖↰⪸4057∼⫖↰⪸1554=NaN","layer":3},{"info":"↯⪼NaN=⫖↰⪸-19","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸-19=NaN","layer":1},{"info":"⫖↰⪸3859⫩⊇=⫖↰⪸-3823","layer":3},{"info":"⫖↰⪸1049⩚⊴⇥⫖↰⪸3046=⫖↰⪸-4174","layer":3},{"info":"⫖↰⪸-3823⨰⫖↰⪸-4174=⫖↰⪸55B","layer":2},{"info":"⫖↰⪸3182≭⫖↰⪸20B8=NaN","layer":3},{"info":"⫖↰⪸5014+⇶⊼⫖↰⪸1317=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⫖↰⪸55B≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"⩦⩻⨪(⨑⩽⪐(⨑⩽⪐(⨞⊢$7379$)))","expression":"⩦⩻⨪(⨑⩽⪐(⨑⩽⪐(⨞⊢⫖↰⪸432B)))","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":16,"operation_count":4,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7379,"base":12}}}}},"used_operators":["2td37pGCOC","AF7qkfDlqP","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-905A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7379","layer":4},{"info":"compute unary expreesion, input=7379, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7553","layer":3},{"info":"compute unary expreesion, input=-7553, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=15895","layer":2},{"info":"compute unary expreesion, input=15895, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-15622","layer":1},{"info":"compute unary expreesion, input=-15622, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-15622","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⨑⩽⪐(⨑⩽⪐(⨞⊢⫖↰⪸432B)))=⫖↰⪸-905A","reverse_text":"⫖↰⪸-905A=⩦⩻⨪(⨑⩽⪐(⨑⩽⪐(⨞⊢⫖↰⪸432B)))","cot":[{"info":"⨞⊢⫖↰⪸432B=⫖↰⪸-4455","layer":3},{"info":"⨑⩽⪐⫖↰⪸-4455=⫖↰⪸9247","layer":2},{"info":"⨑⩽⪐⫖↰⪸9247=⫖↰⪸-905A","layer":1},{"info":"⩦⩻⨪⫖↰⪸-905A=⫖↰⪸-905A","layer":0}]}
{"id":294,"expression_no_base_symbol":"((($6366$⪄$4746$)⇋≉)⊦⊿)⪮%⊝(($6451$⊭∹↮)⩚⊴⇥(≤/$4682$)⩤)","expression":"(((⫖↰⪸3826⪄⫖↰⪸28B6)⇋≉)⊦⊿)⪮%⊝((⫖↰⪸3897⊭∹↮)⩚⊴⇥(≤/⫖↰⪸2862)⩤)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":124,"operation_count":8,"complexity_ratio":15.5,"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":6366,"base":12},"right_expr":{"type":"numeric_atoms","value":4746,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6451,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4682,"base":12}}}}},"used_operators":["IWmyXbctLI","14qkJME0vr","XIabStNQrY","SUmda5xLS4","Z2TMIBDE3Q","NTOWxs364D","xNBdhnnwKq","eLAdDNolq6"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⫖↰⪸3A1BB32","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6366","layer":4},{"info":"number node, value=4746","layer":4},{"info":"compute binary expreesion, left_input=6366, right_input=4746, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-957241","layer":3},{"info":"compute unary expreesion, input=-957241, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1914580","layer":2},{"info":"compute unary expreesion, input=-1914580, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=5743661","layer":1},{"info":"number node, value=6451","layer":4},{"info":"compute unary expreesion, input=6451, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=12902","layer":3},{"info":"number node, value=4682","layer":4},{"info":"compute unary expreesion, input=4682, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4198","layer":3},{"info":"compute binary expreesion, left_input=12902, right_input=-4198, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8825","layer":2},{"info":"compute unary expreesion, input=-8825, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=8825","layer":1},{"info":"compute binary expreesion, left_input=5743661, right_input=8825, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11487638","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3826⪄⫖↰⪸28B6)⇋≉)⊦⊿)⪮%⊝((⫖↰⪸3897⊭∹↮)⩚⊴⇥(≤/⫖↰⪸2862)⩤)=⫖↰⪸3A1BB32","reverse_text":"⫖↰⪸3A1BB32=(((⫖↰⪸3826⪄⫖↰⪸28B6)⇋≉)⊦⊿)⪮%⊝((⫖↰⪸3897⊭∹↮)⩚⊴⇥(≤/⫖↰⪸2862)⩤)","cot":[{"info":"⫖↰⪸3826⪄⫖↰⪸28B6=⫖↰⪸-3A1B61","layer":3},{"info":"⫖↰⪸-3A1B61⇋≉=⫖↰⪸-783B84","layer":2},{"info":"⫖↰⪸-783B84⊦⊿=⫖↰⪸1B0BA65","layer":1},{"info":"⫖↰⪸3897⊭∹↮=⫖↰⪸7572","layer":3},{"info":"≤/⫖↰⪸2862=⫖↰⪸-251A","layer":3},{"info":"⫖↰⪸7572⩚⊴⇥⫖↰⪸-251A=⫖↰⪸-5135","layer":2},{"info":"⫖↰⪸-5135⩤=⫖↰⪸5135","layer":1},{"info":"⫖↰⪸1B0BA65⪮%⊝⫖↰⪸5135=⫖↰⪸3A1BB32","layer":0}]}
{"id":295,"expression_no_base_symbol":"($5436$⋷$4487$⋷(⋗⩬⋾$1368$))⪄(⋗⩬⋾$7569$⪮%⊝$7884$)/($1187$⨪↰⇹$1634$%($3547$⪨≂$2395$))⩨$1807$∼$1700$⪛($1675$⋥≓≎$4973$)","expression":"(⫖↰⪸3190⋷⫖↰⪸271B⋷(⋗⩬⋾⫖↰⪸960))⪄(⋗⩬⋾⫖↰⪸4469⪮%⊝⫖↰⪸4690)/(⫖↰⪸82B⨪↰⇹⫖↰⪸B42%(⫖↰⪸2077⪨≂⫖↰⪸1477))⩨⫖↰⪸1067∼⫖↰⪸B98⪛(⫖↰⪸B77⋥≓≎⫖↰⪸2A65)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1356,"operation_count":14,"complexity_ratio":96.85714285714286,"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":5436,"base":12},"right_expr":{"type":"numeric_atoms","value":4487,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1368,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7569,"base":12},"right_expr":{"type":"numeric_atoms","value":7884,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1187,"base":12},"right_expr":{"type":"numeric_atoms","value":1634,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3547,"base":12},"right_expr":{"type":"numeric_atoms","value":2395,"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":1700,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1675,"base":12},"right_expr":{"type":"numeric_atoms","value":4973,"base":12}}}}},"used_operators":["XhwjNDsVaA","SUmda5xLS4","23Mk6UjR3U","DpFCA1CohY","IWmyXbctLI","2DlMacCsIx","k8jYdgA6NY","tmPS8pqC7x","sdazOOVcIp","uFcxV4UQCh","DyGG3AbaNP","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5436","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=5436, right_input=4487, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3538","layer":3},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4104","layer":3},{"info":"compute binary expreesion, left_input=3538, right_input=-4104, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-11746","layer":2},{"info":"number node, value=7569","layer":4},{"info":"number node, value=7884","layer":4},{"info":"compute binary expreesion, left_input=7569, right_input=7884, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15454","layer":3},{"info":"compute unary expreesion, input=15454, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-46362","layer":2},{"info":"compute binary expreesion, left_input=-11746, right_input=-46362, 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=1187","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=1634, 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=1187","layer":3},{"info":"number node, value=3547","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=2395, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2406","layer":3},{"info":"compute binary expreesion, left_input=1187, right_input=2406, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1187","layer":2},{"info":"number node, value=1807","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1700, 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=1675","layer":4},{"info":"number node, value=4973","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=4973, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8304","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8304, 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=1187, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3190⋷⫖↰⪸271B⋷(⋗⩬⋾⫖↰⪸960))⪄(⋗⩬⋾⫖↰⪸4469⪮%⊝⫖↰⪸4690)/(⫖↰⪸82B⨪↰⇹⫖↰⪸B42%(⫖↰⪸2077⪨≂⫖↰⪸1477))⩨⫖↰⪸1067∼⫖↰⪸B98⪛(⫖↰⪸B77⋥≓≎⫖↰⪸2A65)=NaN","reverse_text":"NaN=(⫖↰⪸3190⋷⫖↰⪸271B⋷(⋗⩬⋾⫖↰⪸960))⪄(⋗⩬⋾⫖↰⪸4469⪮%⊝⫖↰⪸4690)/(⫖↰⪸82B⨪↰⇹⫖↰⪸B42%(⫖↰⪸2077⪨≂⫖↰⪸1477))⩨⫖↰⪸1067∼⫖↰⪸B98⪛(⫖↰⪸B77⋥≓≎⫖↰⪸2A65)","cot":[{"info":"⫖↰⪸3190⋷⫖↰⪸271B=⫖↰⪸206A","layer":3},{"info":"⋗⩬⋾⫖↰⪸960=⫖↰⪸-2460","layer":3},{"info":"⫖↰⪸206A⋷⫖↰⪸-2460=⫖↰⪸-696A","layer":2},{"info":"⫖↰⪸4469⪮%⊝⫖↰⪸4690=⫖↰⪸8B3A","layer":3},{"info":"⋗⩬⋾⫖↰⪸8B3A=⫖↰⪸-229B6","layer":2},{"info":"⫖↰⪸-696A⪄⫖↰⪸-229B6=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸82B⨪↰⇹⫖↰⪸B42=⫖↰⪸82B","layer":3},{"info":"⫖↰⪸2077⪨≂⫖↰⪸1477=⫖↰⪸1486","layer":3},{"info":"⫖↰⪸82B%⫖↰⪸1486=⫖↰⪸82B","layer":2},{"info":"⫖↰⪸1067∼⫖↰⪸B98=NaN","layer":3},{"info":"⫖↰⪸B77⋥≓≎⫖↰⪸2A65=⫖↰⪸4980","layer":3},{"info":"NaN⪛⫖↰⪸4980=NaN","layer":2},{"info":"⫖↰⪸82B⩨NaN=NaN","layer":1},{"info":"⫖↰⪸2377/NaN=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"(($6140$⇋≉)∲⫓(⩦⩻⨪$1220$))⊴(⊥($1492$⨸⪁$3043$))⫸⊐(⨑⩽⪐(⪲⇎$2119$))⨐⩸⫘($1416$⫥∨⫟$3306$)⪘⫢($4361$⪄$7696$)","expression":"((⫖↰⪸3678⇋≉)∲⫓(⩦⩻⨪⫖↰⪸858))⊴(⊥(⫖↰⪸A44⨸⪁⫖↰⪸1917))⫸⊐(⨑⩽⪐(⪲⇎⫖↰⪸1287))⨐⩸⫘(⫖↰⪸9A0⫥∨⫟⫖↰⪸1AB6)⪘⫢(⫖↰⪸2635⪄⫖↰⪸4554)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":288,"operation_count":13,"complexity_ratio":22.153846153846153,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6140,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1220,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1492,"base":12},"right_expr":{"type":"numeric_atoms","value":3043,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2119,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":3306,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4361,"base":12},"right_expr":{"type":"numeric_atoms","value":7696,"base":12}}}}},"used_operators":["mqXw5SEYmG","Nsiff2A1zJ","i8ToyICDmI","XIabStNQrY","2td37pGCOC","Q3PJZHRvZv","g55IO6H4Gj","fu6greOZ01","AF7qkfDlqP","XPYlsWDdGa","oacrs7FA3X","KYD54nUTWz","SUmda5xLS4"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6140","layer":4},{"info":"compute unary expreesion, input=6140, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=12182","layer":3},{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1220","layer":3},{"info":"compute binary expreesion, left_input=12182, right_input=1220, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1492","layer":4},{"info":"number node, value=3043","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=3043, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9070","layer":3},{"info":"compute unary expreesion, input=9070, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4238","layer":3},{"info":"compute unary expreesion, input=4238, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3965","layer":2},{"info":"number node, value=1416","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=3306, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4361","layer":4},{"info":"number node, value=7696","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=7696, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-672301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-672301, 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=-3965, 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 = 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":"((⫖↰⪸3678⇋≉)∲⫓(⩦⩻⨪⫖↰⪸858))⊴(⊥(⫖↰⪸A44⨸⪁⫖↰⪸1917))⫸⊐(⨑⩽⪐(⪲⇎⫖↰⪸1287))⨐⩸⫘(⫖↰⪸9A0⫥∨⫟⫖↰⪸1AB6)⪘⫢(⫖↰⪸2635⪄⫖↰⪸4554)=NaN","reverse_text":"NaN=((⫖↰⪸3678⇋≉)∲⫓(⩦⩻⨪⫖↰⪸858))⊴(⊥(⫖↰⪸A44⨸⪁⫖↰⪸1917))⫸⊐(⨑⩽⪐(⪲⇎⫖↰⪸1287))⨐⩸⫘(⫖↰⪸9A0⫥∨⫟⫖↰⪸1AB6)⪘⫢(⫖↰⪸2635⪄⫖↰⪸4554)","cot":[{"info":"⫖↰⪸3678⇋≉=⫖↰⪸7072","layer":3},{"info":"⩦⩻⨪⫖↰⪸858=⫖↰⪸858","layer":3},{"info":"⫖↰⪸7072∲⫓⫖↰⪸858=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A44⨸⪁⫖↰⪸1917=⫖↰⪸52BA","layer":3},{"info":"⊥⫖↰⪸52BA=NaN","layer":2},{"info":"⫖↰⪸0⊴NaN=NaN","layer":1},{"info":"⪲⇎⫖↰⪸1287=⫖↰⪸2552","layer":3},{"info":"⨑⩽⪐⫖↰⪸2552=⫖↰⪸-2365","layer":2},{"info":"⫖↰⪸9A0⫥∨⫟⫖↰⪸1AB6=NaN","layer":3},{"info":"⫖↰⪸2635⪄⫖↰⪸4554=⫖↰⪸-285091","layer":3},{"info":"NaN⪘⫢⫖↰⪸-285091=NaN","layer":2},{"info":"⫖↰⪸-2365⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"⫓⪴((($1300$≫≃)⨳⩥⨓(⩦⩻⨪$4630$))⩚⊴⇥(+⊝⨔(↔$4093$)))","expression":"⫓⪴(((⫖↰⪸904≫≃)⨳⩥⨓(⩦⩻⨪⫖↰⪸281A))⩚⊴⇥(+⊝⨔(↔⫖↰⪸2451)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2315,"operation_count":7,"complexity_ratio":330.7142857142857,"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":1300,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4630,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4093,"base":12}}}}},"used_operators":["eLxqMNBOBk","NTOWxs364D","nCS4ZIUYfx","X99M06cbEe","2td37pGCOC","DhbWaqg5eL","ruOEQAzv1W"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸188B314","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4001","layer":3},{"info":"number node, value=4630","layer":4},{"info":"compute unary expreesion, input=4630, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4630","layer":3},{"info":"compute binary expreesion, left_input=4001, right_input=4630, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=629","layer":2},{"info":"number node, value=4093","layer":4},{"info":"compute unary expreesion, input=4093, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3820","layer":3},{"info":"compute unary expreesion, input=-3820, 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=629, right_input=1522, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2272","layer":1},{"info":"compute unary expreesion, input=-2272, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5161984","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(((⫖↰⪸904≫≃)⨳⩥⨓(⩦⩻⨪⫖↰⪸281A))⩚⊴⇥(+⊝⨔(↔⫖↰⪸2451)))=⫖↰⪸188B314","reverse_text":"⫖↰⪸188B314=⫓⪴(((⫖↰⪸904≫≃)⨳⩥⨓(⩦⩻⨪⫖↰⪸281A))⩚⊴⇥(+⊝⨔(↔⫖↰⪸2451)))","cot":[{"info":"⫖↰⪸904≫≃=⫖↰⪸2395","layer":3},{"info":"⩦⩻⨪⫖↰⪸281A=⫖↰⪸281A","layer":3},{"info":"⫖↰⪸2395⨳⩥⨓⫖↰⪸281A=⫖↰⪸445","layer":2},{"info":"↔⫖↰⪸2451=⫖↰⪸-2264","layer":3},{"info":"+⊝⨔⫖↰⪸-2264=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸445⩚⊴⇥⫖↰⪸A6A=⫖↰⪸-1394","layer":1},{"info":"⫓⪴⫖↰⪸-1394=⫖↰⪸188B314","layer":0}]}
{"id":298,"expression_no_base_symbol":"($4360$⊴$4434$⊉≛↸($5446$⇼⇔∾$2125$)⨸⪁($1130$⪛$3114$+$6365$∲⫓$1509$))⩷∴(($4750$%$1494$)⩨$8787$⩷∴$4943$)⨟⋌⩍((≉$1002$)⋥≓≎(⩦⩻⨪$2566$))","expression":"(⫖↰⪸2634⊴⫖↰⪸2696⊉≛↸(⫖↰⪸319A⇼⇔∾⫖↰⪸1291)⨸⪁(⫖↰⪸7A2⪛⫖↰⪸1976+⫖↰⪸3825∲⫓⫖↰⪸A59))⩷∴((⫖↰⪸28BA%⫖↰⪸A46)⩨⫖↰⪸5103⩷∴⫖↰⪸2A3B)⨟⋌⩍((≉⫖↰⪸6B6)⋥≓≎(⩦⩻⨪⫖↰⪸159A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4510,"operation_count":15,"complexity_ratio":300.6666666666667,"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":4360,"base":12},"right_expr":{"type":"numeric_atoms","value":4434,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5446,"base":12},"right_expr":{"type":"numeric_atoms","value":2125,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1130,"base":12},"right_expr":{"type":"numeric_atoms","value":3114,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6365,"base":12},"right_expr":{"type":"numeric_atoms","value":1509,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4750,"base":12},"right_expr":{"type":"numeric_atoms","value":1494,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8787,"base":12},"right_expr":{"type":"numeric_atoms","value":4943,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1002,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2566,"base":12}}}}},"used_operators":["9FxExcQeMw","g55IO6H4Gj","DZ8iAZOCBD","Nsiff2A1zJ","tifHPKVTfV","W4YGzv6Whe","uFcxV4UQCh","i8ToyICDmI","rGHVDoGpnC","2DlMacCsIx","k8jYdgA6NY","Qy55tPpLXF","e1ybzncUwg","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4360","layer":4},{"info":"number node, value=4434","layer":4},{"info":"compute binary expreesion, left_input=4360, right_input=4434, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5446","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=5446, right_input=2125, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3321","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3321, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1130","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=3114, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1130","layer":3},{"info":"number node, value=6365","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=6365, right_input=1509, 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=1130, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1130","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1130, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=4750","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=4750, right_input=1494, op_id = k8jYdgA6NY binary_op_definition= 'None', output=268","layer":3},{"info":"number node, value=8787","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=8787, right_input=4943, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7656","layer":3},{"info":"compute binary expreesion, left_input=268, right_input=7656, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-84","layer":2},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1533","layer":3},{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2566","layer":3},{"info":"compute binary expreesion, left_input=1533, right_input=2566, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3632","layer":2},{"info":"compute binary expreesion, left_input=-84, right_input=3632, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2634⊴⫖↰⪸2696⊉≛↸(⫖↰⪸319A⇼⇔∾⫖↰⪸1291)⨸⪁(⫖↰⪸7A2⪛⫖↰⪸1976+⫖↰⪸3825∲⫓⫖↰⪸A59))⩷∴((⫖↰⪸28BA%⫖↰⪸A46)⩨⫖↰⪸5103⩷∴⫖↰⪸2A3B)⨟⋌⩍((≉⫖↰⪸6B6)⋥≓≎(⩦⩻⨪⫖↰⪸159A))=NaN","reverse_text":"NaN=(⫖↰⪸2634⊴⫖↰⪸2696⊉≛↸(⫖↰⪸319A⇼⇔∾⫖↰⪸1291)⨸⪁(⫖↰⪸7A2⪛⫖↰⪸1976+⫖↰⪸3825∲⫓⫖↰⪸A59))⩷∴((⫖↰⪸28BA%⫖↰⪸A46)⩨⫖↰⪸5103⩷∴⫖↰⪸2A3B)⨟⋌⩍((≉⫖↰⪸6B6)⋥≓≎(⩦⩻⨪⫖↰⪸159A))","cot":[{"info":"⫖↰⪸2634⊴⫖↰⪸2696=NaN","layer":3},{"info":"⫖↰⪸319A⇼⇔∾⫖↰⪸1291=⫖↰⪸-1B09","layer":3},{"info":"NaN⊉≛↸⫖↰⪸-1B09=NaN","layer":2},{"info":"⫖↰⪸7A2⪛⫖↰⪸1976=⫖↰⪸7A2","layer":3},{"info":"⫖↰⪸3825∲⫓⫖↰⪸A59=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7A2+⫖↰⪸0=⫖↰⪸7A2","layer":2},{"info":"NaN⨸⪁⫖↰⪸7A2=NaN","layer":1},{"info":"⫖↰⪸28BA%⫖↰⪸A46=⫖↰⪸1A4","layer":3},{"info":"⫖↰⪸5103⩷∴⫖↰⪸2A3B=⫖↰⪸4520","layer":3},{"info":"⫖↰⪸1A4⩨⫖↰⪸4520=⫖↰⪸-70","layer":2},{"info":"≉⫖↰⪸6B6=⫖↰⪸A79","layer":3},{"info":"⩦⩻⨪⫖↰⪸159A=⫖↰⪸159A","layer":3},{"info":"⫖↰⪸A79⋥≓≎⫖↰⪸159A=⫖↰⪸2128","layer":2},{"info":"⫖↰⪸-70⨟⋌⩍⫖↰⪸2128=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":299,"expression_no_base_symbol":"↣≠⋷(↥((↯⪼$2141$)⪐))","expression":"↣≠⋷(↥((↯⪼⫖↰⪸12A5)⪐))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":117,"operation_count":4,"complexity_ratio":29.25,"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":2141,"base":12}}}}},"used_operators":["Asc51vEJeQ","A8NUZmVepG","eH2TOUuTDT","8jW3W4yZS5"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2141","layer":4},{"info":"compute unary expreesion, input=2141, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-42","layer":2},{"info":"compute unary expreesion, input=-42, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷(↥((↯⪼⫖↰⪸12A5)⪐))=NaN","reverse_text":"NaN=↣≠⋷(↥((↯⪼⫖↰⪸12A5)⪐))","cot":[{"info":"↯⪼⫖↰⪸12A5=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19⪐=⫖↰⪸-36","layer":2},{"info":"↥⫖↰⪸-36=⫖↰⪸9","layer":1},{"info":"↣≠⋷⫖↰⪸9=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"((⪲⇎$1791$≭$5691$)≦≮≮)⋓($9196$⩚⊴⇥$3831$⊭↱(⇁⨣⪵$6032$)%($4931$⨽$4298$)≭$2495$⨟⋌⩍$9288$)","expression":"((⪲⇎⫖↰⪸1053≭⫖↰⪸3363)≦≮≮)⋓(⫖↰⪸53A4⩚⊴⇥⫖↰⪸2273⊭↱(⇁⨣⪵⫖↰⪸35A8)%(⫖↰⪸2A2B⨽⫖↰⪸25A2)≭⫖↰⪸153B⨟⋌⩍⫖↰⪸5460)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4972,"operation_count":11,"complexity_ratio":452.0,"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":1791,"base":12},"right_expr":{"type":"numeric_atoms","value":5691,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":9196,"base":12},"right_expr":{"type":"numeric_atoms","value":3831,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6032,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4931,"base":12},"right_expr":{"type":"numeric_atoms","value":4298,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2495,"base":12},"right_expr":{"type":"numeric_atoms","value":9288,"base":12}}}}},"used_operators":["T2fj7uvVaJ","D4vGDi5EA2","XPYlsWDdGa","rxpJgHHUmx","k8jYdgA6NY","COABgblf1C","NTOWxs364D","inkyxCbjAn","8HhzD0ZcuI","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"number node, value=5691","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=5691, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=9196","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=9196, right_input=3831, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13148","layer":3},{"info":"number node, value=6032","layer":4},{"info":"compute unary expreesion, input=6032, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13148, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4931","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=4931, right_input=4298, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72955863","layer":3},{"info":"number node, value=2495","layer":4},{"info":"number node, value=9288","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=9288, 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=-72955863, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪲⇎⫖↰⪸1053≭⫖↰⪸3363)≦≮≮)⋓(⫖↰⪸53A4⩚⊴⇥⫖↰⪸2273⊭↱(⇁⨣⪵⫖↰⪸35A8)%(⫖↰⪸2A2B⨽⫖↰⪸25A2)≭⫖↰⪸153B⨟⋌⩍⫖↰⪸5460)=NaN","reverse_text":"NaN=((⪲⇎⫖↰⪸1053≭⫖↰⪸3363)≦≮≮)⋓(⫖↰⪸53A4⩚⊴⇥⫖↰⪸2273⊭↱(⇁⨣⪵⫖↰⪸35A8)%(⫖↰⪸2A2B⨽⫖↰⪸25A2)≭⫖↰⪸153B⨟⋌⩍⫖↰⪸5460)","cot":[{"info":"⫖↰⪸1053≭⫖↰⪸3363=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⫖↰⪸53A4⩚⊴⇥⫖↰⪸2273=⫖↰⪸-7738","layer":3},{"info":"⇁⨣⪵⫖↰⪸35A8=NaN","layer":3},{"info":"⫖↰⪸-7738⊭↱NaN=NaN","layer":2},{"info":"⫖↰⪸2A2B⨽⫖↰⪸25A2=⫖↰⪸-205239B3","layer":3},{"info":"⫖↰⪸153B⨟⋌⩍⫖↰⪸5460=NaN","layer":3},{"info":"⫖↰⪸-205239B3≭NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"((≉$4942$∀⇚≩$2591$)⊭↱($6575$≫≃)↺$1105$↬$1421$)⪄($1942$⊴$1572$⊉≛↸($2117$%$1317$))⫸⊐($1796$-$1358$)⋳⪒$2866$⩚⊴⇥$2919$","expression":"((≉⫖↰⪸2A3A∀⇚≩⫖↰⪸15BB)⊭↱(⫖↰⪸397B≫≃)↺⫖↰⪸781↬⫖↰⪸9A5)⪄(⫖↰⪸115A⊴⫖↰⪸AB0⊉≛↸(⫖↰⪸1285%⫖↰⪸919))⫸⊐(⫖↰⪸1058-⫖↰⪸952)⋳⪒⫖↰⪸17AA⩚⊴⇥⫖↰⪸1833","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37415,"operation_count":14,"complexity_ratio":2672.5,"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":4942,"base":12},"right_expr":{"type":"numeric_atoms","value":2591,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6575,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1105,"base":12},"right_expr":{"type":"numeric_atoms","value":1421,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1942,"base":12},"right_expr":{"type":"numeric_atoms","value":1572,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2117,"base":12},"right_expr":{"type":"numeric_atoms","value":1317,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1796,"base":12},"right_expr":{"type":"numeric_atoms","value":1358,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2866,"base":12},"right_expr":{"type":"numeric_atoms","value":2919,"base":12}}}}},"used_operators":["SUmda5xLS4","COABgblf1C","e1ybzncUwg","LRNGc0VcxI","7j4O788W3g","X99M06cbEe","B5M0gjZbta","mqXw5SEYmG","DZ8iAZOCBD","Nsiff2A1zJ","k8jYdgA6NY","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4942","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=4942, right_input=2591, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=6575","layer":4},{"info":"compute unary expreesion, input=6575, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=14551","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1421, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=14551, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1942","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1572, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2117","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1317, op_id = k8jYdgA6NY binary_op_definition= 'None', output=800","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=800, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1358, op_id = rysDP5nf3Z binary_op_definition= 'None', output=438","layer":3},{"info":"number node, value=2866","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=2919, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5906","layer":3},{"info":"compute binary expreesion, left_input=438, right_input=-5906, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6495","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6495, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((≉⫖↰⪸2A3A∀⇚≩⫖↰⪸15BB)⊭↱(⫖↰⪸397B≫≃)↺⫖↰⪸781↬⫖↰⪸9A5)⪄(⫖↰⪸115A⊴⫖↰⪸AB0⊉≛↸(⫖↰⪸1285%⫖↰⪸919))⫸⊐(⫖↰⪸1058-⫖↰⪸952)⋳⪒⫖↰⪸17AA⩚⊴⇥⫖↰⪸1833=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=((≉⫖↰⪸2A3A∀⇚≩⫖↰⪸15BB)⊭↱(⫖↰⪸397B≫≃)↺⫖↰⪸781↬⫖↰⪸9A5)⪄(⫖↰⪸115A⊴⫖↰⪸AB0⊉≛↸(⫖↰⪸1285%⫖↰⪸919))⫸⊐(⫖↰⪸1058-⫖↰⪸952)⋳⪒⫖↰⪸17AA⩚⊴⇥⫖↰⪸1833","cot":[{"info":"⫖↰⪸2A3A∀⇚≩⫖↰⪸15BB=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫖↰⪸397B≫≃=⫖↰⪸8507","layer":3},{"info":"⫖↰⪸781↬⫖↰⪸9A5=NaN","layer":3},{"info":"⫖↰⪸8507↺NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸115A⊴⫖↰⪸AB0=NaN","layer":3},{"info":"⫖↰⪸1285%⫖↰⪸919=⫖↰⪸568","layer":3},{"info":"NaN⊉≛↸⫖↰⪸568=NaN","layer":2},{"info":"⫖↰⪸1058-⫖↰⪸952=⫖↰⪸306","layer":3},{"info":"⫖↰⪸17AA⩚⊴⇥⫖↰⪸1833=⫖↰⪸-3502","layer":3},{"info":"⫖↰⪸306⋳⪒⫖↰⪸-3502=⫖↰⪸3913","layer":2},{"info":"NaN⫸⊐⫖↰⪸3913=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":302,"expression_no_base_symbol":"(+⊝⨔($1219$⩤))∑⇟⊟((⨑⩽⪐$1544$)⨽$5967$⨽$5290$)+⇶⊼((⋗⩬⋾$2523$)⨳⩥⨓($1016$⨵⪆$2003$))⨪↰⇹(⊙↵-($1049$⪘⫢$1668$))","expression":"(+⊝⨔(⫖↰⪸857⩤))∑⇟⊟((⨑⩽⪐⫖↰⪸A88)⨽⫖↰⪸3553⨽⫖↰⪸308A)+⇶⊼((⋗⩬⋾⫖↰⪸1563)⨳⩥⨓(⫖↰⪸708⨵⪆⫖↰⪸11AB))⨪↰⇹(⊙↵-(⫖↰⪸735⪘⫢⫖↰⪸B70))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17054,"operation_count":13,"complexity_ratio":1311.8461538461538,"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":1219,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1544,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5967,"base":12},"right_expr":{"type":"numeric_atoms","value":5290,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2523,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":2003,"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":1668,"base":12}}}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","DhbWaqg5eL","Z2TMIBDE3Q","8HhzD0ZcuI","AF7qkfDlqP","tmPS8pqC7x","nCS4ZIUYfx","DpFCA1CohY","2DQ55sFlQl","oWn0xqSxBt","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1219","layer":3},{"info":"compute unary expreesion, input=-1219, 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=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1271","layer":3},{"info":"number node, value=5967","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=5967, right_input=5290, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-106829823","layer":3},{"info":"compute binary expreesion, left_input=-1271, right_input=-106829823, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=315644460","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=315644460, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7569","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2003, 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=-7569, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7729","layer":2},{"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 = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1974","layer":3},{"info":"compute unary expreesion, input=1974, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=7729, right_input=-1, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7729","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7729, 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":"(+⊝⨔(⫖↰⪸857⩤))∑⇟⊟((⨑⩽⪐⫖↰⪸A88)⨽⫖↰⪸3553⨽⫖↰⪸308A)+⇶⊼((⋗⩬⋾⫖↰⪸1563)⨳⩥⨓(⫖↰⪸708⨵⪆⫖↰⪸11AB))⨪↰⇹(⊙↵-(⫖↰⪸735⪘⫢⫖↰⪸B70))=NaN","reverse_text":"NaN=(+⊝⨔(⫖↰⪸857⩤))∑⇟⊟((⨑⩽⪐⫖↰⪸A88)⨽⫖↰⪸3553⨽⫖↰⪸308A)+⇶⊼((⋗⩬⋾⫖↰⪸1563)⨳⩥⨓(⫖↰⪸708⨵⪆⫖↰⪸11AB))⨪↰⇹(⊙↵-(⫖↰⪸735⪘⫢⫖↰⪸B70))","cot":[{"info":"⫖↰⪸857⩤=⫖↰⪸-857","layer":3},{"info":"+⊝⨔⫖↰⪸-857=⫖↰⪸A6A","layer":2},{"info":"⨑⩽⪐⫖↰⪸A88=⫖↰⪸-89B","layer":3},{"info":"⫖↰⪸3553⨽⫖↰⪸308A=⫖↰⪸-2B93A993","layer":3},{"info":"⫖↰⪸-89B⨽⫖↰⪸-2B93A993=⫖↰⪸89860750","layer":2},{"info":"⫖↰⪸A6A∑⇟⊟⫖↰⪸89860750=NaN","layer":1},{"info":"⋗⩬⋾⫖↰⪸1563=⫖↰⪸-4469","layer":3},{"info":"⫖↰⪸708⨵⪆⫖↰⪸11AB=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-4469⨳⩥⨓⫖↰⪸114=⫖↰⪸4581","layer":2},{"info":"⫖↰⪸735⪘⫢⫖↰⪸B70=⫖↰⪸1186","layer":3},{"info":"⊙↵-⫖↰⪸1186=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸4581⨪↰⇹⫖↰⪸-1=⫖↰⪸4581","layer":1},{"info":"NaN+⇶⊼⫖↰⪸4581=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"↣≠⋷((⋗⩬⋾$1001$)≭($3489$↪⪝)+⇶⊼(($3390$⋷$3117$)⩚⊴⇥($3700$⫌⩹⨱)))","expression":"↣≠⋷((⋗⩬⋾⫖↰⪸6B5)≭(⫖↰⪸2029↪⪝)+⇶⊼((⫖↰⪸1B66⋷⫖↰⪸1979)⩚⊴⇥(⫖↰⪸2184⫌⩹⨱)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":721,"operation_count":8,"complexity_ratio":90.125,"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":1001,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3489,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3390,"base":12},"right_expr":{"type":"numeric_atoms","value":3117,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3700,"base":12}}}}},"used_operators":["Asc51vEJeQ","TpPTUOHfaN","rxpJgHHUmx","DpFCA1CohY","l07mrZUIn9","NTOWxs364D","23Mk6UjR3U","EBcxylXtPf"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3003","layer":3},{"info":"number node, value=3489","layer":4},{"info":"compute unary expreesion, input=3489, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=213463998","layer":3},{"info":"compute binary expreesion, left_input=-3003, right_input=213463998, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3390","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=3117, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2844","layer":3},{"info":"number node, value=3700","layer":4},{"info":"compute unary expreesion, input=3700, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8801","layer":3},{"info":"compute binary expreesion, left_input=2844, right_input=8801, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11766","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11766, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((⋗⩬⋾⫖↰⪸6B5)≭(⫖↰⪸2029↪⪝)+⇶⊼((⫖↰⪸1B66⋷⫖↰⪸1979)⩚⊴⇥(⫖↰⪸2184⫌⩹⨱)))=NaN","reverse_text":"NaN=↣≠⋷((⋗⩬⋾⫖↰⪸6B5)≭(⫖↰⪸2029↪⪝)+⇶⊼((⫖↰⪸1B66⋷⫖↰⪸1979)⩚⊴⇥(⫖↰⪸2184⫌⩹⨱)))","cot":[{"info":"⋗⩬⋾⫖↰⪸6B5=⫖↰⪸-18A3","layer":3},{"info":"⫖↰⪸2029↪⪝=⫖↰⪸5B5A44A6","layer":3},{"info":"⫖↰⪸-18A3≭⫖↰⪸5B5A44A6=NaN","layer":2},{"info":"⫖↰⪸1B66⋷⫖↰⪸1979=⫖↰⪸1790","layer":3},{"info":"⫖↰⪸2184⫌⩹⨱=⫖↰⪸5115","layer":3},{"info":"⫖↰⪸1790⩚⊴⇥⫖↰⪸5115=⫖↰⪸-6986","layer":2},{"info":"NaN+⇶⊼⫖↰⪸-6986=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"(⪝⪂⫅(⨰⫟⨤$1749$))⪛($1792$⨸⪁$6318$*$4464$⩷∴$3252$)⨎(($1205$⫸⊐$9035$)⪢($6187$⋓$1117$)⊠≄⫣)","expression":"(⪝⪂⫅(⨰⫟⨤⫖↰⪸1019))⪛(⫖↰⪸1054⨸⪁⫖↰⪸37A6*⫖↰⪸2700⩷∴⫖↰⪸1A70)⨎((⫖↰⪸845⫸⊐⫖↰⪸528B)⪢(⫖↰⪸36B7⋓⫖↰⪸791)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8607,"operation_count":11,"complexity_ratio":782.4545454545455,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1749,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1792,"base":12},"right_expr":{"type":"numeric_atoms","value":6318,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4464,"base":12},"right_expr":{"type":"numeric_atoms","value":3252,"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":9035,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6187,"base":12},"right_expr":{"type":"numeric_atoms","value":1117,"base":12}}}}},"used_operators":["rJVOvQCfKK","uFcxV4UQCh","XTarYq4gQB","Tw270M8GLb","9HNa5Wba9A","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","dWAJyo7jo9","mqXw5SEYmG","T2fj7uvVaJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","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=1749","layer":4},{"info":"compute unary expreesion, input=1749, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=1792","layer":4},{"info":"number node, value=6318","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=6318, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16220","layer":3},{"info":"number node, value=4464","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=4464, right_input=3252, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2392","layer":3},{"info":"compute binary expreesion, left_input=16220, right_input=2392, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=38798240","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=38798240, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1205","layer":4},{"info":"number node, value=9035","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=9035, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=36015","layer":3},{"info":"number node, value=6187","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=6187, right_input=1117, 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=36015, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅(⨰⫟⨤⫖↰⪸1019))⪛(⫖↰⪸1054⨸⪁⫖↰⪸37A6*⫖↰⪸2700⩷∴⫖↰⪸1A70)⨎((⫖↰⪸845⫸⊐⫖↰⪸528B)⪢(⫖↰⪸36B7⋓⫖↰⪸791)⊠≄⫣)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⪝⪂⫅(⨰⫟⨤⫖↰⪸1019))⪛(⫖↰⪸1054⨸⪁⫖↰⪸37A6*⫖↰⪸2700⩷∴⫖↰⪸1A70)⨎((⫖↰⪸845⫸⊐⫖↰⪸528B)⪢(⫖↰⪸36B7⋓⫖↰⪸791)⊠≄⫣)","cot":[{"info":"⨰⫟⨤⫖↰⪸1019=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⫖↰⪸1054⨸⪁⫖↰⪸37A6=⫖↰⪸9478","layer":3},{"info":"⫖↰⪸2700⩷∴⫖↰⪸1A70=⫖↰⪸1474","layer":3},{"info":"⫖↰⪸9478*⫖↰⪸1474=⫖↰⪸10BB0828","layer":2},{"info":"NaN⪛⫖↰⪸10BB0828=NaN","layer":1},{"info":"⫖↰⪸845⫸⊐⫖↰⪸528B=⫖↰⪸18A13","layer":3},{"info":"⫖↰⪸36B7⋓⫖↰⪸791=⫖↰⪸0","layer":3},{"info":"⫖↰⪸18A13⪢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⊠≄⫣=⫖↰⪸0","layer":1},{"info":"NaN⨎⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":305,"expression_no_base_symbol":"(($2132$≎⊠⪸$1392$)⋓(↥$3033$))⪛($1118$⋝⋈⪟$2981$≫≃)⋷(⪲⇎($6214$⨳⩥⨓$5839$))⨸⪁((⋗⩬⋾$2619$)⪨≂(↯⪼$2724$))","expression":"((⫖↰⪸1298≎⊠⪸⫖↰⪸980)⋓(↥⫖↰⪸1909))⪛(⫖↰⪸792⋝⋈⪟⫖↰⪸1885≫≃)⋷(⪲⇎(⫖↰⪸371A⨳⩥⨓⫖↰⪸3467))⨸⪁((⋗⩬⋾⫖↰⪸1623)⪨≂(↯⪼⫖↰⪸16B0))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":405,"operation_count":13,"complexity_ratio":31.153846153846153,"tree":{"type":"binary","operator":"⋷","left_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":1392,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3033,"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":2981,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6214,"base":12},"right_expr":{"type":"numeric_atoms","value":5839,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2619,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2724,"base":12}}}}},"used_operators":["23Mk6UjR3U","uFcxV4UQCh","T2fj7uvVaJ","bJkvcejdHO","A8NUZmVepG","X99M06cbEe","2DDjHMKMc0","g55IO6H4Gj","XPYlsWDdGa","nCS4ZIUYfx","sdazOOVcIp","DpFCA1CohY","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2132","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=1392, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=551715","layer":3},{"info":"number node, value=3033","layer":4},{"info":"compute unary expreesion, input=3033, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":3},{"info":"compute binary expreesion, left_input=551715, right_input=24, 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=1118","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=2981, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1118","layer":3},{"info":"compute unary expreesion, input=1118, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3637","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3637, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"number node, value=6214","layer":4},{"info":"number node, value=5839","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=5839, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-375","layer":3},{"info":"compute unary expreesion, input=-375, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-750","layer":2},{"info":"number node, value=2619","layer":4},{"info":"compute unary expreesion, input=2619, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7857","layer":3},{"info":"number node, value=2724","layer":4},{"info":"compute unary expreesion, input=2724, 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=-7857, right_input=-21, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-15570","layer":2},{"info":"compute binary expreesion, left_input=-750, right_input=-15570, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-32640","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-32640, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1298≎⊠⪸⫖↰⪸980)⋓(↥⫖↰⪸1909))⪛(⫖↰⪸792⋝⋈⪟⫖↰⪸1885≫≃)⋷(⪲⇎(⫖↰⪸371A⨳⩥⨓⫖↰⪸3467))⨸⪁((⋗⩬⋾⫖↰⪸1623)⪨≂(↯⪼⫖↰⪸16B0))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸1298≎⊠⪸⫖↰⪸980)⋓(↥⫖↰⪸1909))⪛(⫖↰⪸792⋝⋈⪟⫖↰⪸1885≫≃)⋷(⪲⇎(⫖↰⪸371A⨳⩥⨓⫖↰⪸3467))⨸⪁((⋗⩬⋾⫖↰⪸1623)⪨≂(↯⪼⫖↰⪸16B0))","cot":[{"info":"⫖↰⪸1298≎⊠⪸⫖↰⪸980=⫖↰⪸227343","layer":3},{"info":"↥⫖↰⪸1909=⫖↰⪸20","layer":3},{"info":"⫖↰⪸227343⋓⫖↰⪸20=⫖↰⪸0","layer":2},{"info":"⫖↰⪸792⋝⋈⪟⫖↰⪸1885=⫖↰⪸792","layer":3},{"info":"⫖↰⪸792≫≃=⫖↰⪸2131","layer":2},{"info":"⫖↰⪸0⪛⫖↰⪸2131=⫖↰⪸0","layer":1},{"info":"⫖↰⪸371A⨳⩥⨓⫖↰⪸3467=⫖↰⪸-273","layer":3},{"info":"⪲⇎⫖↰⪸-273=⫖↰⪸-526","layer":2},{"info":"⋗⩬⋾⫖↰⪸1623=⫖↰⪸-4669","layer":3},{"info":"↯⪼⫖↰⪸16B0=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-4669⪨≂⫖↰⪸-19=⫖↰⪸-9016","layer":2},{"info":"⫖↰⪸-526⨸⪁⫖↰⪸-9016=⫖↰⪸-16A80","layer":1},{"info":"⫖↰⪸0⋷⫖↰⪸-16A80=⫖↰⪸0","layer":0}]}
{"id":306,"expression_no_base_symbol":"(($1013$↺$4748$⪒$1012$⩚⊴⇥$3065$)⨪↰⇹($1642$⪮%⊝$1830$≎⊠⪸$1021$⪘⫢$2468$))∼(($4006$⊴$6561$⨎$1473$⩚⊴⇥$3905$)+⇶⊼(⩦⩻⨪(⊥$6994$)))","expression":"((⫖↰⪸705↺⫖↰⪸28B8⪒⫖↰⪸704⩚⊴⇥⫖↰⪸1935)⨪↰⇹(⫖↰⪸B4A⪮%⊝⫖↰⪸1086≎⊠⪸⫖↰⪸711⪘⫢⫖↰⪸1518))∼((⫖↰⪸239A⊴⫖↰⪸3969⨎⫖↰⪸A29⩚⊴⇥⫖↰⪸2315)+⇶⊼(⩦⩻⨪(⊥⫖↰⪸406A)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7440,"operation_count":14,"complexity_ratio":531.4285714285714,"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":1013,"base":12},"right_expr":{"type":"numeric_atoms","value":4748,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1012,"base":12},"right_expr":{"type":"numeric_atoms","value":3065,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1642,"base":12},"right_expr":{"type":"numeric_atoms","value":1830,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1021,"base":12},"right_expr":{"type":"numeric_atoms","value":2468,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4006,"base":12},"right_expr":{"type":"numeric_atoms","value":6561,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1473,"base":12},"right_expr":{"type":"numeric_atoms","value":3905,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6994,"base":12}}}}},"used_operators":["DyGG3AbaNP","tmPS8pqC7x","f6k1SAg4EE","7j4O788W3g","NTOWxs364D","bJkvcejdHO","IWmyXbctLI","oacrs7FA3X","TpPTUOHfaN","rJVOvQCfKK","Nsiff2A1zJ","2td37pGCOC","Q3PJZHRvZv"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=4748, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4748","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3065, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4198","layer":3},{"info":"compute binary expreesion, left_input=4748, right_input=-4198, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-550","layer":2},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1830, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3600","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2468, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1918","layer":3},{"info":"compute binary expreesion, left_input=3600, right_input=1918, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=931927","layer":2},{"info":"compute binary expreesion, left_input=-550, right_input=931927, 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=-550","layer":1},{"info":"number node, value=4006","layer":4},{"info":"number node, value=6561","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=6561, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1473","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=3905, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5499","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5499, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5499","layer":2},{"info":"number node, value=6994","layer":4},{"info":"compute unary expreesion, input=6994, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5499, 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=-550, 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":"((⫖↰⪸705↺⫖↰⪸28B8⪒⫖↰⪸704⩚⊴⇥⫖↰⪸1935)⨪↰⇹(⫖↰⪸B4A⪮%⊝⫖↰⪸1086≎⊠⪸⫖↰⪸711⪘⫢⫖↰⪸1518))∼((⫖↰⪸239A⊴⫖↰⪸3969⨎⫖↰⪸A29⩚⊴⇥⫖↰⪸2315)+⇶⊼(⩦⩻⨪(⊥⫖↰⪸406A)))=NaN","reverse_text":"NaN=((⫖↰⪸705↺⫖↰⪸28B8⪒⫖↰⪸704⩚⊴⇥⫖↰⪸1935)⨪↰⇹(⫖↰⪸B4A⪮%⊝⫖↰⪸1086≎⊠⪸⫖↰⪸711⪘⫢⫖↰⪸1518))∼((⫖↰⪸239A⊴⫖↰⪸3969⨎⫖↰⪸A29⩚⊴⇥⫖↰⪸2315)+⇶⊼(⩦⩻⨪(⊥⫖↰⪸406A)))","cot":[{"info":"⫖↰⪸705↺⫖↰⪸28B8=⫖↰⪸28B8","layer":3},{"info":"⫖↰⪸704⩚⊴⇥⫖↰⪸1935=⫖↰⪸-251A","layer":3},{"info":"⫖↰⪸28B8⪒⫖↰⪸-251A=⫖↰⪸-39A","layer":2},{"info":"⫖↰⪸B4A⪮%⊝⫖↰⪸1086=⫖↰⪸2100","layer":3},{"info":"⫖↰⪸711⪘⫢⫖↰⪸1518=⫖↰⪸113A","layer":3},{"info":"⫖↰⪸2100≎⊠⪸⫖↰⪸113A=⫖↰⪸38B387","layer":2},{"info":"⫖↰⪸-39A⨪↰⇹⫖↰⪸38B387=⫖↰⪸-39A","layer":1},{"info":"⫖↰⪸239A⊴⫖↰⪸3969=NaN","layer":3},{"info":"⫖↰⪸A29⩚⊴⇥⫖↰⪸2315=⫖↰⪸-3223","layer":3},{"info":"NaN⨎⫖↰⪸-3223=⫖↰⪸-3223","layer":2},{"info":"⊥⫖↰⪸406A=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⫖↰⪸-3223+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸-39A∼NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"↯⪼(⨑⩽⪐($3915$⋥≓≎$3474$+$1447$⋳⪒$3608$))","expression":"↯⪼(⨑⩽⪐(⫖↰⪸2323⋥≓≎⫖↰⪸2016+⫖↰⪸A07⋳⪒⫖↰⪸2108))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":29,"operation_count":5,"complexity_ratio":5.8,"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":3915,"base":12},"right_expr":{"type":"numeric_atoms","value":3474,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1447,"base":12},"right_expr":{"type":"numeric_atoms","value":3608,"base":12}}}}},"used_operators":["8jW3W4yZS5","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","12rbrZMWeM"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1663","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3915","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=3474, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3066","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=3608, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1001","layer":3},{"info":"compute binary expreesion, left_input=3066, right_input=-1001, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2065","layer":2},{"info":"compute unary expreesion, input=2065, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1792","layer":1},{"info":"compute unary expreesion, input=-1792, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2667","layer":0}],"base":12,"result_base":12,"text":"↯⪼(⨑⩽⪐(⫖↰⪸2323⋥≓≎⫖↰⪸2016+⫖↰⪸A07⋳⪒⫖↰⪸2108))=⫖↰⪸1663","reverse_text":"⫖↰⪸1663=↯⪼(⨑⩽⪐(⫖↰⪸2323⋥≓≎⫖↰⪸2016+⫖↰⪸A07⋳⪒⫖↰⪸2108))","cot":[{"info":"⫖↰⪸2323⋥≓≎⫖↰⪸2016=⫖↰⪸1936","layer":3},{"info":"⫖↰⪸A07⋳⪒⫖↰⪸2108=⫖↰⪸-6B5","layer":3},{"info":"⫖↰⪸1936+⫖↰⪸-6B5=⫖↰⪸1241","layer":2},{"info":"⨑⩽⪐⫖↰⪸1241=⫖↰⪸-1054","layer":1},{"info":"↯⪼⫖↰⪸-1054=⫖↰⪸1663","layer":0}]}
{"id":308,"expression_no_base_symbol":"(≦∁$4315$⋓$2930$↺$1428$≧⫂∧$1534$)⊭↱($4882$⨳⩥⨓$1623$⪒(∥⊫$2546$))⨐⩸⫘($1873$⊭∹↮)∀⇚≩($1911$⨽$1431$)","expression":"(≦∁⫖↰⪸25B7⋓⫖↰⪸1842↺⫖↰⪸9B0≧⫂∧⫖↰⪸A7A)⊭↱(⫖↰⪸29AA⨳⩥⨓⫖↰⪸B33⪒(∥⊫⫖↰⪸1582))⨐⩸⫘(⫖↰⪸1101⊭∹↮)∀⇚≩(⫖↰⪸1133⨽⫖↰⪸9B3)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28182,"operation_count":12,"complexity_ratio":2348.5,"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":4315,"base":12},"right_expr":{"type":"numeric_atoms","value":2930,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":1534,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4882,"base":12},"right_expr":{"type":"numeric_atoms","value":1623,"base":12}},"right_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":"numeric_atoms","value":1873,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1911,"base":12},"right_expr":{"type":"numeric_atoms","value":1431,"base":12}}}}},"used_operators":["COABgblf1C","9ICcGScMcE","7j4O788W3g","T2fj7uvVaJ","Ph9nP6C5qx","fu6greOZ01","f6k1SAg4EE","nCS4ZIUYfx","P8v4zCKN1o","LRNGc0VcxI","xNBdhnnwKq","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4315","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=4315, right_input=2930, 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=1428","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=1534, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1061","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1061, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1061","layer":2},{"info":"compute unary expreesion, input=1061, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1061","layer":1},{"info":"number node, value=4882","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=4882, right_input=1623, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3259","layer":3},{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3414","layer":3},{"info":"compute binary expreesion, left_input=-3259, right_input=3414, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-155","layer":2},{"info":"number node, value=1873","layer":4},{"info":"compute unary expreesion, input=1873, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3746","layer":3},{"info":"number node, value=1911","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=1431, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10958742","layer":3},{"info":"compute binary expreesion, left_input=3746, right_input=-10958742, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-155, 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=1061, 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":"(≦∁⫖↰⪸25B7⋓⫖↰⪸1842↺⫖↰⪸9B0≧⫂∧⫖↰⪸A7A)⊭↱(⫖↰⪸29AA⨳⩥⨓⫖↰⪸B33⪒(∥⊫⫖↰⪸1582))⨐⩸⫘(⫖↰⪸1101⊭∹↮)∀⇚≩(⫖↰⪸1133⨽⫖↰⪸9B3)=NaN","reverse_text":"NaN=(≦∁⫖↰⪸25B7⋓⫖↰⪸1842↺⫖↰⪸9B0≧⫂∧⫖↰⪸A7A)⊭↱(⫖↰⪸29AA⨳⩥⨓⫖↰⪸B33⪒(∥⊫⫖↰⪸1582))⨐⩸⫘(⫖↰⪸1101⊭∹↮)∀⇚≩(⫖↰⪸1133⨽⫖↰⪸9B3)","cot":[{"info":"⫖↰⪸25B7⋓⫖↰⪸1842=⫖↰⪸0","layer":3},{"info":"⫖↰⪸9B0≧⫂∧⫖↰⪸A7A=⫖↰⪸745","layer":3},{"info":"⫖↰⪸0↺⫖↰⪸745=⫖↰⪸745","layer":2},{"info":"≦∁⫖↰⪸745=⫖↰⪸745","layer":1},{"info":"⫖↰⪸29AA⨳⩥⨓⫖↰⪸B33=⫖↰⪸-1A77","layer":3},{"info":"∥⊫⫖↰⪸1582=⫖↰⪸1B86","layer":3},{"info":"⫖↰⪸-1A77⪒⫖↰⪸1B86=⫖↰⪸-10B","layer":2},{"info":"⫖↰⪸1101⊭∹↮=⫖↰⪸2202","layer":3},{"info":"⫖↰⪸1133⨽⫖↰⪸9B3=⫖↰⪸-3805A46","layer":3},{"info":"⫖↰⪸2202∀⇚≩⫖↰⪸-3805A46=NaN","layer":2},{"info":"⫖↰⪸-10B⨐⩸⫘NaN=NaN","layer":1},{"info":"⫖↰⪸745⊭↱NaN=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"⫓⪴(⨑⩽⪐$2798$⪘⫢$1139$)∼(⫛⫱⨽($1091$⨰$1030$))","expression":"⫓⪴(⨑⩽⪐⫖↰⪸1752⪘⫢⫖↰⪸7AB)∼(⫛⫱⨽(⫖↰⪸76B⨰⫖↰⪸71A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1149,"operation_count":6,"complexity_ratio":191.5,"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":2798,"base":12},"right_expr":{"type":"numeric_atoms","value":1139,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1091,"base":12},"right_expr":{"type":"numeric_atoms","value":1030,"base":12}}}}},"used_operators":["eLxqMNBOBk","DyGG3AbaNP","AF7qkfDlqP","oacrs7FA3X","DlLNRPXxWL","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸294","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=1139, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5472","layer":3},{"info":"compute unary expreesion, input=5472, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5199","layer":2},{"info":"number node, value=1091","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1030, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=71","layer":3},{"info":"compute unary expreesion, input=71, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5199, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=400","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⨑⩽⪐⫖↰⪸1752⪘⫢⫖↰⪸7AB)∼(⫛⫱⨽(⫖↰⪸76B⨰⫖↰⪸71A))=⫖↰⪸294","reverse_text":"⫖↰⪸294=⫓⪴(⨑⩽⪐⫖↰⪸1752⪘⫢⫖↰⪸7AB)∼(⫛⫱⨽(⫖↰⪸76B⨰⫖↰⪸71A))","cot":[{"info":"⫖↰⪸1752⪘⫢⫖↰⪸7AB=⫖↰⪸3200","layer":3},{"info":"⨑⩽⪐⫖↰⪸3200=⫖↰⪸-3013","layer":2},{"info":"⫖↰⪸76B⨰⫖↰⪸71A=⫖↰⪸5B","layer":3},{"info":"⫛⫱⨽⫖↰⪸5B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-3013∼⫖↰⪸0=⫖↰⪸18","layer":1},{"info":"⫓⪴⫖↰⪸18=⫖↰⪸294","layer":0}]}
{"id":310,"expression_no_base_symbol":"((⊥$6394$)+⇶⊼$5145$⨟⋌⩍$2664$⪨≂$3272$⨟⋌⩍$2355$⨎($7698$⫡⨏$3081$))⋳⪒(($8381$⋓$3031$)⪛($2590$⪄$3398$)⇼⇔∾($1247$+⇶⊼$3371$)⪘⫢($3655$+$1337$))","expression":"((⊥⫖↰⪸384A)+⇶⊼⫖↰⪸2B89⨟⋌⩍⫖↰⪸1660⪨≂⫖↰⪸1A88⨟⋌⩍⫖↰⪸1443⨎(⫖↰⪸4556⫡⨏⫖↰⪸1949))⋳⪒((⫖↰⪸4A25⋓⫖↰⪸1907)⪛(⫖↰⪸15BA⪄⫖↰⪸1B72)⇼⇔∾(⫖↰⪸87B+⇶⊼⫖↰⪸1B4B)⪘⫢(⫖↰⪸2147+⫖↰⪸935))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":149,"operation_count":15,"complexity_ratio":9.933333333333334,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6394,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5145,"base":12},"right_expr":{"type":"numeric_atoms","value":2664,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3272,"base":12},"right_expr":{"type":"numeric_atoms","value":2355,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7698,"base":12},"right_expr":{"type":"numeric_atoms","value":3081,"base":12}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8381,"base":12},"right_expr":{"type":"numeric_atoms","value":3031,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2590,"base":12},"right_expr":{"type":"numeric_atoms","value":3398,"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":3371,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3655,"base":12},"right_expr":{"type":"numeric_atoms","value":1337,"base":12}}}}},"used_operators":["12rbrZMWeM","sdazOOVcIp","TpPTUOHfaN","Q3PJZHRvZv","rGHVDoGpnC","rJVOvQCfKK","QMFrweE19q","tifHPKVTfV","uFcxV4UQCh","T2fj7uvVaJ","SUmda5xLS4","oacrs7FA3X","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6394","layer":4},{"info":"compute unary expreesion, input=6394, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5145","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=5145, right_input=2664, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=3272","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=2355, 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=7698","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=7698, right_input=3081, 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=45435","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=45435, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=45435","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=45435, op_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=8381","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=8381, right_input=3031, 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=2590","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=3398, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-393001","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-393001, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=1247","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=3371, 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=3655","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3655, right_input=1337, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4992","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4992, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊥⫖↰⪸384A)+⇶⊼⫖↰⪸2B89⨟⋌⩍⫖↰⪸1660⪨≂⫖↰⪸1A88⨟⋌⩍⫖↰⪸1443⨎(⫖↰⪸4556⫡⨏⫖↰⪸1949))⋳⪒((⫖↰⪸4A25⋓⫖↰⪸1907)⪛(⫖↰⪸15BA⪄⫖↰⪸1B72)⇼⇔∾(⫖↰⪸87B+⇶⊼⫖↰⪸1B4B)⪘⫢(⫖↰⪸2147+⫖↰⪸935))=NaN","reverse_text":"NaN=((⊥⫖↰⪸384A)+⇶⊼⫖↰⪸2B89⨟⋌⩍⫖↰⪸1660⪨≂⫖↰⪸1A88⨟⋌⩍⫖↰⪸1443⨎(⫖↰⪸4556⫡⨏⫖↰⪸1949))⋳⪒((⫖↰⪸4A25⋓⫖↰⪸1907)⪛(⫖↰⪸15BA⪄⫖↰⪸1B72)⇼⇔∾(⫖↰⪸87B+⇶⊼⫖↰⪸1B4B)⪘⫢(⫖↰⪸2147+⫖↰⪸935))","cot":[{"info":"⊥⫖↰⪸384A=NaN","layer":3},{"info":"⫖↰⪸2B89⨟⋌⩍⫖↰⪸1660=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸1A88⨟⋌⩍⫖↰⪸1443=NaN","layer":3},{"info":"⫖↰⪸4556⫡⨏⫖↰⪸1949=⫖↰⪸22363","layer":3},{"info":"NaN⨎⫖↰⪸22363=⫖↰⪸22363","layer":2},{"info":"NaN⪨≂⫖↰⪸22363=NaN","layer":1},{"info":"⫖↰⪸4A25⋓⫖↰⪸1907=⫖↰⪸0","layer":3},{"info":"⫖↰⪸15BA⪄⫖↰⪸1B72=⫖↰⪸-16B521","layer":3},{"info":"⫖↰⪸0⪛⫖↰⪸-16B521=⫖↰⪸0","layer":2},{"info":"⫖↰⪸87B+⇶⊼⫖↰⪸1B4B=NaN","layer":3},{"info":"⫖↰⪸2147+⫖↰⪸935=⫖↰⪸2A80","layer":3},{"info":"NaN⪘⫢⫖↰⪸2A80=NaN","layer":2},{"info":"⫖↰⪸0⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"($3114$⨰$1957$⊉≛↸($1640$∲⫓$1088$))⪛(↔($1600$⨽$3190$))-(($6977$⫡⨏$2051$)⨎($1844$⫩⊇))≎⊠⪸($2430$+$2440$)⪮%⊝($5172$⫩⊇)","expression":"(⫖↰⪸1976⨰⫖↰⪸1171⊉≛↸(⫖↰⪸B48∲⫓⫖↰⪸768))⪛(↔(⫖↰⪸B14⨽⫖↰⪸1A1A))-((⫖↰⪸4055⫡⨏⫖↰⪸122B)⨎(⫖↰⪸1098⫩⊇))≎⊠⪸(⫖↰⪸14A6+⫖↰⪸14B4)⪮%⊝(⫖↰⪸2BB0⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1955,"operation_count":14,"complexity_ratio":139.64285714285714,"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":3114,"base":12},"right_expr":{"type":"numeric_atoms","value":1957,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1640,"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":1600,"base":12},"right_expr":{"type":"numeric_atoms","value":3190,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6977,"base":12},"right_expr":{"type":"numeric_atoms","value":2051,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1844,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2430,"base":12},"right_expr":{"type":"numeric_atoms","value":2440,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5172,"base":12}}}}},"used_operators":["rysDP5nf3Z","uFcxV4UQCh","DZ8iAZOCBD","eewbuw0ToL","i8ToyICDmI","ruOEQAzv1W","8HhzD0ZcuI","bJkvcejdHO","rJVOvQCfKK","QMFrweE19q","BjRHVeLaeN","IWmyXbctLI","W4YGzv6Whe"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-1A6178","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3114","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=1957, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1167","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=1088, 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=1167, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2334","layer":2},{"info":"number node, value=1600","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=3190, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7688256","layer":3},{"info":"compute unary expreesion, input=-7688256, 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=2334, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-78","layer":1},{"info":"number node, value=6977","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=6977, right_input=2051, 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=39770","layer":3},{"info":"number node, value=1844","layer":4},{"info":"compute unary expreesion, input=1844, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1802","layer":3},{"info":"compute binary expreesion, left_input=39770, right_input=-1802, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1802","layer":2},{"info":"number node, value=2430","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=2440, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4870","layer":3},{"info":"number node, value=5172","layer":4},{"info":"compute unary expreesion, input=5172, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5130","layer":3},{"info":"compute binary expreesion, left_input=4870, right_input=-5130, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10056","layer":2},{"info":"compute binary expreesion, left_input=-1802, right_input=10056, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=466718","layer":1},{"info":"compute binary expreesion, left_input=-78, right_input=466718, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-466796","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1976⨰⫖↰⪸1171⊉≛↸(⫖↰⪸B48∲⫓⫖↰⪸768))⪛(↔(⫖↰⪸B14⨽⫖↰⪸1A1A))-((⫖↰⪸4055⫡⨏⫖↰⪸122B)⨎(⫖↰⪸1098⫩⊇))≎⊠⪸(⫖↰⪸14A6+⫖↰⪸14B4)⪮%⊝(⫖↰⪸2BB0⫩⊇)=⫖↰⪸-1A6178","reverse_text":"⫖↰⪸-1A6178=(⫖↰⪸1976⨰⫖↰⪸1171⊉≛↸(⫖↰⪸B48∲⫓⫖↰⪸768))⪛(↔(⫖↰⪸B14⨽⫖↰⪸1A1A))-((⫖↰⪸4055⫡⨏⫖↰⪸122B)⨎(⫖↰⪸1098⫩⊇))≎⊠⪸(⫖↰⪸14A6+⫖↰⪸14B4)⪮%⊝(⫖↰⪸2BB0⫩⊇)","cot":[{"info":"⫖↰⪸1976⨰⫖↰⪸1171=⫖↰⪸813","layer":3},{"info":"⫖↰⪸B48∲⫓⫖↰⪸768=⫖↰⪸0","layer":3},{"info":"⫖↰⪸813⊉≛↸⫖↰⪸0=⫖↰⪸1426","layer":2},{"info":"⫖↰⪸B14⨽⫖↰⪸1A1A=⫖↰⪸-26A9280","layer":3},{"info":"↔⫖↰⪸-26A9280=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸1426⪛⫖↰⪸-B2=⫖↰⪸-66","layer":1},{"info":"⫖↰⪸4055⫡⨏⫖↰⪸122B=⫖↰⪸1B022","layer":3},{"info":"⫖↰⪸1098⫩⊇=⫖↰⪸-1062","layer":3},{"info":"⫖↰⪸1B022⨎⫖↰⪸-1062=⫖↰⪸-1062","layer":2},{"info":"⫖↰⪸14A6+⫖↰⪸14B4=⫖↰⪸299A","layer":3},{"info":"⫖↰⪸2BB0⫩⊇=⫖↰⪸-2B76","layer":3},{"info":"⫖↰⪸299A⪮%⊝⫖↰⪸-2B76=⫖↰⪸59A0","layer":2},{"info":"⫖↰⪸-1062≎⊠⪸⫖↰⪸59A0=⫖↰⪸1A6112","layer":1},{"info":"⫖↰⪸-66-⫖↰⪸1A6112=⫖↰⪸-1A6178","layer":0}]}
{"id":312,"expression_no_base_symbol":"($1044$⫥∨⫟$2611$%$3275$⊭↱$2789$)↬(⪲⇎$4889$)↬($6623$∸)⪨≂(($3944$∀⇚≩$5440$⫌⩹⨱)/(($6934$-$1565$)⨁⊸⫻))","expression":"(⫖↰⪸730⫥∨⫟⫖↰⪸1617%⫖↰⪸1A8B⊭↱⫖↰⪸1745)↬(⪲⇎⫖↰⪸29B5)↬(⫖↰⪸39BB∸)⪨≂((⫖↰⪸2348∀⇚≩⫖↰⪸3194⫌⩹⨱)/((⫖↰⪸401A-⫖↰⪸AA5)⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27965,"operation_count":13,"complexity_ratio":2151.153846153846,"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":1044,"base":12},"right_expr":{"type":"numeric_atoms","value":2611,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3275,"base":12},"right_expr":{"type":"numeric_atoms","value":2789,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4889,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6623,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3944,"base":12},"right_expr":{"type":"numeric_atoms","value":5440,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6934,"base":12},"right_expr":{"type":"numeric_atoms","value":1565,"base":12}}}}},"used_operators":["sdazOOVcIp","B5M0gjZbta","k8jYdgA6NY","KYD54nUTWz","COABgblf1C","XPYlsWDdGa","o20kRiQErp","XhwjNDsVaA","EBcxylXtPf","LRNGc0VcxI","glklzrTFfD","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2611, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=2789, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-967","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-967, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4889","layer":4},{"info":"compute unary expreesion, input=4889, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9778","layer":3},{"info":"number node, value=6623","layer":4},{"info":"compute unary expreesion, input=6623, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=9778, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3944","layer":4},{"info":"number node, value=5440","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=5440, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=6934","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=6934, right_input=1565, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5369","layer":3},{"info":"compute unary expreesion, input=5369, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5369","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5369, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸730⫥∨⫟⫖↰⪸1617%⫖↰⪸1A8B⊭↱⫖↰⪸1745)↬(⪲⇎⫖↰⪸29B5)↬(⫖↰⪸39BB∸)⪨≂((⫖↰⪸2348∀⇚≩⫖↰⪸3194⫌⩹⨱)/((⫖↰⪸401A-⫖↰⪸AA5)⨁⊸⫻))=NaN","reverse_text":"NaN=(⫖↰⪸730⫥∨⫟⫖↰⪸1617%⫖↰⪸1A8B⊭↱⫖↰⪸1745)↬(⪲⇎⫖↰⪸29B5)↬(⫖↰⪸39BB∸)⪨≂((⫖↰⪸2348∀⇚≩⫖↰⪸3194⫌⩹⨱)/((⫖↰⪸401A-⫖↰⪸AA5)⨁⊸⫻))","cot":[{"info":"⫖↰⪸730⫥∨⫟⫖↰⪸1617=NaN","layer":3},{"info":"⫖↰⪸1A8B⊭↱⫖↰⪸1745=⫖↰⪸-687","layer":3},{"info":"NaN%⫖↰⪸-687=NaN","layer":2},{"info":"⪲⇎⫖↰⪸29B5=⫖↰⪸57AA","layer":3},{"info":"⫖↰⪸39BB∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸57AA↬⫖↰⪸129=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫖↰⪸2348∀⇚≩⫖↰⪸3194=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⫖↰⪸401A-⫖↰⪸AA5=⫖↰⪸3135","layer":3},{"info":"⫖↰⪸3135⨁⊸⫻=⫖↰⪸3135","layer":2},{"info":"NaN/⫖↰⪸3135=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"(∂(($1839$≭$4542$)∸))≭((-$5537$)*$5183$⩷∴$6907$)⊴(($1335$⪄$1716$)⨽$1075$⪮%⊝$6445$)","expression":"(∂((⫖↰⪸1093≭⫖↰⪸2766)∸))≭((-⫖↰⪸3255)*⫖↰⪸2BBB⩷∴⫖↰⪸3BB7)⊴((⫖↰⪸933⪄⫖↰⪸BB0)⨽⫖↰⪸757⪮%⊝⫖↰⪸3891)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":204736,"operation_count":11,"complexity_ratio":18612.363636363636,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1839,"base":12},"right_expr":{"type":"numeric_atoms","value":4542,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5537,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5183,"base":12},"right_expr":{"type":"numeric_atoms","value":6907,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":1716,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1075,"base":12},"right_expr":{"type":"numeric_atoms","value":6445,"base":12}}}}},"used_operators":["rxpJgHHUmx","Uaa54Peajs","o20kRiQErp","Nsiff2A1zJ","9HNa5Wba9A","t8gj7n24qd","9FxExcQeMw","8HhzD0ZcuI","SUmda5xLS4","IWmyXbctLI"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1839","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=4542, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-441","layer":1},{"info":"number node, value=5537","layer":4},{"info":"compute unary expreesion, input=5537, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5537","layer":3},{"info":"number node, value=5183","layer":4},{"info":"number node, value=6907","layer":4},{"info":"compute binary expreesion, left_input=5183, right_input=6907, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3480","layer":3},{"info":"compute binary expreesion, left_input=-5537, right_input=-3480, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=19268760","layer":2},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1716, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-200533","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=6445","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=6445, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2466","layer":3},{"info":"compute binary expreesion, left_input=-200533, right_input=2466, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=19268760, right_input=-inf, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-441, 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":"(∂((⫖↰⪸1093≭⫖↰⪸2766)∸))≭((-⫖↰⪸3255)*⫖↰⪸2BBB⩷∴⫖↰⪸3BB7)⊴((⫖↰⪸933⪄⫖↰⪸BB0)⨽⫖↰⪸757⪮%⊝⫖↰⪸3891)=NaN","reverse_text":"NaN=(∂((⫖↰⪸1093≭⫖↰⪸2766)∸))≭((-⫖↰⪸3255)*⫖↰⪸2BBB⩷∴⫖↰⪸3BB7)⊴((⫖↰⪸933⪄⫖↰⪸BB0)⨽⫖↰⪸757⪮%⊝⫖↰⪸3891)","cot":[{"info":"⫖↰⪸1093≭⫖↰⪸2766=NaN","layer":3},{"info":"NaN∸=⫖↰⪸129","layer":2},{"info":"∂⫖↰⪸129=⫖↰⪸-309","layer":1},{"info":"-⫖↰⪸3255=⫖↰⪸-3255","layer":3},{"info":"⫖↰⪸2BBB⩷∴⫖↰⪸3BB7=⫖↰⪸-2020","layer":3},{"info":"⫖↰⪸-3255*⫖↰⪸-2020=⫖↰⪸6552AA0","layer":2},{"info":"⫖↰⪸933⪄⫖↰⪸BB0=⫖↰⪸-98071","layer":3},{"info":"⫖↰⪸757⪮%⊝⫖↰⪸3891=⫖↰⪸1516","layer":3},{"info":"⫖↰⪸-98071⨽⫖↰⪸1516=-Inf","layer":2},{"info":"⫖↰⪸6552AA0⊴-Inf=NaN","layer":1},{"info":"⫖↰⪸-309≭NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"($6672$⨳⩥⨓$3966$-($2389$⩠))⪮%⊝($6339$⨐⩸⫘$6471$⨳⩥⨓$1011$⨐⩸⫘$2037$)⨐⩸⫘(⨑⩽⪐($4897$⊉≛↸$1094$)⩚⊴⇥$6197$⋓$1472$)","expression":"(⫖↰⪸3A40⨳⩥⨓⫖↰⪸2366-(⫖↰⪸1471⩠))⪮%⊝(⫖↰⪸3803⨐⩸⫘⫖↰⪸38B3⨳⩥⨓⫖↰⪸703⨐⩸⫘⫖↰⪸1219)⨐⩸⫘(⨑⩽⪐(⫖↰⪸2A01⊉≛↸⫖↰⪸772)⩚⊴⇥⫖↰⪸3705⋓⫖↰⪸A28)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62,"operation_count":12,"complexity_ratio":5.166666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6672,"base":12},"right_expr":{"type":"numeric_atoms","value":3966,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2389,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6339,"base":12},"right_expr":{"type":"numeric_atoms","value":6471,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1011,"base":12},"right_expr":{"type":"numeric_atoms","value":2037,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4897,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6197,"base":12},"right_expr":{"type":"numeric_atoms","value":1472,"base":12}}}}},"used_operators":["fu6greOZ01","IWmyXbctLI","rysDP5nf3Z","nCS4ZIUYfx","sJAwomhLZr","AF7qkfDlqP","NTOWxs364D","DZ8iAZOCBD","T2fj7uvVaJ"],"dependent_operators":["3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","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=6672","layer":4},{"info":"number node, value=3966","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=3966, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2706","layer":3},{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2706, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2706","layer":2},{"info":"number node, value=6339","layer":4},{"info":"number node, value=6471","layer":4},{"info":"compute binary expreesion, left_input=6339, right_input=6471, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1011","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=2037, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2706, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=4897","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4897, right_input=1094, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9794","layer":3},{"info":"number node, value=6197","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=6197, right_input=1472, 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=9794, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9915","layer":2},{"info":"compute unary expreesion, input=-9915, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=20619","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20619, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"(⫖↰⪸3A40⨳⩥⨓⫖↰⪸2366-(⫖↰⪸1471⩠))⪮%⊝(⫖↰⪸3803⨐⩸⫘⫖↰⪸38B3⨳⩥⨓⫖↰⪸703⨐⩸⫘⫖↰⪸1219)⨐⩸⫘(⨑⩽⪐(⫖↰⪸2A01⊉≛↸⫖↰⪸772)⩚⊴⇥⫖↰⪸3705⋓⫖↰⪸A28)=NaN","reverse_text":"NaN=(⫖↰⪸3A40⨳⩥⨓⫖↰⪸2366-(⫖↰⪸1471⩠))⪮%⊝(⫖↰⪸3803⨐⩸⫘⫖↰⪸38B3⨳⩥⨓⫖↰⪸703⨐⩸⫘⫖↰⪸1219)⨐⩸⫘(⨑⩽⪐(⫖↰⪸2A01⊉≛↸⫖↰⪸772)⩚⊴⇥⫖↰⪸3705⋓⫖↰⪸A28)","cot":[{"info":"⫖↰⪸3A40⨳⩥⨓⫖↰⪸2366=⫖↰⪸-1696","layer":3},{"info":"⫖↰⪸1471⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1696-⫖↰⪸0=⫖↰⪸-1696","layer":2},{"info":"⫖↰⪸3803⨐⩸⫘⫖↰⪸38B3=NaN","layer":3},{"info":"⫖↰⪸703⨐⩸⫘⫖↰⪸1219=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⫖↰⪸-1696⪮%⊝NaN=NaN","layer":1},{"info":"⫖↰⪸2A01⊉≛↸⫖↰⪸772=⫖↰⪸5802","layer":3},{"info":"⫖↰⪸3705⋓⫖↰⪸A28=⫖↰⪸0","layer":3},{"info":"⫖↰⪸5802⩚⊴⇥⫖↰⪸0=⫖↰⪸-58A3","layer":2},{"info":"⨑⩽⪐⫖↰⪸-58A3=⫖↰⪸BB23","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸BB23=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"(($6230$⪢$2597$⪄$3743$⨳⩥⨓$1485$)⪐)%$7727$⨪↰⇹$4407$≎⊠⪸$2097$⇷$3341$⨎(⨑⩽⪐$2517$)⪛$2651$⪮%⊝$1924$","expression":"((⫖↰⪸3732⪢⫖↰⪸1605⪄⫖↰⪸21BB⨳⩥⨓⫖↰⪸A39)⪐)%⫖↰⪸457B⨪↰⇹⫖↰⪸2673≎⊠⪸⫖↰⪸1269⇷⫖↰⪸1B25⨎(⨑⩽⪐⫖↰⪸1559)⪛⫖↰⪸164B⪮%⊝⫖↰⪸1144","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40454,"operation_count":12,"complexity_ratio":3371.1666666666665,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6230,"base":12},"right_expr":{"type":"numeric_atoms","value":2597,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3743,"base":12},"right_expr":{"type":"numeric_atoms","value":1485,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7727,"base":12},"right_expr":{"type":"numeric_atoms","value":4407,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2097,"base":12},"right_expr":{"type":"numeric_atoms","value":3341,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2517,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2651,"base":12},"right_expr":{"type":"numeric_atoms","value":1924,"base":12}}}}},"used_operators":["k8jYdgA6NY","eH2TOUuTDT","SUmda5xLS4","dWAJyo7jo9","nCS4ZIUYfx","rJVOvQCfKK","bJkvcejdHO","tmPS8pqC7x","mp7IySMOzn","uFcxV4UQCh","AF7qkfDlqP","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸84A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6230","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=6230, right_input=2597, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=3743","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=3743, right_input=1485, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2258","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2258, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7958","layer":1},{"info":"number node, value=7727","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=7727, right_input=4407, 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=7727","layer":3},{"info":"number node, value=2097","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=3341, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6682","layer":3},{"info":"compute binary expreesion, left_input=7727, right_input=6682, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2000820","layer":2},{"info":"number node, value=2517","layer":4},{"info":"compute unary expreesion, input=2517, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2244","layer":3},{"info":"number node, value=2651","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=1924, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5618","layer":3},{"info":"compute binary expreesion, left_input=-2244, right_input=5618, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3374","layer":2},{"info":"compute binary expreesion, left_input=2000820, right_input=3374, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3374","layer":1},{"info":"compute binary expreesion, left_input=7958, right_input=3374, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1210","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3732⪢⫖↰⪸1605⪄⫖↰⪸21BB⨳⩥⨓⫖↰⪸A39)⪐)%⫖↰⪸457B⨪↰⇹⫖↰⪸2673≎⊠⪸⫖↰⪸1269⇷⫖↰⪸1B25⨎(⨑⩽⪐⫖↰⪸1559)⪛⫖↰⪸164B⪮%⊝⫖↰⪸1144=⫖↰⪸84A","reverse_text":"⫖↰⪸84A=((⫖↰⪸3732⪢⫖↰⪸1605⪄⫖↰⪸21BB⨳⩥⨓⫖↰⪸A39)⪐)%⫖↰⪸457B⨪↰⇹⫖↰⪸2673≎⊠⪸⫖↰⪸1269⇷⫖↰⪸1B25⨎(⨑⩽⪐⫖↰⪸1559)⪛⫖↰⪸164B⪮%⊝⫖↰⪸1144","cot":[{"info":"⫖↰⪸3732⪢⫖↰⪸1605=NaN","layer":3},{"info":"⫖↰⪸21BB⨳⩥⨓⫖↰⪸A39=⫖↰⪸-1382","layer":3},{"info":"NaN⪄⫖↰⪸-1382=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸2377⪐=⫖↰⪸4732","layer":1},{"info":"⫖↰⪸457B⨪↰⇹⫖↰⪸2673=⫖↰⪸457B","layer":3},{"info":"⫖↰⪸1269⇷⫖↰⪸1B25=⫖↰⪸3A4A","layer":3},{"info":"⫖↰⪸457B≎⊠⪸⫖↰⪸3A4A=⫖↰⪸805A70","layer":2},{"info":"⨑⩽⪐⫖↰⪸1559=⫖↰⪸-1370","layer":3},{"info":"⫖↰⪸164B⪮%⊝⫖↰⪸1144=⫖↰⪸3302","layer":3},{"info":"⫖↰⪸-1370⪛⫖↰⪸3302=⫖↰⪸1B52","layer":2},{"info":"⫖↰⪸805A70⨎⫖↰⪸1B52=⫖↰⪸1B52","layer":1},{"info":"⫖↰⪸4732%⫖↰⪸1B52=⫖↰⪸84A","layer":0}]}
{"id":316,"expression_no_base_symbol":"(⇁⨣⪵(+⊝⨔(↔$1597$)))↬(($1954$⩚⊴⇥$1309$⨳⩥⨓$3828$⫥∨⫟$1463$)+⇶⊼(($1042$⋷$6083$)⊠≄⫣))","expression":"(⇁⨣⪵(+⊝⨔(↔⫖↰⪸B11)))↬((⫖↰⪸116A⩚⊴⇥⫖↰⪸911⨳⩥⨓⫖↰⪸2270⫥∨⫟⫖↰⪸A1B)+⇶⊼((⫖↰⪸72A⋷⫖↰⪸362B)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":196,"operation_count":10,"complexity_ratio":19.6,"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":1597,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1954,"base":12},"right_expr":{"type":"numeric_atoms","value":1309,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3828,"base":12},"right_expr":{"type":"numeric_atoms","value":1463,"base":12}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1042,"base":12},"right_expr":{"type":"numeric_atoms","value":6083,"base":12}}}}},"used_operators":["B5M0gjZbta","inkyxCbjAn","DhbWaqg5eL","ruOEQAzv1W","TpPTUOHfaN","nCS4ZIUYfx","NTOWxs364D","KYD54nUTWz","DIvbN7qnHd","23Mk6UjR3U"],"dependent_operators":["rGHVDoGpnC","B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1324","layer":3},{"info":"compute unary expreesion, input=-1324, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1954","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=1309, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3384","layer":3},{"info":"number node, value=3828","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=1463, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3384, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=6083","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=6083, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11124","layer":3},{"info":"compute unary expreesion, input=11124, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":"compute binary expreesion, left_input=nan, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(+⊝⨔(↔⫖↰⪸B11)))↬((⫖↰⪸116A⩚⊴⇥⫖↰⪸911⨳⩥⨓⫖↰⪸2270⫥∨⫟⫖↰⪸A1B)+⇶⊼((⫖↰⪸72A⋷⫖↰⪸362B)⊠≄⫣))=NaN","reverse_text":"NaN=(⇁⨣⪵(+⊝⨔(↔⫖↰⪸B11)))↬((⫖↰⪸116A⩚⊴⇥⫖↰⪸911⨳⩥⨓⫖↰⪸2270⫥∨⫟⫖↰⪸A1B)+⇶⊼((⫖↰⪸72A⋷⫖↰⪸362B)⊠≄⫣))","cot":[{"info":"↔⫖↰⪸B11=⫖↰⪸-924","layer":3},{"info":"+⊝⨔⫖↰⪸-924=⫖↰⪸A6A","layer":2},{"info":"⇁⨣⪵⫖↰⪸A6A=NaN","layer":1},{"info":"⫖↰⪸116A⩚⊴⇥⫖↰⪸911=⫖↰⪸-1B60","layer":3},{"info":"⫖↰⪸2270⫥∨⫟⫖↰⪸A1B=NaN","layer":3},{"info":"⫖↰⪸-1B60⨳⩥⨓NaN=NaN","layer":2},{"info":"⫖↰⪸72A⋷⫖↰⪸362B=⫖↰⪸6530","layer":3},{"info":"⫖↰⪸6530⊠≄⫣=⫖↰⪸0","layer":2},{"info":"NaN+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN↬⫖↰⪸0=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"($3988$⨟⋌⩍$2444$∑⇟⊟$2608$⨪↰⇹$3214$⊭↱((∥⊫$7832$)⊭↱$1916$∀⇚≩$1359$))⨁⊸⫻","expression":"(⫖↰⪸2384⨟⋌⩍⫖↰⪸14B8∑⇟⊟⫖↰⪸1614⨪↰⇹⫖↰⪸1A3A⊭↱((∥⊫⫖↰⪸4648)⊭↱⫖↰⪸1138∀⇚≩⫖↰⪸953))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16039,"operation_count":8,"complexity_ratio":2004.875,"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":3988,"base":12},"right_expr":{"type":"numeric_atoms","value":2444,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2608,"base":12},"right_expr":{"type":"numeric_atoms","value":3214,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7832,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1916,"base":12},"right_expr":{"type":"numeric_atoms","value":1359,"base":12}}}}},"used_operators":["glklzrTFfD","COABgblf1C","U7g4x0WXJJ","rGHVDoGpnC","tmPS8pqC7x","P8v4zCKN1o","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3988","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=2444, 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=2608","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=3214, 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=2608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2608, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7832","layer":4},{"info":"compute unary expreesion, input=7832, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8700","layer":3},{"info":"number node, value=1916","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=1359, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8700, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2384⨟⋌⩍⫖↰⪸14B8∑⇟⊟⫖↰⪸1614⨪↰⇹⫖↰⪸1A3A⊭↱((∥⊫⫖↰⪸4648)⊭↱⫖↰⪸1138∀⇚≩⫖↰⪸953))⨁⊸⫻=NaN","reverse_text":"NaN=(⫖↰⪸2384⨟⋌⩍⫖↰⪸14B8∑⇟⊟⫖↰⪸1614⨪↰⇹⫖↰⪸1A3A⊭↱((∥⊫⫖↰⪸4648)⊭↱⫖↰⪸1138∀⇚≩⫖↰⪸953))⨁⊸⫻","cot":[{"info":"⫖↰⪸2384⨟⋌⩍⫖↰⪸14B8=NaN","layer":3},{"info":"⫖↰⪸1614⨪↰⇹⫖↰⪸1A3A=⫖↰⪸1614","layer":3},{"info":"NaN∑⇟⊟⫖↰⪸1614=NaN","layer":2},{"info":"∥⊫⫖↰⪸4648=⫖↰⪸5050","layer":3},{"info":"⫖↰⪸1138∀⇚≩⫖↰⪸953=NaN","layer":3},{"info":"⫖↰⪸5050⊭↱NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"(($1058$⊭↱$3108$)↺($6702$⨵⪆$3059$)∲⫓(⨑⩽⪐$4426$)⊴($1758$⊭↱$1660$))≫≃","expression":"((⫖↰⪸742⊭↱⫖↰⪸1970)↺(⫖↰⪸3A66⨵⪆⫖↰⪸192B)∲⫓(⨑⩽⪐⫖↰⪸268A)⊴(⫖↰⪸1026⊭↱⫖↰⪸B64))≫≃","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7672,"operation_count":8,"complexity_ratio":959.0,"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":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":3108,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6702,"base":12},"right_expr":{"type":"numeric_atoms","value":3059,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4426,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1758,"base":12},"right_expr":{"type":"numeric_atoms","value":1660,"base":12}}}}},"used_operators":["X99M06cbEe","i8ToyICDmI","7j4O788W3g","COABgblf1C","2DQ55sFlQl","Nsiff2A1zJ","AF7qkfDlqP"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=3108, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4105","layer":3},{"info":"number node, value=6702","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=6702, right_input=3059, 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=4105, right_input=160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":2},{"info":"number node, value=4426","layer":4},{"info":"compute unary expreesion, input=4426, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4153","layer":3},{"info":"number node, value=1758","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=1660, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-191","layer":3},{"info":"compute binary expreesion, left_input=-4153, right_input=-191, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸742⊭↱⫖↰⪸1970)↺(⫖↰⪸3A66⨵⪆⫖↰⪸192B)∲⫓(⨑⩽⪐⫖↰⪸268A)⊴(⫖↰⪸1026⊭↱⫖↰⪸B64))≫≃=NaN","reverse_text":"NaN=((⫖↰⪸742⊭↱⫖↰⪸1970)↺(⫖↰⪸3A66⨵⪆⫖↰⪸192B)∲⫓(⨑⩽⪐⫖↰⪸268A)⊴(⫖↰⪸1026⊭↱⫖↰⪸B64))≫≃","cot":[{"info":"⫖↰⪸742⊭↱⫖↰⪸1970=⫖↰⪸2461","layer":3},{"info":"⫖↰⪸3A66⨵⪆⫖↰⪸192B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2461↺⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⨑⩽⪐⫖↰⪸268A=⫖↰⪸-24A1","layer":3},{"info":"⫖↰⪸1026⊭↱⫖↰⪸B64=⫖↰⪸-13B","layer":3},{"info":"⫖↰⪸-24A1⊴⫖↰⪸-13B=NaN","layer":2},{"info":"⫖↰⪸114∲⫓NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"(($3105$⫡⨏$2116$⋷(⊙↵-$1368$))⊉≛↸($1383$↬$1970$⪨≂$1279$≎⊠⪸$3814$))⩷∴((($1025$%$1255$)⪄$4787$⋓$1914$)⪄(($5493$/$3566$)%$2915$*$1451$))","expression":"((⫖↰⪸1969⫡⨏⫖↰⪸1284⋷(⊙↵-⫖↰⪸960))⊉≛↸(⫖↰⪸973↬⫖↰⪸1182⪨≂⫖↰⪸8A7≎⊠⪸⫖↰⪸225A))⩷∴(((⫖↰⪸715%⫖↰⪸887)⪄⫖↰⪸292B⋓⫖↰⪸1136)⪄((⫖↰⪸3219/⫖↰⪸2092)%⫖↰⪸182B*⫖↰⪸A0B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3365,"operation_count":15,"complexity_ratio":224.33333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3105,"base":12},"right_expr":{"type":"numeric_atoms","value":2116,"base":12}},"right_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":1383,"base":12},"right_expr":{"type":"numeric_atoms","value":1970,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1279,"base":12},"right_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":1025,"base":12},"right_expr":{"type":"numeric_atoms","value":1255,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4787,"base":12},"right_expr":{"type":"numeric_atoms","value":1914,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5493,"base":12},"right_expr":{"type":"numeric_atoms","value":3566,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2915,"base":12},"right_expr":{"type":"numeric_atoms","value":1451,"base":12}}}}},"used_operators":["9FxExcQeMw","DZ8iAZOCBD","23Mk6UjR3U","QMFrweE19q","oWn0xqSxBt","sdazOOVcIp","B5M0gjZbta","bJkvcejdHO","SUmda5xLS4","k8jYdgA6NY","T2fj7uvVaJ","XhwjNDsVaA","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3105","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=3105, right_input=2116, 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=20540","layer":3},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=20540, right_input=-1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-20542","layer":2},{"info":"number node, value=1383","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=1970, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1279","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=3814, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=330788","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=330788, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20542, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1255, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1025","layer":3},{"info":"number node, value=4787","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=4787, right_input=1914, 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=1025, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-147789","layer":2},{"info":"number node, value=5493","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=5493, right_input=3566, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2915","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=1451, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4229665","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=4229665, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=-147789, right_input=1, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1969⫡⨏⫖↰⪸1284⋷(⊙↵-⫖↰⪸960))⊉≛↸(⫖↰⪸973↬⫖↰⪸1182⪨≂⫖↰⪸8A7≎⊠⪸⫖↰⪸225A))⩷∴(((⫖↰⪸715%⫖↰⪸887)⪄⫖↰⪸292B⋓⫖↰⪸1136)⪄((⫖↰⪸3219/⫖↰⪸2092)%⫖↰⪸182B*⫖↰⪸A0B))=NaN","reverse_text":"NaN=((⫖↰⪸1969⫡⨏⫖↰⪸1284⋷(⊙↵-⫖↰⪸960))⊉≛↸(⫖↰⪸973↬⫖↰⪸1182⪨≂⫖↰⪸8A7≎⊠⪸⫖↰⪸225A))⩷∴(((⫖↰⪸715%⫖↰⪸887)⪄⫖↰⪸292B⋓⫖↰⪸1136)⪄((⫖↰⪸3219/⫖↰⪸2092)%⫖↰⪸182B*⫖↰⪸A0B))","cot":[{"info":"⫖↰⪸1969⫡⨏⫖↰⪸1284=⫖↰⪸BA78","layer":3},{"info":"⊙↵-⫖↰⪸960=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸BA78⋷⫖↰⪸-1=⫖↰⪸-BA7A","layer":2},{"info":"⫖↰⪸973↬⫖↰⪸1182=NaN","layer":3},{"info":"⫖↰⪸8A7≎⊠⪸⫖↰⪸225A=⫖↰⪸13B518","layer":3},{"info":"NaN⪨≂⫖↰⪸13B518=NaN","layer":2},{"info":"⫖↰⪸-BA7A⊉≛↸NaN=NaN","layer":1},{"info":"⫖↰⪸715%⫖↰⪸887=⫖↰⪸715","layer":3},{"info":"⫖↰⪸292B⋓⫖↰⪸1136=⫖↰⪸0","layer":3},{"info":"⫖↰⪸715⪄⫖↰⪸0=⫖↰⪸-71639","layer":2},{"info":"⫖↰⪸3219/⫖↰⪸2092=⫖↰⪸1","layer":3},{"info":"⫖↰⪸182B*⫖↰⪸A0B=⫖↰⪸14BB881","layer":3},{"info":"⫖↰⪸1%⫖↰⪸14BB881=⫖↰⪸1","layer":2},{"info":"⫖↰⪸-71639⪄⫖↰⪸1=⫖↰⪸2377","layer":1},{"info":"NaN⩷∴⫖↰⪸2377=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"(($3671$*$1710$)⨰$1743$⪘⫢$5474$↙($1661$⪨≂$1176$)↬(⊥$2674$))⩠","expression":"((⫖↰⪸215B*⫖↰⪸BA6)⨰⫖↰⪸1013⪘⫢⫖↰⪸3202↙(⫖↰⪸B65⪨≂⫖↰⪸820)↬(⊥⫖↰⪸166A))⩠","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1760,"operation_count":8,"complexity_ratio":220.0,"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":3671,"base":12},"right_expr":{"type":"numeric_atoms","value":1710,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1743,"base":12},"right_expr":{"type":"numeric_atoms","value":5474,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1661,"base":12},"right_expr":{"type":"numeric_atoms","value":1176,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2674,"base":12}}}}},"used_operators":["sJAwomhLZr","yyfyN0ffXY","eewbuw0ToL","9HNa5Wba9A","oacrs7FA3X","B5M0gjZbta","sdazOOVcIp","Q3PJZHRvZv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3671","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=3671, right_input=1710, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6277410","layer":3},{"info":"number node, value=1743","layer":4},{"info":"number node, value=5474","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=5474, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3362","layer":3},{"info":"compute binary expreesion, left_input=6277410, right_input=3362, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6274058","layer":2},{"info":"number node, value=1661","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=1176, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1072","layer":3},{"info":"number node, value=2674","layer":4},{"info":"compute unary expreesion, input=2674, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1072, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6274058, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸215B*⫖↰⪸BA6)⨰⫖↰⪸1013⪘⫢⫖↰⪸3202↙(⫖↰⪸B65⪨≂⫖↰⪸820)↬(⊥⫖↰⪸166A))⩠=NaN","reverse_text":"NaN=((⫖↰⪸215B*⫖↰⪸BA6)⨰⫖↰⪸1013⪘⫢⫖↰⪸3202↙(⫖↰⪸B65⪨≂⫖↰⪸820)↬(⊥⫖↰⪸166A))⩠","cot":[{"info":"⫖↰⪸215B*⫖↰⪸BA6=⫖↰⪸2128916","layer":3},{"info":"⫖↰⪸1013⪘⫢⫖↰⪸3202=⫖↰⪸1B42","layer":3},{"info":"⫖↰⪸2128916⨰⫖↰⪸1B42=⫖↰⪸21269A2","layer":2},{"info":"⫖↰⪸B65⪨≂⫖↰⪸820=⫖↰⪸754","layer":3},{"info":"⊥⫖↰⪸166A=NaN","layer":3},{"info":"⫖↰⪸754↬NaN=NaN","layer":2},{"info":"⫖↰⪸21269A2↙NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"(↣≠⋷(∥⊫$2643$))⋳⪒((↥$4356$)⨸⪁$3879$⪢$1298$)⪨≂($3081$⨟⋌⩍$2534$-($1046$∧))⨳⩥⨓($4427$⇼⇔∾$2564$*$1063$∼$1577$)","expression":"(↣≠⋷(∥⊫⫖↰⪸1643))⋳⪒((↥⫖↰⪸2630)⨸⪁⫖↰⪸22B3⪢⫖↰⪸902)⪨≂(⫖↰⪸1949⨟⋌⩍⫖↰⪸1572-(⫖↰⪸732∧))⨳⩥⨓(⫖↰⪸268B⇼⇔∾⫖↰⪸1598*⫖↰⪸747∼⫖↰⪸AB5)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2002,"operation_count":14,"complexity_ratio":143.0,"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":2643,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4356,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3879,"base":12},"right_expr":{"type":"numeric_atoms","value":1298,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3081,"base":12},"right_expr":{"type":"numeric_atoms","value":2534,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1046,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4427,"base":12},"right_expr":{"type":"numeric_atoms","value":2564,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":1577,"base":12}}}}},"used_operators":["sdazOOVcIp","12rbrZMWeM","Asc51vEJeQ","P8v4zCKN1o","g55IO6H4Gj","A8NUZmVepG","dWAJyo7jo9","nCS4ZIUYfx","rysDP5nf3Z","rGHVDoGpnC","z63VuFQld9","9HNa5Wba9A","tifHPKVTfV","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3511","layer":3},{"info":"compute unary expreesion, input=3511, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=4356","layer":4},{"info":"compute unary expreesion, input=4356, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":3},{"info":"number node, value=3879","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=1298, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3081","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=2534, 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=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4427","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=2564, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1863","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1577, 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=-1863, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(↣≠⋷(∥⊫⫖↰⪸1643))⋳⪒((↥⫖↰⪸2630)⨸⪁⫖↰⪸22B3⪢⫖↰⪸902)⪨≂(⫖↰⪸1949⨟⋌⩍⫖↰⪸1572-(⫖↰⪸732∧))⨳⩥⨓(⫖↰⪸268B⇼⇔∾⫖↰⪸1598*⫖↰⪸747∼⫖↰⪸AB5)=NaN","reverse_text":"NaN=(↣≠⋷(∥⊫⫖↰⪸1643))⋳⪒((↥⫖↰⪸2630)⨸⪁⫖↰⪸22B3⪢⫖↰⪸902)⪨≂(⫖↰⪸1949⨟⋌⩍⫖↰⪸1572-(⫖↰⪸732∧))⨳⩥⨓(⫖↰⪸268B⇼⇔∾⫖↰⪸1598*⫖↰⪸747∼⫖↰⪸AB5)","cot":[{"info":"∥⊫⫖↰⪸1643=⫖↰⪸2047","layer":3},{"info":"↣≠⋷⫖↰⪸2047=NaN","layer":2},{"info":"↥⫖↰⪸2630=⫖↰⪸19","layer":3},{"info":"⫖↰⪸22B3⪢⫖↰⪸902=NaN","layer":3},{"info":"⫖↰⪸19⨸⪁NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸1949⨟⋌⩍⫖↰⪸1572=NaN","layer":3},{"info":"⫖↰⪸732∧=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"⫖↰⪸268B⇼⇔∾⫖↰⪸1598=⫖↰⪸-10B3","layer":3},{"info":"⫖↰⪸747∼⫖↰⪸AB5=NaN","layer":3},{"info":"⫖↰⪸-10B3*NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"(($3901$⨎$1166$-$3227$⇷$4025$)⊭↱$2823$⨽$8443$↺($5577$⪨≂$2346$))≫≃","expression":"((⫖↰⪸2311⨎⫖↰⪸812-⫖↰⪸1A4B⇷⫖↰⪸23B5)⊭↱⫖↰⪸1773⨽⫖↰⪸4A77↺(⫖↰⪸3289⪨≂⫖↰⪸1436))≫≃","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48038,"operation_count":8,"complexity_ratio":6004.75,"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":3901,"base":12},"right_expr":{"type":"numeric_atoms","value":1166,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3227,"base":12},"right_expr":{"type":"numeric_atoms","value":4025,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2823,"base":12},"right_expr":{"type":"numeric_atoms","value":8443,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5577,"base":12},"right_expr":{"type":"numeric_atoms","value":2346,"base":12}}}}},"used_operators":["X99M06cbEe","COABgblf1C","rysDP5nf3Z","rJVOvQCfKK","mp7IySMOzn","7j4O788W3g","8HhzD0ZcuI","sdazOOVcIp"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸27B43","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3901","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=1166, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1166","layer":3},{"info":"number node, value=3227","layer":4},{"info":"number node, value=4025","layer":4},{"info":"compute binary expreesion, left_input=3227, right_input=4025, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8050","layer":3},{"info":"compute binary expreesion, left_input=1166, right_input=8050, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6884","layer":2},{"info":"number node, value=2823","layer":4},{"info":"number node, value=8443","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=8443, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23932002","layer":3},{"info":"number node, value=5577","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=5577, right_input=2346, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6564","layer":3},{"info":"compute binary expreesion, left_input=-23932002, right_input=6564, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6564","layer":2},{"info":"compute binary expreesion, left_input=-6884, right_input=6564, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=26901","layer":1},{"info":"compute unary expreesion, input=26901, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=55203","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2311⨎⫖↰⪸812-⫖↰⪸1A4B⇷⫖↰⪸23B5)⊭↱⫖↰⪸1773⨽⫖↰⪸4A77↺(⫖↰⪸3289⪨≂⫖↰⪸1436))≫≃=⫖↰⪸27B43","reverse_text":"⫖↰⪸27B43=((⫖↰⪸2311⨎⫖↰⪸812-⫖↰⪸1A4B⇷⫖↰⪸23B5)⊭↱⫖↰⪸1773⨽⫖↰⪸4A77↺(⫖↰⪸3289⪨≂⫖↰⪸1436))≫≃","cot":[{"info":"⫖↰⪸2311⨎⫖↰⪸812=⫖↰⪸812","layer":3},{"info":"⫖↰⪸1A4B⇷⫖↰⪸23B5=⫖↰⪸47AA","layer":3},{"info":"⫖↰⪸812-⫖↰⪸47AA=⫖↰⪸-3B98","layer":2},{"info":"⫖↰⪸1773⨽⫖↰⪸4A77=⫖↰⪸-8021656","layer":3},{"info":"⫖↰⪸3289⪨≂⫖↰⪸1436=⫖↰⪸3970","layer":3},{"info":"⫖↰⪸-8021656↺⫖↰⪸3970=⫖↰⪸3970","layer":2},{"info":"⫖↰⪸-3B98⊭↱⫖↰⪸3970=⫖↰⪸13699","layer":1},{"info":"⫖↰⪸13699≫≃=⫖↰⪸27B43","layer":0}]}
{"id":323,"expression_no_base_symbol":"(∥⊫($2053$⊭↱$1083$))≭($2171$⊴$2073$≎⊠⪸(↽≂$3891$))↙(⨰⫟⨤((↩$3548$)↪⪝))","expression":"(∥⊫(⫖↰⪸1231⊭↱⫖↰⪸763))≭(⫖↰⪸130B⊴⫖↰⪸1249≎⊠⪸(↽≂⫖↰⪸2303))↙(⨰⫟⨤((↩⫖↰⪸2078)↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8280,"operation_count":10,"complexity_ratio":828.0,"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":2053,"base":12},"right_expr":{"type":"numeric_atoms","value":1083,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2171,"base":12},"right_expr":{"type":"numeric_atoms","value":2073,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3891,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3548,"base":12}}}}},"used_operators":["yyfyN0ffXY","rxpJgHHUmx","P8v4zCKN1o","COABgblf1C","bJkvcejdHO","Nsiff2A1zJ","u6S6b8DprG","Tw270M8GLb","l07mrZUIn9","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","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=2053","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=1083, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1935","layer":3},{"info":"compute unary expreesion, input=-1935, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=2171","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=2073, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3891","layer":4},{"info":"compute unary expreesion, input=3891, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7782","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7782, 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=-55, right_input=67, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25604","layer":3},{"info":"compute unary expreesion, input=-25604, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-1566503928","layer":2},{"info":"compute unary expreesion, input=-1566503928, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∥⊫(⫖↰⪸1231⊭↱⫖↰⪸763))≭(⫖↰⪸130B⊴⫖↰⪸1249≎⊠⪸(↽≂⫖↰⪸2303))↙(⨰⫟⨤((↩⫖↰⪸2078)↪⪝))=NaN","reverse_text":"NaN=(∥⊫(⫖↰⪸1231⊭↱⫖↰⪸763))≭(⫖↰⪸130B⊴⫖↰⪸1249≎⊠⪸(↽≂⫖↰⪸2303))↙(⨰⫟⨤((↩⫖↰⪸2078)↪⪝))","cot":[{"info":"⫖↰⪸1231⊭↱⫖↰⪸763=⫖↰⪸-1153","layer":3},{"info":"∥⊫⫖↰⪸-1153=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸130B⊴⫖↰⪸1249=NaN","layer":3},{"info":"↽≂⫖↰⪸2303=⫖↰⪸-4606","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸-4606=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-47≭⫖↰⪸57=NaN","layer":1},{"info":"↩⫖↰⪸2078=⫖↰⪸-12998","layer":3},{"info":"⫖↰⪸-12998↪⪝=⫖↰⪸-378751760","layer":2},{"info":"⨰⫟⨤⫖↰⪸-378751760=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"+⊝⨔(($2486$↺$7283$⇼⇔∾($1834$+$1729$))∀⇚≩($2409$≦≮≮)⪘⫢(⫛⫱⨽$1565$))","expression":"+⊝⨔((⫖↰⪸1532↺⫖↰⪸426B⇼⇔∾(⫖↰⪸108A+⫖↰⪸1001))∀⇚≩(⫖↰⪸1489≦≮≮)⪘⫢(⫛⫱⨽⫖↰⪸AA5))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27499,"operation_count":8,"complexity_ratio":3437.375,"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":2486,"base":12},"right_expr":{"type":"numeric_atoms","value":7283,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1834,"base":12},"right_expr":{"type":"numeric_atoms","value":1729,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2409,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1565,"base":12}}}}},"used_operators":["DhbWaqg5eL","LRNGc0VcxI","tifHPKVTfV","7j4O788W3g","W4YGzv6Whe","oacrs7FA3X","D4vGDi5EA2","DlLNRPXxWL"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2486","layer":4},{"info":"number node, value=7283","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=7283, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7283","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=1729, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3563","layer":3},{"info":"compute binary expreesion, left_input=7283, right_input=3563, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3720","layer":2},{"info":"number node, value=2409","layer":4},{"info":"compute unary expreesion, input=2409, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7227","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7227, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-3720, right_input=-1, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"+⊝⨔((⫖↰⪸1532↺⫖↰⪸426B⇼⇔∾(⫖↰⪸108A+⫖↰⪸1001))∀⇚≩(⫖↰⪸1489≦≮≮)⪘⫢(⫛⫱⨽⫖↰⪸AA5))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔((⫖↰⪸1532↺⫖↰⪸426B⇼⇔∾(⫖↰⪸108A+⫖↰⪸1001))∀⇚≩(⫖↰⪸1489≦≮≮)⪘⫢(⫛⫱⨽⫖↰⪸AA5))","cot":[{"info":"⫖↰⪸1532↺⫖↰⪸426B=⫖↰⪸426B","layer":3},{"info":"⫖↰⪸108A+⫖↰⪸1001=⫖↰⪸208B","layer":3},{"info":"⫖↰⪸426B⇼⇔∾⫖↰⪸208B=⫖↰⪸-21A0","layer":2},{"info":"⫖↰⪸1489≦≮≮=⫖↰⪸-4223","layer":3},{"info":"⫛⫱⨽⫖↰⪸AA5=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-4223⪘⫢⫖↰⪸0=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-21A0∀⇚≩⫖↰⪸-1=NaN","layer":1},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":0}]}
{"id":325,"expression_no_base_symbol":"+⊝⨔(≦∁(($4565$↺$2406$)⋫))","expression":"+⊝⨔(≦∁((⫖↰⪸2785↺⫖↰⪸1486)⋫))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2449,"operation_count":4,"complexity_ratio":612.25,"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":4565,"base":12},"right_expr":{"type":"numeric_atoms","value":2406,"base":12}}}}},"used_operators":["DhbWaqg5eL","9ICcGScMcE","JL8yIekQnl","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4565","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=2406, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2406","layer":3},{"info":"compute unary expreesion, input=2406, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2406","layer":2},{"info":"compute unary expreesion, input=2406, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2406","layer":1},{"info":"compute unary expreesion, input=2406, 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":"+⊝⨔(≦∁((⫖↰⪸2785↺⫖↰⪸1486)⋫))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(≦∁((⫖↰⪸2785↺⫖↰⪸1486)⋫))","cot":[{"info":"⫖↰⪸2785↺⫖↰⪸1486=⫖↰⪸1486","layer":3},{"info":"⫖↰⪸1486⋫=⫖↰⪸1486","layer":2},{"info":"≦∁⫖↰⪸1486=⫖↰⪸1486","layer":1},{"info":"+⊝⨔⫖↰⪸1486=⫖↰⪸A6A","layer":0}]}
{"id":326,"expression_no_base_symbol":"(-$2200$∼$6155$)≧⫂∧((⨑⩽⪐$4243$)↪⪝)⫥∨⫟(⫛⫱⨽((⨵≀≌$3498$)≧⫂∧($4226$≧⫂∧$1650$)))","expression":"(-⫖↰⪸1334∼⫖↰⪸368B)≧⫂∧((⨑⩽⪐⫖↰⪸2557)↪⪝)⫥∨⫟(⫛⫱⨽((⨵≀≌⫖↰⪸2036)≧⫂∧(⫖↰⪸2542≧⫂∧⫖↰⪸B56)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2333,"operation_count":10,"complexity_ratio":233.3,"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":2200,"base":12},"right_expr":{"type":"numeric_atoms","value":6155,"base":12}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4243,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3498,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4226,"base":12},"right_expr":{"type":"numeric_atoms","value":1650,"base":12}}}}},"used_operators":["KYD54nUTWz","Ph9nP6C5qx","t8gj7n24qd","DyGG3AbaNP","l07mrZUIn9","AF7qkfDlqP","DlLNRPXxWL","srAu1WTS94"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2200","layer":4},{"info":"number node, value=6155","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=6155, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=4243","layer":4},{"info":"compute unary expreesion, input=4243, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3970","layer":3},{"info":"compute unary expreesion, input=-3970, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-242892540","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-242892540, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3498","layer":4},{"info":"compute unary expreesion, input=3498, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10494","layer":3},{"info":"number node, value=4226","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=4226, right_input=1650, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1177","layer":3},{"info":"compute binary expreesion, left_input=-10494, right_input=1177, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=704","layer":2},{"info":"compute unary expreesion, input=704, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(-⫖↰⪸1334∼⫖↰⪸368B)≧⫂∧((⨑⩽⪐⫖↰⪸2557)↪⪝)⫥∨⫟(⫛⫱⨽((⨵≀≌⫖↰⪸2036)≧⫂∧(⫖↰⪸2542≧⫂∧⫖↰⪸B56)))=NaN","reverse_text":"NaN=(-⫖↰⪸1334∼⫖↰⪸368B)≧⫂∧((⨑⩽⪐⫖↰⪸2557)↪⪝)⫥∨⫟(⫛⫱⨽((⨵≀≌⫖↰⪸2036)≧⫂∧(⫖↰⪸2542≧⫂∧⫖↰⪸B56)))","cot":[{"info":"⫖↰⪸1334∼⫖↰⪸368B=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⨑⩽⪐⫖↰⪸2557=⫖↰⪸-236A","layer":3},{"info":"⫖↰⪸-236A↪⪝=⫖↰⪸-69416990","layer":2},{"info":"NaN≧⫂∧⫖↰⪸-69416990=NaN","layer":1},{"info":"⨵≀≌⫖↰⪸2036=⫖↰⪸-60A6","layer":3},{"info":"⫖↰⪸2542≧⫂∧⫖↰⪸B56=⫖↰⪸821","layer":3},{"info":"⫖↰⪸-60A6≧⫂∧⫖↰⪸821=⫖↰⪸4A8","layer":2},{"info":"⫛⫱⨽⫖↰⪸4A8=⫖↰⪸0","layer":1},{"info":"NaN⫥∨⫟⫖↰⪸0=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"(⩦⩻⨪($1604$≦≮≮))⋓(($1832$≎⊠⪸$1139$)⨰$2202$↬$1622$)/((($2779$⫡⨏$3149$)≦≮≮)⊠≄⫣)","expression":"(⩦⩻⨪(⫖↰⪸B18≦≮≮))⋓((⫖↰⪸1088≎⊠⪸⫖↰⪸7AB)⨰⫖↰⪸1336↬⫖↰⪸B32)/(((⫖↰⪸1737⫡⨏⫖↰⪸19A5)≦≮≮)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":310,"operation_count":10,"complexity_ratio":31.0,"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":1604,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1832,"base":12},"right_expr":{"type":"numeric_atoms","value":1139,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2202,"base":12},"right_expr":{"type":"numeric_atoms","value":1622,"base":12}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2779,"base":12},"right_expr":{"type":"numeric_atoms","value":3149,"base":12}}}}},"used_operators":["XhwjNDsVaA","T2fj7uvVaJ","2td37pGCOC","D4vGDi5EA2","eewbuw0ToL","bJkvcejdHO","B5M0gjZbta","DIvbN7qnHd","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1604","layer":4},{"info":"compute unary expreesion, input=1604, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4812","layer":3},{"info":"compute unary expreesion, input=-4812, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4812","layer":2},{"info":"number node, value=1832","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=1139, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=474015","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=1622, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=474015, 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=-4812, 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=2779","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=3149, 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=20976","layer":3},{"info":"compute unary expreesion, input=20976, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-62928","layer":2},{"info":"compute unary expreesion, input=-62928, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪(⫖↰⪸B18≦≮≮))⋓((⫖↰⪸1088≎⊠⪸⫖↰⪸7AB)⨰⫖↰⪸1336↬⫖↰⪸B32)/(((⫖↰⪸1737⫡⨏⫖↰⪸19A5)≦≮≮)⊠≄⫣)=NaN","reverse_text":"NaN=(⩦⩻⨪(⫖↰⪸B18≦≮≮))⋓((⫖↰⪸1088≎⊠⪸⫖↰⪸7AB)⨰⫖↰⪸1336↬⫖↰⪸B32)/(((⫖↰⪸1737⫡⨏⫖↰⪸19A5)≦≮≮)⊠≄⫣)","cot":[{"info":"⫖↰⪸B18≦≮≮=⫖↰⪸-2950","layer":3},{"info":"⩦⩻⨪⫖↰⪸-2950=⫖↰⪸-2950","layer":2},{"info":"⫖↰⪸1088≎⊠⪸⫖↰⪸7AB=⫖↰⪸1AA393","layer":3},{"info":"⫖↰⪸1336↬⫖↰⪸B32=NaN","layer":3},{"info":"⫖↰⪸1AA393⨰NaN=NaN","layer":2},{"info":"⫖↰⪸-2950⋓NaN=NaN","layer":1},{"info":"⫖↰⪸1737⫡⨏⫖↰⪸19A5=⫖↰⪸10180","layer":3},{"info":"⫖↰⪸10180≦≮≮=⫖↰⪸-30500","layer":2},{"info":"⫖↰⪸-30500⊠≄⫣=⫖↰⪸0","layer":1},{"info":"NaN/⫖↰⪸0=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"(⨑⩽⪐((⨵≀≌$2265$)⫸⊐$4866$⨟⋌⩍$5495$))⨳⩥⨓(↥(↣≠⋷$2130$))≹⇙⪍(($2691$⊪)∑⇟⊟$3840$∼$3403$)","expression":"(⨑⩽⪐((⨵≀≌⫖↰⪸1389)⫸⊐⫖↰⪸2996⨟⋌⩍⫖↰⪸321B))⨳⩥⨓(↥(↣≠⋷⫖↰⪸1296))≹⇙⪍((⫖↰⪸1683⊪)∑⇟⊟⫖↰⪸2280∼⫖↰⪸1B77)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":131,"operation_count":11,"complexity_ratio":11.909090909090908,"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":2265,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4866,"base":12},"right_expr":{"type":"numeric_atoms","value":5495,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2130,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2691,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3840,"base":12},"right_expr":{"type":"numeric_atoms","value":3403,"base":12}}}}},"used_operators":["nCS4ZIUYfx","AF7qkfDlqP","mqXw5SEYmG","srAu1WTS94","rGHVDoGpnC","AHs5Up7iyr","A8NUZmVepG","Asc51vEJeQ","U7g4x0WXJJ","zVYPLywUTj","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Tcnh7f0tEr","dWAJyo7jo9","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2265","layer":4},{"info":"compute unary expreesion, input=2265, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6795","layer":3},{"info":"number node, value=4866","layer":4},{"info":"number node, value=5495","layer":4},{"info":"compute binary expreesion, left_input=4866, right_input=5495, 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=-6795, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-695","layer":1},{"info":"number node, value=2130","layer":4},{"info":"compute unary expreesion, input=2130, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, 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=3840","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=3840, right_input=3403, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-695, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐((⨵≀≌⫖↰⪸1389)⫸⊐⫖↰⪸2996⨟⋌⩍⫖↰⪸321B))⨳⩥⨓(↥(↣≠⋷⫖↰⪸1296))≹⇙⪍((⫖↰⪸1683⊪)∑⇟⊟⫖↰⪸2280∼⫖↰⪸1B77)=NaN","reverse_text":"NaN=(⨑⩽⪐((⨵≀≌⫖↰⪸1389)⫸⊐⫖↰⪸2996⨟⋌⩍⫖↰⪸321B))⨳⩥⨓(↥(↣≠⋷⫖↰⪸1296))≹⇙⪍((⫖↰⪸1683⊪)∑⇟⊟⫖↰⪸2280∼⫖↰⪸1B77)","cot":[{"info":"⨵≀≌⫖↰⪸1389=⫖↰⪸-3B23","layer":3},{"info":"⫖↰⪸2996⨟⋌⩍⫖↰⪸321B=NaN","layer":3},{"info":"⫖↰⪸-3B23⫸⊐NaN=⫖↰⪸688","layer":2},{"info":"⨑⩽⪐⫖↰⪸688=⫖↰⪸-49B","layer":1},{"info":"↣≠⋷⫖↰⪸1296=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⫖↰⪸1683⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2280∼⫖↰⪸1B77=NaN","layer":3},{"info":"⫖↰⪸0∑⇟⊟NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫖↰⪸-49B⨳⩥⨓NaN=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(⊄⩳↩$4215$⪮%⊝$3687$⪘⫢(⨑⩽⪐$1129$))≭(((⩦⩻⨪$3760$)⊉≛↸$1274$≧⫂∧$1409$)⪄($1615$≭$3889$⊭↱$4379$⪮%⊝$8575$))","expression":"(⊄⩳↩⫖↰⪸2533⪮%⊝⫖↰⪸2173⪘⫢(⨑⩽⪐⫖↰⪸7A1))≭(((⩦⩻⨪⫖↰⪸2214)⊉≛↸⫖↰⪸8A2≧⫂∧⫖↰⪸995)⪄(⫖↰⪸B27≭⫖↰⪸2301⊭↱⫖↰⪸264B⪮%⊝⫖↰⪸4B67))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":142,"operation_count":12,"complexity_ratio":11.833333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4215,"base":12},"right_expr":{"type":"numeric_atoms","value":3687,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1129,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3760,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1274,"base":12},"right_expr":{"type":"numeric_atoms","value":1409,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1615,"base":12},"right_expr":{"type":"numeric_atoms","value":3889,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4379,"base":12},"right_expr":{"type":"numeric_atoms","value":8575,"base":12}}}}},"used_operators":["rxpJgHHUmx","8w2t5hMYqp","oacrs7FA3X","IWmyXbctLI","AF7qkfDlqP","SUmda5xLS4","DZ8iAZOCBD","2td37pGCOC","Ph9nP6C5qx","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4215","layer":4},{"info":"number node, value=3687","layer":4},{"info":"compute binary expreesion, left_input=4215, right_input=3687, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8746","layer":3},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-856","layer":3},{"info":"compute binary expreesion, left_input=8746, right_input=-856, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":1},{"info":"number node, value=3760","layer":4},{"info":"compute unary expreesion, input=3760, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3760","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1409, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=936","layer":3},{"info":"compute binary expreesion, left_input=3760, right_input=936, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7520","layer":2},{"info":"number node, value=1615","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=3889, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4379","layer":4},{"info":"number node, value=8575","layer":4},{"info":"compute binary expreesion, left_input=4379, right_input=8575, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9074","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9074, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7520, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":"(⊄⩳↩⫖↰⪸2533⪮%⊝⫖↰⪸2173⪘⫢(⨑⩽⪐⫖↰⪸7A1))≭(((⩦⩻⨪⫖↰⪸2214)⊉≛↸⫖↰⪸8A2≧⫂∧⫖↰⪸995)⪄(⫖↰⪸B27≭⫖↰⪸2301⊭↱⫖↰⪸264B⪮%⊝⫖↰⪸4B67))=NaN","reverse_text":"NaN=(⊄⩳↩⫖↰⪸2533⪮%⊝⫖↰⪸2173⪘⫢(⨑⩽⪐⫖↰⪸7A1))≭(((⩦⩻⨪⫖↰⪸2214)⊉≛↸⫖↰⪸8A2≧⫂∧⫖↰⪸995)⪄(⫖↰⪸B27≭⫖↰⪸2301⊭↱⫖↰⪸264B⪮%⊝⫖↰⪸4B67))","cot":[{"info":"⫖↰⪸2533⪮%⊝⫖↰⪸2173=⫖↰⪸508A","layer":3},{"info":"⨑⩽⪐⫖↰⪸7A1=⫖↰⪸-5B4","layer":3},{"info":"⫖↰⪸508A⪘⫢⫖↰⪸-5B4=⫖↰⪸0","layer":2},{"info":"⊄⩳↩⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⩦⩻⨪⫖↰⪸2214=⫖↰⪸2214","layer":3},{"info":"⫖↰⪸8A2≧⫂∧⫖↰⪸995=⫖↰⪸660","layer":3},{"info":"⫖↰⪸2214⊉≛↸⫖↰⪸660=⫖↰⪸4428","layer":2},{"info":"⫖↰⪸B27≭⫖↰⪸2301=NaN","layer":3},{"info":"⫖↰⪸264B⪮%⊝⫖↰⪸4B67=⫖↰⪸5302","layer":3},{"info":"NaN⊭↱⫖↰⪸5302=NaN","layer":2},{"info":"⫖↰⪸4428⪄NaN=NaN","layer":1},{"info":"⫖↰⪸0≭NaN=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"⫛⫱⨽($6123$⨓$2613$⨳⩥⨓($7340$⩨$1338$)⪒(($4472$⫡⨏$5206$)⩠))","expression":"⫛⫱⨽(⫖↰⪸3663⨓⫖↰⪸1619⨳⩥⨓(⫖↰⪸42B8⩨⫖↰⪸936)⪒((⫖↰⪸2708⫡⨏⫖↰⪸301A)⩠))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4076,"operation_count":7,"complexity_ratio":582.2857142857143,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6123,"base":12},"right_expr":{"type":"numeric_atoms","value":2613,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7340,"base":12},"right_expr":{"type":"numeric_atoms","value":1338,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4472,"base":12},"right_expr":{"type":"numeric_atoms","value":5206,"base":12}}}}},"used_operators":["DlLNRPXxWL","f6k1SAg4EE","nCS4ZIUYfx","3ViojmjbAp","2DlMacCsIx","sJAwomhLZr","QMFrweE19q"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6123","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=2613, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2616","layer":3},{"info":"number node, value=7340","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=7340, right_input=1338, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2616, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2616","layer":2},{"info":"number node, value=4472","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=4472, right_input=5206, 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=33555","layer":3},{"info":"compute unary expreesion, input=33555, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2616, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2616","layer":1},{"info":"compute unary expreesion, input=-2616, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸3663⨓⫖↰⪸1619⨳⩥⨓(⫖↰⪸42B8⩨⫖↰⪸936)⪒((⫖↰⪸2708⫡⨏⫖↰⪸301A)⩠))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸3663⨓⫖↰⪸1619⨳⩥⨓(⫖↰⪸42B8⩨⫖↰⪸936)⪒((⫖↰⪸2708⫡⨏⫖↰⪸301A)⩠))","cot":[{"info":"⫖↰⪸3663⨓⫖↰⪸1619=⫖↰⪸-1620","layer":3},{"info":"⫖↰⪸42B8⩨⫖↰⪸936=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1620⨳⩥⨓⫖↰⪸0=⫖↰⪸1620","layer":2},{"info":"⫖↰⪸2708⫡⨏⫖↰⪸301A=⫖↰⪸17503","layer":3},{"info":"⫖↰⪸17503⩠=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1620⪒⫖↰⪸0=⫖↰⪸-1620","layer":1},{"info":"⫛⫱⨽⫖↰⪸-1620=⫖↰⪸0","layer":0}]}
{"id":331,"expression_no_base_symbol":"⨵≀≌((⨞⊢$1072$⨎$6304$)⋷(⪲⇎($1373$⨳⩥⨓$1626$)))","expression":"⨵≀≌((⨞⊢⫖↰⪸754⨎⫖↰⪸3794)⋷(⪲⇎(⫖↰⪸965⨳⩥⨓⫖↰⪸B36)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13,"operation_count":6,"complexity_ratio":2.1666666666666665,"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":1072,"base":12},"right_expr":{"type":"numeric_atoms","value":6304,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1373,"base":12},"right_expr":{"type":"numeric_atoms","value":1626,"base":12}}}}},"used_operators":["srAu1WTS94","23Mk6UjR3U","xUOZtlo3hN","rJVOvQCfKK","XPYlsWDdGa","nCS4ZIUYfx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-1A5B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"number node, value=6304","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=6304, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6304","layer":3},{"info":"compute unary expreesion, input=6304, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6478","layer":2},{"info":"number node, value=1373","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=1626, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=253","layer":3},{"info":"compute unary expreesion, input=253, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=506","layer":2},{"info":"compute binary expreesion, left_input=-6478, right_input=506, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12956","layer":1},{"info":"compute unary expreesion, input=12956, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-38868","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌((⨞⊢⫖↰⪸754⨎⫖↰⪸3794)⋷(⪲⇎(⫖↰⪸965⨳⩥⨓⫖↰⪸B36)))=⫖↰⪸-1A5B0","reverse_text":"⫖↰⪸-1A5B0=⨵≀≌((⨞⊢⫖↰⪸754⨎⫖↰⪸3794)⋷(⪲⇎(⫖↰⪸965⨳⩥⨓⫖↰⪸B36)))","cot":[{"info":"⫖↰⪸754⨎⫖↰⪸3794=⫖↰⪸3794","layer":3},{"info":"⨞⊢⫖↰⪸3794=⫖↰⪸-38BA","layer":2},{"info":"⫖↰⪸965⨳⩥⨓⫖↰⪸B36=⫖↰⪸191","layer":3},{"info":"⪲⇎⫖↰⪸191=⫖↰⪸362","layer":2},{"info":"⫖↰⪸-38BA⋷⫖↰⪸362=⫖↰⪸75B8","layer":1},{"info":"⨵≀≌⫖↰⪸75B8=⫖↰⪸-1A5B0","layer":0}]}
{"id":332,"expression_no_base_symbol":"($2637$≹⇙⪍$4239$⨁⊸⫻)⨪↰⇹($6439$⩚⊴⇥$1213$)⨪↰⇹($4953$%$1128$)⨎((+⊝⨔($2052$⪄$1017$))≦≮≮)","expression":"(⫖↰⪸1639≹⇙⪍⫖↰⪸2553⨁⊸⫻)⨪↰⇹(⫖↰⪸3887⩚⊴⇥⫖↰⪸851)⨪↰⇹(⫖↰⪸2A49%⫖↰⪸7A0)⨎((+⊝⨔(⫖↰⪸1230⪄⫖↰⪸709))≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7902,"operation_count":10,"complexity_ratio":790.2,"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":2637,"base":12},"right_expr":{"type":"numeric_atoms","value":4239,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6439,"base":12},"right_expr":{"type":"numeric_atoms","value":1213,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4953,"base":12},"right_expr":{"type":"numeric_atoms","value":1128,"base":12}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2052,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}}}}},"used_operators":["rJVOvQCfKK","tmPS8pqC7x","glklzrTFfD","AHs5Up7iyr","NTOWxs364D","k8jYdgA6NY","D4vGDi5EA2","DhbWaqg5eL","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-2786","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2637","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=4239, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=6439","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=6439, right_input=1213, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7773","layer":3},{"info":"number node, value=4953","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=4953, right_input=1128, op_id = k8jYdgA6NY binary_op_definition= 'None', output=441","layer":3},{"info":"compute binary expreesion, left_input=-7773, right_input=441, 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=7773","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7773, 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=2052","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=1017, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-303853","layer":3},{"info":"compute unary expreesion, input=-303853, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4566","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4566, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4566","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1639≹⇙⪍⫖↰⪸2553⨁⊸⫻)⨪↰⇹(⫖↰⪸3887⩚⊴⇥⫖↰⪸851)⨪↰⇹(⫖↰⪸2A49%⫖↰⪸7A0)⨎((+⊝⨔(⫖↰⪸1230⪄⫖↰⪸709))≦≮≮)=⫖↰⪸-2786","reverse_text":"⫖↰⪸-2786=(⫖↰⪸1639≹⇙⪍⫖↰⪸2553⨁⊸⫻)⨪↰⇹(⫖↰⪸3887⩚⊴⇥⫖↰⪸851)⨪↰⇹(⫖↰⪸2A49%⫖↰⪸7A0)⨎((+⊝⨔(⫖↰⪸1230⪄⫖↰⪸709))≦≮≮)","cot":[{"info":"⫖↰⪸1639≹⇙⪍⫖↰⪸2553=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⫖↰⪸3887⩚⊴⇥⫖↰⪸851=⫖↰⪸-45B9","layer":3},{"info":"⫖↰⪸2A49%⫖↰⪸7A0=⫖↰⪸309","layer":3},{"info":"⫖↰⪸-45B9⨪↰⇹⫖↰⪸309=⫖↰⪸45B9","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸45B9=NaN","layer":1},{"info":"⫖↰⪸1230⪄⫖↰⪸709=⫖↰⪸-127A11","layer":3},{"info":"+⊝⨔⫖↰⪸-127A11=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸A6A≦≮≮=⫖↰⪸-2786","layer":1},{"info":"NaN⨎⫖↰⪸-2786=⫖↰⪸-2786","layer":0}]}
{"id":333,"expression_no_base_symbol":"(($1323$+$1346$)⨽$9013$⋝⋈⪟$1732$)∑⇟⊟($4135$⊦⊿)⇷($8376$∑⇟⊟$4783$)⪐","expression":"((⫖↰⪸923+⫖↰⪸942)⨽⫖↰⪸5271⋝⋈⪟⫖↰⪸1004)∑⇟⊟(⫖↰⪸2487⊦⊿)⇷(⫖↰⪸4A20∑⇟⊟⫖↰⪸2927)⪐","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":177474,"operation_count":8,"complexity_ratio":22184.25,"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":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":9013,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4135,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8376,"base":12},"right_expr":{"type":"numeric_atoms","value":4783,"base":12}}}}},"used_operators":["eH2TOUuTDT","U7g4x0WXJJ","8HhzD0ZcuI","W4YGzv6Whe","2DDjHMKMc0","mp7IySMOzn","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=1346, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2669","layer":3},{"info":"number node, value=9013","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=9013, right_input=1732, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=9013","layer":3},{"info":"compute binary expreesion, left_input=2669, right_input=9013, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21396408","layer":2},{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12484","layer":3},{"info":"number node, value=8376","layer":4},{"info":"number node, value=4783","layer":4},{"info":"compute binary expreesion, left_input=8376, right_input=4783, 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=-12484, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21396408, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸923+⫖↰⪸942)⨽⫖↰⪸5271⋝⋈⪟⫖↰⪸1004)∑⇟⊟(⫖↰⪸2487⊦⊿)⇷(⫖↰⪸4A20∑⇟⊟⫖↰⪸2927)⪐=NaN","reverse_text":"NaN=((⫖↰⪸923+⫖↰⪸942)⨽⫖↰⪸5271⋝⋈⪟⫖↰⪸1004)∑⇟⊟(⫖↰⪸2487⊦⊿)⇷(⫖↰⪸4A20∑⇟⊟⫖↰⪸2927)⪐","cot":[{"info":"⫖↰⪸923+⫖↰⪸942=⫖↰⪸1665","layer":3},{"info":"⫖↰⪸5271⋝⋈⪟⫖↰⪸1004=⫖↰⪸5271","layer":3},{"info":"⫖↰⪸1665⨽⫖↰⪸5271=⫖↰⪸-71BA220","layer":2},{"info":"⫖↰⪸2487⊦⊿=⫖↰⪸-7284","layer":3},{"info":"⫖↰⪸4A20∑⇟⊟⫖↰⪸2927=NaN","layer":3},{"info":"⫖↰⪸-7284⇷NaN=NaN","layer":2},{"info":"⫖↰⪸-71BA220∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"↔(⫓⪴(⫛⫱⨽$1200$)⨟⋌⩍($1365$⋳⪒$1176$))","expression":"↔(⫓⪴(⫛⫱⨽⫖↰⪸840)⨟⋌⩍(⫖↰⪸959⋳⪒⫖↰⪸820))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1453,"operation_count":5,"complexity_ratio":290.6,"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":1200,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1365,"base":12},"right_expr":{"type":"numeric_atoms","value":1176,"base":12}}}}},"used_operators":["ruOEQAzv1W","eLxqMNBOBk","rGHVDoGpnC","DlLNRPXxWL","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","Tcnh7f0tEr","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1176, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1267","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1267, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"↔(⫓⪴(⫛⫱⨽⫖↰⪸840)⨟⋌⩍(⫖↰⪸959⋳⪒⫖↰⪸820))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔(⫓⪴(⫛⫱⨽⫖↰⪸840)⨟⋌⩍(⫖↰⪸959⋳⪒⫖↰⪸820))","cot":[{"info":"⫛⫱⨽⫖↰⪸840=⫖↰⪸0","layer":3},{"info":"⫖↰⪸959⋳⪒⫖↰⪸820=⫖↰⪸897","layer":3},{"info":"⫖↰⪸0⨟⋌⩍⫖↰⪸897=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":335,"expression_no_base_symbol":"(⨈⫕(($2718$/$7718$)⊭↱$3182$⫥∨⫟$4519$))↬(($2676$+⇶⊼$4105$)≧⫂∧$3400$∑⇟⊟$7534$⋥≓≎($1024$+$1539$⪨≂$1267$⨪↰⇹$3735$))","expression":"(⨈⫕((⫖↰⪸16A6/⫖↰⪸4572)⊭↱⫖↰⪸1A12⫥∨⫟⫖↰⪸2747))↬((⫖↰⪸1670+⇶⊼⫖↰⪸2461)≧⫂∧⫖↰⪸1B74∑⇟⊟⫖↰⪸443A⋥≓≎(⫖↰⪸714+⫖↰⪸A83⪨≂⫖↰⪸897⨪↰⇹⫖↰⪸21B3))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2179,"operation_count":12,"complexity_ratio":181.58333333333334,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2718,"base":12},"right_expr":{"type":"numeric_atoms","value":7718,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3182,"base":12},"right_expr":{"type":"numeric_atoms","value":4519,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2676,"base":12},"right_expr":{"type":"numeric_atoms","value":4105,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3400,"base":12},"right_expr":{"type":"numeric_atoms","value":7534,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":1539,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1267,"base":12},"right_expr":{"type":"numeric_atoms","value":3735,"base":12}}}}},"used_operators":["B5M0gjZbta","megm06wKyl","COABgblf1C","XhwjNDsVaA","KYD54nUTWz","Qy55tPpLXF","Ph9nP6C5qx","TpPTUOHfaN","U7g4x0WXJJ","sdazOOVcIp","W4YGzv6Whe","tmPS8pqC7x"],"dependent_operators":["rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2718","layer":4},{"info":"number node, value=7718","layer":4},{"info":"compute binary expreesion, left_input=2718, right_input=7718, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3182","layer":4},{"info":"number node, value=4519","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=4519, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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=2676","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=4105, 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=3400","layer":4},{"info":"number node, value=7534","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=7534, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1539, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2563","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=3735, 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=1267","layer":3},{"info":"compute binary expreesion, left_input=2563, right_input=1267, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2694","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2694, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=67, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=0","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕((⫖↰⪸16A6/⫖↰⪸4572)⊭↱⫖↰⪸1A12⫥∨⫟⫖↰⪸2747))↬((⫖↰⪸1670+⇶⊼⫖↰⪸2461)≧⫂∧⫖↰⪸1B74∑⇟⊟⫖↰⪸443A⋥≓≎(⫖↰⪸714+⫖↰⪸A83⪨≂⫖↰⪸897⨪↰⇹⫖↰⪸21B3))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨈⫕((⫖↰⪸16A6/⫖↰⪸4572)⊭↱⫖↰⪸1A12⫥∨⫟⫖↰⪸2747))↬((⫖↰⪸1670+⇶⊼⫖↰⪸2461)≧⫂∧⫖↰⪸1B74∑⇟⊟⫖↰⪸443A⋥≓≎(⫖↰⪸714+⫖↰⪸A83⪨≂⫖↰⪸897⨪↰⇹⫖↰⪸21B3))","cot":[{"info":"⫖↰⪸16A6/⫖↰⪸4572=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1A12⫥∨⫟⫖↰⪸2747=NaN","layer":3},{"info":"⫖↰⪸0⊭↱NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸1670+⇶⊼⫖↰⪸2461=NaN","layer":3},{"info":"⫖↰⪸1B74∑⇟⊟⫖↰⪸443A=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸714+⫖↰⪸A83=⫖↰⪸1597","layer":3},{"info":"⫖↰⪸897⨪↰⇹⫖↰⪸21B3=⫖↰⪸897","layer":3},{"info":"⫖↰⪸1597⪨≂⫖↰⪸897=⫖↰⪸1686","layer":2},{"info":"NaN⋥≓≎⫖↰⪸1686=⫖↰⪸57","layer":1},{"info":"⫖↰⪸-19↬⫖↰⪸57=⫖↰⪸0","layer":0}]}
{"id":336,"expression_no_base_symbol":"(≦∁$3880$⨳⩥⨓$3073$⇼⇔∾(≦∁$1230$))∲⫓($1439$⋳⪒$1452$)⨟⋌⩍($4903$⨸⪁$3410$)⊉≛↸($3510$≹⇙⪍$5574$≦≮≮)","expression":"(≦∁⫖↰⪸22B4⨳⩥⨓⫖↰⪸1941⇼⇔∾(≦∁⫖↰⪸866))∲⫓(⫖↰⪸9BB⋳⪒⫖↰⪸A10)⨟⋌⩍(⫖↰⪸2A07⨸⪁⫖↰⪸1B82)⊉≛↸(⫖↰⪸2046≹⇙⪍⫖↰⪸3286≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26,"operation_count":11,"complexity_ratio":2.3636363636363638,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3880,"base":12},"right_expr":{"type":"numeric_atoms","value":3073,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1230,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1439,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4903,"base":12},"right_expr":{"type":"numeric_atoms","value":3410,"base":12}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3510,"base":12},"right_expr":{"type":"numeric_atoms","value":5574,"base":12}}}}},"used_operators":["i8ToyICDmI","9ICcGScMcE","tifHPKVTfV","nCS4ZIUYfx","DZ8iAZOCBD","rGHVDoGpnC","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3880","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=3880, right_input=3073, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-807","layer":3},{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1230","layer":3},{"info":"compute binary expreesion, left_input=-807, right_input=1230, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2037","layer":2},{"info":"compute unary expreesion, input=2037, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2037","layer":1},{"info":"number node, value=1439","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1452, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1139","layer":3},{"info":"number node, value=4903","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=4903, right_input=3410, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16626","layer":3},{"info":"compute binary expreesion, left_input=1139, right_input=16626, 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=3510","layer":4},{"info":"number node, value=5574","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=5574, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2037, 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":"(≦∁⫖↰⪸22B4⨳⩥⨓⫖↰⪸1941⇼⇔∾(≦∁⫖↰⪸866))∲⫓(⫖↰⪸9BB⋳⪒⫖↰⪸A10)⨟⋌⩍(⫖↰⪸2A07⨸⪁⫖↰⪸1B82)⊉≛↸(⫖↰⪸2046≹⇙⪍⫖↰⪸3286≦≮≮)=NaN","reverse_text":"NaN=(≦∁⫖↰⪸22B4⨳⩥⨓⫖↰⪸1941⇼⇔∾(≦∁⫖↰⪸866))∲⫓(⫖↰⪸9BB⋳⪒⫖↰⪸A10)⨟⋌⩍(⫖↰⪸2A07⨸⪁⫖↰⪸1B82)⊉≛↸(⫖↰⪸2046≹⇙⪍⫖↰⪸3286≦≮≮)","cot":[{"info":"⫖↰⪸22B4⨳⩥⨓⫖↰⪸1941=⫖↰⪸-573","layer":3},{"info":"≦∁⫖↰⪸866=⫖↰⪸866","layer":3},{"info":"⫖↰⪸-573⇼⇔∾⫖↰⪸866=⫖↰⪸1219","layer":2},{"info":"≦∁⫖↰⪸1219=⫖↰⪸1219","layer":1},{"info":"⫖↰⪸9BB⋳⪒⫖↰⪸A10=⫖↰⪸7AB","layer":3},{"info":"⫖↰⪸2A07⨸⪁⫖↰⪸1B82=⫖↰⪸9756","layer":3},{"info":"⫖↰⪸7AB⨟⋌⩍⫖↰⪸9756=NaN","layer":2},{"info":"⫖↰⪸2046≹⇙⪍⫖↰⪸3286=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⫖↰⪸1219∲⫓NaN=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"((($3602$↪⪝)⫸⊐($2468$%$6193$))⨐⩸⫘(($1467$∲⫓$3331$)≋⫹))⫥∨⫟(($1220$⊪)⨰(⫓⪴$7418$)⨳⩥⨓(⪲⇎$3894$⋥≓≎$1354$))","expression":"(((⫖↰⪸2102↪⪝)⫸⊐(⫖↰⪸1518%⫖↰⪸3701))⨐⩸⫘((⫖↰⪸A23∲⫓⫖↰⪸1B17)≋⫹))⫥∨⫟((⫖↰⪸858⊪)⨰(⫓⪴⫖↰⪸4362)⨳⩥⨓(⪲⇎⫖↰⪸2306⋥≓≎⫖↰⪸94A))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8351,"operation_count":13,"complexity_ratio":642.3846153846154,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3602,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2468,"base":12},"right_expr":{"type":"numeric_atoms","value":6193,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1467,"base":12},"right_expr":{"type":"numeric_atoms","value":3331,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1220,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7418,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3894,"base":12},"right_expr":{"type":"numeric_atoms","value":1354,"base":12}}}}},"used_operators":["KYD54nUTWz","fu6greOZ01","mqXw5SEYmG","l07mrZUIn9","k8jYdgA6NY","N41Kp7NANJ","i8ToyICDmI","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","eLxqMNBOBk","XPYlsWDdGa","Qy55tPpLXF"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3602","layer":4},{"info":"compute unary expreesion, input=3602, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=220377564","layer":3},{"info":"number node, value=2468","layer":4},{"info":"number node, value=6193","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=6193, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2468","layer":3},{"info":"compute binary expreesion, left_input=220377564, right_input=2468, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9747","layer":2},{"info":"number node, value=1467","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=3331, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9747, 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=9747","layer":1},{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, 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=7418","layer":4},{"info":"compute unary expreesion, input=7418, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=55026724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=55026724, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-55026714","layer":2},{"info":"number node, value=3894","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=3894, right_input=1354, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1153","layer":3},{"info":"compute unary expreesion, input=-1153, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2306","layer":2},{"info":"compute binary expreesion, left_input=-55026714, right_input=-2306, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=55024408","layer":1},{"info":"compute binary expreesion, left_input=9747, right_input=55024408, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2102↪⪝)⫸⊐(⫖↰⪸1518%⫖↰⪸3701))⨐⩸⫘((⫖↰⪸A23∲⫓⫖↰⪸1B17)≋⫹))⫥∨⫟((⫖↰⪸858⊪)⨰(⫓⪴⫖↰⪸4362)⨳⩥⨓(⪲⇎⫖↰⪸2306⋥≓≎⫖↰⪸94A))=NaN","reverse_text":"NaN=(((⫖↰⪸2102↪⪝)⫸⊐(⫖↰⪸1518%⫖↰⪸3701))⨐⩸⫘((⫖↰⪸A23∲⫓⫖↰⪸1B17)≋⫹))⫥∨⫟((⫖↰⪸858⊪)⨰(⫓⪴⫖↰⪸4362)⨳⩥⨓(⪲⇎⫖↰⪸2306⋥≓≎⫖↰⪸94A))","cot":[{"info":"⫖↰⪸2102↪⪝=⫖↰⪸61979390","layer":3},{"info":"⫖↰⪸1518%⫖↰⪸3701=⫖↰⪸1518","layer":3},{"info":"⫖↰⪸61979390⫸⊐⫖↰⪸1518=⫖↰⪸5783","layer":2},{"info":"⫖↰⪸A23∲⫓⫖↰⪸1B17=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≋⫹=⫖↰⪸0","layer":2},{"info":"⫖↰⪸5783⨐⩸⫘⫖↰⪸0=⫖↰⪸5783","layer":1},{"info":"⫖↰⪸858⊪=⫖↰⪸0","layer":3},{"info":"⫓⪴⫖↰⪸4362=⫖↰⪸16518204","layer":3},{"info":"⫖↰⪸0⨰⫖↰⪸16518204=⫖↰⪸-165181B6","layer":2},{"info":"⫖↰⪸2306⋥≓≎⫖↰⪸94A=⫖↰⪸-801","layer":3},{"info":"⪲⇎⫖↰⪸-801=⫖↰⪸-1402","layer":2},{"info":"⫖↰⪸-165181B6⨳⩥⨓⫖↰⪸-1402=⫖↰⪸165169B4","layer":1},{"info":"⫖↰⪸5783⫥∨⫟⫖↰⪸165169B4=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"(⋗⩬⋾(⪝⪂⫅(↥$1800$)))⩨($6343$∲⫓$4586$)⋓($2081$↙$1861$)⩚⊴⇥($2191$↺$2872$)⨪↰⇹$2578$∼$4325$","expression":"(⋗⩬⋾(⪝⪂⫅(↥⫖↰⪸1060)))⩨(⫖↰⪸3807∲⫓⫖↰⪸27A2)⋓(⫖↰⪸1255↙⫖↰⪸10B1)⩚⊴⇥(⫖↰⪸1327↺⫖↰⪸17B4)⨪↰⇹⫖↰⪸15AA∼⫖↰⪸2605","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4868,"operation_count":11,"complexity_ratio":442.54545454545456,"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":1800,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6343,"base":12},"right_expr":{"type":"numeric_atoms","value":4586,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2081,"base":12},"right_expr":{"type":"numeric_atoms","value":1861,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2191,"base":12},"right_expr":{"type":"numeric_atoms","value":2872,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2578,"base":12},"right_expr":{"type":"numeric_atoms","value":4325,"base":12}}}}},"used_operators":["2DlMacCsIx","DpFCA1CohY","XTarYq4gQB","A8NUZmVepG","NTOWxs364D","T2fj7uvVaJ","i8ToyICDmI","yyfyN0ffXY","tmPS8pqC7x","7j4O788W3g","DyGG3AbaNP"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫖↰⪸3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":4},{"info":"compute unary expreesion, input=1800, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":3},{"info":"compute unary expreesion, input=15, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-2205","layer":2},{"info":"compute unary expreesion, input=-2205, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=6615","layer":1},{"info":"number node, value=6343","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=6343, right_input=4586, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1861, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5583","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5583, 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=2191","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=2872, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2872","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=4325, 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=2872, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2872","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2872, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2993","layer":1},{"info":"compute binary expreesion, left_input=6615, right_input=-2993, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾(⪝⪂⫅(↥⫖↰⪸1060)))⩨(⫖↰⪸3807∲⫓⫖↰⪸27A2)⋓(⫖↰⪸1255↙⫖↰⪸10B1)⩚⊴⇥(⫖↰⪸1327↺⫖↰⪸17B4)⨪↰⇹⫖↰⪸15AA∼⫖↰⪸2605=⫖↰⪸3","reverse_text":"⫖↰⪸3=(⋗⩬⋾(⪝⪂⫅(↥⫖↰⪸1060)))⩨(⫖↰⪸3807∲⫓⫖↰⪸27A2)⋓(⫖↰⪸1255↙⫖↰⪸10B1)⩚⊴⇥(⫖↰⪸1327↺⫖↰⪸17B4)⨪↰⇹⫖↰⪸15AA∼⫖↰⪸2605","cot":[{"info":"↥⫖↰⪸1060=⫖↰⪸13","layer":3},{"info":"⪝⪂⫅⫖↰⪸13=⫖↰⪸-1339","layer":2},{"info":"⋗⩬⋾⫖↰⪸-1339=⫖↰⪸39B3","layer":1},{"info":"⫖↰⪸3807∲⫓⫖↰⪸27A2=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1255↙⫖↰⪸10B1=⫖↰⪸-3293","layer":3},{"info":"⫖↰⪸0⋓⫖↰⪸-3293=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1327↺⫖↰⪸17B4=⫖↰⪸17B4","layer":3},{"info":"⫖↰⪸15AA∼⫖↰⪸2605=NaN","layer":3},{"info":"⫖↰⪸17B4⨪↰⇹NaN=⫖↰⪸17B4","layer":2},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸17B4=⫖↰⪸-1895","layer":1},{"info":"⫖↰⪸39B3⩨⫖↰⪸-1895=⫖↰⪸3","layer":0}]}
{"id":339,"expression_no_base_symbol":"⩦⩻⨪($1805$∲⫓$5345$⨵⪆($1829$⪨≂$2987$)/($2903$⊭↱$5233$)⨽$3444$⫥∨⫟$2955$)","expression":"⩦⩻⨪(⫖↰⪸1065∲⫓⫖↰⪸3115⨵⪆(⫖↰⪸1085⪨≂⫖↰⪸188B)/(⫖↰⪸181B⊭↱⫖↰⪸3041)⨽⫖↰⪸1BB0⫥∨⫟⫖↰⪸1863)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4846,"operation_count":8,"complexity_ratio":605.75,"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":1805,"base":12},"right_expr":{"type":"numeric_atoms","value":5345,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1829,"base":12},"right_expr":{"type":"numeric_atoms","value":2987,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2903,"base":12},"right_expr":{"type":"numeric_atoms","value":5233,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3444,"base":12},"right_expr":{"type":"numeric_atoms","value":2955,"base":12}}}}},"used_operators":["2td37pGCOC","XhwjNDsVaA","2DQ55sFlQl","i8ToyICDmI","sdazOOVcIp","8HhzD0ZcuI","COABgblf1C","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":4},{"info":"number node, value=5345","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=5345, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1829","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=2987, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2214","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2214, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2903","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=5233, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4665","layer":3},{"info":"number node, value=3444","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=2955, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4665, 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=160, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⫖↰⪸1065∲⫓⫖↰⪸3115⨵⪆(⫖↰⪸1085⪨≂⫖↰⪸188B)/(⫖↰⪸181B⊭↱⫖↰⪸3041)⨽⫖↰⪸1BB0⫥∨⫟⫖↰⪸1863)=NaN","reverse_text":"NaN=⩦⩻⨪(⫖↰⪸1065∲⫓⫖↰⪸3115⨵⪆(⫖↰⪸1085⪨≂⫖↰⪸188B)/(⫖↰⪸181B⊭↱⫖↰⪸3041)⨽⫖↰⪸1BB0⫥∨⫟⫖↰⪸1863)","cot":[{"info":"⫖↰⪸1065∲⫓⫖↰⪸3115=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1085⪨≂⫖↰⪸188B=⫖↰⪸-1346","layer":3},{"info":"⫖↰⪸0⨵⪆⫖↰⪸-1346=⫖↰⪸114","layer":2},{"info":"⫖↰⪸181B⊭↱⫖↰⪸3041=⫖↰⪸2849","layer":3},{"info":"⫖↰⪸1BB0⫥∨⫟⫖↰⪸1863=NaN","layer":3},{"info":"⫖↰⪸2849⨽NaN=NaN","layer":2},{"info":"⫖↰⪸114/NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"(($1165$∲⫓$5849$)*$1710$⪘⫢$1702$)∑⇟⊟($1189$⨟⋌⩍$1962$-($4857$⋷$2829$))⫩⊇","expression":"((⫖↰⪸811∲⫓⫖↰⪸3475)*⫖↰⪸BA6⪘⫢⫖↰⪸B9A)∑⇟⊟(⫖↰⪸831⨟⋌⩍⫖↰⪸1176-(⫖↰⪸2989⋷⫖↰⪸1779))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26,"operation_count":8,"complexity_ratio":3.25,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1165,"base":12},"right_expr":{"type":"numeric_atoms","value":5849,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1710,"base":12},"right_expr":{"type":"numeric_atoms","value":1702,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1189,"base":12},"right_expr":{"type":"numeric_atoms","value":1962,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4857,"base":12},"right_expr":{"type":"numeric_atoms","value":2829,"base":12}}}}},"used_operators":["BjRHVeLaeN","U7g4x0WXJJ","9HNa5Wba9A","i8ToyICDmI","oacrs7FA3X","rysDP5nf3Z","rGHVDoGpnC","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"number node, value=5849","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=5849, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1710","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=1702, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3296","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3296, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1189","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1962, 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=4857","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=4857, right_input=2829, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=801","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=801, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸811∲⫓⫖↰⪸3475)*⫖↰⪸BA6⪘⫢⫖↰⪸B9A)∑⇟⊟(⫖↰⪸831⨟⋌⩍⫖↰⪸1176-(⫖↰⪸2989⋷⫖↰⪸1779))⫩⊇=NaN","reverse_text":"NaN=((⫖↰⪸811∲⫓⫖↰⪸3475)*⫖↰⪸BA6⪘⫢⫖↰⪸B9A)∑⇟⊟(⫖↰⪸831⨟⋌⩍⫖↰⪸1176-(⫖↰⪸2989⋷⫖↰⪸1779))⫩⊇","cot":[{"info":"⫖↰⪸811∲⫓⫖↰⪸3475=⫖↰⪸0","layer":3},{"info":"⫖↰⪸BA6⪘⫢⫖↰⪸B9A=⫖↰⪸1AA8","layer":3},{"info":"⫖↰⪸0*⫖↰⪸1AA8=⫖↰⪸0","layer":2},{"info":"⫖↰⪸831⨟⋌⩍⫖↰⪸1176=NaN","layer":3},{"info":"⫖↰⪸2989⋷⫖↰⪸1779=⫖↰⪸569","layer":3},{"info":"NaN-⫖↰⪸569=NaN","layer":2},{"info":"⫖↰⪸0∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"⨑⩽⪐(((↩$4819$)⪄($4697$⊭↱$3216$))⊦⊿)","expression":"⨑⩽⪐(((↩⫖↰⪸2957)⪄(⫖↰⪸2875⊭↱⫖↰⪸1A40))⊦⊿)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":127,"operation_count":5,"complexity_ratio":25.4,"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":4819,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4697,"base":12},"right_expr":{"type":"numeric_atoms","value":3216,"base":12}}}}},"used_operators":["AF7qkfDlqP","14qkJME0vr","SUmda5xLS4","jLgFTUHLKL","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸12445","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4819","layer":4},{"info":"compute unary expreesion, input=4819, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35772","layer":3},{"info":"number node, value=4697","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=3216, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2957","layer":3},{"info":"compute binary expreesion, left_input=-35772, right_input=-2957, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12016","layer":1},{"info":"compute unary expreesion, input=-12016, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=24821","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(((↩⫖↰⪸2957)⪄(⫖↰⪸2875⊭↱⫖↰⪸1A40))⊦⊿)=⫖↰⪸12445","reverse_text":"⫖↰⪸12445=⨑⩽⪐(((↩⫖↰⪸2957)⪄(⫖↰⪸2875⊭↱⫖↰⪸1A40))⊦⊿)","cot":[{"info":"↩⫖↰⪸2957=⫖↰⪸-18850","layer":3},{"info":"⫖↰⪸2875⊭↱⫖↰⪸1A40=⫖↰⪸-1865","layer":3},{"info":"⫖↰⪸-18850⪄⫖↰⪸-1865=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸2377⊦⊿=⫖↰⪸-6B54","layer":1},{"info":"⨑⩽⪐⫖↰⪸-6B54=⫖↰⪸12445","layer":0}]}
{"id":342,"expression_no_base_symbol":"(⫓⪴($7534$⨰$2032$⨳⩥⨓($7627$⊪)))⇼⇔∾(⨰⫟⨤($7847$⪒$1003$)⨟⋌⩍(⫓⪴$6838$))","expression":"(⫓⪴(⫖↰⪸443A⨰⫖↰⪸1214⨳⩥⨓(⫖↰⪸44B7⊪)))⇼⇔∾(⨰⫟⨤(⫖↰⪸465B⪒⫖↰⪸6B7)⨟⋌⩍(⫓⪴⫖↰⪸3B5A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12427,"operation_count":9,"complexity_ratio":1380.7777777777778,"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":7534,"base":12},"right_expr":{"type":"numeric_atoms","value":2032,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7627,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7847,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6838,"base":12}}}}},"used_operators":["tifHPKVTfV","eLxqMNBOBk","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","Tw270M8GLb","rGHVDoGpnC","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7534","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=7534, right_input=2032, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5512","layer":3},{"info":"number node, value=7627","layer":4},{"info":"compute unary expreesion, input=7627, 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=5512, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5512","layer":2},{"info":"compute unary expreesion, input=-5512, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=30382144","layer":1},{"info":"number node, value=7847","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=7847, right_input=1003, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8850","layer":3},{"info":"number node, value=6838","layer":4},{"info":"compute unary expreesion, input=6838, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=46758244","layer":3},{"info":"compute binary expreesion, left_input=-8850, right_input=46758244, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=30382144, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸443A⨰⫖↰⪸1214⨳⩥⨓(⫖↰⪸44B7⊪)))⇼⇔∾(⨰⫟⨤(⫖↰⪸465B⪒⫖↰⪸6B7)⨟⋌⩍(⫓⪴⫖↰⪸3B5A))=NaN","reverse_text":"NaN=(⫓⪴(⫖↰⪸443A⨰⫖↰⪸1214⨳⩥⨓(⫖↰⪸44B7⊪)))⇼⇔∾(⨰⫟⨤(⫖↰⪸465B⪒⫖↰⪸6B7)⨟⋌⩍(⫓⪴⫖↰⪸3B5A))","cot":[{"info":"⫖↰⪸443A⨰⫖↰⪸1214=⫖↰⪸3234","layer":3},{"info":"⫖↰⪸44B7⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3234⨳⩥⨓⫖↰⪸0=⫖↰⪸-3234","layer":2},{"info":"⫓⪴⫖↰⪸-3234=⫖↰⪸A212314","layer":1},{"info":"⫖↰⪸465B⪒⫖↰⪸6B7=⫖↰⪸-5156","layer":3},{"info":"⫓⪴⫖↰⪸3B5A=⫖↰⪸137AB204","layer":3},{"info":"⫖↰⪸-5156⨟⋌⩍⫖↰⪸137AB204=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸A212314⇼⇔∾NaN=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"($1435$⊭↱$3617$)⪮%⊝($1129$∼$1876$)⪛((⩦⩻⨪$1000$)∸)⪘⫢(($4403$%$4560$)⇼⇔∾($1373$∲⫓$1288$))⨟⋌⩍($3202$↺$5105$∲⫓($1341$+$1038$))","expression":"(⫖↰⪸9B7⊭↱⫖↰⪸2115)⪮%⊝(⫖↰⪸7A1∼⫖↰⪸1104)⪛((⩦⩻⨪⫖↰⪸6B4)∸)⪘⫢((⫖↰⪸266B%⫖↰⪸2780)⇼⇔∾(⫖↰⪸965∲⫓⫖↰⪸8B4))⨟⋌⩍(⫖↰⪸1A2A↺⫖↰⪸2B55∲⫓(⫖↰⪸939+⫖↰⪸726))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":243,"operation_count":14,"complexity_ratio":17.357142857142858,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1435,"base":12},"right_expr":{"type":"numeric_atoms","value":3617,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1129,"base":12},"right_expr":{"type":"numeric_atoms","value":1876,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1000,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4403,"base":12},"right_expr":{"type":"numeric_atoms","value":4560,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1373,"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":3202,"base":12},"right_expr":{"type":"numeric_atoms","value":5105,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1341,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}}}}},"used_operators":["oacrs7FA3X","uFcxV4UQCh","IWmyXbctLI","COABgblf1C","DyGG3AbaNP","o20kRiQErp","2td37pGCOC","rGHVDoGpnC","tifHPKVTfV","k8jYdgA6NY","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=3617, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4369","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1876, 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=4369, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1000","layer":3},{"info":"compute unary expreesion, input=1000, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=4403","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=4403, right_input=4560, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4403","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=1288, 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=4403, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4403","layer":2},{"info":"number node, value=3202","layer":4},{"info":"number node, value=5105","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=5105, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5105","layer":3},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1038, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2379","layer":3},{"info":"compute binary expreesion, left_input=5105, right_input=2379, 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=-4403, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=-4403","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4403, 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":"(⫖↰⪸9B7⊭↱⫖↰⪸2115)⪮%⊝(⫖↰⪸7A1∼⫖↰⪸1104)⪛((⩦⩻⨪⫖↰⪸6B4)∸)⪘⫢((⫖↰⪸266B%⫖↰⪸2780)⇼⇔∾(⫖↰⪸965∲⫓⫖↰⪸8B4))⨟⋌⩍(⫖↰⪸1A2A↺⫖↰⪸2B55∲⫓(⫖↰⪸939+⫖↰⪸726))=NaN","reverse_text":"NaN=(⫖↰⪸9B7⊭↱⫖↰⪸2115)⪮%⊝(⫖↰⪸7A1∼⫖↰⪸1104)⪛((⩦⩻⨪⫖↰⪸6B4)∸)⪘⫢((⫖↰⪸266B%⫖↰⪸2780)⇼⇔∾(⫖↰⪸965∲⫓⫖↰⪸8B4))⨟⋌⩍(⫖↰⪸1A2A↺⫖↰⪸2B55∲⫓(⫖↰⪸939+⫖↰⪸726))","cot":[{"info":"⫖↰⪸9B7⊭↱⫖↰⪸2115=⫖↰⪸2641","layer":3},{"info":"⫖↰⪸7A1∼⫖↰⪸1104=NaN","layer":3},{"info":"⫖↰⪸2641⪮%⊝NaN=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸6B4=⫖↰⪸6B4","layer":3},{"info":"⫖↰⪸6B4∸=⫖↰⪸129","layer":2},{"info":"NaN⪛⫖↰⪸129=NaN","layer":1},{"info":"⫖↰⪸266B%⫖↰⪸2780=⫖↰⪸266B","layer":3},{"info":"⫖↰⪸965∲⫓⫖↰⪸8B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸266B⇼⇔∾⫖↰⪸0=⫖↰⪸-266B","layer":2},{"info":"⫖↰⪸1A2A↺⫖↰⪸2B55=⫖↰⪸2B55","layer":3},{"info":"⫖↰⪸939+⫖↰⪸726=⫖↰⪸1463","layer":3},{"info":"⫖↰⪸2B55∲⫓⫖↰⪸1463=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-266B⨟⋌⩍⫖↰⪸0=⫖↰⪸-266B","layer":1},{"info":"NaN⪘⫢⫖↰⪸-266B=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"($2823$↺$2796$≣⋋)*($1971$⪘⫢$3603$)⨪↰⇹($1774$⫸⊐$4950$)⇼⇔∾(($3679$⨽$6569$)≹⇙⪍(-$3301$)⨸⪁(($5157$⊭↱$1047$)⨁⊸⫻))","expression":"(⫖↰⪸1773↺⫖↰⪸1750≣⋋)*(⫖↰⪸1183⪘⫢⫖↰⪸2103)⨪↰⇹(⫖↰⪸103A⫸⊐⫖↰⪸2A46)⇼⇔∾((⫖↰⪸2167⨽⫖↰⪸3975)≹⇙⪍(-⫖↰⪸1AB1)⨸⪁((⫖↰⪸2B99⊭↱⫖↰⪸733)⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8078,"operation_count":13,"complexity_ratio":621.3846153846154,"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":2823,"base":12},"right_expr":{"type":"numeric_atoms","value":2796,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1971,"base":12},"right_expr":{"type":"numeric_atoms","value":3603,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1774,"base":12},"right_expr":{"type":"numeric_atoms","value":4950,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3679,"base":12},"right_expr":{"type":"numeric_atoms","value":6569,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3301,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5157,"base":12},"right_expr":{"type":"numeric_atoms","value":1047,"base":12}}}}},"used_operators":["tifHPKVTfV","9HNa5Wba9A","Tcnh7f0tEr","7j4O788W3g","tmPS8pqC7x","oacrs7FA3X","mqXw5SEYmG","g55IO6H4Gj","AHs5Up7iyr","8HhzD0ZcuI","t8gj7n24qd","glklzrTFfD","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2823","layer":4},{"info":"number node, value=2796","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=2796, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2796","layer":3},{"info":"compute unary expreesion, input=2796, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1971","layer":4},{"info":"number node, value=3603","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=3603, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3818","layer":3},{"info":"number node, value=1774","layer":4},{"info":"number node, value=4950","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=4950, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19675","layer":3},{"info":"compute binary expreesion, left_input=3818, right_input=19675, 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=3818","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3818, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3679","layer":4},{"info":"number node, value=6569","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=6569, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-40623516","layer":3},{"info":"number node, value=3301","layer":4},{"info":"compute unary expreesion, input=3301, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3301","layer":3},{"info":"compute binary expreesion, left_input=-40623516, right_input=-3301, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5157","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=5157, right_input=1047, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8215","layer":3},{"info":"compute unary expreesion, input=-8215, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-16430","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16430, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1773↺⫖↰⪸1750≣⋋)*(⫖↰⪸1183⪘⫢⫖↰⪸2103)⨪↰⇹(⫖↰⪸103A⫸⊐⫖↰⪸2A46)⇼⇔∾((⫖↰⪸2167⨽⫖↰⪸3975)≹⇙⪍(-⫖↰⪸1AB1)⨸⪁((⫖↰⪸2B99⊭↱⫖↰⪸733)⨁⊸⫻))=NaN","reverse_text":"NaN=(⫖↰⪸1773↺⫖↰⪸1750≣⋋)*(⫖↰⪸1183⪘⫢⫖↰⪸2103)⨪↰⇹(⫖↰⪸103A⫸⊐⫖↰⪸2A46)⇼⇔∾((⫖↰⪸2167⨽⫖↰⪸3975)≹⇙⪍(-⫖↰⪸1AB1)⨸⪁((⫖↰⪸2B99⊭↱⫖↰⪸733)⨁⊸⫻))","cot":[{"info":"⫖↰⪸1773↺⫖↰⪸1750=⫖↰⪸1750","layer":3},{"info":"⫖↰⪸1750≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1183⪘⫢⫖↰⪸2103=⫖↰⪸2262","layer":3},{"info":"⫖↰⪸103A⫸⊐⫖↰⪸2A46=⫖↰⪸B477","layer":3},{"info":"⫖↰⪸2262⨪↰⇹⫖↰⪸B477=⫖↰⪸2262","layer":2},{"info":"⫖↰⪸0*⫖↰⪸2262=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2167⨽⫖↰⪸3975=⫖↰⪸-11730B90","layer":3},{"info":"-⫖↰⪸1AB1=⫖↰⪸-1AB1","layer":3},{"info":"⫖↰⪸-11730B90≹⇙⪍⫖↰⪸-1AB1=NaN","layer":2},{"info":"⫖↰⪸2B99⊭↱⫖↰⪸733=⫖↰⪸-4907","layer":3},{"info":"⫖↰⪸-4907⨁⊸⫻=⫖↰⪸-9612","layer":2},{"info":"NaN⨸⪁⫖↰⪸-9612=NaN","layer":1},{"info":"⫖↰⪸0⇼⇔∾NaN=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"(↯⪼(($4144$↛⩡⫤)⨸⪁(↯⪼$4485$)))⨰(↽≂(+⊝⨔(⨵≀≌$1049$)))","expression":"(↯⪼((⫖↰⪸2494↛⩡⫤)⨸⪁(↯⪼⫖↰⪸2719)))⨰(↽≂(+⊝⨔(⨵≀≌⫖↰⪸735)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12645,"operation_count":8,"complexity_ratio":1580.625,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4144,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4485,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1049,"base":12}}}}},"used_operators":["eewbuw0ToL","8jW3W4yZS5","g55IO6H4Gj","FU0Cs4j7VP","u6S6b8DprG","DhbWaqg5eL","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸A00869","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4144","layer":4},{"info":"compute unary expreesion, input=4144, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-621833","layer":3},{"info":"number node, value=4485","layer":4},{"info":"compute unary expreesion, input=4485, 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=-621833, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1243708","layer":2},{"info":"compute unary expreesion, input=-1243708, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2486499","layer":1},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3147","layer":3},{"info":"compute unary expreesion, input=-3147, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3044","layer":1},{"info":"compute binary expreesion, left_input=2486499, right_input=-3044, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2489553","layer":0}],"base":12,"result_base":12,"text":"(↯⪼((⫖↰⪸2494↛⩡⫤)⨸⪁(↯⪼⫖↰⪸2719)))⨰(↽≂(+⊝⨔(⨵≀≌⫖↰⪸735)))=⫖↰⪸A00869","reverse_text":"⫖↰⪸A00869=(↯⪼((⫖↰⪸2494↛⩡⫤)⨸⪁(↯⪼⫖↰⪸2719)))⨰(↽≂(+⊝⨔(⨵≀≌⫖↰⪸735)))","cot":[{"info":"⫖↰⪸2494↛⩡⫤=⫖↰⪸-25BA35","layer":3},{"info":"↯⪼⫖↰⪸2719=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-25BA35⨸⪁⫖↰⪸-19=⫖↰⪸-4BB8A4","layer":2},{"info":"↯⪼⫖↰⪸-4BB8A4=⫖↰⪸9BAB43","layer":1},{"info":"⨵≀≌⫖↰⪸735=⫖↰⪸-19A3","layer":3},{"info":"+⊝⨔⫖↰⪸-19A3=⫖↰⪸A6A","layer":2},{"info":"↽≂⫖↰⪸A6A=⫖↰⪸-1918","layer":1},{"info":"⫖↰⪸9BAB43⨰⫖↰⪸-1918=⫖↰⪸A00869","layer":0}]}
{"id":346,"expression_no_base_symbol":"((($1668$⨸⪁$3580$)⨳⩥⨓(⊄⩳↩$1678$))⨽($1269$⩨$2910$)⋳⪒(↽≂$2248$))≦≮≮","expression":"(((⫖↰⪸B70⨸⪁⫖↰⪸20A4)⨳⩥⨓(⊄⩳↩⫖↰⪸B7A))⨽(⫖↰⪸899⩨⫖↰⪸1826)⋳⪒(↽≂⫖↰⪸1374))≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15566,"operation_count":8,"complexity_ratio":1945.75,"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":1668,"base":12},"right_expr":{"type":"numeric_atoms","value":3580,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1678,"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":2910,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2248,"base":12}}}}},"used_operators":["D4vGDi5EA2","8HhzD0ZcuI","nCS4ZIUYfx","g55IO6H4Gj","8w2t5hMYqp","12rbrZMWeM","2DlMacCsIx","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=3580, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10496","layer":3},{"info":"number node, value=1678","layer":4},{"info":"compute unary expreesion, input=1678, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5034","layer":3},{"info":"compute binary expreesion, left_input=10496, right_input=-5034, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-15530","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2910, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4496","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-4496, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4197","layer":2},{"info":"compute binary expreesion, left_input=-15530, right_input=4197, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-723553977","layer":1},{"info":"compute unary expreesion, input=-723553977, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=inf","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸B70⨸⪁⫖↰⪸20A4)⨳⩥⨓(⊄⩳↩⫖↰⪸B7A))⨽(⫖↰⪸899⩨⫖↰⪸1826)⋳⪒(↽≂⫖↰⪸1374))≦≮≮=Inf","reverse_text":"Inf=(((⫖↰⪸B70⨸⪁⫖↰⪸20A4)⨳⩥⨓(⊄⩳↩⫖↰⪸B7A))⨽(⫖↰⪸899⩨⫖↰⪸1826)⋳⪒(↽≂⫖↰⪸1374))≦≮≮","cot":[{"info":"⫖↰⪸B70⨸⪁⫖↰⪸20A4=⫖↰⪸60A8","layer":3},{"info":"⊄⩳↩⫖↰⪸B7A=⫖↰⪸-2AB6","layer":3},{"info":"⫖↰⪸60A8⨳⩥⨓⫖↰⪸-2AB6=⫖↰⪸-8BA2","layer":2},{"info":"⫖↰⪸899⩨⫖↰⪸1826=⫖↰⪸-6","layer":3},{"info":"↽≂⫖↰⪸1374=⫖↰⪸-2728","layer":3},{"info":"⫖↰⪸-6⋳⪒⫖↰⪸-2728=⫖↰⪸2519","layer":2},{"info":"⫖↰⪸-8BA2⨽⫖↰⪸2519=⫖↰⪸-182397449","layer":1},{"info":"⫖↰⪸-182397449≦≮≮=Inf","layer":0}]}
{"id":347,"expression_no_base_symbol":"(($1032$↪⪝)∑⇟⊟($1190$⋳⪒$4558$)⋥≓≎(($5854$⋫)⩠))⊴((-$2692$⩨$4228$)≣⋋)","expression":"((⫖↰⪸720↪⪝)∑⇟⊟(⫖↰⪸832⋳⪒⫖↰⪸277A)⋥≓≎((⫖↰⪸347A⋫)⩠))⊴((-⫖↰⪸1684⩨⫖↰⪸2544)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6600,"operation_count":10,"complexity_ratio":660.0,"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":1032,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1190,"base":12},"right_expr":{"type":"numeric_atoms","value":4558,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5854,"base":12}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2692,"base":12},"right_expr":{"type":"numeric_atoms","value":4228,"base":12}}}}},"used_operators":["Nsiff2A1zJ","Qy55tPpLXF","U7g4x0WXJJ","l07mrZUIn9","12rbrZMWeM","sJAwomhLZr","JL8yIekQnl","Tcnh7f0tEr","t8gj7n24qd","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-67","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=63139824","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=4558, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2465","layer":3},{"info":"compute binary expreesion, left_input=63139824, right_input=-2465, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5854","layer":4},{"info":"compute unary expreesion, input=5854, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5854","layer":3},{"info":"compute unary expreesion, input=5854, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=2692","layer":4},{"info":"number node, value=4228","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=4228, 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 = t8gj7n24qd, unary_op_definition = 'None', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸720↪⪝)∑⇟⊟(⫖↰⪸832⋳⪒⫖↰⪸277A)⋥≓≎((⫖↰⪸347A⋫)⩠))⊴((-⫖↰⪸1684⩨⫖↰⪸2544)≣⋋)=⫖↰⪸-67","reverse_text":"⫖↰⪸-67=((⫖↰⪸720↪⪝)∑⇟⊟(⫖↰⪸832⋳⪒⫖↰⪸277A)⋥≓≎((⫖↰⪸347A⋫)⩠))⊴((-⫖↰⪸1684⩨⫖↰⪸2544)≣⋋)","cot":[{"info":"⫖↰⪸720↪⪝=⫖↰⪸1918B300","layer":3},{"info":"⫖↰⪸832⋳⪒⫖↰⪸277A=⫖↰⪸-1515","layer":3},{"info":"⫖↰⪸1918B300∑⇟⊟⫖↰⪸-1515=NaN","layer":2},{"info":"⫖↰⪸347A⋫=⫖↰⪸347A","layer":3},{"info":"⫖↰⪸347A⩠=⫖↰⪸0","layer":2},{"info":"NaN⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1684⩨⫖↰⪸2544=⫖↰⪸-3","layer":3},{"info":"-⫖↰⪸-3=⫖↰⪸3","layer":2},{"info":"⫖↰⪸3≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸57⊴⫖↰⪸0=⫖↰⪸-67","layer":0}]}
{"id":348,"expression_no_base_symbol":"⨈⫕(($6581$⇷$1983$⪄$3836$∀⇚≩$1198$)∸)","expression":"⨈⫕((⫖↰⪸3985⇷⫖↰⪸1193⪄⫖↰⪸2278∀⇚≩⫖↰⪸83A)∸)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":119649,"operation_count":5,"complexity_ratio":23929.8,"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":6581,"base":12},"right_expr":{"type":"numeric_atoms","value":1983,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3836,"base":12},"right_expr":{"type":"numeric_atoms","value":1198,"base":12}}}}},"used_operators":["megm06wKyl","o20kRiQErp","SUmda5xLS4","mp7IySMOzn","LRNGc0VcxI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6581","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=6581, right_input=1983, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3966","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=1198, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3966, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, 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":"⨈⫕((⫖↰⪸3985⇷⫖↰⪸1193⪄⫖↰⪸2278∀⇚≩⫖↰⪸83A)∸)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕((⫖↰⪸3985⇷⫖↰⪸1193⪄⫖↰⪸2278∀⇚≩⫖↰⪸83A)∸)","cot":[{"info":"⫖↰⪸3985⇷⫖↰⪸1193=⫖↰⪸2366","layer":3},{"info":"⫖↰⪸2278∀⇚≩⫖↰⪸83A=NaN","layer":3},{"info":"⫖↰⪸2366⪄NaN=NaN","layer":2},{"info":"NaN∸=⫖↰⪸129","layer":1},{"info":"⨈⫕⫖↰⪸129=⫖↰⪸-19","layer":0}]}
{"id":349,"expression_no_base_symbol":"((≉$1395$≎⊠⪸$1185$)⋥≓≎(($1286$↙$1702$)⇋≉))⪮%⊝((($5019$⨵⪆$3276$)⊭↱$1023$⪘⫢$2960$)≭(($4389$⊪)⇼⇔∾$2428$⨎$2326$))","expression":"((≉⫖↰⪸983≎⊠⪸⫖↰⪸829)⋥≓≎((⫖↰⪸8B2↙⫖↰⪸B9A)⇋≉))⪮%⊝(((⫖↰⪸2AA3⨵⪆⫖↰⪸1A90)⊭↱⫖↰⪸713⪘⫢⫖↰⪸1868)≭((⫖↰⪸2659⊪)⇼⇔∾⫖↰⪸14A4⨎⫖↰⪸141A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2052,"operation_count":13,"complexity_ratio":157.84615384615384,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1395,"base":12},"right_expr":{"type":"numeric_atoms","value":1185,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1286,"base":12},"right_expr":{"type":"numeric_atoms","value":1702,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5019,"base":12},"right_expr":{"type":"numeric_atoms","value":3276,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1023,"base":12},"right_expr":{"type":"numeric_atoms","value":2960,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4389,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2428,"base":12},"right_expr":{"type":"numeric_atoms","value":2326,"base":12}}}}},"used_operators":["IWmyXbctLI","Qy55tPpLXF","e1ybzncUwg","bJkvcejdHO","XIabStNQrY","yyfyN0ffXY","rxpJgHHUmx","COABgblf1C","2DQ55sFlQl","oacrs7FA3X","tifHPKVTfV","zVYPLywUTj","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1395","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=1185, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=360832","layer":3},{"info":"compute unary expreesion, input=360832, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=361363","layer":2},{"info":"number node, value=1286","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1702, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5106","layer":3},{"info":"compute unary expreesion, input=-5106, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-10310","layer":2},{"info":"compute binary expreesion, left_input=361363, right_input=-10310, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-381950","layer":1},{"info":"number node, value=5019","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=5019, right_input=3276, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2960, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1922","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1922, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3529","layer":2},{"info":"number node, value=4389","layer":4},{"info":"compute unary expreesion, input=4389, 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=2428","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=2326, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2326","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2326, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2326","layer":2},{"info":"compute binary expreesion, left_input=3529, right_input=2326, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-381950, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸983≎⊠⪸⫖↰⪸829)⋥≓≎((⫖↰⪸8B2↙⫖↰⪸B9A)⇋≉))⪮%⊝(((⫖↰⪸2AA3⨵⪆⫖↰⪸1A90)⊭↱⫖↰⪸713⪘⫢⫖↰⪸1868)≭((⫖↰⪸2659⊪)⇼⇔∾⫖↰⪸14A4⨎⫖↰⪸141A))=NaN","reverse_text":"NaN=((≉⫖↰⪸983≎⊠⪸⫖↰⪸829)⋥≓≎((⫖↰⪸8B2↙⫖↰⪸B9A)⇋≉))⪮%⊝(((⫖↰⪸2AA3⨵⪆⫖↰⪸1A90)⊭↱⫖↰⪸713⪘⫢⫖↰⪸1868)≭((⫖↰⪸2659⊪)⇼⇔∾⫖↰⪸14A4⨎⫖↰⪸141A))","cot":[{"info":"⫖↰⪸983≎⊠⪸⫖↰⪸829=⫖↰⪸154994","layer":3},{"info":"≉⫖↰⪸154994=⫖↰⪸155157","layer":2},{"info":"⫖↰⪸8B2↙⫖↰⪸B9A=⫖↰⪸-2B56","layer":3},{"info":"⫖↰⪸-2B56⇋≉=⫖↰⪸-5B72","layer":2},{"info":"⫖↰⪸155157⋥≓≎⫖↰⪸-5B72=⫖↰⪸-165052","layer":1},{"info":"⫖↰⪸2AA3⨵⪆⫖↰⪸1A90=⫖↰⪸114","layer":3},{"info":"⫖↰⪸713⪘⫢⫖↰⪸1868=⫖↰⪸1142","layer":3},{"info":"⫖↰⪸114⊭↱⫖↰⪸1142=⫖↰⪸2061","layer":2},{"info":"⫖↰⪸2659⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸14A4⨎⫖↰⪸141A=⫖↰⪸141A","layer":3},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸141A=⫖↰⪸141A","layer":2},{"info":"⫖↰⪸2061≭⫖↰⪸141A=NaN","layer":1},{"info":"⫖↰⪸-165052⪮%⊝NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"(↩(⨞⊢$1947$))⇷($1034$⨓$2224$⨎(≤/$1190$))⊉≛↸((⋗⩬⋾(⪲⇎$3317$))⪨≂($1993$⪒$3600$)-$1856$⨳⩥⨓$1062$)","expression":"(↩(⨞⊢⫖↰⪸1163))⇷(⫖↰⪸722⨓⫖↰⪸1354⨎(≤/⫖↰⪸832))⊉≛↸((⋗⩬⋾(⪲⇎⫖↰⪸1B05))⪨≂(⫖↰⪸11A1⪒⫖↰⪸2100)-⫖↰⪸10A8⨳⩥⨓⫖↰⪸746)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":157737,"operation_count":13,"complexity_ratio":12133.615384615385,"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":1947,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1034,"base":12},"right_expr":{"type":"numeric_atoms","value":2224,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1190,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3317,"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":3600,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1856,"base":12},"right_expr":{"type":"numeric_atoms","value":1062,"base":12}}}}},"used_operators":["DZ8iAZOCBD","mp7IySMOzn","jLgFTUHLKL","xUOZtlo3hN","rJVOvQCfKK","3ViojmjbAp","eLAdDNolq6","sdazOOVcIp","DpFCA1CohY","XPYlsWDdGa","rysDP5nf3Z","f6k1SAg4EE","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1947","layer":4},{"info":"compute unary expreesion, input=1947, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2121","layer":3},{"info":"compute unary expreesion, input=-2121, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=11104","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2224, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2227","layer":3},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-706","layer":3},{"info":"compute binary expreesion, left_input=-2227, right_input=-706, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-706","layer":2},{"info":"compute binary expreesion, left_input=11104, right_input=-706, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=3317","layer":4},{"info":"compute unary expreesion, input=3317, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6634","layer":3},{"info":"compute unary expreesion, input=6634, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19902","layer":2},{"info":"number node, value=1993","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=3600, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5593","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=1062, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-794","layer":3},{"info":"compute binary expreesion, left_input=-5593, right_input=-794, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4799","layer":2},{"info":"compute binary expreesion, left_input=-19902, right_input=-4799, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-30104","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-30104, 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":"(↩(⨞⊢⫖↰⪸1163))⇷(⫖↰⪸722⨓⫖↰⪸1354⨎(≤/⫖↰⪸832))⊉≛↸((⋗⩬⋾(⪲⇎⫖↰⪸1B05))⪨≂(⫖↰⪸11A1⪒⫖↰⪸2100)-⫖↰⪸10A8⨳⩥⨓⫖↰⪸746)=NaN","reverse_text":"NaN=(↩(⨞⊢⫖↰⪸1163))⇷(⫖↰⪸722⨓⫖↰⪸1354⨎(≤/⫖↰⪸832))⊉≛↸((⋗⩬⋾(⪲⇎⫖↰⪸1B05))⪨≂(⫖↰⪸11A1⪒⫖↰⪸2100)-⫖↰⪸10A8⨳⩥⨓⫖↰⪸746)","cot":[{"info":"⨞⊢⫖↰⪸1163=⫖↰⪸-1289","layer":3},{"info":"↩⫖↰⪸-1289=⫖↰⪸6514","layer":2},{"info":"⫖↰⪸722⨓⫖↰⪸1354=⫖↰⪸-1357","layer":3},{"info":"≤/⫖↰⪸832=⫖↰⪸-4AA","layer":3},{"info":"⫖↰⪸-1357⨎⫖↰⪸-4AA=⫖↰⪸-4AA","layer":2},{"info":"⫖↰⪸6514⇷⫖↰⪸-4AA=NaN","layer":1},{"info":"⪲⇎⫖↰⪸1B05=⫖↰⪸3A0A","layer":3},{"info":"⋗⩬⋾⫖↰⪸3A0A=⫖↰⪸-B626","layer":2},{"info":"⫖↰⪸11A1⪒⫖↰⪸2100=⫖↰⪸-32A1","layer":3},{"info":"⫖↰⪸10A8⨳⩥⨓⫖↰⪸746=⫖↰⪸-562","layer":3},{"info":"⫖↰⪸-32A1-⫖↰⪸-562=⫖↰⪸-293B","layer":2},{"info":"⫖↰⪸-B626⪨≂⫖↰⪸-293B=⫖↰⪸-15508","layer":1},{"info":"NaN⊉≛↸⫖↰⪸-15508=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"(($1096$↺$4087$)⨪↰⇹($1190$⨎$1330$)⩚⊴⇥($2775$⫌⩹⨱)∼($4133$%$1213$))⪮%⊝(($2202$⨎$1645$)⩷∴($8102$⋓$2862$)⪄((↽≂$3449$)⪒$3381$⪘⫢$2852$))","expression":"((⫖↰⪸774↺⫖↰⪸2447)⨪↰⇹(⫖↰⪸832⨎⫖↰⪸92A)⩚⊴⇥(⫖↰⪸1733⫌⩹⨱)∼(⫖↰⪸2485%⫖↰⪸851))⪮%⊝((⫖↰⪸1336⨎⫖↰⪸B51)⩷∴(⫖↰⪸4832⋓⫖↰⪸17A6)⪄((↽≂⫖↰⪸1BB5)⪒⫖↰⪸1B59⪘⫢⫖↰⪸1798))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6380,"operation_count":15,"complexity_ratio":425.3333333333333,"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":1096,"base":12},"right_expr":{"type":"numeric_atoms","value":4087,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1190,"base":12},"right_expr":{"type":"numeric_atoms","value":1330,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2775,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4133,"base":12},"right_expr":{"type":"numeric_atoms","value":1213,"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":1645,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8102,"base":12},"right_expr":{"type":"numeric_atoms","value":2862,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3449,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3381,"base":12},"right_expr":{"type":"numeric_atoms","value":2852,"base":12}}}}},"used_operators":["IWmyXbctLI","NTOWxs364D","tmPS8pqC7x","7j4O788W3g","rJVOvQCfKK","DyGG3AbaNP","EBcxylXtPf","k8jYdgA6NY","SUmda5xLS4","9FxExcQeMw","T2fj7uvVaJ","f6k1SAg4EE","u6S6b8DprG","oacrs7FA3X"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸-4830","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=1096, 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":"number node, value=1190","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1330, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1330","layer":3},{"info":"compute binary expreesion, left_input=4087, right_input=1330, 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=4087","layer":2},{"info":"number node, value=2775","layer":4},{"info":"compute unary expreesion, input=2775, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6951","layer":3},{"info":"number node, value=4133","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=1213, op_id = k8jYdgA6NY binary_op_definition= 'None', output=494","layer":3},{"info":"compute binary expreesion, left_input=6951, right_input=494, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4087, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4208","layer":1},{"info":"number node, value=2202","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=1645, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1645","layer":3},{"info":"number node, value=8102","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=8102, right_input=2862, 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=1645, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3258","layer":2},{"info":"number node, value=3449","layer":4},{"info":"compute unary expreesion, input=3449, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6898","layer":3},{"info":"number node, value=3381","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=2852, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6638","layer":3},{"info":"compute binary expreesion, left_input=-6898, right_input=6638, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=260","layer":2},{"info":"compute binary expreesion, left_input=3258, right_input=260, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-479313","layer":1},{"info":"compute binary expreesion, left_input=-4208, right_input=-479313, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8100","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸774↺⫖↰⪸2447)⨪↰⇹(⫖↰⪸832⨎⫖↰⪸92A)⩚⊴⇥(⫖↰⪸1733⫌⩹⨱)∼(⫖↰⪸2485%⫖↰⪸851))⪮%⊝((⫖↰⪸1336⨎⫖↰⪸B51)⩷∴(⫖↰⪸4832⋓⫖↰⪸17A6)⪄((↽≂⫖↰⪸1BB5)⪒⫖↰⪸1B59⪘⫢⫖↰⪸1798))=⫖↰⪸-4830","reverse_text":"⫖↰⪸-4830=((⫖↰⪸774↺⫖↰⪸2447)⨪↰⇹(⫖↰⪸832⨎⫖↰⪸92A)⩚⊴⇥(⫖↰⪸1733⫌⩹⨱)∼(⫖↰⪸2485%⫖↰⪸851))⪮%⊝((⫖↰⪸1336⨎⫖↰⪸B51)⩷∴(⫖↰⪸4832⋓⫖↰⪸17A6)⪄((↽≂⫖↰⪸1BB5)⪒⫖↰⪸1B59⪘⫢⫖↰⪸1798))","cot":[{"info":"⫖↰⪸774↺⫖↰⪸2447=⫖↰⪸2447","layer":3},{"info":"⫖↰⪸832⨎⫖↰⪸92A=⫖↰⪸92A","layer":3},{"info":"⫖↰⪸2447⨪↰⇹⫖↰⪸92A=⫖↰⪸2447","layer":2},{"info":"⫖↰⪸1733⫌⩹⨱=⫖↰⪸4033","layer":3},{"info":"⫖↰⪸2485%⫖↰⪸851=⫖↰⪸352","layer":3},{"info":"⫖↰⪸4033∼⫖↰⪸352=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2447⩚⊴⇥⫖↰⪸0=⫖↰⪸-2528","layer":1},{"info":"⫖↰⪸1336⨎⫖↰⪸B51=⫖↰⪸B51","layer":3},{"info":"⫖↰⪸4832⋓⫖↰⪸17A6=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B51⩷∴⫖↰⪸0=⫖↰⪸1A76","layer":2},{"info":"↽≂⫖↰⪸1BB5=⫖↰⪸-3BAA","layer":3},{"info":"⫖↰⪸1B59⪘⫢⫖↰⪸1798=⫖↰⪸3A12","layer":3},{"info":"⫖↰⪸-3BAA⪒⫖↰⪸3A12=⫖↰⪸198","layer":2},{"info":"⫖↰⪸1A76⪄⫖↰⪸198=⫖↰⪸-1B1469","layer":1},{"info":"⫖↰⪸-2528⪮%⊝⫖↰⪸-1B1469=⫖↰⪸-4830","layer":0}]}
{"id":352,"expression_no_base_symbol":"((+⊝⨔$6951$)≎⊠⪸($2727$⨎$2641$)⨐⩸⫘$6225$⨟⋌⩍$1453$⫥∨⫟(≉$5223$))↬(($8707$∀⇚≩$1098$/$1255$-$1277$)⋥≓≎(↣≠⋷$9320$)⪛($5363$∼$1288$))","expression":"((+⊝⨔⫖↰⪸4033)≎⊠⪸(⫖↰⪸16B3⨎⫖↰⪸1641)⨐⩸⫘⫖↰⪸3729⨟⋌⩍⫖↰⪸A11⫥∨⫟(≉⫖↰⪸3033))↬((⫖↰⪸5057∀⇚≩⫖↰⪸776/⫖↰⪸887-⫖↰⪸8A5)⋥≓≎(↣≠⋷⫖↰⪸5488)⪛(⫖↰⪸312B∼⫖↰⪸8B4))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61537,"operation_count":15,"complexity_ratio":4102.466666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6951,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2727,"base":12},"right_expr":{"type":"numeric_atoms","value":2641,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6225,"base":12},"right_expr":{"type":"numeric_atoms","value":1453,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5223,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8707,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1255,"base":12},"right_expr":{"type":"numeric_atoms","value":1277,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":9320,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5363,"base":12},"right_expr":{"type":"numeric_atoms","value":1288,"base":12}}}}},"used_operators":["B5M0gjZbta","fu6greOZ01","bJkvcejdHO","DhbWaqg5eL","rJVOvQCfKK","KYD54nUTWz","rGHVDoGpnC","e1ybzncUwg","Qy55tPpLXF","XhwjNDsVaA","LRNGc0VcxI","rysDP5nf3Z","uFcxV4UQCh","Asc51vEJeQ","DyGG3AbaNP"],"dependent_operators":["rGHVDoGpnC","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6951","layer":4},{"info":"compute unary expreesion, input=6951, 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=2727","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=2641, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2641","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2641, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=393725","layer":2},{"info":"number node, value=6225","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=6225, right_input=1453, 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=5223","layer":4},{"info":"compute unary expreesion, input=5223, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5754","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5754, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=393725, 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=8707","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=8707, right_input=1098, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1255","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1277, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=9320","layer":4},{"info":"compute unary expreesion, input=9320, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5363","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=5363, right_input=1288, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"((+⊝⨔⫖↰⪸4033)≎⊠⪸(⫖↰⪸16B3⨎⫖↰⪸1641)⨐⩸⫘⫖↰⪸3729⨟⋌⩍⫖↰⪸A11⫥∨⫟(≉⫖↰⪸3033))↬((⫖↰⪸5057∀⇚≩⫖↰⪸776/⫖↰⪸887-⫖↰⪸8A5)⋥≓≎(↣≠⋷⫖↰⪸5488)⪛(⫖↰⪸312B∼⫖↰⪸8B4))=NaN","reverse_text":"NaN=((+⊝⨔⫖↰⪸4033)≎⊠⪸(⫖↰⪸16B3⨎⫖↰⪸1641)⨐⩸⫘⫖↰⪸3729⨟⋌⩍⫖↰⪸A11⫥∨⫟(≉⫖↰⪸3033))↬((⫖↰⪸5057∀⇚≩⫖↰⪸776/⫖↰⪸887-⫖↰⪸8A5)⋥≓≎(↣≠⋷⫖↰⪸5488)⪛(⫖↰⪸312B∼⫖↰⪸8B4))","cot":[{"info":"+⊝⨔⫖↰⪸4033=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸16B3⨎⫖↰⪸1641=⫖↰⪸1641","layer":3},{"info":"⫖↰⪸A6A≎⊠⪸⫖↰⪸1641=⫖↰⪸16BA25","layer":2},{"info":"⫖↰⪸3729⨟⋌⩍⫖↰⪸A11=NaN","layer":3},{"info":"≉⫖↰⪸3033=⫖↰⪸33B6","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸33B6=NaN","layer":2},{"info":"⫖↰⪸16BA25⨐⩸⫘NaN=NaN","layer":1},{"info":"⫖↰⪸5057∀⇚≩⫖↰⪸776=NaN","layer":3},{"info":"⫖↰⪸887-⫖↰⪸8A5=⫖↰⪸-1A","layer":3},{"info":"NaN/⫖↰⪸-1A=NaN","layer":2},{"info":"↣≠⋷⫖↰⪸5488=NaN","layer":3},{"info":"⫖↰⪸312B∼⫖↰⪸8B4=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":1},{"info":"NaN↬⫖↰⪸57=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"((⪲⇎(≦∁$1938$))⋷($2157$∑⇟⊟$2924$)⇷($5629$⋷$5273$))⨪↰⇹(($7425$+$5684$)↺$1231$⨟⋌⩍$3767$⋷(⪲⇎$3931$)⊉≛↸($7294$≫≃))","expression":"((⪲⇎(≦∁⫖↰⪸1156))⋷(⫖↰⪸12B9∑⇟⊟⫖↰⪸1838)⇷(⫖↰⪸3311⋷⫖↰⪸3075))⨪↰⇹((⫖↰⪸4369+⫖↰⪸3358)↺⫖↰⪸867⨟⋌⩍⫖↰⪸221B⋷(⪲⇎⫖↰⪸2337)⊉≛↸(⫖↰⪸427A≫≃))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15826,"operation_count":14,"complexity_ratio":1130.4285714285713,"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":1938,"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":2924,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5629,"base":12},"right_expr":{"type":"numeric_atoms","value":5273,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7425,"base":12},"right_expr":{"type":"numeric_atoms","value":5684,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":3767,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3931,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7294,"base":12}}}}},"used_operators":["tmPS8pqC7x","23Mk6UjR3U","XPYlsWDdGa","9ICcGScMcE","mp7IySMOzn","U7g4x0WXJJ","7j4O788W3g","W4YGzv6Whe","rGHVDoGpnC","DZ8iAZOCBD","X99M06cbEe"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸9180","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"compute unary expreesion, input=1938, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1938","layer":3},{"info":"compute unary expreesion, input=1938, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3876","layer":2},{"info":"number node, value=2157","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=2924, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5629","layer":4},{"info":"number node, value=5273","layer":4},{"info":"compute binary expreesion, left_input=5629, right_input=5273, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4917","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4917, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9834","layer":2},{"info":"compute binary expreesion, left_input=3876, right_input=9834, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15792","layer":1},{"info":"number node, value=7425","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=7425, right_input=5684, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13109","layer":3},{"info":"number node, value=1231","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=3767, 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=13109, 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=3931","layer":4},{"info":"compute unary expreesion, input=3931, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7862","layer":3},{"info":"number node, value=7294","layer":4},{"info":"compute unary expreesion, input=7294, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15989","layer":3},{"info":"compute binary expreesion, left_input=7862, right_input=15989, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15724","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15724, 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=15792, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=15792","layer":0}],"base":12,"result_base":12,"text":"((⪲⇎(≦∁⫖↰⪸1156))⋷(⫖↰⪸12B9∑⇟⊟⫖↰⪸1838)⇷(⫖↰⪸3311⋷⫖↰⪸3075))⨪↰⇹((⫖↰⪸4369+⫖↰⪸3358)↺⫖↰⪸867⨟⋌⩍⫖↰⪸221B⋷(⪲⇎⫖↰⪸2337)⊉≛↸(⫖↰⪸427A≫≃))=⫖↰⪸9180","reverse_text":"⫖↰⪸9180=((⪲⇎(≦∁⫖↰⪸1156))⋷(⫖↰⪸12B9∑⇟⊟⫖↰⪸1838)⇷(⫖↰⪸3311⋷⫖↰⪸3075))⨪↰⇹((⫖↰⪸4369+⫖↰⪸3358)↺⫖↰⪸867⨟⋌⩍⫖↰⪸221B⋷(⪲⇎⫖↰⪸2337)⊉≛↸(⫖↰⪸427A≫≃))","cot":[{"info":"≦∁⫖↰⪸1156=⫖↰⪸1156","layer":3},{"info":"⪲⇎⫖↰⪸1156=⫖↰⪸22B0","layer":2},{"info":"⫖↰⪸12B9∑⇟⊟⫖↰⪸1838=NaN","layer":3},{"info":"⫖↰⪸3311⋷⫖↰⪸3075=⫖↰⪸2A19","layer":3},{"info":"NaN⇷⫖↰⪸2A19=⫖↰⪸5836","layer":2},{"info":"⫖↰⪸22B0⋷⫖↰⪸5836=⫖↰⪸9180","layer":1},{"info":"⫖↰⪸4369+⫖↰⪸3358=⫖↰⪸7705","layer":3},{"info":"⫖↰⪸867⨟⋌⩍⫖↰⪸221B=NaN","layer":3},{"info":"⫖↰⪸7705↺NaN=NaN","layer":2},{"info":"⪲⇎⫖↰⪸2337=⫖↰⪸4672","layer":3},{"info":"⫖↰⪸427A≫≃=⫖↰⪸9305","layer":3},{"info":"⫖↰⪸4672⊉≛↸⫖↰⪸9305=⫖↰⪸9124","layer":2},{"info":"NaN⋷⫖↰⪸9124=NaN","layer":1},{"info":"⫖↰⪸9180⨪↰⇹NaN=⫖↰⪸9180","layer":0}]}
{"id":354,"expression_no_base_symbol":"(⨰⫟⨤(⋗⩬⋾$4695$))+⇶⊼(($6395$⪒$6995$)⪄$1119$⋓$1288$)↙(($3310$⩷∴$3894$⫩⊇)⪒(⨈⫕(≉$1541$)))","expression":"(⨰⫟⨤(⋗⩬⋾⫖↰⪸2873))+⇶⊼((⫖↰⪸384B⪒⫖↰⪸406B)⪄⫖↰⪸793⋓⫖↰⪸8B4)↙((⫖↰⪸1ABA⩷∴⫖↰⪸2306⫩⊇)⪒(⨈⫕(≉⫖↰⪸A85)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":57745,"operation_count":12,"complexity_ratio":4812.083333333333,"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":4695,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6395,"base":12},"right_expr":{"type":"numeric_atoms","value":6995,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1119,"base":12},"right_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":3310,"base":12},"right_expr":{"type":"numeric_atoms","value":3894,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1541,"base":12}}}}},"used_operators":["yyfyN0ffXY","TpPTUOHfaN","Tw270M8GLb","DpFCA1CohY","SUmda5xLS4","f6k1SAg4EE","T2fj7uvVaJ","BjRHVeLaeN","9FxExcQeMw","megm06wKyl","e1ybzncUwg"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4695","layer":4},{"info":"compute unary expreesion, input=4695, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14085","layer":3},{"info":"compute unary expreesion, input=-14085, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=6395","layer":4},{"info":"number node, value=6995","layer":4},{"info":"compute binary expreesion, left_input=6395, right_input=6995, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13390","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1288, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13390, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, 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=3310","layer":4},{"info":"number node, value=3894","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=3894, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1200","layer":3},{"info":"compute unary expreesion, input=-1200, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=1242","layer":2},{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2072","layer":3},{"info":"compute unary expreesion, input=2072, 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=1242, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1221","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1221, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤(⋗⩬⋾⫖↰⪸2873))+⇶⊼((⫖↰⪸384B⪒⫖↰⪸406B)⪄⫖↰⪸793⋓⫖↰⪸8B4)↙((⫖↰⪸1ABA⩷∴⫖↰⪸2306⫩⊇)⪒(⨈⫕(≉⫖↰⪸A85)))=NaN","reverse_text":"NaN=(⨰⫟⨤(⋗⩬⋾⫖↰⪸2873))+⇶⊼((⫖↰⪸384B⪒⫖↰⪸406B)⪄⫖↰⪸793⋓⫖↰⪸8B4)↙((⫖↰⪸1ABA⩷∴⫖↰⪸2306⫩⊇)⪒(⨈⫕(≉⫖↰⪸A85)))","cot":[{"info":"⋗⩬⋾⫖↰⪸2873=⫖↰⪸-8199","layer":3},{"info":"⨰⫟⨤⫖↰⪸-8199=NaN","layer":2},{"info":"⫖↰⪸384B⪒⫖↰⪸406B=⫖↰⪸-78BA","layer":3},{"info":"⫖↰⪸793⋓⫖↰⪸8B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-78BA⪄⫖↰⪸0=⫖↰⪸2377","layer":2},{"info":"NaN+⇶⊼⫖↰⪸2377=NaN","layer":1},{"info":"⫖↰⪸1ABA⩷∴⫖↰⪸2306=⫖↰⪸-840","layer":3},{"info":"⫖↰⪸-840⫩⊇=⫖↰⪸876","layer":2},{"info":"≉⫖↰⪸A85=⫖↰⪸1248","layer":3},{"info":"⨈⫕⫖↰⪸1248=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸876⪒⫖↰⪸-19=⫖↰⪸-859","layer":1},{"info":"NaN↙⫖↰⪸-859=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"(⨵≀≌($1994$⫥∨⫟$6896$)⊴($6531$⪒$5277$))⇷(($2550$⋥≓≎$1122$⇼⇔∾$2063$⇷$7127$)⩷∴($5009$⪄$8212$%$2829$⪒$1912$))","expression":"(⨵≀≌(⫖↰⪸11A2⫥∨⫟⫖↰⪸3BA8)⊴(⫖↰⪸3943⪒⫖↰⪸3079))⇷((⫖↰⪸1586⋥≓≎⫖↰⪸796⇼⇔∾⫖↰⪸123B⇷⫖↰⪸415B)⩷∴(⫖↰⪸2A95⪄⫖↰⪸4904%⫖↰⪸1779⪒⫖↰⪸1134))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41141,"operation_count":12,"complexity_ratio":3428.4166666666665,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1994,"base":12},"right_expr":{"type":"numeric_atoms","value":6896,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6531,"base":12},"right_expr":{"type":"numeric_atoms","value":5277,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2550,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2063,"base":12},"right_expr":{"type":"numeric_atoms","value":7127,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5009,"base":12},"right_expr":{"type":"numeric_atoms","value":8212,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2829,"base":12},"right_expr":{"type":"numeric_atoms","value":1912,"base":12}}}}},"used_operators":["mp7IySMOzn","srAu1WTS94","Nsiff2A1zJ","KYD54nUTWz","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","Qy55tPpLXF","k8jYdgA6NY","SUmda5xLS4"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸328B4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1994","layer":4},{"info":"number node, value=6896","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=6896, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6531","layer":4},{"info":"number node, value=5277","layer":4},{"info":"compute binary expreesion, left_input=6531, right_input=5277, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11808","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11808, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=2550","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=1122, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-273","layer":3},{"info":"number node, value=2063","layer":4},{"info":"number node, value=7127","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=7127, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14254","layer":3},{"info":"compute binary expreesion, left_input=-273, right_input=14254, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=14527","layer":2},{"info":"number node, value=5009","layer":4},{"info":"number node, value=8212","layer":4},{"info":"compute binary expreesion, left_input=5009, right_input=8212, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-770269","layer":3},{"info":"number node, value=2829","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=1912, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4741","layer":3},{"info":"compute binary expreesion, left_input=-770269, right_input=-4741, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2227","layer":2},{"info":"compute binary expreesion, left_input=14527, right_input=-2227, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=33476","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=33476, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=66952","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌(⫖↰⪸11A2⫥∨⫟⫖↰⪸3BA8)⊴(⫖↰⪸3943⪒⫖↰⪸3079))⇷((⫖↰⪸1586⋥≓≎⫖↰⪸796⇼⇔∾⫖↰⪸123B⇷⫖↰⪸415B)⩷∴(⫖↰⪸2A95⪄⫖↰⪸4904%⫖↰⪸1779⪒⫖↰⪸1134))=⫖↰⪸328B4","reverse_text":"⫖↰⪸328B4=(⨵≀≌(⫖↰⪸11A2⫥∨⫟⫖↰⪸3BA8)⊴(⫖↰⪸3943⪒⫖↰⪸3079))⇷((⫖↰⪸1586⋥≓≎⫖↰⪸796⇼⇔∾⫖↰⪸123B⇷⫖↰⪸415B)⩷∴(⫖↰⪸2A95⪄⫖↰⪸4904%⫖↰⪸1779⪒⫖↰⪸1134))","cot":[{"info":"⫖↰⪸11A2⫥∨⫟⫖↰⪸3BA8=NaN","layer":3},{"info":"⫖↰⪸3943⪒⫖↰⪸3079=⫖↰⪸-6A00","layer":3},{"info":"NaN⊴⫖↰⪸-6A00=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⫖↰⪸1586⋥≓≎⫖↰⪸796=⫖↰⪸-1A9","layer":3},{"info":"⫖↰⪸123B⇷⫖↰⪸415B=⫖↰⪸82BA","layer":3},{"info":"⫖↰⪸-1A9⇼⇔∾⫖↰⪸82BA=⫖↰⪸84A7","layer":2},{"info":"⫖↰⪸2A95⪄⫖↰⪸4904=⫖↰⪸-311911","layer":3},{"info":"⫖↰⪸1779⪒⫖↰⪸1134=⫖↰⪸-28B1","layer":3},{"info":"⫖↰⪸-311911%⫖↰⪸-28B1=⫖↰⪸-1357","layer":2},{"info":"⫖↰⪸84A7⩷∴⫖↰⪸-1357=⫖↰⪸17458","layer":1},{"info":"NaN⇷⫖↰⪸17458=⫖↰⪸328B4","layer":0}]}
{"id":356,"expression_no_base_symbol":"(($4583$⨰$3007$+(⪲⇎$1001$))-$6010$⪘⫢$7244$⨐⩸⫘(⨰⫟⨤$8281$))⋥≓≎(($4064$↙$7655$⪄($3096$⪠⩆⊳))↺$3611$⪢$4708$⫥∨⫟(↥$3165$))","expression":"((⫖↰⪸279B⨰⫖↰⪸18A7+(⪲⇎⫖↰⪸6B5))-⫖↰⪸358A⪘⫢⫖↰⪸4238⨐⩸⫘(⨰⫟⨤⫖↰⪸4961))⋥≓≎((⫖↰⪸2428↙⫖↰⪸451B⪄(⫖↰⪸1960⪠⩆⊳))↺⫖↰⪸210B⪢⫖↰⪸2884⫥∨⫟(↥⫖↰⪸19B9))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44995,"operation_count":15,"complexity_ratio":2999.6666666666665,"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":4583,"base":12},"right_expr":{"type":"numeric_atoms","value":3007,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1001,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6010,"base":12},"right_expr":{"type":"numeric_atoms","value":7244,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8281,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4064,"base":12},"right_expr":{"type":"numeric_atoms","value":7655,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3096,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3611,"base":12},"right_expr":{"type":"numeric_atoms","value":4708,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3165,"base":12}}}}},"used_operators":["Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","eewbuw0ToL","XPYlsWDdGa","fu6greOZ01","oacrs7FA3X","Tw270M8GLb","7j4O788W3g","SUmda5xLS4","yyfyN0ffXY","JLbD19bQDL","KYD54nUTWz","dWAJyo7jo9","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","k8jYdgA6NY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4583","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=3007, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1586","layer":3},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=1586, right_input=2002, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3588","layer":2},{"info":"number node, value=6010","layer":4},{"info":"number node, value=7244","layer":4},{"info":"compute binary expreesion, left_input=6010, right_input=7244, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11896","layer":3},{"info":"number node, value=8281","layer":4},{"info":"compute unary expreesion, input=8281, 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=11896, 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=3588, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4064","layer":4},{"info":"number node, value=7655","layer":4},{"info":"compute binary expreesion, left_input=4064, right_input=7655, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22965","layer":3},{"info":"number node, value=3096","layer":4},{"info":"compute unary expreesion, input=3096, 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=-22965, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=3611","layer":4},{"info":"number node, value=4708","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=4708, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=3165","layer":4},{"info":"compute unary expreesion, input=3165, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸279B⨰⫖↰⪸18A7+(⪲⇎⫖↰⪸6B5))-⫖↰⪸358A⪘⫢⫖↰⪸4238⨐⩸⫘(⨰⫟⨤⫖↰⪸4961))⋥≓≎((⫖↰⪸2428↙⫖↰⪸451B⪄(⫖↰⪸1960⪠⩆⊳))↺⫖↰⪸210B⪢⫖↰⪸2884⫥∨⫟(↥⫖↰⪸19B9))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸279B⨰⫖↰⪸18A7+(⪲⇎⫖↰⪸6B5))-⫖↰⪸358A⪘⫢⫖↰⪸4238⨐⩸⫘(⨰⫟⨤⫖↰⪸4961))⋥≓≎((⫖↰⪸2428↙⫖↰⪸451B⪄(⫖↰⪸1960⪠⩆⊳))↺⫖↰⪸210B⪢⫖↰⪸2884⫥∨⫟(↥⫖↰⪸19B9))","cot":[{"info":"⫖↰⪸279B⨰⫖↰⪸18A7=⫖↰⪸B02","layer":3},{"info":"⪲⇎⫖↰⪸6B5=⫖↰⪸11AA","layer":3},{"info":"⫖↰⪸B02+⫖↰⪸11AA=⫖↰⪸20B0","layer":2},{"info":"⫖↰⪸358A⪘⫢⫖↰⪸4238=⫖↰⪸6A74","layer":3},{"info":"⨰⫟⨤⫖↰⪸4961=NaN","layer":3},{"info":"⫖↰⪸6A74⨐⩸⫘NaN=NaN","layer":2},{"info":"⫖↰⪸20B0-NaN=NaN","layer":1},{"info":"⫖↰⪸2428↙⫖↰⪸451B=⫖↰⪸-11359","layer":3},{"info":"⫖↰⪸1960⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-11359⪄⫖↰⪸0=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸210B⪢⫖↰⪸2884=NaN","layer":3},{"info":"↥⫖↰⪸19B9=⫖↰⪸3","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸3=NaN","layer":2},{"info":"⫖↰⪸2377↺NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":357,"expression_no_base_symbol":"(($4340$↙$6812$)⨓($7754$⋥≓≎$1100$)-$5303$⪛$1467$∀⇚≩$1233$⪮%⊝$7125$)⫸⊐((⩦⩻⨪$4626$)↙($1460$+$5737$)⊭↱($1654$⊭↱$4537$)↬($1968$∸))","expression":"((⫖↰⪸2618↙⫖↰⪸3B38)⨓(⫖↰⪸45A2⋥≓≎⫖↰⪸778)-⫖↰⪸309B⪛⫖↰⪸A23∀⇚≩⫖↰⪸869⪮%⊝⫖↰⪸4159)⫸⊐((⩦⩻⨪⫖↰⪸2816)↙(⫖↰⪸A18+⫖↰⪸33A1)⊭↱(⫖↰⪸B5A⊭↱⫖↰⪸2761)↬(⫖↰⪸1180∸))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26074,"operation_count":15,"complexity_ratio":1738.2666666666667,"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":4340,"base":12},"right_expr":{"type":"numeric_atoms","value":6812,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7754,"base":12},"right_expr":{"type":"numeric_atoms","value":1100,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5303,"base":12},"right_expr":{"type":"numeric_atoms","value":1467,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1233,"base":12},"right_expr":{"type":"numeric_atoms","value":7125,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4626,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1460,"base":12},"right_expr":{"type":"numeric_atoms","value":5737,"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":4537,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1968,"base":12}}}}},"used_operators":["mqXw5SEYmG","rysDP5nf3Z","3ViojmjbAp","yyfyN0ffXY","Qy55tPpLXF","LRNGc0VcxI","uFcxV4UQCh","IWmyXbctLI","COABgblf1C","2td37pGCOC","W4YGzv6Whe","B5M0gjZbta","o20kRiQErp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4340","layer":4},{"info":"number node, value=6812","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=6812, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20436","layer":3},{"info":"number node, value=7754","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=7754, right_input=1100, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5521","layer":3},{"info":"compute binary expreesion, left_input=-20436, right_input=-5521, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5524","layer":2},{"info":"number node, value=5303","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=1467, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=902","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=7125","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=7125, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2782","layer":3},{"info":"compute binary expreesion, left_input=902, right_input=2782, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-5524, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4626","layer":4},{"info":"compute unary expreesion, input=4626, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4626","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=5737","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=5737, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7197","layer":3},{"info":"compute binary expreesion, left_input=4626, right_input=7197, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21591","layer":2},{"info":"number node, value=1654","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=4537, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5771","layer":3},{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=5771, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21591, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⫖↰⪸2618↙⫖↰⪸3B38)⨓(⫖↰⪸45A2⋥≓≎⫖↰⪸778)-⫖↰⪸309B⪛⫖↰⪸A23∀⇚≩⫖↰⪸869⪮%⊝⫖↰⪸4159)⫸⊐((⩦⩻⨪⫖↰⪸2816)↙(⫖↰⪸A18+⫖↰⪸33A1)⊭↱(⫖↰⪸B5A⊭↱⫖↰⪸2761)↬(⫖↰⪸1180∸))=NaN","reverse_text":"NaN=((⫖↰⪸2618↙⫖↰⪸3B38)⨓(⫖↰⪸45A2⋥≓≎⫖↰⪸778)-⫖↰⪸309B⪛⫖↰⪸A23∀⇚≩⫖↰⪸869⪮%⊝⫖↰⪸4159)⫸⊐((⩦⩻⨪⫖↰⪸2816)↙(⫖↰⪸A18+⫖↰⪸33A1)⊭↱(⫖↰⪸B5A⊭↱⫖↰⪸2761)↬(⫖↰⪸1180∸))","cot":[{"info":"⫖↰⪸2618↙⫖↰⪸3B38=⫖↰⪸-B9B0","layer":3},{"info":"⫖↰⪸45A2⋥≓≎⫖↰⪸778=⫖↰⪸-3241","layer":3},{"info":"⫖↰⪸-B9B0⨓⫖↰⪸-3241=⫖↰⪸-3244","layer":2},{"info":"⫖↰⪸309B⪛⫖↰⪸A23=⫖↰⪸632","layer":3},{"info":"⫖↰⪸869⪮%⊝⫖↰⪸4159=⫖↰⪸173A","layer":3},{"info":"⫖↰⪸632∀⇚≩⫖↰⪸173A=NaN","layer":2},{"info":"⫖↰⪸-3244-NaN=NaN","layer":1},{"info":"⩦⩻⨪⫖↰⪸2816=⫖↰⪸2816","layer":3},{"info":"⫖↰⪸A18+⫖↰⪸33A1=⫖↰⪸41B9","layer":3},{"info":"⫖↰⪸2816↙⫖↰⪸41B9=⫖↰⪸-105B3","layer":2},{"info":"⫖↰⪸B5A⊭↱⫖↰⪸2761=⫖↰⪸340B","layer":3},{"info":"⫖↰⪸1180∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸340B↬⫖↰⪸129=NaN","layer":2},{"info":"⫖↰⪸-105B3⊭↱NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"(($3082$⇷$3329$)⊴($1309$⪨≂$1709$)∲⫓$1154$⩚⊴⇥$1529$⊭↱$1492$⫸⊐$5561$)⊴((↔($1442$⨪↰⇹$3262$))%$1497$≧⫂∧$2033$⨰(⨵≀≌$2002$))","expression":"((⫖↰⪸194A⇷⫖↰⪸1B15)⊴(⫖↰⪸911⪨≂⫖↰⪸BA5)∲⫓⫖↰⪸802⩚⊴⇥⫖↰⪸A75⊭↱⫖↰⪸A44⫸⊐⫖↰⪸3275)⊴((↔(⫖↰⪸A02⨪↰⇹⫖↰⪸1A7A))%⫖↰⪸A49≧⫂∧⫖↰⪸1215⨰(⨵≀≌⫖↰⪸11AA))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56550,"operation_count":14,"complexity_ratio":4039.285714285714,"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":3082,"base":12},"right_expr":{"type":"numeric_atoms","value":3329,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1309,"base":12},"right_expr":{"type":"numeric_atoms","value":1709,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1154,"base":12},"right_expr":{"type":"numeric_atoms","value":1529,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1492,"base":12},"right_expr":{"type":"numeric_atoms","value":5561,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1442,"base":12},"right_expr":{"type":"numeric_atoms","value":3262,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1497,"base":12},"right_expr":{"type":"numeric_atoms","value":2033,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2002,"base":12}}}}},"used_operators":["Nsiff2A1zJ","i8ToyICDmI","mp7IySMOzn","sdazOOVcIp","COABgblf1C","NTOWxs364D","mqXw5SEYmG","k8jYdgA6NY","ruOEQAzv1W","tmPS8pqC7x","eewbuw0ToL","Ph9nP6C5qx","srAu1WTS94"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3082","layer":4},{"info":"number node, value=3329","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=3329, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6658","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1709, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-698","layer":3},{"info":"compute binary expreesion, left_input=6658, right_input=-698, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1154","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1529, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2804","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=5561","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=5561, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22119","layer":3},{"info":"compute binary expreesion, left_input=-2804, right_input=22119, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=49851","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=49851, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1442","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=3262, 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=1442","layer":3},{"info":"compute unary expreesion, input=1442, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1169","layer":2},{"info":"number node, value=1497","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=2033, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1560","layer":3},{"info":"number node, value=2002","layer":4},{"info":"compute unary expreesion, input=2002, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6006","layer":3},{"info":"compute binary expreesion, left_input=1560, right_input=-6006, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7576","layer":2},{"info":"compute binary expreesion, left_input=-1169, right_input=7576, op_id = k8jYdgA6NY binary_op_definition= 'None', output=6407","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6407, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸194A⇷⫖↰⪸1B15)⊴(⫖↰⪸911⪨≂⫖↰⪸BA5)∲⫓⫖↰⪸802⩚⊴⇥⫖↰⪸A75⊭↱⫖↰⪸A44⫸⊐⫖↰⪸3275)⊴((↔(⫖↰⪸A02⨪↰⇹⫖↰⪸1A7A))%⫖↰⪸A49≧⫂∧⫖↰⪸1215⨰(⨵≀≌⫖↰⪸11AA))=NaN","reverse_text":"NaN=((⫖↰⪸194A⇷⫖↰⪸1B15)⊴(⫖↰⪸911⪨≂⫖↰⪸BA5)∲⫓⫖↰⪸802⩚⊴⇥⫖↰⪸A75⊭↱⫖↰⪸A44⫸⊐⫖↰⪸3275)⊴((↔(⫖↰⪸A02⨪↰⇹⫖↰⪸1A7A))%⫖↰⪸A49≧⫂∧⫖↰⪸1215⨰(⨵≀≌⫖↰⪸11AA))","cot":[{"info":"⫖↰⪸194A⇷⫖↰⪸1B15=⫖↰⪸3A2A","layer":3},{"info":"⫖↰⪸911⪨≂⫖↰⪸BA5=⫖↰⪸-4A2","layer":3},{"info":"⫖↰⪸3A2A⊴⫖↰⪸-4A2=NaN","layer":2},{"info":"⫖↰⪸802⩚⊴⇥⫖↰⪸A75=⫖↰⪸-1758","layer":3},{"info":"⫖↰⪸A44⫸⊐⫖↰⪸3275=⫖↰⪸10973","layer":3},{"info":"⫖↰⪸-1758⊭↱⫖↰⪸10973=⫖↰⪸24A23","layer":2},{"info":"NaN∲⫓⫖↰⪸24A23=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A02⨪↰⇹⫖↰⪸1A7A=⫖↰⪸A02","layer":3},{"info":"↔⫖↰⪸A02=⫖↰⪸-815","layer":2},{"info":"⫖↰⪸A49≧⫂∧⫖↰⪸1215=⫖↰⪸AA0","layer":3},{"info":"⨵≀≌⫖↰⪸11AA=⫖↰⪸-3586","layer":3},{"info":"⫖↰⪸AA0⨰⫖↰⪸-3586=⫖↰⪸4474","layer":2},{"info":"⫖↰⪸-815%⫖↰⪸4474=⫖↰⪸385B","layer":1},{"info":"⫖↰⪸0⊴⫖↰⪸385B=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"(↽≂$2481$⇷$2827$⩷∴(⪲⇎$6206$))⇼⇔∾($1108$⋥≓≎$1737$)≹⇙⪍($1431$⨟⋌⩍$2022$)≭($4441$⫡⨏$2817$)⋝⋈⪟$3615$≹⇙⪍$3224$","expression":"(↽≂⫖↰⪸1529⇷⫖↰⪸1777⩷∴(⪲⇎⫖↰⪸3712))⇼⇔∾(⫖↰⪸784⋥≓≎⫖↰⪸1009)≹⇙⪍(⫖↰⪸9B3⨟⋌⩍⫖↰⪸1206)≭(⫖↰⪸26A1⫡⨏⫖↰⪸1769)⋝⋈⪟⫖↰⪸2113≹⇙⪍⫖↰⪸1A48","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34771,"operation_count":12,"complexity_ratio":2897.5833333333335,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2481,"base":12},"right_expr":{"type":"numeric_atoms","value":2827,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6206,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1108,"base":12},"right_expr":{"type":"numeric_atoms","value":1737,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1431,"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":4441,"base":12},"right_expr":{"type":"numeric_atoms","value":2817,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3615,"base":12},"right_expr":{"type":"numeric_atoms","value":3224,"base":12}}}}},"used_operators":["tifHPKVTfV","u6S6b8DprG","9FxExcQeMw","mp7IySMOzn","XPYlsWDdGa","rxpJgHHUmx","AHs5Up7iyr","Qy55tPpLXF","rGHVDoGpnC","2DDjHMKMc0","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2481","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=2827, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5654","layer":3},{"info":"number node, value=6206","layer":4},{"info":"compute unary expreesion, input=6206, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12412","layer":3},{"info":"compute binary expreesion, left_input=5654, right_input=12412, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13548","layer":2},{"info":"compute unary expreesion, input=-13548, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=27096","layer":1},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1737, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2399","layer":3},{"info":"number node, value=1431","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2022, 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=2399, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4441","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=4441, right_input=2817, 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=28622","layer":3},{"info":"number node, value=3615","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=3224, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=28622, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=27096, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸1529⇷⫖↰⪸1777⩷∴(⪲⇎⫖↰⪸3712))⇼⇔∾(⫖↰⪸784⋥≓≎⫖↰⪸1009)≹⇙⪍(⫖↰⪸9B3⨟⋌⩍⫖↰⪸1206)≭(⫖↰⪸26A1⫡⨏⫖↰⪸1769)⋝⋈⪟⫖↰⪸2113≹⇙⪍⫖↰⪸1A48=NaN","reverse_text":"NaN=(↽≂⫖↰⪸1529⇷⫖↰⪸1777⩷∴(⪲⇎⫖↰⪸3712))⇼⇔∾(⫖↰⪸784⋥≓≎⫖↰⪸1009)≹⇙⪍(⫖↰⪸9B3⨟⋌⩍⫖↰⪸1206)≭(⫖↰⪸26A1⫡⨏⫖↰⪸1769)⋝⋈⪟⫖↰⪸2113≹⇙⪍⫖↰⪸1A48","cot":[{"info":"⫖↰⪸1529⇷⫖↰⪸1777=⫖↰⪸3332","layer":3},{"info":"⪲⇎⫖↰⪸3712=⫖↰⪸7224","layer":3},{"info":"⫖↰⪸3332⩷∴⫖↰⪸7224=⫖↰⪸-7A10","layer":2},{"info":"↽≂⫖↰⪸-7A10=⫖↰⪸13820","layer":1},{"info":"⫖↰⪸784⋥≓≎⫖↰⪸1009=⫖↰⪸147B","layer":3},{"info":"⫖↰⪸9B3⨟⋌⩍⫖↰⪸1206=NaN","layer":3},{"info":"⫖↰⪸147B≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸26A1⫡⨏⫖↰⪸1769=⫖↰⪸14692","layer":3},{"info":"⫖↰⪸2113≹⇙⪍⫖↰⪸1A48=NaN","layer":3},{"info":"⫖↰⪸14692⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⫖↰⪸13820⇼⇔∾NaN=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"(≦∁$3452$≎⊠⪸$3066$*($1180$⊭↱$1471$))⨵⪆($1005$⨽$2459$)⩷∴(⨵≀≌$2582$)⋓(($1946$-$1167$)⨎($1116$⨐⩸⫘$4465$))","expression":"(≦∁⫖↰⪸1BB8≎⊠⪸⫖↰⪸1936*(⫖↰⪸824⊭↱⫖↰⪸A27))⨵⪆(⫖↰⪸6B9⨽⫖↰⪸150B)⩷∴(⨵≀≌⫖↰⪸15B2)⋓((⫖↰⪸1162-⫖↰⪸813)⨎(⫖↰⪸790⨐⩸⫘⫖↰⪸2701))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1904,"operation_count":12,"complexity_ratio":158.66666666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3452,"base":12},"right_expr":{"type":"numeric_atoms","value":3066,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1180,"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":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":2459,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2582,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1946,"base":12},"right_expr":{"type":"numeric_atoms","value":1167,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1116,"base":12},"right_expr":{"type":"numeric_atoms","value":4465,"base":12}}}}},"used_operators":["2DQ55sFlQl","9ICcGScMcE","9HNa5Wba9A","bJkvcejdHO","COABgblf1C","T2fj7uvVaJ","9FxExcQeMw","8HhzD0ZcuI","srAu1WTS94","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3452","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=3066, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=893595","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=1471, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=587","layer":3},{"info":"compute binary expreesion, left_input=893595, right_input=587, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=524540265","layer":2},{"info":"compute unary expreesion, input=524540265, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=524540265","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2459, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3036138","layer":3},{"info":"number node, value=2582","layer":4},{"info":"compute unary expreesion, input=2582, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7746","layer":3},{"info":"compute binary expreesion, left_input=-3036138, right_input=-7746, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6056816","layer":2},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1167, op_id = rysDP5nf3Z binary_op_definition= 'None', output=779","layer":3},{"info":"number node, value=1116","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=4465, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=779, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6056816, 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=524540265, 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":"(≦∁⫖↰⪸1BB8≎⊠⪸⫖↰⪸1936*(⫖↰⪸824⊭↱⫖↰⪸A27))⨵⪆(⫖↰⪸6B9⨽⫖↰⪸150B)⩷∴(⨵≀≌⫖↰⪸15B2)⋓((⫖↰⪸1162-⫖↰⪸813)⨎(⫖↰⪸790⨐⩸⫘⫖↰⪸2701))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(≦∁⫖↰⪸1BB8≎⊠⪸⫖↰⪸1936*(⫖↰⪸824⊭↱⫖↰⪸A27))⨵⪆(⫖↰⪸6B9⨽⫖↰⪸150B)⩷∴(⨵≀≌⫖↰⪸15B2)⋓((⫖↰⪸1162-⫖↰⪸813)⨎(⫖↰⪸790⨐⩸⫘⫖↰⪸2701))","cot":[{"info":"⫖↰⪸1BB8≎⊠⪸⫖↰⪸1936=⫖↰⪸371163","layer":3},{"info":"⫖↰⪸824⊭↱⫖↰⪸A27=⫖↰⪸40B","layer":3},{"info":"⫖↰⪸371163*⫖↰⪸40B=⫖↰⪸127801489","layer":2},{"info":"≦∁⫖↰⪸127801489=⫖↰⪸127801489","layer":1},{"info":"⫖↰⪸6B9⨽⫖↰⪸150B=⫖↰⪸-1025036","layer":3},{"info":"⨵≀≌⫖↰⪸15B2=⫖↰⪸-4596","layer":3},{"info":"⫖↰⪸-1025036⩷∴⫖↰⪸-4596=⫖↰⪸-2041128","layer":2},{"info":"⫖↰⪸1162-⫖↰⪸813=⫖↰⪸54B","layer":3},{"info":"⫖↰⪸790⨐⩸⫘⫖↰⪸2701=NaN","layer":3},{"info":"⫖↰⪸54B⨎NaN=NaN","layer":2},{"info":"⫖↰⪸-2041128⋓NaN=NaN","layer":1},{"info":"⫖↰⪸127801489⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":361,"expression_no_base_symbol":"((⊙↵-(↣≠⋷$1711$))⊭↱$7522$≎⊠⪸$1498$⋳⪒$2061$⊴$1046$)⪛(($1769$⊉≛↸$1230$)⫥∨⫟$2283$⩷∴$2851$⨐⩸⫘(⨞⊢$6759$)⋳⪒($6719$⫥∨⫟$7745$))","expression":"((⊙↵-(↣≠⋷⫖↰⪸BA7))⊭↱⫖↰⪸442A≎⊠⪸⫖↰⪸A4A⋳⪒⫖↰⪸1239⊴⫖↰⪸732)⪛((⫖↰⪸1035⊉≛↸⫖↰⪸866)⫥∨⫟⫖↰⪸13A3⩷∴⫖↰⪸1797⨐⩸⫘(⨞⊢⫖↰⪸3AB3)⋳⪒(⫖↰⪸3A7B⫥∨⫟⫖↰⪸4595))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2925,"operation_count":14,"complexity_ratio":208.92857142857142,"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":1711,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7522,"base":12},"right_expr":{"type":"numeric_atoms","value":1498,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2061,"base":12},"right_expr":{"type":"numeric_atoms","value":1046,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1769,"base":12},"right_expr":{"type":"numeric_atoms","value":1230,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2283,"base":12},"right_expr":{"type":"numeric_atoms","value":2851,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6759,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6719,"base":12},"right_expr":{"type":"numeric_atoms","value":7745,"base":12}}}}},"used_operators":["uFcxV4UQCh","COABgblf1C","oWn0xqSxBt","Asc51vEJeQ","12rbrZMWeM","bJkvcejdHO","Nsiff2A1zJ","fu6greOZ01","KYD54nUTWz","DZ8iAZOCBD","9FxExcQeMw","xUOZtlo3hN"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=7522","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=7522, right_input=1498, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1947725","layer":3},{"info":"number node, value=2061","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=1046, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1947725, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1769","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=1230, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3538","layer":3},{"info":"number node, value=2283","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=2851, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1168","layer":3},{"info":"compute binary expreesion, left_input=3538, right_input=-1168, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6759","layer":4},{"info":"compute unary expreesion, input=6759, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6933","layer":3},{"info":"number node, value=6719","layer":4},{"info":"number node, value=7745","layer":4},{"info":"compute binary expreesion, left_input=6719, right_input=7745, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6933, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊙↵-(↣≠⋷⫖↰⪸BA7))⊭↱⫖↰⪸442A≎⊠⪸⫖↰⪸A4A⋳⪒⫖↰⪸1239⊴⫖↰⪸732)⪛((⫖↰⪸1035⊉≛↸⫖↰⪸866)⫥∨⫟⫖↰⪸13A3⩷∴⫖↰⪸1797⨐⩸⫘(⨞⊢⫖↰⪸3AB3)⋳⪒(⫖↰⪸3A7B⫥∨⫟⫖↰⪸4595))=NaN","reverse_text":"NaN=((⊙↵-(↣≠⋷⫖↰⪸BA7))⊭↱⫖↰⪸442A≎⊠⪸⫖↰⪸A4A⋳⪒⫖↰⪸1239⊴⫖↰⪸732)⪛((⫖↰⪸1035⊉≛↸⫖↰⪸866)⫥∨⫟⫖↰⪸13A3⩷∴⫖↰⪸1797⨐⩸⫘(⨞⊢⫖↰⪸3AB3)⋳⪒(⫖↰⪸3A7B⫥∨⫟⫖↰⪸4595))","cot":[{"info":"↣≠⋷⫖↰⪸BA7=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫖↰⪸442A≎⊠⪸⫖↰⪸A4A=⫖↰⪸79B1A5","layer":3},{"info":"⫖↰⪸1239⊴⫖↰⪸732=NaN","layer":3},{"info":"⫖↰⪸79B1A5⋳⪒NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸1035⊉≛↸⫖↰⪸866=⫖↰⪸206A","layer":3},{"info":"⫖↰⪸13A3⩷∴⫖↰⪸1797=⫖↰⪸-814","layer":3},{"info":"⫖↰⪸206A⫥∨⫟⫖↰⪸-814=NaN","layer":2},{"info":"⨞⊢⫖↰⪸3AB3=⫖↰⪸-4019","layer":3},{"info":"⫖↰⪸3A7B⫥∨⫟⫖↰⪸4595=NaN","layer":3},{"info":"⫖↰⪸-4019⋳⪒NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"((($1312$⩤)↺$1839$⨐⩸⫘$2663$)⊦⊿)⊦⊿","expression":"(((⫖↰⪸914⩤)↺⫖↰⪸1093⨐⩸⫘⫖↰⪸165B)⊦⊿)⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":5,"complexity_ratio":3.2,"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":1312,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1839,"base":12},"right_expr":{"type":"numeric_atoms","value":2663,"base":12}}}}},"used_operators":["14qkJME0vr","7j4O788W3g","Z2TMIBDE3Q","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1312","layer":3},{"info":"number node, value=1839","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=2663, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-1312, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸914⩤)↺⫖↰⪸1093⨐⩸⫘⫖↰⪸165B)⊦⊿)⊦⊿=NaN","reverse_text":"NaN=(((⫖↰⪸914⩤)↺⫖↰⪸1093⨐⩸⫘⫖↰⪸165B)⊦⊿)⊦⊿","cot":[{"info":"⫖↰⪸914⩤=⫖↰⪸-914","layer":3},{"info":"⫖↰⪸1093⨐⩸⫘⫖↰⪸165B=NaN","layer":3},{"info":"⫖↰⪸-914↺NaN=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"(⨈⫕($3023$⋥≓≎$3361$)≹⇙⪍($1075$+⇶⊼$4187$))⋝⋈⪟((⩦⩻⨪$1442$⪛$5452$)⫥∨⫟(($3581$⨸⪁$1297$)↺($9585$%$1543$)))","expression":"(⨈⫕(⫖↰⪸18BB⋥≓≎⫖↰⪸1B41)≹⇙⪍(⫖↰⪸757+⇶⊼⫖↰⪸250B))⋝⋈⪟((⩦⩻⨪⫖↰⪸A02⪛⫖↰⪸31A4)⫥∨⫟((⫖↰⪸20A5⨸⪁⫖↰⪸901)↺(⫖↰⪸5669%⫖↰⪸A87)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":567,"operation_count":11,"complexity_ratio":51.54545454545455,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3023,"base":12},"right_expr":{"type":"numeric_atoms","value":3361,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1075,"base":12},"right_expr":{"type":"numeric_atoms","value":4187,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1442,"base":12},"right_expr":{"type":"numeric_atoms","value":5452,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3581,"base":12},"right_expr":{"type":"numeric_atoms","value":1297,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":9585,"base":12},"right_expr":{"type":"numeric_atoms","value":1543,"base":12}}}}},"used_operators":["2DDjHMKMc0","megm06wKyl","AHs5Up7iyr","Qy55tPpLXF","TpPTUOHfaN","KYD54nUTWz","2td37pGCOC","uFcxV4UQCh","7j4O788W3g","g55IO6H4Gj","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3023","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=3361, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3732","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=4187","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=4187, 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=3732, 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 = 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=1442","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=5452, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1442","layer":3},{"info":"compute unary expreesion, input=1442, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1442","layer":2},{"info":"number node, value=3581","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=1297, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9756","layer":3},{"info":"number node, value=9585","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=9585, right_input=1543, op_id = k8jYdgA6NY binary_op_definition= 'None', output=327","layer":3},{"info":"compute binary expreesion, left_input=9756, right_input=327, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=327","layer":2},{"info":"compute binary expreesion, left_input=1442, right_input=327, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕(⫖↰⪸18BB⋥≓≎⫖↰⪸1B41)≹⇙⪍(⫖↰⪸757+⇶⊼⫖↰⪸250B))⋝⋈⪟((⩦⩻⨪⫖↰⪸A02⪛⫖↰⪸31A4)⫥∨⫟((⫖↰⪸20A5⨸⪁⫖↰⪸901)↺(⫖↰⪸5669%⫖↰⪸A87)))=NaN","reverse_text":"NaN=(⨈⫕(⫖↰⪸18BB⋥≓≎⫖↰⪸1B41)≹⇙⪍(⫖↰⪸757+⇶⊼⫖↰⪸250B))⋝⋈⪟((⩦⩻⨪⫖↰⪸A02⪛⫖↰⪸31A4)⫥∨⫟((⫖↰⪸20A5⨸⪁⫖↰⪸901)↺(⫖↰⪸5669%⫖↰⪸A87)))","cot":[{"info":"⫖↰⪸18BB⋥≓≎⫖↰⪸1B41=⫖↰⪸21B0","layer":3},{"info":"⫖↰⪸757+⇶⊼⫖↰⪸250B=NaN","layer":3},{"info":"⫖↰⪸21B0≹⇙⪍NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸A02⪛⫖↰⪸31A4=⫖↰⪸A02","layer":3},{"info":"⩦⩻⨪⫖↰⪸A02=⫖↰⪸A02","layer":2},{"info":"⫖↰⪸20A5⨸⪁⫖↰⪸901=⫖↰⪸5790","layer":3},{"info":"⫖↰⪸5669%⫖↰⪸A87=⫖↰⪸233","layer":3},{"info":"⫖↰⪸5790↺⫖↰⪸233=⫖↰⪸233","layer":2},{"info":"⫖↰⪸A02⫥∨⫟⫖↰⪸233=NaN","layer":1},{"info":"⫖↰⪸-19⋝⋈⪟NaN=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"((⇁⨣⪵$1268$)+⇶⊼(↥$3928$)∲⫓($2005$⊴$1025$⊦⊿))⫩⊇","expression":"((⇁⨣⪵⫖↰⪸898)+⇶⊼(↥⫖↰⪸2334)∲⫓(⫖↰⪸11B1⊴⫖↰⪸715⊦⊿))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1643,"operation_count":7,"complexity_ratio":234.71428571428572,"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":1268,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3928,"base":12}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2005,"base":12},"right_expr":{"type":"numeric_atoms","value":1025,"base":12}}}}},"used_operators":["BjRHVeLaeN","i8ToyICDmI","TpPTUOHfaN","inkyxCbjAn","A8NUZmVepG","14qkJME0vr","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3928","layer":4},{"info":"compute unary expreesion, input=3928, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, 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=2005","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=1025, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇁⨣⪵⫖↰⪸898)+⇶⊼(↥⫖↰⪸2334)∲⫓(⫖↰⪸11B1⊴⫖↰⪸715⊦⊿))⫩⊇=NaN","reverse_text":"NaN=((⇁⨣⪵⫖↰⪸898)+⇶⊼(↥⫖↰⪸2334)∲⫓(⫖↰⪸11B1⊴⫖↰⪸715⊦⊿))⫩⊇","cot":[{"info":"⇁⨣⪵⫖↰⪸898=NaN","layer":3},{"info":"↥⫖↰⪸2334=⫖↰⪸1","layer":3},{"info":"NaN+⇶⊼⫖↰⪸1=NaN","layer":2},{"info":"⫖↰⪸11B1⊴⫖↰⪸715=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":365,"expression_no_base_symbol":"($2997$⇼⇔∾$2444$/$3583$⪮%⊝$1650$⪨≂($3901$⪛$1546$⪨≂$7043$⨐⩸⫘$2226$))⫌⩹⨱","expression":"(⫖↰⪸1899⇼⇔∾⫖↰⪸14B8/⫖↰⪸20A7⪮%⊝⫖↰⪸B56⪨≂(⫖↰⪸2311⪛⫖↰⪸A8A⪨≂⫖↰⪸40AB⨐⩸⫘⫖↰⪸1356))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":35,"operation_count":8,"complexity_ratio":4.375,"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":2997,"base":12},"right_expr":{"type":"numeric_atoms","value":2444,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3583,"base":12},"right_expr":{"type":"numeric_atoms","value":1650,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3901,"base":12},"right_expr":{"type":"numeric_atoms","value":1546,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7043,"base":12},"right_expr":{"type":"numeric_atoms","value":2226,"base":12}}}}},"used_operators":["EBcxylXtPf","sdazOOVcIp","XhwjNDsVaA","tifHPKVTfV","IWmyXbctLI","uFcxV4UQCh","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2997","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=2444, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-553","layer":3},{"info":"number node, value=3583","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=1650, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7482","layer":3},{"info":"compute binary expreesion, left_input=-553, right_input=7482, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=3901","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=1546, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=809","layer":3},{"info":"number node, value=7043","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=7043, right_input=2226, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=809, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1899⇼⇔∾⫖↰⪸14B8/⫖↰⪸20A7⪮%⊝⫖↰⪸B56⪨≂(⫖↰⪸2311⪛⫖↰⪸A8A⪨≂⫖↰⪸40AB⨐⩸⫘⫖↰⪸1356))⫌⩹⨱=NaN","reverse_text":"NaN=(⫖↰⪸1899⇼⇔∾⫖↰⪸14B8/⫖↰⪸20A7⪮%⊝⫖↰⪸B56⪨≂(⫖↰⪸2311⪛⫖↰⪸A8A⪨≂⫖↰⪸40AB⨐⩸⫘⫖↰⪸1356))⫌⩹⨱","cot":[{"info":"⫖↰⪸1899⇼⇔∾⫖↰⪸14B8=⫖↰⪸-3A1","layer":3},{"info":"⫖↰⪸20A7⪮%⊝⫖↰⪸B56=⫖↰⪸43B6","layer":3},{"info":"⫖↰⪸-3A1/⫖↰⪸43B6=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸2311⪛⫖↰⪸A8A=⫖↰⪸575","layer":3},{"info":"⫖↰⪸40AB⨐⩸⫘⫖↰⪸1356=NaN","layer":3},{"info":"⫖↰⪸575⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸-1⪨≂NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"(↣≠⋷(⩦⩻⨪(≦∁$7793$)))⪢(($1125$⨎$2285$⪄(⩦⩻⨪$5472$))≭(($1438$⪨≂$5032$)∲⫓(↽≂$3575$)))","expression":"(↣≠⋷(⩦⩻⨪(≦∁⫖↰⪸4615)))⪢((⫖↰⪸799⨎⫖↰⪸13A5⪄(⩦⩻⨪⫖↰⪸3200))≭((⫖↰⪸9BA⪨≂⫖↰⪸2AB4)∲⫓(↽≂⫖↰⪸209B)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":117,"operation_count":11,"complexity_ratio":10.636363636363637,"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":7793,"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":2285,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5472,"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":5032,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3575,"base":12}}}}},"used_operators":["dWAJyo7jo9","Asc51vEJeQ","2td37pGCOC","9ICcGScMcE","rxpJgHHUmx","SUmda5xLS4","rJVOvQCfKK","i8ToyICDmI","sdazOOVcIp","u6S6b8DprG"],"dependent_operators":["k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7793","layer":4},{"info":"compute unary expreesion, input=7793, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7793","layer":3},{"info":"compute unary expreesion, input=7793, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7793","layer":2},{"info":"compute unary expreesion, input=7793, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1125","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=2285, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2285","layer":3},{"info":"number node, value=5472","layer":4},{"info":"compute unary expreesion, input=5472, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5472","layer":3},{"info":"compute binary expreesion, left_input=2285, right_input=5472, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-356157","layer":2},{"info":"number node, value=1438","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=5032, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7086","layer":3},{"info":"number node, value=3575","layer":4},{"info":"compute unary expreesion, input=3575, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7150","layer":3},{"info":"compute binary expreesion, left_input=-7086, right_input=-7150, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-7086","layer":2},{"info":"compute binary expreesion, left_input=-356157, right_input=-7086, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"(↣≠⋷(⩦⩻⨪(≦∁⫖↰⪸4615)))⪢((⫖↰⪸799⨎⫖↰⪸13A5⪄(⩦⩻⨪⫖↰⪸3200))≭((⫖↰⪸9BA⪨≂⫖↰⪸2AB4)∲⫓(↽≂⫖↰⪸209B)))=NaN","reverse_text":"NaN=(↣≠⋷(⩦⩻⨪(≦∁⫖↰⪸4615)))⪢((⫖↰⪸799⨎⫖↰⪸13A5⪄(⩦⩻⨪⫖↰⪸3200))≭((⫖↰⪸9BA⪨≂⫖↰⪸2AB4)∲⫓(↽≂⫖↰⪸209B)))","cot":[{"info":"≦∁⫖↰⪸4615=⫖↰⪸4615","layer":3},{"info":"⩦⩻⨪⫖↰⪸4615=⫖↰⪸4615","layer":2},{"info":"↣≠⋷⫖↰⪸4615=NaN","layer":1},{"info":"⫖↰⪸799⨎⫖↰⪸13A5=⫖↰⪸13A5","layer":3},{"info":"⩦⩻⨪⫖↰⪸3200=⫖↰⪸3200","layer":3},{"info":"⫖↰⪸13A5⪄⫖↰⪸3200=⫖↰⪸-152139","layer":2},{"info":"⫖↰⪸9BA⪨≂⫖↰⪸2AB4=⫖↰⪸-4126","layer":3},{"info":"↽≂⫖↰⪸209B=⫖↰⪸-417A","layer":3},{"info":"⫖↰⪸-4126∲⫓⫖↰⪸-417A=⫖↰⪸-4126","layer":2},{"info":"⫖↰⪸-152139≭⫖↰⪸-4126=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":367,"expression_no_base_symbol":"($3669$∑⇟⊟$5889$+⇶⊼(⨰⫟⨤$2380$)+($1144$⨽$2971$)↬$1026$⪢$1156$)⫸⊐($1262$⨳⩥⨓$1748$)⊴($4471$⨸⪁$1006$)⪢($5947$↙$7954$∲⫓$5036$⇷$5787$)","expression":"(⫖↰⪸2159∑⇟⊟⫖↰⪸34A9+⇶⊼(⨰⫟⨤⫖↰⪸1464)+(⫖↰⪸7B4⨽⫖↰⪸1877)↬⫖↰⪸716⪢⫖↰⪸804)⫸⊐(⫖↰⪸892⨳⩥⨓⫖↰⪸1018)⊴(⫖↰⪸2707⨸⪁⫖↰⪸6BA)⪢(⫖↰⪸3537↙⫖↰⪸472A∲⫓⫖↰⪸2AB8⇷⫖↰⪸3423)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":100433,"operation_count":15,"complexity_ratio":6695.533333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3669,"base":12},"right_expr":{"type":"numeric_atoms","value":5889,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2380,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":2971,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1026,"base":12},"right_expr":{"type":"numeric_atoms","value":1156,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":1748,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4471,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5947,"base":12},"right_expr":{"type":"numeric_atoms","value":7954,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5036,"base":12},"right_expr":{"type":"numeric_atoms","value":5787,"base":12}}}}},"used_operators":["mqXw5SEYmG","W4YGzv6Whe","TpPTUOHfaN","U7g4x0WXJJ","Tw270M8GLb","B5M0gjZbta","8HhzD0ZcuI","dWAJyo7jo9","Nsiff2A1zJ","nCS4ZIUYfx","g55IO6H4Gj","i8ToyICDmI","yyfyN0ffXY","mp7IySMOzn"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3669","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=5889, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2380","layer":4},{"info":"compute unary expreesion, input=2380, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1144","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=2971, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3933807","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1156, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=-3933807, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1748, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=486","layer":3},{"info":"number node, value=4471","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=1006, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10954","layer":3},{"info":"compute binary expreesion, left_input=486, right_input=10954, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5947","layer":4},{"info":"number node, value=7954","layer":4},{"info":"compute binary expreesion, left_input=5947, right_input=7954, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23862","layer":3},{"info":"number node, value=5036","layer":4},{"info":"number node, value=5787","layer":4},{"info":"compute binary expreesion, left_input=5036, right_input=5787, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11574","layer":3},{"info":"compute binary expreesion, left_input=-23862, right_input=11574, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2159∑⇟⊟⫖↰⪸34A9+⇶⊼(⨰⫟⨤⫖↰⪸1464)+(⫖↰⪸7B4⨽⫖↰⪸1877)↬⫖↰⪸716⪢⫖↰⪸804)⫸⊐(⫖↰⪸892⨳⩥⨓⫖↰⪸1018)⊴(⫖↰⪸2707⨸⪁⫖↰⪸6BA)⪢(⫖↰⪸3537↙⫖↰⪸472A∲⫓⫖↰⪸2AB8⇷⫖↰⪸3423)=NaN","reverse_text":"NaN=(⫖↰⪸2159∑⇟⊟⫖↰⪸34A9+⇶⊼(⨰⫟⨤⫖↰⪸1464)+(⫖↰⪸7B4⨽⫖↰⪸1877)↬⫖↰⪸716⪢⫖↰⪸804)⫸⊐(⫖↰⪸892⨳⩥⨓⫖↰⪸1018)⊴(⫖↰⪸2707⨸⪁⫖↰⪸6BA)⪢(⫖↰⪸3537↙⫖↰⪸472A∲⫓⫖↰⪸2AB8⇷⫖↰⪸3423)","cot":[{"info":"⫖↰⪸2159∑⇟⊟⫖↰⪸34A9=NaN","layer":3},{"info":"⨰⫟⨤⫖↰⪸1464=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸7B4⨽⫖↰⪸1877=⫖↰⪸-1398613","layer":3},{"info":"⫖↰⪸716⪢⫖↰⪸804=NaN","layer":3},{"info":"⫖↰⪸-1398613↬NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⫖↰⪸892⨳⩥⨓⫖↰⪸1018=⫖↰⪸346","layer":3},{"info":"⫖↰⪸2707⨸⪁⫖↰⪸6BA=⫖↰⪸640A","layer":3},{"info":"⫖↰⪸346⊴⫖↰⪸640A=NaN","layer":2},{"info":"⫖↰⪸3537↙⫖↰⪸472A=⫖↰⪸-11986","layer":3},{"info":"⫖↰⪸2AB8⇷⫖↰⪸3423=⫖↰⪸6846","layer":3},{"info":"⫖↰⪸-11986∲⫓⫖↰⪸6846=⫖↰⪸0","layer":2},{"info":"NaN⪢⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⫸⊐⫖↰⪸0=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(((⪲⇎$1043$)⋷$2417$⇼⇔∾$4287$)⊭∹↮)⩷∴(($5538$⋓$8743$)∼$2989$≹⇙⪍$8390$⋫)","expression":"(((⪲⇎⫖↰⪸72B)⋷⫖↰⪸1495⇼⇔∾⫖↰⪸2593)⊭∹↮)⩷∴((⫖↰⪸3256⋓⫖↰⪸5087)∼⫖↰⪸1891≹⇙⪍⫖↰⪸4A32⋫)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37,"operation_count":9,"complexity_ratio":4.111111111111111,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2417,"base":12},"right_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":5538,"base":12},"right_expr":{"type":"numeric_atoms","value":8743,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2989,"base":12},"right_expr":{"type":"numeric_atoms","value":8390,"base":12}}}}},"used_operators":["9FxExcQeMw","xNBdhnnwKq","23Mk6UjR3U","XPYlsWDdGa","tifHPKVTfV","JL8yIekQnl","DyGG3AbaNP","T2fj7uvVaJ","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2086","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=4287","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=4287, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1870","layer":3},{"info":"compute binary expreesion, left_input=2086, right_input=1870, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1654","layer":2},{"info":"compute unary expreesion, input=1654, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3308","layer":1},{"info":"number node, value=5538","layer":4},{"info":"number node, value=8743","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=8743, 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=2989","layer":4},{"info":"number node, value=8390","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=8390, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3308, 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":"(((⪲⇎⫖↰⪸72B)⋷⫖↰⪸1495⇼⇔∾⫖↰⪸2593)⊭∹↮)⩷∴((⫖↰⪸3256⋓⫖↰⪸5087)∼⫖↰⪸1891≹⇙⪍⫖↰⪸4A32⋫)=NaN","reverse_text":"NaN=(((⪲⇎⫖↰⪸72B)⋷⫖↰⪸1495⇼⇔∾⫖↰⪸2593)⊭∹↮)⩷∴((⫖↰⪸3256⋓⫖↰⪸5087)∼⫖↰⪸1891≹⇙⪍⫖↰⪸4A32⋫)","cot":[{"info":"⪲⇎⫖↰⪸72B=⫖↰⪸125A","layer":3},{"info":"⫖↰⪸1495⇼⇔∾⫖↰⪸2593=⫖↰⪸10BA","layer":3},{"info":"⫖↰⪸125A⋷⫖↰⪸10BA=⫖↰⪸B5A","layer":2},{"info":"⫖↰⪸B5A⊭∹↮=⫖↰⪸1AB8","layer":1},{"info":"⫖↰⪸3256⋓⫖↰⪸5087=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1891≹⇙⪍⫖↰⪸4A32=NaN","layer":3},{"info":"⫖↰⪸0∼NaN=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⫖↰⪸1AB8⩷∴NaN=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"⊄⩳↩(($1453$≎⊠⪸$1113$↪⪝)+⇶⊼((∂$1182$)⊘))","expression":"⊄⩳↩((⫖↰⪸A11≎⊠⪸⫖↰⪸789↪⪝)+⇶⊼((∂⫖↰⪸826)⊘))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":996,"operation_count":6,"complexity_ratio":166.0,"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":1453,"base":12},"right_expr":{"type":"numeric_atoms","value":1113,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1182,"base":12}}}}},"used_operators":["8w2t5hMYqp","TpPTUOHfaN","l07mrZUIn9","bJkvcejdHO","gu96TGCTMs","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1113, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=375854","layer":3},{"info":"compute unary expreesion, input=375854, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":2},{"info":"number node, value=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩((⫖↰⪸A11≎⊠⪸⫖↰⪸789↪⪝)+⇶⊼((∂⫖↰⪸826)⊘))=NaN","reverse_text":"NaN=⊄⩳↩((⫖↰⪸A11≎⊠⪸⫖↰⪸789↪⪝)+⇶⊼((∂⫖↰⪸826)⊘))","cot":[{"info":"⫖↰⪸A11≎⊠⪸⫖↰⪸789=⫖↰⪸161612","layer":3},{"info":"⫖↰⪸161612↪⪝=Inf","layer":2},{"info":"∂⫖↰⪸826=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"Inf+⇶⊼NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"($4618$⊪)∼($5151$⪄$2006$)⨰(⊥($1403$⨳⩥⨓$3444$))≧⫂∧($1567$⊴$3118$≭$2217$⩷∴$5016$⨸⪁(⋗⩬⋾$2968$)≭$1096$≧⫂∧$1273$)","expression":"(⫖↰⪸280A⊪)∼(⫖↰⪸2B93⪄⫖↰⪸11B2)⨰(⊥(⫖↰⪸98B⨳⩥⨓⫖↰⪸1BB0))≧⫂∧(⫖↰⪸AA7⊴⫖↰⪸197A≭⫖↰⪸1349⩷∴⫖↰⪸2AA0⨸⪁(⋗⩬⋾⫖↰⪸1874)≭⫖↰⪸774≧⫂∧⫖↰⪸8A1)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3281,"operation_count":14,"complexity_ratio":234.35714285714286,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4618,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5151,"base":12},"right_expr":{"type":"numeric_atoms","value":2006,"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":3444,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1567,"base":12},"right_expr":{"type":"numeric_atoms","value":3118,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2217,"base":12},"right_expr":{"type":"numeric_atoms","value":5016,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2968,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1096,"base":12},"right_expr":{"type":"numeric_atoms","value":1273,"base":12}}}}},"used_operators":["Ph9nP6C5qx","eewbuw0ToL","DyGG3AbaNP","zVYPLywUTj","SUmda5xLS4","Q3PJZHRvZv","nCS4ZIUYfx","g55IO6H4Gj","rxpJgHHUmx","Nsiff2A1zJ","9FxExcQeMw","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4618","layer":4},{"info":"compute unary expreesion, input=4618, 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=5151","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=5151, right_input=2006, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-766461","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-766461, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1403","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=3444, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2041","layer":3},{"info":"compute unary expreesion, input=2041, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1567","layer":4},{"info":"number node, value=3118","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=3118, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2217","layer":4},{"info":"number node, value=5016","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=5016, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5630","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5630, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8904","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1273, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=800","layer":3},{"info":"compute binary expreesion, left_input=-8904, right_input=800, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸280A⊪)∼(⫖↰⪸2B93⪄⫖↰⪸11B2)⨰(⊥(⫖↰⪸98B⨳⩥⨓⫖↰⪸1BB0))≧⫂∧(⫖↰⪸AA7⊴⫖↰⪸197A≭⫖↰⪸1349⩷∴⫖↰⪸2AA0⨸⪁(⋗⩬⋾⫖↰⪸1874)≭⫖↰⪸774≧⫂∧⫖↰⪸8A1)=NaN","reverse_text":"NaN=(⫖↰⪸280A⊪)∼(⫖↰⪸2B93⪄⫖↰⪸11B2)⨰(⊥(⫖↰⪸98B⨳⩥⨓⫖↰⪸1BB0))≧⫂∧(⫖↰⪸AA7⊴⫖↰⪸197A≭⫖↰⪸1349⩷∴⫖↰⪸2AA0⨸⪁(⋗⩬⋾⫖↰⪸1874)≭⫖↰⪸774≧⫂∧⫖↰⪸8A1)","cot":[{"info":"⫖↰⪸280A⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2B93⪄⫖↰⪸11B2=⫖↰⪸-30B679","layer":3},{"info":"⫖↰⪸0∼⫖↰⪸-30B679=NaN","layer":2},{"info":"⫖↰⪸98B⨳⩥⨓⫖↰⪸1BB0=⫖↰⪸1221","layer":3},{"info":"⊥⫖↰⪸1221=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫖↰⪸AA7⊴⫖↰⪸197A=NaN","layer":3},{"info":"⫖↰⪸1349⩷∴⫖↰⪸2AA0=⫖↰⪸-3312","layer":3},{"info":"NaN≭⫖↰⪸-3312=NaN","layer":2},{"info":"⋗⩬⋾⫖↰⪸1874=⫖↰⪸-51A0","layer":3},{"info":"⫖↰⪸774≧⫂∧⫖↰⪸8A1=⫖↰⪸568","layer":3},{"info":"⫖↰⪸-51A0≭⫖↰⪸568=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"(↔(($6683$⋥≓≎$1072$)⨎(⊄⩳↩$1201$)))⇼⇔∾(⫓⪴($3637$⨟⋌⩍$3049$≦≮≮))","expression":"(↔((⫖↰⪸3A4B⋥≓≎⫖↰⪸754)⨎(⊄⩳↩⫖↰⪸841)))⇼⇔∾(⫓⪴(⫖↰⪸2131⨟⋌⩍⫖↰⪸1921≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37,"operation_count":8,"complexity_ratio":4.625,"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":6683,"base":12},"right_expr":{"type":"numeric_atoms","value":1072,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1201,"base":12}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3637,"base":12},"right_expr":{"type":"numeric_atoms","value":3049,"base":12}}}}},"used_operators":["tifHPKVTfV","ruOEQAzv1W","rJVOvQCfKK","Qy55tPpLXF","8w2t5hMYqp","eLxqMNBOBk","D4vGDi5EA2","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6683","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=6683, right_input=1072, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4506","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3603","layer":3},{"info":"compute binary expreesion, left_input=-4506, right_input=-3603, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3603","layer":2},{"info":"compute unary expreesion, input=-3603, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=3637","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=3049, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↔((⫖↰⪸3A4B⋥≓≎⫖↰⪸754)⨎(⊄⩳↩⫖↰⪸841)))⇼⇔∾(⫓⪴(⫖↰⪸2131⨟⋌⩍⫖↰⪸1921≦≮≮))=NaN","reverse_text":"NaN=(↔((⫖↰⪸3A4B⋥≓≎⫖↰⪸754)⨎(⊄⩳↩⫖↰⪸841)))⇼⇔∾(⫓⪴(⫖↰⪸2131⨟⋌⩍⫖↰⪸1921≦≮≮))","cot":[{"info":"⫖↰⪸3A4B⋥≓≎⫖↰⪸754=⫖↰⪸-2736","layer":3},{"info":"⊄⩳↩⫖↰⪸841=⫖↰⪸-2103","layer":3},{"info":"⫖↰⪸-2736⨎⫖↰⪸-2103=⫖↰⪸-2103","layer":2},{"info":"↔⫖↰⪸-2103=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸2131⨟⋌⩍⫖↰⪸1921=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⫖↰⪸-B2⇼⇔∾NaN=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"(($3445$*$3757$)⪘⫢($3528$%$5457$)-($5850$⨰$3480$)↬($1260$⨰$1311$))⋝⋈⪟(($4774$⫥∨⫟$4229$)⩷∴(↯⪼$3593$)-(($1036$⊉≛↸$6213$)⊭∹↮))","expression":"((⫖↰⪸1BB1*⫖↰⪸2211)⪘⫢(⫖↰⪸2060%⫖↰⪸31A9)-(⫖↰⪸3476⨰⫖↰⪸2020)↬(⫖↰⪸890⨰⫖↰⪸913))⋝⋈⪟((⫖↰⪸291A⫥∨⫟⫖↰⪸2545)⩷∴(↯⪼⫖↰⪸20B5)-((⫖↰⪸724⊉≛↸⫖↰⪸3719)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3678,"operation_count":14,"complexity_ratio":262.7142857142857,"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":3445,"base":12},"right_expr":{"type":"numeric_atoms","value":3757,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3528,"base":12},"right_expr":{"type":"numeric_atoms","value":5457,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5850,"base":12},"right_expr":{"type":"numeric_atoms","value":3480,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1260,"base":12},"right_expr":{"type":"numeric_atoms","value":1311,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4774,"base":12},"right_expr":{"type":"numeric_atoms","value":4229,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3593,"base":12}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1036,"base":12},"right_expr":{"type":"numeric_atoms","value":6213,"base":12}}}}},"used_operators":["2DDjHMKMc0","rysDP5nf3Z","oacrs7FA3X","9HNa5Wba9A","k8jYdgA6NY","B5M0gjZbta","eewbuw0ToL","9FxExcQeMw","KYD54nUTWz","8jW3W4yZS5","xNBdhnnwKq","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3445","layer":4},{"info":"number node, value=3757","layer":4},{"info":"compute binary expreesion, left_input=3445, right_input=3757, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12942865","layer":3},{"info":"number node, value=3528","layer":4},{"info":"number node, value=5457","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=5457, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3528","layer":3},{"info":"compute binary expreesion, left_input=12942865, right_input=3528, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=25885606","layer":2},{"info":"number node, value=5850","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=5850, right_input=3480, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2380","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1311, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-41","layer":3},{"info":"compute binary expreesion, left_input=2380, right_input=-41, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=25885606, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4774","layer":4},{"info":"number node, value=4229","layer":4},{"info":"compute binary expreesion, left_input=4774, right_input=4229, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3593","layer":4},{"info":"compute unary expreesion, input=3593, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1036","layer":4},{"info":"number node, value=6213","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=6213, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2072","layer":3},{"info":"compute unary expreesion, input=2072, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4144","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4144, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1BB1*⫖↰⪸2211)⪘⫢(⫖↰⪸2060%⫖↰⪸31A9)-(⫖↰⪸3476⨰⫖↰⪸2020)↬(⫖↰⪸890⨰⫖↰⪸913))⋝⋈⪟((⫖↰⪸291A⫥∨⫟⫖↰⪸2545)⩷∴(↯⪼⫖↰⪸20B5)-((⫖↰⪸724⊉≛↸⫖↰⪸3719)⊭∹↮))=NaN","reverse_text":"NaN=((⫖↰⪸1BB1*⫖↰⪸2211)⪘⫢(⫖↰⪸2060%⫖↰⪸31A9)-(⫖↰⪸3476⨰⫖↰⪸2020)↬(⫖↰⪸890⨰⫖↰⪸913))⋝⋈⪟((⫖↰⪸291A⫥∨⫟⫖↰⪸2545)⩷∴(↯⪼⫖↰⪸20B5)-((⫖↰⪸724⊉≛↸⫖↰⪸3719)⊭∹↮))","cot":[{"info":"⫖↰⪸1BB1*⫖↰⪸2211=⫖↰⪸4402101","layer":3},{"info":"⫖↰⪸2060%⫖↰⪸31A9=⫖↰⪸2060","layer":3},{"info":"⫖↰⪸4402101⪘⫢⫖↰⪸2060=⫖↰⪸880411A","layer":2},{"info":"⫖↰⪸3476⨰⫖↰⪸2020=⫖↰⪸1464","layer":3},{"info":"⫖↰⪸890⨰⫖↰⪸913=⫖↰⪸-35","layer":3},{"info":"⫖↰⪸1464↬⫖↰⪸-35=NaN","layer":2},{"info":"⫖↰⪸880411A-NaN=NaN","layer":1},{"info":"⫖↰⪸291A⫥∨⫟⫖↰⪸2545=NaN","layer":3},{"info":"↯⪼⫖↰⪸20B5=⫖↰⪸-19","layer":3},{"info":"NaN⩷∴⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸724⊉≛↸⫖↰⪸3719=⫖↰⪸1248","layer":3},{"info":"⫖↰⪸1248⊭∹↮=⫖↰⪸2494","layer":2},{"info":"NaN-⫖↰⪸2494=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"($1087$⩷∴$4541$)⨓($3719$∲⫓$9298$)⪒(⇁⨣⪵$5723$∀⇚≩$6542$)⋷(⋗⩬⋾$3898$⨓$2403$⨐⩸⫘$1451$⋝⋈⪟$1021$)","expression":"(⫖↰⪸767⩷∴⫖↰⪸2765)⨓(⫖↰⪸219B∲⫓⫖↰⪸546A)⪒(⇁⨣⪵⫖↰⪸338B∀⇚≩⫖↰⪸3952)⋷(⋗⩬⋾⫖↰⪸230A⨓⫖↰⪸1483⨐⩸⫘⫖↰⪸A0B⋝⋈⪟⫖↰⪸711)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":42498,"operation_count":11,"complexity_ratio":3863.4545454545455,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1087,"base":12},"right_expr":{"type":"numeric_atoms","value":4541,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3719,"base":12},"right_expr":{"type":"numeric_atoms","value":9298,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5723,"base":12},"right_expr":{"type":"numeric_atoms","value":6542,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3898,"base":12},"right_expr":{"type":"numeric_atoms","value":2403,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1451,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}}}}},"used_operators":["23Mk6UjR3U","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","i8ToyICDmI","inkyxCbjAn","LRNGc0VcxI","DpFCA1CohY","fu6greOZ01","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":4},{"info":"number node, value=4541","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=4541, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6940","layer":3},{"info":"number node, value=3719","layer":4},{"info":"number node, value=9298","layer":4},{"info":"compute binary expreesion, left_input=3719, right_input=9298, 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=-6940, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=5723","layer":4},{"info":"number node, value=6542","layer":4},{"info":"compute binary expreesion, left_input=5723, right_input=6542, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3898","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=3898, right_input=2403, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2406","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1021, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1451","layer":3},{"info":"compute binary expreesion, left_input=-2406, right_input=1451, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸767⩷∴⫖↰⪸2765)⨓(⫖↰⪸219B∲⫓⫖↰⪸546A)⪒(⇁⨣⪵⫖↰⪸338B∀⇚≩⫖↰⪸3952)⋷(⋗⩬⋾⫖↰⪸230A⨓⫖↰⪸1483⨐⩸⫘⫖↰⪸A0B⋝⋈⪟⫖↰⪸711)=NaN","reverse_text":"NaN=(⫖↰⪸767⩷∴⫖↰⪸2765)⨓(⫖↰⪸219B∲⫓⫖↰⪸546A)⪒(⇁⨣⪵⫖↰⪸338B∀⇚≩⫖↰⪸3952)⋷(⋗⩬⋾⫖↰⪸230A⨓⫖↰⪸1483⨐⩸⫘⫖↰⪸A0B⋝⋈⪟⫖↰⪸711)","cot":[{"info":"⫖↰⪸767⩷∴⫖↰⪸2765=⫖↰⪸-4024","layer":3},{"info":"⫖↰⪸219B∲⫓⫖↰⪸546A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-4024⨓⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸338B∀⇚≩⫖↰⪸3952=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⫖↰⪸230A⨓⫖↰⪸1483=⫖↰⪸-1486","layer":3},{"info":"⫖↰⪸A0B⋝⋈⪟⫖↰⪸711=⫖↰⪸A0B","layer":3},{"info":"⫖↰⪸-1486⨐⩸⫘⫖↰⪸A0B=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"(≦∁$1963$↬$4714$)⨰($5728$⪢$1272$↪⪝)+($2223$⨟⋌⩍$2525$↺$3611$≭$1811$)⨽$1805$⋝⋈⪟$2102$⩷∴($1013$⨸⪁$8951$)","expression":"(≦∁⫖↰⪸1177↬⫖↰⪸288A)⨰(⫖↰⪸3394⪢⫖↰⪸8A0↪⪝)+(⫖↰⪸1353⨟⋌⩍⫖↰⪸1565↺⫖↰⪸210B≭⫖↰⪸106B)⨽⫖↰⪸1065⋝⋈⪟⫖↰⪸1272⩷∴(⫖↰⪸705⨸⪁⫖↰⪸521B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1675,"operation_count":13,"complexity_ratio":128.84615384615384,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1963,"base":12},"right_expr":{"type":"numeric_atoms","value":4714,"base":12}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5728,"base":12},"right_expr":{"type":"numeric_atoms","value":1272,"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":2525,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3611,"base":12},"right_expr":{"type":"numeric_atoms","value":1811,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1805,"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":8951,"base":12}}}}},"used_operators":["W4YGzv6Whe","eewbuw0ToL","9ICcGScMcE","B5M0gjZbta","l07mrZUIn9","dWAJyo7jo9","8HhzD0ZcuI","7j4O788W3g","rGHVDoGpnC","rxpJgHHUmx","9FxExcQeMw","2DDjHMKMc0","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1963","layer":4},{"info":"number node, value=4714","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=4714, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"number node, value=5728","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=5728, right_input=1272, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2223","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=2525, 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=3611","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=1811, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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=1805","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=2102, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1805","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=8951","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=8951, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19928","layer":3},{"info":"compute binary expreesion, left_input=1805, right_input=19928, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-36278","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36278, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≦∁⫖↰⪸1177↬⫖↰⪸288A)⨰(⫖↰⪸3394⪢⫖↰⪸8A0↪⪝)+(⫖↰⪸1353⨟⋌⩍⫖↰⪸1565↺⫖↰⪸210B≭⫖↰⪸106B)⨽⫖↰⪸1065⋝⋈⪟⫖↰⪸1272⩷∴(⫖↰⪸705⨸⪁⫖↰⪸521B)=NaN","reverse_text":"NaN=(≦∁⫖↰⪸1177↬⫖↰⪸288A)⨰(⫖↰⪸3394⪢⫖↰⪸8A0↪⪝)+(⫖↰⪸1353⨟⋌⩍⫖↰⪸1565↺⫖↰⪸210B≭⫖↰⪸106B)⨽⫖↰⪸1065⋝⋈⪟⫖↰⪸1272⩷∴(⫖↰⪸705⨸⪁⫖↰⪸521B)","cot":[{"info":"⫖↰⪸1177↬⫖↰⪸288A=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⫖↰⪸3394⪢⫖↰⪸8A0=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫖↰⪸1353⨟⋌⩍⫖↰⪸1565=NaN","layer":3},{"info":"⫖↰⪸210B≭⫖↰⪸106B=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⫖↰⪸1065⋝⋈⪟⫖↰⪸1272=⫖↰⪸1065","layer":3},{"info":"⫖↰⪸705⨸⪁⫖↰⪸521B=⫖↰⪸B648","layer":3},{"info":"⫖↰⪸1065⩷∴⫖↰⪸B648=⫖↰⪸-18BB2","layer":2},{"info":"NaN⨽⫖↰⪸-18BB2=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"↔($2882$⪢$1873$⋝⋈⪟(↩$1159$)⫥∨⫟($1095$≣⋋)⩚⊴⇥$1820$⪛$1414$)","expression":"↔(⫖↰⪸1802⪢⫖↰⪸1101⋝⋈⪟(↩⫖↰⪸807)⫥∨⫟(⫖↰⪸773≣⋋)⩚⊴⇥⫖↰⪸1078⪛⫖↰⪸99A)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2882,"operation_count":8,"complexity_ratio":360.25,"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":2882,"base":12},"right_expr":{"type":"numeric_atoms","value":1873,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1159,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1820,"base":12},"right_expr":{"type":"numeric_atoms","value":1414,"base":12}}}}},"used_operators":["ruOEQAzv1W","KYD54nUTWz","2DDjHMKMc0","dWAJyo7jo9","jLgFTUHLKL","NTOWxs364D","Tcnh7f0tEr","uFcxV4UQCh"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2882","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=1873, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1159","layer":4},{"info":"compute unary expreesion, input=1159, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6492","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6492, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, 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=1820","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=1414, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=406","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=406, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"↔(⫖↰⪸1802⪢⫖↰⪸1101⋝⋈⪟(↩⫖↰⪸807)⫥∨⫟(⫖↰⪸773≣⋋)⩚⊴⇥⫖↰⪸1078⪛⫖↰⪸99A)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔(⫖↰⪸1802⪢⫖↰⪸1101⋝⋈⪟(↩⫖↰⪸807)⫥∨⫟(⫖↰⪸773≣⋋)⩚⊴⇥⫖↰⪸1078⪛⫖↰⪸99A)","cot":[{"info":"⫖↰⪸1802⪢⫖↰⪸1101=NaN","layer":3},{"info":"↩⫖↰⪸807=⫖↰⪸-3910","layer":3},{"info":"NaN⋝⋈⪟⫖↰⪸-3910=NaN","layer":2},{"info":"⫖↰⪸773≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1078⪛⫖↰⪸99A=⫖↰⪸29A","layer":3},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸29A=⫖↰⪸-37B","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸-37B=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":376,"expression_no_base_symbol":"($1598$+⇶⊼$1310$)⩷∴(⫛⫱⨽$1559$)⊉≛↸($3019$⫥∨⫟$1301$⊉≛↸(↽≂$5817$))⪒($1546$⪛$5942$*$5065$⇷$3088$)≎⊠⪸(($4120$⊪)∸)","expression":"(⫖↰⪸B12+⇶⊼⫖↰⪸912)⩷∴(⫛⫱⨽⫖↰⪸A9B)⊉≛↸(⫖↰⪸18B7⫥∨⫟⫖↰⪸905⊉≛↸(↽≂⫖↰⪸3449))⪒(⫖↰⪸A8A⪛⫖↰⪸3532*⫖↰⪸2B21⇷⫖↰⪸1954)≎⊠⪸((⫖↰⪸2474⊪)∸)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":74539,"operation_count":14,"complexity_ratio":5324.214285714285,"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":1598,"base":12},"right_expr":{"type":"numeric_atoms","value":1310,"base":12}},"right_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":3019,"base":12},"right_expr":{"type":"numeric_atoms","value":1301,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5817,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1546,"base":12},"right_expr":{"type":"numeric_atoms","value":5942,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5065,"base":12},"right_expr":{"type":"numeric_atoms","value":3088,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4120,"base":12}}}}},"used_operators":["f6k1SAg4EE","DZ8iAZOCBD","9FxExcQeMw","TpPTUOHfaN","DlLNRPXxWL","KYD54nUTWz","u6S6b8DprG","bJkvcejdHO","9HNa5Wba9A","uFcxV4UQCh","mp7IySMOzn","o20kRiQErp","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1310, 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=1559","layer":4},{"info":"compute unary expreesion, input=1559, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3019","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=1301, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5817","layer":4},{"info":"compute unary expreesion, input=5817, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11634","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11634, 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=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1546","layer":4},{"info":"number node, value=5942","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=5942, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1546","layer":3},{"info":"number node, value=5065","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=5065, right_input=3088, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6176","layer":3},{"info":"compute binary expreesion, left_input=1546, right_input=6176, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9548096","layer":2},{"info":"number node, value=4120","layer":4},{"info":"compute unary expreesion, input=4120, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=9548096, right_input=177, 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=nan, right_input=inf, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B12+⇶⊼⫖↰⪸912)⩷∴(⫛⫱⨽⫖↰⪸A9B)⊉≛↸(⫖↰⪸18B7⫥∨⫟⫖↰⪸905⊉≛↸(↽≂⫖↰⪸3449))⪒(⫖↰⪸A8A⪛⫖↰⪸3532*⫖↰⪸2B21⇷⫖↰⪸1954)≎⊠⪸((⫖↰⪸2474⊪)∸)=NaN","reverse_text":"NaN=(⫖↰⪸B12+⇶⊼⫖↰⪸912)⩷∴(⫛⫱⨽⫖↰⪸A9B)⊉≛↸(⫖↰⪸18B7⫥∨⫟⫖↰⪸905⊉≛↸(↽≂⫖↰⪸3449))⪒(⫖↰⪸A8A⪛⫖↰⪸3532*⫖↰⪸2B21⇷⫖↰⪸1954)≎⊠⪸((⫖↰⪸2474⊪)∸)","cot":[{"info":"⫖↰⪸B12+⇶⊼⫖↰⪸912=NaN","layer":3},{"info":"⫛⫱⨽⫖↰⪸A9B=⫖↰⪸0","layer":3},{"info":"NaN⩷∴⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸18B7⫥∨⫟⫖↰⪸905=NaN","layer":3},{"info":"↽≂⫖↰⪸3449=⫖↰⪸-6896","layer":3},{"info":"NaN⊉≛↸⫖↰⪸-6896=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⫖↰⪸A8A⪛⫖↰⪸3532=⫖↰⪸A8A","layer":3},{"info":"⫖↰⪸2B21⇷⫖↰⪸1954=⫖↰⪸36A8","layer":3},{"info":"⫖↰⪸A8A*⫖↰⪸36A8=⫖↰⪸3245628","layer":2},{"info":"⫖↰⪸2474⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸3245628≎⊠⪸⫖↰⪸129=Inf","layer":1},{"info":"NaN⪒Inf=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(≦∁$2347$⨎$6760$⋥≓≎$1047$⪘⫢$1234$)⇷($2960$⪨≂$1328$⋷$2594$+⇶⊼$1488$)∼($6319$≎⊠⪸$4201$⪄(⊥$3830$))","expression":"(≦∁⫖↰⪸1437⨎⫖↰⪸3AB4⋥≓≎⫖↰⪸733⪘⫢⫖↰⪸86A)⇷(⫖↰⪸1868⪨≂⫖↰⪸928⋷⫖↰⪸1602+⇶⊼⫖↰⪸A40)∼(⫖↰⪸37A7≎⊠⪸⫖↰⪸2521⪄(⊥⫖↰⪸2272))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1376,"operation_count":12,"complexity_ratio":114.66666666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2347,"base":12},"right_expr":{"type":"numeric_atoms","value":6760,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1047,"base":12},"right_expr":{"type":"numeric_atoms","value":1234,"base":12}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2960,"base":12},"right_expr":{"type":"numeric_atoms","value":1328,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2594,"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":6319,"base":12},"right_expr":{"type":"numeric_atoms","value":4201,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3830,"base":12}}}}},"used_operators":["mp7IySMOzn","9ICcGScMcE","Qy55tPpLXF","rJVOvQCfKK","oacrs7FA3X","DyGG3AbaNP","23Mk6UjR3U","sdazOOVcIp","TpPTUOHfaN","SUmda5xLS4","bJkvcejdHO","Q3PJZHRvZv"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"number node, value=6760","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=6760, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6760","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1234, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1970","layer":3},{"info":"compute binary expreesion, left_input=6760, right_input=1970, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2787","layer":2},{"info":"compute unary expreesion, input=-2787, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"number node, value=2960","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=1328, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3366","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=1488, 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=3366, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=6319","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=6319, right_input=4201, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1636148","layer":3},{"info":"number node, value=3830","layer":4},{"info":"compute unary expreesion, input=3830, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1636148, 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=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"(≦∁⫖↰⪸1437⨎⫖↰⪸3AB4⋥≓≎⫖↰⪸733⪘⫢⫖↰⪸86A)⇷(⫖↰⪸1868⪨≂⫖↰⪸928⋷⫖↰⪸1602+⇶⊼⫖↰⪸A40)∼(⫖↰⪸37A7≎⊠⪸⫖↰⪸2521⪄(⊥⫖↰⪸2272))=NaN","reverse_text":"NaN=(≦∁⫖↰⪸1437⨎⫖↰⪸3AB4⋥≓≎⫖↰⪸733⪘⫢⫖↰⪸86A)⇷(⫖↰⪸1868⪨≂⫖↰⪸928⋷⫖↰⪸1602+⇶⊼⫖↰⪸A40)∼(⫖↰⪸37A7≎⊠⪸⫖↰⪸2521⪄(⊥⫖↰⪸2272))","cot":[{"info":"⫖↰⪸1437⨎⫖↰⪸3AB4=⫖↰⪸3AB4","layer":3},{"info":"⫖↰⪸733⪘⫢⫖↰⪸86A=⫖↰⪸1182","layer":3},{"info":"⫖↰⪸3AB4⋥≓≎⫖↰⪸1182=⫖↰⪸-1743","layer":2},{"info":"≦∁⫖↰⪸-1743=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1868⪨≂⫖↰⪸928=⫖↰⪸1B46","layer":3},{"info":"⫖↰⪸1602+⇶⊼⫖↰⪸A40=NaN","layer":3},{"info":"⫖↰⪸1B46⋷NaN=NaN","layer":2},{"info":"⫖↰⪸37A7≎⊠⪸⫖↰⪸2521=⫖↰⪸66AA18","layer":3},{"info":"⊥⫖↰⪸2272=NaN","layer":3},{"info":"⫖↰⪸66AA18⪄NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⫖↰⪸57⇷NaN=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"⨞⊢($5628$⩚⊴⇥$2446$)≧⫂∧($1044$↙$1795$)⋳⪒(-$1370$⋥≓≎$2545$)","expression":"⨞⊢(⫖↰⪸3310⩚⊴⇥⫖↰⪸14BA)≧⫂∧(⫖↰⪸730↙⫖↰⪸1057)⋳⪒(-⫖↰⪸962⋥≓≎⫖↰⪸1581)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1817,"operation_count":7,"complexity_ratio":259.57142857142856,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5628,"base":12},"right_expr":{"type":"numeric_atoms","value":2446,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1044,"base":12},"right_expr":{"type":"numeric_atoms","value":1795,"base":12}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":2545,"base":12}}}}},"used_operators":["xUOZtlo3hN","12rbrZMWeM","Ph9nP6C5qx","NTOWxs364D","yyfyN0ffXY","t8gj7n24qd","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1190","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5628","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=5628, right_input=2446, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8195","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1795, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5385","layer":3},{"info":"compute binary expreesion, left_input=-8195, right_input=-5385, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-2810","layer":2},{"info":"number node, value=1370","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2545, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3753","layer":3},{"info":"compute unary expreesion, input=3753, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3753","layer":2},{"info":"compute binary expreesion, left_input=-2810, right_input=-3753, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2154","layer":1},{"info":"compute unary expreesion, input=-2154, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1980","layer":0}],"base":12,"result_base":12,"text":"⨞⊢(⫖↰⪸3310⩚⊴⇥⫖↰⪸14BA)≧⫂∧(⫖↰⪸730↙⫖↰⪸1057)⋳⪒(-⫖↰⪸962⋥≓≎⫖↰⪸1581)=⫖↰⪸1190","reverse_text":"⫖↰⪸1190=⨞⊢(⫖↰⪸3310⩚⊴⇥⫖↰⪸14BA)≧⫂∧(⫖↰⪸730↙⫖↰⪸1057)⋳⪒(-⫖↰⪸962⋥≓≎⫖↰⪸1581)","cot":[{"info":"⫖↰⪸3310⩚⊴⇥⫖↰⪸14BA=⫖↰⪸-48AB","layer":3},{"info":"⫖↰⪸730↙⫖↰⪸1057=⫖↰⪸-3149","layer":3},{"info":"⫖↰⪸-48AB≧⫂∧⫖↰⪸-3149=⫖↰⪸-1762","layer":2},{"info":"⫖↰⪸962⋥≓≎⫖↰⪸1581=⫖↰⪸2209","layer":3},{"info":"-⫖↰⪸2209=⫖↰⪸-2209","layer":2},{"info":"⫖↰⪸-1762⋳⪒⫖↰⪸-2209=⫖↰⪸-12B6","layer":1},{"info":"⨞⊢⫖↰⪸-12B6=⫖↰⪸1190","layer":0}]}
{"id":379,"expression_no_base_symbol":"(⨰⫟⨤($2288$∀⇚≩$5429$+⇶⊼(⨵≀≌$1379$)))∀⇚≩(($1419$⋳⪒$5069$⊘)-($1051$↺$4180$)∑⇟⊟($1702$⊉≛↸$2871$))","expression":"(⨰⫟⨤(⫖↰⪸13A8∀⇚≩⫖↰⪸3185+⇶⊼(⨵≀≌⫖↰⪸96B)))∀⇚≩((⫖↰⪸9A3⋳⪒⫖↰⪸2B25⊘)-(⫖↰⪸737↺⫖↰⪸2504)∑⇟⊟(⫖↰⪸B9A⊉≛↸⫖↰⪸17B3))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16084,"operation_count":11,"complexity_ratio":1462.1818181818182,"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":2288,"base":12},"right_expr":{"type":"numeric_atoms","value":5429,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1379,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1419,"base":12},"right_expr":{"type":"numeric_atoms","value":5069,"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":4180,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1702,"base":12},"right_expr":{"type":"numeric_atoms","value":2871,"base":12}}}}},"used_operators":["LRNGc0VcxI","Tw270M8GLb","TpPTUOHfaN","srAu1WTS94","rysDP5nf3Z","gu96TGCTMs","12rbrZMWeM","U7g4x0WXJJ","7j4O788W3g","DZ8iAZOCBD"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2288","layer":4},{"info":"number node, value=5429","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=5429, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1379","layer":4},{"info":"compute unary expreesion, input=1379, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4137","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4137, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1419","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=5069, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2518","layer":3},{"info":"compute unary expreesion, input=-2518, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=4180, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4180","layer":3},{"info":"number node, value=1702","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=2871, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3404","layer":3},{"info":"compute binary expreesion, left_input=4180, right_input=3404, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"(⨰⫟⨤(⫖↰⪸13A8∀⇚≩⫖↰⪸3185+⇶⊼(⨵≀≌⫖↰⪸96B)))∀⇚≩((⫖↰⪸9A3⋳⪒⫖↰⪸2B25⊘)-(⫖↰⪸737↺⫖↰⪸2504)∑⇟⊟(⫖↰⪸B9A⊉≛↸⫖↰⪸17B3))=NaN","reverse_text":"NaN=(⨰⫟⨤(⫖↰⪸13A8∀⇚≩⫖↰⪸3185+⇶⊼(⨵≀≌⫖↰⪸96B)))∀⇚≩((⫖↰⪸9A3⋳⪒⫖↰⪸2B25⊘)-(⫖↰⪸737↺⫖↰⪸2504)∑⇟⊟(⫖↰⪸B9A⊉≛↸⫖↰⪸17B3))","cot":[{"info":"⫖↰⪸13A8∀⇚≩⫖↰⪸3185=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸96B=⫖↰⪸-2489","layer":3},{"info":"NaN+⇶⊼⫖↰⪸-2489=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸9A3⋳⪒⫖↰⪸2B25=⫖↰⪸-155A","layer":3},{"info":"⫖↰⪸-155A⊘=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸737↺⫖↰⪸2504=⫖↰⪸2504","layer":3},{"info":"⫖↰⪸B9A⊉≛↸⫖↰⪸17B3=⫖↰⪸1B78","layer":3},{"info":"⫖↰⪸2504∑⇟⊟⫖↰⪸1B78=NaN","layer":2},{"info":"⫖↰⪸-1-NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"↯⪼(-(↔($6287$⨰$6661$)))","expression":"↯⪼(-(↔(⫖↰⪸377B⨰⫖↰⪸3A31)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":60,"operation_count":4,"complexity_ratio":15.0,"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":6287,"base":12},"right_expr":{"type":"numeric_atoms","value":6661,"base":12}}}}},"used_operators":["8jW3W4yZS5","t8gj7n24qd","ruOEQAzv1W","eewbuw0ToL"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6287","layer":4},{"info":"number node, value=6661","layer":4},{"info":"compute binary expreesion, left_input=6287, right_input=6661, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-364","layer":3},{"info":"compute unary expreesion, input=-364, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = t8gj7n24qd, unary_op_definition = 'None', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(-(↔(⫖↰⪸377B⨰⫖↰⪸3A31)))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(-(↔(⫖↰⪸377B⨰⫖↰⪸3A31)))","cot":[{"info":"⫖↰⪸377B⨰⫖↰⪸3A31=⫖↰⪸-264","layer":3},{"info":"↔⫖↰⪸-264=⫖↰⪸-B2","layer":2},{"info":"-⫖↰⪸-B2=⫖↰⪸B2","layer":1},{"info":"↯⪼⫖↰⪸B2=⫖↰⪸-19","layer":0}]}
{"id":381,"expression_no_base_symbol":"(⇁⨣⪵($3302$⋷$2900$))⋝⋈⪟(($3903$⪠⩆⊳)∧)/(≉(⨵≀≌$6413$))⋥≓≎(≤/(⊙↵-$3836$))","expression":"(⇁⨣⪵(⫖↰⪸1AB2⋷⫖↰⪸1818))⋝⋈⪟((⫖↰⪸2313⪠⩆⊳)∧)/(≉(⨵≀≌⫖↰⪸3865))⋥≓≎(≤/(⊙↵-⫖↰⪸2278))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3908,"operation_count":11,"complexity_ratio":355.27272727272725,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3302,"base":12},"right_expr":{"type":"numeric_atoms","value":2900,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3903,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6413,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3836,"base":12}}}}},"used_operators":["XhwjNDsVaA","2DDjHMKMc0","inkyxCbjAn","23Mk6UjR3U","z63VuFQld9","JLbD19bQDL","Qy55tPpLXF","e1ybzncUwg","srAu1WTS94","eLAdDNolq6","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3302","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=3302, right_input=2900, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2498","layer":3},{"info":"compute unary expreesion, input=2498, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3903","layer":4},{"info":"compute unary expreesion, input=3903, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=6413","layer":4},{"info":"compute unary expreesion, input=6413, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-19239","layer":3},{"info":"compute unary expreesion, input=-19239, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-19239","layer":2},{"info":"number node, value=3836","layer":4},{"info":"compute unary expreesion, input=3836, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=485","layer":2},{"info":"compute binary expreesion, left_input=-19239, right_input=485, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(⫖↰⪸1AB2⋷⫖↰⪸1818))⋝⋈⪟((⫖↰⪸2313⪠⩆⊳)∧)/(≉(⨵≀≌⫖↰⪸3865))⋥≓≎(≤/(⊙↵-⫖↰⪸2278))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫖↰⪸1AB2⋷⫖↰⪸1818))⋝⋈⪟((⫖↰⪸2313⪠⩆⊳)∧)/(≉(⨵≀≌⫖↰⪸3865))⋥≓≎(≤/(⊙↵-⫖↰⪸2278))","cot":[{"info":"⫖↰⪸1AB2⋷⫖↰⪸1818=⫖↰⪸1542","layer":3},{"info":"⇁⨣⪵⫖↰⪸1542=NaN","layer":2},{"info":"⫖↰⪸2313⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∧=⫖↰⪸0","layer":2},{"info":"NaN⋝⋈⪟⫖↰⪸0=NaN","layer":1},{"info":"⨵≀≌⫖↰⪸3865=⫖↰⪸-B173","layer":3},{"info":"≉⫖↰⪸-B173=⫖↰⪸-B173","layer":2},{"info":"⊙↵-⫖↰⪸2278=⫖↰⪸-1","layer":3},{"info":"≤/⫖↰⪸-1=⫖↰⪸345","layer":2},{"info":"⫖↰⪸-B173⋥≓≎⫖↰⪸345=⫖↰⪸57","layer":1},{"info":"NaN/⫖↰⪸57=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"($2089$+⇶⊼$4364$⪨≂$1104$+⇶⊼$1027$)⪘⫢($2276$⪄$8170$)⨟⋌⩍($4933$≎⊠⪸$2427$)⨓(⋗⩬⋾(⨈⫕$4287$)⨓(⩦⩻⨪$2299$))","expression":"(⫖↰⪸1261+⇶⊼⫖↰⪸2638⪨≂⫖↰⪸780+⇶⊼⫖↰⪸717)⪘⫢(⫖↰⪸1398⪄⫖↰⪸488A)⨟⋌⩍(⫖↰⪸2A31≎⊠⪸⫖↰⪸14A3)⨓(⋗⩬⋾(⨈⫕⫖↰⪸2593)⨓(⩦⩻⨪⫖↰⪸13B7))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9991,"operation_count":12,"complexity_ratio":832.5833333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2089,"base":12},"right_expr":{"type":"numeric_atoms","value":4364,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1104,"base":12},"right_expr":{"type":"numeric_atoms","value":1027,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2276,"base":12},"right_expr":{"type":"numeric_atoms","value":8170,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4933,"base":12},"right_expr":{"type":"numeric_atoms","value":2427,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4287,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2299,"base":12}}}}},"used_operators":["3ViojmjbAp","oacrs7FA3X","sdazOOVcIp","TpPTUOHfaN","rGHVDoGpnC","SUmda5xLS4","bJkvcejdHO","DpFCA1CohY","megm06wKyl","2td37pGCOC"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-3BB9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2089","layer":4},{"info":"number node, value=4364","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=4364, 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=1104","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1027, 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 = 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=2276","layer":4},{"info":"number node, value=8170","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=8170, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-365617","layer":3},{"info":"number node, value=4933","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=2427, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1277174","layer":3},{"info":"compute binary expreesion, left_input=-365617, right_input=1277174, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=4287","layer":4},{"info":"compute unary expreesion, input=4287, 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=2299","layer":4},{"info":"compute unary expreesion, input=2299, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2299","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=2299, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2302","layer":2},{"info":"compute unary expreesion, input=-2302, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=6906","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6906, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6909","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1261+⇶⊼⫖↰⪸2638⪨≂⫖↰⪸780+⇶⊼⫖↰⪸717)⪘⫢(⫖↰⪸1398⪄⫖↰⪸488A)⨟⋌⩍(⫖↰⪸2A31≎⊠⪸⫖↰⪸14A3)⨓(⋗⩬⋾(⨈⫕⫖↰⪸2593)⨓(⩦⩻⨪⫖↰⪸13B7))=⫖↰⪸-3BB9","reverse_text":"⫖↰⪸-3BB9=(⫖↰⪸1261+⇶⊼⫖↰⪸2638⪨≂⫖↰⪸780+⇶⊼⫖↰⪸717)⪘⫢(⫖↰⪸1398⪄⫖↰⪸488A)⨟⋌⩍(⫖↰⪸2A31≎⊠⪸⫖↰⪸14A3)⨓(⋗⩬⋾(⨈⫕⫖↰⪸2593)⨓(⩦⩻⨪⫖↰⪸13B7))","cot":[{"info":"⫖↰⪸1261+⇶⊼⫖↰⪸2638=NaN","layer":3},{"info":"⫖↰⪸780+⇶⊼⫖↰⪸717=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸1398⪄⫖↰⪸488A=⫖↰⪸-157701","layer":3},{"info":"⫖↰⪸2A31≎⊠⪸⫖↰⪸14A3=⫖↰⪸517132","layer":3},{"info":"⫖↰⪸-157701⨟⋌⩍⫖↰⪸517132=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"⨈⫕⫖↰⪸2593=⫖↰⪸-19","layer":3},{"info":"⩦⩻⨪⫖↰⪸13B7=⫖↰⪸13B7","layer":3},{"info":"⫖↰⪸-19⨓⫖↰⪸13B7=⫖↰⪸-13BA","layer":2},{"info":"⋗⩬⋾⫖↰⪸-13BA=⫖↰⪸3BB6","layer":1},{"info":"NaN⨓⫖↰⪸3BB6=⫖↰⪸-3BB9","layer":0}]}
{"id":383,"expression_no_base_symbol":"($6116$⨟⋌⩍$3098$⪨≂$2431$≭$3410$⨵⪆($7861$⋷$1741$)+⇶⊼($2311$⨎$2579$))⫩⊇","expression":"(⫖↰⪸3658⨟⋌⩍⫖↰⪸1962⪨≂⫖↰⪸14A7≭⫖↰⪸1B82⨵⪆(⫖↰⪸4671⋷⫖↰⪸1011)+⇶⊼(⫖↰⪸1407⨎⫖↰⪸15AB))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15,"operation_count":8,"complexity_ratio":1.875,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6116,"base":12},"right_expr":{"type":"numeric_atoms","value":3098,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2431,"base":12},"right_expr":{"type":"numeric_atoms","value":3410,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7861,"base":12},"right_expr":{"type":"numeric_atoms","value":1741,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2311,"base":12},"right_expr":{"type":"numeric_atoms","value":2579,"base":12}}}}},"used_operators":["BjRHVeLaeN","2DQ55sFlQl","sdazOOVcIp","rGHVDoGpnC","rxpJgHHUmx","TpPTUOHfaN","23Mk6UjR3U","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸-9A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6116","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=6116, right_input=3098, 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=2431","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=3410, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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=7861","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=7861, right_input=1741, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4379","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=2579, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2579","layer":3},{"info":"compute binary expreesion, left_input=-4379, right_input=2579, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3658⨟⋌⩍⫖↰⪸1962⪨≂⫖↰⪸14A7≭⫖↰⪸1B82⨵⪆(⫖↰⪸4671⋷⫖↰⪸1011)+⇶⊼(⫖↰⪸1407⨎⫖↰⪸15AB))⫩⊇=⫖↰⪸-9A","reverse_text":"⫖↰⪸-9A=(⫖↰⪸3658⨟⋌⩍⫖↰⪸1962⪨≂⫖↰⪸14A7≭⫖↰⪸1B82⨵⪆(⫖↰⪸4671⋷⫖↰⪸1011)+⇶⊼(⫖↰⪸1407⨎⫖↰⪸15AB))⫩⊇","cot":[{"info":"⫖↰⪸3658⨟⋌⩍⫖↰⪸1962=NaN","layer":3},{"info":"⫖↰⪸14A7≭⫖↰⪸1B82=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸4671⋷⫖↰⪸1011=⫖↰⪸-264B","layer":3},{"info":"⫖↰⪸1407⨎⫖↰⪸15AB=⫖↰⪸15AB","layer":3},{"info":"⫖↰⪸-264B+⇶⊼⫖↰⪸15AB=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114⫩⊇=⫖↰⪸-9A","layer":0}]}
{"id":384,"expression_no_base_symbol":"($2592$≭$3304$+$1031$-$4210$)⩚⊴⇥($7240$⪢$1253$)⪮%⊝($5030$⋓$2543$)+⇶⊼(≤/$1426$⊴$1308$⨐⩸⫘($5308$↺$5824$))","expression":"(⫖↰⪸1600≭⫖↰⪸1AB4+⫖↰⪸71B-⫖↰⪸252A)⩚⊴⇥(⫖↰⪸4234⪢⫖↰⪸885)⪮%⊝(⫖↰⪸2AB2⋓⫖↰⪸157B)+⇶⊼(≤/⫖↰⪸9AA⊴⫖↰⪸910⨐⩸⫘(⫖↰⪸30A4↺⫖↰⪸3454))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5611,"operation_count":12,"complexity_ratio":467.5833333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2592,"base":12},"right_expr":{"type":"numeric_atoms","value":3304,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1031,"base":12},"right_expr":{"type":"numeric_atoms","value":4210,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7240,"base":12},"right_expr":{"type":"numeric_atoms","value":1253,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5030,"base":12},"right_expr":{"type":"numeric_atoms","value":2543,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1426,"base":12},"right_expr":{"type":"numeric_atoms","value":1308,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5308,"base":12},"right_expr":{"type":"numeric_atoms","value":5824,"base":12}}}}},"used_operators":["TpPTUOHfaN","NTOWxs364D","W4YGzv6Whe","rxpJgHHUmx","rysDP5nf3Z","IWmyXbctLI","dWAJyo7jo9","T2fj7uvVaJ","eLAdDNolq6","fu6greOZ01","Nsiff2A1zJ","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2592","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=3304, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1031","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=4210, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3179","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3179, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=7240","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=7240, right_input=1253, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=5030","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=2543, 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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1426","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=1308, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5308","layer":4},{"info":"number node, value=5824","layer":4},{"info":"compute binary expreesion, left_input=5308, right_input=5824, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5824","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5824, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1600≭⫖↰⪸1AB4+⫖↰⪸71B-⫖↰⪸252A)⩚⊴⇥(⫖↰⪸4234⪢⫖↰⪸885)⪮%⊝(⫖↰⪸2AB2⋓⫖↰⪸157B)+⇶⊼(≤/⫖↰⪸9AA⊴⫖↰⪸910⨐⩸⫘(⫖↰⪸30A4↺⫖↰⪸3454))=NaN","reverse_text":"NaN=(⫖↰⪸1600≭⫖↰⪸1AB4+⫖↰⪸71B-⫖↰⪸252A)⩚⊴⇥(⫖↰⪸4234⪢⫖↰⪸885)⪮%⊝(⫖↰⪸2AB2⋓⫖↰⪸157B)+⇶⊼(≤/⫖↰⪸9AA⊴⫖↰⪸910⨐⩸⫘(⫖↰⪸30A4↺⫖↰⪸3454))","cot":[{"info":"⫖↰⪸1600≭⫖↰⪸1AB4=NaN","layer":3},{"info":"⫖↰⪸71B-⫖↰⪸252A=⫖↰⪸-1A0B","layer":3},{"info":"NaN+⫖↰⪸-1A0B=NaN","layer":2},{"info":"⫖↰⪸4234⪢⫖↰⪸885=NaN","layer":3},{"info":"⫖↰⪸2AB2⋓⫖↰⪸157B=⫖↰⪸0","layer":3},{"info":"NaN⪮%⊝⫖↰⪸0=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⫖↰⪸9AA⊴⫖↰⪸910=NaN","layer":3},{"info":"⫖↰⪸30A4↺⫖↰⪸3454=⫖↰⪸3454","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸3454=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":385,"expression_no_base_symbol":"(⪝⪂⫅((+⊝⨔$2924$)⫥∨⫟$2024$⩚⊴⇥$1507$))⋝⋈⪟(((-$1577$)↙(⫓⪴$3841$))≧⫂∧(($4212$≎⊠⪸$1517$)⨰(↔$5904$)))","expression":"(⪝⪂⫅((+⊝⨔⫖↰⪸1838)⫥∨⫟⫖↰⪸1208⩚⊴⇥⫖↰⪸A57))⋝⋈⪟(((-⫖↰⪸AB5)↙(⫓⪴⫖↰⪸2281))≧⫂∧((⫖↰⪸2530≎⊠⪸⫖↰⪸A65)⨰(↔⫖↰⪸3500)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4331,"operation_count":12,"complexity_ratio":360.9166666666667,"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":2924,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2024,"base":12},"right_expr":{"type":"numeric_atoms","value":1507,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_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":3841,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4212,"base":12},"right_expr":{"type":"numeric_atoms","value":1517,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5904,"base":12}}}}},"used_operators":["2DDjHMKMc0","XTarYq4gQB","KYD54nUTWz","DhbWaqg5eL","NTOWxs364D","Ph9nP6C5qx","yyfyN0ffXY","t8gj7n24qd","eLxqMNBOBk","eewbuw0ToL","bJkvcejdHO","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2924","layer":4},{"info":"compute unary expreesion, input=2924, 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=2024","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=1507, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3652","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-3652, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1577","layer":3},{"info":"number node, value=3841","layer":4},{"info":"compute unary expreesion, input=3841, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14753281","layer":3},{"info":"compute binary expreesion, left_input=-1577, right_input=14753281, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1577","layer":2},{"info":"number node, value=4212","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=1517, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1090435","layer":3},{"info":"number node, value=5904","layer":4},{"info":"compute unary expreesion, input=5904, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5631","layer":3},{"info":"compute binary expreesion, left_input=1090435, right_input=-5631, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1096076","layer":2},{"info":"compute binary expreesion, left_input=-1577, right_input=1096076, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1095603","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1095603, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅((+⊝⨔⫖↰⪸1838)⫥∨⫟⫖↰⪸1208⩚⊴⇥⫖↰⪸A57))⋝⋈⪟(((-⫖↰⪸AB5)↙(⫓⪴⫖↰⪸2281))≧⫂∧((⫖↰⪸2530≎⊠⪸⫖↰⪸A65)⨰(↔⫖↰⪸3500)))=NaN","reverse_text":"NaN=(⪝⪂⫅((+⊝⨔⫖↰⪸1838)⫥∨⫟⫖↰⪸1208⩚⊴⇥⫖↰⪸A57))⋝⋈⪟(((-⫖↰⪸AB5)↙(⫓⪴⫖↰⪸2281))≧⫂∧((⫖↰⪸2530≎⊠⪸⫖↰⪸A65)⨰(↔⫖↰⪸3500)))","cot":[{"info":"+⊝⨔⫖↰⪸1838=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸1208⩚⊴⇥⫖↰⪸A57=⫖↰⪸-2144","layer":3},{"info":"⫖↰⪸A6A⫥∨⫟⫖↰⪸-2144=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"-⫖↰⪸AB5=⫖↰⪸-AB5","layer":3},{"info":"⫓⪴⫖↰⪸2281=⫖↰⪸4B35941","layer":3},{"info":"⫖↰⪸-AB5↙⫖↰⪸4B35941=⫖↰⪸-AB5","layer":2},{"info":"⫖↰⪸2530≎⊠⪸⫖↰⪸A65=⫖↰⪸447057","layer":3},{"info":"↔⫖↰⪸3500=⫖↰⪸-3313","layer":3},{"info":"⫖↰⪸447057⨰⫖↰⪸-3313=⫖↰⪸44A378","layer":2},{"info":"⫖↰⪸-AB5≧⫂∧⫖↰⪸44A378=⫖↰⪸44A043","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸44A043=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(($2553$∼$1306$%$2436$⫥∨⫟$4935$)≣⋋)↛⩡⫤","expression":"((⫖↰⪸1589∼⫖↰⪸90A%⫖↰⪸14B0⫥∨⫟⫖↰⪸2A33)≣⋋)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":274,"operation_count":5,"complexity_ratio":54.8,"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":2553,"base":12},"right_expr":{"type":"numeric_atoms","value":1306,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2436,"base":12},"right_expr":{"type":"numeric_atoms","value":4935,"base":12}}}}},"used_operators":["FU0Cs4j7VP","Tcnh7f0tEr","k8jYdgA6NY","DyGG3AbaNP","KYD54nUTWz"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2553","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1306, 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=2436","layer":4},{"info":"number node, value=4935","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=4935, 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 = k8jYdgA6NY binary_op_definition= 'None', 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 = 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":"((⫖↰⪸1589∼⫖↰⪸90A%⫖↰⪸14B0⫥∨⫟⫖↰⪸2A33)≣⋋)↛⩡⫤=NaN","reverse_text":"NaN=((⫖↰⪸1589∼⫖↰⪸90A%⫖↰⪸14B0⫥∨⫟⫖↰⪸2A33)≣⋋)↛⩡⫤","cot":[{"info":"⫖↰⪸1589∼⫖↰⪸90A=NaN","layer":3},{"info":"⫖↰⪸14B0⫥∨⫟⫖↰⪸2A33=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"($4394$≹⇙⪍$1794$⋷$1541$≹⇙⪍$1860$⫡⨏$2408$⪮%⊝$6011$⋳⪒$1285$≧⫂∧$2247$)⫸⊐($7794$⊭↱$2477$)⪛(↯⪼$2388$)⇷(⨵≀≌$3447$)⪮%⊝($3160$↙$4289$)","expression":"(⫖↰⪸2662≹⇙⪍⫖↰⪸1056⋷⫖↰⪸A85≹⇙⪍⫖↰⪸10B0⫡⨏⫖↰⪸1488⪮%⊝⫖↰⪸358B⋳⪒⫖↰⪸8B1≧⫂∧⫖↰⪸1373)⫸⊐(⫖↰⪸4616⊭↱⫖↰⪸1525)⪛(↯⪼⫖↰⪸1470)⇷(⨵≀≌⫖↰⪸1BB3)⪮%⊝(⫖↰⪸19B4↙⫖↰⪸2595)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4932,"operation_count":15,"complexity_ratio":328.8,"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":4394,"base":12},"right_expr":{"type":"numeric_atoms","value":1794,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1541,"base":12},"right_expr":{"type":"numeric_atoms","value":1860,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2408,"base":12},"right_expr":{"type":"numeric_atoms","value":6011,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1285,"base":12},"right_expr":{"type":"numeric_atoms","value":2247,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7794,"base":12},"right_expr":{"type":"numeric_atoms","value":2477,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2388,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3447,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3160,"base":12},"right_expr":{"type":"numeric_atoms","value":4289,"base":12}}}}},"used_operators":["mqXw5SEYmG","QMFrweE19q","23Mk6UjR3U","AHs5Up7iyr","12rbrZMWeM","IWmyXbctLI","Ph9nP6C5qx","mp7IySMOzn","uFcxV4UQCh","COABgblf1C","8jW3W4yZS5","srAu1WTS94","yyfyN0ffXY"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4394","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1794, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1541","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1860, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=2408","layer":4},{"info":"number node, value=6011","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=6011, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5132","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=2247, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1774","layer":3},{"info":"compute binary expreesion, left_input=5132, right_input=1774, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8203","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8203, 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=7794","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=7794, right_input=2477, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10629","layer":3},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, 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=-10629, right_input=-21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-3","layer":2},{"info":"number node, value=3447","layer":4},{"info":"compute unary expreesion, input=3447, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10341","layer":3},{"info":"number node, value=3160","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=4289, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12867","layer":3},{"info":"compute binary expreesion, left_input=-10341, right_input=-12867, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-20366","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-20366, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-29997","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-29997, 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":"(⫖↰⪸2662≹⇙⪍⫖↰⪸1056⋷⫖↰⪸A85≹⇙⪍⫖↰⪸10B0⫡⨏⫖↰⪸1488⪮%⊝⫖↰⪸358B⋳⪒⫖↰⪸8B1≧⫂∧⫖↰⪸1373)⫸⊐(⫖↰⪸4616⊭↱⫖↰⪸1525)⪛(↯⪼⫖↰⪸1470)⇷(⨵≀≌⫖↰⪸1BB3)⪮%⊝(⫖↰⪸19B4↙⫖↰⪸2595)=NaN","reverse_text":"NaN=(⫖↰⪸2662≹⇙⪍⫖↰⪸1056⋷⫖↰⪸A85≹⇙⪍⫖↰⪸10B0⫡⨏⫖↰⪸1488⪮%⊝⫖↰⪸358B⋳⪒⫖↰⪸8B1≧⫂∧⫖↰⪸1373)⫸⊐(⫖↰⪸4616⊭↱⫖↰⪸1525)⪛(↯⪼⫖↰⪸1470)⇷(⨵≀≌⫖↰⪸1BB3)⪮%⊝(⫖↰⪸19B4↙⫖↰⪸2595)","cot":[{"info":"⫖↰⪸2662≹⇙⪍⫖↰⪸1056=NaN","layer":3},{"info":"⫖↰⪸A85≹⇙⪍⫖↰⪸10B0=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⫖↰⪸1488⪮%⊝⫖↰⪸358B=⫖↰⪸2B78","layer":3},{"info":"⫖↰⪸8B1≧⫂∧⫖↰⪸1373=⫖↰⪸103A","layer":3},{"info":"⫖↰⪸2B78⋳⪒⫖↰⪸103A=⫖↰⪸48B7","layer":2},{"info":"NaN⫡⨏⫖↰⪸48B7=NaN","layer":1},{"info":"⫖↰⪸4616⊭↱⫖↰⪸1525=⫖↰⪸-6199","layer":3},{"info":"↯⪼⫖↰⪸1470=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-6199⪛⫖↰⪸-19=⫖↰⪸-3","layer":2},{"info":"⨵≀≌⫖↰⪸1BB3=⫖↰⪸-5B99","layer":3},{"info":"⫖↰⪸19B4↙⫖↰⪸2595=⫖↰⪸-7543","layer":3},{"info":"⫖↰⪸-5B99⪮%⊝⫖↰⪸-7543=⫖↰⪸-B952","layer":2},{"info":"⫖↰⪸-3⇷⫖↰⪸-B952=⫖↰⪸-15439","layer":1},{"info":"NaN⫸⊐⫖↰⪸-15439=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"≦∁(($2284$%$4726$)≦≮≮)⋥≓≎(⩦⩻⨪(⨵≀≌$1439$))","expression":"≦∁((⫖↰⪸13A4%⫖↰⪸289A)≦≮≮)⋥≓≎(⩦⩻⨪(⨵≀≌⫖↰⪸9BB))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":36,"operation_count":6,"complexity_ratio":6.0,"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":2284,"base":12},"right_expr":{"type":"numeric_atoms","value":4726,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1439,"base":12}}}}},"used_operators":["9ICcGScMcE","Qy55tPpLXF","D4vGDi5EA2","k8jYdgA6NY","2td37pGCOC","srAu1WTS94"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸-798","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"number node, value=4726","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=4726, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2284","layer":3},{"info":"compute unary expreesion, input=2284, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6852","layer":2},{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4317","layer":3},{"info":"compute unary expreesion, input=-4317, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4317","layer":2},{"info":"compute binary expreesion, left_input=-6852, right_input=-4317, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1124","layer":0}],"base":12,"result_base":12,"text":"≦∁((⫖↰⪸13A4%⫖↰⪸289A)≦≮≮)⋥≓≎(⩦⩻⨪(⨵≀≌⫖↰⪸9BB))=⫖↰⪸-798","reverse_text":"⫖↰⪸-798=≦∁((⫖↰⪸13A4%⫖↰⪸289A)≦≮≮)⋥≓≎(⩦⩻⨪(⨵≀≌⫖↰⪸9BB))","cot":[{"info":"⫖↰⪸13A4%⫖↰⪸289A=⫖↰⪸13A4","layer":3},{"info":"⫖↰⪸13A4≦≮≮=⫖↰⪸-3B70","layer":2},{"info":"⨵≀≌⫖↰⪸9BB=⫖↰⪸-25B9","layer":3},{"info":"⩦⩻⨪⫖↰⪸-25B9=⫖↰⪸-25B9","layer":2},{"info":"⫖↰⪸-3B70⋥≓≎⫖↰⪸-25B9=⫖↰⪸57","layer":1},{"info":"≦∁⫖↰⪸57=⫖↰⪸-798","layer":0}]}
{"id":389,"expression_no_base_symbol":"(($2418$⊭↱$3950$)⨓($1568$⋷$1722$)⪠⩆⊳)⊭∹↮","expression":"((⫖↰⪸1496⊭↱⫖↰⪸2352)⨓(⫖↰⪸AA8⋷⫖↰⪸BB6)⪠⩆⊳)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1898,"operation_count":5,"complexity_ratio":379.6,"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":2418,"base":12},"right_expr":{"type":"numeric_atoms","value":3950,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1568,"base":12},"right_expr":{"type":"numeric_atoms","value":1722,"base":12}}}}},"used_operators":["xNBdhnnwKq","JLbD19bQDL","3ViojmjbAp","COABgblf1C","23Mk6UjR3U"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2418","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=3950, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3069","layer":3},{"info":"number node, value=1568","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1722, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1876","layer":3},{"info":"compute binary expreesion, left_input=3069, right_input=1876, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1879","layer":2},{"info":"compute unary expreesion, input=-1879, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1496⊭↱⫖↰⪸2352)⨓(⫖↰⪸AA8⋷⫖↰⪸BB6)⪠⩆⊳)⊭∹↮=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸1496⊭↱⫖↰⪸2352)⨓(⫖↰⪸AA8⋷⫖↰⪸BB6)⪠⩆⊳)⊭∹↮","cot":[{"info":"⫖↰⪸1496⊭↱⫖↰⪸2352=⫖↰⪸1939","layer":3},{"info":"⫖↰⪸AA8⋷⫖↰⪸BB6=⫖↰⪸1104","layer":3},{"info":"⫖↰⪸1939⨓⫖↰⪸1104=⫖↰⪸-1107","layer":2},{"info":"⫖↰⪸-1107⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊭∹↮=⫖↰⪸0","layer":0}]}
{"id":390,"expression_no_base_symbol":"↩(↣≠⋷$1564$≹⇙⪍$2006$)⨳⩥⨓(($1194$⫡⨏$2656$)↺($2706$+$6530$))","expression":"↩(↣≠⋷⫖↰⪸AA4≹⇙⪍⫖↰⪸11B2)⨳⩥⨓((⫖↰⪸836⫡⨏⫖↰⪸1654)↺(⫖↰⪸1696+⫖↰⪸3942))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":36,"operation_count":7,"complexity_ratio":5.142857142857143,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1564,"base":12},"right_expr":{"type":"numeric_atoms","value":2006,"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":2656,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2706,"base":12},"right_expr":{"type":"numeric_atoms","value":6530,"base":12}}}}},"used_operators":["jLgFTUHLKL","nCS4ZIUYfx","Asc51vEJeQ","AHs5Up7iyr","7j4O788W3g","QMFrweE19q","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1564","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=1564, 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":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=1194","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=2656, 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=12065","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=6530, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9236","layer":3},{"info":"compute binary expreesion, left_input=12065, right_input=9236, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9236","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9236, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↩(↣≠⋷⫖↰⪸AA4≹⇙⪍⫖↰⪸11B2)⨳⩥⨓((⫖↰⪸836⫡⨏⫖↰⪸1654)↺(⫖↰⪸1696+⫖↰⪸3942))=NaN","reverse_text":"NaN=↩(↣≠⋷⫖↰⪸AA4≹⇙⪍⫖↰⪸11B2)⨳⩥⨓((⫖↰⪸836⫡⨏⫖↰⪸1654)↺(⫖↰⪸1696+⫖↰⪸3942))","cot":[{"info":"⫖↰⪸AA4≹⇙⪍⫖↰⪸11B2=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸836⫡⨏⫖↰⪸1654=⫖↰⪸6B95","layer":3},{"info":"⫖↰⪸1696+⫖↰⪸3942=⫖↰⪸5418","layer":3},{"info":"⫖↰⪸6B95↺⫖↰⪸5418=⫖↰⪸5418","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸5418=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"(↩(-$6186$⪄$1906$))⋓(($2875$⊭∹↮)+(↔$2607$))∀⇚≩($2104$∑⇟⊟$4173$⇼⇔∾($1215$⊉≛↸$2265$))","expression":"(↩(-⫖↰⪸36B6⪄⫖↰⪸112A))⋓((⫖↰⪸17B7⊭∹↮)+(↔⫖↰⪸1613))∀⇚≩(⫖↰⪸1274∑⇟⊟⫖↰⪸24B9⇼⇔∾(⫖↰⪸853⊉≛↸⫖↰⪸1389))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24056,"operation_count":11,"complexity_ratio":2186.909090909091,"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":6186,"base":12},"right_expr":{"type":"numeric_atoms","value":1906,"base":12}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2875,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2607,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2104,"base":12},"right_expr":{"type":"numeric_atoms","value":4173,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1215,"base":12},"right_expr":{"type":"numeric_atoms","value":2265,"base":12}}}}},"used_operators":["T2fj7uvVaJ","jLgFTUHLKL","t8gj7n24qd","SUmda5xLS4","LRNGc0VcxI","W4YGzv6Whe","xNBdhnnwKq","ruOEQAzv1W","tifHPKVTfV","U7g4x0WXJJ","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6186","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=6186, right_input=1906, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-919241","layer":3},{"info":"compute unary expreesion, input=-919241, op_id = t8gj7n24qd, unary_op_definition = 'None', output=919241","layer":2},{"info":"compute unary expreesion, input=919241, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7351148","layer":1},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5750","layer":3},{"info":"number node, value=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2334","layer":3},{"info":"compute binary expreesion, left_input=5750, right_input=-2334, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3416","layer":2},{"info":"number node, value=2104","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=4173, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1215","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=2265, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2430","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2430, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3416, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7351148, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↩(-⫖↰⪸36B6⪄⫖↰⪸112A))⋓((⫖↰⪸17B7⊭∹↮)+(↔⫖↰⪸1613))∀⇚≩(⫖↰⪸1274∑⇟⊟⫖↰⪸24B9⇼⇔∾(⫖↰⪸853⊉≛↸⫖↰⪸1389))=NaN","reverse_text":"NaN=(↩(-⫖↰⪸36B6⪄⫖↰⪸112A))⋓((⫖↰⪸17B7⊭∹↮)+(↔⫖↰⪸1613))∀⇚≩(⫖↰⪸1274∑⇟⊟⫖↰⪸24B9⇼⇔∾(⫖↰⪸853⊉≛↸⫖↰⪸1389))","cot":[{"info":"⫖↰⪸36B6⪄⫖↰⪸112A=⫖↰⪸-383B75","layer":3},{"info":"-⫖↰⪸-383B75=⫖↰⪸383B75","layer":2},{"info":"↩⫖↰⪸383B75=⫖↰⪸-2566178","layer":1},{"info":"⫖↰⪸17B7⊭∹↮=⫖↰⪸33B2","layer":3},{"info":"↔⫖↰⪸1613=⫖↰⪸-1426","layer":3},{"info":"⫖↰⪸33B2+⫖↰⪸-1426=⫖↰⪸1B88","layer":2},{"info":"⫖↰⪸1274∑⇟⊟⫖↰⪸24B9=NaN","layer":3},{"info":"⫖↰⪸853⊉≛↸⫖↰⪸1389=⫖↰⪸14A6","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸14A6=NaN","layer":2},{"info":"⫖↰⪸1B88∀⇚≩NaN=NaN","layer":1},{"info":"⫖↰⪸-2566178⋓NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(($5627$⪄$3211$)≭($1224$+$6228$))⋓($3105$⨐⩸⫘$1223$)⨓($2683$⊘)⊭↱(($1720$⩨$2806$)⋳⪒$2947$+⇶⊼$1290$∲⫓$2540$⋓$2333$*$2583$≭$2801$)","expression":"((⫖↰⪸330B⪄⫖↰⪸1A37)≭(⫖↰⪸860+⫖↰⪸3730))⋓(⫖↰⪸1969⨐⩸⫘⫖↰⪸85B)⨓(⫖↰⪸1677⊘)⊭↱((⫖↰⪸BB4⩨⫖↰⪸175A)⋳⪒⫖↰⪸1857+⇶⊼⫖↰⪸8B6∲⫓⫖↰⪸1578⋓⫖↰⪸1425*⫖↰⪸15B3≭⫖↰⪸1755)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":172,"operation_count":15,"complexity_ratio":11.466666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5627,"base":12},"right_expr":{"type":"numeric_atoms","value":3211,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1224,"base":12},"right_expr":{"type":"numeric_atoms","value":6228,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3105,"base":12},"right_expr":{"type":"numeric_atoms","value":1223,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2683,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1720,"base":12},"right_expr":{"type":"numeric_atoms","value":2806,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2947,"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":2540,"base":12},"right_expr":{"type":"numeric_atoms","value":2333,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2583,"base":12},"right_expr":{"type":"numeric_atoms","value":2801,"base":12}}}}},"used_operators":["COABgblf1C","T2fj7uvVaJ","rxpJgHHUmx","SUmda5xLS4","W4YGzv6Whe","3ViojmjbAp","fu6greOZ01","gu96TGCTMs","i8ToyICDmI","12rbrZMWeM","2DlMacCsIx","TpPTUOHfaN","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5627","layer":4},{"info":"number node, value=3211","layer":4},{"info":"compute binary expreesion, left_input=5627, right_input=3211, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-841729","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=6228","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=6228, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7452","layer":3},{"info":"compute binary expreesion, left_input=-841729, right_input=7452, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3105","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=3105, right_input=1223, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2683","layer":4},{"info":"compute unary expreesion, input=2683, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1720","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=2806, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2947","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=1290, 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=-3, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2540","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=2333, 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=2583","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=2801, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸330B⪄⫖↰⪸1A37)≭(⫖↰⪸860+⫖↰⪸3730))⋓(⫖↰⪸1969⨐⩸⫘⫖↰⪸85B)⨓(⫖↰⪸1677⊘)⊭↱((⫖↰⪸BB4⩨⫖↰⪸175A)⋳⪒⫖↰⪸1857+⇶⊼⫖↰⪸8B6∲⫓⫖↰⪸1578⋓⫖↰⪸1425*⫖↰⪸15B3≭⫖↰⪸1755)=NaN","reverse_text":"NaN=((⫖↰⪸330B⪄⫖↰⪸1A37)≭(⫖↰⪸860+⫖↰⪸3730))⋓(⫖↰⪸1969⨐⩸⫘⫖↰⪸85B)⨓(⫖↰⪸1677⊘)⊭↱((⫖↰⪸BB4⩨⫖↰⪸175A)⋳⪒⫖↰⪸1857+⇶⊼⫖↰⪸8B6∲⫓⫖↰⪸1578⋓⫖↰⪸1425*⫖↰⪸15B3≭⫖↰⪸1755)","cot":[{"info":"⫖↰⪸330B⪄⫖↰⪸1A37=⫖↰⪸-347141","layer":3},{"info":"⫖↰⪸860+⫖↰⪸3730=⫖↰⪸4390","layer":3},{"info":"⫖↰⪸-347141≭⫖↰⪸4390=NaN","layer":2},{"info":"⫖↰⪸1969⨐⩸⫘⫖↰⪸85B=NaN","layer":3},{"info":"⫖↰⪸1677⊘=⫖↰⪸0","layer":3},{"info":"NaN⨓⫖↰⪸0=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫖↰⪸BB4⩨⫖↰⪸175A=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸1857+⇶⊼⫖↰⪸8B6=NaN","layer":3},{"info":"⫖↰⪸-3⋳⪒NaN=NaN","layer":2},{"info":"⫖↰⪸1578⋓⫖↰⪸1425=⫖↰⪸0","layer":3},{"info":"⫖↰⪸15B3≭⫖↰⪸1755=NaN","layer":3},{"info":"⫖↰⪸0*NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"($5129$⪒$3203$)⪢($1747$⨵⪆$4535$)⩷∴(⩦⩻⨪$1793$⫥∨⫟$3574$)⫡⨏(($1210$∸)≧⫂∧$1876$⊴$2771$⫡⨏($5340$↬$5467$⊘))","expression":"(⫖↰⪸2B75⪒⫖↰⪸1A2B)⪢(⫖↰⪸1017⨵⪆⫖↰⪸275B)⩷∴(⩦⩻⨪⫖↰⪸1055⫥∨⫟⫖↰⪸209A)⫡⨏((⫖↰⪸84A∸)≧⫂∧⫖↰⪸1104⊴⫖↰⪸172B⫡⨏(⫖↰⪸3110↬⫖↰⪸31B7⊘))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7910,"operation_count":13,"complexity_ratio":608.4615384615385,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5129,"base":12},"right_expr":{"type":"numeric_atoms","value":3203,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1747,"base":12},"right_expr":{"type":"numeric_atoms","value":4535,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1793,"base":12},"right_expr":{"type":"numeric_atoms","value":3574,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1210,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1876,"base":12},"right_expr":{"type":"numeric_atoms","value":2771,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5340,"base":12},"right_expr":{"type":"numeric_atoms","value":5467,"base":12}}}}},"used_operators":["QMFrweE19q","9FxExcQeMw","dWAJyo7jo9","f6k1SAg4EE","2DQ55sFlQl","2td37pGCOC","KYD54nUTWz","Ph9nP6C5qx","o20kRiQErp","Nsiff2A1zJ","gu96TGCTMs","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5129","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=3203, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8332","layer":3},{"info":"number node, value=1747","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=4535, 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=-8332, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1793","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=3574, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1876","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=2771, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=5340","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=5340, right_input=5467, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫖↰⪸2B75⪒⫖↰⪸1A2B)⪢(⫖↰⪸1017⨵⪆⫖↰⪸275B)⩷∴(⩦⩻⨪⫖↰⪸1055⫥∨⫟⫖↰⪸209A)⫡⨏((⫖↰⪸84A∸)≧⫂∧⫖↰⪸1104⊴⫖↰⪸172B⫡⨏(⫖↰⪸3110↬⫖↰⪸31B7⊘))=NaN","reverse_text":"NaN=(⫖↰⪸2B75⪒⫖↰⪸1A2B)⪢(⫖↰⪸1017⨵⪆⫖↰⪸275B)⩷∴(⩦⩻⨪⫖↰⪸1055⫥∨⫟⫖↰⪸209A)⫡⨏((⫖↰⪸84A∸)≧⫂∧⫖↰⪸1104⊴⫖↰⪸172B⫡⨏(⫖↰⪸3110↬⫖↰⪸31B7⊘))","cot":[{"info":"⫖↰⪸2B75⪒⫖↰⪸1A2B=⫖↰⪸-49A4","layer":3},{"info":"⫖↰⪸1017⨵⪆⫖↰⪸275B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-49A4⪢⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸1055⫥∨⫟⫖↰⪸209A=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸84A∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸1104⊴⫖↰⪸172B=NaN","layer":3},{"info":"⫖↰⪸129≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸3110↬⫖↰⪸31B7=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"(($2625$⪐)⇷(⨵≀≌$3378$))⪮%⊝(($3863$⋷$5984$)⩷∴($1188$⋝⋈⪟$1488$))∲⫓(↣≠⋷(↯⪼($7658$⨎$1901$)))","expression":"((⫖↰⪸1629⪐)⇷(⨵≀≌⫖↰⪸1B56))⪮%⊝((⫖↰⪸229B⋷⫖↰⪸3568)⩷∴(⫖↰⪸830⋝⋈⪟⫖↰⪸A40))∲⫓(↣≠⋷(↯⪼(⫖↰⪸4522⨎⫖↰⪸1125)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":74011,"operation_count":11,"complexity_ratio":6728.272727272727,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2625,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3378,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3863,"base":12},"right_expr":{"type":"numeric_atoms","value":5984,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1188,"base":12},"right_expr":{"type":"numeric_atoms","value":1488,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7658,"base":12},"right_expr":{"type":"numeric_atoms","value":1901,"base":12}}}}},"used_operators":["i8ToyICDmI","IWmyXbctLI","mp7IySMOzn","eH2TOUuTDT","srAu1WTS94","9FxExcQeMw","23Mk6UjR3U","2DDjHMKMc0","Asc51vEJeQ","8jW3W4yZS5","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2625","layer":4},{"info":"compute unary expreesion, input=2625, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5250","layer":3},{"info":"number node, value=3378","layer":4},{"info":"compute unary expreesion, input=3378, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10134","layer":3},{"info":"compute binary expreesion, left_input=5250, right_input=-10134, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3863","layer":4},{"info":"number node, value=5984","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=5984, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8105","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1488, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1188","layer":3},{"info":"compute binary expreesion, left_input=8105, right_input=1188, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13802, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=7658","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=7658, right_input=1901, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1901","layer":3},{"info":"compute unary expreesion, input=1901, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1629⪐)⇷(⨵≀≌⫖↰⪸1B56))⪮%⊝((⫖↰⪸229B⋷⫖↰⪸3568)⩷∴(⫖↰⪸830⋝⋈⪟⫖↰⪸A40))∲⫓(↣≠⋷(↯⪼(⫖↰⪸4522⨎⫖↰⪸1125)))=NaN","reverse_text":"NaN=((⫖↰⪸1629⪐)⇷(⨵≀≌⫖↰⪸1B56))⪮%⊝((⫖↰⪸229B⋷⫖↰⪸3568)⩷∴(⫖↰⪸830⋝⋈⪟⫖↰⪸A40))∲⫓(↣≠⋷(↯⪼(⫖↰⪸4522⨎⫖↰⪸1125)))","cot":[{"info":"⫖↰⪸1629⪐=⫖↰⪸3056","layer":3},{"info":"⨵≀≌⫖↰⪸1B56=⫖↰⪸-5A46","layer":3},{"info":"⫖↰⪸3056⇷⫖↰⪸-5A46=NaN","layer":2},{"info":"⫖↰⪸229B⋷⫖↰⪸3568=⫖↰⪸4835","layer":3},{"info":"⫖↰⪸830⋝⋈⪟⫖↰⪸A40=⫖↰⪸830","layer":3},{"info":"⫖↰⪸4835⩷∴⫖↰⪸830=⫖↰⪸7BA2","layer":2},{"info":"NaN⪮%⊝⫖↰⪸7BA2=NaN","layer":1},{"info":"⫖↰⪸4522⨎⫖↰⪸1125=⫖↰⪸1125","layer":3},{"info":"↯⪼⫖↰⪸1125=⫖↰⪸-19","layer":2},{"info":"↣≠⋷⫖↰⪸-19=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"(⪝⪂⫅(($1741$*$3133$)⩚⊴⇥$3485$⪮%⊝$2592$))⪘⫢((∂$1734$)+⇶⊼($5315$≫≃)⩨$1251$∀⇚≩$2933$⩚⊴⇥(⩦⩻⨪$2732$))","expression":"(⪝⪂⫅((⫖↰⪸1011*⫖↰⪸1991)⩚⊴⇥⫖↰⪸2025⪮%⊝⫖↰⪸1600))⪘⫢((∂⫖↰⪸1006)+⇶⊼(⫖↰⪸30AB≫≃)⩨⫖↰⪸883∀⇚≩⫖↰⪸1845⩚⊴⇥(⩦⩻⨪⫖↰⪸16B8))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10688,"operation_count":12,"complexity_ratio":890.6666666666666,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1741,"base":12},"right_expr":{"type":"numeric_atoms","value":3133,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3485,"base":12},"right_expr":{"type":"numeric_atoms","value":2592,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1734,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5315,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1251,"base":12},"right_expr":{"type":"numeric_atoms","value":2933,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2732,"base":12}}}}},"used_operators":["oacrs7FA3X","XTarYq4gQB","NTOWxs364D","9HNa5Wba9A","IWmyXbctLI","2DlMacCsIx","TpPTUOHfaN","Uaa54Peajs","X99M06cbEe","LRNGc0VcxI","2td37pGCOC"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=3133, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5454553","layer":3},{"info":"number node, value=3485","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=2592, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7286","layer":3},{"info":"compute binary expreesion, left_input=5454553, right_input=7286, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5461960","layer":2},{"info":"compute unary expreesion, input=-5461960, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=802908120","layer":1},{"info":"number node, value=1734","layer":4},{"info":"compute unary expreesion, input=1734, 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=5315","layer":4},{"info":"compute unary expreesion, input=5315, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12031","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12031, 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=1251","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=2933, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2732, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=802908120, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅((⫖↰⪸1011*⫖↰⪸1991)⩚⊴⇥⫖↰⪸2025⪮%⊝⫖↰⪸1600))⪘⫢((∂⫖↰⪸1006)+⇶⊼(⫖↰⪸30AB≫≃)⩨⫖↰⪸883∀⇚≩⫖↰⪸1845⩚⊴⇥(⩦⩻⨪⫖↰⪸16B8))=NaN","reverse_text":"NaN=(⪝⪂⫅((⫖↰⪸1011*⫖↰⪸1991)⩚⊴⇥⫖↰⪸2025⪮%⊝⫖↰⪸1600))⪘⫢((∂⫖↰⪸1006)+⇶⊼(⫖↰⪸30AB≫≃)⩨⫖↰⪸883∀⇚≩⫖↰⪸1845⩚⊴⇥(⩦⩻⨪⫖↰⪸16B8))","cot":[{"info":"⫖↰⪸1011*⫖↰⪸1991=⫖↰⪸19B06A1","layer":3},{"info":"⫖↰⪸2025⪮%⊝⫖↰⪸1600=⫖↰⪸4272","layer":3},{"info":"⫖↰⪸19B06A1⩚⊴⇥⫖↰⪸4272=⫖↰⪸-19B4A34","layer":2},{"info":"⪝⪂⫅⫖↰⪸-19B4A34=⫖↰⪸1A4A85AA0","layer":1},{"info":"∂⫖↰⪸1006=NaN","layer":3},{"info":"⫖↰⪸30AB≫≃=⫖↰⪸6B67","layer":3},{"info":"NaN+⇶⊼⫖↰⪸6B67=NaN","layer":2},{"info":"⫖↰⪸883∀⇚≩⫖↰⪸1845=NaN","layer":3},{"info":"⩦⩻⨪⫖↰⪸16B8=⫖↰⪸16B8","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸16B8=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫖↰⪸1A4A85AA0⪘⫢NaN=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"((($4227$*$2247$)⨐⩸⫘($6161$⪄$2550$))⩤)⨪↰⇹(($1277$⨎$1001$∲⫓$5265$⨳⩥⨓$9162$)∑⇟⊟((≦∁$1029$)⨳⩥⨓$5848$⨐⩸⫘$8787$))","expression":"(((⫖↰⪸2543*⫖↰⪸1373)⨐⩸⫘(⫖↰⪸3695⪄⫖↰⪸1586))⩤)⨪↰⇹((⫖↰⪸8A5⨎⫖↰⪸6B5∲⫓⫖↰⪸3069⨳⩥⨓⫖↰⪸5376)∑⇟⊟((≦∁⫖↰⪸719)⨳⩥⨓⫖↰⪸3474⨐⩸⫘⫖↰⪸5103))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2357,"operation_count":12,"complexity_ratio":196.41666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4227,"base":12},"right_expr":{"type":"numeric_atoms","value":2247,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6161,"base":12},"right_expr":{"type":"numeric_atoms","value":2550,"base":12}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1277,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5265,"base":12},"right_expr":{"type":"numeric_atoms","value":9162,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1029,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5848,"base":12},"right_expr":{"type":"numeric_atoms","value":8787,"base":12}}}}},"used_operators":["tmPS8pqC7x","Z2TMIBDE3Q","fu6greOZ01","9HNa5Wba9A","SUmda5xLS4","U7g4x0WXJJ","i8ToyICDmI","rJVOvQCfKK","nCS4ZIUYfx","9ICcGScMcE"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4227","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=4227, right_input=2247, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9498069","layer":3},{"info":"number node, value=6161","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=6161, right_input=2550, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-918117","layer":3},{"info":"compute binary expreesion, left_input=9498069, right_input=-918117, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=1001, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1001","layer":3},{"info":"number node, value=5265","layer":4},{"info":"number node, value=9162","layer":4},{"info":"compute binary expreesion, left_input=5265, right_input=9162, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3897","layer":3},{"info":"compute binary expreesion, left_input=1001, right_input=3897, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1029","layer":3},{"info":"number node, value=5848","layer":4},{"info":"number node, value=8787","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=8787, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1029, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(((⫖↰⪸2543*⫖↰⪸1373)⨐⩸⫘(⫖↰⪸3695⪄⫖↰⪸1586))⩤)⨪↰⇹((⫖↰⪸8A5⨎⫖↰⪸6B5∲⫓⫖↰⪸3069⨳⩥⨓⫖↰⪸5376)∑⇟⊟((≦∁⫖↰⪸719)⨳⩥⨓⫖↰⪸3474⨐⩸⫘⫖↰⪸5103))=NaN","reverse_text":"NaN=(((⫖↰⪸2543*⫖↰⪸1373)⨐⩸⫘(⫖↰⪸3695⪄⫖↰⪸1586))⩤)⨪↰⇹((⫖↰⪸8A5⨎⫖↰⪸6B5∲⫓⫖↰⪸3069⨳⩥⨓⫖↰⪸5376)∑⇟⊟((≦∁⫖↰⪸719)⨳⩥⨓⫖↰⪸3474⨐⩸⫘⫖↰⪸5103))","cot":[{"info":"⫖↰⪸2543*⫖↰⪸1373=⫖↰⪸3220699","layer":3},{"info":"⫖↰⪸3695⪄⫖↰⪸1586=⫖↰⪸-383399","layer":3},{"info":"⫖↰⪸3220699⨐⩸⫘⫖↰⪸-383399=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⫖↰⪸8A5⨎⫖↰⪸6B5=⫖↰⪸6B5","layer":3},{"info":"⫖↰⪸3069⨳⩥⨓⫖↰⪸5376=⫖↰⪸2309","layer":3},{"info":"⫖↰⪸6B5∲⫓⫖↰⪸2309=⫖↰⪸0","layer":2},{"info":"≦∁⫖↰⪸719=⫖↰⪸719","layer":3},{"info":"⫖↰⪸3474⨐⩸⫘⫖↰⪸5103=NaN","layer":3},{"info":"⫖↰⪸719⨳⩥⨓NaN=NaN","layer":2},{"info":"⫖↰⪸0∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"(($3526$↙$4419$)⨎(↔$1745$)⪨≂($4139$⫡⨏$3155$)≎⊠⪸($1032$⩚⊴⇥$1953$))≹⇙⪍(⨰⫟⨤(∂($4605$⩚⊴⇥$1114$)))","expression":"((⫖↰⪸205A↙⫖↰⪸2683)⨎(↔⫖↰⪸1015)⪨≂(⫖↰⪸248B⫡⨏⫖↰⪸19AB)≎⊠⪸(⫖↰⪸720⩚⊴⇥⫖↰⪸1169))≹⇙⪍(⨰⫟⨤(∂(⫖↰⪸27B9⩚⊴⇥⫖↰⪸78A)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26341,"operation_count":11,"complexity_ratio":2394.6363636363635,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3526,"base":12},"right_expr":{"type":"numeric_atoms","value":4419,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1745,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4139,"base":12},"right_expr":{"type":"numeric_atoms","value":3155,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1032,"base":12},"right_expr":{"type":"numeric_atoms","value":1953,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4605,"base":12},"right_expr":{"type":"numeric_atoms","value":1114,"base":12}}}}},"used_operators":["AHs5Up7iyr","sdazOOVcIp","rJVOvQCfKK","yyfyN0ffXY","ruOEQAzv1W","bJkvcejdHO","QMFrweE19q","NTOWxs364D","Tw270M8GLb","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3526","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=4419, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13257","layer":3},{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1472","layer":3},{"info":"compute binary expreesion, left_input=-13257, right_input=-1472, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1472","layer":2},{"info":"number node, value=4139","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=4139, right_input=3155, 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=27788","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1953, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3106","layer":3},{"info":"compute binary expreesion, left_input=27788, right_input=-3106, 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=-1472, right_input=67, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2976","layer":1},{"info":"number node, value=4605","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=1114, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5840","layer":3},{"info":"compute unary expreesion, input=-5840, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=5576","layer":2},{"info":"compute unary expreesion, input=5576, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2976, 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":"((⫖↰⪸205A↙⫖↰⪸2683)⨎(↔⫖↰⪸1015)⪨≂(⫖↰⪸248B⫡⨏⫖↰⪸19AB)≎⊠⪸(⫖↰⪸720⩚⊴⇥⫖↰⪸1169))≹⇙⪍(⨰⫟⨤(∂(⫖↰⪸27B9⩚⊴⇥⫖↰⪸78A)))=NaN","reverse_text":"NaN=((⫖↰⪸205A↙⫖↰⪸2683)⨎(↔⫖↰⪸1015)⪨≂(⫖↰⪸248B⫡⨏⫖↰⪸19AB)≎⊠⪸(⫖↰⪸720⩚⊴⇥⫖↰⪸1169))≹⇙⪍(⨰⫟⨤(∂(⫖↰⪸27B9⩚⊴⇥⫖↰⪸78A)))","cot":[{"info":"⫖↰⪸205A↙⫖↰⪸2683=⫖↰⪸-7809","layer":3},{"info":"↔⫖↰⪸1015=⫖↰⪸-A28","layer":3},{"info":"⫖↰⪸-7809⨎⫖↰⪸-A28=⫖↰⪸-A28","layer":2},{"info":"⫖↰⪸248B⫡⨏⫖↰⪸19AB=⫖↰⪸140B8","layer":3},{"info":"⫖↰⪸720⩚⊴⇥⫖↰⪸1169=⫖↰⪸-196A","layer":3},{"info":"⫖↰⪸140B8≎⊠⪸⫖↰⪸-196A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-A28⪨≂⫖↰⪸57=⫖↰⪸-1880","layer":1},{"info":"⫖↰⪸27B9⩚⊴⇥⫖↰⪸78A=⫖↰⪸-3468","layer":3},{"info":"∂⫖↰⪸-3468=⫖↰⪸3288","layer":2},{"info":"⨰⫟⨤⫖↰⪸3288=NaN","layer":1},{"info":"⫖↰⪸-1880≹⇙⪍NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"↯⪼(((⊄⩳↩$4686$)⊠≄⫣)⨰(≦∁$7866$*$5034$))","expression":"↯⪼(((⊄⩳↩⫖↰⪸2866)⊠≄⫣)⨰(≦∁⫖↰⪸4676*⫖↰⪸2AB6))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5060,"operation_count":6,"complexity_ratio":843.3333333333334,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4686,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7866,"base":12},"right_expr":{"type":"numeric_atoms","value":5034,"base":12}}}}},"used_operators":["8jW3W4yZS5","eewbuw0ToL","DIvbN7qnHd","8w2t5hMYqp","9ICcGScMcE","9HNa5Wba9A"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"⫖↰⪸226319BB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4686","layer":4},{"info":"compute unary expreesion, input=4686, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14058","layer":3},{"info":"compute unary expreesion, input=-14058, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=7866","layer":4},{"info":"number node, value=5034","layer":4},{"info":"compute binary expreesion, left_input=7866, right_input=5034, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=39597444","layer":3},{"info":"compute unary expreesion, input=39597444, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=39597444","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=39597444, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-39597434","layer":1},{"info":"compute unary expreesion, input=-39597434, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=79193951","layer":0}],"base":12,"result_base":12,"text":"↯⪼(((⊄⩳↩⫖↰⪸2866)⊠≄⫣)⨰(≦∁⫖↰⪸4676*⫖↰⪸2AB6))=⫖↰⪸226319BB","reverse_text":"⫖↰⪸226319BB=↯⪼(((⊄⩳↩⫖↰⪸2866)⊠≄⫣)⨰(≦∁⫖↰⪸4676*⫖↰⪸2AB6))","cot":[{"info":"⊄⩳↩⫖↰⪸2866=⫖↰⪸-8176","layer":3},{"info":"⫖↰⪸-8176⊠≄⫣=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4676*⫖↰⪸2AB6=⫖↰⪸11317230","layer":3},{"info":"≦∁⫖↰⪸11317230=⫖↰⪸11317230","layer":2},{"info":"⫖↰⪸0⨰⫖↰⪸11317230=⫖↰⪸-11317222","layer":1},{"info":"↯⪼⫖↰⪸-11317222=⫖↰⪸226319BB","layer":0}]}
{"id":399,"expression_no_base_symbol":"(⨞⊢$1047$⪛$7465$⋝⋈⪟(⊥$5460$))/((∂$2370$)≹⇙⪍(⨰⫟⨤$3568$)⨵⪆(⪲⇎(⪲⇎$5019$)))","expression":"(⨞⊢⫖↰⪸733⪛⫖↰⪸43A1⋝⋈⪟(⊥⫖↰⪸31B0))/((∂⫖↰⪸1456)≹⇙⪍(⨰⫟⨤⫖↰⪸2094)⨵⪆(⪲⇎(⪲⇎⫖↰⪸2AA3)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13450,"operation_count":11,"complexity_ratio":1222.7272727272727,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1047,"base":12},"right_expr":{"type":"numeric_atoms","value":7465,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5460,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2370,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3568,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5019,"base":12}}}}},"used_operators":["XhwjNDsVaA","xUOZtlo3hN","2DDjHMKMc0","uFcxV4UQCh","Q3PJZHRvZv","2DQ55sFlQl","AHs5Up7iyr","Uaa54Peajs","Tw270M8GLb","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=7465","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=7465, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1047","layer":3},{"info":"number node, value=5460","layer":4},{"info":"compute unary expreesion, input=5460, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1047, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=2370","layer":4},{"info":"compute unary expreesion, input=2370, 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=3568","layer":4},{"info":"compute unary expreesion, input=3568, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5019","layer":4},{"info":"compute unary expreesion, input=5019, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10038","layer":3},{"info":"compute unary expreesion, input=10038, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=20076","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20076, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸733⪛⫖↰⪸43A1⋝⋈⪟(⊥⫖↰⪸31B0))/((∂⫖↰⪸1456)≹⇙⪍(⨰⫟⨤⫖↰⪸2094)⨵⪆(⪲⇎(⪲⇎⫖↰⪸2AA3)))=NaN","reverse_text":"NaN=(⨞⊢⫖↰⪸733⪛⫖↰⪸43A1⋝⋈⪟(⊥⫖↰⪸31B0))/((∂⫖↰⪸1456)≹⇙⪍(⨰⫟⨤⫖↰⪸2094)⨵⪆(⪲⇎(⪲⇎⫖↰⪸2AA3)))","cot":[{"info":"⫖↰⪸733⪛⫖↰⪸43A1=⫖↰⪸733","layer":3},{"info":"⊥⫖↰⪸31B0=NaN","layer":3},{"info":"⫖↰⪸733⋝⋈⪟NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"∂⫖↰⪸1456=NaN","layer":3},{"info":"⨰⫟⨤⫖↰⪸2094=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⪲⇎⫖↰⪸2AA3=⫖↰⪸5986","layer":3},{"info":"⪲⇎⫖↰⪸5986=⫖↰⪸B750","layer":2},{"info":"NaN⨵⪆⫖↰⪸B750=⫖↰⪸114","layer":1},{"info":"NaN/⫖↰⪸114=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"($1440$∼$3146$⨁⊸⫻)⪛(⨰⫟⨤($1624$/$3780$))+⇶⊼(+⊝⨔($3131$∀⇚≩$3397$⫥∨⫟$1790$⨰$5956$))","expression":"(⫖↰⪸A00∼⫖↰⪸19A2⨁⊸⫻)⪛(⨰⫟⨤(⫖↰⪸B34/⫖↰⪸2230))+⇶⊼(+⊝⨔(⫖↰⪸198B∀⇚≩⫖↰⪸1B71⫥∨⫟⫖↰⪸1052⨰⫖↰⪸3544))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23028,"operation_count":10,"complexity_ratio":2302.8,"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":1440,"base":12},"right_expr":{"type":"numeric_atoms","value":3146,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1624,"base":12},"right_expr":{"type":"numeric_atoms","value":3780,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3131,"base":12},"right_expr":{"type":"numeric_atoms","value":3397,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1790,"base":12},"right_expr":{"type":"numeric_atoms","value":5956,"base":12}}}}},"used_operators":["TpPTUOHfaN","uFcxV4UQCh","glklzrTFfD","DyGG3AbaNP","Tw270M8GLb","XhwjNDsVaA","DhbWaqg5eL","KYD54nUTWz","LRNGc0VcxI","eewbuw0ToL"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=3146, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=1624","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=3780, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4492662, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3131","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=3131, right_input=3397, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1790","layer":4},{"info":"number node, value=5956","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=5956, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4156","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4156, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 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":"(⫖↰⪸A00∼⫖↰⪸19A2⨁⊸⫻)⪛(⨰⫟⨤(⫖↰⪸B34/⫖↰⪸2230))+⇶⊼(+⊝⨔(⫖↰⪸198B∀⇚≩⫖↰⪸1B71⫥∨⫟⫖↰⪸1052⨰⫖↰⪸3544))=NaN","reverse_text":"NaN=(⫖↰⪸A00∼⫖↰⪸19A2⨁⊸⫻)⪛(⨰⫟⨤(⫖↰⪸B34/⫖↰⪸2230))+⇶⊼(+⊝⨔(⫖↰⪸198B∀⇚≩⫖↰⪸1B71⫥∨⫟⫖↰⪸1052⨰⫖↰⪸3544))","cot":[{"info":"⫖↰⪸A00∼⫖↰⪸19A2=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⫖↰⪸B34/⫖↰⪸2230=⫖↰⪸0","layer":3},{"info":"⨰⫟⨤⫖↰⪸0=⫖↰⪸1607B06","layer":2},{"info":"NaN⪛⫖↰⪸1607B06=NaN","layer":1},{"info":"⫖↰⪸198B∀⇚≩⫖↰⪸1B71=NaN","layer":3},{"info":"⫖↰⪸1052⨰⫖↰⪸3544=⫖↰⪸-24A4","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸-24A4=NaN","layer":2},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":1},{"info":"NaN+⇶⊼⫖↰⪸A6A=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"(∥⊫(⫛⫱⨽($2242$⨽$1289$)))⨐⩸⫘(($1125$⩷∴$3411$⋷$4021$⩷∴$1630$)⩨($4217$⨰$3066$)∀⇚≩(⊙↵-$1097$))","expression":"(∥⊫(⫛⫱⨽(⫖↰⪸136A⨽⫖↰⪸8B5)))⨐⩸⫘((⫖↰⪸799⩷∴⫖↰⪸1B83⋷⫖↰⪸23B1⩷∴⫖↰⪸B3A)⩨(⫖↰⪸2535⨰⫖↰⪸1936)∀⇚≩(⊙↵-⫖↰⪸775))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12971,"operation_count":11,"complexity_ratio":1179.1818181818182,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2242,"base":12},"right_expr":{"type":"numeric_atoms","value":1289,"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":3411,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4021,"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":4217,"base":12},"right_expr":{"type":"numeric_atoms","value":3066,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1097,"base":12}}}}},"used_operators":["fu6greOZ01","P8v4zCKN1o","DlLNRPXxWL","8HhzD0ZcuI","2DlMacCsIx","23Mk6UjR3U","9FxExcQeMw","LRNGc0VcxI","eewbuw0ToL","oWn0xqSxBt"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2242","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=1289, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15082245","layer":3},{"info":"compute unary expreesion, input=-15082245, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1125","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=3411, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4604","layer":3},{"info":"number node, value=4021","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=1630, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4750","layer":3},{"info":"compute binary expreesion, left_input=-4604, right_input=4750, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9208","layer":2},{"info":"number node, value=4217","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=4217, right_input=3066, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1161","layer":3},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1161, right_input=-1, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9208, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"(∥⊫(⫛⫱⨽(⫖↰⪸136A⨽⫖↰⪸8B5)))⨐⩸⫘((⫖↰⪸799⩷∴⫖↰⪸1B83⋷⫖↰⪸23B1⩷∴⫖↰⪸B3A)⩨(⫖↰⪸2535⨰⫖↰⪸1936)∀⇚≩(⊙↵-⫖↰⪸775))=NaN","reverse_text":"NaN=(∥⊫(⫛⫱⨽(⫖↰⪸136A⨽⫖↰⪸8B5)))⨐⩸⫘((⫖↰⪸799⩷∴⫖↰⪸1B83⋷⫖↰⪸23B1⩷∴⫖↰⪸B3A)⩨(⫖↰⪸2535⨰⫖↰⪸1936)∀⇚≩(⊙↵-⫖↰⪸775))","cot":[{"info":"⫖↰⪸136A⨽⫖↰⪸8B5=⫖↰⪸-5074199","layer":3},{"info":"⫛⫱⨽⫖↰⪸-5074199=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫖↰⪸799⩷∴⫖↰⪸1B83=⫖↰⪸-27B8","layer":3},{"info":"⫖↰⪸23B1⩷∴⫖↰⪸B3A=⫖↰⪸28BA","layer":3},{"info":"⫖↰⪸-27B8⋷⫖↰⪸28BA=⫖↰⪸53B4","layer":2},{"info":"⫖↰⪸2535⨰⫖↰⪸1936=⫖↰⪸809","layer":3},{"info":"⊙↵-⫖↰⪸775=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸809∀⇚≩⫖↰⪸-1=NaN","layer":2},{"info":"⫖↰⪸53B4⩨NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($1198$⊉≛↸$2016$)↺(-$2468$)⨵⪆($3753$⫸⊐$9055$⨵⪆(⊥$4923$)))↺((⨰⫟⨤($2044$+$3695$))∸)","expression":"((⫖↰⪸83A⊉≛↸⫖↰⪸1200)↺(-⫖↰⪸1518)⨵⪆(⫖↰⪸2209⫸⊐⫖↰⪸52A7⨵⪆(⊥⫖↰⪸2A23)))↺((⨰⫟⨤(⫖↰⪸1224+⫖↰⪸217B))∸)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22328,"operation_count":11,"complexity_ratio":2029.8181818181818,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":2016,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2468,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3753,"base":12},"right_expr":{"type":"numeric_atoms","value":9055,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4923,"base":12}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2044,"base":12},"right_expr":{"type":"numeric_atoms","value":3695,"base":12}}}}},"used_operators":["7j4O788W3g","2DQ55sFlQl","DZ8iAZOCBD","t8gj7n24qd","mqXw5SEYmG","Q3PJZHRvZv","o20kRiQErp","Tw270M8GLb","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","fu6greOZ01","tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2016, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2396","layer":3},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2468","layer":3},{"info":"compute binary expreesion, left_input=2396, right_input=-2468, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2468","layer":2},{"info":"number node, value=3753","layer":4},{"info":"number node, value=9055","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=9055, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=36095","layer":3},{"info":"number node, value=4923","layer":4},{"info":"compute unary expreesion, input=4923, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=36095, 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=-2468, 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=2044","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=3695, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5739","layer":3},{"info":"compute unary expreesion, input=5739, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=160, 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":0}],"base":12,"result_base":12,"text":"((⫖↰⪸83A⊉≛↸⫖↰⪸1200)↺(-⫖↰⪸1518)⨵⪆(⫖↰⪸2209⫸⊐⫖↰⪸52A7⨵⪆(⊥⫖↰⪸2A23)))↺((⨰⫟⨤(⫖↰⪸1224+⫖↰⪸217B))∸)=⫖↰⪸129","reverse_text":"⫖↰⪸129=((⫖↰⪸83A⊉≛↸⫖↰⪸1200)↺(-⫖↰⪸1518)⨵⪆(⫖↰⪸2209⫸⊐⫖↰⪸52A7⨵⪆(⊥⫖↰⪸2A23)))↺((⨰⫟⨤(⫖↰⪸1224+⫖↰⪸217B))∸)","cot":[{"info":"⫖↰⪸83A⊉≛↸⫖↰⪸1200=⫖↰⪸1478","layer":3},{"info":"-⫖↰⪸1518=⫖↰⪸-1518","layer":3},{"info":"⫖↰⪸1478↺⫖↰⪸-1518=⫖↰⪸-1518","layer":2},{"info":"⫖↰⪸2209⫸⊐⫖↰⪸52A7=⫖↰⪸18A7B","layer":3},{"info":"⊥⫖↰⪸2A23=NaN","layer":3},{"info":"⫖↰⪸18A7B⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-1518⨵⪆⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1224+⫖↰⪸217B=⫖↰⪸33A3","layer":3},{"info":"⨰⫟⨤⫖↰⪸33A3=NaN","layer":2},{"info":"NaN∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸114↺⫖↰⪸129=⫖↰⪸129","layer":0}]}
{"id":403,"expression_no_base_symbol":"(($2332$⫌⩹⨱)⨪↰⇹(↯⪼$2852$)+($1542$↺$4072$)⨰($5220$≎⊠⪸$6592$))≹⇙⪍(((≦∁$1820$)⪐)⊴($1761$⪛$1283$⊭∹↮))","expression":"((⫖↰⪸1424⫌⩹⨱)⨪↰⇹(↯⪼⫖↰⪸1798)+(⫖↰⪸A86↺⫖↰⪸2434)⨰(⫖↰⪸3030≎⊠⪸⫖↰⪸3994))≹⇙⪍(((≦∁⫖↰⪸1078)⪐)⊴(⫖↰⪸1029⪛⫖↰⪸8AB⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8320,"operation_count":13,"complexity_ratio":640.0,"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":2332,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2852,"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":4072,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5220,"base":12},"right_expr":{"type":"numeric_atoms","value":6592,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1820,"base":12}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1761,"base":12},"right_expr":{"type":"numeric_atoms","value":1283,"base":12}}}}},"used_operators":["AHs5Up7iyr","W4YGzv6Whe","tmPS8pqC7x","EBcxylXtPf","8jW3W4yZS5","eewbuw0ToL","7j4O788W3g","bJkvcejdHO","Nsiff2A1zJ","eH2TOUuTDT","9ICcGScMcE","xNBdhnnwKq","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2332","layer":4},{"info":"compute unary expreesion, input=2332, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6065","layer":3},{"info":"number node, value=2852","layer":4},{"info":"compute unary expreesion, input=2852, 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=6065, right_input=-21, 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=6065","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=4072, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4072","layer":3},{"info":"number node, value=5220","layer":4},{"info":"number node, value=6592","layer":4},{"info":"compute binary expreesion, left_input=5220, right_input=6592, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1351507","layer":3},{"info":"compute binary expreesion, left_input=4072, right_input=1351507, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1347425","layer":2},{"info":"compute binary expreesion, left_input=6065, right_input=-1347425, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1341360","layer":1},{"info":"number node, value=1820","layer":4},{"info":"compute unary expreesion, input=1820, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1820","layer":3},{"info":"compute unary expreesion, input=1820, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3640","layer":2},{"info":"number node, value=1761","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1283, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=478","layer":3},{"info":"compute unary expreesion, input=478, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=956","layer":2},{"info":"compute binary expreesion, left_input=3640, right_input=956, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1341360, 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":"((⫖↰⪸1424⫌⩹⨱)⨪↰⇹(↯⪼⫖↰⪸1798)+(⫖↰⪸A86↺⫖↰⪸2434)⨰(⫖↰⪸3030≎⊠⪸⫖↰⪸3994))≹⇙⪍(((≦∁⫖↰⪸1078)⪐)⊴(⫖↰⪸1029⪛⫖↰⪸8AB⊭∹↮))=NaN","reverse_text":"NaN=((⫖↰⪸1424⫌⩹⨱)⨪↰⇹(↯⪼⫖↰⪸1798)+(⫖↰⪸A86↺⫖↰⪸2434)⨰(⫖↰⪸3030≎⊠⪸⫖↰⪸3994))≹⇙⪍(((≦∁⫖↰⪸1078)⪐)⊴(⫖↰⪸1029⪛⫖↰⪸8AB⊭∹↮))","cot":[{"info":"⫖↰⪸1424⫌⩹⨱=⫖↰⪸3615","layer":3},{"info":"↯⪼⫖↰⪸1798=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸3615⨪↰⇹⫖↰⪸-19=⫖↰⪸3615","layer":2},{"info":"⫖↰⪸A86↺⫖↰⪸2434=⫖↰⪸2434","layer":3},{"info":"⫖↰⪸3030≎⊠⪸⫖↰⪸3994=⫖↰⪸552157","layer":3},{"info":"⫖↰⪸2434⨰⫖↰⪸552157=⫖↰⪸-54B915","layer":2},{"info":"⫖↰⪸3615+⫖↰⪸-54B915=⫖↰⪸-548300","layer":1},{"info":"≦∁⫖↰⪸1078=⫖↰⪸1078","layer":3},{"info":"⫖↰⪸1078⪐=⫖↰⪸2134","layer":2},{"info":"⫖↰⪸1029⪛⫖↰⪸8AB=⫖↰⪸33A","layer":3},{"info":"⫖↰⪸33A⊭∹↮=⫖↰⪸678","layer":2},{"info":"⫖↰⪸2134⊴⫖↰⪸678=NaN","layer":1},{"info":"⫖↰⪸-548300≹⇙⪍NaN=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"($3260$∼$5201$≧⫂∧(↩$1980$))⪮%⊝($3069$⋓$3491$⇼⇔∾$5515$⨰$5290$)∲⫓(⨞⊢($1374$⊉≛↸$1832$*$1974$⇷$2965$))","expression":"(⫖↰⪸1A78∼⫖↰⪸3015≧⫂∧(↩⫖↰⪸1190))⪮%⊝(⫖↰⪸1939⋓⫖↰⪸202B⇼⇔∾⫖↰⪸3237⨰⫖↰⪸308A)∲⫓(⨞⊢(⫖↰⪸966⊉≛↸⫖↰⪸1088*⫖↰⪸1186⇷⫖↰⪸1871))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30508,"operation_count":12,"complexity_ratio":2542.3333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3260,"base":12},"right_expr":{"type":"numeric_atoms","value":5201,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1980,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3069,"base":12},"right_expr":{"type":"numeric_atoms","value":3491,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5515,"base":12},"right_expr":{"type":"numeric_atoms","value":5290,"base":12}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1374,"base":12},"right_expr":{"type":"numeric_atoms","value":1832,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1974,"base":12},"right_expr":{"type":"numeric_atoms","value":2965,"base":12}}}}},"used_operators":["i8ToyICDmI","IWmyXbctLI","Ph9nP6C5qx","DyGG3AbaNP","jLgFTUHLKL","tifHPKVTfV","T2fj7uvVaJ","eewbuw0ToL","xUOZtlo3hN","9HNa5Wba9A","DZ8iAZOCBD","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3260","layer":4},{"info":"number node, value=5201","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=5201, 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=1980","layer":4},{"info":"compute unary expreesion, input=1980, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13060","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13060, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=3069","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=3491, 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=5515","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=5515, right_input=5290, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=235","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=235, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=235","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=235, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1374","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1832, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2748","layer":3},{"info":"number node, value=1974","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=2965, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5930","layer":3},{"info":"compute binary expreesion, left_input=2748, right_input=5930, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16295640","layer":2},{"info":"compute unary expreesion, input=16295640, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-16295814","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16295814, 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":"(⫖↰⪸1A78∼⫖↰⪸3015≧⫂∧(↩⫖↰⪸1190))⪮%⊝(⫖↰⪸1939⋓⫖↰⪸202B⇼⇔∾⫖↰⪸3237⨰⫖↰⪸308A)∲⫓(⨞⊢(⫖↰⪸966⊉≛↸⫖↰⪸1088*⫖↰⪸1186⇷⫖↰⪸1871))=NaN","reverse_text":"NaN=(⫖↰⪸1A78∼⫖↰⪸3015≧⫂∧(↩⫖↰⪸1190))⪮%⊝(⫖↰⪸1939⋓⫖↰⪸202B⇼⇔∾⫖↰⪸3237⨰⫖↰⪸308A)∲⫓(⨞⊢(⫖↰⪸966⊉≛↸⫖↰⪸1088*⫖↰⪸1186⇷⫖↰⪸1871))","cot":[{"info":"⫖↰⪸1A78∼⫖↰⪸3015=NaN","layer":3},{"info":"↩⫖↰⪸1190=⫖↰⪸-7684","layer":3},{"info":"NaN≧⫂∧⫖↰⪸-7684=NaN","layer":2},{"info":"⫖↰⪸1939⋓⫖↰⪸202B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3237⨰⫖↰⪸308A=⫖↰⪸177","layer":3},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸177=⫖↰⪸177","layer":2},{"info":"NaN⪮%⊝⫖↰⪸177=NaN","layer":1},{"info":"⫖↰⪸966⊉≛↸⫖↰⪸1088=⫖↰⪸1710","layer":3},{"info":"⫖↰⪸1186⇷⫖↰⪸1871=⫖↰⪸3522","layer":3},{"info":"⫖↰⪸1710*⫖↰⪸3522=⫖↰⪸555A420","layer":2},{"info":"⨞⊢⫖↰⪸555A420=⫖↰⪸-555A546","layer":1},{"info":"NaN∲⫓⫖↰⪸-555A546=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(($1692$⨽$1955$)⨓($1012$⩚⊴⇥$7680$)⇼⇔∾($3123$⩤)↙($2947$/$3094$))⪛(∥⊫(⪝⪂⫅$1054$))⨟⋌⩍($4926$∼$1338$⩨($3838$⩨$1361$))","expression":"((⫖↰⪸B90⨽⫖↰⪸116B)⨓(⫖↰⪸704⩚⊴⇥⫖↰⪸4540)⇼⇔∾(⫖↰⪸1983⩤)↙(⫖↰⪸1857/⫖↰⪸195A))⪛(∥⊫(⪝⪂⫅⫖↰⪸73A))⨟⋌⩍(⫖↰⪸2A26∼⫖↰⪸936⩨(⫖↰⪸227A⩨⫖↰⪸955))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10792,"operation_count":14,"complexity_ratio":770.8571428571429,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1692,"base":12},"right_expr":{"type":"numeric_atoms","value":1955,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1012,"base":12},"right_expr":{"type":"numeric_atoms","value":7680,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3123,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2947,"base":12},"right_expr":{"type":"numeric_atoms","value":3094,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1054,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4926,"base":12},"right_expr":{"type":"numeric_atoms","value":1338,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3838,"base":12},"right_expr":{"type":"numeric_atoms","value":1361,"base":12}}}}},"used_operators":["uFcxV4UQCh","tifHPKVTfV","3ViojmjbAp","8HhzD0ZcuI","NTOWxs364D","yyfyN0ffXY","Z2TMIBDE3Q","XhwjNDsVaA","rGHVDoGpnC","P8v4zCKN1o","XTarYq4gQB","2DlMacCsIx","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1692","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=1955, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8593143","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=7680","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=7680, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8813","layer":3},{"info":"compute binary expreesion, left_input=-8593143, right_input=-8813, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8816","layer":2},{"info":"number node, value=3123","layer":4},{"info":"compute unary expreesion, input=3123, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3123","layer":3},{"info":"number node, value=2947","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=3094, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3123, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3123","layer":2},{"info":"compute binary expreesion, left_input=-8816, right_input=-3123, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5693","layer":1},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-154938","layer":3},{"info":"compute unary expreesion, input=-154938, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=4926","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=1338, 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=3838","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=1361, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5693, 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":"((⫖↰⪸B90⨽⫖↰⪸116B)⨓(⫖↰⪸704⩚⊴⇥⫖↰⪸4540)⇼⇔∾(⫖↰⪸1983⩤)↙(⫖↰⪸1857/⫖↰⪸195A))⪛(∥⊫(⪝⪂⫅⫖↰⪸73A))⨟⋌⩍(⫖↰⪸2A26∼⫖↰⪸936⩨(⫖↰⪸227A⩨⫖↰⪸955))=NaN","reverse_text":"NaN=((⫖↰⪸B90⨽⫖↰⪸116B)⨓(⫖↰⪸704⩚⊴⇥⫖↰⪸4540)⇼⇔∾(⫖↰⪸1983⩤)↙(⫖↰⪸1857/⫖↰⪸195A))⪛(∥⊫(⪝⪂⫅⫖↰⪸73A))⨟⋌⩍(⫖↰⪸2A26∼⫖↰⪸936⩨(⫖↰⪸227A⩨⫖↰⪸955))","cot":[{"info":"⫖↰⪸B90⨽⫖↰⪸116B=⫖↰⪸-2A64A73","layer":3},{"info":"⫖↰⪸704⩚⊴⇥⫖↰⪸4540=⫖↰⪸-5125","layer":3},{"info":"⫖↰⪸-2A64A73⨓⫖↰⪸-5125=⫖↰⪸-5128","layer":2},{"info":"⫖↰⪸1983⩤=⫖↰⪸-1983","layer":3},{"info":"⫖↰⪸1857/⫖↰⪸195A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1983↙⫖↰⪸0=⫖↰⪸-1983","layer":2},{"info":"⫖↰⪸-5128⇼⇔∾⫖↰⪸-1983=⫖↰⪸3365","layer":1},{"info":"⪝⪂⫅⫖↰⪸73A=⫖↰⪸-757B6","layer":3},{"info":"∥⊫⫖↰⪸-757B6=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸2A26∼⫖↰⪸936=NaN","layer":3},{"info":"⫖↰⪸227A⩨⫖↰⪸955=⫖↰⪸0","layer":3},{"info":"NaN⩨⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-47⨟⋌⩍NaN=NaN","layer":1},{"info":"⫖↰⪸3365⪛NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"($8001$⨰$2243$)⨟⋌⩍($2553$≋⫹)⨳⩥⨓($3227$⨓$1079$↙($2603$⫡⨏$3566$))%(⊥(∥⊫$4717$))⋝⋈⪟(($5421$*$1433$)⨐⩸⫘($1219$/$7353$))","expression":"(⫖↰⪸4769⨰⫖↰⪸136B)⨟⋌⩍(⫖↰⪸1589≋⫹)⨳⩥⨓(⫖↰⪸1A4B⨓⫖↰⪸75B↙(⫖↰⪸160B⫡⨏⫖↰⪸2092))%(⊥(∥⊫⫖↰⪸2891))⋝⋈⪟((⫖↰⪸3179*⫖↰⪸9B5)⨐⩸⫘(⫖↰⪸857/⫖↰⪸4309))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2550,"operation_count":14,"complexity_ratio":182.14285714285714,"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":8001,"base":12},"right_expr":{"type":"numeric_atoms","value":2243,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2553,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3227,"base":12},"right_expr":{"type":"numeric_atoms","value":1079,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2603,"base":12},"right_expr":{"type":"numeric_atoms","value":3566,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4717,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5421,"base":12},"right_expr":{"type":"numeric_atoms","value":1433,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":7353,"base":12}}}}},"used_operators":["k8jYdgA6NY","nCS4ZIUYfx","rGHVDoGpnC","eewbuw0ToL","N41Kp7NANJ","yyfyN0ffXY","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","Q3PJZHRvZv","P8v4zCKN1o","fu6greOZ01","9HNa5Wba9A","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8001","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=8001, right_input=2243, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5768","layer":3},{"info":"number node, value=2553","layer":4},{"info":"compute unary expreesion, input=2553, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5106","layer":3},{"info":"compute binary expreesion, left_input=5768, right_input=-5106, 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=3227","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=3227, right_input=1079, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1082","layer":3},{"info":"number node, value=2603","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=3566, 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=20930","layer":3},{"info":"compute binary expreesion, left_input=-1082, right_input=20930, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1082","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1082, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4717","layer":4},{"info":"compute unary expreesion, input=4717, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5585","layer":3},{"info":"compute unary expreesion, input=5585, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5421","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=5421, right_input=1433, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7768293","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=7353","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=7353, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=7768293, 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=7768293","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7768293, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4769⨰⫖↰⪸136B)⨟⋌⩍(⫖↰⪸1589≋⫹)⨳⩥⨓(⫖↰⪸1A4B⨓⫖↰⪸75B↙(⫖↰⪸160B⫡⨏⫖↰⪸2092))%(⊥(∥⊫⫖↰⪸2891))⋝⋈⪟((⫖↰⪸3179*⫖↰⪸9B5)⨐⩸⫘(⫖↰⪸857/⫖↰⪸4309))=NaN","reverse_text":"NaN=(⫖↰⪸4769⨰⫖↰⪸136B)⨟⋌⩍(⫖↰⪸1589≋⫹)⨳⩥⨓(⫖↰⪸1A4B⨓⫖↰⪸75B↙(⫖↰⪸160B⫡⨏⫖↰⪸2092))%(⊥(∥⊫⫖↰⪸2891))⋝⋈⪟((⫖↰⪸3179*⫖↰⪸9B5)⨐⩸⫘(⫖↰⪸857/⫖↰⪸4309))","cot":[{"info":"⫖↰⪸4769⨰⫖↰⪸136B=⫖↰⪸3408","layer":3},{"info":"⫖↰⪸1589≋⫹=⫖↰⪸-2B56","layer":3},{"info":"⫖↰⪸3408⨟⋌⩍⫖↰⪸-2B56=NaN","layer":2},{"info":"⫖↰⪸1A4B⨓⫖↰⪸75B=⫖↰⪸-762","layer":3},{"info":"⫖↰⪸160B⫡⨏⫖↰⪸2092=⫖↰⪸10142","layer":3},{"info":"⫖↰⪸-762↙⫖↰⪸10142=⫖↰⪸-762","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-762=NaN","layer":1},{"info":"∥⊫⫖↰⪸2891=⫖↰⪸3295","layer":3},{"info":"⊥⫖↰⪸3295=NaN","layer":2},{"info":"⫖↰⪸3179*⫖↰⪸9B5=⫖↰⪸2727659","layer":3},{"info":"⫖↰⪸857/⫖↰⪸4309=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2727659⨐⩸⫘⫖↰⪸0=⫖↰⪸2727659","layer":2},{"info":"NaN⋝⋈⪟⫖↰⪸2727659=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"((($2669$⨵⪆$1009$)⫥∨⫟($2505$∲⫓$2047$))⫩⊇)⪘⫢(($1714$⪘⫢$5000$↪⪝)⊭↱($5336$⋳⪒$2101$⩨$2502$⨳⩥⨓$1688$))","expression":"(((⫖↰⪸1665⨵⪆⫖↰⪸701)⫥∨⫟(⫖↰⪸1549∲⫓⫖↰⪸1227))⫩⊇)⪘⫢((⫖↰⪸BAA⪘⫢⫖↰⪸2A88↪⪝)⊭↱(⫖↰⪸3108⋳⪒⫖↰⪸1271⩨⫖↰⪸1546⨳⩥⨓⫖↰⪸B88))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":903,"operation_count":11,"complexity_ratio":82.0909090909091,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2669,"base":12},"right_expr":{"type":"numeric_atoms","value":1009,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2505,"base":12},"right_expr":{"type":"numeric_atoms","value":2047,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1714,"base":12},"right_expr":{"type":"numeric_atoms","value":5000,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5336,"base":12},"right_expr":{"type":"numeric_atoms","value":2101,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2502,"base":12},"right_expr":{"type":"numeric_atoms","value":1688,"base":12}}}}},"used_operators":["oacrs7FA3X","BjRHVeLaeN","KYD54nUTWz","2DQ55sFlQl","i8ToyICDmI","COABgblf1C","l07mrZUIn9","2DlMacCsIx","12rbrZMWeM","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2669","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=1009, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2505","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=2047, 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=160, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=1714","layer":4},{"info":"number node, value=5000","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=5000, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3304","layer":3},{"info":"compute unary expreesion, input=3304, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=202145328","layer":2},{"info":"number node, value=5336","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=5336, right_input=2101, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8284","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=1688, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-814","layer":3},{"info":"compute binary expreesion, left_input=8284, right_input=-814, 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=202145328, right_input=3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-404290645","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-404290645, 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":"(((⫖↰⪸1665⨵⪆⫖↰⪸701)⫥∨⫟(⫖↰⪸1549∲⫓⫖↰⪸1227))⫩⊇)⪘⫢((⫖↰⪸BAA⪘⫢⫖↰⪸2A88↪⪝)⊭↱(⫖↰⪸3108⋳⪒⫖↰⪸1271⩨⫖↰⪸1546⨳⩥⨓⫖↰⪸B88))=NaN","reverse_text":"NaN=(((⫖↰⪸1665⨵⪆⫖↰⪸701)⫥∨⫟(⫖↰⪸1549∲⫓⫖↰⪸1227))⫩⊇)⪘⫢((⫖↰⪸BAA⪘⫢⫖↰⪸2A88↪⪝)⊭↱(⫖↰⪸3108⋳⪒⫖↰⪸1271⩨⫖↰⪸1546⨳⩥⨓⫖↰⪸B88))","cot":[{"info":"⫖↰⪸1665⨵⪆⫖↰⪸701=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1549∲⫓⫖↰⪸1227=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⫖↰⪸BAA⪘⫢⫖↰⪸2A88=⫖↰⪸1AB4","layer":3},{"info":"⫖↰⪸1AB4↪⪝=⫖↰⪸57846300","layer":2},{"info":"⫖↰⪸3108⋳⪒⫖↰⪸1271=⫖↰⪸4964","layer":3},{"info":"⫖↰⪸1546⨳⩥⨓⫖↰⪸B88=⫖↰⪸-57A","layer":3},{"info":"⫖↰⪸4964⩨⫖↰⪸-57A=⫖↰⪸3","layer":2},{"info":"⫖↰⪸57846300⊭↱⫖↰⪸3=⫖↰⪸-B34905B1","layer":1},{"info":"NaN⪘⫢⫖↰⪸-B34905B1=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"(($6715$∼$7334$⩠)↙($1350$%$4207$)∑⇟⊟(⫛⫱⨽$3883$))⨓(($1263$⫥∨⫟$3345$)⩷∴(∥⊫$1547$)⫡⨏($5210$⫌⩹⨱)⨽$1296$⋝⋈⪟$1592$)","expression":"((⫖↰⪸3A77∼⫖↰⪸42B2⩠)↙(⫖↰⪸946%⫖↰⪸2527)∑⇟⊟(⫛⫱⨽⫖↰⪸22B7))⨓((⫖↰⪸893⫥∨⫟⫖↰⪸1B29)⩷∴(∥⊫⫖↰⪸A8B)⫡⨏(⫖↰⪸3022⫌⩹⨱)⨽⫖↰⪸900⋝⋈⪟⫖↰⪸B08)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13594,"operation_count":14,"complexity_ratio":971.0,"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":6715,"base":12},"right_expr":{"type":"numeric_atoms","value":7334,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1350,"base":12},"right_expr":{"type":"numeric_atoms","value":4207,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3883,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":3345,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1547,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5210,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1296,"base":12},"right_expr":{"type":"numeric_atoms","value":1592,"base":12}}}}},"used_operators":["3ViojmjbAp","yyfyN0ffXY","sJAwomhLZr","DyGG3AbaNP","U7g4x0WXJJ","k8jYdgA6NY","DlLNRPXxWL","QMFrweE19q","9FxExcQeMw","KYD54nUTWz","P8v4zCKN1o","8HhzD0ZcuI","EBcxylXtPf","2DDjHMKMc0"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6715","layer":4},{"info":"number node, value=7334","layer":4},{"info":"compute binary expreesion, left_input=6715, right_input=7334, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"number node, value=1350","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=4207, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1350","layer":3},{"info":"number node, value=3883","layer":4},{"info":"compute unary expreesion, input=3883, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1350, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1350","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1350, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1263","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=3345, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2415","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2415, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=5210","layer":4},{"info":"compute unary expreesion, input=5210, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11821","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1592, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1296","layer":3},{"info":"compute binary expreesion, left_input=11821, right_input=1296, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-419210697","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-419210697, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3A77∼⫖↰⪸42B2⩠)↙(⫖↰⪸946%⫖↰⪸2527)∑⇟⊟(⫛⫱⨽⫖↰⪸22B7))⨓((⫖↰⪸893⫥∨⫟⫖↰⪸1B29)⩷∴(∥⊫⫖↰⪸A8B)⫡⨏(⫖↰⪸3022⫌⩹⨱)⨽⫖↰⪸900⋝⋈⪟⫖↰⪸B08)=NaN","reverse_text":"NaN=((⫖↰⪸3A77∼⫖↰⪸42B2⩠)↙(⫖↰⪸946%⫖↰⪸2527)∑⇟⊟(⫛⫱⨽⫖↰⪸22B7))⨓((⫖↰⪸893⫥∨⫟⫖↰⪸1B29)⩷∴(∥⊫⫖↰⪸A8B)⫡⨏(⫖↰⪸3022⫌⩹⨱)⨽⫖↰⪸900⋝⋈⪟⫖↰⪸B08)","cot":[{"info":"⫖↰⪸3A77∼⫖↰⪸42B2=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⫖↰⪸946%⫖↰⪸2527=⫖↰⪸946","layer":3},{"info":"⫛⫱⨽⫖↰⪸22B7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸946∑⇟⊟⫖↰⪸0=⫖↰⪸946","layer":2},{"info":"NaN↙⫖↰⪸946=NaN","layer":1},{"info":"⫖↰⪸893⫥∨⫟⫖↰⪸1B29=NaN","layer":3},{"info":"∥⊫⫖↰⪸A8B=⫖↰⪸1493","layer":3},{"info":"NaN⩷∴⫖↰⪸1493=NaN","layer":2},{"info":"⫖↰⪸3022⫌⩹⨱=⫖↰⪸6A11","layer":3},{"info":"⫖↰⪸900⋝⋈⪟⫖↰⪸B08=⫖↰⪸900","layer":3},{"info":"⫖↰⪸6A11⨽⫖↰⪸900=⫖↰⪸-B8486949","layer":2},{"info":"NaN⫡⨏⫖↰⪸-B8486949=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"↽≂((-$1709$-$4881$)⫩⊇)","expression":"↽≂((-⫖↰⪸BA5-⫖↰⪸29A9)⫩⊇)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":4,"complexity_ratio":1.75,"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":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":4881,"base":12}}}}},"used_operators":["u6S6b8DprG","BjRHVeLaeN","t8gj7n24qd","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸3758","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"number node, value=4881","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=4881, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3172","layer":3},{"info":"compute unary expreesion, input=-3172, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3172","layer":2},{"info":"compute unary expreesion, input=3172, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3130","layer":1},{"info":"compute unary expreesion, input=-3130, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=6260","layer":0}],"base":12,"result_base":12,"text":"↽≂((-⫖↰⪸BA5-⫖↰⪸29A9)⫩⊇)=⫖↰⪸3758","reverse_text":"⫖↰⪸3758=↽≂((-⫖↰⪸BA5-⫖↰⪸29A9)⫩⊇)","cot":[{"info":"⫖↰⪸BA5-⫖↰⪸29A9=⫖↰⪸-1A04","layer":3},{"info":"-⫖↰⪸-1A04=⫖↰⪸1A04","layer":2},{"info":"⫖↰⪸1A04⫩⊇=⫖↰⪸-198A","layer":1},{"info":"↽≂⫖↰⪸-198A=⫖↰⪸3758","layer":0}]}
{"id":410,"expression_no_base_symbol":"⊄⩳↩(∥⊫(($1427$⨎$1778$)⫩⊇))","expression":"⊄⩳↩(∥⊫((⫖↰⪸9AB⨎⫖↰⪸1042)⫩⊇))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9,"operation_count":4,"complexity_ratio":2.25,"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":1427,"base":12},"right_expr":{"type":"numeric_atoms","value":1778,"base":12}}}}},"used_operators":["8w2t5hMYqp","P8v4zCKN1o","BjRHVeLaeN","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸119","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1427","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=1778, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1778","layer":3},{"info":"compute unary expreesion, input=1778, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1736","layer":2},{"info":"compute unary expreesion, input=-1736, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=165","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(∥⊫((⫖↰⪸9AB⨎⫖↰⪸1042)⫩⊇))=⫖↰⪸119","reverse_text":"⫖↰⪸119=⊄⩳↩(∥⊫((⫖↰⪸9AB⨎⫖↰⪸1042)⫩⊇))","cot":[{"info":"⫖↰⪸9AB⨎⫖↰⪸1042=⫖↰⪸1042","layer":3},{"info":"⫖↰⪸1042⫩⊇=⫖↰⪸-1008","layer":2},{"info":"∥⊫⫖↰⪸-1008=⫖↰⪸-47","layer":1},{"info":"⊄⩳↩⫖↰⪸-47=⫖↰⪸119","layer":0}]}
{"id":411,"expression_no_base_symbol":"⫛⫱⨽(((⫓⪴$2539$)⊉≛↸(⨞⊢$6668$))⨎(⪲⇎$1829$)⪢($2869$⋓$1613$))","expression":"⫛⫱⨽(((⫓⪴⫖↰⪸1577)⊉≛↸(⨞⊢⫖↰⪸3A38))⨎(⪲⇎⫖↰⪸1085)⪢(⫖↰⪸17B1⋓⫖↰⪸B25))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3472,"operation_count":8,"complexity_ratio":434.0,"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":2539,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6668,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1829,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2869,"base":12},"right_expr":{"type":"numeric_atoms","value":1613,"base":12}}}}},"used_operators":["DlLNRPXxWL","rJVOvQCfKK","DZ8iAZOCBD","eLxqMNBOBk","xUOZtlo3hN","dWAJyo7jo9","XPYlsWDdGa","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","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=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6446521","layer":3},{"info":"number node, value=6668","layer":4},{"info":"compute unary expreesion, input=6668, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6842","layer":3},{"info":"compute binary expreesion, left_input=6446521, right_input=-6842, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12893042","layer":2},{"info":"number node, value=1829","layer":4},{"info":"compute unary expreesion, input=1829, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3658","layer":3},{"info":"number node, value=2869","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=1613, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3658, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=12893042, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(((⫓⪴⫖↰⪸1577)⊉≛↸(⨞⊢⫖↰⪸3A38))⨎(⪲⇎⫖↰⪸1085)⪢(⫖↰⪸17B1⋓⫖↰⪸B25))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(((⫓⪴⫖↰⪸1577)⊉≛↸(⨞⊢⫖↰⪸3A38))⨎(⪲⇎⫖↰⪸1085)⪢(⫖↰⪸17B1⋓⫖↰⪸B25))","cot":[{"info":"⫓⪴⫖↰⪸1577=⫖↰⪸21AA761","layer":3},{"info":"⨞⊢⫖↰⪸3A38=⫖↰⪸-3B62","layer":3},{"info":"⫖↰⪸21AA761⊉≛↸⫖↰⪸-3B62=⫖↰⪸4399302","layer":2},{"info":"⪲⇎⫖↰⪸1085=⫖↰⪸214A","layer":3},{"info":"⫖↰⪸17B1⋓⫖↰⪸B25=⫖↰⪸0","layer":3},{"info":"⫖↰⪸214A⪢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4399302⨎⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫛⫱⨽⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":412,"expression_no_base_symbol":"((⊄⩳↩$2096$)⪘⫢($2518$≧⫂∧$1729$)⩨$1687$⨐⩸⫘$1298$⫸⊐$3909$⪮%⊝$1550$)⨽(≉($1823$⩨$1331$))⨓($9343$⊴$2164$⋥≓≎(⪲⇎$1478$))","expression":"((⊄⩳↩⫖↰⪸1268)⪘⫢(⫖↰⪸155A≧⫂∧⫖↰⪸1001)⩨⫖↰⪸B87⨐⩸⫘⫖↰⪸902⫸⊐⫖↰⪸2319⪮%⊝⫖↰⪸A92)⨽(≉(⫖↰⪸107B⩨⫖↰⪸92B))⨓(⫖↰⪸54A7⊴⫖↰⪸1304⋥≓≎(⪲⇎⫖↰⪸A32))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17597,"operation_count":14,"complexity_ratio":1256.9285714285713,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2096,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2518,"base":12},"right_expr":{"type":"numeric_atoms","value":1729,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1687,"base":12},"right_expr":{"type":"numeric_atoms","value":1298,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3909,"base":12},"right_expr":{"type":"numeric_atoms","value":1550,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1823,"base":12},"right_expr":{"type":"numeric_atoms","value":1331,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":9343,"base":12},"right_expr":{"type":"numeric_atoms","value":2164,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1478,"base":12}}}}},"used_operators":["8HhzD0ZcuI","2DlMacCsIx","oacrs7FA3X","8w2t5hMYqp","Ph9nP6C5qx","mqXw5SEYmG","fu6greOZ01","IWmyXbctLI","3ViojmjbAp","e1ybzncUwg","Qy55tPpLXF","Nsiff2A1zJ","XPYlsWDdGa"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2096","layer":4},{"info":"compute unary expreesion, input=2096, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6288","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=1729, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1256","layer":3},{"info":"compute binary expreesion, left_input=-6288, right_input=1256, 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=1687","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=1298, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3909","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=3909, right_input=1550, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8134, 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=-1, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1823","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=1331, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"number node, value=9343","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=9343, right_input=2164, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2956","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2956, 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=531, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊄⩳↩⫖↰⪸1268)⪘⫢(⫖↰⪸155A≧⫂∧⫖↰⪸1001)⩨⫖↰⪸B87⨐⩸⫘⫖↰⪸902⫸⊐⫖↰⪸2319⪮%⊝⫖↰⪸A92)⨽(≉(⫖↰⪸107B⩨⫖↰⪸92B))⨓(⫖↰⪸54A7⊴⫖↰⪸1304⋥≓≎(⪲⇎⫖↰⪸A32))=NaN","reverse_text":"NaN=((⊄⩳↩⫖↰⪸1268)⪘⫢(⫖↰⪸155A≧⫂∧⫖↰⪸1001)⩨⫖↰⪸B87⨐⩸⫘⫖↰⪸902⫸⊐⫖↰⪸2319⪮%⊝⫖↰⪸A92)⨽(≉(⫖↰⪸107B⩨⫖↰⪸92B))⨓(⫖↰⪸54A7⊴⫖↰⪸1304⋥≓≎(⪲⇎⫖↰⪸A32))","cot":[{"info":"⊄⩳↩⫖↰⪸1268=⫖↰⪸-3780","layer":3},{"info":"⫖↰⪸155A≧⫂∧⫖↰⪸1001=⫖↰⪸888","layer":3},{"info":"⫖↰⪸-3780⪘⫢⫖↰⪸888=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸B87⨐⩸⫘⫖↰⪸902=NaN","layer":3},{"info":"⫖↰⪸2319⪮%⊝⫖↰⪸A92=⫖↰⪸485A","layer":3},{"info":"NaN⫸⊐⫖↰⪸485A=NaN","layer":2},{"info":"⫖↰⪸-1⩨NaN=NaN","layer":1},{"info":"⫖↰⪸107B⩨⫖↰⪸92B=⫖↰⪸0","layer":3},{"info":"≉⫖↰⪸0=⫖↰⪸383","layer":2},{"info":"⫖↰⪸54A7⊴⫖↰⪸1304=NaN","layer":3},{"info":"⪲⇎⫖↰⪸A32=⫖↰⪸1864","layer":3},{"info":"NaN⋥≓≎⫖↰⪸1864=⫖↰⪸57","layer":2},{"info":"⫖↰⪸383⨓⫖↰⪸57=⫖↰⪸-5A","layer":1},{"info":"NaN⨽⫖↰⪸-5A=NaN","layer":0}]}
{"id":413,"expression_no_base_symbol":"∥⊫((⫓⪴($4787$+$1349$))⨁⊸⫻)","expression":"∥⊫((⫓⪴(⫖↰⪸292B+⫖↰⪸945))⨁⊸⫻)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6142,"operation_count":4,"complexity_ratio":1535.5,"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":4787,"base":12},"right_expr":{"type":"numeric_atoms","value":1349,"base":12}}}}},"used_operators":["P8v4zCKN1o","glklzrTFfD","eLxqMNBOBk","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A"],"result":"⫖↰⪸10738B98","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4787","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=4787, right_input=1349, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6136","layer":3},{"info":"compute unary expreesion, input=6136, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=37650496","layer":2},{"info":"compute unary expreesion, input=37650496, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=37650496","layer":1},{"info":"compute unary expreesion, input=37650496, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=37651364","layer":0}],"base":12,"result_base":12,"text":"∥⊫((⫓⪴(⫖↰⪸292B+⫖↰⪸945))⨁⊸⫻)=⫖↰⪸10738B98","reverse_text":"⫖↰⪸10738B98=∥⊫((⫓⪴(⫖↰⪸292B+⫖↰⪸945))⨁⊸⫻)","cot":[{"info":"⫖↰⪸292B+⫖↰⪸945=⫖↰⪸3674","layer":3},{"info":"⫓⪴⫖↰⪸3674=⫖↰⪸10738594","layer":2},{"info":"⫖↰⪸10738594⨁⊸⫻=⫖↰⪸10738594","layer":1},{"info":"∥⊫⫖↰⪸10738594=⫖↰⪸10738B98","layer":0}]}
{"id":414,"expression_no_base_symbol":"(⪝⪂⫅($3085$⪢$6462$-$1987$∑⇟⊟$3159$))⊉≛↸(⨞⊢($3102$⪒$1162$))⨰(⫛⫱⨽(⩦⩻⨪$1080$))","expression":"(⪝⪂⫅(⫖↰⪸1951⪢⫖↰⪸38A6-⫖↰⪸1197∑⇟⊟⫖↰⪸19B3))⊉≛↸(⨞⊢(⫖↰⪸1966⪒⫖↰⪸80A))⨰(⫛⫱⨽(⩦⩻⨪⫖↰⪸760))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7906,"operation_count":10,"complexity_ratio":790.6,"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":3085,"base":12},"right_expr":{"type":"numeric_atoms","value":6462,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1987,"base":12},"right_expr":{"type":"numeric_atoms","value":3159,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3102,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1080,"base":12}}}}},"used_operators":["DZ8iAZOCBD","XTarYq4gQB","rysDP5nf3Z","dWAJyo7jo9","U7g4x0WXJJ","eewbuw0ToL","xUOZtlo3hN","f6k1SAg4EE","DlLNRPXxWL","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3085","layer":4},{"info":"number node, value=6462","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=6462, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1987","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=3159, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=3102","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=1162, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4264","layer":3},{"info":"compute unary expreesion, input=-4264, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=4090","layer":2},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1080","layer":3},{"info":"compute unary expreesion, input=1080, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4090, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4100, 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":"(⪝⪂⫅(⫖↰⪸1951⪢⫖↰⪸38A6-⫖↰⪸1197∑⇟⊟⫖↰⪸19B3))⊉≛↸(⨞⊢(⫖↰⪸1966⪒⫖↰⪸80A))⨰(⫛⫱⨽(⩦⩻⨪⫖↰⪸760))=NaN","reverse_text":"NaN=(⪝⪂⫅(⫖↰⪸1951⪢⫖↰⪸38A6-⫖↰⪸1197∑⇟⊟⫖↰⪸19B3))⊉≛↸(⨞⊢(⫖↰⪸1966⪒⫖↰⪸80A))⨰(⫛⫱⨽(⩦⩻⨪⫖↰⪸760))","cot":[{"info":"⫖↰⪸1951⪢⫖↰⪸38A6=NaN","layer":3},{"info":"⫖↰⪸1197∑⇟⊟⫖↰⪸19B3=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⫖↰⪸1966⪒⫖↰⪸80A=⫖↰⪸-2574","layer":3},{"info":"⨞⊢⫖↰⪸-2574=⫖↰⪸244A","layer":2},{"info":"⩦⩻⨪⫖↰⪸760=⫖↰⪸760","layer":3},{"info":"⫛⫱⨽⫖↰⪸760=⫖↰⪸0","layer":2},{"info":"⫖↰⪸244A⨰⫖↰⪸0=⫖↰⪸2458","layer":1},{"info":"NaN⊉≛↸⫖↰⪸2458=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"(-((↽≂$3115$)∧))⪨≂(($5759$⋝⋈⪟$5083$)⩠)∲⫓(($4464$*$6800$)⪐)","expression":"(-((↽≂⫖↰⪸1977)∧))⪨≂((⫖↰⪸33BB⋝⋈⪟⫖↰⪸2B37)⩠)∲⫓((⫖↰⪸2700*⫖↰⪸3B28)⪐)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4506,"operation_count":9,"complexity_ratio":500.6666666666667,"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":3115,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5759,"base":12},"right_expr":{"type":"numeric_atoms","value":5083,"base":12}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4464,"base":12},"right_expr":{"type":"numeric_atoms","value":6800,"base":12}}}}},"used_operators":["sdazOOVcIp","t8gj7n24qd","z63VuFQld9","u6S6b8DprG","i8ToyICDmI","sJAwomhLZr","2DDjHMKMc0","eH2TOUuTDT","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸86","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3115","layer":4},{"info":"compute unary expreesion, input=3115, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6230","layer":3},{"info":"compute unary expreesion, input=-6230, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"number node, value=5759","layer":4},{"info":"number node, value=5083","layer":4},{"info":"compute binary expreesion, left_input=5759, right_input=5083, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5759","layer":3},{"info":"compute unary expreesion, input=5759, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=4464","layer":4},{"info":"number node, value=6800","layer":4},{"info":"compute binary expreesion, left_input=4464, right_input=6800, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=30355200","layer":3},{"info":"compute unary expreesion, input=30355200, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=60710400","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=60710400, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=102","layer":0}],"base":12,"result_base":12,"text":"(-((↽≂⫖↰⪸1977)∧))⪨≂((⫖↰⪸33BB⋝⋈⪟⫖↰⪸2B37)⩠)∲⫓((⫖↰⪸2700*⫖↰⪸3B28)⪐)=⫖↰⪸86","reverse_text":"⫖↰⪸86=(-((↽≂⫖↰⪸1977)∧))⪨≂((⫖↰⪸33BB⋝⋈⪟⫖↰⪸2B37)⩠)∲⫓((⫖↰⪸2700*⫖↰⪸3B28)⪐)","cot":[{"info":"↽≂⫖↰⪸1977=⫖↰⪸-3732","layer":3},{"info":"⫖↰⪸-3732∧=⫖↰⪸0","layer":2},{"info":"-⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸33BB⋝⋈⪟⫖↰⪸2B37=⫖↰⪸33BB","layer":3},{"info":"⫖↰⪸33BB⩠=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2700*⫖↰⪸3B28=⫖↰⪸A1BA800","layer":3},{"info":"⫖↰⪸A1BA800⪐=⫖↰⪸183B9400","layer":2},{"info":"⫖↰⪸0∲⫓⫖↰⪸183B9400=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪨≂⫖↰⪸0=⫖↰⪸86","layer":0}]}
{"id":416,"expression_no_base_symbol":"(⨞⊢($1350$⨐⩸⫘$2742$)⩷∴$2858$⪢$1706$)⫥∨⫟((∥⊫(⪲⇎$1250$))*($1793$⨽$5865$+$1691$⊭↱$1036$))","expression":"(⨞⊢(⫖↰⪸946⨐⩸⫘⫖↰⪸1706)⩷∴⫖↰⪸17A2⪢⫖↰⪸BA2)⫥∨⫟((∥⊫(⪲⇎⫖↰⪸882))*(⫖↰⪸1055⨽⫖↰⪸3489+⫖↰⪸B8B⊭↱⫖↰⪸724))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8583,"operation_count":11,"complexity_ratio":780.2727272727273,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1350,"base":12},"right_expr":{"type":"numeric_atoms","value":2742,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2858,"base":12},"right_expr":{"type":"numeric_atoms","value":1706,"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":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1793,"base":12},"right_expr":{"type":"numeric_atoms","value":5865,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1691,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}}}},"used_operators":["KYD54nUTWz","xUOZtlo3hN","9FxExcQeMw","fu6greOZ01","dWAJyo7jo9","9HNa5Wba9A","P8v4zCKN1o","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","COABgblf1C"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=2742, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2858","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=2858, right_input=1706, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2500","layer":3},{"info":"compute unary expreesion, input=2500, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3368","layer":2},{"info":"number node, value=1793","layer":4},{"info":"number node, value=5865","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=5865, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9660828","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1036, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1305","layer":3},{"info":"compute binary expreesion, left_input=-9660828, right_input=-1305, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-9662133","layer":2},{"info":"compute binary expreesion, left_input=3368, right_input=-9662133, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢(⫖↰⪸946⨐⩸⫘⫖↰⪸1706)⩷∴⫖↰⪸17A2⪢⫖↰⪸BA2)⫥∨⫟((∥⊫(⪲⇎⫖↰⪸882))*(⫖↰⪸1055⨽⫖↰⪸3489+⫖↰⪸B8B⊭↱⫖↰⪸724))=NaN","reverse_text":"NaN=(⨞⊢(⫖↰⪸946⨐⩸⫘⫖↰⪸1706)⩷∴⫖↰⪸17A2⪢⫖↰⪸BA2)⫥∨⫟((∥⊫(⪲⇎⫖↰⪸882))*(⫖↰⪸1055⨽⫖↰⪸3489+⫖↰⪸B8B⊭↱⫖↰⪸724))","cot":[{"info":"⫖↰⪸946⨐⩸⫘⫖↰⪸1706=NaN","layer":3},{"info":"⫖↰⪸17A2⪢⫖↰⪸BA2=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⪲⇎⫖↰⪸882=⫖↰⪸1544","layer":3},{"info":"∥⊫⫖↰⪸1544=⫖↰⪸1B48","layer":2},{"info":"⫖↰⪸1055⨽⫖↰⪸3489=⫖↰⪸-329A910","layer":3},{"info":"⫖↰⪸B8B⊭↱⫖↰⪸724=⫖↰⪸-909","layer":3},{"info":"⫖↰⪸-329A910+⫖↰⪸-909=⫖↰⪸-329B619","layer":2},{"info":"⫖↰⪸1B48*⫖↰⪸-329B619=-Inf","layer":1},{"info":"NaN⫥∨⫟-Inf=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"($2125$≎⊠⪸$8048$⋷(⫛⫱⨽$5465$))⨟⋌⩍((⫓⪴$8078$)⨐⩸⫘(⨑⩽⪐$6032$))⨵⪆($4390$⨸⪁$3542$⊉≛↸$1322$⨰$6265$⨵⪆($3188$⪛$5766$)≹⇙⪍(-$3542$))","expression":"(⫖↰⪸1291≎⊠⪸⫖↰⪸47A8⋷(⫛⫱⨽⫖↰⪸31B5))⨟⋌⩍((⫓⪴⫖↰⪸4812)⨐⩸⫘(⨑⩽⪐⫖↰⪸35A8))⨵⪆(⫖↰⪸265A⨸⪁⫖↰⪸2072⊉≛↸⫖↰⪸922⨰⫖↰⪸3761⨵⪆(⫖↰⪸1A18⪛⫖↰⪸3406)≹⇙⪍(-⫖↰⪸2072))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9798,"operation_count":15,"complexity_ratio":653.2,"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":2125,"base":12},"right_expr":{"type":"numeric_atoms","value":8048,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5465,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8078,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6032,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4390,"base":12},"right_expr":{"type":"numeric_atoms","value":3542,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1322,"base":12},"right_expr":{"type":"numeric_atoms","value":6265,"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":5766,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3542,"base":12}}}}},"used_operators":["2DQ55sFlQl","rGHVDoGpnC","23Mk6UjR3U","bJkvcejdHO","DlLNRPXxWL","fu6greOZ01","eLxqMNBOBk","AF7qkfDlqP","DZ8iAZOCBD","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","uFcxV4UQCh","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","3ViojmjbAp","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2125","layer":4},{"info":"number node, value=8048","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=8048, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=549902","layer":3},{"info":"number node, value=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=549902, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-549902","layer":2},{"info":"number node, value=8078","layer":4},{"info":"compute unary expreesion, input=8078, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=65254084","layer":3},{"info":"number node, value=6032","layer":4},{"info":"compute unary expreesion, input=6032, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5759","layer":3},{"info":"compute binary expreesion, left_input=65254084, right_input=-5759, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-549902, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4390","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=4390, right_input=3542, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15864","layer":3},{"info":"number node, value=1322","layer":4},{"info":"number node, value=6265","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=6265, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4933","layer":3},{"info":"compute binary expreesion, left_input=15864, right_input=-4933, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=31728","layer":2},{"info":"number node, value=3188","layer":4},{"info":"number node, value=5766","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=5766, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3188","layer":3},{"info":"number node, value=3542","layer":4},{"info":"compute unary expreesion, input=3542, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3542","layer":3},{"info":"compute binary expreesion, left_input=3188, right_input=-3542, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=31728, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1291≎⊠⪸⫖↰⪸47A8⋷(⫛⫱⨽⫖↰⪸31B5))⨟⋌⩍((⫓⪴⫖↰⪸4812)⨐⩸⫘(⨑⩽⪐⫖↰⪸35A8))⨵⪆(⫖↰⪸265A⨸⪁⫖↰⪸2072⊉≛↸⫖↰⪸922⨰⫖↰⪸3761⨵⪆(⫖↰⪸1A18⪛⫖↰⪸3406)≹⇙⪍(-⫖↰⪸2072))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1291≎⊠⪸⫖↰⪸47A8⋷(⫛⫱⨽⫖↰⪸31B5))⨟⋌⩍((⫓⪴⫖↰⪸4812)⨐⩸⫘(⨑⩽⪐⫖↰⪸35A8))⨵⪆(⫖↰⪸265A⨸⪁⫖↰⪸2072⊉≛↸⫖↰⪸922⨰⫖↰⪸3761⨵⪆(⫖↰⪸1A18⪛⫖↰⪸3406)≹⇙⪍(-⫖↰⪸2072))","cot":[{"info":"⫖↰⪸1291≎⊠⪸⫖↰⪸47A8=⫖↰⪸226292","layer":3},{"info":"⫛⫱⨽⫖↰⪸31B5=⫖↰⪸0","layer":3},{"info":"⫖↰⪸226292⋷⫖↰⪸0=⫖↰⪸-226292","layer":2},{"info":"⫓⪴⫖↰⪸4812=⫖↰⪸19A2A944","layer":3},{"info":"⨑⩽⪐⫖↰⪸35A8=⫖↰⪸-33BB","layer":3},{"info":"⫖↰⪸19A2A944⨐⩸⫘⫖↰⪸-33BB=NaN","layer":2},{"info":"⫖↰⪸-226292⨟⋌⩍NaN=NaN","layer":1},{"info":"⫖↰⪸265A⨸⪁⫖↰⪸2072=⫖↰⪸9220","layer":3},{"info":"⫖↰⪸922⨰⫖↰⪸3761=⫖↰⪸-2A31","layer":3},{"info":"⫖↰⪸9220⊉≛↸⫖↰⪸-2A31=⫖↰⪸16440","layer":2},{"info":"⫖↰⪸1A18⪛⫖↰⪸3406=⫖↰⪸1A18","layer":3},{"info":"-⫖↰⪸2072=⫖↰⪸-2072","layer":3},{"info":"⫖↰⪸1A18≹⇙⪍⫖↰⪸-2072=NaN","layer":2},{"info":"⫖↰⪸16440⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"NaN⨵⪆⫖↰⪸114=⫖↰⪸114","layer":0}]}
{"id":418,"expression_no_base_symbol":"(($1989$⋷$3169$)↙$3700$≭$5074$↺(($2840$⊦⊿)*($6738$⫌⩹⨱)))⪢((↣≠⋷$1448$)∀⇚≩($2163$⫸⊐$1768$)*(($4629$⊭↱$1396$)⇋≉))","expression":"((⫖↰⪸1199⋷⫖↰⪸1A01)↙⫖↰⪸2184≭⫖↰⪸2B2A↺((⫖↰⪸1788⊦⊿)*(⫖↰⪸3A96⫌⩹⨱)))⪢((↣≠⋷⫖↰⪸A08)∀⇚≩(⫖↰⪸1303⫸⊐⫖↰⪸1034)*((⫖↰⪸2819⊭↱⫖↰⪸984)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8661,"operation_count":14,"complexity_ratio":618.6428571428571,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1989,"base":12},"right_expr":{"type":"numeric_atoms","value":3169,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3700,"base":12},"right_expr":{"type":"numeric_atoms","value":5074,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2840,"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":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1448,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2163,"base":12},"right_expr":{"type":"numeric_atoms","value":1768,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4629,"base":12},"right_expr":{"type":"numeric_atoms","value":1396,"base":12}}}}},"used_operators":["dWAJyo7jo9","7j4O788W3g","yyfyN0ffXY","23Mk6UjR3U","rxpJgHHUmx","9HNa5Wba9A","14qkJME0vr","EBcxylXtPf","LRNGc0VcxI","Asc51vEJeQ","mqXw5SEYmG","XIabStNQrY","COABgblf1C"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=3169, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4349","layer":3},{"info":"number node, value=3700","layer":4},{"info":"number node, value=5074","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=5074, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4349, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2840","layer":4},{"info":"compute unary expreesion, input=2840, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8599","layer":3},{"info":"number node, value=6738","layer":4},{"info":"compute unary expreesion, input=6738, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14877","layer":3},{"info":"compute binary expreesion, left_input=-8599, right_input=14877, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-127927323","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-127927323, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-127927323","layer":1},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2163","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=1768, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6947","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6947, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4629","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=4629, right_input=1396, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6461","layer":3},{"info":"compute unary expreesion, input=-6461, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-13020","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13020, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-127927323, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1199⋷⫖↰⪸1A01)↙⫖↰⪸2184≭⫖↰⪸2B2A↺((⫖↰⪸1788⊦⊿)*(⫖↰⪸3A96⫌⩹⨱)))⪢((↣≠⋷⫖↰⪸A08)∀⇚≩(⫖↰⪸1303⫸⊐⫖↰⪸1034)*((⫖↰⪸2819⊭↱⫖↰⪸984)⇋≉))=NaN","reverse_text":"NaN=((⫖↰⪸1199⋷⫖↰⪸1A01)↙⫖↰⪸2184≭⫖↰⪸2B2A↺((⫖↰⪸1788⊦⊿)*(⫖↰⪸3A96⫌⩹⨱)))⪢((↣≠⋷⫖↰⪸A08)∀⇚≩(⫖↰⪸1303⫸⊐⫖↰⪸1034)*((⫖↰⪸2819⊭↱⫖↰⪸984)⇋≉))","cot":[{"info":"⫖↰⪸1199⋷⫖↰⪸1A01=⫖↰⪸2625","layer":3},{"info":"⫖↰⪸2184≭⫖↰⪸2B2A=NaN","layer":3},{"info":"⫖↰⪸2625↙NaN=NaN","layer":2},{"info":"⫖↰⪸1788⊦⊿=⫖↰⪸-4B87","layer":3},{"info":"⫖↰⪸3A96⫌⩹⨱=⫖↰⪸8739","layer":3},{"info":"⫖↰⪸-4B87*⫖↰⪸8739=⫖↰⪸-36A14023","layer":2},{"info":"NaN↺⫖↰⪸-36A14023=⫖↰⪸-36A14023","layer":1},{"info":"↣≠⋷⫖↰⪸A08=NaN","layer":3},{"info":"⫖↰⪸1303⫸⊐⫖↰⪸1034=⫖↰⪸402B","layer":3},{"info":"NaN∀⇚≩⫖↰⪸402B=NaN","layer":2},{"info":"⫖↰⪸2819⊭↱⫖↰⪸984=⫖↰⪸-38A5","layer":3},{"info":"⫖↰⪸-38A5⇋≉=⫖↰⪸-7650","layer":2},{"info":"NaN*⫖↰⪸-7650=NaN","layer":1},{"info":"⫖↰⪸-36A14023⪢NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"((⊄⩳↩$1418$)⇼⇔∾$1077$⨰$4607$)⨰((⇁⨣⪵$1044$)↙$1558$⨐⩸⫘$3272$)⨁⊸⫻","expression":"((⊄⩳↩⫖↰⪸9A2)⇼⇔∾⫖↰⪸759⨰⫖↰⪸27BB)⨰((⇁⨣⪵⫖↰⪸730)↙⫖↰⪸A9A⨐⩸⫘⫖↰⪸1A88)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21,"operation_count":8,"complexity_ratio":2.625,"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":1418,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1077,"base":12},"right_expr":{"type":"numeric_atoms","value":4607,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1044,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1558,"base":12},"right_expr":{"type":"numeric_atoms","value":3272,"base":12}}}}},"used_operators":["glklzrTFfD","eewbuw0ToL","tifHPKVTfV","8w2t5hMYqp","yyfyN0ffXY","inkyxCbjAn","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4254","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=4607","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=4607, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3520","layer":3},{"info":"compute binary expreesion, left_input=-4254, right_input=-3520, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=734","layer":2},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1558","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=3272, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=734, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊄⩳↩⫖↰⪸9A2)⇼⇔∾⫖↰⪸759⨰⫖↰⪸27BB)⨰((⇁⨣⪵⫖↰⪸730)↙⫖↰⪸A9A⨐⩸⫘⫖↰⪸1A88)⨁⊸⫻=NaN","reverse_text":"NaN=((⊄⩳↩⫖↰⪸9A2)⇼⇔∾⫖↰⪸759⨰⫖↰⪸27BB)⨰((⇁⨣⪵⫖↰⪸730)↙⫖↰⪸A9A⨐⩸⫘⫖↰⪸1A88)⨁⊸⫻","cot":[{"info":"⊄⩳↩⫖↰⪸9A2=⫖↰⪸-2566","layer":3},{"info":"⫖↰⪸759⨰⫖↰⪸27BB=⫖↰⪸-2054","layer":3},{"info":"⫖↰⪸-2566⇼⇔∾⫖↰⪸-2054=⫖↰⪸512","layer":2},{"info":"⇁⨣⪵⫖↰⪸730=NaN","layer":3},{"info":"⫖↰⪸A9A⨐⩸⫘⫖↰⪸1A88=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"⫖↰⪸512⨰NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"($5746$⋝⋈⪟$1398$⩚⊴⇥($3728$⋷$2207$)⪒($1648$⇷$9076$⪨≂(⨵≀≌$4490$)))≎⊠⪸(-($2151$⪠⩆⊳)⪮%⊝$1458$⪢$2358$)","expression":"(⫖↰⪸33AA⋝⋈⪟⫖↰⪸986⩚⊴⇥(⫖↰⪸21A8⋷⫖↰⪸133B)⪒(⫖↰⪸B54⇷⫖↰⪸5304⪨≂(⨵≀≌⫖↰⪸2722)))≎⊠⪸(-(⫖↰⪸12B3⪠⩆⊳)⪮%⊝⫖↰⪸A16⪢⫖↰⪸1446)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25483,"operation_count":12,"complexity_ratio":2123.5833333333335,"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":5746,"base":12},"right_expr":{"type":"numeric_atoms","value":1398,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3728,"base":12},"right_expr":{"type":"numeric_atoms","value":2207,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1648,"base":12},"right_expr":{"type":"numeric_atoms","value":9076,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4490,"base":12}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2151,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1458,"base":12},"right_expr":{"type":"numeric_atoms","value":2358,"base":12}}}}},"used_operators":["bJkvcejdHO","f6k1SAg4EE","NTOWxs364D","2DDjHMKMc0","23Mk6UjR3U","sdazOOVcIp","mp7IySMOzn","srAu1WTS94","t8gj7n24qd","IWmyXbctLI","JLbD19bQDL","dWAJyo7jo9"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5746","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=5746, right_input=1398, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5746","layer":3},{"info":"number node, value=3728","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=3728, right_input=2207, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=686","layer":3},{"info":"compute binary expreesion, left_input=5746, right_input=686, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6553","layer":2},{"info":"number node, value=1648","layer":4},{"info":"number node, value=9076","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=9076, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18152","layer":3},{"info":"number node, value=4490","layer":4},{"info":"compute unary expreesion, input=4490, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13470","layer":3},{"info":"compute binary expreesion, left_input=18152, right_input=-13470, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=63346","layer":2},{"info":"compute binary expreesion, left_input=-6553, right_input=63346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-56793","layer":1},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, 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=1458","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=2358, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-56793, 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":"(⫖↰⪸33AA⋝⋈⪟⫖↰⪸986⩚⊴⇥(⫖↰⪸21A8⋷⫖↰⪸133B)⪒(⫖↰⪸B54⇷⫖↰⪸5304⪨≂(⨵≀≌⫖↰⪸2722)))≎⊠⪸(-(⫖↰⪸12B3⪠⩆⊳)⪮%⊝⫖↰⪸A16⪢⫖↰⪸1446)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸33AA⋝⋈⪟⫖↰⪸986⩚⊴⇥(⫖↰⪸21A8⋷⫖↰⪸133B)⪒(⫖↰⪸B54⇷⫖↰⪸5304⪨≂(⨵≀≌⫖↰⪸2722)))≎⊠⪸(-(⫖↰⪸12B3⪠⩆⊳)⪮%⊝⫖↰⪸A16⪢⫖↰⪸1446)","cot":[{"info":"⫖↰⪸33AA⋝⋈⪟⫖↰⪸986=⫖↰⪸33AA","layer":3},{"info":"⫖↰⪸21A8⋷⫖↰⪸133B=⫖↰⪸492","layer":3},{"info":"⫖↰⪸33AA⩚⊴⇥⫖↰⪸492=⫖↰⪸-3961","layer":2},{"info":"⫖↰⪸B54⇷⫖↰⪸5304=⫖↰⪸A608","layer":3},{"info":"⨵≀≌⫖↰⪸2722=⫖↰⪸-7966","layer":3},{"info":"⫖↰⪸A608⪨≂⫖↰⪸-7966=⫖↰⪸307AA","layer":2},{"info":"⫖↰⪸-3961⪒⫖↰⪸307AA=⫖↰⪸-28A49","layer":1},{"info":"⫖↰⪸12B3⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A16⪢⫖↰⪸1446=NaN","layer":3},{"info":"⫖↰⪸0⪮%⊝NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫖↰⪸-28A49≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":421,"expression_no_base_symbol":"(($1685$+⇶⊼$7005$+$1180$∑⇟⊟$3950$)⫸⊐(↩($4143$⪒$2004$)))⪛(($8885$⋳⪒$1607$⨵⪆$1163$⩚⊴⇥$6146$)⊘)","expression":"((⫖↰⪸B85+⇶⊼⫖↰⪸4079+⫖↰⪸824∑⇟⊟⫖↰⪸2352)⫸⊐(↩(⫖↰⪸2493⪒⫖↰⪸11B0)))⪛((⫖↰⪸5185⋳⪒⫖↰⪸B1B⨵⪆⫖↰⪸80B⩚⊴⇥⫖↰⪸3682)⊘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64,"operation_count":11,"complexity_ratio":5.818181818181818,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1685,"base":12},"right_expr":{"type":"numeric_atoms","value":7005,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1180,"base":12},"right_expr":{"type":"numeric_atoms","value":3950,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4143,"base":12},"right_expr":{"type":"numeric_atoms","value":2004,"base":12}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8885,"base":12},"right_expr":{"type":"numeric_atoms","value":1607,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1163,"base":12},"right_expr":{"type":"numeric_atoms","value":6146,"base":12}}}}},"used_operators":["uFcxV4UQCh","mqXw5SEYmG","W4YGzv6Whe","TpPTUOHfaN","U7g4x0WXJJ","jLgFTUHLKL","f6k1SAg4EE","gu96TGCTMs","2DQ55sFlQl","12rbrZMWeM","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":4},{"info":"number node, value=7005","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=7005, 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=1180","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=3950, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4143","layer":4},{"info":"number node, value=2004","layer":4},{"info":"compute binary expreesion, left_input=4143, right_input=2004, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6147","layer":3},{"info":"compute unary expreesion, input=-6147, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=27208","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27208, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=8885","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=8885, right_input=1607, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15876","layer":3},{"info":"number node, value=1163","layer":4},{"info":"number node, value=6146","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=6146, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7430","layer":3},{"info":"compute binary expreesion, left_input=15876, right_input=-7430, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B85+⇶⊼⫖↰⪸4079+⫖↰⪸824∑⇟⊟⫖↰⪸2352)⫸⊐(↩(⫖↰⪸2493⪒⫖↰⪸11B0)))⪛((⫖↰⪸5185⋳⪒⫖↰⪸B1B⨵⪆⫖↰⪸80B⩚⊴⇥⫖↰⪸3682)⊘)=NaN","reverse_text":"NaN=((⫖↰⪸B85+⇶⊼⫖↰⪸4079+⫖↰⪸824∑⇟⊟⫖↰⪸2352)⫸⊐(↩(⫖↰⪸2493⪒⫖↰⪸11B0)))⪛((⫖↰⪸5185⋳⪒⫖↰⪸B1B⨵⪆⫖↰⪸80B⩚⊴⇥⫖↰⪸3682)⊘)","cot":[{"info":"⫖↰⪸B85+⇶⊼⫖↰⪸4079=NaN","layer":3},{"info":"⫖↰⪸824∑⇟⊟⫖↰⪸2352=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⫖↰⪸2493⪒⫖↰⪸11B0=⫖↰⪸-3683","layer":3},{"info":"↩⫖↰⪸-3683=⫖↰⪸138B4","layer":2},{"info":"NaN⫸⊐⫖↰⪸138B4=NaN","layer":1},{"info":"⫖↰⪸5185⋳⪒⫖↰⪸B1B=⫖↰⪸9230","layer":3},{"info":"⫖↰⪸80B⩚⊴⇥⫖↰⪸3682=⫖↰⪸-4372","layer":3},{"info":"⫖↰⪸9230⨵⪆⫖↰⪸-4372=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⊘=⫖↰⪸0","layer":1},{"info":"NaN⪛⫖↰⪸0=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"((⨞⊢$4347$⨰$1870$)⨐⩸⫘($1627$+$1948$)⩚⊴⇥(↣≠⋷$3325$))≹⇙⪍(⋗⩬⋾(($2648$%$1602$)⪐))","expression":"((⨞⊢⫖↰⪸2623⨰⫖↰⪸10BA)⨐⩸⫘(⫖↰⪸B37+⫖↰⪸1164)⩚⊴⇥(↣≠⋷⫖↰⪸1B11))≹⇙⪍(⋗⩬⋾((⫖↰⪸1648%⫖↰⪸B16)⪐))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23,"operation_count":10,"complexity_ratio":2.3,"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":4347,"base":12},"right_expr":{"type":"numeric_atoms","value":1870,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1627,"base":12},"right_expr":{"type":"numeric_atoms","value":1948,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3325,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2648,"base":12},"right_expr":{"type":"numeric_atoms","value":1602,"base":12}}}}},"used_operators":["AHs5Up7iyr","fu6greOZ01","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","W4YGzv6Whe","Asc51vEJeQ","DpFCA1CohY","eH2TOUuTDT","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4347","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=1870, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2487","layer":3},{"info":"compute unary expreesion, input=2487, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2661","layer":2},{"info":"number node, value=1627","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1948, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3575","layer":3},{"info":"number node, value=3325","layer":4},{"info":"compute unary expreesion, input=3325, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3575, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2661, 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=2648","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=1602, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1046","layer":3},{"info":"compute unary expreesion, input=1046, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2092","layer":2},{"info":"compute unary expreesion, input=2092, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6276","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6276, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⨞⊢⫖↰⪸2623⨰⫖↰⪸10BA)⨐⩸⫘(⫖↰⪸B37+⫖↰⪸1164)⩚⊴⇥(↣≠⋷⫖↰⪸1B11))≹⇙⪍(⋗⩬⋾((⫖↰⪸1648%⫖↰⪸B16)⪐))=NaN","reverse_text":"NaN=((⨞⊢⫖↰⪸2623⨰⫖↰⪸10BA)⨐⩸⫘(⫖↰⪸B37+⫖↰⪸1164)⩚⊴⇥(↣≠⋷⫖↰⪸1B11))≹⇙⪍(⋗⩬⋾((⫖↰⪸1648%⫖↰⪸B16)⪐))","cot":[{"info":"⫖↰⪸2623⨰⫖↰⪸10BA=⫖↰⪸1533","layer":3},{"info":"⨞⊢⫖↰⪸1533=⫖↰⪸-1659","layer":2},{"info":"⫖↰⪸B37+⫖↰⪸1164=⫖↰⪸209B","layer":3},{"info":"↣≠⋷⫖↰⪸1B11=NaN","layer":3},{"info":"⫖↰⪸209B⩚⊴⇥NaN=NaN","layer":2},{"info":"⫖↰⪸-1659⨐⩸⫘NaN=NaN","layer":1},{"info":"⫖↰⪸1648%⫖↰⪸B16=⫖↰⪸732","layer":3},{"info":"⫖↰⪸732⪐=⫖↰⪸1264","layer":2},{"info":"⋗⩬⋾⫖↰⪸1264=⫖↰⪸-3770","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸-3770=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"($2109$*$1267$⨸⪁$6301$⋓$1484$)⇷(↩$2483$⨓$1175$)⩨(($2907$/$5526$)⊉≛↸$5911$↺$9287$⩨(⊙↵-($5261$↙$3916$)))","expression":"(⫖↰⪸1279*⫖↰⪸897⨸⪁⫖↰⪸3791⋓⫖↰⪸A38)⇷(↩⫖↰⪸152B⨓⫖↰⪸81B)⩨((⫖↰⪸1823/⫖↰⪸3246)⊉≛↸⫖↰⪸3507↺⫖↰⪸545B⩨(⊙↵-(⫖↰⪸3065↙⫖↰⪸2324)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18203,"operation_count":13,"complexity_ratio":1400.2307692307693,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2109,"base":12},"right_expr":{"type":"numeric_atoms","value":1267,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6301,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2483,"base":12},"right_expr":{"type":"numeric_atoms","value":1175,"base":12}}}},"right_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":5526,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5911,"base":12},"right_expr":{"type":"numeric_atoms","value":9287,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5261,"base":12},"right_expr":{"type":"numeric_atoms","value":3916,"base":12}}}}},"used_operators":["2DlMacCsIx","mp7IySMOzn","g55IO6H4Gj","9HNa5Wba9A","T2fj7uvVaJ","jLgFTUHLKL","3ViojmjbAp","DZ8iAZOCBD","XhwjNDsVaA","7j4O788W3g","oWn0xqSxBt","yyfyN0ffXY"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2109","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1267, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2672103","layer":3},{"info":"number node, value=6301","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=6301, right_input=1484, 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=2672103, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5344206","layer":2},{"info":"number node, value=2483","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=1175, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1178","layer":3},{"info":"compute unary expreesion, input=-1178, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=7332","layer":2},{"info":"compute binary expreesion, left_input=5344206, right_input=7332, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14664","layer":1},{"info":"number node, value=2907","layer":4},{"info":"number node, value=5526","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=5526, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5911","layer":4},{"info":"number node, value=9287","layer":4},{"info":"compute binary expreesion, left_input=5911, right_input=9287, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9287","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9287, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=5261","layer":4},{"info":"number node, value=3916","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=3916, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11748","layer":3},{"info":"compute unary expreesion, input=-11748, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14664, right_input=nan, 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":"(⫖↰⪸1279*⫖↰⪸897⨸⪁⫖↰⪸3791⋓⫖↰⪸A38)⇷(↩⫖↰⪸152B⨓⫖↰⪸81B)⩨((⫖↰⪸1823/⫖↰⪸3246)⊉≛↸⫖↰⪸3507↺⫖↰⪸545B⩨(⊙↵-(⫖↰⪸3065↙⫖↰⪸2324)))=NaN","reverse_text":"NaN=(⫖↰⪸1279*⫖↰⪸897⨸⪁⫖↰⪸3791⋓⫖↰⪸A38)⇷(↩⫖↰⪸152B⨓⫖↰⪸81B)⩨((⫖↰⪸1823/⫖↰⪸3246)⊉≛↸⫖↰⪸3507↺⫖↰⪸545B⩨(⊙↵-(⫖↰⪸3065↙⫖↰⪸2324)))","cot":[{"info":"⫖↰⪸1279*⫖↰⪸897=⫖↰⪸A8A433","layer":3},{"info":"⫖↰⪸3791⋓⫖↰⪸A38=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A8A433⨸⪁⫖↰⪸0=⫖↰⪸1958866","layer":2},{"info":"⫖↰⪸152B⨓⫖↰⪸81B=⫖↰⪸-822","layer":3},{"info":"↩⫖↰⪸-822=⫖↰⪸42B0","layer":2},{"info":"⫖↰⪸1958866⇷⫖↰⪸42B0=⫖↰⪸85A0","layer":1},{"info":"⫖↰⪸1823/⫖↰⪸3246=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3507↺⫖↰⪸545B=⫖↰⪸545B","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸545B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3065↙⫖↰⪸2324=⫖↰⪸-6970","layer":3},{"info":"⊙↵-⫖↰⪸-6970=⫖↰⪸144","layer":2},{"info":"⫖↰⪸0⩨⫖↰⪸144=NaN","layer":1},{"info":"⫖↰⪸85A0⩨NaN=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"((∥⊫$2935$)⋥≓≎($2716$⫸⊐$4705$))∑⇟⊟(∂($7400$⫸⊐$1086$))≭((($6279$+$1318$)⊭↱(⨞⊢$1454$))⨳⩥⨓((⪝⪂⫅$1905$)+$4995$⨸⪁$5044$))","expression":"((∥⊫⫖↰⪸1847)⋥≓≎(⫖↰⪸16A4⫸⊐⫖↰⪸2881))∑⇟⊟(∂(⫖↰⪸4348⫸⊐⫖↰⪸766))≭(((⫖↰⪸3773+⫖↰⪸91A)⊭↱(⨞⊢⫖↰⪸A12))⨳⩥⨓((⪝⪂⫅⫖↰⪸1129)+⫖↰⪸2A83⨸⪁⫖↰⪸2B04))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":225,"operation_count":14,"complexity_ratio":16.071428571428573,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2935,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2716,"base":12},"right_expr":{"type":"numeric_atoms","value":4705,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7400,"base":12},"right_expr":{"type":"numeric_atoms","value":1086,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6279,"base":12},"right_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1454,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1905,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4995,"base":12},"right_expr":{"type":"numeric_atoms","value":5044,"base":12}}}}},"used_operators":["rxpJgHHUmx","U7g4x0WXJJ","Qy55tPpLXF","P8v4zCKN1o","mqXw5SEYmG","Uaa54Peajs","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","xUOZtlo3hN","XTarYq4gQB","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2935","layer":4},{"info":"compute unary expreesion, input=2935, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3803","layer":3},{"info":"number node, value=2716","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=4705, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18695","layer":3},{"info":"compute binary expreesion, left_input=3803, right_input=18695, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=33620","layer":2},{"info":"number node, value=7400","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=7400, right_input=1086, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4219","layer":3},{"info":"compute unary expreesion, input=4219, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=33620, 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=6279","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=6279, right_input=1318, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7597","layer":3},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1628","layer":3},{"info":"compute binary expreesion, left_input=7597, right_input=-1628, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-18445","layer":2},{"info":"number node, value=1905","layer":4},{"info":"compute unary expreesion, input=1905, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-280035","layer":3},{"info":"number node, value=4995","layer":4},{"info":"number node, value=5044","layer":4},{"info":"compute binary expreesion, left_input=4995, right_input=5044, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20078","layer":3},{"info":"compute binary expreesion, left_input=-280035, right_input=20078, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-259957","layer":2},{"info":"compute binary expreesion, left_input=-18445, right_input=-259957, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-241512","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-241512, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":"((∥⊫⫖↰⪸1847)⋥≓≎(⫖↰⪸16A4⫸⊐⫖↰⪸2881))∑⇟⊟(∂(⫖↰⪸4348⫸⊐⫖↰⪸766))≭(((⫖↰⪸3773+⫖↰⪸91A)⊭↱(⨞⊢⫖↰⪸A12))⨳⩥⨓((⪝⪂⫅⫖↰⪸1129)+⫖↰⪸2A83⨸⪁⫖↰⪸2B04))=NaN","reverse_text":"NaN=((∥⊫⫖↰⪸1847)⋥≓≎(⫖↰⪸16A4⫸⊐⫖↰⪸2881))∑⇟⊟(∂(⫖↰⪸4348⫸⊐⫖↰⪸766))≭(((⫖↰⪸3773+⫖↰⪸91A)⊭↱(⨞⊢⫖↰⪸A12))⨳⩥⨓((⪝⪂⫅⫖↰⪸1129)+⫖↰⪸2A83⨸⪁⫖↰⪸2B04))","cot":[{"info":"∥⊫⫖↰⪸1847=⫖↰⪸224B","layer":3},{"info":"⫖↰⪸16A4⫸⊐⫖↰⪸2881=⫖↰⪸A99B","layer":3},{"info":"⫖↰⪸224B⋥≓≎⫖↰⪸A99B=⫖↰⪸17558","layer":2},{"info":"⫖↰⪸4348⫸⊐⫖↰⪸766=⫖↰⪸2537","layer":3},{"info":"∂⫖↰⪸2537=NaN","layer":2},{"info":"⫖↰⪸17558∑⇟⊟NaN=NaN","layer":1},{"info":"⫖↰⪸3773+⫖↰⪸91A=⫖↰⪸4491","layer":3},{"info":"⨞⊢⫖↰⪸A12=⫖↰⪸-B38","layer":3},{"info":"⫖↰⪸4491⊭↱⫖↰⪸-B38=⫖↰⪸-A811","layer":2},{"info":"⪝⪂⫅⫖↰⪸1129=⫖↰⪸-116083","layer":3},{"info":"⫖↰⪸2A83⨸⪁⫖↰⪸2B04=⫖↰⪸B752","layer":3},{"info":"⫖↰⪸-116083+⫖↰⪸B752=⫖↰⪸-106531","layer":2},{"info":"⫖↰⪸-A811⨳⩥⨓⫖↰⪸-106531=⫖↰⪸-B7920","layer":1},{"info":"NaN≭⫖↰⪸-B7920=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"($3467$⊉≛↸$1007$%(⊙↵-$2280$))⊴(⪝⪂⫅($4356$⪄$6478$))⪢(($6066$⋥≓≎$2223$)⋓($6556$⫸⊐$6460$))≹⇙⪍(($2655$+$3136$)⪢($1392$⩷∴$1157$))","expression":"(⫖↰⪸200B⊉≛↸⫖↰⪸6BB%(⊙↵-⫖↰⪸13A0))⊴(⪝⪂⫅(⫖↰⪸2630⪄⫖↰⪸38BA))⪢((⫖↰⪸3616⋥≓≎⫖↰⪸1353)⋓(⫖↰⪸3964⫸⊐⫖↰⪸38A4))≹⇙⪍((⫖↰⪸1653+⫖↰⪸1994)⪢(⫖↰⪸980⩷∴⫖↰⪸805))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17628,"operation_count":14,"complexity_ratio":1259.142857142857,"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":3467,"base":12},"right_expr":{"type":"numeric_atoms","value":1007,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2280,"base":12}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4356,"base":12},"right_expr":{"type":"numeric_atoms","value":6478,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6066,"base":12},"right_expr":{"type":"numeric_atoms","value":2223,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6556,"base":12},"right_expr":{"type":"numeric_atoms","value":6460,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2655,"base":12},"right_expr":{"type":"numeric_atoms","value":3136,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1392,"base":12},"right_expr":{"type":"numeric_atoms","value":1157,"base":12}}}}},"used_operators":["dWAJyo7jo9","Nsiff2A1zJ","k8jYdgA6NY","DZ8iAZOCBD","oWn0xqSxBt","XTarYq4gQB","SUmda5xLS4","AHs5Up7iyr","T2fj7uvVaJ","Qy55tPpLXF","mqXw5SEYmG","W4YGzv6Whe","9FxExcQeMw"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3467","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3467, right_input=1007, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6934","layer":3},{"info":"number node, value=2280","layer":4},{"info":"compute unary expreesion, input=2280, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=6934, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=4356","layer":4},{"info":"number node, value=6478","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=6478, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-666689","layer":3},{"info":"compute unary expreesion, input=-666689, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=98003283","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=98003283, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6066","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=6066, right_input=2223, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1587","layer":3},{"info":"number node, value=6556","layer":4},{"info":"number node, value=6460","layer":4},{"info":"compute binary expreesion, left_input=6556, right_input=6460, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25715","layer":3},{"info":"compute binary expreesion, left_input=-1587, right_input=25715, 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=2655","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=3136, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5791","layer":3},{"info":"number node, value=1392","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=1157, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=438","layer":3},{"info":"compute binary expreesion, left_input=5791, right_input=438, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"(⫖↰⪸200B⊉≛↸⫖↰⪸6BB%(⊙↵-⫖↰⪸13A0))⊴(⪝⪂⫅(⫖↰⪸2630⪄⫖↰⪸38BA))⪢((⫖↰⪸3616⋥≓≎⫖↰⪸1353)⋓(⫖↰⪸3964⫸⊐⫖↰⪸38A4))≹⇙⪍((⫖↰⪸1653+⫖↰⪸1994)⪢(⫖↰⪸980⩷∴⫖↰⪸805))=NaN","reverse_text":"NaN=(⫖↰⪸200B⊉≛↸⫖↰⪸6BB%(⊙↵-⫖↰⪸13A0))⊴(⪝⪂⫅(⫖↰⪸2630⪄⫖↰⪸38BA))⪢((⫖↰⪸3616⋥≓≎⫖↰⪸1353)⋓(⫖↰⪸3964⫸⊐⫖↰⪸38A4))≹⇙⪍((⫖↰⪸1653+⫖↰⪸1994)⪢(⫖↰⪸980⩷∴⫖↰⪸805))","cot":[{"info":"⫖↰⪸200B⊉≛↸⫖↰⪸6BB=⫖↰⪸401A","layer":3},{"info":"⊙↵-⫖↰⪸13A0=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸401A%⫖↰⪸-1=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2630⪄⫖↰⪸38BA=⫖↰⪸-281995","layer":3},{"info":"⪝⪂⫅⫖↰⪸-281995=⫖↰⪸289A2A43","layer":2},{"info":"⫖↰⪸0⊴⫖↰⪸289A2A43=NaN","layer":1},{"info":"⫖↰⪸3616⋥≓≎⫖↰⪸1353=⫖↰⪸-B03","layer":3},{"info":"⫖↰⪸3964⫸⊐⫖↰⪸38A4=⫖↰⪸12A6B","layer":3},{"info":"⫖↰⪸-B03⋓⫖↰⪸12A6B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1653+⫖↰⪸1994=⫖↰⪸3427","layer":3},{"info":"⫖↰⪸980⩷∴⫖↰⪸805=⫖↰⪸306","layer":3},{"info":"⫖↰⪸3427⪢⫖↰⪸306=NaN","layer":2},{"info":"⫖↰⪸0≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"(≦∁($4993$↪⪝)⨰(∥⊫$2517$))⪒$2559$⩚⊴⇥$5368$⊭↱($2159$⫌⩹⨱)⇼⇔∾($5391$⇼⇔∾$3393$)∑⇟⊟($3401$⋓$3201$)","expression":"(≦∁(⫖↰⪸2A81↪⪝)⨰(∥⊫⫖↰⪸1559))⪒⫖↰⪸1593⩚⊴⇥⫖↰⪸3134⊭↱(⫖↰⪸12BB⫌⩹⨱)⇼⇔∾(⫖↰⪸3153⇼⇔∾⫖↰⪸1B69)∑⇟⊟(⫖↰⪸1B75⋓⫖↰⪸1A29)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":748,"operation_count":12,"complexity_ratio":62.333333333333336,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4993,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2517,"base":12}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2559,"base":12},"right_expr":{"type":"numeric_atoms","value":5368,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2159,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5391,"base":12},"right_expr":{"type":"numeric_atoms","value":3393,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3401,"base":12},"right_expr":{"type":"numeric_atoms","value":3201,"base":12}}}}},"used_operators":["f6k1SAg4EE","9ICcGScMcE","eewbuw0ToL","l07mrZUIn9","P8v4zCKN1o","tifHPKVTfV","COABgblf1C","NTOWxs364D","EBcxylXtPf","U7g4x0WXJJ","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-8636443A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4993","layer":4},{"info":"compute unary expreesion, input=4993, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=305481726","layer":3},{"info":"number node, value=2517","layer":4},{"info":"compute unary expreesion, input=2517, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3385","layer":3},{"info":"compute binary expreesion, left_input=305481726, right_input=3385, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=305478351","layer":2},{"info":"compute unary expreesion, input=305478351, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=305478351","layer":1},{"info":"number node, value=2559","layer":4},{"info":"number node, value=5368","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=5368, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8048","layer":3},{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5719","layer":3},{"info":"compute binary expreesion, left_input=-8048, right_input=5719, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=27539","layer":2},{"info":"number node, value=5391","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=5391, right_input=3393, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1998","layer":3},{"info":"number node, value=3401","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=3201, 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=-1998, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-1998","layer":2},{"info":"compute binary expreesion, left_input=27539, right_input=-1998, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-29537","layer":1},{"info":"compute binary expreesion, left_input=305478351, right_input=-29537, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-305448814","layer":0}],"base":12,"result_base":12,"text":"(≦∁(⫖↰⪸2A81↪⪝)⨰(∥⊫⫖↰⪸1559))⪒⫖↰⪸1593⩚⊴⇥⫖↰⪸3134⊭↱(⫖↰⪸12BB⫌⩹⨱)⇼⇔∾(⫖↰⪸3153⇼⇔∾⫖↰⪸1B69)∑⇟⊟(⫖↰⪸1B75⋓⫖↰⪸1A29)=⫖↰⪸-8636443A","reverse_text":"⫖↰⪸-8636443A=(≦∁(⫖↰⪸2A81↪⪝)⨰(∥⊫⫖↰⪸1559))⪒⫖↰⪸1593⩚⊴⇥⫖↰⪸3134⊭↱(⫖↰⪸12BB⫌⩹⨱)⇼⇔∾(⫖↰⪸3153⇼⇔∾⫖↰⪸1B69)∑⇟⊟(⫖↰⪸1B75⋓⫖↰⪸1A29)","cot":[{"info":"⫖↰⪸2A81↪⪝=⫖↰⪸8637B4A6","layer":3},{"info":"∥⊫⫖↰⪸1559=⫖↰⪸1B61","layer":3},{"info":"⫖↰⪸8637B4A6⨰⫖↰⪸1B61=⫖↰⪸86379553","layer":2},{"info":"≦∁⫖↰⪸86379553=⫖↰⪸86379553","layer":1},{"info":"⫖↰⪸1593⩚⊴⇥⫖↰⪸3134=⫖↰⪸-47A8","layer":3},{"info":"⫖↰⪸12BB⫌⩹⨱=⫖↰⪸3387","layer":3},{"info":"⫖↰⪸-47A8⊭↱⫖↰⪸3387=⫖↰⪸13B2B","layer":2},{"info":"⫖↰⪸3153⇼⇔∾⫖↰⪸1B69=⫖↰⪸-11A6","layer":3},{"info":"⫖↰⪸1B75⋓⫖↰⪸1A29=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-11A6∑⇟⊟⫖↰⪸0=⫖↰⪸-11A6","layer":2},{"info":"⫖↰⪸13B2B⇼⇔∾⫖↰⪸-11A6=⫖↰⪸-15115","layer":1},{"info":"⫖↰⪸86379553⪒⫖↰⪸-15115=⫖↰⪸-8636443A","layer":0}]}
{"id":427,"expression_no_base_symbol":"⫛⫱⨽(⨈⫕(⪲⇎$1342$)⨟⋌⩍$2959$⨟⋌⩍$2372$)","expression":"⫛⫱⨽(⨈⫕(⪲⇎⫖↰⪸93A)⨟⋌⩍⫖↰⪸1867⨟⋌⩍⫖↰⪸1458)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1322,"operation_count":5,"complexity_ratio":264.4,"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":1342,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2959,"base":12},"right_expr":{"type":"numeric_atoms","value":2372,"base":12}}}}},"used_operators":["DlLNRPXxWL","megm06wKyl","rGHVDoGpnC","XPYlsWDdGa"],"dependent_operators":["rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2684","layer":3},{"info":"number node, value=2959","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=2372, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2684, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⨈⫕(⪲⇎⫖↰⪸93A)⨟⋌⩍⫖↰⪸1867⨟⋌⩍⫖↰⪸1458)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⨈⫕(⪲⇎⫖↰⪸93A)⨟⋌⩍⫖↰⪸1867⨟⋌⩍⫖↰⪸1458)","cot":[{"info":"⪲⇎⫖↰⪸93A=⫖↰⪸1678","layer":3},{"info":"⫖↰⪸1867⨟⋌⩍⫖↰⪸1458=NaN","layer":3},{"info":"⫖↰⪸1678⨟⋌⩍NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫛⫱⨽⫖↰⪸-19=⫖↰⪸0","layer":0}]}
{"id":428,"expression_no_base_symbol":"($1908$⩚⊴⇥$1542$⨎($2895$≫≃)⫡⨏(($2792$↪⪝)≋⫹))⨪↰⇹(($7717$⊭↱$2287$)⨪↰⇹($6908$⊉≛↸$2678$)⪨≂($2041$⋓$8767$)⨪↰⇹($2049$⩷∴$4623$))","expression":"(⫖↰⪸1130⩚⊴⇥⫖↰⪸A86⨎(⫖↰⪸1813≫≃)⫡⨏((⫖↰⪸1748↪⪝)≋⫹))⨪↰⇹((⫖↰⪸4571⊭↱⫖↰⪸13A7)⨪↰⇹(⫖↰⪸3BB8⊉≛↸⫖↰⪸1672)⪨≂(⫖↰⪸1221⋓⫖↰⪸50A7)⨪↰⇹(⫖↰⪸1229⩷∴⫖↰⪸2813))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11610,"operation_count":14,"complexity_ratio":829.2857142857143,"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":1908,"base":12},"right_expr":{"type":"numeric_atoms","value":1542,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2895,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2792,"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":2287,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6908,"base":12},"right_expr":{"type":"numeric_atoms","value":2678,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2041,"base":12},"right_expr":{"type":"numeric_atoms","value":8767,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2049,"base":12},"right_expr":{"type":"numeric_atoms","value":4623,"base":12}}}}},"used_operators":["tmPS8pqC7x","QMFrweE19q","rJVOvQCfKK","NTOWxs364D","X99M06cbEe","N41Kp7NANJ","l07mrZUIn9","sdazOOVcIp","COABgblf1C","DZ8iAZOCBD","T2fj7uvVaJ","9FxExcQeMw"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1908","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1542, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3571","layer":3},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7191","layer":3},{"info":"compute binary expreesion, left_input=-3571, right_input=7191, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7191","layer":2},{"info":"number node, value=2792","layer":4},{"info":"compute unary expreesion, input=2792, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=170820144","layer":3},{"info":"compute unary expreesion, input=170820144, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-341640288","layer":2},{"info":"compute binary expreesion, left_input=7191, right_input=-341640288, 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=-683243838","layer":1},{"info":"number node, value=7717","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=2287, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10855","layer":3},{"info":"number node, value=6908","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=6908, right_input=2678, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13816","layer":3},{"info":"compute binary expreesion, left_input=-10855, right_input=13816, 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=10855","layer":2},{"info":"number node, value=2041","layer":4},{"info":"number node, value=8767","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=8767, 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=2049","layer":4},{"info":"number node, value=4623","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=4623, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5180","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5180, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=10855, 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=21812","layer":1},{"info":"compute binary expreesion, left_input=-683243838, right_input=21812, 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":"(⫖↰⪸1130⩚⊴⇥⫖↰⪸A86⨎(⫖↰⪸1813≫≃)⫡⨏((⫖↰⪸1748↪⪝)≋⫹))⨪↰⇹((⫖↰⪸4571⊭↱⫖↰⪸13A7)⨪↰⇹(⫖↰⪸3BB8⊉≛↸⫖↰⪸1672)⪨≂(⫖↰⪸1221⋓⫖↰⪸50A7)⨪↰⇹(⫖↰⪸1229⩷∴⫖↰⪸2813))=NaN","reverse_text":"NaN=(⫖↰⪸1130⩚⊴⇥⫖↰⪸A86⨎(⫖↰⪸1813≫≃)⫡⨏((⫖↰⪸1748↪⪝)≋⫹))⨪↰⇹((⫖↰⪸4571⊭↱⫖↰⪸13A7)⨪↰⇹(⫖↰⪸3BB8⊉≛↸⫖↰⪸1672)⪨≂(⫖↰⪸1221⋓⫖↰⪸50A7)⨪↰⇹(⫖↰⪸1229⩷∴⫖↰⪸2813))","cot":[{"info":"⫖↰⪸1130⩚⊴⇥⫖↰⪸A86=⫖↰⪸-2097","layer":3},{"info":"⫖↰⪸1813≫≃=⫖↰⪸41B3","layer":3},{"info":"⫖↰⪸-2097⨎⫖↰⪸41B3=⫖↰⪸41B3","layer":2},{"info":"⫖↰⪸1748↪⪝=⫖↰⪸4925A300","layer":3},{"info":"⫖↰⪸4925A300≋⫹=⫖↰⪸-964B8600","layer":2},{"info":"⫖↰⪸41B3⫡⨏⫖↰⪸-964B8600=⫖↰⪸-1709978A6","layer":1},{"info":"⫖↰⪸4571⊭↱⫖↰⪸13A7=⫖↰⪸-6347","layer":3},{"info":"⫖↰⪸3BB8⊉≛↸⫖↰⪸1672=⫖↰⪸7BB4","layer":3},{"info":"⫖↰⪸-6347⨪↰⇹⫖↰⪸7BB4=⫖↰⪸6347","layer":2},{"info":"⫖↰⪸1221⋓⫖↰⪸50A7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1229⩷∴⫖↰⪸2813=⫖↰⪸-2BB8","layer":3},{"info":"⫖↰⪸0⨪↰⇹⫖↰⪸-2BB8=⫖↰⪸0","layer":2},{"info":"⫖↰⪸6347⪨≂⫖↰⪸0=⫖↰⪸10758","layer":1},{"info":"⫖↰⪸-1709978A6⨪↰⇹⫖↰⪸10758=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"($2952$⩤)⨓(↣≠⋷$6557$)⨳⩥⨓(⨑⩽⪐$1389$≎⊠⪸$2247$)*(($1009$⊦⊿)%$5529$⊭↱$3793$)∼(($2161$+$4456$)⪛($4118$↬$3847$))","expression":"(⫖↰⪸1860⩤)⨓(↣≠⋷⫖↰⪸3965)⨳⩥⨓(⨑⩽⪐⫖↰⪸979≎⊠⪸⫖↰⪸1373)*((⫖↰⪸701⊦⊿)%⫖↰⪸3249⊭↱⫖↰⪸2241)∼((⫖↰⪸1301+⫖↰⪸26B4)⪛(⫖↰⪸2472↬⫖↰⪸2287))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":370,"operation_count":14,"complexity_ratio":26.428571428571427,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2952,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6557,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1389,"base":12},"right_expr":{"type":"numeric_atoms","value":2247,"base":12}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1009,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5529,"base":12},"right_expr":{"type":"numeric_atoms","value":3793,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2161,"base":12},"right_expr":{"type":"numeric_atoms","value":4456,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4118,"base":12},"right_expr":{"type":"numeric_atoms","value":3847,"base":12}}}}},"used_operators":["9HNa5Wba9A","nCS4ZIUYfx","3ViojmjbAp","Z2TMIBDE3Q","Asc51vEJeQ","AF7qkfDlqP","bJkvcejdHO","DyGG3AbaNP","k8jYdgA6NY","14qkJME0vr","COABgblf1C","uFcxV4UQCh","W4YGzv6Whe","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"compute unary expreesion, input=2952, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2952","layer":3},{"info":"number node, value=6557","layer":4},{"info":"compute unary expreesion, input=6557, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2952, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1389","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=2247, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=359278","layer":3},{"info":"compute unary expreesion, input=359278, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-359005","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-359005, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3106","layer":3},{"info":"number node, value=5529","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=5529, right_input=3793, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3467","layer":3},{"info":"compute binary expreesion, left_input=-3106, right_input=-3467, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3106","layer":2},{"info":"number node, value=2161","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=4456, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6617","layer":3},{"info":"number node, value=4118","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=3847, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6617, 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=-3106, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1860⩤)⨓(↣≠⋷⫖↰⪸3965)⨳⩥⨓(⨑⩽⪐⫖↰⪸979≎⊠⪸⫖↰⪸1373)*((⫖↰⪸701⊦⊿)%⫖↰⪸3249⊭↱⫖↰⪸2241)∼((⫖↰⪸1301+⫖↰⪸26B4)⪛(⫖↰⪸2472↬⫖↰⪸2287))=NaN","reverse_text":"NaN=(⫖↰⪸1860⩤)⨓(↣≠⋷⫖↰⪸3965)⨳⩥⨓(⨑⩽⪐⫖↰⪸979≎⊠⪸⫖↰⪸1373)*((⫖↰⪸701⊦⊿)%⫖↰⪸3249⊭↱⫖↰⪸2241)∼((⫖↰⪸1301+⫖↰⪸26B4)⪛(⫖↰⪸2472↬⫖↰⪸2287))","cot":[{"info":"⫖↰⪸1860⩤=⫖↰⪸-1860","layer":3},{"info":"↣≠⋷⫖↰⪸3965=NaN","layer":3},{"info":"⫖↰⪸-1860⨓NaN=NaN","layer":2},{"info":"⫖↰⪸979≎⊠⪸⫖↰⪸1373=⫖↰⪸153ABA","layer":3},{"info":"⨑⩽⪐⫖↰⪸153ABA=⫖↰⪸-153911","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-153911=NaN","layer":1},{"info":"⫖↰⪸701⊦⊿=⫖↰⪸-196A","layer":3},{"info":"⫖↰⪸3249⊭↱⫖↰⪸2241=⫖↰⪸-200B","layer":3},{"info":"⫖↰⪸-196A%⫖↰⪸-200B=⫖↰⪸-196A","layer":2},{"info":"⫖↰⪸1301+⫖↰⪸26B4=⫖↰⪸39B5","layer":3},{"info":"⫖↰⪸2472↬⫖↰⪸2287=NaN","layer":3},{"info":"⫖↰⪸39B5⪛NaN=NaN","layer":2},{"info":"⫖↰⪸-196A∼NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"↩(↯⪼(($2754$∲⫓$2852$)⩠))","expression":"↩(↯⪼((⫖↰⪸1716∲⫓⫖↰⪸1798)⩠))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":70,"operation_count":4,"complexity_ratio":17.5,"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":2754,"base":12},"right_expr":{"type":"numeric_atoms","value":2852,"base":12}}}}},"used_operators":["jLgFTUHLKL","8jW3W4yZS5","sJAwomhLZr","i8ToyICDmI"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2B48","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2754","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=2852, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":0}],"base":12,"result_base":12,"text":"↩(↯⪼((⫖↰⪸1716∲⫓⫖↰⪸1798)⩠))=⫖↰⪸2B48","reverse_text":"⫖↰⪸2B48=↩(↯⪼((⫖↰⪸1716∲⫓⫖↰⪸1798)⩠))","cot":[{"info":"⫖↰⪸1716∲⫓⫖↰⪸1798=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩠=NaN","layer":2},{"info":"↯⪼NaN=⫖↰⪸-19","layer":1},{"info":"↩⫖↰⪸-19=⫖↰⪸2B48","layer":0}]}
{"id":431,"expression_no_base_symbol":"(∂($4599$*$9143$))⪛(($2989$⋷$6252$)⇷($1509$∲⫓$4981$))≎⊠⪸(⋗⩬⋾($1901$⨪↰⇹$4766$⊭∹↮))","expression":"(∂(⫖↰⪸27B3*⫖↰⪸535B))⪛((⫖↰⪸1891⋷⫖↰⪸3750)⇷(⫖↰⪸A59∲⫓⫖↰⪸2A71))≎⊠⪸(⋗⩬⋾(⫖↰⪸1125⨪↰⇹⫖↰⪸2912⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139746,"operation_count":10,"complexity_ratio":13974.6,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4599,"base":12},"right_expr":{"type":"numeric_atoms","value":9143,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2989,"base":12},"right_expr":{"type":"numeric_atoms","value":6252,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1509,"base":12},"right_expr":{"type":"numeric_atoms","value":4981,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1901,"base":12},"right_expr":{"type":"numeric_atoms","value":4766,"base":12}}}}},"used_operators":["bJkvcejdHO","uFcxV4UQCh","Uaa54Peajs","9HNa5Wba9A","mp7IySMOzn","23Mk6UjR3U","i8ToyICDmI","DpFCA1CohY","xNBdhnnwKq","tmPS8pqC7x"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4599","layer":4},{"info":"number node, value=9143","layer":4},{"info":"compute binary expreesion, left_input=4599, right_input=9143, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=42048657","layer":3},{"info":"compute unary expreesion, input=42048657, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2989","layer":4},{"info":"number node, value=6252","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=6252, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9515","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=4981","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=4981, 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=9515, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1901","layer":4},{"info":"number node, value=4766","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=4766, 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=1901","layer":3},{"info":"compute unary expreesion, input=1901, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3802","layer":2},{"info":"compute unary expreesion, input=3802, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11406","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11406, 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":"(∂(⫖↰⪸27B3*⫖↰⪸535B))⪛((⫖↰⪸1891⋷⫖↰⪸3750)⇷(⫖↰⪸A59∲⫓⫖↰⪸2A71))≎⊠⪸(⋗⩬⋾(⫖↰⪸1125⨪↰⇹⫖↰⪸2912⊭∹↮))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(∂(⫖↰⪸27B3*⫖↰⪸535B))⪛((⫖↰⪸1891⋷⫖↰⪸3750)⇷(⫖↰⪸A59∲⫓⫖↰⪸2A71))≎⊠⪸(⋗⩬⋾(⫖↰⪸1125⨪↰⇹⫖↰⪸2912⊭∹↮))","cot":[{"info":"⫖↰⪸27B3*⫖↰⪸535B=⫖↰⪸120B9869","layer":3},{"info":"∂⫖↰⪸120B9869=NaN","layer":2},{"info":"⫖↰⪸1891⋷⫖↰⪸3750=⫖↰⪸560B","layer":3},{"info":"⫖↰⪸A59∲⫓⫖↰⪸2A71=⫖↰⪸0","layer":3},{"info":"⫖↰⪸560B⇷⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN⪛⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸1125⨪↰⇹⫖↰⪸2912=⫖↰⪸1125","layer":3},{"info":"⫖↰⪸1125⊭∹↮=⫖↰⪸224A","layer":2},{"info":"⋗⩬⋾⫖↰⪸224A=⫖↰⪸-6726","layer":1},{"info":"NaN≎⊠⪸⫖↰⪸-6726=⫖↰⪸57","layer":0}]}
{"id":432,"expression_no_base_symbol":"∥⊫($2543$≭$3317$⋥≓≎$2780$⨰$1036$⫡⨏($4630$⋝⋈⪟$4375$)∀⇚≩$4801$∀⇚≩$1131$)","expression":"∥⊫(⫖↰⪸157B≭⫖↰⪸1B05⋥≓≎⫖↰⪸1738⨰⫖↰⪸724⫡⨏(⫖↰⪸281A⋝⋈⪟⫖↰⪸2647)∀⇚≩⫖↰⪸2941∀⇚≩⫖↰⪸7A3)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":66039,"operation_count":8,"complexity_ratio":8254.875,"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":2543,"base":12},"right_expr":{"type":"numeric_atoms","value":3317,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2780,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4630,"base":12},"right_expr":{"type":"numeric_atoms","value":4375,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4801,"base":12},"right_expr":{"type":"numeric_atoms","value":1131,"base":12}}}}},"used_operators":["P8v4zCKN1o","QMFrweE19q","Qy55tPpLXF","rxpJgHHUmx","eewbuw0ToL","LRNGc0VcxI","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2543","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=2543, right_input=3317, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2780","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1036, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1754","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1754, 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=4630","layer":4},{"info":"number node, value=4375","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=4375, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4630","layer":3},{"info":"number node, value=4801","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=1131, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4630, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫(⫖↰⪸157B≭⫖↰⪸1B05⋥≓≎⫖↰⪸1738⨰⫖↰⪸724⫡⨏(⫖↰⪸281A⋝⋈⪟⫖↰⪸2647)∀⇚≩⫖↰⪸2941∀⇚≩⫖↰⪸7A3)=NaN","reverse_text":"NaN=∥⊫(⫖↰⪸157B≭⫖↰⪸1B05⋥≓≎⫖↰⪸1738⨰⫖↰⪸724⫡⨏(⫖↰⪸281A⋝⋈⪟⫖↰⪸2647)∀⇚≩⫖↰⪸2941∀⇚≩⫖↰⪸7A3)","cot":[{"info":"⫖↰⪸157B≭⫖↰⪸1B05=NaN","layer":3},{"info":"⫖↰⪸1738⨰⫖↰⪸724=⫖↰⪸1022","layer":3},{"info":"NaN⋥≓≎⫖↰⪸1022=⫖↰⪸57","layer":2},{"info":"⫖↰⪸281A⋝⋈⪟⫖↰⪸2647=⫖↰⪸281A","layer":3},{"info":"⫖↰⪸2941∀⇚≩⫖↰⪸7A3=NaN","layer":3},{"info":"⫖↰⪸281A∀⇚≩NaN=NaN","layer":2},{"info":"⫖↰⪸57⫡⨏NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"($3380$⨽$1005$⨵⪆$1631$⪮%⊝$5265$)⪮%⊝($5091$⫥∨⫟$1117$⨸⪁$2281$⪮%⊝$1748$)∑⇟⊟(($1076$⨟⋌⩍$2165$⊦⊿)⫡⨏($5473$⨵⪆$4739$)⨪↰⇹($1483$⋫))","expression":"(⫖↰⪸1B58⨽⫖↰⪸6B9⨵⪆⫖↰⪸B3B⪮%⊝⫖↰⪸3069)⪮%⊝(⫖↰⪸2B43⫥∨⫟⫖↰⪸791⨸⪁⫖↰⪸13A1⪮%⊝⫖↰⪸1018)∑⇟⊟((⫖↰⪸758⨟⋌⩍⫖↰⪸1305⊦⊿)⫡⨏(⫖↰⪸3201⨵⪆⫖↰⪸28AB)⨪↰⇹(⫖↰⪸A37⋫))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5233,"operation_count":14,"complexity_ratio":373.7857142857143,"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":3380,"base":12},"right_expr":{"type":"numeric_atoms","value":1005,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1631,"base":12},"right_expr":{"type":"numeric_atoms","value":5265,"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":1117,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2281,"base":12},"right_expr":{"type":"numeric_atoms","value":1748,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1076,"base":12},"right_expr":{"type":"numeric_atoms","value":2165,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5473,"base":12},"right_expr":{"type":"numeric_atoms","value":4739,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1483,"base":12}}}}},"used_operators":["U7g4x0WXJJ","IWmyXbctLI","2DQ55sFlQl","8HhzD0ZcuI","g55IO6H4Gj","KYD54nUTWz","QMFrweE19q","14qkJME0vr","rGHVDoGpnC","tmPS8pqC7x","JL8yIekQnl"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3380","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=1005, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34274901","layer":3},{"info":"number node, value=1631","layer":4},{"info":"number node, value=5265","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=5265, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3578","layer":3},{"info":"compute binary expreesion, left_input=-34274901, right_input=3578, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5091","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=1117, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2281","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=1748, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4878","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4878, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2165, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=5473","layer":4},{"info":"number node, value=4739","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=4739, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1483","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1483, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=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":"(⫖↰⪸1B58⨽⫖↰⪸6B9⨵⪆⫖↰⪸B3B⪮%⊝⫖↰⪸3069)⪮%⊝(⫖↰⪸2B43⫥∨⫟⫖↰⪸791⨸⪁⫖↰⪸13A1⪮%⊝⫖↰⪸1018)∑⇟⊟((⫖↰⪸758⨟⋌⩍⫖↰⪸1305⊦⊿)⫡⨏(⫖↰⪸3201⨵⪆⫖↰⪸28AB)⨪↰⇹(⫖↰⪸A37⋫))=NaN","reverse_text":"NaN=(⫖↰⪸1B58⨽⫖↰⪸6B9⨵⪆⫖↰⪸B3B⪮%⊝⫖↰⪸3069)⪮%⊝(⫖↰⪸2B43⫥∨⫟⫖↰⪸791⨸⪁⫖↰⪸13A1⪮%⊝⫖↰⪸1018)∑⇟⊟((⫖↰⪸758⨟⋌⩍⫖↰⪸1305⊦⊿)⫡⨏(⫖↰⪸3201⨵⪆⫖↰⪸28AB)⨪↰⇹(⫖↰⪸A37⋫))","cot":[{"info":"⫖↰⪸1B58⨽⫖↰⪸6B9=⫖↰⪸-B58B019","layer":3},{"info":"⫖↰⪸B3B⪮%⊝⫖↰⪸3069=⫖↰⪸20A2","layer":3},{"info":"⫖↰⪸-B58B019⨵⪆⫖↰⪸20A2=⫖↰⪸114","layer":2},{"info":"⫖↰⪸2B43⫥∨⫟⫖↰⪸791=NaN","layer":3},{"info":"⫖↰⪸13A1⪮%⊝⫖↰⪸1018=⫖↰⪸29A6","layer":3},{"info":"NaN⨸⪁⫖↰⪸29A6=NaN","layer":2},{"info":"⫖↰⪸114⪮%⊝NaN=NaN","layer":1},{"info":"⫖↰⪸758⨟⋌⩍⫖↰⪸1305=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⫖↰⪸3201⨵⪆⫖↰⪸28AB=⫖↰⪸114","layer":3},{"info":"⫖↰⪸A37⋫=⫖↰⪸A37","layer":3},{"info":"⫖↰⪸114⨪↰⇹⫖↰⪸A37=⫖↰⪸114","layer":2},{"info":"NaN⫡⨏⫖↰⪸114=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"⨈⫕($6810$⇼⇔∾$4479$⪒$3362$⩷∴$4595$)⊴(⇁⨣⪵$4851$⪢$3225$)","expression":"⨈⫕(⫖↰⪸3B36⇼⇔∾⫖↰⪸2713⪒⫖↰⪸1B42⩷∴⫖↰⪸27AB)⊴(⇁⨣⪵⫖↰⪸2983⪢⫖↰⪸1A49)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4944,"operation_count":7,"complexity_ratio":706.2857142857143,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6810,"base":12},"right_expr":{"type":"numeric_atoms","value":4479,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3362,"base":12},"right_expr":{"type":"numeric_atoms","value":4595,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4851,"base":12},"right_expr":{"type":"numeric_atoms","value":3225,"base":12}}}}},"used_operators":["megm06wKyl","Nsiff2A1zJ","f6k1SAg4EE","tifHPKVTfV","9FxExcQeMw","inkyxCbjAn","dWAJyo7jo9"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","k8jYdgA6NY"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6810","layer":4},{"info":"number node, value=4479","layer":4},{"info":"compute binary expreesion, left_input=6810, right_input=4479, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2331","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=4595","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=4595, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2498","layer":3},{"info":"compute binary expreesion, left_input=-2331, right_input=-2498, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4829","layer":2},{"info":"number node, value=4851","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=4851, right_input=3225, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4829, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⨈⫕(⫖↰⪸3B36⇼⇔∾⫖↰⪸2713⪒⫖↰⪸1B42⩷∴⫖↰⪸27AB)⊴(⇁⨣⪵⫖↰⪸2983⪢⫖↰⪸1A49)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⫖↰⪸3B36⇼⇔∾⫖↰⪸2713⪒⫖↰⪸1B42⩷∴⫖↰⪸27AB)⊴(⇁⨣⪵⫖↰⪸2983⪢⫖↰⪸1A49)","cot":[{"info":"⫖↰⪸3B36⇼⇔∾⫖↰⪸2713=⫖↰⪸-1423","layer":3},{"info":"⫖↰⪸1B42⩷∴⫖↰⪸27AB=⫖↰⪸-1542","layer":3},{"info":"⫖↰⪸-1423⪒⫖↰⪸-1542=⫖↰⪸2965","layer":2},{"info":"⫖↰⪸2983⪢⫖↰⪸1A49=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⫖↰⪸2965⊴NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":435,"expression_no_base_symbol":"(∂(↽≂$8253$)⇷$2568$⪛$1064$)⪘⫢((≉$6252$)⨪↰⇹($2243$⪨≂$2541$)⪄(⊙↵-$4618$)⨽($6421$⪠⩆⊳))","expression":"(∂(↽≂⫖↰⪸4939)⇷⫖↰⪸15A0⪛⫖↰⪸748)⪘⫢((≉⫖↰⪸3750)⨪↰⇹(⫖↰⪸136B⪨≂⫖↰⪸1579)⪄(⊙↵-⫖↰⪸280A)⨽(⫖↰⪸3871⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":242673,"operation_count":12,"complexity_ratio":20222.75,"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":8253,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2568,"base":12},"right_expr":{"type":"numeric_atoms","value":1064,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6252,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2243,"base":12},"right_expr":{"type":"numeric_atoms","value":2541,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4618,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6421,"base":12}}}}},"used_operators":["oacrs7FA3X","Uaa54Peajs","mp7IySMOzn","u6S6b8DprG","uFcxV4UQCh","SUmda5xLS4","tmPS8pqC7x","e1ybzncUwg","sdazOOVcIp","8HhzD0ZcuI","oWn0xqSxBt","JLbD19bQDL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8253","layer":4},{"info":"compute unary expreesion, input=8253, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16506","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=1064, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=440","layer":3},{"info":"compute binary expreesion, left_input=-16506, right_input=440, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=880","layer":2},{"info":"compute unary expreesion, input=880, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=6252","layer":4},{"info":"compute unary expreesion, input=6252, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6783","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=2541, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-494","layer":3},{"info":"compute binary expreesion, left_input=6783, right_input=-494, 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=6783","layer":2},{"info":"number node, value=4618","layer":4},{"info":"compute unary expreesion, input=4618, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6421","layer":4},{"info":"compute unary expreesion, input=6421, 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=-1, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1311","layer":2},{"info":"compute binary expreesion, left_input=6783, right_input=1311, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1005217","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1005217, 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":"(∂(↽≂⫖↰⪸4939)⇷⫖↰⪸15A0⪛⫖↰⪸748)⪘⫢((≉⫖↰⪸3750)⨪↰⇹(⫖↰⪸136B⪨≂⫖↰⪸1579)⪄(⊙↵-⫖↰⪸280A)⨽(⫖↰⪸3871⪠⩆⊳))=NaN","reverse_text":"NaN=(∂(↽≂⫖↰⪸4939)⇷⫖↰⪸15A0⪛⫖↰⪸748)⪘⫢((≉⫖↰⪸3750)⨪↰⇹(⫖↰⪸136B⪨≂⫖↰⪸1579)⪄(⊙↵-⫖↰⪸280A)⨽(⫖↰⪸3871⪠⩆⊳))","cot":[{"info":"↽≂⫖↰⪸4939=⫖↰⪸-9676","layer":3},{"info":"⫖↰⪸15A0⪛⫖↰⪸748=⫖↰⪸308","layer":3},{"info":"⫖↰⪸-9676⇷⫖↰⪸308=⫖↰⪸614","layer":2},{"info":"∂⫖↰⪸614=NaN","layer":1},{"info":"≉⫖↰⪸3750=⫖↰⪸3B13","layer":3},{"info":"⫖↰⪸136B⪨≂⫖↰⪸1579=⫖↰⪸-352","layer":3},{"info":"⫖↰⪸3B13⨪↰⇹⫖↰⪸-352=⫖↰⪸3B13","layer":2},{"info":"⊙↵-⫖↰⪸280A=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸3871⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1⨽⫖↰⪸0=⫖↰⪸913","layer":2},{"info":"⫖↰⪸3B13⪄⫖↰⪸913=⫖↰⪸-405881","layer":1},{"info":"NaN⪘⫢⫖↰⪸-405881=NaN","layer":0}]}
{"id":436,"expression_no_base_symbol":"($1791$+⇶⊼$1200$⋷(⨞⊢$3081$)⨵⪆$1010$*$4101$⊭↱($1363$⪨≂$3908$))≧⫂∧((↩$1097$)↛⩡⫤)↬(+⊝⨔($1799$↺$2093$))","expression":"(⫖↰⪸1053+⇶⊼⫖↰⪸840⋷(⨞⊢⫖↰⪸1949)⨵⪆⫖↰⪸702*⫖↰⪸2459⊭↱(⫖↰⪸957⪨≂⫖↰⪸2318))≧⫂∧((↩⫖↰⪸775)↛⩡⫤)↬(+⊝⨔(⫖↰⪸105B↺⫖↰⪸1265))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19188,"operation_count":13,"complexity_ratio":1476.0,"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":1791,"base":12},"right_expr":{"type":"numeric_atoms","value":1200,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3081,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1010,"base":12},"right_expr":{"type":"numeric_atoms","value":4101,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1363,"base":12},"right_expr":{"type":"numeric_atoms","value":3908,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1097,"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":2093,"base":12}}}}},"used_operators":["Ph9nP6C5qx","2DQ55sFlQl","23Mk6UjR3U","TpPTUOHfaN","xUOZtlo3hN","COABgblf1C","9HNa5Wba9A","sdazOOVcIp","B5M0gjZbta","FU0Cs4j7VP","jLgFTUHLKL","DhbWaqg5eL","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1200, 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=3081","layer":4},{"info":"compute unary expreesion, input=3081, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3255","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3255, 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=1010","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=4101, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4142010","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=3908","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3908, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4988","layer":3},{"info":"compute binary expreesion, left_input=4142010, right_input=-4988, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8293991","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8293991, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5996","layer":3},{"info":"compute unary expreesion, input=-5996, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1962","layer":2},{"info":"number node, value=1799","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=2093, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2093","layer":3},{"info":"compute unary expreesion, input=2093, 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=1962, right_input=1522, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1053+⇶⊼⫖↰⪸840⋷(⨞⊢⫖↰⪸1949)⨵⪆⫖↰⪸702*⫖↰⪸2459⊭↱(⫖↰⪸957⪨≂⫖↰⪸2318))≧⫂∧((↩⫖↰⪸775)↛⩡⫤)↬(+⊝⨔(⫖↰⪸105B↺⫖↰⪸1265))=NaN","reverse_text":"NaN=(⫖↰⪸1053+⇶⊼⫖↰⪸840⋷(⨞⊢⫖↰⪸1949)⨵⪆⫖↰⪸702*⫖↰⪸2459⊭↱(⫖↰⪸957⪨≂⫖↰⪸2318))≧⫂∧((↩⫖↰⪸775)↛⩡⫤)↬(+⊝⨔(⫖↰⪸105B↺⫖↰⪸1265))","cot":[{"info":"⫖↰⪸1053+⇶⊼⫖↰⪸840=NaN","layer":3},{"info":"⨞⊢⫖↰⪸1949=⫖↰⪸-1A73","layer":3},{"info":"NaN⋷⫖↰⪸-1A73=NaN","layer":2},{"info":"⫖↰⪸702*⫖↰⪸2459=⫖↰⪸1478BB6","layer":3},{"info":"⫖↰⪸957⪨≂⫖↰⪸2318=⫖↰⪸-2A78","layer":3},{"info":"⫖↰⪸1478BB6⊭↱⫖↰⪸-2A78=⫖↰⪸-293B91B","layer":2},{"info":"NaN⨵⪆⫖↰⪸-293B91B=⫖↰⪸114","layer":1},{"info":"↩⫖↰⪸775=⫖↰⪸-3578","layer":3},{"info":"⫖↰⪸-3578↛⩡⫤=⫖↰⪸1176","layer":2},{"info":"⫖↰⪸105B↺⫖↰⪸1265=⫖↰⪸1265","layer":3},{"info":"+⊝⨔⫖↰⪸1265=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸1176↬⫖↰⪸A6A=NaN","layer":1},{"info":"⫖↰⪸114≧⫂∧NaN=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"(↯⪼$5854$)⊴(⫛⫱⨽$5800$)∑⇟⊟($2047$%$6795$)⨪↰⇹($1010$↺$2012$)⋳⪒(↣≠⋷(($4450$⊭↱$6487$)≧⫂∧($2325$⋓$1754$)))","expression":"(↯⪼⫖↰⪸347A)⊴(⫛⫱⨽⫖↰⪸3434)∑⇟⊟(⫖↰⪸1227%⫖↰⪸3B23)⨪↰⇹(⫖↰⪸702↺⫖↰⪸11B8)⋳⪒(↣≠⋷((⫖↰⪸26AA⊭↱⫖↰⪸3907)≧⫂∧(⫖↰⪸1419⋓⫖↰⪸1022)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":227269,"operation_count":12,"complexity_ratio":18939.083333333332,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5854,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5800,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2047,"base":12},"right_expr":{"type":"numeric_atoms","value":6795,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1010,"base":12},"right_expr":{"type":"numeric_atoms","value":2012,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4450,"base":12},"right_expr":{"type":"numeric_atoms","value":6487,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2325,"base":12},"right_expr":{"type":"numeric_atoms","value":1754,"base":12}}}}},"used_operators":["12rbrZMWeM","U7g4x0WXJJ","Nsiff2A1zJ","8jW3W4yZS5","DlLNRPXxWL","tmPS8pqC7x","k8jYdgA6NY","7j4O788W3g","Asc51vEJeQ","Ph9nP6C5qx","COABgblf1C","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5854","layer":4},{"info":"compute unary expreesion, input=5854, 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=5800","layer":4},{"info":"compute unary expreesion, input=5800, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2047","layer":4},{"info":"number node, value=6795","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=6795, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2047","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2012, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2012","layer":3},{"info":"compute binary expreesion, left_input=2047, right_input=2012, 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=2047","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=2047, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4450","layer":4},{"info":"number node, value=6487","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=6487, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4079","layer":3},{"info":"number node, value=2325","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=1754, 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=4079, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↯⪼⫖↰⪸347A)⊴(⫛⫱⨽⫖↰⪸3434)∑⇟⊟(⫖↰⪸1227%⫖↰⪸3B23)⨪↰⇹(⫖↰⪸702↺⫖↰⪸11B8)⋳⪒(↣≠⋷((⫖↰⪸26AA⊭↱⫖↰⪸3907)≧⫂∧(⫖↰⪸1419⋓⫖↰⪸1022)))=NaN","reverse_text":"NaN=(↯⪼⫖↰⪸347A)⊴(⫛⫱⨽⫖↰⪸3434)∑⇟⊟(⫖↰⪸1227%⫖↰⪸3B23)⨪↰⇹(⫖↰⪸702↺⫖↰⪸11B8)⋳⪒(↣≠⋷((⫖↰⪸26AA⊭↱⫖↰⪸3907)≧⫂∧(⫖↰⪸1419⋓⫖↰⪸1022)))","cot":[{"info":"↯⪼⫖↰⪸347A=⫖↰⪸-19","layer":3},{"info":"⫛⫱⨽⫖↰⪸3434=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-19⊴⫖↰⪸0=⫖↰⪸-67","layer":2},{"info":"⫖↰⪸1227%⫖↰⪸3B23=⫖↰⪸1227","layer":3},{"info":"⫖↰⪸702↺⫖↰⪸11B8=⫖↰⪸11B8","layer":3},{"info":"⫖↰⪸1227⨪↰⇹⫖↰⪸11B8=⫖↰⪸1227","layer":2},{"info":"⫖↰⪸-67∑⇟⊟⫖↰⪸1227=NaN","layer":1},{"info":"⫖↰⪸26AA⊭↱⫖↰⪸3907=⫖↰⪸243B","layer":3},{"info":"⫖↰⪸1419⋓⫖↰⪸1022=⫖↰⪸0","layer":3},{"info":"⫖↰⪸243B≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"↣≠⋷⫖↰⪸-335=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"((⇁⨣⪵($4030$⨸⪁$2418$))⪒$3666$↬$1962$⋝⋈⪟($6559$⇼⇔∾$2234$))⨟⋌⩍(⊙↵-(⨰⫟⨤($1026$⊪)))","expression":"((⇁⨣⪵(⫖↰⪸23BA⨸⪁⫖↰⪸1496))⪒⫖↰⪸2156↬⫖↰⪸1176⋝⋈⪟(⫖↰⪸3967⇼⇔∾⫖↰⪸1362))⨟⋌⩍(⊙↵-(⨰⫟⨤(⫖↰⪸716⊪)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":991,"operation_count":10,"complexity_ratio":99.1,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4030,"base":12},"right_expr":{"type":"numeric_atoms","value":2418,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3666,"base":12},"right_expr":{"type":"numeric_atoms","value":1962,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6559,"base":12},"right_expr":{"type":"numeric_atoms","value":2234,"base":12}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1026,"base":12}}}}},"used_operators":["rGHVDoGpnC","f6k1SAg4EE","inkyxCbjAn","g55IO6H4Gj","2DDjHMKMc0","B5M0gjZbta","tifHPKVTfV","oWn0xqSxBt","Tw270M8GLb","zVYPLywUTj"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4030","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=2418, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12896","layer":3},{"info":"compute unary expreesion, input=12896, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3666","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=3666, right_input=1962, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6559","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=6559, right_input=2234, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4325","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4325, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute unary expreesion, input=4492662, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, 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":"((⇁⨣⪵(⫖↰⪸23BA⨸⪁⫖↰⪸1496))⪒⫖↰⪸2156↬⫖↰⪸1176⋝⋈⪟(⫖↰⪸3967⇼⇔∾⫖↰⪸1362))⨟⋌⩍(⊙↵-(⨰⫟⨤(⫖↰⪸716⊪)))=NaN","reverse_text":"NaN=((⇁⨣⪵(⫖↰⪸23BA⨸⪁⫖↰⪸1496))⪒⫖↰⪸2156↬⫖↰⪸1176⋝⋈⪟(⫖↰⪸3967⇼⇔∾⫖↰⪸1362))⨟⋌⩍(⊙↵-(⨰⫟⨤(⫖↰⪸716⊪)))","cot":[{"info":"⫖↰⪸23BA⨸⪁⫖↰⪸1496=⫖↰⪸7568","layer":3},{"info":"⇁⨣⪵⫖↰⪸7568=NaN","layer":2},{"info":"⫖↰⪸2156↬⫖↰⪸1176=NaN","layer":3},{"info":"⫖↰⪸3967⇼⇔∾⫖↰⪸1362=⫖↰⪸-2605","layer":3},{"info":"NaN⋝⋈⪟⫖↰⪸-2605=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⫖↰⪸716⊪=⫖↰⪸0","layer":3},{"info":"⨰⫟⨤⫖↰⪸0=⫖↰⪸1607B06","layer":2},{"info":"⊙↵-⫖↰⪸1607B06=⫖↰⪸-1","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸-1=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"((≉$3775$)⊭↱$1586$↙$3036$-$4325$≭$7547$*($6881$+$3674$))⊴((⨰⫟⨤(⊙↵-$1113$))-(↩$4855$∀⇚≩$4154$))","expression":"((≉⫖↰⪸2227)⊭↱⫖↰⪸B02↙⫖↰⪸1910-⫖↰⪸2605≭⫖↰⪸444B*(⫖↰⪸3B95+⫖↰⪸2162))⊴((⨰⫟⨤(⊙↵-⫖↰⪸789))-(↩⫖↰⪸2987∀⇚≩⫖↰⪸24A2))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39130,"operation_count":13,"complexity_ratio":3010.0,"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":3775,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1586,"base":12},"right_expr":{"type":"numeric_atoms","value":3036,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4325,"base":12},"right_expr":{"type":"numeric_atoms","value":7547,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6881,"base":12},"right_expr":{"type":"numeric_atoms","value":3674,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1113,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4855,"base":12},"right_expr":{"type":"numeric_atoms","value":4154,"base":12}}}}},"used_operators":["Nsiff2A1zJ","rysDP5nf3Z","COABgblf1C","e1ybzncUwg","yyfyN0ffXY","9HNa5Wba9A","rxpJgHHUmx","W4YGzv6Whe","Tw270M8GLb","oWn0xqSxBt","jLgFTUHLKL","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3775","layer":4},{"info":"compute unary expreesion, input=3775, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4306","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=3036, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9108","layer":3},{"info":"compute binary expreesion, left_input=4306, right_input=-9108, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-26823","layer":2},{"info":"number node, value=4325","layer":4},{"info":"number node, value=7547","layer":4},{"info":"compute binary expreesion, left_input=4325, right_input=7547, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6881","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=6881, right_input=3674, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10555","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10555, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-26823, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4513476","layer":2},{"info":"number node, value=4855","layer":4},{"info":"number node, value=4154","layer":4},{"info":"compute binary expreesion, left_input=4855, right_input=4154, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4513476, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸2227)⊭↱⫖↰⪸B02↙⫖↰⪸1910-⫖↰⪸2605≭⫖↰⪸444B*(⫖↰⪸3B95+⫖↰⪸2162))⊴((⨰⫟⨤(⊙↵-⫖↰⪸789))-(↩⫖↰⪸2987∀⇚≩⫖↰⪸24A2))=NaN","reverse_text":"NaN=((≉⫖↰⪸2227)⊭↱⫖↰⪸B02↙⫖↰⪸1910-⫖↰⪸2605≭⫖↰⪸444B*(⫖↰⪸3B95+⫖↰⪸2162))⊴((⨰⫟⨤(⊙↵-⫖↰⪸789))-(↩⫖↰⪸2987∀⇚≩⫖↰⪸24A2))","cot":[{"info":"≉⫖↰⪸2227=⫖↰⪸25AA","layer":3},{"info":"⫖↰⪸B02↙⫖↰⪸1910=⫖↰⪸-5330","layer":3},{"info":"⫖↰⪸25AA⊭↱⫖↰⪸-5330=⫖↰⪸-13633","layer":2},{"info":"⫖↰⪸2605≭⫖↰⪸444B=NaN","layer":3},{"info":"⫖↰⪸3B95+⫖↰⪸2162=⫖↰⪸6137","layer":3},{"info":"NaN*⫖↰⪸6137=NaN","layer":2},{"info":"⫖↰⪸-13633-NaN=NaN","layer":1},{"info":"⊙↵-⫖↰⪸789=⫖↰⪸-1","layer":3},{"info":"⨰⫟⨤⫖↰⪸-1=⫖↰⪸1617B70","layer":2},{"info":"⫖↰⪸2987∀⇚≩⫖↰⪸24A2=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⫖↰⪸1617B70-NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"(($4290$∑⇟⊟$1027$≋⫹)⇼⇔∾((⋗⩬⋾$1298$)⪒(⨈⫕$1166$)))⪘⫢($5805$/$5970$⪨≂($9099$⊪))⪮%⊝(⨵≀≌($1821$*$4360$))","expression":"((⫖↰⪸2596∑⇟⊟⫖↰⪸717≋⫹)⇼⇔∾((⋗⩬⋾⫖↰⪸902)⪒(⨈⫕⫖↰⪸812)))⪘⫢(⫖↰⪸3439/⫖↰⪸3556⪨≂(⫖↰⪸5323⊪))⪮%⊝(⨵≀≌(⫖↰⪸1079*⫖↰⪸2634))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2279,"operation_count":13,"complexity_ratio":175.30769230769232,"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":4290,"base":12},"right_expr":{"type":"numeric_atoms","value":1027,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1298,"base":12}},"right_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":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5805,"base":12},"right_expr":{"type":"numeric_atoms","value":5970,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":9099,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1821,"base":12},"right_expr":{"type":"numeric_atoms","value":4360,"base":12}}}}},"used_operators":["oacrs7FA3X","tifHPKVTfV","N41Kp7NANJ","U7g4x0WXJJ","f6k1SAg4EE","DpFCA1CohY","megm06wKyl","IWmyXbctLI","sdazOOVcIp","XhwjNDsVaA","zVYPLywUTj","srAu1WTS94","9HNa5Wba9A"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4290","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=1027, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3894","layer":3},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, 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=-3894, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3915","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3915, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5805","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=5805, right_input=5970, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=9099","layer":4},{"info":"compute unary expreesion, input=9099, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=102","layer":2},{"info":"number node, value=1821","layer":4},{"info":"number node, value=4360","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=4360, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7939560","layer":3},{"info":"compute unary expreesion, input=7939560, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-23818680","layer":2},{"info":"compute binary expreesion, left_input=102, right_input=-23818680, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=520","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=520, 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":"((⫖↰⪸2596∑⇟⊟⫖↰⪸717≋⫹)⇼⇔∾((⋗⩬⋾⫖↰⪸902)⪒(⨈⫕⫖↰⪸812)))⪘⫢(⫖↰⪸3439/⫖↰⪸3556⪨≂(⫖↰⪸5323⊪))⪮%⊝(⨵≀≌(⫖↰⪸1079*⫖↰⪸2634))=NaN","reverse_text":"NaN=((⫖↰⪸2596∑⇟⊟⫖↰⪸717≋⫹)⇼⇔∾((⋗⩬⋾⫖↰⪸902)⪒(⨈⫕⫖↰⪸812)))⪘⫢(⫖↰⪸3439/⫖↰⪸3556⪨≂(⫖↰⪸5323⊪))⪮%⊝(⨵≀≌(⫖↰⪸1079*⫖↰⪸2634))","cot":[{"info":"⫖↰⪸2596∑⇟⊟⫖↰⪸717=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⋗⩬⋾⫖↰⪸902=⫖↰⪸-2306","layer":3},{"info":"⨈⫕⫖↰⪸812=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-2306⪒⫖↰⪸-19=⫖↰⪸2323","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸2323=NaN","layer":1},{"info":"⫖↰⪸3439/⫖↰⪸3556=⫖↰⪸0","layer":3},{"info":"⫖↰⪸5323⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⪨≂⫖↰⪸0=⫖↰⪸86","layer":2},{"info":"⫖↰⪸1079*⫖↰⪸2634=⫖↰⪸27AA7A0","layer":3},{"info":"⨵≀≌⫖↰⪸27AA7A0=⫖↰⪸-7B87B60","layer":2},{"info":"⫖↰⪸86⪮%⊝⫖↰⪸-7B87B60=⫖↰⪸374","layer":1},{"info":"NaN⪘⫢⫖↰⪸374=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"($2130$⨎$4364$)⪘⫢($8378$⋷$3777$)≭($6015$⨐⩸⫘$1180$⊭↱(⪲⇎$5595$))⨵⪆$1977$⪮%⊝$3821$⨸⪁($2808$⇼⇔∾$1228$)⩨(↯⪼$2277$)⊴($8623$⋥≓≎$1500$)","expression":"(⫖↰⪸1296⨎⫖↰⪸2638)⪘⫢(⫖↰⪸4A22⋷⫖↰⪸2229)≭(⫖↰⪸3593⨐⩸⫘⫖↰⪸824⊭↱(⪲⇎⫖↰⪸32A3))⨵⪆⫖↰⪸1189⪮%⊝⫖↰⪸2265⨸⪁(⫖↰⪸1760⇼⇔∾⫖↰⪸864)⩨(↯⪼⫖↰⪸1399)⊴(⫖↰⪸4BA7⋥≓≎⫖↰⪸A50)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5673,"operation_count":15,"complexity_ratio":378.2,"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":2130,"base":12},"right_expr":{"type":"numeric_atoms","value":4364,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8378,"base":12},"right_expr":{"type":"numeric_atoms","value":3777,"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":1180,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5595,"base":12}}}},"right_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":3821,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2808,"base":12},"right_expr":{"type":"numeric_atoms","value":1228,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2277,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8623,"base":12},"right_expr":{"type":"numeric_atoms","value":1500,"base":12}}}}},"used_operators":["2DQ55sFlQl","rxpJgHHUmx","oacrs7FA3X","rJVOvQCfKK","23Mk6UjR3U","COABgblf1C","fu6greOZ01","XPYlsWDdGa","2DlMacCsIx","g55IO6H4Gj","IWmyXbctLI","tifHPKVTfV","Nsiff2A1zJ","8jW3W4yZS5","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":4},{"info":"number node, value=4364","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=4364, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4364","layer":3},{"info":"number node, value=8378","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=8378, right_input=3777, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-824","layer":3},{"info":"compute binary expreesion, left_input=4364, right_input=-824, 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=6015","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=6015, right_input=1180, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5595","layer":4},{"info":"compute unary expreesion, input=5595, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11190","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11190, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1977","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=3821, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4270","layer":3},{"info":"number node, value=2808","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=2808, right_input=1228, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1580","layer":3},{"info":"compute binary expreesion, left_input=4270, right_input=-1580, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5380","layer":2},{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, 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=8623","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=8623, right_input=1500, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5590","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-5590, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5380, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1296⨎⫖↰⪸2638)⪘⫢(⫖↰⪸4A22⋷⫖↰⪸2229)≭(⫖↰⪸3593⨐⩸⫘⫖↰⪸824⊭↱(⪲⇎⫖↰⪸32A3))⨵⪆⫖↰⪸1189⪮%⊝⫖↰⪸2265⨸⪁(⫖↰⪸1760⇼⇔∾⫖↰⪸864)⩨(↯⪼⫖↰⪸1399)⊴(⫖↰⪸4BA7⋥≓≎⫖↰⪸A50)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1296⨎⫖↰⪸2638)⪘⫢(⫖↰⪸4A22⋷⫖↰⪸2229)≭(⫖↰⪸3593⨐⩸⫘⫖↰⪸824⊭↱(⪲⇎⫖↰⪸32A3))⨵⪆⫖↰⪸1189⪮%⊝⫖↰⪸2265⨸⪁(⫖↰⪸1760⇼⇔∾⫖↰⪸864)⩨(↯⪼⫖↰⪸1399)⊴(⫖↰⪸4BA7⋥≓≎⫖↰⪸A50)","cot":[{"info":"⫖↰⪸1296⨎⫖↰⪸2638=⫖↰⪸2638","layer":3},{"info":"⫖↰⪸4A22⋷⫖↰⪸2229=⫖↰⪸-588","layer":3},{"info":"⫖↰⪸2638⪘⫢⫖↰⪸-588=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3593⨐⩸⫘⫖↰⪸824=NaN","layer":3},{"info":"⪲⇎⫖↰⪸32A3=⫖↰⪸6586","layer":3},{"info":"NaN⊭↱⫖↰⪸6586=NaN","layer":2},{"info":"⫖↰⪸0≭NaN=NaN","layer":1},{"info":"⫖↰⪸1189⪮%⊝⫖↰⪸2265=⫖↰⪸257A","layer":3},{"info":"⫖↰⪸1760⇼⇔∾⫖↰⪸864=⫖↰⪸-AB8","layer":3},{"info":"⫖↰⪸257A⨸⪁⫖↰⪸-AB8=⫖↰⪸3144","layer":2},{"info":"↯⪼⫖↰⪸1399=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸4BA7⋥≓≎⫖↰⪸A50=⫖↰⪸-329A","layer":3},{"info":"⫖↰⪸-19⊴⫖↰⪸-329A=NaN","layer":2},{"info":"⫖↰⪸3144⩨NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":442,"expression_no_base_symbol":"((⪲⇎(⩦⩻⨪$1216$))⨐⩸⫘(⩦⩻⨪(⋗⩬⋾$4853$)))⪘⫢(↔($5376$⊘))⊴(⫓⪴$1816$↬$1599$)","expression":"((⪲⇎(⩦⩻⨪⫖↰⪸854))⨐⩸⫘(⩦⩻⨪(⋗⩬⋾⫖↰⪸2985)))⪘⫢(↔(⫖↰⪸3140⊘))⊴(⫓⪴⫖↰⪸1074↬⫖↰⪸B13)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":59,"operation_count":11,"complexity_ratio":5.363636363636363,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1216,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4853,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5376,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1816,"base":12},"right_expr":{"type":"numeric_atoms","value":1599,"base":12}}}}},"used_operators":["oacrs7FA3X","fu6greOZ01","XPYlsWDdGa","2td37pGCOC","DpFCA1CohY","Nsiff2A1zJ","ruOEQAzv1W","gu96TGCTMs","eLxqMNBOBk","B5M0gjZbta"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1216","layer":3},{"info":"compute unary expreesion, input=1216, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2432","layer":2},{"info":"number node, value=4853","layer":4},{"info":"compute unary expreesion, input=4853, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14559","layer":3},{"info":"compute unary expreesion, input=-14559, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-14559","layer":2},{"info":"compute binary expreesion, left_input=2432, right_input=-14559, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5376","layer":4},{"info":"compute unary expreesion, input=5376, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"number node, value=1816","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1599, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⪲⇎(⩦⩻⨪⫖↰⪸854))⨐⩸⫘(⩦⩻⨪(⋗⩬⋾⫖↰⪸2985)))⪘⫢(↔(⫖↰⪸3140⊘))⊴(⫓⪴⫖↰⪸1074↬⫖↰⪸B13)=NaN","reverse_text":"NaN=((⪲⇎(⩦⩻⨪⫖↰⪸854))⨐⩸⫘(⩦⩻⨪(⋗⩬⋾⫖↰⪸2985)))⪘⫢(↔(⫖↰⪸3140⊘))⊴(⫓⪴⫖↰⪸1074↬⫖↰⪸B13)","cot":[{"info":"⩦⩻⨪⫖↰⪸854=⫖↰⪸854","layer":3},{"info":"⪲⇎⫖↰⪸854=⫖↰⪸14A8","layer":2},{"info":"⋗⩬⋾⫖↰⪸2985=⫖↰⪸-8513","layer":3},{"info":"⩦⩻⨪⫖↰⪸-8513=⫖↰⪸-8513","layer":2},{"info":"⫖↰⪸14A8⨐⩸⫘⫖↰⪸-8513=NaN","layer":1},{"info":"⫖↰⪸3140⊘=⫖↰⪸0","layer":3},{"info":"↔⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"⫖↰⪸1074↬⫖↰⪸B13=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫖↰⪸559⊴NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"⊄⩳↩(⨞⊢(↩$1097$)⨽($1518$↪⪝))","expression":"⊄⩳↩(⨞⊢(↩⫖↰⪸775)⨽(⫖↰⪸A66↪⪝))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6726,"operation_count":5,"complexity_ratio":1345.2,"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":1097,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1518,"base":12}}}}},"used_operators":["8w2t5hMYqp","xUOZtlo3hN","8HhzD0ZcuI","jLgFTUHLKL","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫖↰⪸-28435B830","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5996","layer":3},{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=92874276","layer":3},{"info":"compute binary expreesion, left_input=-5996, right_input=92874276, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-386477562","layer":2},{"info":"compute unary expreesion, input=-386477562, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=386477388","layer":1},{"info":"compute unary expreesion, input=386477388, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-1159432164","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(⨞⊢(↩⫖↰⪸775)⨽(⫖↰⪸A66↪⪝))=⫖↰⪸-28435B830","reverse_text":"⫖↰⪸-28435B830=⊄⩳↩(⨞⊢(↩⫖↰⪸775)⨽(⫖↰⪸A66↪⪝))","cot":[{"info":"↩⫖↰⪸775=⫖↰⪸-3578","layer":3},{"info":"⫖↰⪸A66↪⪝=⫖↰⪸2712A830","layer":3},{"info":"⫖↰⪸-3578⨽⫖↰⪸2712A830=⫖↰⪸-A951BBB6","layer":2},{"info":"⨞⊢⫖↰⪸-A951BBB6=⫖↰⪸A951BA90","layer":1},{"info":"⊄⩳↩⫖↰⪸A951BA90=⫖↰⪸-28435B830","layer":0}]}
{"id":444,"expression_no_base_symbol":"($4050$⨪↰⇹$5682$≭(⨵≀≌$1251$)⩤)-($1197$⪨≂$3622$)⊴($1143$⩨$1138$)⋳⪒((≦∁$3009$)∲⫓$1480$⨳⩥⨓$1807$)","expression":"(⫖↰⪸2416⨪↰⇹⫖↰⪸3356≭(⨵≀≌⫖↰⪸883)⩤)-(⫖↰⪸839⪨≂⫖↰⪸211A)⊴(⫖↰⪸7B3⩨⫖↰⪸7AA)⋳⪒((≦∁⫖↰⪸18A9)∲⫓⫖↰⪸A34⨳⩥⨓⫖↰⪸1067)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4084,"operation_count":12,"complexity_ratio":340.3333333333333,"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":4050,"base":12},"right_expr":{"type":"numeric_atoms","value":5682,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1251,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1197,"base":12},"right_expr":{"type":"numeric_atoms","value":3622,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1143,"base":12},"right_expr":{"type":"numeric_atoms","value":1138,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3009,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1480,"base":12},"right_expr":{"type":"numeric_atoms","value":1807,"base":12}}}}},"used_operators":["rysDP5nf3Z","Z2TMIBDE3Q","rxpJgHHUmx","tmPS8pqC7x","srAu1WTS94","12rbrZMWeM","Nsiff2A1zJ","sdazOOVcIp","2DlMacCsIx","i8ToyICDmI","9ICcGScMcE","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4050","layer":4},{"info":"number node, value=5682","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=5682, 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=4050","layer":3},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3753","layer":3},{"info":"compute binary expreesion, left_input=4050, right_input=-3753, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=1197","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=3622, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4748","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1138, 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=-4748, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3009","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1807, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=327","layer":3},{"info":"compute binary expreesion, left_input=3009, right_input=327, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3009","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=3009, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3454","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3454, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2416⨪↰⇹⫖↰⪸3356≭(⨵≀≌⫖↰⪸883)⩤)-(⫖↰⪸839⪨≂⫖↰⪸211A)⊴(⫖↰⪸7B3⩨⫖↰⪸7AA)⋳⪒((≦∁⫖↰⪸18A9)∲⫓⫖↰⪸A34⨳⩥⨓⫖↰⪸1067)=NaN","reverse_text":"NaN=(⫖↰⪸2416⨪↰⇹⫖↰⪸3356≭(⨵≀≌⫖↰⪸883)⩤)-(⫖↰⪸839⪨≂⫖↰⪸211A)⊴(⫖↰⪸7B3⩨⫖↰⪸7AA)⋳⪒((≦∁⫖↰⪸18A9)∲⫓⫖↰⪸A34⨳⩥⨓⫖↰⪸1067)","cot":[{"info":"⫖↰⪸2416⨪↰⇹⫖↰⪸3356=⫖↰⪸2416","layer":3},{"info":"⨵≀≌⫖↰⪸883=⫖↰⪸-2209","layer":3},{"info":"⫖↰⪸2416≭⫖↰⪸-2209=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⫖↰⪸839⪨≂⫖↰⪸211A=⫖↰⪸-28B8","layer":3},{"info":"⫖↰⪸7B3⩨⫖↰⪸7AA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-28B8⊴⫖↰⪸0=⫖↰⪸-67","layer":2},{"info":"≦∁⫖↰⪸18A9=⫖↰⪸18A9","layer":3},{"info":"⫖↰⪸A34⨳⩥⨓⫖↰⪸1067=⫖↰⪸233","layer":3},{"info":"⫖↰⪸18A9∲⫓⫖↰⪸233=⫖↰⪸18A9","layer":2},{"info":"⫖↰⪸-67⋳⪒⫖↰⪸18A9=⫖↰⪸-1BBA","layer":1},{"info":"NaN-⫖↰⪸-1BBA=NaN","layer":0}]}
{"id":445,"expression_no_base_symbol":"((↯⪼$7431$⪮%⊝$1570$)≧⫂∧$5205$≹⇙⪍$2212$↬($3804$≧⫂∧$2518$))≹⇙⪍($4022$∼$1845$⇼⇔∾(≉$3770$)⊭↱($5708$⫥∨⫟$1078$⪨≂$2639$⪘⫢$1122$))","expression":"((↯⪼⫖↰⪸4373⪮%⊝⫖↰⪸AAA)≧⫂∧⫖↰⪸3019≹⇙⪍⫖↰⪸1344↬(⫖↰⪸2250≧⫂∧⫖↰⪸155A))≹⇙⪍(⫖↰⪸23B2∼⫖↰⪸1099⇼⇔∾(≉⫖↰⪸2222)⊭↱(⫖↰⪸3378⫥∨⫟⫖↰⪸75A⪨≂⫖↰⪸163B⪘⫢⫖↰⪸796))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":309,"operation_count":14,"complexity_ratio":22.071428571428573,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7431,"base":12},"right_expr":{"type":"numeric_atoms","value":1570,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5205,"base":12},"right_expr":{"type":"numeric_atoms","value":2212,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3804,"base":12},"right_expr":{"type":"numeric_atoms","value":2518,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4022,"base":12},"right_expr":{"type":"numeric_atoms","value":1845,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3770,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5708,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2639,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}}}}},"used_operators":["AHs5Up7iyr","Ph9nP6C5qx","8jW3W4yZS5","IWmyXbctLI","B5M0gjZbta","COABgblf1C","tifHPKVTfV","DyGG3AbaNP","e1ybzncUwg","sdazOOVcIp","KYD54nUTWz","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7431","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=7431, right_input=1570, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15178","layer":3},{"info":"compute unary expreesion, input=15178, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=5205","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=5205, right_input=2212, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3804","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=2518, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2045","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2045, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=4022","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=4022, right_input=1845, 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=3770","layer":4},{"info":"compute unary expreesion, input=3770, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4301, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=5708","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=5708, right_input=1078, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2639","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=1122, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5154, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((↯⪼⫖↰⪸4373⪮%⊝⫖↰⪸AAA)≧⫂∧⫖↰⪸3019≹⇙⪍⫖↰⪸1344↬(⫖↰⪸2250≧⫂∧⫖↰⪸155A))≹⇙⪍(⫖↰⪸23B2∼⫖↰⪸1099⇼⇔∾(≉⫖↰⪸2222)⊭↱(⫖↰⪸3378⫥∨⫟⫖↰⪸75A⪨≂⫖↰⪸163B⪘⫢⫖↰⪸796))=NaN","reverse_text":"NaN=((↯⪼⫖↰⪸4373⪮%⊝⫖↰⪸AAA)≧⫂∧⫖↰⪸3019≹⇙⪍⫖↰⪸1344↬(⫖↰⪸2250≧⫂∧⫖↰⪸155A))≹⇙⪍(⫖↰⪸23B2∼⫖↰⪸1099⇼⇔∾(≉⫖↰⪸2222)⊭↱(⫖↰⪸3378⫥∨⫟⫖↰⪸75A⪨≂⫖↰⪸163B⪘⫢⫖↰⪸796))","cot":[{"info":"⫖↰⪸4373⪮%⊝⫖↰⪸AAA=⫖↰⪸894A","layer":3},{"info":"↯⪼⫖↰⪸894A=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸3019≹⇙⪍⫖↰⪸1344=NaN","layer":3},{"info":"⫖↰⪸2250≧⫂∧⫖↰⪸155A=⫖↰⪸1225","layer":3},{"info":"NaN↬⫖↰⪸1225=NaN","layer":2},{"info":"⫖↰⪸-19≧⫂∧NaN=NaN","layer":1},{"info":"⫖↰⪸23B2∼⫖↰⪸1099=NaN","layer":3},{"info":"≉⫖↰⪸2222=⫖↰⪸25A5","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸25A5=NaN","layer":2},{"info":"⫖↰⪸3378⫥∨⫟⫖↰⪸75A=NaN","layer":3},{"info":"⫖↰⪸163B⪘⫢⫖↰⪸796=⫖↰⪸2B96","layer":3},{"info":"NaN⪨≂⫖↰⪸2B96=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":446,"expression_no_base_symbol":"-(≤/$3297$⩷∴$3548$)⋥≓≎($5980$⫥∨⫟$1412$)⨓($1229$≎⊠⪸$1055$)","expression":"-(≤/⫖↰⪸1AA9⩷∴⫖↰⪸2078)⋥≓≎(⫖↰⪸3564⫥∨⫟⫖↰⪸998)⨓(⫖↰⪸865≎⊠⪸⫖↰⪸73B)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":318280,"operation_count":7,"complexity_ratio":45468.57142857143,"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":3297,"base":12},"right_expr":{"type":"numeric_atoms","value":3548,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5980,"base":12},"right_expr":{"type":"numeric_atoms","value":1412,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1229,"base":12},"right_expr":{"type":"numeric_atoms","value":1055,"base":12}}}}},"used_operators":["t8gj7n24qd","Qy55tPpLXF","eLAdDNolq6","9FxExcQeMw","3ViojmjbAp","KYD54nUTWz","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸268537","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3297","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=3548, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-534","layer":3},{"info":"compute unary expreesion, input=-534, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1018","layer":2},{"info":"number node, value=5980","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=1412, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=1055, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=317838","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=317838, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-317841","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=-317841, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-636667","layer":1},{"info":"compute unary expreesion, input=-636667, op_id = t8gj7n24qd, unary_op_definition = 'None', output=636667","layer":0}],"base":12,"result_base":12,"text":"-(≤/⫖↰⪸1AA9⩷∴⫖↰⪸2078)⋥≓≎(⫖↰⪸3564⫥∨⫟⫖↰⪸998)⨓(⫖↰⪸865≎⊠⪸⫖↰⪸73B)=⫖↰⪸268537","reverse_text":"⫖↰⪸268537=-(≤/⫖↰⪸1AA9⩷∴⫖↰⪸2078)⋥≓≎(⫖↰⪸3564⫥∨⫟⫖↰⪸998)⨓(⫖↰⪸865≎⊠⪸⫖↰⪸73B)","cot":[{"info":"⫖↰⪸1AA9⩷∴⫖↰⪸2078=⫖↰⪸-386","layer":3},{"info":"≤/⫖↰⪸-386=⫖↰⪸70A","layer":2},{"info":"⫖↰⪸3564⫥∨⫟⫖↰⪸998=NaN","layer":3},{"info":"⫖↰⪸865≎⊠⪸⫖↰⪸73B=⫖↰⪸133B26","layer":3},{"info":"NaN⨓⫖↰⪸133B26=⫖↰⪸-133B29","layer":2},{"info":"⫖↰⪸70A⋥≓≎⫖↰⪸-133B29=⫖↰⪸-268537","layer":1},{"info":"-⫖↰⪸-268537=⫖↰⪸268537","layer":0}]}
{"id":447,"expression_no_base_symbol":"(($2520$%$1636$)∀⇚≩$1811$⪮%⊝$1056$)⨟⋌⩍(⨵≀≌($2444$+$1272$))⇋≉","expression":"((⫖↰⪸1560%⫖↰⪸B44)∀⇚≩⫖↰⪸106B⪮%⊝⫖↰⪸740)⨟⋌⩍(⨵≀≌(⫖↰⪸14B8+⫖↰⪸8A0))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6206,"operation_count":7,"complexity_ratio":886.5714285714286,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2520,"base":12},"right_expr":{"type":"numeric_atoms","value":1636,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1811,"base":12},"right_expr":{"type":"numeric_atoms","value":1056,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2444,"base":12},"right_expr":{"type":"numeric_atoms","value":1272,"base":12}}}}},"used_operators":["XIabStNQrY","rGHVDoGpnC","LRNGc0VcxI","k8jYdgA6NY","IWmyXbctLI","srAu1WTS94","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","X99M06cbEe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2520","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=1636, op_id = k8jYdgA6NY binary_op_definition= 'None', output=884","layer":3},{"info":"number node, value=1811","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1056, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3938","layer":3},{"info":"compute binary expreesion, left_input=884, right_input=3938, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2444","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=1272, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3716","layer":3},{"info":"compute unary expreesion, input=3716, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11148","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11148, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1560%⫖↰⪸B44)∀⇚≩⫖↰⪸106B⪮%⊝⫖↰⪸740)⨟⋌⩍(⨵≀≌(⫖↰⪸14B8+⫖↰⪸8A0))⇋≉=NaN","reverse_text":"NaN=((⫖↰⪸1560%⫖↰⪸B44)∀⇚≩⫖↰⪸106B⪮%⊝⫖↰⪸740)⨟⋌⩍(⨵≀≌(⫖↰⪸14B8+⫖↰⪸8A0))⇋≉","cot":[{"info":"⫖↰⪸1560%⫖↰⪸B44=⫖↰⪸618","layer":3},{"info":"⫖↰⪸106B⪮%⊝⫖↰⪸740=⫖↰⪸2342","layer":3},{"info":"⫖↰⪸618∀⇚≩⫖↰⪸2342=NaN","layer":2},{"info":"⫖↰⪸14B8+⫖↰⪸8A0=⫖↰⪸2198","layer":3},{"info":"⨵≀≌⫖↰⪸2198=⫖↰⪸-6550","layer":2},{"info":"NaN⨟⋌⩍⫖↰⪸-6550=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"+⊝⨔(↽≂$1679$⨪↰⇹$1793$⫥∨⫟($1123$⊘))","expression":"+⊝⨔(↽≂⫖↰⪸B7B⨪↰⇹⫖↰⪸1055⫥∨⫟(⫖↰⪸797⊘))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1875,"operation_count":5,"complexity_ratio":375.0,"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":1679,"base":12},"right_expr":{"type":"numeric_atoms","value":1793,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1123,"base":12}}}}},"used_operators":["DhbWaqg5eL","u6S6b8DprG","KYD54nUTWz","tmPS8pqC7x","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=1793, 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=1679","layer":3},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1679, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":12,"result_base":12,"text":"+⊝⨔(↽≂⫖↰⪸B7B⨪↰⇹⫖↰⪸1055⫥∨⫟(⫖↰⪸797⊘))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(↽≂⫖↰⪸B7B⨪↰⇹⫖↰⪸1055⫥∨⫟(⫖↰⪸797⊘))","cot":[{"info":"⫖↰⪸B7B⨪↰⇹⫖↰⪸1055=⫖↰⪸B7B","layer":3},{"info":"⫖↰⪸797⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B7B⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":0}]}
{"id":449,"expression_no_base_symbol":"((($7266$-$1692$)⪒(⨈⫕$3283$))≹⇙⪍((∥⊫$1935$)/$5991$⪢$5533$))∧","expression":"(((⫖↰⪸4256-⫖↰⪸B90)⪒(⨈⫕⫖↰⪸1A97))≹⇙⪍((∥⊫⫖↰⪸1153)/⫖↰⪸3573⪢⫖↰⪸3251))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10131,"operation_count":8,"complexity_ratio":1266.375,"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":7266,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3283,"base":12}}},"right_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":5991,"base":12},"right_expr":{"type":"numeric_atoms","value":5533,"base":12}}}}},"used_operators":["z63VuFQld9","AHs5Up7iyr","f6k1SAg4EE","rysDP5nf3Z","megm06wKyl","XhwjNDsVaA","P8v4zCKN1o","dWAJyo7jo9"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7266","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=7266, right_input=1692, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5574","layer":3},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, 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=5574, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5553","layer":2},{"info":"number node, value=1935","layer":4},{"info":"compute unary expreesion, input=1935, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2803","layer":3},{"info":"number node, value=5991","layer":4},{"info":"number node, value=5533","layer":4},{"info":"compute binary expreesion, left_input=5991, right_input=5533, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2803, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5553, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸4256-⫖↰⪸B90)⪒(⨈⫕⫖↰⪸1A97))≹⇙⪍((∥⊫⫖↰⪸1153)/⫖↰⪸3573⪢⫖↰⪸3251))∧=NaN","reverse_text":"NaN=(((⫖↰⪸4256-⫖↰⪸B90)⪒(⨈⫕⫖↰⪸1A97))≹⇙⪍((∥⊫⫖↰⪸1153)/⫖↰⪸3573⪢⫖↰⪸3251))∧","cot":[{"info":"⫖↰⪸4256-⫖↰⪸B90=⫖↰⪸3286","layer":3},{"info":"⨈⫕⫖↰⪸1A97=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸3286⪒⫖↰⪸-19=⫖↰⪸-3269","layer":2},{"info":"∥⊫⫖↰⪸1153=⫖↰⪸1757","layer":3},{"info":"⫖↰⪸3573⪢⫖↰⪸3251=NaN","layer":3},{"info":"⫖↰⪸1757/NaN=NaN","layer":2},{"info":"⫖↰⪸-3269≹⇙⪍NaN=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"(⪲⇎(⨑⩽⪐($1616$⇼⇔∾$2527$)))⋷(+⊝⨔($1678$⨟⋌⩍$1862$))⊉≛↸(⫓⪴(-$2414$))","expression":"(⪲⇎(⨑⩽⪐(⫖↰⪸B28⇼⇔∾⫖↰⪸1567)))⋷(+⊝⨔(⫖↰⪸B7A⨟⋌⩍⫖↰⪸10B2))⊉≛↸(⫓⪴(-⫖↰⪸1492))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2448,"operation_count":9,"complexity_ratio":272.0,"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":1616,"base":12},"right_expr":{"type":"numeric_atoms","value":2527,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1678,"base":12},"right_expr":{"type":"numeric_atoms","value":1862,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2414,"base":12}}}}},"used_operators":["23Mk6UjR3U","XPYlsWDdGa","AF7qkfDlqP","tifHPKVTfV","DZ8iAZOCBD","DhbWaqg5eL","rGHVDoGpnC","eLxqMNBOBk","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Tcnh7f0tEr","9HNa5Wba9A"],"result":"⫖↰⪸1588","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1616","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=2527, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=911","layer":3},{"info":"compute unary expreesion, input=911, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-638","layer":2},{"info":"compute unary expreesion, input=-638, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-1276","layer":1},{"info":"number node, value=1678","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=1862, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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=2414","layer":4},{"info":"compute unary expreesion, input=2414, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2414","layer":3},{"info":"compute unary expreesion, input=-2414, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5827396","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=5827396, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3044","layer":1},{"info":"compute binary expreesion, left_input=-1276, right_input=3044, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2552","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(⨑⩽⪐(⫖↰⪸B28⇼⇔∾⫖↰⪸1567)))⋷(+⊝⨔(⫖↰⪸B7A⨟⋌⩍⫖↰⪸10B2))⊉≛↸(⫓⪴(-⫖↰⪸1492))=⫖↰⪸1588","reverse_text":"⫖↰⪸1588=(⪲⇎(⨑⩽⪐(⫖↰⪸B28⇼⇔∾⫖↰⪸1567)))⋷(+⊝⨔(⫖↰⪸B7A⨟⋌⩍⫖↰⪸10B2))⊉≛↸(⫓⪴(-⫖↰⪸1492))","cot":[{"info":"⫖↰⪸B28⇼⇔∾⫖↰⪸1567=⫖↰⪸63B","layer":3},{"info":"⨑⩽⪐⫖↰⪸63B=⫖↰⪸-452","layer":2},{"info":"⪲⇎⫖↰⪸-452=⫖↰⪸-8A4","layer":1},{"info":"⫖↰⪸B7A⨟⋌⩍⫖↰⪸10B2=NaN","layer":3},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":2},{"info":"-⫖↰⪸1492=⫖↰⪸-1492","layer":3},{"info":"⫓⪴⫖↰⪸-1492=⫖↰⪸1B50404","layer":2},{"info":"⫖↰⪸A6A⊉≛↸⫖↰⪸1B50404=⫖↰⪸1918","layer":1},{"info":"⫖↰⪸-8A4⋷⫖↰⪸1918=⫖↰⪸1588","layer":0}]}
{"id":451,"expression_no_base_symbol":"∥⊫($2253$⪢$6331$⨪↰⇹($2043$⋓$1019$))⪘⫢($2709$⊭↱$3052$)⪛($7471$↪⪝)","expression":"∥⊫(⫖↰⪸1379⪢⫖↰⪸37B7⨪↰⇹(⫖↰⪸1223⋓⫖↰⪸70B))⪘⫢(⫖↰⪸1699⊭↱⫖↰⪸1924)⪛(⫖↰⪸43A7↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7067,"operation_count":8,"complexity_ratio":883.375,"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":2253,"base":12},"right_expr":{"type":"numeric_atoms","value":6331,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2043,"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":2709,"base":12},"right_expr":{"type":"numeric_atoms","value":3052,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7471,"base":12}}}}},"used_operators":["P8v4zCKN1o","oacrs7FA3X","tmPS8pqC7x","dWAJyo7jo9","T2fj7uvVaJ","uFcxV4UQCh","COABgblf1C","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2253","layer":4},{"info":"number node, value=6331","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=6331, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2043","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=1019, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2709","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=2709, right_input=3052, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=691","layer":3},{"info":"number node, value=7471","layer":4},{"info":"compute unary expreesion, input=7471, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=457090722","layer":3},{"info":"compute binary expreesion, left_input=691, right_input=457090722, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=691","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=691, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫(⫖↰⪸1379⪢⫖↰⪸37B7⨪↰⇹(⫖↰⪸1223⋓⫖↰⪸70B))⪘⫢(⫖↰⪸1699⊭↱⫖↰⪸1924)⪛(⫖↰⪸43A7↪⪝)=NaN","reverse_text":"NaN=∥⊫(⫖↰⪸1379⪢⫖↰⪸37B7⨪↰⇹(⫖↰⪸1223⋓⫖↰⪸70B))⪘⫢(⫖↰⪸1699⊭↱⫖↰⪸1924)⪛(⫖↰⪸43A7↪⪝)","cot":[{"info":"⫖↰⪸1379⪢⫖↰⪸37B7=NaN","layer":3},{"info":"⫖↰⪸1223⋓⫖↰⪸70B=⫖↰⪸0","layer":3},{"info":"NaN⨪↰⇹⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1699⊭↱⫖↰⪸1924=⫖↰⪸497","layer":3},{"info":"⫖↰⪸43A7↪⪝=⫖↰⪸1090B4116","layer":3},{"info":"⫖↰⪸497⪛⫖↰⪸1090B4116=⫖↰⪸497","layer":2},{"info":"NaN⪘⫢⫖↰⪸497=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"((↯⪼$4835$)⨐⩸⫘($2485$↙$5022$)⪐)⇷(($5876$⋥≓≎$2056$)↬($1189$⪒$2055$)-(↣≠⋷($5851$-$4491$)))","expression":"((↯⪼⫖↰⪸296B)⨐⩸⫘(⫖↰⪸1531↙⫖↰⪸2AA6)⪐)⇷((⫖↰⪸3498⋥≓≎⫖↰⪸1234)↬(⫖↰⪸831⪒⫖↰⪸1233)-(↣≠⋷(⫖↰⪸3477-⫖↰⪸2723)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5079,"operation_count":11,"complexity_ratio":461.72727272727275,"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":4835,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2485,"base":12},"right_expr":{"type":"numeric_atoms","value":5022,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5876,"base":12},"right_expr":{"type":"numeric_atoms","value":2056,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1189,"base":12},"right_expr":{"type":"numeric_atoms","value":2055,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5851,"base":12},"right_expr":{"type":"numeric_atoms","value":4491,"base":12}}}}},"used_operators":["mp7IySMOzn","eH2TOUuTDT","fu6greOZ01","8jW3W4yZS5","yyfyN0ffXY","rysDP5nf3Z","B5M0gjZbta","Qy55tPpLXF","f6k1SAg4EE","Asc51vEJeQ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4835","layer":4},{"info":"compute unary expreesion, input=4835, 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=2485","layer":4},{"info":"number node, value=5022","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=5022, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15066","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-15066, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=5876","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=5876, right_input=2056, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1731","layer":3},{"info":"number node, value=1189","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=2055, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3244","layer":3},{"info":"compute binary expreesion, left_input=-1731, right_input=-3244, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5851","layer":4},{"info":"number node, value=4491","layer":4},{"info":"compute binary expreesion, left_input=5851, right_input=4491, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1360","layer":3},{"info":"compute unary expreesion, input=1360, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↯⪼⫖↰⪸296B)⨐⩸⫘(⫖↰⪸1531↙⫖↰⪸2AA6)⪐)⇷((⫖↰⪸3498⋥≓≎⫖↰⪸1234)↬(⫖↰⪸831⪒⫖↰⪸1233)-(↣≠⋷(⫖↰⪸3477-⫖↰⪸2723)))=NaN","reverse_text":"NaN=((↯⪼⫖↰⪸296B)⨐⩸⫘(⫖↰⪸1531↙⫖↰⪸2AA6)⪐)⇷((⫖↰⪸3498⋥≓≎⫖↰⪸1234)↬(⫖↰⪸831⪒⫖↰⪸1233)-(↣≠⋷(⫖↰⪸3477-⫖↰⪸2723)))","cot":[{"info":"↯⪼⫖↰⪸296B=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1531↙⫖↰⪸2AA6=⫖↰⪸-8876","layer":3},{"info":"⫖↰⪸-19⨐⩸⫘⫖↰⪸-8876=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⫖↰⪸3498⋥≓≎⫖↰⪸1234=⫖↰⪸-1003","layer":3},{"info":"⫖↰⪸831⪒⫖↰⪸1233=⫖↰⪸-1A64","layer":3},{"info":"⫖↰⪸-1003↬⫖↰⪸-1A64=NaN","layer":2},{"info":"⫖↰⪸3477-⫖↰⪸2723=⫖↰⪸954","layer":3},{"info":"↣≠⋷⫖↰⪸954=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"((⊥$4746$)%($1198$≦≮≮))≧⫂∧(($3324$≫≃)⪄$1706$↙$2844$)⩚⊴⇥((⇁⨣⪵$3366$)⨸⪁$1106$⨽$5069$)⪮%⊝($3611$%$1562$⪨≂$1016$⨎$2842$)","expression":"((⊥⫖↰⪸28B6)%(⫖↰⪸83A≦≮≮))≧⫂∧((⫖↰⪸1B10≫≃)⪄⫖↰⪸BA2↙⫖↰⪸1790)⩚⊴⇥((⇁⨣⪵⫖↰⪸1B46)⨸⪁⫖↰⪸782⨽⫖↰⪸2B25)⪮%⊝(⫖↰⪸210B%⫖↰⪸AA2⪨≂⫖↰⪸708⨎⫖↰⪸178A)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4094,"operation_count":15,"complexity_ratio":272.93333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4746,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1198,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3324,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1706,"base":12},"right_expr":{"type":"numeric_atoms","value":2844,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3366,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1106,"base":12},"right_expr":{"type":"numeric_atoms","value":5069,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3611,"base":12},"right_expr":{"type":"numeric_atoms","value":1562,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":2842,"base":12}}}}},"used_operators":["NTOWxs364D","Ph9nP6C5qx","k8jYdgA6NY","Q3PJZHRvZv","D4vGDi5EA2","SUmda5xLS4","X99M06cbEe","yyfyN0ffXY","IWmyXbctLI","g55IO6H4Gj","inkyxCbjAn","8HhzD0ZcuI","sdazOOVcIp","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3594","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3594, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3324","layer":4},{"info":"compute unary expreesion, input=3324, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8049","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=2844, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8532","layer":3},{"info":"compute binary expreesion, left_input=8049, right_input=-8532, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1153213","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1153213, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3366","layer":4},{"info":"compute unary expreesion, input=3366, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=5069, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3683601","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3683601, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=3611","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=1562, op_id = k8jYdgA6NY binary_op_definition= 'None', output=487","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2842, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2842","layer":3},{"info":"compute binary expreesion, left_input=487, right_input=2842, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4608","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4608, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊥⫖↰⪸28B6)%(⫖↰⪸83A≦≮≮))≧⫂∧((⫖↰⪸1B10≫≃)⪄⫖↰⪸BA2↙⫖↰⪸1790)⩚⊴⇥((⇁⨣⪵⫖↰⪸1B46)⨸⪁⫖↰⪸782⨽⫖↰⪸2B25)⪮%⊝(⫖↰⪸210B%⫖↰⪸AA2⪨≂⫖↰⪸708⨎⫖↰⪸178A)=NaN","reverse_text":"NaN=((⊥⫖↰⪸28B6)%(⫖↰⪸83A≦≮≮))≧⫂∧((⫖↰⪸1B10≫≃)⪄⫖↰⪸BA2↙⫖↰⪸1790)⩚⊴⇥((⇁⨣⪵⫖↰⪸1B46)⨸⪁⫖↰⪸782⨽⫖↰⪸2B25)⪮%⊝(⫖↰⪸210B%⫖↰⪸AA2⪨≂⫖↰⪸708⨎⫖↰⪸178A)","cot":[{"info":"⊥⫖↰⪸28B6=NaN","layer":3},{"info":"⫖↰⪸83A≦≮≮=⫖↰⪸-20B6","layer":3},{"info":"NaN%⫖↰⪸-20B6=NaN","layer":2},{"info":"⫖↰⪸1B10≫≃=⫖↰⪸47A9","layer":3},{"info":"⫖↰⪸BA2↙⫖↰⪸1790=⫖↰⪸-4B30","layer":3},{"info":"⫖↰⪸47A9⪄⫖↰⪸-4B30=⫖↰⪸-477451","layer":2},{"info":"NaN≧⫂∧⫖↰⪸-477451=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸1B46=NaN","layer":3},{"info":"⫖↰⪸782⨽⫖↰⪸2B25=⫖↰⪸-1297869","layer":3},{"info":"NaN⨸⪁⫖↰⪸-1297869=NaN","layer":2},{"info":"⫖↰⪸210B%⫖↰⪸AA2=⫖↰⪸347","layer":3},{"info":"⫖↰⪸708⨎⫖↰⪸178A=⫖↰⪸178A","layer":3},{"info":"⫖↰⪸347⪨≂⫖↰⪸178A=⫖↰⪸-2800","layer":2},{"info":"NaN⪮%⊝⫖↰⪸-2800=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"(($3555$⨐⩸⫘$2281$⨵⪆$1452$*$2736$)⊭↱$4160$∀⇚≩$5498$↙($2500$*$3946$))⫸⊐((⨈⫕(⪲⇎$4483$))⊪)","expression":"((⫖↰⪸2083⨐⩸⫘⫖↰⪸13A1⨵⪆⫖↰⪸A10*⫖↰⪸1700)⊭↱⫖↰⪸24A8∀⇚≩⫖↰⪸3222↙(⫖↰⪸1544*⫖↰⪸234A))⫸⊐((⨈⫕(⪲⇎⫖↰⪸2717))⊪)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33507,"operation_count":11,"complexity_ratio":3046.090909090909,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3555,"base":12},"right_expr":{"type":"numeric_atoms","value":2281,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1452,"base":12},"right_expr":{"type":"numeric_atoms","value":2736,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4160,"base":12},"right_expr":{"type":"numeric_atoms","value":5498,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2500,"base":12},"right_expr":{"type":"numeric_atoms","value":3946,"base":12}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4483,"base":12}}}}},"used_operators":["mqXw5SEYmG","COABgblf1C","2DQ55sFlQl","fu6greOZ01","9HNa5Wba9A","yyfyN0ffXY","LRNGc0VcxI","zVYPLywUTj","megm06wKyl","XPYlsWDdGa"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3555","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=3555, 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=1452","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=2736, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3972672","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3972672, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4160","layer":4},{"info":"number node, value=5498","layer":4},{"info":"compute binary expreesion, left_input=4160, right_input=5498, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2500","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=3946, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9865000","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9865000, 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=160, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=4483","layer":4},{"info":"compute unary expreesion, input=4483, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8966","layer":3},{"info":"compute unary expreesion, input=8966, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2083⨐⩸⫘⫖↰⪸13A1⨵⪆⫖↰⪸A10*⫖↰⪸1700)⊭↱⫖↰⪸24A8∀⇚≩⫖↰⪸3222↙(⫖↰⪸1544*⫖↰⪸234A))⫸⊐((⨈⫕(⪲⇎⫖↰⪸2717))⊪)=NaN","reverse_text":"NaN=((⫖↰⪸2083⨐⩸⫘⫖↰⪸13A1⨵⪆⫖↰⪸A10*⫖↰⪸1700)⊭↱⫖↰⪸24A8∀⇚≩⫖↰⪸3222↙(⫖↰⪸1544*⫖↰⪸234A))⫸⊐((⨈⫕(⪲⇎⫖↰⪸2717))⊪)","cot":[{"info":"⫖↰⪸2083⨐⩸⫘⫖↰⪸13A1=NaN","layer":3},{"info":"⫖↰⪸A10*⫖↰⪸1700=⫖↰⪸13B7000","layer":3},{"info":"NaN⨵⪆⫖↰⪸13B7000=⫖↰⪸114","layer":2},{"info":"⫖↰⪸24A8∀⇚≩⫖↰⪸3222=NaN","layer":3},{"info":"⫖↰⪸1544*⫖↰⪸234A=⫖↰⪸3378AB4","layer":3},{"info":"NaN↙⫖↰⪸3378AB4=NaN","layer":2},{"info":"⫖↰⪸114⊭↱NaN=NaN","layer":1},{"info":"⪲⇎⫖↰⪸2717=⫖↰⪸5232","layer":3},{"info":"⨈⫕⫖↰⪸5232=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸-19⊪=⫖↰⪸0","layer":1},{"info":"NaN⫸⊐⫖↰⪸0=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"(($1127$↙$5892$)⪠⩆⊳)∀⇚≩(↩($5385$∲⫓$1547$))⨵⪆(∥⊫(⊄⩳↩($2063$⊠≄⫣)))","expression":"((⫖↰⪸79B↙⫖↰⪸34B0)⪠⩆⊳)∀⇚≩(↩(⫖↰⪸3149∲⫓⫖↰⪸A8B))⨵⪆(∥⊫(⊄⩳↩(⫖↰⪸123B⊠≄⫣)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5934,"operation_count":9,"complexity_ratio":659.3333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_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":5892,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5385,"base":12},"right_expr":{"type":"numeric_atoms","value":1547,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2063,"base":12}}}}},"used_operators":["2DQ55sFlQl","LRNGc0VcxI","JLbD19bQDL","yyfyN0ffXY","jLgFTUHLKL","i8ToyICDmI","P8v4zCKN1o","8w2t5hMYqp","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=5892","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5892, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17676","layer":3},{"info":"compute unary expreesion, input=-17676, 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=5385","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=5385, right_input=1547, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4844, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=4844","layer":1},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=4844, right_input=868, 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":"((⫖↰⪸79B↙⫖↰⪸34B0)⪠⩆⊳)∀⇚≩(↩(⫖↰⪸3149∲⫓⫖↰⪸A8B))⨵⪆(∥⊫(⊄⩳↩(⫖↰⪸123B⊠≄⫣)))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫖↰⪸79B↙⫖↰⪸34B0)⪠⩆⊳)∀⇚≩(↩(⫖↰⪸3149∲⫓⫖↰⪸A8B))⨵⪆(∥⊫(⊄⩳↩(⫖↰⪸123B⊠≄⫣)))","cot":[{"info":"⫖↰⪸79B↙⫖↰⪸34B0=⫖↰⪸-A290","layer":3},{"info":"⫖↰⪸-A290⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3149∲⫓⫖↰⪸A8B=⫖↰⪸0","layer":3},{"info":"↩⫖↰⪸0=⫖↰⪸2978","layer":2},{"info":"⫖↰⪸0∀⇚≩⫖↰⪸2978=⫖↰⪸2978","layer":1},{"info":"⫖↰⪸123B⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⊄⩳↩⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"∥⊫⫖↰⪸0=⫖↰⪸604","layer":1},{"info":"⫖↰⪸2978⨵⪆⫖↰⪸604=⫖↰⪸114","layer":0}]}
{"id":456,"expression_no_base_symbol":"(($5486$↪⪝)*($2007$%$1973$))⪛(($5626$⫥∨⫟$3075$)≧⫂∧($4798$⩷∴$1032$))⪒$1680$⨰$7168$⨽($5616$↙$1484$)⨸⪁(↩$6432$)≧⫂∧$1133$⨟⋌⩍$1728$","expression":"((⫖↰⪸3212↪⪝)*(⫖↰⪸11B3%⫖↰⪸1185))⪛((⫖↰⪸330A⫥∨⫟⫖↰⪸1943)≧⫂∧(⫖↰⪸293A⩷∴⫖↰⪸720))⪒⫖↰⪸B80⨰⫖↰⪸4194⨽(⫖↰⪸3300↙⫖↰⪸A38)⨸⪁(↩⫖↰⪸3880)≧⫂∧⫖↰⪸7A5⨟⋌⩍⫖↰⪸1000","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7904,"operation_count":15,"complexity_ratio":526.9333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪛","left_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":2007,"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":5626,"base":12},"right_expr":{"type":"numeric_atoms","value":3075,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4798,"base":12},"right_expr":{"type":"numeric_atoms","value":1032,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1680,"base":12},"right_expr":{"type":"numeric_atoms","value":7168,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5616,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6432,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1133,"base":12},"right_expr":{"type":"numeric_atoms","value":1728,"base":12}}}}},"used_operators":["f6k1SAg4EE","uFcxV4UQCh","9HNa5Wba9A","l07mrZUIn9","k8jYdgA6NY","Ph9nP6C5qx","KYD54nUTWz","9FxExcQeMw","g55IO6H4Gj","8HhzD0ZcuI","eewbuw0ToL","yyfyN0ffXY","jLgFTUHLKL","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Tcnh7f0tEr"],"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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=335644452","layer":3},{"info":"number node, value=2007","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1973, op_id = k8jYdgA6NY binary_op_definition= 'None', output=34","layer":3},{"info":"compute binary expreesion, left_input=335644452, right_input=34, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"number node, value=5626","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=5626, right_input=3075, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4798","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=4798, right_input=1032, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7500","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7500, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7027","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=7027, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1680","layer":4},{"info":"number node, value=7168","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=7168, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5478","layer":3},{"info":"number node, value=5616","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=5616, right_input=1484, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4452","layer":3},{"info":"compute binary expreesion, left_input=-5478, right_input=-4452, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-90010782","layer":2},{"info":"number node, value=6432","layer":4},{"info":"compute unary expreesion, input=6432, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-48676","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1728, 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=-48676, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-90010782, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3212↪⪝)*(⫖↰⪸11B3%⫖↰⪸1185))⪛((⫖↰⪸330A⫥∨⫟⫖↰⪸1943)≧⫂∧(⫖↰⪸293A⩷∴⫖↰⪸720))⪒⫖↰⪸B80⨰⫖↰⪸4194⨽(⫖↰⪸3300↙⫖↰⪸A38)⨸⪁(↩⫖↰⪸3880)≧⫂∧⫖↰⪸7A5⨟⋌⩍⫖↰⪸1000=NaN","reverse_text":"NaN=((⫖↰⪸3212↪⪝)*(⫖↰⪸11B3%⫖↰⪸1185))⪛((⫖↰⪸330A⫥∨⫟⫖↰⪸1943)≧⫂∧(⫖↰⪸293A⩷∴⫖↰⪸720))⪒⫖↰⪸B80⨰⫖↰⪸4194⨽(⫖↰⪸3300↙⫖↰⪸A38)⨸⪁(↩⫖↰⪸3880)≧⫂∧⫖↰⪸7A5⨟⋌⩍⫖↰⪸1000","cot":[{"info":"⫖↰⪸3212↪⪝=⫖↰⪸944A6830","layer":3},{"info":"⫖↰⪸11B3%⫖↰⪸1185=⫖↰⪸2A","layer":3},{"info":"⫖↰⪸944A6830*⫖↰⪸2A=Inf","layer":2},{"info":"⫖↰⪸330A⫥∨⫟⫖↰⪸1943=NaN","layer":3},{"info":"⫖↰⪸293A⩷∴⫖↰⪸720=⫖↰⪸4410","layer":3},{"info":"NaN≧⫂∧⫖↰⪸4410=⫖↰⪸4097","layer":2},{"info":"Inf⪛⫖↰⪸4097=NaN","layer":1},{"info":"⫖↰⪸B80⨰⫖↰⪸4194=⫖↰⪸-3206","layer":3},{"info":"⫖↰⪸3300↙⫖↰⪸A38=⫖↰⪸-26B0","layer":3},{"info":"⫖↰⪸-3206⨽⫖↰⪸-26B0=⫖↰⪸-261896A6","layer":2},{"info":"↩⫖↰⪸3880=⫖↰⪸-24204","layer":3},{"info":"⫖↰⪸7A5⨟⋌⩍⫖↰⪸1000=NaN","layer":3},{"info":"⫖↰⪸-24204≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸-261896A6⨸⪁NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":457,"expression_no_base_symbol":"(($1202$∧)⪄($1826$⨸⪁$8156$))≭($1748$⋝⋈⪟$1211$⨎($1054$⊉≛↸$1665$))⨸⪁(≤/(≉($1890$/$1459$)))","expression":"((⫖↰⪸842∧)⪄(⫖↰⪸1082⨸⪁⫖↰⪸4878))≭(⫖↰⪸1018⋝⋈⪟⫖↰⪸84B⨎(⫖↰⪸73A⊉≛↸⫖↰⪸B69))⨸⪁(≤/(≉(⫖↰⪸1116/⫖↰⪸A17)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45,"operation_count":11,"complexity_ratio":4.090909090909091,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1202,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1826,"base":12},"right_expr":{"type":"numeric_atoms","value":8156,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1748,"base":12},"right_expr":{"type":"numeric_atoms","value":1211,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1054,"base":12},"right_expr":{"type":"numeric_atoms","value":1665,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1890,"base":12},"right_expr":{"type":"numeric_atoms","value":1459,"base":12}}}}},"used_operators":["g55IO6H4Gj","rxpJgHHUmx","SUmda5xLS4","z63VuFQld9","rJVOvQCfKK","2DDjHMKMc0","DZ8iAZOCBD","eLAdDNolq6","e1ybzncUwg","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, 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=1826","layer":4},{"info":"number node, value=8156","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=8156, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19964","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19964, 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=1748","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1748","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1665, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2108","layer":3},{"info":"compute binary expreesion, left_input=1748, right_input=2108, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2108","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=2108, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1890","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=1459, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=532","layer":2},{"info":"compute unary expreesion, input=532, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-48","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-48, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸842∧)⪄(⫖↰⪸1082⨸⪁⫖↰⪸4878))≭(⫖↰⪸1018⋝⋈⪟⫖↰⪸84B⨎(⫖↰⪸73A⊉≛↸⫖↰⪸B69))⨸⪁(≤/(≉(⫖↰⪸1116/⫖↰⪸A17)))=NaN","reverse_text":"NaN=((⫖↰⪸842∧)⪄(⫖↰⪸1082⨸⪁⫖↰⪸4878))≭(⫖↰⪸1018⋝⋈⪟⫖↰⪸84B⨎(⫖↰⪸73A⊉≛↸⫖↰⪸B69))⨸⪁(≤/(≉(⫖↰⪸1116/⫖↰⪸A17)))","cot":[{"info":"⫖↰⪸842∧=NaN","layer":3},{"info":"⫖↰⪸1082⨸⪁⫖↰⪸4878=⫖↰⪸B678","layer":3},{"info":"NaN⪄⫖↰⪸B678=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸1018⋝⋈⪟⫖↰⪸84B=⫖↰⪸1018","layer":3},{"info":"⫖↰⪸73A⊉≛↸⫖↰⪸B69=⫖↰⪸1278","layer":3},{"info":"⫖↰⪸1018⨎⫖↰⪸1278=⫖↰⪸1278","layer":2},{"info":"⫖↰⪸2377≭⫖↰⪸1278=NaN","layer":1},{"info":"⫖↰⪸1116/⫖↰⪸A17=⫖↰⪸1","layer":3},{"info":"≉⫖↰⪸1=⫖↰⪸384","layer":2},{"info":"≤/⫖↰⪸384=⫖↰⪸-40","layer":1},{"info":"NaN⨸⪁⫖↰⪸-40=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(↔(+⊝⨔$3181$))⋳⪒($4846$↬$2197$)↬($2278$⪨≂$2230$)*((⨞⊢($1416$⨳⩥⨓$3692$))∧)","expression":"(↔(+⊝⨔⫖↰⪸1A11))⋳⪒(⫖↰⪸297A↬⫖↰⪸1331)↬(⫖↰⪸139A⪨≂⫖↰⪸135A)*((⨞⊢(⫖↰⪸9A0⨳⩥⨓⫖↰⪸2178))∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75,"operation_count":10,"complexity_ratio":7.5,"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":3181,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4846,"base":12},"right_expr":{"type":"numeric_atoms","value":2197,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2278,"base":12},"right_expr":{"type":"numeric_atoms","value":2230,"base":12}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":3692,"base":12}}}}},"used_operators":["9HNa5Wba9A","12rbrZMWeM","ruOEQAzv1W","DhbWaqg5eL","B5M0gjZbta","sdazOOVcIp","z63VuFQld9","xUOZtlo3hN","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3181","layer":4},{"info":"compute unary expreesion, input=3181, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1249","layer":2},{"info":"number node, value=4846","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=2197, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2278","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=2230, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=198","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=198, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1249, 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=1416","layer":4},{"info":"number node, value=3692","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=3692, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2276","layer":3},{"info":"compute unary expreesion, input=2276, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2450","layer":2},{"info":"compute unary expreesion, input=-2450, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↔(+⊝⨔⫖↰⪸1A11))⋳⪒(⫖↰⪸297A↬⫖↰⪸1331)↬(⫖↰⪸139A⪨≂⫖↰⪸135A)*((⨞⊢(⫖↰⪸9A0⨳⩥⨓⫖↰⪸2178))∧)=NaN","reverse_text":"NaN=(↔(+⊝⨔⫖↰⪸1A11))⋳⪒(⫖↰⪸297A↬⫖↰⪸1331)↬(⫖↰⪸139A⪨≂⫖↰⪸135A)*((⨞⊢(⫖↰⪸9A0⨳⩥⨓⫖↰⪸2178))∧)","cot":[{"info":"+⊝⨔⫖↰⪸1A11=⫖↰⪸A6A","layer":3},{"info":"↔⫖↰⪸A6A=⫖↰⪸-881","layer":2},{"info":"⫖↰⪸297A↬⫖↰⪸1331=NaN","layer":3},{"info":"⫖↰⪸139A⪨≂⫖↰⪸135A=⫖↰⪸146","layer":3},{"info":"NaN↬⫖↰⪸146=NaN","layer":2},{"info":"⫖↰⪸-881⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸9A0⨳⩥⨓⫖↰⪸2178=⫖↰⪸1398","layer":3},{"info":"⨞⊢⫖↰⪸1398=⫖↰⪸-1502","layer":2},{"info":"⫖↰⪸-1502∧=⫖↰⪸0","layer":1},{"info":"NaN*⫖↰⪸0=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"((-$1227$)∑⇟⊟($1213$⪄$2118$))≹⇙⪍(($4291$≧⫂∧$2356$)≹⇙⪍($2374$⋷$2891$))⪮%⊝((⪲⇎($1004$⋫))≧⫂∧($1085$⇷$4513$⊭↱$3266$∀⇚≩$7000$))","expression":"((-⫖↰⪸863)∑⇟⊟(⫖↰⪸851⪄⫖↰⪸1286))≹⇙⪍((⫖↰⪸2597≧⫂∧⫖↰⪸1444)≹⇙⪍(⫖↰⪸145A⋷⫖↰⪸180B))⪮%⊝((⪲⇎(⫖↰⪸6B8⋫))≧⫂∧(⫖↰⪸765⇷⫖↰⪸2741⊭↱⫖↰⪸1A82∀⇚≩⫖↰⪸4074))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39183,"operation_count":14,"complexity_ratio":2798.785714285714,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1227,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1213,"base":12},"right_expr":{"type":"numeric_atoms","value":2118,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4291,"base":12},"right_expr":{"type":"numeric_atoms","value":2356,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2374,"base":12},"right_expr":{"type":"numeric_atoms","value":2891,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1004,"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":4513,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3266,"base":12},"right_expr":{"type":"numeric_atoms","value":7000,"base":12}}}}},"used_operators":["IWmyXbctLI","AHs5Up7iyr","U7g4x0WXJJ","t8gj7n24qd","SUmda5xLS4","Ph9nP6C5qx","23Mk6UjR3U","XPYlsWDdGa","JL8yIekQnl","COABgblf1C","mp7IySMOzn","LRNGc0VcxI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1227","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=2118, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-184085","layer":3},{"info":"compute binary expreesion, left_input=-1227, right_input=-184085, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4291","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=2356, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1883","layer":3},{"info":"number node, value=2374","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=2891, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3408","layer":3},{"info":"compute binary expreesion, left_input=1883, right_input=3408, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1004","layer":3},{"info":"compute unary expreesion, input=1004, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2008","layer":2},{"info":"number node, value=1085","layer":4},{"info":"number node, value=4513","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=4513, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9026","layer":3},{"info":"number node, value=3266","layer":4},{"info":"number node, value=7000","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=7000, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=9026, 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=2008, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((-⫖↰⪸863)∑⇟⊟(⫖↰⪸851⪄⫖↰⪸1286))≹⇙⪍((⫖↰⪸2597≧⫂∧⫖↰⪸1444)≹⇙⪍(⫖↰⪸145A⋷⫖↰⪸180B))⪮%⊝((⪲⇎(⫖↰⪸6B8⋫))≧⫂∧(⫖↰⪸765⇷⫖↰⪸2741⊭↱⫖↰⪸1A82∀⇚≩⫖↰⪸4074))=NaN","reverse_text":"NaN=((-⫖↰⪸863)∑⇟⊟(⫖↰⪸851⪄⫖↰⪸1286))≹⇙⪍((⫖↰⪸2597≧⫂∧⫖↰⪸1444)≹⇙⪍(⫖↰⪸145A⋷⫖↰⪸180B))⪮%⊝((⪲⇎(⫖↰⪸6B8⋫))≧⫂∧(⫖↰⪸765⇷⫖↰⪸2741⊭↱⫖↰⪸1A82∀⇚≩⫖↰⪸4074))","cot":[{"info":"-⫖↰⪸863=⫖↰⪸-863","layer":3},{"info":"⫖↰⪸851⪄⫖↰⪸1286=⫖↰⪸-8A645","layer":3},{"info":"⫖↰⪸-863∑⇟⊟⫖↰⪸-8A645=NaN","layer":2},{"info":"⫖↰⪸2597≧⫂∧⫖↰⪸1444=⫖↰⪸110B","layer":3},{"info":"⫖↰⪸145A⋷⫖↰⪸180B=⫖↰⪸1B80","layer":3},{"info":"⫖↰⪸110B≹⇙⪍⫖↰⪸1B80=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫖↰⪸6B8⋫=⫖↰⪸6B8","layer":3},{"info":"⪲⇎⫖↰⪸6B8=⫖↰⪸11B4","layer":2},{"info":"⫖↰⪸765⇷⫖↰⪸2741=⫖↰⪸5282","layer":3},{"info":"⫖↰⪸1A82∀⇚≩⫖↰⪸4074=NaN","layer":3},{"info":"⫖↰⪸5282⊭↱NaN=NaN","layer":2},{"info":"⫖↰⪸11B4≧⫂∧NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"(⫛⫱⨽($3028$↺$4205$⩨$2140$⫥∨⫟$3397$))-(⫓⪴((↣≠⋷$2166$)+⇶⊼($7484$-$2891$)))","expression":"(⫛⫱⨽(⫖↰⪸1904↺⫖↰⪸2525⩨⫖↰⪸12A4⫥∨⫟⫖↰⪸1B71))-(⫓⪴((↣≠⋷⫖↰⪸1306)+⇶⊼(⫖↰⪸43B8-⫖↰⪸180B)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1079,"operation_count":9,"complexity_ratio":119.88888888888889,"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":3028,"base":12},"right_expr":{"type":"numeric_atoms","value":4205,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2140,"base":12},"right_expr":{"type":"numeric_atoms","value":3397,"base":12}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_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":7484,"base":12},"right_expr":{"type":"numeric_atoms","value":2891,"base":12}}}}},"used_operators":["rysDP5nf3Z","DlLNRPXxWL","2DlMacCsIx","7j4O788W3g","KYD54nUTWz","eLxqMNBOBk","TpPTUOHfaN","Asc51vEJeQ"],"dependent_operators":["rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3028","layer":4},{"info":"number node, value=4205","layer":4},{"info":"compute binary expreesion, left_input=3028, right_input=4205, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4205","layer":3},{"info":"number node, value=2140","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=3397, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4205, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=7484","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=7484, right_input=2891, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4593","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4593, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽(⫖↰⪸1904↺⫖↰⪸2525⩨⫖↰⪸12A4⫥∨⫟⫖↰⪸1B71))-(⫓⪴((↣≠⋷⫖↰⪸1306)+⇶⊼(⫖↰⪸43B8-⫖↰⪸180B)))=NaN","reverse_text":"NaN=(⫛⫱⨽(⫖↰⪸1904↺⫖↰⪸2525⩨⫖↰⪸12A4⫥∨⫟⫖↰⪸1B71))-(⫓⪴((↣≠⋷⫖↰⪸1306)+⇶⊼(⫖↰⪸43B8-⫖↰⪸180B)))","cot":[{"info":"⫖↰⪸1904↺⫖↰⪸2525=⫖↰⪸2525","layer":3},{"info":"⫖↰⪸12A4⫥∨⫟⫖↰⪸1B71=NaN","layer":3},{"info":"⫖↰⪸2525⩨NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"↣≠⋷⫖↰⪸1306=NaN","layer":3},{"info":"⫖↰⪸43B8-⫖↰⪸180B=⫖↰⪸27A9","layer":3},{"info":"NaN+⇶⊼⫖↰⪸27A9=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"(↽≂((⊄⩳↩$4100$)↙$5909$⨪↰⇹$1177$))⋳⪒($6804$⇼⇔∾$5944$)+⇶⊼($5626$⫥∨⫟$4928$)≎⊠⪸(($1574$⫩⊇)↛⩡⫤)","expression":"(↽≂((⊄⩳↩⫖↰⪸2458)↙⫖↰⪸3505⨪↰⇹⫖↰⪸821))⋳⪒(⫖↰⪸3B30⇼⇔∾⫖↰⪸3534)+⇶⊼(⫖↰⪸330A⫥∨⫟⫖↰⪸2A28)≎⊠⪸((⫖↰⪸AB2⫩⊇)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10803,"operation_count":11,"complexity_ratio":982.0909090909091,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4100,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5909,"base":12},"right_expr":{"type":"numeric_atoms","value":1177,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6804,"base":12},"right_expr":{"type":"numeric_atoms","value":5944,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5626,"base":12},"right_expr":{"type":"numeric_atoms","value":4928,"base":12}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1574,"base":12}}}}},"used_operators":["12rbrZMWeM","u6S6b8DprG","yyfyN0ffXY","8w2t5hMYqp","tmPS8pqC7x","bJkvcejdHO","TpPTUOHfaN","tifHPKVTfV","KYD54nUTWz","FU0Cs4j7VP","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4100","layer":4},{"info":"compute unary expreesion, input=4100, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12300","layer":3},{"info":"number node, value=5909","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=5909, right_input=1177, 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=5909","layer":3},{"info":"compute binary expreesion, left_input=-12300, right_input=5909, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12300","layer":2},{"info":"compute unary expreesion, input=-12300, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=24600","layer":1},{"info":"number node, value=6804","layer":4},{"info":"number node, value=5944","layer":4},{"info":"compute binary expreesion, left_input=6804, right_input=5944, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-860","layer":3},{"info":"number node, value=5626","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=5626, right_input=4928, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-860, 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=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1532","layer":3},{"info":"compute unary expreesion, input=-1532, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2447, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=24600, right_input=nan, 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":"(↽≂((⊄⩳↩⫖↰⪸2458)↙⫖↰⪸3505⨪↰⇹⫖↰⪸821))⋳⪒(⫖↰⪸3B30⇼⇔∾⫖↰⪸3534)+⇶⊼(⫖↰⪸330A⫥∨⫟⫖↰⪸2A28)≎⊠⪸((⫖↰⪸AB2⫩⊇)↛⩡⫤)=NaN","reverse_text":"NaN=(↽≂((⊄⩳↩⫖↰⪸2458)↙⫖↰⪸3505⨪↰⇹⫖↰⪸821))⋳⪒(⫖↰⪸3B30⇼⇔∾⫖↰⪸3534)+⇶⊼(⫖↰⪸330A⫥∨⫟⫖↰⪸2A28)≎⊠⪸((⫖↰⪸AB2⫩⊇)↛⩡⫤)","cot":[{"info":"⊄⩳↩⫖↰⪸2458=⫖↰⪸-7150","layer":3},{"info":"⫖↰⪸3505⨪↰⇹⫖↰⪸821=⫖↰⪸3505","layer":3},{"info":"⫖↰⪸-7150↙⫖↰⪸3505=⫖↰⪸-7150","layer":2},{"info":"↽≂⫖↰⪸-7150=⫖↰⪸122A0","layer":1},{"info":"⫖↰⪸3B30⇼⇔∾⫖↰⪸3534=⫖↰⪸-5B8","layer":3},{"info":"⫖↰⪸330A⫥∨⫟⫖↰⪸2A28=NaN","layer":3},{"info":"⫖↰⪸-5B8+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸AB2⫩⊇=⫖↰⪸-A78","layer":3},{"info":"⫖↰⪸-A78↛⩡⫤=⫖↰⪸14BB","layer":2},{"info":"NaN≎⊠⪸⫖↰⪸14BB=NaN","layer":1},{"info":"⫖↰⪸122A0⋳⪒NaN=NaN","layer":0}]}
{"id":462,"expression_no_base_symbol":"↔(((⫛⫱⨽$3470$)⊭↱($5358$⪒$5428$))⫌⩹⨱)","expression":"↔(((⫛⫱⨽⫖↰⪸2012)⊭↱(⫖↰⪸3126⪒⫖↰⪸3184))⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1460,"operation_count":5,"complexity_ratio":292.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3470,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5358,"base":12},"right_expr":{"type":"numeric_atoms","value":5428,"base":12}}}}},"used_operators":["ruOEQAzv1W","EBcxylXtPf","COABgblf1C","DlLNRPXxWL","f6k1SAg4EE"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-B2","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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5358","layer":4},{"info":"number node, value=5428","layer":4},{"info":"compute binary expreesion, left_input=5358, right_input=5428, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10786","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10786, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-21567","layer":2},{"info":"compute unary expreesion, input=-21567, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-41733","layer":1},{"info":"compute unary expreesion, input=-41733, 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":"↔(((⫛⫱⨽⫖↰⪸2012)⊭↱(⫖↰⪸3126⪒⫖↰⪸3184))⫌⩹⨱)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔(((⫛⫱⨽⫖↰⪸2012)⊭↱(⫖↰⪸3126⪒⫖↰⪸3184))⫌⩹⨱)","cot":[{"info":"⫛⫱⨽⫖↰⪸2012=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3126⪒⫖↰⪸3184=⫖↰⪸-62AA","layer":3},{"info":"⫖↰⪸0⊭↱⫖↰⪸-62AA=⫖↰⪸-10593","layer":2},{"info":"⫖↰⪸-10593⫌⩹⨱=⫖↰⪸-20199","layer":1},{"info":"↔⫖↰⪸-20199=⫖↰⪸-B2","layer":0}]}
{"id":463,"expression_no_base_symbol":"((↔$2058$)≧⫂∧(⊙↵-$2270$))⨟⋌⩍(⊥(∥⊫$1165$))⨵⪆((⫛⫱⨽$1129$)⫥∨⫟(⪝⪂⫅$1168$)⫡⨏(↥$1093$)⨰($3375$↺$1057$))","expression":"((↔⫖↰⪸1236)≧⫂∧(⊙↵-⫖↰⪸1392))⨟⋌⩍(⊥(∥⊫⫖↰⪸811))⨵⪆((⫛⫱⨽⫖↰⪸7A1)⫥∨⫟(⪝⪂⫅⫖↰⪸814)⫡⨏(↥⫖↰⪸771)⨰(⫖↰⪸1B53↺⫖↰⪸741))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4093,"operation_count":14,"complexity_ratio":292.35714285714283,"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":2058,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2270,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1165,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1129,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1168,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1093,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3375,"base":12},"right_expr":{"type":"numeric_atoms","value":1057,"base":12}}}}},"used_operators":["2DQ55sFlQl","rGHVDoGpnC","Ph9nP6C5qx","ruOEQAzv1W","oWn0xqSxBt","Q3PJZHRvZv","P8v4zCKN1o","QMFrweE19q","KYD54nUTWz","DlLNRPXxWL","XTarYq4gQB","eewbuw0ToL","A8NUZmVepG","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"compute unary expreesion, input=2058, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1785","layer":3},{"info":"number node, value=2270","layer":4},{"info":"compute unary expreesion, input=2270, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-1785, right_input=-1, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-474","layer":2},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2033","layer":3},{"info":"compute unary expreesion, input=2033, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-474, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-171696","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-171696, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":3},{"info":"number node, value=3375","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=1057, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1057","layer":3},{"info":"compute binary expreesion, left_input=22, right_input=1057, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1025","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1025, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"((↔⫖↰⪸1236)≧⫂∧(⊙↵-⫖↰⪸1392))⨟⋌⩍(⊥(∥⊫⫖↰⪸811))⨵⪆((⫛⫱⨽⫖↰⪸7A1)⫥∨⫟(⪝⪂⫅⫖↰⪸814)⫡⨏(↥⫖↰⪸771)⨰(⫖↰⪸1B53↺⫖↰⪸741))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((↔⫖↰⪸1236)≧⫂∧(⊙↵-⫖↰⪸1392))⨟⋌⩍(⊥(∥⊫⫖↰⪸811))⨵⪆((⫛⫱⨽⫖↰⪸7A1)⫥∨⫟(⪝⪂⫅⫖↰⪸814)⫡⨏(↥⫖↰⪸771)⨰(⫖↰⪸1B53↺⫖↰⪸741))","cot":[{"info":"↔⫖↰⪸1236=⫖↰⪸-1049","layer":3},{"info":"⊙↵-⫖↰⪸1392=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-1049≧⫂∧⫖↰⪸-1=⫖↰⪸-336","layer":2},{"info":"∥⊫⫖↰⪸811=⫖↰⪸1215","layer":3},{"info":"⊥⫖↰⪸1215=NaN","layer":2},{"info":"⫖↰⪸-336⨟⋌⩍NaN=NaN","layer":1},{"info":"⫛⫱⨽⫖↰⪸7A1=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸814=⫖↰⪸-83440","layer":3},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸-83440=NaN","layer":2},{"info":"↥⫖↰⪸771=⫖↰⪸1A","layer":3},{"info":"⫖↰⪸1B53↺⫖↰⪸741=⫖↰⪸741","layer":3},{"info":"⫖↰⪸1A⨰⫖↰⪸741=⫖↰⪸-715","layer":2},{"info":"NaN⫡⨏⫖↰⪸-715=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":464,"expression_no_base_symbol":"⊙↵-((($7614$/$1346$)⨸⪁($1491$⫡⨏$1934$))≎⊠⪸($4626$⪢$2210$)⪢$4613$⪮%⊝$1258$)","expression":"⊙↵-(((⫖↰⪸44A6/⫖↰⪸942)⨸⪁(⫖↰⪸A43⫡⨏⫖↰⪸1152))≎⊠⪸(⫖↰⪸2816⪢⫖↰⪸1342)⪢⫖↰⪸2805⪮%⊝⫖↰⪸88A)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12950,"operation_count":8,"complexity_ratio":1618.75,"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":7614,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1491,"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":4626,"base":12},"right_expr":{"type":"numeric_atoms","value":2210,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4613,"base":12},"right_expr":{"type":"numeric_atoms","value":1258,"base":12}}}}},"used_operators":["oWn0xqSxBt","bJkvcejdHO","g55IO6H4Gj","XhwjNDsVaA","QMFrweE19q","dWAJyo7jo9","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7614","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=7614, right_input=1346, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"number node, value=1491","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1934, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12106","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=12106, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24222","layer":2},{"info":"number node, value=4626","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=2210, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=4613","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=1258, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9542","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9542, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=24222, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(((⫖↰⪸44A6/⫖↰⪸942)⨸⪁(⫖↰⪸A43⫡⨏⫖↰⪸1152))≎⊠⪸(⫖↰⪸2816⪢⫖↰⪸1342)⪢⫖↰⪸2805⪮%⊝⫖↰⪸88A)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-(((⫖↰⪸44A6/⫖↰⪸942)⨸⪁(⫖↰⪸A43⫡⨏⫖↰⪸1152))≎⊠⪸(⫖↰⪸2816⪢⫖↰⪸1342)⪢⫖↰⪸2805⪮%⊝⫖↰⪸88A)","cot":[{"info":"⫖↰⪸44A6/⫖↰⪸942=⫖↰⪸5","layer":3},{"info":"⫖↰⪸A43⫡⨏⫖↰⪸1152=⫖↰⪸700A","layer":3},{"info":"⫖↰⪸5⨸⪁⫖↰⪸700A=⫖↰⪸12026","layer":2},{"info":"⫖↰⪸2816⪢⫖↰⪸1342=NaN","layer":3},{"info":"⫖↰⪸2805⪮%⊝⫖↰⪸88A=⫖↰⪸5632","layer":3},{"info":"NaN⪢⫖↰⪸5632=NaN","layer":2},{"info":"⫖↰⪸12026≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⊙↵-⫖↰⪸57=⫖↰⪸0","layer":0}]}
{"id":465,"expression_no_base_symbol":"($4569$⪮%⊝$2688$⋷$3187$⇼⇔∾$4116$)↬(($1462$∲⫓$2806$)⨎($2654$↙$1472$))⨽((($2845$∸)⊘)⪒($3114$⪠⩆⊳)⊉≛↸$4755$⨎$3841$)","expression":"(⫖↰⪸2789⪮%⊝⫖↰⪸1680⋷⫖↰⪸1A17⇼⇔∾⫖↰⪸2470)↬((⫖↰⪸A1A∲⫓⫖↰⪸175A)⨎(⫖↰⪸1652↙⫖↰⪸A28))⨽(((⫖↰⪸1791∸)⊘)⪒(⫖↰⪸1976⪠⩆⊳)⊉≛↸⫖↰⪸2903⨎⫖↰⪸2281)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1711,"operation_count":14,"complexity_ratio":122.21428571428571,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4569,"base":12},"right_expr":{"type":"numeric_atoms","value":2688,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3187,"base":12},"right_expr":{"type":"numeric_atoms","value":4116,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1462,"base":12},"right_expr":{"type":"numeric_atoms","value":2806,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2654,"base":12},"right_expr":{"type":"numeric_atoms","value":1472,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2845,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3114,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4755,"base":12},"right_expr":{"type":"numeric_atoms","value":3841,"base":12}}}}},"used_operators":["8HhzD0ZcuI","B5M0gjZbta","23Mk6UjR3U","IWmyXbctLI","tifHPKVTfV","rJVOvQCfKK","i8ToyICDmI","yyfyN0ffXY","f6k1SAg4EE","gu96TGCTMs","o20kRiQErp","DZ8iAZOCBD","JLbD19bQDL"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4569","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=4569, right_input=2688, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9454","layer":3},{"info":"number node, value=3187","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=4116, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=929","layer":3},{"info":"compute binary expreesion, left_input=9454, right_input=929, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-7596","layer":2},{"info":"number node, value=1462","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2806, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2654","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=1472, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4416","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4416, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4416","layer":2},{"info":"compute binary expreesion, left_input=-7596, right_input=-4416, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2845","layer":4},{"info":"compute unary expreesion, input=2845, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, 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=3114","layer":4},{"info":"compute unary expreesion, input=3114, 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=4755","layer":4},{"info":"number node, value=3841","layer":4},{"info":"compute binary expreesion, left_input=4755, right_input=3841, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3841","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3841, 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=0, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2789⪮%⊝⫖↰⪸1680⋷⫖↰⪸1A17⇼⇔∾⫖↰⪸2470)↬((⫖↰⪸A1A∲⫓⫖↰⪸175A)⨎(⫖↰⪸1652↙⫖↰⪸A28))⨽(((⫖↰⪸1791∸)⊘)⪒(⫖↰⪸1976⪠⩆⊳)⊉≛↸⫖↰⪸2903⨎⫖↰⪸2281)=NaN","reverse_text":"NaN=(⫖↰⪸2789⪮%⊝⫖↰⪸1680⋷⫖↰⪸1A17⇼⇔∾⫖↰⪸2470)↬((⫖↰⪸A1A∲⫓⫖↰⪸175A)⨎(⫖↰⪸1652↙⫖↰⪸A28))⨽(((⫖↰⪸1791∸)⊘)⪒(⫖↰⪸1976⪠⩆⊳)⊉≛↸⫖↰⪸2903⨎⫖↰⪸2281)","cot":[{"info":"⫖↰⪸2789⪮%⊝⫖↰⪸1680=⫖↰⪸557A","layer":3},{"info":"⫖↰⪸1A17⇼⇔∾⫖↰⪸2470=⫖↰⪸655","layer":3},{"info":"⫖↰⪸557A⋷⫖↰⪸655=⫖↰⪸-4490","layer":2},{"info":"⫖↰⪸A1A∲⫓⫖↰⪸175A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1652↙⫖↰⪸A28=⫖↰⪸-2680","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸-2680=⫖↰⪸-2680","layer":2},{"info":"⫖↰⪸-4490↬⫖↰⪸-2680=NaN","layer":1},{"info":"⫖↰⪸1791∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸129⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1976⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2903⨎⫖↰⪸2281=⫖↰⪸2281","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸2281=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⪒⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⨽⫖↰⪸0=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(($1071$⩨$2789$)⨽$2320$⫥∨⫟$3223$↺($3318$+⇶⊼$1726$*(≉$4822$)))⨰(⪝⪂⫅($1038$⫩⊇))≹⇙⪍($1196$⪘⫢$1272$≣⋋)","expression":"((⫖↰⪸753⩨⫖↰⪸1745)⨽⫖↰⪸1414⫥∨⫟⫖↰⪸1A47↺(⫖↰⪸1B06+⇶⊼⫖↰⪸BBA*(≉⫖↰⪸295A)))⨰(⪝⪂⫅(⫖↰⪸726⫩⊇))≹⇙⪍(⫖↰⪸838⪘⫢⫖↰⪸8A0≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":868,"operation_count":13,"complexity_ratio":66.76923076923077,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1071,"base":12},"right_expr":{"type":"numeric_atoms","value":2789,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2320,"base":12},"right_expr":{"type":"numeric_atoms","value":3223,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3318,"base":12},"right_expr":{"type":"numeric_atoms","value":1726,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4822,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1038,"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":1272,"base":12}}}}},"used_operators":["eewbuw0ToL","7j4O788W3g","8HhzD0ZcuI","2DlMacCsIx","KYD54nUTWz","9HNa5Wba9A","TpPTUOHfaN","e1ybzncUwg","AHs5Up7iyr","XTarYq4gQB","BjRHVeLaeN","Tcnh7f0tEr","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=2789, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2320","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=3223, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3318","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=1726, 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=4822","layer":4},{"info":"compute unary expreesion, input=4822, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5353","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5353, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-996","layer":3},{"info":"compute unary expreesion, input=-996, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=146412","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1272, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2268","layer":3},{"info":"compute unary expreesion, input=2268, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=146412, 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=146412","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=146412, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸753⩨⫖↰⪸1745)⨽⫖↰⪸1414⫥∨⫟⫖↰⪸1A47↺(⫖↰⪸1B06+⇶⊼⫖↰⪸BBA*(≉⫖↰⪸295A)))⨰(⪝⪂⫅(⫖↰⪸726⫩⊇))≹⇙⪍(⫖↰⪸838⪘⫢⫖↰⪸8A0≣⋋)=NaN","reverse_text":"NaN=((⫖↰⪸753⩨⫖↰⪸1745)⨽⫖↰⪸1414⫥∨⫟⫖↰⪸1A47↺(⫖↰⪸1B06+⇶⊼⫖↰⪸BBA*(≉⫖↰⪸295A)))⨰(⪝⪂⫅(⫖↰⪸726⫩⊇))≹⇙⪍(⫖↰⪸838⪘⫢⫖↰⪸8A0≣⋋)","cot":[{"info":"⫖↰⪸753⩨⫖↰⪸1745=⫖↰⪸-6","layer":3},{"info":"⫖↰⪸1414⫥∨⫟⫖↰⪸1A47=NaN","layer":3},{"info":"⫖↰⪸-6⨽NaN=NaN","layer":2},{"info":"⫖↰⪸1B06+⇶⊼⫖↰⪸BBA=NaN","layer":3},{"info":"≉⫖↰⪸295A=⫖↰⪸3121","layer":3},{"info":"NaN*⫖↰⪸3121=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⫖↰⪸726⫩⊇=⫖↰⪸-6B0","layer":3},{"info":"⪝⪂⫅⫖↰⪸-6B0=⫖↰⪸70890","layer":2},{"info":"⫖↰⪸838⪘⫢⫖↰⪸8A0=⫖↰⪸1390","layer":3},{"info":"⫖↰⪸1390≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸70890≹⇙⪍⫖↰⪸0=⫖↰⪸70890","layer":1},{"info":"NaN⨰⫖↰⪸70890=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"(⨰⫟⨤($1205$⋓$1020$⪨≂$4445$⊭↱$1502$))⋝⋈⪟((⪲⇎(⨰⫟⨤$7416$))⨎($3307$⋥≓≎$6332$⫡⨏$3094$⨳⩥⨓$5355$))","expression":"(⨰⫟⨤(⫖↰⪸845⋓⫖↰⪸710⪨≂⫖↰⪸26A5⊭↱⫖↰⪸A52))⋝⋈⪟((⪲⇎(⨰⫟⨤⫖↰⪸4360))⨎(⫖↰⪸1AB7⋥≓≎⫖↰⪸37B8⫡⨏⫖↰⪸195A⨳⩥⨓⫖↰⪸3123))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":75484,"operation_count":11,"complexity_ratio":6862.181818181818,"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":1205,"base":12},"right_expr":{"type":"numeric_atoms","value":1020,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4445,"base":12},"right_expr":{"type":"numeric_atoms","value":1502,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7416,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3307,"base":12},"right_expr":{"type":"numeric_atoms","value":6332,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3094,"base":12},"right_expr":{"type":"numeric_atoms","value":5355,"base":12}}}}},"used_operators":["2DDjHMKMc0","Tw270M8GLb","sdazOOVcIp","T2fj7uvVaJ","COABgblf1C","rJVOvQCfKK","XPYlsWDdGa","QMFrweE19q","Qy55tPpLXF","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1205","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1020, 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=4445","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=1502, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5881","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5881, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=11864","layer":2},{"info":"compute unary expreesion, input=11864, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=7416","layer":4},{"info":"compute unary expreesion, input=7416, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=3307","layer":4},{"info":"number node, value=6332","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=6332, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9390","layer":3},{"info":"number node, value=3094","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=5355, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2261","layer":3},{"info":"compute binary expreesion, left_input=9390, right_input=2261, 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=52255","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=52255, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=52255","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=52255, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤(⫖↰⪸845⋓⫖↰⪸710⪨≂⫖↰⪸26A5⊭↱⫖↰⪸A52))⋝⋈⪟((⪲⇎(⨰⫟⨤⫖↰⪸4360))⨎(⫖↰⪸1AB7⋥≓≎⫖↰⪸37B8⫡⨏⫖↰⪸195A⨳⩥⨓⫖↰⪸3123))=NaN","reverse_text":"NaN=(⨰⫟⨤(⫖↰⪸845⋓⫖↰⪸710⪨≂⫖↰⪸26A5⊭↱⫖↰⪸A52))⋝⋈⪟((⪲⇎(⨰⫟⨤⫖↰⪸4360))⨎(⫖↰⪸1AB7⋥≓≎⫖↰⪸37B8⫡⨏⫖↰⪸195A⨳⩥⨓⫖↰⪸3123))","cot":[{"info":"⫖↰⪸845⋓⫖↰⪸710=⫖↰⪸0","layer":3},{"info":"⫖↰⪸26A5⊭↱⫖↰⪸A52=⫖↰⪸-34A1","layer":3},{"info":"⫖↰⪸0⪨≂⫖↰⪸-34A1=⫖↰⪸6A48","layer":2},{"info":"⨰⫟⨤⫖↰⪸6A48=NaN","layer":1},{"info":"⨰⫟⨤⫖↰⪸4360=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⫖↰⪸1AB7⋥≓≎⫖↰⪸37B8=⫖↰⪸5526","layer":3},{"info":"⫖↰⪸195A⨳⩥⨓⫖↰⪸3123=⫖↰⪸1385","layer":3},{"info":"⫖↰⪸5526⫡⨏⫖↰⪸1385=⫖↰⪸262A7","layer":2},{"info":"NaN⨎⫖↰⪸262A7=⫖↰⪸262A7","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸262A7=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"($3858$⩚⊴⇥$3398$⨸⪁($1918$∲⫓$3051$)⨸⪁(⩦⩻⨪($3528$⪨≂$4575$)))⊴((⨑⩽⪐($3773$≣⋋))⨎($3568$≭$2249$⫡⨏$1428$≎⊠⪸$1004$))","expression":"(⫖↰⪸2296⩚⊴⇥⫖↰⪸1B72⨸⪁(⫖↰⪸113A∲⫓⫖↰⪸1923)⨸⪁(⩦⩻⨪(⫖↰⪸2060⪨≂⫖↰⪸2793)))⊴((⨑⩽⪐(⫖↰⪸2225≣⋋))⨎(⫖↰⪸2094≭⫖↰⪸1375⫡⨏⫖↰⪸9B0≎⊠⪸⫖↰⪸6B8))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":826,"operation_count":13,"complexity_ratio":63.53846153846154,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3858,"base":12},"right_expr":{"type":"numeric_atoms","value":3398,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1918,"base":12},"right_expr":{"type":"numeric_atoms","value":3051,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3528,"base":12},"right_expr":{"type":"numeric_atoms","value":4575,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3773,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3568,"base":12},"right_expr":{"type":"numeric_atoms","value":2249,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":1004,"base":12}}}}},"used_operators":["Nsiff2A1zJ","g55IO6H4Gj","NTOWxs364D","i8ToyICDmI","2td37pGCOC","sdazOOVcIp","rJVOvQCfKK","AF7qkfDlqP","Tcnh7f0tEr","QMFrweE19q","rxpJgHHUmx","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3858","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=3858, right_input=3398, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7377","layer":3},{"info":"number node, value=1918","layer":4},{"info":"number node, value=3051","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=3051, 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=-7377, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-14754","layer":2},{"info":"number node, value=3528","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=4575, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1992","layer":3},{"info":"compute unary expreesion, input=-1992, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1992","layer":2},{"info":"compute binary expreesion, left_input=-14754, right_input=-1992, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-33492","layer":1},{"info":"number node, value=3773","layer":4},{"info":"compute unary expreesion, input=3773, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=3568","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=3568, right_input=2249, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1428","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=1004, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=369379","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=369379, 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=789, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-33492, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2296⩚⊴⇥⫖↰⪸1B72⨸⪁(⫖↰⪸113A∲⫓⫖↰⪸1923)⨸⪁(⩦⩻⨪(⫖↰⪸2060⪨≂⫖↰⪸2793)))⊴((⨑⩽⪐(⫖↰⪸2225≣⋋))⨎(⫖↰⪸2094≭⫖↰⪸1375⫡⨏⫖↰⪸9B0≎⊠⪸⫖↰⪸6B8))=NaN","reverse_text":"NaN=(⫖↰⪸2296⩚⊴⇥⫖↰⪸1B72⨸⪁(⫖↰⪸113A∲⫓⫖↰⪸1923)⨸⪁(⩦⩻⨪(⫖↰⪸2060⪨≂⫖↰⪸2793)))⊴((⨑⩽⪐(⫖↰⪸2225≣⋋))⨎(⫖↰⪸2094≭⫖↰⪸1375⫡⨏⫖↰⪸9B0≎⊠⪸⫖↰⪸6B8))","cot":[{"info":"⫖↰⪸2296⩚⊴⇥⫖↰⪸1B72=⫖↰⪸-4329","layer":3},{"info":"⫖↰⪸113A∲⫓⫖↰⪸1923=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-4329⨸⪁⫖↰⪸0=⫖↰⪸-8656","layer":2},{"info":"⫖↰⪸2060⪨≂⫖↰⪸2793=⫖↰⪸-11A0","layer":3},{"info":"⩦⩻⨪⫖↰⪸-11A0=⫖↰⪸-11A0","layer":2},{"info":"⫖↰⪸-8656⨸⪁⫖↰⪸-11A0=⫖↰⪸-17470","layer":1},{"info":"⫖↰⪸2225≣⋋=⫖↰⪸0","layer":3},{"info":"⨑⩽⪐⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"⫖↰⪸2094≭⫖↰⪸1375=NaN","layer":3},{"info":"⫖↰⪸9B0≎⊠⪸⫖↰⪸6B8=⫖↰⪸159917","layer":3},{"info":"NaN⫡⨏⫖↰⪸159917=NaN","layer":2},{"info":"⫖↰⪸559⨎NaN=NaN","layer":1},{"info":"⫖↰⪸-17470⊴NaN=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"($1618$⨸⪁$1793$%$2068$∼$1213$)⨰($5887$↙$5514$⫸⊐(⨑⩽⪐$2787$))⫸⊐$5091$⊴$1296$⋥≓≎($1258$∲⫓$2224$)↙($6665$∀⇚≩$3593$↺$2085$∀⇚≩$6329$)","expression":"(⫖↰⪸B2A⨸⪁⫖↰⪸1055%⫖↰⪸1244∼⫖↰⪸851)⨰(⫖↰⪸34A7↙⫖↰⪸3236⫸⊐(⨑⩽⪐⫖↰⪸1743))⫸⊐⫖↰⪸2B43⊴⫖↰⪸900⋥≓≎(⫖↰⪸88A∲⫓⫖↰⪸1354)↙(⫖↰⪸3A35∀⇚≩⫖↰⪸20B5↺⫖↰⪸1259∀⇚≩⫖↰⪸37B5)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":71208,"operation_count":15,"complexity_ratio":4747.2,"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":1618,"base":12},"right_expr":{"type":"numeric_atoms","value":1793,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2068,"base":12},"right_expr":{"type":"numeric_atoms","value":1213,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5887,"base":12},"right_expr":{"type":"numeric_atoms","value":5514,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2787,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5091,"base":12},"right_expr":{"type":"numeric_atoms","value":1296,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1258,"base":12},"right_expr":{"type":"numeric_atoms","value":2224,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6665,"base":12},"right_expr":{"type":"numeric_atoms","value":3593,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2085,"base":12},"right_expr":{"type":"numeric_atoms","value":6329,"base":12}}}}},"used_operators":["mqXw5SEYmG","eewbuw0ToL","k8jYdgA6NY","g55IO6H4Gj","DyGG3AbaNP","yyfyN0ffXY","AF7qkfDlqP","Qy55tPpLXF","Nsiff2A1zJ","i8ToyICDmI","7j4O788W3g","LRNGc0VcxI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1793, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6822","layer":3},{"info":"number node, value=2068","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1213, 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=6822, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5887","layer":4},{"info":"number node, value=5514","layer":4},{"info":"compute binary expreesion, left_input=5887, right_input=5514, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16542","layer":3},{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2514","layer":3},{"info":"compute binary expreesion, left_input=-16542, right_input=-2514, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5091","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=1296, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=2224, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=6665","layer":4},{"info":"number node, value=3593","layer":4},{"info":"compute binary expreesion, left_input=6665, right_input=3593, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2085","layer":4},{"info":"number node, value=6329","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=6329, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=67, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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":"(⫖↰⪸B2A⨸⪁⫖↰⪸1055%⫖↰⪸1244∼⫖↰⪸851)⨰(⫖↰⪸34A7↙⫖↰⪸3236⫸⊐(⨑⩽⪐⫖↰⪸1743))⫸⊐⫖↰⪸2B43⊴⫖↰⪸900⋥≓≎(⫖↰⪸88A∲⫓⫖↰⪸1354)↙(⫖↰⪸3A35∀⇚≩⫖↰⪸20B5↺⫖↰⪸1259∀⇚≩⫖↰⪸37B5)=NaN","reverse_text":"NaN=(⫖↰⪸B2A⨸⪁⫖↰⪸1055%⫖↰⪸1244∼⫖↰⪸851)⨰(⫖↰⪸34A7↙⫖↰⪸3236⫸⊐(⨑⩽⪐⫖↰⪸1743))⫸⊐⫖↰⪸2B43⊴⫖↰⪸900⋥≓≎(⫖↰⪸88A∲⫓⫖↰⪸1354)↙(⫖↰⪸3A35∀⇚≩⫖↰⪸20B5↺⫖↰⪸1259∀⇚≩⫖↰⪸37B5)","cot":[{"info":"⫖↰⪸B2A⨸⪁⫖↰⪸1055=⫖↰⪸3B46","layer":3},{"info":"⫖↰⪸1244∼⫖↰⪸851=NaN","layer":3},{"info":"⫖↰⪸3B46%NaN=NaN","layer":2},{"info":"⫖↰⪸34A7↙⫖↰⪸3236=⫖↰⪸-96A6","layer":3},{"info":"⨑⩽⪐⫖↰⪸1743=⫖↰⪸-1556","layer":3},{"info":"⫖↰⪸-96A6⫸⊐⫖↰⪸-1556=⫖↰⪸688","layer":2},{"info":"NaN⨰⫖↰⪸688=NaN","layer":1},{"info":"⫖↰⪸2B43⊴⫖↰⪸900=NaN","layer":3},{"info":"⫖↰⪸88A∲⫓⫖↰⪸1354=⫖↰⪸0","layer":3},{"info":"NaN⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":2},{"info":"⫖↰⪸3A35∀⇚≩⫖↰⪸20B5=NaN","layer":3},{"info":"⫖↰⪸1259∀⇚≩⫖↰⪸37B5=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⫖↰⪸57↙NaN=⫖↰⪸57","layer":1},{"info":"NaN⫸⊐⫖↰⪸57=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"((⊄⩳↩($4459$⨳⩥⨓$5463$))⪮%⊝(⊙↵-(+⊝⨔$2328$)))⪮%⊝((⫛⫱⨽($6527$⊭↱$5658$))⋥≓≎($4180$-$7839$)↬($2992$≫≃))","expression":"((⊄⩳↩(⫖↰⪸26B7⨳⩥⨓⫖↰⪸31B3))⪮%⊝(⊙↵-(+⊝⨔⫖↰⪸1420)))⪮%⊝((⫛⫱⨽(⫖↰⪸393B⊭↱⫖↰⪸3336))⋥≓≎(⫖↰⪸2504-⫖↰⪸4653)↬(⫖↰⪸1894≫≃))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3073,"operation_count":12,"complexity_ratio":256.0833333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4459,"base":12},"right_expr":{"type":"numeric_atoms","value":5463,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2328,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6527,"base":12},"right_expr":{"type":"numeric_atoms","value":5658,"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":7839,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2992,"base":12}}}}},"used_operators":["IWmyXbctLI","8w2t5hMYqp","nCS4ZIUYfx","oWn0xqSxBt","DhbWaqg5eL","Qy55tPpLXF","DlLNRPXxWL","COABgblf1C","B5M0gjZbta","rysDP5nf3Z","X99M06cbEe"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4459","layer":4},{"info":"number node, value=5463","layer":4},{"info":"compute binary expreesion, left_input=4459, right_input=5463, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1004","layer":3},{"info":"compute unary expreesion, input=1004, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3012","layer":2},{"info":"number node, value=2328","layer":4},{"info":"compute unary expreesion, input=2328, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-3012, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5708","layer":1},{"info":"number node, value=6527","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=6527, right_input=5658, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1733","layer":3},{"info":"compute unary expreesion, input=-1733, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4180","layer":4},{"info":"number node, value=7839","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=7839, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3659","layer":3},{"info":"number node, value=2992","layer":4},{"info":"compute unary expreesion, input=2992, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7385","layer":3},{"info":"compute binary expreesion, left_input=-3659, right_input=7385, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5708, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊄⩳↩(⫖↰⪸26B7⨳⩥⨓⫖↰⪸31B3))⪮%⊝(⊙↵-(+⊝⨔⫖↰⪸1420)))⪮%⊝((⫛⫱⨽(⫖↰⪸393B⊭↱⫖↰⪸3336))⋥≓≎(⫖↰⪸2504-⫖↰⪸4653)↬(⫖↰⪸1894≫≃))=NaN","reverse_text":"NaN=((⊄⩳↩(⫖↰⪸26B7⨳⩥⨓⫖↰⪸31B3))⪮%⊝(⊙↵-(+⊝⨔⫖↰⪸1420)))⪮%⊝((⫛⫱⨽(⫖↰⪸393B⊭↱⫖↰⪸3336))⋥≓≎(⫖↰⪸2504-⫖↰⪸4653)↬(⫖↰⪸1894≫≃))","cot":[{"info":"⫖↰⪸26B7⨳⩥⨓⫖↰⪸31B3=⫖↰⪸6B8","layer":3},{"info":"⊄⩳↩⫖↰⪸6B8=⫖↰⪸-18B0","layer":2},{"info":"+⊝⨔⫖↰⪸1420=⫖↰⪸A6A","layer":3},{"info":"⊙↵-⫖↰⪸A6A=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-18B0⪮%⊝⫖↰⪸-1=⫖↰⪸-3378","layer":1},{"info":"⫖↰⪸393B⊭↱⫖↰⪸3336=⫖↰⪸-1005","layer":3},{"info":"⫛⫱⨽⫖↰⪸-1005=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2504-⫖↰⪸4653=⫖↰⪸-214B","layer":3},{"info":"⫖↰⪸1894≫≃=⫖↰⪸4335","layer":3},{"info":"⫖↰⪸-214B↬⫖↰⪸4335=NaN","layer":2},{"info":"⫖↰⪸0⋥≓≎NaN=NaN","layer":1},{"info":"⫖↰⪸-3378⪮%⊝NaN=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"(⨑⩽⪐($2338$⇼⇔∾$2824$)⋝⋈⪟($1126$⩚⊴⇥$1554$))⫌⩹⨱","expression":"(⨑⩽⪐(⫖↰⪸142A⇼⇔∾⫖↰⪸1774)⋝⋈⪟(⫖↰⪸79A⩚⊴⇥⫖↰⪸A96))⫌⩹⨱","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19,"operation_count":5,"complexity_ratio":3.8,"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":2338,"base":12},"right_expr":{"type":"numeric_atoms","value":2824,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1126,"base":12},"right_expr":{"type":"numeric_atoms","value":1554,"base":12}}}}},"used_operators":["EBcxylXtPf","AF7qkfDlqP","2DDjHMKMc0","tifHPKVTfV","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸693","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2338","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=2824, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=486","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1554, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2801","layer":3},{"info":"compute binary expreesion, left_input=486, right_input=-2801, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=486","layer":2},{"info":"compute unary expreesion, input=486, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-213","layer":1},{"info":"compute unary expreesion, input=-213, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=975","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐(⫖↰⪸142A⇼⇔∾⫖↰⪸1774)⋝⋈⪟(⫖↰⪸79A⩚⊴⇥⫖↰⪸A96))⫌⩹⨱=⫖↰⪸693","reverse_text":"⫖↰⪸693=(⨑⩽⪐(⫖↰⪸142A⇼⇔∾⫖↰⪸1774)⋝⋈⪟(⫖↰⪸79A⩚⊴⇥⫖↰⪸A96))⫌⩹⨱","cot":[{"info":"⫖↰⪸142A⇼⇔∾⫖↰⪸1774=⫖↰⪸346","layer":3},{"info":"⫖↰⪸79A⩚⊴⇥⫖↰⪸A96=⫖↰⪸-1755","layer":3},{"info":"⫖↰⪸346⋝⋈⪟⫖↰⪸-1755=⫖↰⪸346","layer":2},{"info":"⨑⩽⪐⫖↰⪸346=⫖↰⪸-159","layer":1},{"info":"⫖↰⪸-159⫌⩹⨱=⫖↰⪸693","layer":0}]}
{"id":472,"expression_no_base_symbol":"(($1158$⨪↰⇹$8110$-$1916$⪮%⊝$1018$)*($5555$⫥∨⫟$1902$⩨$4150$⫸⊐$6820$))↙(($4363$⪨≂$5408$⫡⨏($2584$≫≃))⪄(↽≂$5375$⨐⩸⫘$1114$))","expression":"((⫖↰⪸806⨪↰⇹⫖↰⪸483A-⫖↰⪸1138⪮%⊝⫖↰⪸70A)*(⫖↰⪸326B⫥∨⫟⫖↰⪸1126⩨⫖↰⪸249A⫸⊐⫖↰⪸3B44))↙((⫖↰⪸2637⪨≂⫖↰⪸3168⫡⨏(⫖↰⪸15B4≫≃))⪄(↽≂⫖↰⪸313B⨐⩸⫘⫖↰⪸78A))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1469,"operation_count":14,"complexity_ratio":104.92857142857143,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1158,"base":12},"right_expr":{"type":"numeric_atoms","value":8110,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1916,"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":5555,"base":12},"right_expr":{"type":"numeric_atoms","value":1902,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4150,"base":12},"right_expr":{"type":"numeric_atoms","value":6820,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4363,"base":12},"right_expr":{"type":"numeric_atoms","value":5408,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2584,"base":12}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5375,"base":12},"right_expr":{"type":"numeric_atoms","value":1114,"base":12}}}}},"used_operators":["yyfyN0ffXY","9HNa5Wba9A","rysDP5nf3Z","tmPS8pqC7x","IWmyXbctLI","2DlMacCsIx","KYD54nUTWz","mqXw5SEYmG","SUmda5xLS4","QMFrweE19q","sdazOOVcIp","X99M06cbEe","u6S6b8DprG","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"number node, value=8110","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=8110, 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=1158","layer":3},{"info":"number node, value=1916","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=1018, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4148","layer":3},{"info":"compute binary expreesion, left_input=1158, right_input=4148, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2990","layer":2},{"info":"number node, value=5555","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=5555, right_input=1902, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4150","layer":4},{"info":"number node, value=6820","layer":4},{"info":"compute binary expreesion, left_input=4150, right_input=6820, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27155","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27155, 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=-2990, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4363","layer":4},{"info":"number node, value=5408","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=5408, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1988","layer":3},{"info":"number node, value=2584","layer":4},{"info":"compute unary expreesion, input=2584, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6569","layer":3},{"info":"compute binary expreesion, left_input=-1988, right_input=6569, 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=3981","layer":2},{"info":"number node, value=5375","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=5375, right_input=1114, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3981, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸806⨪↰⇹⫖↰⪸483A-⫖↰⪸1138⪮%⊝⫖↰⪸70A)*(⫖↰⪸326B⫥∨⫟⫖↰⪸1126⩨⫖↰⪸249A⫸⊐⫖↰⪸3B44))↙((⫖↰⪸2637⪨≂⫖↰⪸3168⫡⨏(⫖↰⪸15B4≫≃))⪄(↽≂⫖↰⪸313B⨐⩸⫘⫖↰⪸78A))=NaN","reverse_text":"NaN=((⫖↰⪸806⨪↰⇹⫖↰⪸483A-⫖↰⪸1138⪮%⊝⫖↰⪸70A)*(⫖↰⪸326B⫥∨⫟⫖↰⪸1126⩨⫖↰⪸249A⫸⊐⫖↰⪸3B44))↙((⫖↰⪸2637⪨≂⫖↰⪸3168⫡⨏(⫖↰⪸15B4≫≃))⪄(↽≂⫖↰⪸313B⨐⩸⫘⫖↰⪸78A))","cot":[{"info":"⫖↰⪸806⨪↰⇹⫖↰⪸483A=⫖↰⪸806","layer":3},{"info":"⫖↰⪸1138⪮%⊝⫖↰⪸70A=⫖↰⪸2498","layer":3},{"info":"⫖↰⪸806-⫖↰⪸2498=⫖↰⪸-1892","layer":2},{"info":"⫖↰⪸326B⫥∨⫟⫖↰⪸1126=NaN","layer":3},{"info":"⫖↰⪸249A⫸⊐⫖↰⪸3B44=⫖↰⪸1386B","layer":3},{"info":"NaN⩨⫖↰⪸1386B=NaN","layer":2},{"info":"⫖↰⪸-1892*NaN=NaN","layer":1},{"info":"⫖↰⪸2637⪨≂⫖↰⪸3168=⫖↰⪸-1198","layer":3},{"info":"⫖↰⪸15B4≫≃=⫖↰⪸3975","layer":3},{"info":"⫖↰⪸-1198⫡⨏⫖↰⪸3975=⫖↰⪸2379","layer":2},{"info":"⫖↰⪸313B⨐⩸⫘⫖↰⪸78A=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫖↰⪸2379⪄NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"((⨰⫟⨤($2558$≫≃))⨸⪁($1045$⪢$1969$⋫))∑⇟⊟(-($1292$⪨≂$4610$))⪘⫢($1293$-$1244$)≹⇙⪍($2828$↪⪝)","expression":"((⨰⫟⨤(⫖↰⪸1592≫≃))⨸⪁(⫖↰⪸731⪢⫖↰⪸1181⋫))∑⇟⊟(-(⫖↰⪸8B8⪨≂⫖↰⪸2802))⪘⫢(⫖↰⪸8B9-⫖↰⪸878)≹⇙⪍(⫖↰⪸1778↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27926,"operation_count":12,"complexity_ratio":2327.1666666666665,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2558,"base":12}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1045,"base":12},"right_expr":{"type":"numeric_atoms","value":1969,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1292,"base":12},"right_expr":{"type":"numeric_atoms","value":4610,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1293,"base":12},"right_expr":{"type":"numeric_atoms","value":1244,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2828,"base":12}}}}},"used_operators":["U7g4x0WXJJ","g55IO6H4Gj","Tw270M8GLb","X99M06cbEe","JL8yIekQnl","dWAJyo7jo9","oacrs7FA3X","t8gj7n24qd","sdazOOVcIp","AHs5Up7iyr","rysDP5nf3Z","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6517","layer":3},{"info":"compute unary expreesion, input=6517, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1969, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1292","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=4610, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6534","layer":3},{"info":"compute unary expreesion, input=-6534, op_id = t8gj7n24qd, unary_op_definition = 'None', output=6534","layer":2},{"info":"number node, value=1293","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=1244, op_id = rysDP5nf3Z binary_op_definition= 'None', output=49","layer":3},{"info":"number node, value=2828","layer":4},{"info":"compute unary expreesion, input=2828, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=173022696","layer":3},{"info":"compute binary expreesion, left_input=49, right_input=173022696, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6534, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨰⫟⨤(⫖↰⪸1592≫≃))⨸⪁(⫖↰⪸731⪢⫖↰⪸1181⋫))∑⇟⊟(-(⫖↰⪸8B8⪨≂⫖↰⪸2802))⪘⫢(⫖↰⪸8B9-⫖↰⪸878)≹⇙⪍(⫖↰⪸1778↪⪝)=NaN","reverse_text":"NaN=((⨰⫟⨤(⫖↰⪸1592≫≃))⨸⪁(⫖↰⪸731⪢⫖↰⪸1181⋫))∑⇟⊟(-(⫖↰⪸8B8⪨≂⫖↰⪸2802))⪘⫢(⫖↰⪸8B9-⫖↰⪸878)≹⇙⪍(⫖↰⪸1778↪⪝)","cot":[{"info":"⫖↰⪸1592≫≃=⫖↰⪸3931","layer":3},{"info":"⨰⫟⨤⫖↰⪸3931=NaN","layer":2},{"info":"⫖↰⪸731⪢⫖↰⪸1181=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸8B8⪨≂⫖↰⪸2802=⫖↰⪸-3946","layer":3},{"info":"-⫖↰⪸-3946=⫖↰⪸3946","layer":2},{"info":"⫖↰⪸8B9-⫖↰⪸878=⫖↰⪸41","layer":3},{"info":"⫖↰⪸1778↪⪝=⫖↰⪸49B40A60","layer":3},{"info":"⫖↰⪸41≹⇙⪍⫖↰⪸49B40A60=NaN","layer":2},{"info":"⫖↰⪸3946⪘⫢NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"($8682$≎⊠⪸$1104$⋫)⊴(↥$2922$⇷$1282$)⋓(($1509$↬$4423$⊭↱($6003$%$5178$))↙(+⊝⨔$2195$)⪘⫢(⫛⫱⨽$3206$))","expression":"(⫖↰⪸5036≎⊠⪸⫖↰⪸780⋫)⊴(↥⫖↰⪸1836⇷⫖↰⪸8AA)⋓((⫖↰⪸A59↬⫖↰⪸2687⊭↱(⫖↰⪸3583%⫖↰⪸2BB6))↙(+⊝⨔⫖↰⪸132B)⪘⫢(⫛⫱⨽⫖↰⪸1A32))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42748,"operation_count":13,"complexity_ratio":3288.3076923076924,"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":8682,"base":12},"right_expr":{"type":"numeric_atoms","value":1104,"base":12}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2922,"base":12},"right_expr":{"type":"numeric_atoms","value":1282,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1509,"base":12},"right_expr":{"type":"numeric_atoms","value":4423,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6003,"base":12},"right_expr":{"type":"numeric_atoms","value":5178,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2195,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3206,"base":12}}}}},"used_operators":["T2fj7uvVaJ","Nsiff2A1zJ","JL8yIekQnl","bJkvcejdHO","A8NUZmVepG","mp7IySMOzn","yyfyN0ffXY","COABgblf1C","B5M0gjZbta","k8jYdgA6NY","oacrs7FA3X","DhbWaqg5eL","DlLNRPXxWL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8682","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=8682, right_input=1104, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2248165","layer":3},{"info":"compute unary expreesion, input=2248165, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1282, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2564","layer":3},{"info":"compute unary expreesion, input=2564, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1509","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=4423, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6003","layer":4},{"info":"number node, value=5178","layer":4},{"info":"compute binary expreesion, left_input=6003, right_input=5178, op_id = k8jYdgA6NY binary_op_definition= 'None', output=825","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=825, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, 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=3206","layer":4},{"info":"compute unary expreesion, input=3206, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1522, 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":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸5036≎⊠⪸⫖↰⪸780⋫)⊴(↥⫖↰⪸1836⇷⫖↰⪸8AA)⋓((⫖↰⪸A59↬⫖↰⪸2687⊭↱(⫖↰⪸3583%⫖↰⪸2BB6))↙(+⊝⨔⫖↰⪸132B)⪘⫢(⫛⫱⨽⫖↰⪸1A32))=NaN","reverse_text":"NaN=(⫖↰⪸5036≎⊠⪸⫖↰⪸780⋫)⊴(↥⫖↰⪸1836⇷⫖↰⪸8AA)⋓((⫖↰⪸A59↬⫖↰⪸2687⊭↱(⫖↰⪸3583%⫖↰⪸2BB6))↙(+⊝⨔⫖↰⪸132B)⪘⫢(⫛⫱⨽⫖↰⪸1A32))","cot":[{"info":"⫖↰⪸5036≎⊠⪸⫖↰⪸780=⫖↰⪸905031","layer":3},{"info":"⫖↰⪸905031⋫=NaN","layer":2},{"info":"⫖↰⪸1836⇷⫖↰⪸8AA=⫖↰⪸1598","layer":3},{"info":"↥⫖↰⪸1598=⫖↰⪸12","layer":2},{"info":"NaN⊴⫖↰⪸12=NaN","layer":1},{"info":"⫖↰⪸A59↬⫖↰⪸2687=NaN","layer":3},{"info":"⫖↰⪸3583%⫖↰⪸2BB6=⫖↰⪸589","layer":3},{"info":"NaN⊭↱⫖↰⪸589=NaN","layer":2},{"info":"+⊝⨔⫖↰⪸132B=⫖↰⪸A6A","layer":3},{"info":"⫛⫱⨽⫖↰⪸1A32=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A6A⪘⫢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN↙⫖↰⪸0=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"(($7788$⪨≂$3195$)⇼⇔∾$6664$↬$4345$)⪢($1025$⨪↰⇹$4648$⨵⪆$4122$⩨$3718$)⊭↱(⨰⫟⨤(($1132$∲⫓$1568$)⊠≄⫣))","expression":"((⫖↰⪸4610⪨≂⫖↰⪸1A23)⇼⇔∾⫖↰⪸3A34↬⫖↰⪸2621)⪢(⫖↰⪸715⨪↰⇹⫖↰⪸2834⨵⪆⫖↰⪸2476⩨⫖↰⪸219A)⊭↱(⨰⫟⨤((⫖↰⪸7A4∲⫓⫖↰⪸AA8)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2103,"operation_count":11,"complexity_ratio":191.1818181818182,"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":7788,"base":12},"right_expr":{"type":"numeric_atoms","value":3195,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6664,"base":12},"right_expr":{"type":"numeric_atoms","value":4345,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1025,"base":12},"right_expr":{"type":"numeric_atoms","value":4648,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4122,"base":12},"right_expr":{"type":"numeric_atoms","value":3718,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1132,"base":12},"right_expr":{"type":"numeric_atoms","value":1568,"base":12}}}}},"used_operators":["COABgblf1C","dWAJyo7jo9","tifHPKVTfV","sdazOOVcIp","B5M0gjZbta","2DQ55sFlQl","tmPS8pqC7x","2DlMacCsIx","Tw270M8GLb","DIvbN7qnHd","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7788","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=7788, right_input=3195, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9288","layer":3},{"info":"number node, value=6664","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=6664, right_input=4345, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=9288, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1025","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=4648, 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=1025","layer":3},{"info":"number node, value=4122","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=3718, 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=1025, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1132","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1568, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4492662, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4610⪨≂⫖↰⪸1A23)⇼⇔∾⫖↰⪸3A34↬⫖↰⪸2621)⪢(⫖↰⪸715⨪↰⇹⫖↰⪸2834⨵⪆⫖↰⪸2476⩨⫖↰⪸219A)⊭↱(⨰⫟⨤((⫖↰⪸7A4∲⫓⫖↰⪸AA8)⊠≄⫣))=NaN","reverse_text":"NaN=((⫖↰⪸4610⪨≂⫖↰⪸1A23)⇼⇔∾⫖↰⪸3A34↬⫖↰⪸2621)⪢(⫖↰⪸715⨪↰⇹⫖↰⪸2834⨵⪆⫖↰⪸2476⩨⫖↰⪸219A)⊭↱(⨰⫟⨤((⫖↰⪸7A4∲⫓⫖↰⪸AA8)⊠≄⫣))","cot":[{"info":"⫖↰⪸4610⪨≂⫖↰⪸1A23=⫖↰⪸5460","layer":3},{"info":"⫖↰⪸3A34↬⫖↰⪸2621=NaN","layer":3},{"info":"⫖↰⪸5460⇼⇔∾NaN=NaN","layer":2},{"info":"⫖↰⪸715⨪↰⇹⫖↰⪸2834=⫖↰⪸715","layer":3},{"info":"⫖↰⪸2476⩨⫖↰⪸219A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸715⨵⪆⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"NaN⪢⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸7A4∲⫓⫖↰⪸AA8=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊠≄⫣=⫖↰⪸0","layer":2},{"info":"⨰⫟⨤⫖↰⪸0=⫖↰⪸1607B06","layer":1},{"info":"NaN⊭↱⫖↰⪸1607B06=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"($1043$∀⇚≩$3897$)⪮%⊝($2771$∲⫓$2114$)⨳⩥⨓(∂($3221$⨰$2333$))⨳⩥⨓(⨑⩽⪐($3158$⇼⇔∾$8239$)⋝⋈⪟$4348$⨟⋌⩍$2695$)","expression":"(⫖↰⪸72B∀⇚≩⫖↰⪸2309)⪮%⊝(⫖↰⪸172B∲⫓⫖↰⪸1282)⨳⩥⨓(∂(⫖↰⪸1A45⨰⫖↰⪸1425))⨳⩥⨓(⨑⩽⪐(⫖↰⪸19B2⇼⇔∾⫖↰⪸4927)⋝⋈⪟⫖↰⪸2624⨟⋌⩍⫖↰⪸1687)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7338,"operation_count":11,"complexity_ratio":667.0909090909091,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1043,"base":12},"right_expr":{"type":"numeric_atoms","value":3897,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2771,"base":12},"right_expr":{"type":"numeric_atoms","value":2114,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3221,"base":12},"right_expr":{"type":"numeric_atoms","value":2333,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3158,"base":12},"right_expr":{"type":"numeric_atoms","value":8239,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4348,"base":12},"right_expr":{"type":"numeric_atoms","value":2695,"base":12}}}}},"used_operators":["nCS4ZIUYfx","IWmyXbctLI","LRNGc0VcxI","i8ToyICDmI","Uaa54Peajs","eewbuw0ToL","AF7qkfDlqP","2DDjHMKMc0","tifHPKVTfV","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=3897, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2771","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=2771, right_input=2114, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=3221","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=2333, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=898","layer":3},{"info":"compute unary expreesion, input=898, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=3158","layer":4},{"info":"number node, value=8239","layer":4},{"info":"compute binary expreesion, left_input=3158, right_input=8239, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5081","layer":3},{"info":"number node, value=4348","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=2695, 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=5081, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸72B∀⇚≩⫖↰⪸2309)⪮%⊝(⫖↰⪸172B∲⫓⫖↰⪸1282)⨳⩥⨓(∂(⫖↰⪸1A45⨰⫖↰⪸1425))⨳⩥⨓(⨑⩽⪐(⫖↰⪸19B2⇼⇔∾⫖↰⪸4927)⋝⋈⪟⫖↰⪸2624⨟⋌⩍⫖↰⪸1687)=NaN","reverse_text":"NaN=(⫖↰⪸72B∀⇚≩⫖↰⪸2309)⪮%⊝(⫖↰⪸172B∲⫓⫖↰⪸1282)⨳⩥⨓(∂(⫖↰⪸1A45⨰⫖↰⪸1425))⨳⩥⨓(⨑⩽⪐(⫖↰⪸19B2⇼⇔∾⫖↰⪸4927)⋝⋈⪟⫖↰⪸2624⨟⋌⩍⫖↰⪸1687)","cot":[{"info":"⫖↰⪸72B∀⇚≩⫖↰⪸2309=NaN","layer":3},{"info":"⫖↰⪸172B∲⫓⫖↰⪸1282=⫖↰⪸0","layer":3},{"info":"NaN⪮%⊝⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1A45⨰⫖↰⪸1425=⫖↰⪸62A","layer":3},{"info":"∂⫖↰⪸62A=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⫖↰⪸19B2⇼⇔∾⫖↰⪸4927=⫖↰⪸2B35","layer":3},{"info":"⫖↰⪸2624⨟⋌⩍⫖↰⪸1687=NaN","layer":3},{"info":"⫖↰⪸2B35⋝⋈⪟NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"(($1206$↙$4078$)⋥≓≎($2773$⊭∹↮))∀⇚≩((⪝⪂⫅$4864$)⨵⪆$4060$⨳⩥⨓$1198$)/(⇁⨣⪵($4419$-$2213$)⨰($1236$+$9295$))","expression":"((⫖↰⪸846↙⫖↰⪸243A)⋥≓≎(⫖↰⪸1731⊭∹↮))∀⇚≩((⪝⪂⫅⫖↰⪸2994)⨵⪆⫖↰⪸2424⨳⩥⨓⫖↰⪸83A)/(⇁⨣⪵(⫖↰⪸2683-⫖↰⪸1345)⨰(⫖↰⪸870+⫖↰⪸5467))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4722,"operation_count":12,"complexity_ratio":393.5,"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":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":4078,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2773,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4864,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4060,"base":12},"right_expr":{"type":"numeric_atoms","value":1198,"base":12}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4419,"base":12},"right_expr":{"type":"numeric_atoms","value":2213,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":9295,"base":12}}}}},"used_operators":["XhwjNDsVaA","LRNGc0VcxI","Qy55tPpLXF","yyfyN0ffXY","xNBdhnnwKq","2DQ55sFlQl","XTarYq4gQB","nCS4ZIUYfx","inkyxCbjAn","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":4},{"info":"number node, value=4078","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=4078, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12234","layer":3},{"info":"number node, value=2773","layer":4},{"info":"compute unary expreesion, input=2773, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5546","layer":3},{"info":"compute binary expreesion, left_input=-12234, right_input=5546, 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=4864","layer":4},{"info":"compute unary expreesion, input=4864, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-715008","layer":3},{"info":"number node, value=4060","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=1198, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2862","layer":3},{"info":"compute binary expreesion, left_input=-715008, right_input=-2862, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4419","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=4419, right_input=2213, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2206","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=9295","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=9295, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10531","layer":3},{"info":"compute binary expreesion, left_input=2206, right_input=10531, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8315","layer":2},{"info":"compute unary expreesion, input=-8315, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸846↙⫖↰⪸243A)⋥≓≎(⫖↰⪸1731⊭∹↮))∀⇚≩((⪝⪂⫅⫖↰⪸2994)⨵⪆⫖↰⪸2424⨳⩥⨓⫖↰⪸83A)/(⇁⨣⪵(⫖↰⪸2683-⫖↰⪸1345)⨰(⫖↰⪸870+⫖↰⪸5467))=NaN","reverse_text":"NaN=((⫖↰⪸846↙⫖↰⪸243A)⋥≓≎(⫖↰⪸1731⊭∹↮))∀⇚≩((⪝⪂⫅⫖↰⪸2994)⨵⪆⫖↰⪸2424⨳⩥⨓⫖↰⪸83A)/(⇁⨣⪵(⫖↰⪸2683-⫖↰⪸1345)⨰(⫖↰⪸870+⫖↰⪸5467))","cot":[{"info":"⫖↰⪸846↙⫖↰⪸243A=⫖↰⪸-70B6","layer":3},{"info":"⫖↰⪸1731⊭∹↮=⫖↰⪸3262","layer":3},{"info":"⫖↰⪸-70B6⋥≓≎⫖↰⪸3262=⫖↰⪸57","layer":2},{"info":"⪝⪂⫅⫖↰⪸2994=⫖↰⪸-2A5940","layer":3},{"info":"⫖↰⪸2424⨳⩥⨓⫖↰⪸83A=⫖↰⪸-17A6","layer":3},{"info":"⫖↰⪸-2A5940⨵⪆⫖↰⪸-17A6=⫖↰⪸114","layer":2},{"info":"⫖↰⪸57∀⇚≩⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸2683-⫖↰⪸1345=⫖↰⪸133A","layer":3},{"info":"⫖↰⪸870+⫖↰⪸5467=⫖↰⪸6117","layer":3},{"info":"⫖↰⪸133A⨰⫖↰⪸6117=⫖↰⪸-498B","layer":2},{"info":"⇁⨣⪵⫖↰⪸-498B=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"(⨈⫕(↥($4866$↙$6812$)))≣⋋","expression":"(⨈⫕(↥(⫖↰⪸2996↙⫖↰⪸3B38)))≣⋋","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7625,"operation_count":4,"complexity_ratio":1906.25,"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":4866,"base":12},"right_expr":{"type":"numeric_atoms","value":6812,"base":12}}}}},"used_operators":["Tcnh7f0tEr","megm06wKyl","A8NUZmVepG","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4866","layer":4},{"info":"number node, value=6812","layer":4},{"info":"compute binary expreesion, left_input=4866, right_input=6812, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20436","layer":3},{"info":"compute unary expreesion, input=-20436, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":2},{"info":"compute unary expreesion, input=15, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕(↥(⫖↰⪸2996↙⫖↰⪸3B38)))≣⋋=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨈⫕(↥(⫖↰⪸2996↙⫖↰⪸3B38)))≣⋋","cot":[{"info":"⫖↰⪸2996↙⫖↰⪸3B38=⫖↰⪸-B9B0","layer":3},{"info":"↥⫖↰⪸-B9B0=⫖↰⪸13","layer":2},{"info":"⨈⫕⫖↰⪸13=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸-19≣⋋=⫖↰⪸0","layer":0}]}
{"id":479,"expression_no_base_symbol":"((⨵≀≌$1347$)⫡⨏$5841$⨪↰⇹$2023$)↙((↔$4147$)⪨≂$3489$+⇶⊼$3656$)∲⫓($4466$⨰$1498$⊉≛↸($1759$⇋≉)/(⊙↵-($7178$≋⫹)))","expression":"((⨵≀≌⫖↰⪸943)⫡⨏⫖↰⪸3469⨪↰⇹⫖↰⪸1207)↙((↔⫖↰⪸2497)⪨≂⫖↰⪸2029+⇶⊼⫖↰⪸2148)∲⫓(⫖↰⪸2702⨰⫖↰⪸A4A⊉≛↸(⫖↰⪸1027⇋≉)/(⊙↵-(⫖↰⪸41A2≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20298,"operation_count":14,"complexity_ratio":1449.857142857143,"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":1347,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5841,"base":12},"right_expr":{"type":"numeric_atoms","value":2023,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4147,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3489,"base":12},"right_expr":{"type":"numeric_atoms","value":3656,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4466,"base":12},"right_expr":{"type":"numeric_atoms","value":1498,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1759,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7178,"base":12}}}}},"used_operators":["i8ToyICDmI","yyfyN0ffXY","QMFrweE19q","srAu1WTS94","tmPS8pqC7x","sdazOOVcIp","ruOEQAzv1W","TpPTUOHfaN","XhwjNDsVaA","DZ8iAZOCBD","eewbuw0ToL","XIabStNQrY","oWn0xqSxBt","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-4590","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4041","layer":3},{"info":"number node, value=5841","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=5841, right_input=2023, 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=5841","layer":3},{"info":"compute binary expreesion, left_input=-4041, right_input=5841, 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=-7740","layer":2},{"info":"number node, value=4147","layer":4},{"info":"compute unary expreesion, input=4147, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3874","layer":3},{"info":"number node, value=3489","layer":4},{"info":"number node, value=3656","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=3656, 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=-3874, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7740, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7740","layer":1},{"info":"number node, value=4466","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=1498, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2978","layer":3},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3420","layer":3},{"info":"compute binary expreesion, left_input=2978, right_input=3420, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5956","layer":2},{"info":"number node, value=7178","layer":4},{"info":"compute unary expreesion, input=7178, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14356","layer":3},{"info":"compute unary expreesion, input=-14356, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=5956, right_input=196, op_id = XhwjNDsVaA binary_op_definition= 'None', output=30","layer":1},{"info":"compute binary expreesion, left_input=-7740, right_input=30, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-7740","layer":0}],"base":12,"result_base":12,"text":"((⨵≀≌⫖↰⪸943)⫡⨏⫖↰⪸3469⨪↰⇹⫖↰⪸1207)↙((↔⫖↰⪸2497)⪨≂⫖↰⪸2029+⇶⊼⫖↰⪸2148)∲⫓(⫖↰⪸2702⨰⫖↰⪸A4A⊉≛↸(⫖↰⪸1027⇋≉)/(⊙↵-(⫖↰⪸41A2≋⫹)))=⫖↰⪸-4590","reverse_text":"⫖↰⪸-4590=((⨵≀≌⫖↰⪸943)⫡⨏⫖↰⪸3469⨪↰⇹⫖↰⪸1207)↙((↔⫖↰⪸2497)⪨≂⫖↰⪸2029+⇶⊼⫖↰⪸2148)∲⫓(⫖↰⪸2702⨰⫖↰⪸A4A⊉≛↸(⫖↰⪸1027⇋≉)/(⊙↵-(⫖↰⪸41A2≋⫹)))","cot":[{"info":"⨵≀≌⫖↰⪸943=⫖↰⪸-2409","layer":3},{"info":"⫖↰⪸3469⨪↰⇹⫖↰⪸1207=⫖↰⪸3469","layer":3},{"info":"⫖↰⪸-2409⫡⨏⫖↰⪸3469=⫖↰⪸-4590","layer":2},{"info":"↔⫖↰⪸2497=⫖↰⪸-22AA","layer":3},{"info":"⫖↰⪸2029+⇶⊼⫖↰⪸2148=NaN","layer":3},{"info":"⫖↰⪸-22AA⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸-4590↙NaN=⫖↰⪸-4590","layer":1},{"info":"⫖↰⪸2702⨰⫖↰⪸A4A=⫖↰⪸1882","layer":3},{"info":"⫖↰⪸1027⇋≉=⫖↰⪸1B90","layer":3},{"info":"⫖↰⪸1882⊉≛↸⫖↰⪸1B90=⫖↰⪸3544","layer":2},{"info":"⫖↰⪸41A2≋⫹=⫖↰⪸-8384","layer":3},{"info":"⊙↵-⫖↰⪸-8384=⫖↰⪸144","layer":2},{"info":"⫖↰⪸3544/⫖↰⪸144=⫖↰⪸26","layer":1},{"info":"⫖↰⪸-4590∲⫓⫖↰⪸26=⫖↰⪸-4590","layer":0}]}
{"id":480,"expression_no_base_symbol":"(⨵≀≌$6396$⨪↰⇹$2952$⋝⋈⪟($9089$⩨$2409$))↛⩡⫤","expression":"(⨵≀≌⫖↰⪸3850⨪↰⇹⫖↰⪸1860⋝⋈⪟(⫖↰⪸5315⩨⫖↰⪸1489))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":64086,"operation_count":5,"complexity_ratio":12817.2,"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":6396,"base":12},"right_expr":{"type":"numeric_atoms","value":2952,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":9089,"base":12},"right_expr":{"type":"numeric_atoms","value":2409,"base":12}}}}},"used_operators":["FU0Cs4j7VP","srAu1WTS94","2DDjHMKMc0","tmPS8pqC7x","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸4AB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6396","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=6396, right_input=2952, 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=6396","layer":3},{"info":"number node, value=9089","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=9089, right_input=2409, 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=6396, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6396","layer":2},{"info":"compute unary expreesion, input=6396, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-19188","layer":1},{"info":"compute unary expreesion, input=-19188, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=707","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌⫖↰⪸3850⨪↰⇹⫖↰⪸1860⋝⋈⪟(⫖↰⪸5315⩨⫖↰⪸1489))↛⩡⫤=⫖↰⪸4AB","reverse_text":"⫖↰⪸4AB=(⨵≀≌⫖↰⪸3850⨪↰⇹⫖↰⪸1860⋝⋈⪟(⫖↰⪸5315⩨⫖↰⪸1489))↛⩡⫤","cot":[{"info":"⫖↰⪸3850⨪↰⇹⫖↰⪸1860=⫖↰⪸3850","layer":3},{"info":"⫖↰⪸5315⩨⫖↰⪸1489=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3850⋝⋈⪟⫖↰⪸0=⫖↰⪸3850","layer":2},{"info":"⨵≀≌⫖↰⪸3850=⫖↰⪸-B130","layer":1},{"info":"⫖↰⪸-B130↛⩡⫤=⫖↰⪸4AB","layer":0}]}
{"id":481,"expression_no_base_symbol":"≦∁((($2864$↛⩡⫤)⨁⊸⫻)⨵⪆($3321$⩷∴$2550$)⨪↰⇹(≦∁$2364$))","expression":"≦∁(((⫖↰⪸17A8↛⩡⫤)⨁⊸⫻)⨵⪆(⫖↰⪸1B09⩷∴⫖↰⪸1586)⨪↰⇹(≦∁⫖↰⪸1450))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10271,"operation_count":7,"complexity_ratio":1467.2857142857142,"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":2864,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3321,"base":12},"right_expr":{"type":"numeric_atoms","value":2550,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2364,"base":12}}}}},"used_operators":["9ICcGScMcE","2DQ55sFlQl","glklzrTFfD","FU0Cs4j7VP","tmPS8pqC7x","9FxExcQeMw"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rJVOvQCfKK","rysDP5nf3Z"],"result":"⫖↰⪸-1368","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2864","layer":4},{"info":"compute unary expreesion, input=2864, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-428553","layer":3},{"info":"compute unary expreesion, input=-428553, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-857106","layer":2},{"info":"number node, value=3321","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=2550, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1510","layer":3},{"info":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2364","layer":3},{"info":"compute binary expreesion, left_input=1510, right_input=2364, 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=1510","layer":2},{"info":"compute binary expreesion, left_input=-857106, right_input=1510, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":0}],"base":12,"result_base":12,"text":"≦∁(((⫖↰⪸17A8↛⩡⫤)⨁⊸⫻)⨵⪆(⫖↰⪸1B09⩷∴⫖↰⪸1586)⨪↰⇹(≦∁⫖↰⪸1450))=⫖↰⪸-1368","reverse_text":"⫖↰⪸-1368=≦∁(((⫖↰⪸17A8↛⩡⫤)⨁⊸⫻)⨵⪆(⫖↰⪸1B09⩷∴⫖↰⪸1586)⨪↰⇹(≦∁⫖↰⪸1450))","cot":[{"info":"⫖↰⪸17A8↛⩡⫤=⫖↰⪸-188009","layer":3},{"info":"⫖↰⪸-188009⨁⊸⫻=⫖↰⪸-354016","layer":2},{"info":"⫖↰⪸1B09⩷∴⫖↰⪸1586=⫖↰⪸A5A","layer":3},{"info":"≦∁⫖↰⪸1450=⫖↰⪸1450","layer":3},{"info":"⫖↰⪸A5A⨪↰⇹⫖↰⪸1450=⫖↰⪸A5A","layer":2},{"info":"⫖↰⪸-354016⨵⪆⫖↰⪸A5A=⫖↰⪸114","layer":1},{"info":"≦∁⫖↰⪸114=⫖↰⪸-1368","layer":0}]}
{"id":482,"expression_no_base_symbol":"((≉$1425$⨳⩥⨓$1458$)⋷(⨈⫕$9008$)⩷∴($3426$⊭↱$7114$))↙($3020$⪘⫢$2563$⋝⋈⪟(↽≂$1075$)⇼⇔∾(($6365$⪨≂$2717$)≣⋋))","expression":"((≉⫖↰⪸9A9⨳⩥⨓⫖↰⪸A16)⋷(⨈⫕⫖↰⪸5268)⩷∴(⫖↰⪸1B96⊭↱⫖↰⪸414A))↙(⫖↰⪸18B8⪘⫢⫖↰⪸1597⋝⋈⪟(↽≂⫖↰⪸757)⇼⇔∾((⫖↰⪸3825⪨≂⫖↰⪸16A5)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":948,"operation_count":13,"complexity_ratio":72.92307692307692,"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":1425,"base":12},"right_expr":{"type":"numeric_atoms","value":1458,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":9008,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3426,"base":12},"right_expr":{"type":"numeric_atoms","value":7114,"base":12}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3020,"base":12},"right_expr":{"type":"numeric_atoms","value":2563,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1075,"base":12}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6365,"base":12},"right_expr":{"type":"numeric_atoms","value":2717,"base":12}}}}},"used_operators":["yyfyN0ffXY","23Mk6UjR3U","e1ybzncUwg","nCS4ZIUYfx","9FxExcQeMw","megm06wKyl","COABgblf1C","tifHPKVTfV","2DDjHMKMc0","oacrs7FA3X","u6S6b8DprG","Tcnh7f0tEr","sdazOOVcIp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7A0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1425","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=1458, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=33","layer":3},{"info":"compute unary expreesion, input=33, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=564","layer":2},{"info":"number node, value=9008","layer":4},{"info":"compute unary expreesion, input=9008, 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=3426","layer":4},{"info":"number node, value=7114","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=7114, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7381","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=7381, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-14836","layer":2},{"info":"compute binary expreesion, left_input=564, right_input=-14836, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1128","layer":1},{"info":"number node, value=3020","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=2563, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5916","layer":3},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2150","layer":3},{"info":"compute binary expreesion, left_input=5916, right_input=-2150, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5916","layer":2},{"info":"number node, value=6365","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=6365, right_input=2717, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7398","layer":3},{"info":"compute unary expreesion, input=7398, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5916, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5916","layer":1},{"info":"compute binary expreesion, left_input=-1128, right_input=-5916, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1128","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸9A9⨳⩥⨓⫖↰⪸A16)⋷(⨈⫕⫖↰⪸5268)⩷∴(⫖↰⪸1B96⊭↱⫖↰⪸414A))↙(⫖↰⪸18B8⪘⫢⫖↰⪸1597⋝⋈⪟(↽≂⫖↰⪸757)⇼⇔∾((⫖↰⪸3825⪨≂⫖↰⪸16A5)≣⋋))=⫖↰⪸-7A0","reverse_text":"⫖↰⪸-7A0=((≉⫖↰⪸9A9⨳⩥⨓⫖↰⪸A16)⋷(⨈⫕⫖↰⪸5268)⩷∴(⫖↰⪸1B96⊭↱⫖↰⪸414A))↙(⫖↰⪸18B8⪘⫢⫖↰⪸1597⋝⋈⪟(↽≂⫖↰⪸757)⇼⇔∾((⫖↰⪸3825⪨≂⫖↰⪸16A5)≣⋋))","cot":[{"info":"⫖↰⪸9A9⨳⩥⨓⫖↰⪸A16=⫖↰⪸29","layer":3},{"info":"≉⫖↰⪸29=⫖↰⪸3B0","layer":2},{"info":"⨈⫕⫖↰⪸5268=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1B96⊭↱⫖↰⪸414A=⫖↰⪸4331","layer":3},{"info":"⫖↰⪸-19⩷∴⫖↰⪸4331=⫖↰⪸-8704","layer":2},{"info":"⫖↰⪸3B0⋷⫖↰⪸-8704=⫖↰⪸-7A0","layer":1},{"info":"⫖↰⪸18B8⪘⫢⫖↰⪸1597=⫖↰⪸3510","layer":3},{"info":"↽≂⫖↰⪸757=⫖↰⪸-12B2","layer":3},{"info":"⫖↰⪸3510⋝⋈⪟⫖↰⪸-12B2=⫖↰⪸3510","layer":2},{"info":"⫖↰⪸3825⪨≂⫖↰⪸16A5=⫖↰⪸4346","layer":3},{"info":"⫖↰⪸4346≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3510⇼⇔∾⫖↰⪸0=⫖↰⪸-3510","layer":1},{"info":"⫖↰⪸-7A0↙⫖↰⪸-3510=⫖↰⪸-7A0","layer":0}]}
{"id":483,"expression_no_base_symbol":"((($4579$⫸⊐$2362$)⨐⩸⫘($4409$↺$5171$))⨓($3947$+⇶⊼$3610$)∀⇚≩($1399$⨽$1036$))⪢((($2160$∲⫓$2169$)⩠)↛⩡⫤)","expression":"(((⫖↰⪸2797⫸⊐⫖↰⪸144A)⨐⩸⫘(⫖↰⪸2675↺⫖↰⪸2BAB))⨓(⫖↰⪸234B+⇶⊼⫖↰⪸210A)∀⇚≩(⫖↰⪸987⨽⫖↰⪸724))⪢(((⫖↰⪸1300∲⫓⫖↰⪸1309)⩠)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1528,"operation_count":11,"complexity_ratio":138.9090909090909,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4579,"base":12},"right_expr":{"type":"numeric_atoms","value":2362,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4409,"base":12},"right_expr":{"type":"numeric_atoms","value":5171,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3947,"base":12},"right_expr":{"type":"numeric_atoms","value":3610,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2160,"base":12},"right_expr":{"type":"numeric_atoms","value":2169,"base":12}}}}},"used_operators":["dWAJyo7jo9","3ViojmjbAp","fu6greOZ01","mqXw5SEYmG","7j4O788W3g","LRNGc0VcxI","TpPTUOHfaN","8HhzD0ZcuI","FU0Cs4j7VP","sJAwomhLZr","i8ToyICDmI"],"dependent_operators":["k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4579","layer":4},{"info":"number node, value=2362","layer":4},{"info":"compute binary expreesion, left_input=4579, right_input=2362, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9323","layer":3},{"info":"number node, value=4409","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=5171, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5171","layer":3},{"info":"compute binary expreesion, left_input=9323, right_input=5171, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3947","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=3947, right_input=3610, 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=1399","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1036, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5873397","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5873397, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2160","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=2169, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2797⫸⊐⫖↰⪸144A)⨐⩸⫘(⫖↰⪸2675↺⫖↰⪸2BAB))⨓(⫖↰⪸234B+⇶⊼⫖↰⪸210A)∀⇚≩(⫖↰⪸987⨽⫖↰⪸724))⪢(((⫖↰⪸1300∲⫓⫖↰⪸1309)⩠)↛⩡⫤)=NaN","reverse_text":"NaN=(((⫖↰⪸2797⫸⊐⫖↰⪸144A)⨐⩸⫘(⫖↰⪸2675↺⫖↰⪸2BAB))⨓(⫖↰⪸234B+⇶⊼⫖↰⪸210A)∀⇚≩(⫖↰⪸987⨽⫖↰⪸724))⪢(((⫖↰⪸1300∲⫓⫖↰⪸1309)⩠)↛⩡⫤)","cot":[{"info":"⫖↰⪸2797⫸⊐⫖↰⪸144A=⫖↰⪸548B","layer":3},{"info":"⫖↰⪸2675↺⫖↰⪸2BAB=⫖↰⪸2BAB","layer":3},{"info":"⫖↰⪸548B⨐⩸⫘⫖↰⪸2BAB=NaN","layer":2},{"info":"⫖↰⪸234B+⇶⊼⫖↰⪸210A=NaN","layer":3},{"info":"⫖↰⪸987⨽⫖↰⪸724=⫖↰⪸-1B72B59","layer":3},{"info":"NaN∀⇚≩⫖↰⪸-1B72B59=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⫖↰⪸1300∲⫓⫖↰⪸1309=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩠=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"(⊙↵-($3102$*$1659$⨵⪆(≉$1035$)))↬($4632$⇷$1193$⊉≛↸(⪝⪂⫅$6485$)*(⊥(⨈⫕$7160$)))","expression":"(⊙↵-(⫖↰⪸1966*⫖↰⪸B63⨵⪆(≉⫖↰⪸723)))↬(⫖↰⪸2820⇷⫖↰⪸835⊉≛↸(⪝⪂⫅⫖↰⪸3905)*(⊥(⨈⫕⫖↰⪸4188)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":67832,"operation_count":11,"complexity_ratio":6166.545454545455,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3102,"base":12},"right_expr":{"type":"numeric_atoms","value":1659,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1035,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4632,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6485,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7160,"base":12}}}}},"used_operators":["B5M0gjZbta","oWn0xqSxBt","2DQ55sFlQl","9HNa5Wba9A","e1ybzncUwg","DZ8iAZOCBD","mp7IySMOzn","XTarYq4gQB","Q3PJZHRvZv","megm06wKyl"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸56340","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3102","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=1659, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5146218","layer":3},{"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":"compute binary expreesion, left_input=5146218, right_input=1566, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=4632","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4632, right_input=1193, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2386","layer":3},{"info":"number node, value=6485","layer":4},{"info":"compute unary expreesion, input=6485, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-953295","layer":3},{"info":"compute binary expreesion, left_input=2386, right_input=-953295, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4772","layer":2},{"info":"number node, value=7160","layer":4},{"info":"compute unary expreesion, input=7160, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=24","layer":2},{"info":"compute binary expreesion, left_input=4772, right_input=24, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=114528","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=114528, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=114528","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-(⫖↰⪸1966*⫖↰⪸B63⨵⪆(≉⫖↰⪸723)))↬(⫖↰⪸2820⇷⫖↰⪸835⊉≛↸(⪝⪂⫅⫖↰⪸3905)*(⊥(⨈⫕⫖↰⪸4188)))=⫖↰⪸56340","reverse_text":"⫖↰⪸56340=(⊙↵-(⫖↰⪸1966*⫖↰⪸B63⨵⪆(≉⫖↰⪸723)))↬(⫖↰⪸2820⇷⫖↰⪸835⊉≛↸(⪝⪂⫅⫖↰⪸3905)*(⊥(⨈⫕⫖↰⪸4188)))","cot":[{"info":"⫖↰⪸1966*⫖↰⪸B63=⫖↰⪸1882176","layer":3},{"info":"≉⫖↰⪸723=⫖↰⪸AA6","layer":3},{"info":"⫖↰⪸1882176⨵⪆⫖↰⪸AA6=⫖↰⪸114","layer":2},{"info":"⊙↵-⫖↰⪸114=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2820⇷⫖↰⪸835=⫖↰⪸146A","layer":3},{"info":"⪝⪂⫅⫖↰⪸3905=⫖↰⪸-39B813","layer":3},{"info":"⫖↰⪸146A⊉≛↸⫖↰⪸-39B813=⫖↰⪸2918","layer":2},{"info":"⨈⫕⫖↰⪸4188=⫖↰⪸-19","layer":3},{"info":"⊥⫖↰⪸-19=⫖↰⪸20","layer":2},{"info":"⫖↰⪸2918*⫖↰⪸20=⫖↰⪸56340","layer":1},{"info":"⫖↰⪸0↬⫖↰⪸56340=⫖↰⪸56340","layer":0}]}
{"id":485,"expression_no_base_symbol":"(($1001$/$5103$)⨁⊸⫻)⩚⊴⇥(↔($4759$⪨≂$4112$))⋳⪒(⨰⫟⨤($2184$+⇶⊼$1674$⩚⊴⇥($1916$+⇶⊼$1198$)))","expression":"((⫖↰⪸6B5/⫖↰⪸2B53)⨁⊸⫻)⩚⊴⇥(↔(⫖↰⪸2907⪨≂⫖↰⪸2468))⋳⪒(⨰⫟⨤(⫖↰⪸1320+⇶⊼⫖↰⪸B76⩚⊴⇥(⫖↰⪸1138+⇶⊼⫖↰⪸83A)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":10,"complexity_ratio":6.0,"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":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":5103,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4759,"base":12},"right_expr":{"type":"numeric_atoms","value":4112,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2184,"base":12},"right_expr":{"type":"numeric_atoms","value":1674,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1916,"base":12},"right_expr":{"type":"numeric_atoms","value":1198,"base":12}}}}},"used_operators":["12rbrZMWeM","NTOWxs364D","glklzrTFfD","XhwjNDsVaA","ruOEQAzv1W","sdazOOVcIp","Tw270M8GLb","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5103, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"number node, value=4759","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=4759, right_input=4112, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1396","layer":3},{"info":"compute unary expreesion, input=1396, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1123","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1123, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1002","layer":1},{"info":"number node, value=2184","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=1674, 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=1916","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=1198, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1002, right_input=nan, 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":"((⫖↰⪸6B5/⫖↰⪸2B53)⨁⊸⫻)⩚⊴⇥(↔(⫖↰⪸2907⪨≂⫖↰⪸2468))⋳⪒(⨰⫟⨤(⫖↰⪸1320+⇶⊼⫖↰⪸B76⩚⊴⇥(⫖↰⪸1138+⇶⊼⫖↰⪸83A)))=NaN","reverse_text":"NaN=((⫖↰⪸6B5/⫖↰⪸2B53)⨁⊸⫻)⩚⊴⇥(↔(⫖↰⪸2907⪨≂⫖↰⪸2468))⋳⪒(⨰⫟⨤(⫖↰⪸1320+⇶⊼⫖↰⪸B76⩚⊴⇥(⫖↰⪸1138+⇶⊼⫖↰⪸83A)))","cot":[{"info":"⫖↰⪸6B5/⫖↰⪸2B53=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨁⊸⫻=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2907⪨≂⫖↰⪸2468=⫖↰⪸984","layer":3},{"info":"↔⫖↰⪸984=⫖↰⪸-797","layer":2},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸-797=⫖↰⪸6B6","layer":1},{"info":"⫖↰⪸1320+⇶⊼⫖↰⪸B76=NaN","layer":3},{"info":"⫖↰⪸1138+⇶⊼⫖↰⪸83A=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸6B6⋳⪒NaN=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"(($9347$%$3147$)∀⇚≩($6761$⩨$3223$)⋓((⨰⫟⨤$1014$)*$1152$∑⇟⊟$1271$))⪮%⊝((⨞⊢$4762$⨪↰⇹$5898$)⫩⊇)","expression":"((⫖↰⪸54AB%⫖↰⪸19A3)∀⇚≩(⫖↰⪸3AB5⩨⫖↰⪸1A47)⋓((⨰⫟⨤⫖↰⪸706)*⫖↰⪸800∑⇟⊟⫖↰⪸89B))⪮%⊝((⨞⊢⫖↰⪸290A⨪↰⇹⫖↰⪸34B6)⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29383,"operation_count":11,"complexity_ratio":2671.181818181818,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":9347,"base":12},"right_expr":{"type":"numeric_atoms","value":3147,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6761,"base":12},"right_expr":{"type":"numeric_atoms","value":3223,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1014,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1152,"base":12},"right_expr":{"type":"numeric_atoms","value":1271,"base":12}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4762,"base":12},"right_expr":{"type":"numeric_atoms","value":5898,"base":12}}}}},"used_operators":["IWmyXbctLI","T2fj7uvVaJ","LRNGc0VcxI","k8jYdgA6NY","2DlMacCsIx","9HNa5Wba9A","Tw270M8GLb","U7g4x0WXJJ","BjRHVeLaeN","xUOZtlo3hN","tmPS8pqC7x"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9347","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=9347, right_input=3147, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3053","layer":3},{"info":"number node, value=6761","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=6761, right_input=3223, 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=3053, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1271, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=4762","layer":4},{"info":"number node, value=5898","layer":4},{"info":"compute binary expreesion, left_input=4762, right_input=5898, 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=4762","layer":3},{"info":"compute unary expreesion, input=4762, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4936","layer":2},{"info":"compute unary expreesion, input=-4936, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4978","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4978, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸54AB%⫖↰⪸19A3)∀⇚≩(⫖↰⪸3AB5⩨⫖↰⪸1A47)⋓((⨰⫟⨤⫖↰⪸706)*⫖↰⪸800∑⇟⊟⫖↰⪸89B))⪮%⊝((⨞⊢⫖↰⪸290A⨪↰⇹⫖↰⪸34B6)⫩⊇)=NaN","reverse_text":"NaN=((⫖↰⪸54AB%⫖↰⪸19A3)∀⇚≩(⫖↰⪸3AB5⩨⫖↰⪸1A47)⋓((⨰⫟⨤⫖↰⪸706)*⫖↰⪸800∑⇟⊟⫖↰⪸89B))⪮%⊝((⨞⊢⫖↰⪸290A⨪↰⇹⫖↰⪸34B6)⫩⊇)","cot":[{"info":"⫖↰⪸54AB%⫖↰⪸19A3=⫖↰⪸1925","layer":3},{"info":"⫖↰⪸3AB5⩨⫖↰⪸1A47=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1925∀⇚≩⫖↰⪸0=NaN","layer":2},{"info":"⨰⫟⨤⫖↰⪸706=NaN","layer":3},{"info":"⫖↰⪸800∑⇟⊟⫖↰⪸89B=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫖↰⪸290A⨪↰⇹⫖↰⪸34B6=⫖↰⪸290A","layer":3},{"info":"⨞⊢⫖↰⪸290A=⫖↰⪸-2A34","layer":2},{"info":"⫖↰⪸-2A34⫩⊇=⫖↰⪸2A6A","layer":1},{"info":"NaN⪮%⊝⫖↰⪸2A6A=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"((($1845$⨁⊸⫻)⪨≂($3074$∧))↺$3530$⨓$2278$⨓($1099$%$1013$))⋓($2105$≹⇙⪍$5145$∑⇟⊟$1499$⇷$2444$⫸⊐(($3086$⨳⩥⨓$1063$)⊪))","expression":"(((⫖↰⪸1099⨁⊸⫻)⪨≂(⫖↰⪸1942∧))↺⫖↰⪸2062⨓⫖↰⪸139A⨓(⫖↰⪸777%⫖↰⪸705))⋓(⫖↰⪸1275≹⇙⪍⫖↰⪸2B89∑⇟⊟⫖↰⪸A4B⇷⫖↰⪸14B8⫸⊐((⫖↰⪸1952⨳⩥⨓⫖↰⪸747)⊪))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29491,"operation_count":14,"complexity_ratio":2106.5,"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":1845,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3074,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3530,"base":12},"right_expr":{"type":"numeric_atoms","value":2278,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1099,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2105,"base":12},"right_expr":{"type":"numeric_atoms","value":5145,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1499,"base":12},"right_expr":{"type":"numeric_atoms","value":2444,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3086,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}}}},"used_operators":["T2fj7uvVaJ","7j4O788W3g","sdazOOVcIp","glklzrTFfD","z63VuFQld9","3ViojmjbAp","k8jYdgA6NY","mqXw5SEYmG","U7g4x0WXJJ","AHs5Up7iyr","mp7IySMOzn","zVYPLywUTj","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"compute unary expreesion, input=1845, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1845","layer":3},{"info":"number node, value=3074","layer":4},{"info":"compute unary expreesion, input=3074, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1845, 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=3530","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=2278, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2281","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1013, op_id = k8jYdgA6NY binary_op_definition= 'None', output=86","layer":3},{"info":"compute binary expreesion, left_input=-2281, right_input=86, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-89","layer":1},{"info":"number node, value=2105","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=5145, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1499","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=2444, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4888","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4888, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3086","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=1063, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2023","layer":3},{"info":"compute unary expreesion, input=-2023, 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=41160380","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=41160380, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1099⨁⊸⫻)⪨≂(⫖↰⪸1942∧))↺⫖↰⪸2062⨓⫖↰⪸139A⨓(⫖↰⪸777%⫖↰⪸705))⋓(⫖↰⪸1275≹⇙⪍⫖↰⪸2B89∑⇟⊟⫖↰⪸A4B⇷⫖↰⪸14B8⫸⊐((⫖↰⪸1952⨳⩥⨓⫖↰⪸747)⊪))=NaN","reverse_text":"NaN=(((⫖↰⪸1099⨁⊸⫻)⪨≂(⫖↰⪸1942∧))↺⫖↰⪸2062⨓⫖↰⪸139A⨓(⫖↰⪸777%⫖↰⪸705))⋓(⫖↰⪸1275≹⇙⪍⫖↰⪸2B89∑⇟⊟⫖↰⪸A4B⇷⫖↰⪸14B8⫸⊐((⫖↰⪸1952⨳⩥⨓⫖↰⪸747)⊪))","cot":[{"info":"⫖↰⪸1099⨁⊸⫻=⫖↰⪸1099","layer":3},{"info":"⫖↰⪸1942∧=NaN","layer":3},{"info":"⫖↰⪸1099⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸2062⨓⫖↰⪸139A=⫖↰⪸-13A1","layer":3},{"info":"⫖↰⪸777%⫖↰⪸705=⫖↰⪸72","layer":3},{"info":"⫖↰⪸-13A1⨓⫖↰⪸72=⫖↰⪸-75","layer":2},{"info":"NaN↺⫖↰⪸-75=⫖↰⪸-75","layer":1},{"info":"⫖↰⪸1275≹⇙⪍⫖↰⪸2B89=NaN","layer":3},{"info":"⫖↰⪸A4B⇷⫖↰⪸14B8=⫖↰⪸29B4","layer":3},{"info":"NaN∑⇟⊟⫖↰⪸29B4=NaN","layer":2},{"info":"⫖↰⪸1952⨳⩥⨓⫖↰⪸747=⫖↰⪸-1207","layer":3},{"info":"⫖↰⪸-1207⊪=⫖↰⪸1194B7B8","layer":2},{"info":"NaN⫸⊐⫖↰⪸1194B7B8=NaN","layer":1},{"info":"⫖↰⪸-75⋓NaN=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"≤/($2755$⪘⫢$2321$⊭↱$6544$↺$1443$)∼(⫛⫱⨽(⫓⪴$1873$))","expression":"≤/(⫖↰⪸1717⪘⫢⫖↰⪸1415⊭↱⫖↰⪸3954↺⫖↰⪸A03)∼(⫛⫱⨽(⫓⪴⫖↰⪸1101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3494,"operation_count":7,"complexity_ratio":499.14285714285717,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2755,"base":12},"right_expr":{"type":"numeric_atoms","value":2321,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6544,"base":12},"right_expr":{"type":"numeric_atoms","value":1443,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1873,"base":12}}}}},"used_operators":["eLAdDNolq6","DyGG3AbaNP","COABgblf1C","oacrs7FA3X","7j4O788W3g","DlLNRPXxWL","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A"],"result":"⫖↰⪸328","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2755","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=2321, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5386","layer":3},{"info":"number node, value=6544","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=6544, right_input=1443, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1443","layer":3},{"info":"compute binary expreesion, left_input=5386, right_input=1443, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7881","layer":2},{"info":"number node, value=1873","layer":4},{"info":"compute unary expreesion, input=1873, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3508129","layer":3},{"info":"compute unary expreesion, input=3508129, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-7881, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=464","layer":0}],"base":12,"result_base":12,"text":"≤/(⫖↰⪸1717⪘⫢⫖↰⪸1415⊭↱⫖↰⪸3954↺⫖↰⪸A03)∼(⫛⫱⨽(⫓⪴⫖↰⪸1101))=⫖↰⪸328","reverse_text":"⫖↰⪸328=≤/(⫖↰⪸1717⪘⫢⫖↰⪸1415⊭↱⫖↰⪸3954↺⫖↰⪸A03)∼(⫛⫱⨽(⫓⪴⫖↰⪸1101))","cot":[{"info":"⫖↰⪸1717⪘⫢⫖↰⪸1415=⫖↰⪸314A","layer":3},{"info":"⫖↰⪸3954↺⫖↰⪸A03=⫖↰⪸A03","layer":3},{"info":"⫖↰⪸314A⊭↱⫖↰⪸A03=⫖↰⪸-4689","layer":2},{"info":"⫓⪴⫖↰⪸1101=⫖↰⪸1212201","layer":3},{"info":"⫛⫱⨽⫖↰⪸1212201=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-4689∼⫖↰⪸0=⫖↰⪸18","layer":1},{"info":"≤/⫖↰⪸18=⫖↰⪸328","layer":0}]}
{"id":489,"expression_no_base_symbol":"($3023$⫡⨏$1245$+($5926$⇋≉)⨵⪆$8460$≭$2245$⩨$2675$∑⇟⊟$3757$)⪄(⩦⩻⨪$1467$⪘⫢$2044$)≹⇙⪍(($2510$%$3540$)⪮%⊝($2516$≎⊠⪸$3563$))","expression":"(⫖↰⪸18BB⫡⨏⫖↰⪸879+(⫖↰⪸351A⇋≉)⨵⪆⫖↰⪸4A90≭⫖↰⪸1371⩨⫖↰⪸166B∑⇟⊟⫖↰⪸2211)⪄(⩦⩻⨪⫖↰⪸A23⪘⫢⫖↰⪸1224)≹⇙⪍((⫖↰⪸1552%⫖↰⪸2070)⪮%⊝(⫖↰⪸1558≎⊠⪸⫖↰⪸208B))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":411,"operation_count":14,"complexity_ratio":29.357142857142858,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3023,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5926,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8460,"base":12},"right_expr":{"type":"numeric_atoms","value":2245,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2675,"base":12},"right_expr":{"type":"numeric_atoms","value":3757,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1467,"base":12},"right_expr":{"type":"numeric_atoms","value":2044,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2510,"base":12},"right_expr":{"type":"numeric_atoms","value":3540,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2516,"base":12},"right_expr":{"type":"numeric_atoms","value":3563,"base":12}}}}},"used_operators":["SUmda5xLS4","2DQ55sFlQl","W4YGzv6Whe","QMFrweE19q","XIabStNQrY","2DlMacCsIx","rxpJgHHUmx","U7g4x0WXJJ","AHs5Up7iyr","2td37pGCOC","oacrs7FA3X","IWmyXbctLI","k8jYdgA6NY","bJkvcejdHO"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3023","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1245, 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=18388","layer":3},{"info":"number node, value=5926","layer":4},{"info":"compute unary expreesion, input=5926, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11754","layer":3},{"info":"compute binary expreesion, left_input=18388, right_input=11754, op_id = W4YGzv6Whe binary_op_definition= 'None', output=30142","layer":2},{"info":"number node, value=8460","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=8460, right_input=2245, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2675","layer":4},{"info":"number node, value=3757","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=3757, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=30142, 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=1467","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=2044, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2810","layer":3},{"info":"compute unary expreesion, input=2810, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2810","layer":2},{"info":"number node, value=2510","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=3540, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2510","layer":3},{"info":"number node, value=2516","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=3563, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=651171","layer":3},{"info":"compute binary expreesion, left_input=2510, right_input=651171, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5336","layer":2},{"info":"compute binary expreesion, left_input=2810, right_input=5336, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":"(⫖↰⪸18BB⫡⨏⫖↰⪸879+(⫖↰⪸351A⇋≉)⨵⪆⫖↰⪸4A90≭⫖↰⪸1371⩨⫖↰⪸166B∑⇟⊟⫖↰⪸2211)⪄(⩦⩻⨪⫖↰⪸A23⪘⫢⫖↰⪸1224)≹⇙⪍((⫖↰⪸1552%⫖↰⪸2070)⪮%⊝(⫖↰⪸1558≎⊠⪸⫖↰⪸208B))=NaN","reverse_text":"NaN=(⫖↰⪸18BB⫡⨏⫖↰⪸879+(⫖↰⪸351A⇋≉)⨵⪆⫖↰⪸4A90≭⫖↰⪸1371⩨⫖↰⪸166B∑⇟⊟⫖↰⪸2211)⪄(⩦⩻⨪⫖↰⪸A23⪘⫢⫖↰⪸1224)≹⇙⪍((⫖↰⪸1552%⫖↰⪸2070)⪮%⊝(⫖↰⪸1558≎⊠⪸⫖↰⪸208B))","cot":[{"info":"⫖↰⪸18BB⫡⨏⫖↰⪸879=⫖↰⪸A784","layer":3},{"info":"⫖↰⪸351A⇋≉=⫖↰⪸6976","layer":3},{"info":"⫖↰⪸A784+⫖↰⪸6976=⫖↰⪸1553A","layer":2},{"info":"⫖↰⪸4A90≭⫖↰⪸1371=NaN","layer":3},{"info":"⫖↰⪸166B∑⇟⊟⫖↰⪸2211=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⫖↰⪸1553A⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸A23⪘⫢⫖↰⪸1224=⫖↰⪸1762","layer":3},{"info":"⩦⩻⨪⫖↰⪸1762=⫖↰⪸1762","layer":2},{"info":"⫖↰⪸1552%⫖↰⪸2070=⫖↰⪸1552","layer":3},{"info":"⫖↰⪸1558≎⊠⪸⫖↰⪸208B=⫖↰⪸274A03","layer":3},{"info":"⫖↰⪸1552⪮%⊝⫖↰⪸274A03=⫖↰⪸3108","layer":2},{"info":"⫖↰⪸1762≹⇙⪍⫖↰⪸3108=NaN","layer":1},{"info":"⫖↰⪸114⪄NaN=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"(($2857$≭$8131$⪨≂$5668$⋝⋈⪟$1047$)-$1190$⨪↰⇹$4486$⨎(⨰⫟⨤$4076$))⊭↱($1384$≹⇙⪍$1776$⨽$2726$∑⇟⊟$1661$+(⫛⫱⨽$1824$)⋳⪒$1591$⋝⋈⪟$2100$)","expression":"((⫖↰⪸17A1≭⫖↰⪸4857⪨≂⫖↰⪸3344⋝⋈⪟⫖↰⪸733)-⫖↰⪸832⨪↰⇹⫖↰⪸271A⨎(⨰⫟⨤⫖↰⪸2438))⊭↱(⫖↰⪸974≹⇙⪍⫖↰⪸1040⨽⫖↰⪸16B2∑⇟⊟⫖↰⪸B65+(⫛⫱⨽⫖↰⪸1080)⋳⪒⫖↰⪸B07⋝⋈⪟⫖↰⪸1270)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18116,"operation_count":15,"complexity_ratio":1207.7333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2857,"base":12},"right_expr":{"type":"numeric_atoms","value":8131,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5668,"base":12},"right_expr":{"type":"numeric_atoms","value":1047,"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":4486,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4076,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1384,"base":12},"right_expr":{"type":"numeric_atoms","value":1776,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2726,"base":12},"right_expr":{"type":"numeric_atoms","value":1661,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1824,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1591,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"base":12}}}}},"used_operators":["COABgblf1C","rysDP5nf3Z","sdazOOVcIp","rxpJgHHUmx","2DDjHMKMc0","rJVOvQCfKK","tmPS8pqC7x","Tw270M8GLb","W4YGzv6Whe","8HhzD0ZcuI","AHs5Up7iyr","U7g4x0WXJJ","12rbrZMWeM","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2857","layer":4},{"info":"number node, value=8131","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=8131, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5668","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=5668, right_input=1047, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5668","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5668, op_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=1190","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=4486, 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=1190","layer":3},{"info":"number node, value=4076","layer":4},{"info":"compute unary expreesion, input=4076, 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=1190, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1776, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2726","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=1661, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1824","layer":4},{"info":"compute unary expreesion, input=1824, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1591","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=2100, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1591","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1591, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1878","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1878, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸17A1≭⫖↰⪸4857⪨≂⫖↰⪸3344⋝⋈⪟⫖↰⪸733)-⫖↰⪸832⨪↰⇹⫖↰⪸271A⨎(⨰⫟⨤⫖↰⪸2438))⊭↱(⫖↰⪸974≹⇙⪍⫖↰⪸1040⨽⫖↰⪸16B2∑⇟⊟⫖↰⪸B65+(⫛⫱⨽⫖↰⪸1080)⋳⪒⫖↰⪸B07⋝⋈⪟⫖↰⪸1270)=NaN","reverse_text":"NaN=((⫖↰⪸17A1≭⫖↰⪸4857⪨≂⫖↰⪸3344⋝⋈⪟⫖↰⪸733)-⫖↰⪸832⨪↰⇹⫖↰⪸271A⨎(⨰⫟⨤⫖↰⪸2438))⊭↱(⫖↰⪸974≹⇙⪍⫖↰⪸1040⨽⫖↰⪸16B2∑⇟⊟⫖↰⪸B65+(⫛⫱⨽⫖↰⪸1080)⋳⪒⫖↰⪸B07⋝⋈⪟⫖↰⪸1270)","cot":[{"info":"⫖↰⪸17A1≭⫖↰⪸4857=NaN","layer":3},{"info":"⫖↰⪸3344⋝⋈⪟⫖↰⪸733=⫖↰⪸3344","layer":3},{"info":"NaN⪨≂⫖↰⪸3344=NaN","layer":2},{"info":"⫖↰⪸832⨪↰⇹⫖↰⪸271A=⫖↰⪸832","layer":3},{"info":"⨰⫟⨤⫖↰⪸2438=NaN","layer":3},{"info":"⫖↰⪸832⨎NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⫖↰⪸974≹⇙⪍⫖↰⪸1040=NaN","layer":3},{"info":"⫖↰⪸16B2∑⇟⊟⫖↰⪸B65=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⫛⫱⨽⫖↰⪸1080=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B07⋝⋈⪟⫖↰⪸1270=⫖↰⪸B07","layer":3},{"info":"⫖↰⪸0⋳⪒⫖↰⪸B07=⫖↰⪸-1106","layer":2},{"info":"NaN+⫖↰⪸-1106=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"((-$1604$)∼($2757$⇋≉)⫩⊇)⨽(⊙↵-($5284$⪨≂$5356$⫡⨏$1309$⊭↱$1049$))","expression":"((-⫖↰⪸B18)∼(⫖↰⪸1719⇋≉)⫩⊇)⨽(⊙↵-(⫖↰⪸3084⪨≂⫖↰⪸3124⫡⨏⫖↰⪸911⊭↱⫖↰⪸735))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":556,"operation_count":9,"complexity_ratio":61.77777777777778,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1604,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2757,"base":12}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5284,"base":12},"right_expr":{"type":"numeric_atoms","value":5356,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1309,"base":12},"right_expr":{"type":"numeric_atoms","value":1049,"base":12}}}}},"used_operators":["8HhzD0ZcuI","BjRHVeLaeN","DyGG3AbaNP","t8gj7n24qd","XIabStNQrY","oWn0xqSxBt","QMFrweE19q","sdazOOVcIp","COABgblf1C"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1604","layer":4},{"info":"compute unary expreesion, input=1604, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1604","layer":3},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5416","layer":3},{"info":"compute binary expreesion, left_input=-1604, right_input=5416, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=5284","layer":4},{"info":"number node, value=5356","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=5356, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-42","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1049, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-515","layer":3},{"info":"compute binary expreesion, left_input=-42, right_input=-515, 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=-457","layer":2},{"info":"compute unary expreesion, input=-457, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((-⫖↰⪸B18)∼(⫖↰⪸1719⇋≉)⫩⊇)⨽(⊙↵-(⫖↰⪸3084⪨≂⫖↰⪸3124⫡⨏⫖↰⪸911⊭↱⫖↰⪸735))=NaN","reverse_text":"NaN=((-⫖↰⪸B18)∼(⫖↰⪸1719⇋≉)⫩⊇)⨽(⊙↵-(⫖↰⪸3084⪨≂⫖↰⪸3124⫡⨏⫖↰⪸911⊭↱⫖↰⪸735))","cot":[{"info":"-⫖↰⪸B18=⫖↰⪸-B18","layer":3},{"info":"⫖↰⪸1719⇋≉=⫖↰⪸3174","layer":3},{"info":"⫖↰⪸-B18∼⫖↰⪸3174=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⫖↰⪸3084⪨≂⫖↰⪸3124=⫖↰⪸-36","layer":3},{"info":"⫖↰⪸911⊭↱⫖↰⪸735=⫖↰⪸-36B","layer":3},{"info":"⫖↰⪸-36⫡⨏⫖↰⪸-36B=⫖↰⪸-321","layer":2},{"info":"⊙↵-⫖↰⪸-321=⫖↰⪸144","layer":1},{"info":"NaN⨽⫖↰⪸144=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"($1572$⊴$1184$∲⫓$3315$⨐⩸⫘$1933$)⊉≛↸($1354$⊭↱$8090$)⨎($4039$⋷$3819$)⋷($2777$≭$2533$/($1007$⪨≂$3064$))⨰(∥⊫$4160$⨟⋌⩍$1716$)","expression":"(⫖↰⪸AB0⊴⫖↰⪸828∲⫓⫖↰⪸1B03⨐⩸⫘⫖↰⪸1151)⊉≛↸(⫖↰⪸94A⊭↱⫖↰⪸4822)⨎(⫖↰⪸2407⋷⫖↰⪸2263)⋷(⫖↰⪸1735≭⫖↰⪸1571/(⫖↰⪸6BB⪨≂⫖↰⪸1934))⨰(∥⊫⫖↰⪸24A8⨟⋌⩍⫖↰⪸BB0)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1434,"operation_count":14,"complexity_ratio":102.42857142857143,"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":1572,"base":12},"right_expr":{"type":"numeric_atoms","value":1184,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3315,"base":12},"right_expr":{"type":"numeric_atoms","value":1933,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1354,"base":12},"right_expr":{"type":"numeric_atoms","value":8090,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4039,"base":12},"right_expr":{"type":"numeric_atoms","value":3819,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2777,"base":12},"right_expr":{"type":"numeric_atoms","value":2533,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":3064,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4160,"base":12},"right_expr":{"type":"numeric_atoms","value":1716,"base":12}}}}},"used_operators":["23Mk6UjR3U","DZ8iAZOCBD","i8ToyICDmI","Nsiff2A1zJ","fu6greOZ01","rJVOvQCfKK","COABgblf1C","eewbuw0ToL","XhwjNDsVaA","rxpJgHHUmx","sdazOOVcIp","P8v4zCKN1o","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=1184, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3315","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=1933, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1354","layer":4},{"info":"number node, value=8090","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=8090, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=13477","layer":3},{"info":"number node, value=4039","layer":4},{"info":"number node, value=3819","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=3819, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3599","layer":3},{"info":"compute binary expreesion, left_input=13477, right_input=3599, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3599","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3599, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2777","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=2533, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1007","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=3064, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4012, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4160","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=4160, right_input=1716, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫖↰⪸AB0⊴⫖↰⪸828∲⫓⫖↰⪸1B03⨐⩸⫘⫖↰⪸1151)⊉≛↸(⫖↰⪸94A⊭↱⫖↰⪸4822)⨎(⫖↰⪸2407⋷⫖↰⪸2263)⋷(⫖↰⪸1735≭⫖↰⪸1571/(⫖↰⪸6BB⪨≂⫖↰⪸1934))⨰(∥⊫⫖↰⪸24A8⨟⋌⩍⫖↰⪸BB0)=NaN","reverse_text":"NaN=(⫖↰⪸AB0⊴⫖↰⪸828∲⫓⫖↰⪸1B03⨐⩸⫘⫖↰⪸1151)⊉≛↸(⫖↰⪸94A⊭↱⫖↰⪸4822)⨎(⫖↰⪸2407⋷⫖↰⪸2263)⋷(⫖↰⪸1735≭⫖↰⪸1571/(⫖↰⪸6BB⪨≂⫖↰⪸1934))⨰(∥⊫⫖↰⪸24A8⨟⋌⩍⫖↰⪸BB0)","cot":[{"info":"⫖↰⪸AB0⊴⫖↰⪸828=NaN","layer":3},{"info":"⫖↰⪸1B03⨐⩸⫘⫖↰⪸1151=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"⫖↰⪸94A⊭↱⫖↰⪸4822=⫖↰⪸7971","layer":3},{"info":"⫖↰⪸2407⋷⫖↰⪸2263=⫖↰⪸20BB","layer":3},{"info":"⫖↰⪸7971⨎⫖↰⪸20BB=⫖↰⪸20BB","layer":2},{"info":"NaN⊉≛↸⫖↰⪸20BB=NaN","layer":1},{"info":"⫖↰⪸1735≭⫖↰⪸1571=NaN","layer":3},{"info":"⫖↰⪸6BB⪨≂⫖↰⪸1934=⫖↰⪸-23A4","layer":3},{"info":"NaN/⫖↰⪸-23A4=NaN","layer":2},{"info":"⫖↰⪸24A8⨟⋌⩍⫖↰⪸BB0=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"((-$4483$)%$5937$⨽$1514$)∑⇟⊟(($3347$⨁⊸⫻)⨽($7205$≦≮≮))⪒($1609$≭$7970$⨐⩸⫘($7088$⨸⪁$1991$)+($7417$⊭∹↮)%(↯⪼$9331$))","expression":"((-⫖↰⪸2717)%⫖↰⪸3529⨽⫖↰⪸A62)∑⇟⊟((⫖↰⪸1B2B⨁⊸⫻)⨽(⫖↰⪸4205≦≮≮))⪒(⫖↰⪸B21≭⫖↰⪸4742⨐⩸⫘(⫖↰⪸4128⨸⪁⫖↰⪸119B)+(⫖↰⪸4361⊭∹↮)%(↯⪼⫖↰⪸5497))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10061,"operation_count":15,"complexity_ratio":670.7333333333333,"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":4483,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5937,"base":12},"right_expr":{"type":"numeric_atoms","value":1514,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3347,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7205,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1609,"base":12},"right_expr":{"type":"numeric_atoms","value":7970,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7088,"base":12},"right_expr":{"type":"numeric_atoms","value":1991,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7417,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9331,"base":12}}}}},"used_operators":["f6k1SAg4EE","U7g4x0WXJJ","k8jYdgA6NY","t8gj7n24qd","8HhzD0ZcuI","glklzrTFfD","D4vGDi5EA2","W4YGzv6Whe","fu6greOZ01","rxpJgHHUmx","g55IO6H4Gj","xNBdhnnwKq","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4483","layer":4},{"info":"compute unary expreesion, input=4483, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4483","layer":3},{"info":"number node, value=5937","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=5937, right_input=1514, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-105747135","layer":3},{"info":"compute binary expreesion, left_input=-4483, right_input=-105747135, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-4483","layer":2},{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3347","layer":3},{"info":"number node, value=7205","layer":4},{"info":"compute unary expreesion, input=7205, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-21615","layer":3},{"info":"compute binary expreesion, left_input=3347, right_input=-21615, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33541068","layer":2},{"info":"compute binary expreesion, left_input=-4483, right_input=-33541068, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1609","layer":4},{"info":"number node, value=7970","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=7970, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=7088","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=7088, right_input=1991, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18158, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=7417","layer":4},{"info":"compute unary expreesion, input=7417, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=14834","layer":3},{"info":"number node, value=9331","layer":4},{"info":"compute unary expreesion, input=9331, 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=14834, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-13","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((-⫖↰⪸2717)%⫖↰⪸3529⨽⫖↰⪸A62)∑⇟⊟((⫖↰⪸1B2B⨁⊸⫻)⨽(⫖↰⪸4205≦≮≮))⪒(⫖↰⪸B21≭⫖↰⪸4742⨐⩸⫘(⫖↰⪸4128⨸⪁⫖↰⪸119B)+(⫖↰⪸4361⊭∹↮)%(↯⪼⫖↰⪸5497))=NaN","reverse_text":"NaN=((-⫖↰⪸2717)%⫖↰⪸3529⨽⫖↰⪸A62)∑⇟⊟((⫖↰⪸1B2B⨁⊸⫻)⨽(⫖↰⪸4205≦≮≮))⪒(⫖↰⪸B21≭⫖↰⪸4742⨐⩸⫘(⫖↰⪸4128⨸⪁⫖↰⪸119B)+(⫖↰⪸4361⊭∹↮)%(↯⪼⫖↰⪸5497))","cot":[{"info":"-⫖↰⪸2717=⫖↰⪸-2717","layer":3},{"info":"⫖↰⪸3529⨽⫖↰⪸A62=⫖↰⪸-2B4B8313","layer":3},{"info":"⫖↰⪸-2717%⫖↰⪸-2B4B8313=⫖↰⪸-2717","layer":2},{"info":"⫖↰⪸1B2B⨁⊸⫻=⫖↰⪸1B2B","layer":3},{"info":"⫖↰⪸4205≦≮≮=⫖↰⪸-10613","layer":3},{"info":"⫖↰⪸1B2B⨽⫖↰⪸-10613=⫖↰⪸-B296410","layer":2},{"info":"⫖↰⪸-2717∑⇟⊟⫖↰⪸-B296410=NaN","layer":1},{"info":"⫖↰⪸B21≭⫖↰⪸4742=NaN","layer":3},{"info":"⫖↰⪸4128⨸⪁⫖↰⪸119B=⫖↰⪸A612","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸A612=NaN","layer":2},{"info":"⫖↰⪸4361⊭∹↮=⫖↰⪸8702","layer":3},{"info":"↯⪼⫖↰⪸5497=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸8702%⫖↰⪸-19=⫖↰⪸-11","layer":2},{"info":"NaN+⫖↰⪸-11=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"(≦∁($2794$⪨≂$3130$))⨓($1203$⋳⪒$7173$⫥∨⫟(⊄⩳↩$6500$))⊭↱((⪝⪂⫅($3076$⫡⨏$3674$))⨸⪁($6447$-$3876$)↙($5129$↙$5125$))","expression":"(≦∁(⫖↰⪸174A⪨≂⫖↰⪸198A))⨓(⫖↰⪸843⋳⪒⫖↰⪸4199⫥∨⫟(⊄⩳↩⫖↰⪸3918))⊭↱((⪝⪂⫅(⫖↰⪸1944⫡⨏⫖↰⪸2162))⨸⪁(⫖↰⪸3893-⫖↰⪸22B0)↙(⫖↰⪸2B75↙⫖↰⪸2B71))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20876,"operation_count":13,"complexity_ratio":1605.8461538461538,"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":2794,"base":12},"right_expr":{"type":"numeric_atoms","value":3130,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1203,"base":12},"right_expr":{"type":"numeric_atoms","value":7173,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6500,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3076,"base":12},"right_expr":{"type":"numeric_atoms","value":3674,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6447,"base":12},"right_expr":{"type":"numeric_atoms","value":3876,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5129,"base":12},"right_expr":{"type":"numeric_atoms","value":5125,"base":12}}}}},"used_operators":["COABgblf1C","3ViojmjbAp","9ICcGScMcE","sdazOOVcIp","KYD54nUTWz","12rbrZMWeM","8w2t5hMYqp","g55IO6H4Gj","XTarYq4gQB","QMFrweE19q","yyfyN0ffXY","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2794","layer":4},{"info":"number node, value=3130","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=3130, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-570","layer":3},{"info":"compute unary expreesion, input=-570, 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=1203","layer":4},{"info":"number node, value=7173","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=7173, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5054","layer":3},{"info":"number node, value=6500","layer":4},{"info":"compute unary expreesion, input=6500, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19500","layer":3},{"info":"compute binary expreesion, left_input=-5054, right_input=-19500, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=3076","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=3674, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23511","layer":3},{"info":"compute unary expreesion, input=23511, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-3456117","layer":2},{"info":"number node, value=6447","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=6447, right_input=3876, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2571","layer":3},{"info":"number node, value=5129","layer":4},{"info":"number node, value=5125","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=5125, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15375","layer":3},{"info":"compute binary expreesion, left_input=2571, right_input=-15375, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-46125","layer":2},{"info":"compute binary expreesion, left_input=-3456117, right_input=-46125, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-7004484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7004484, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≦∁(⫖↰⪸174A⪨≂⫖↰⪸198A))⨓(⫖↰⪸843⋳⪒⫖↰⪸4199⫥∨⫟(⊄⩳↩⫖↰⪸3918))⊭↱((⪝⪂⫅(⫖↰⪸1944⫡⨏⫖↰⪸2162))⨸⪁(⫖↰⪸3893-⫖↰⪸22B0)↙(⫖↰⪸2B75↙⫖↰⪸2B71))=NaN","reverse_text":"NaN=(≦∁(⫖↰⪸174A⪨≂⫖↰⪸198A))⨓(⫖↰⪸843⋳⪒⫖↰⪸4199⫥∨⫟(⊄⩳↩⫖↰⪸3918))⊭↱((⪝⪂⫅(⫖↰⪸1944⫡⨏⫖↰⪸2162))⨸⪁(⫖↰⪸3893-⫖↰⪸22B0)↙(⫖↰⪸2B75↙⫖↰⪸2B71))","cot":[{"info":"⫖↰⪸174A⪨≂⫖↰⪸198A=⫖↰⪸-3B6","layer":3},{"info":"≦∁⫖↰⪸-3B6=⫖↰⪸57","layer":2},{"info":"⫖↰⪸843⋳⪒⫖↰⪸4199=⫖↰⪸-2B12","layer":3},{"info":"⊄⩳↩⫖↰⪸3918=⫖↰⪸-B350","layer":3},{"info":"⫖↰⪸-2B12⫥∨⫟⫖↰⪸-B350=NaN","layer":2},{"info":"⫖↰⪸57⨓NaN=NaN","layer":1},{"info":"⫖↰⪸1944⫡⨏⫖↰⪸2162=⫖↰⪸11733","layer":3},{"info":"⪝⪂⫅⫖↰⪸11733=⫖↰⪸-11A8099","layer":2},{"info":"⫖↰⪸3893-⫖↰⪸22B0=⫖↰⪸15A3","layer":3},{"info":"⫖↰⪸2B75↙⫖↰⪸2B71=⫖↰⪸-8A93","layer":3},{"info":"⫖↰⪸15A3↙⫖↰⪸-8A93=⫖↰⪸-22839","layer":2},{"info":"⫖↰⪸-11A8099⨸⪁⫖↰⪸-22839=⫖↰⪸-2419630","layer":1},{"info":"NaN⊭↱⫖↰⪸-2419630=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($1802$∀⇚≩$3181$)∀⇚≩($1772$⊦⊿)⪨≂(($8201$∧)⊦⊿))↙($1231$⪛$2075$⪛($2535$⩚⊴⇥$4295$)↙(↩$1161$⨪↰⇹$1958$))","expression":"((⫖↰⪸1062∀⇚≩⫖↰⪸1A11)∀⇚≩(⫖↰⪸1038⊦⊿)⪨≂((⫖↰⪸48B5∧)⊦⊿))↙(⫖↰⪸867⪛⫖↰⪸124B⪛(⫖↰⪸1573⩚⊴⇥⫖↰⪸259B)↙(↩⫖↰⪸809⨪↰⇹⫖↰⪸1172))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13828,"operation_count":13,"complexity_ratio":1063.6923076923076,"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":1802,"base":12},"right_expr":{"type":"numeric_atoms","value":3181,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1772,"base":12}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":8201,"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":2075,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2535,"base":12},"right_expr":{"type":"numeric_atoms","value":4295,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1161,"base":12},"right_expr":{"type":"numeric_atoms","value":1958,"base":12}}}}},"used_operators":["yyfyN0ffXY","sdazOOVcIp","LRNGc0VcxI","14qkJME0vr","z63VuFQld9","uFcxV4UQCh","NTOWxs364D","jLgFTUHLKL","tmPS8pqC7x"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=3181, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1772","layer":4},{"info":"compute unary expreesion, input=1772, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5395","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5395, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8201","layer":4},{"info":"compute unary expreesion, input=8201, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2075, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1231","layer":3},{"info":"number node, value=2535","layer":4},{"info":"number node, value=4295","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=4295, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6951","layer":3},{"info":"compute binary expreesion, left_input=1231, right_input=-6951, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-5720","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=1958, 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=1161","layer":3},{"info":"compute unary expreesion, input=1161, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6508","layer":2},{"info":"compute binary expreesion, left_input=-5720, right_input=-6508, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5720","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5720, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1062∀⇚≩⫖↰⪸1A11)∀⇚≩(⫖↰⪸1038⊦⊿)⪨≂((⫖↰⪸48B5∧)⊦⊿))↙(⫖↰⪸867⪛⫖↰⪸124B⪛(⫖↰⪸1573⩚⊴⇥⫖↰⪸259B)↙(↩⫖↰⪸809⨪↰⇹⫖↰⪸1172))=NaN","reverse_text":"NaN=((⫖↰⪸1062∀⇚≩⫖↰⪸1A11)∀⇚≩(⫖↰⪸1038⊦⊿)⪨≂((⫖↰⪸48B5∧)⊦⊿))↙(⫖↰⪸867⪛⫖↰⪸124B⪛(⫖↰⪸1573⩚⊴⇥⫖↰⪸259B)↙(↩⫖↰⪸809⨪↰⇹⫖↰⪸1172))","cot":[{"info":"⫖↰⪸1062∀⇚≩⫖↰⪸1A11=NaN","layer":3},{"info":"⫖↰⪸1038⊦⊿=⫖↰⪸-3157","layer":3},{"info":"NaN∀⇚≩⫖↰⪸-3157=NaN","layer":2},{"info":"⫖↰⪸48B5∧=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⫖↰⪸867⪛⫖↰⪸124B=⫖↰⪸867","layer":3},{"info":"⫖↰⪸1573⩚⊴⇥⫖↰⪸259B=⫖↰⪸-4033","layer":3},{"info":"⫖↰⪸867⪛⫖↰⪸-4033=⫖↰⪸-3388","layer":2},{"info":"⫖↰⪸809⨪↰⇹⫖↰⪸1172=⫖↰⪸809","layer":3},{"info":"↩⫖↰⪸809=⫖↰⪸-3924","layer":2},{"info":"⫖↰⪸-3388↙⫖↰⪸-3924=⫖↰⪸-3388","layer":1},{"info":"NaN↙⫖↰⪸-3388=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"⋗⩬⋾(↣≠⋷($5220$∼$2387$⩚⊴⇥($1266$⪨≂$2722$)))","expression":"⋗⩬⋾(↣≠⋷(⫖↰⪸3030∼⫖↰⪸146B⩚⊴⇥(⫖↰⪸896⪨≂⫖↰⪸16AA)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":118,"operation_count":5,"complexity_ratio":23.6,"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":5220,"base":12},"right_expr":{"type":"numeric_atoms","value":2387,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1266,"base":12},"right_expr":{"type":"numeric_atoms","value":2722,"base":12}}}}},"used_operators":["DpFCA1CohY","Asc51vEJeQ","NTOWxs364D","DyGG3AbaNP","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5220","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=5220, right_input=2387, 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=1266","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=2722, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2810","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2810, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾(↣≠⋷(⫖↰⪸3030∼⫖↰⪸146B⩚⊴⇥(⫖↰⪸896⪨≂⫖↰⪸16AA)))=NaN","reverse_text":"NaN=⋗⩬⋾(↣≠⋷(⫖↰⪸3030∼⫖↰⪸146B⩚⊴⇥(⫖↰⪸896⪨≂⫖↰⪸16AA)))","cot":[{"info":"⫖↰⪸3030∼⫖↰⪸146B=NaN","layer":3},{"info":"⫖↰⪸896⪨≂⫖↰⪸16AA=⫖↰⪸-1762","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸-1762=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"⨵≀≌($1742$⨎$1182$⫸⊐($4228$↪⪝))⨐⩸⫘$1612$⊴$5667$≎⊠⪸($1290$⇼⇔∾$2432$)","expression":"⨵≀≌(⫖↰⪸1012⨎⫖↰⪸826⫸⊐(⫖↰⪸2544↪⪝))⨐⩸⫘⫖↰⪸B24⊴⫖↰⪸3343≎⊠⪸(⫖↰⪸8B6⇼⇔∾⫖↰⪸14A8)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6416,"operation_count":8,"complexity_ratio":802.0,"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":1742,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4228,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1612,"base":12},"right_expr":{"type":"numeric_atoms","value":5667,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1290,"base":12},"right_expr":{"type":"numeric_atoms","value":2432,"base":12}}}}},"used_operators":["srAu1WTS94","fu6greOZ01","mqXw5SEYmG","rJVOvQCfKK","l07mrZUIn9","bJkvcejdHO","Nsiff2A1zJ","tifHPKVTfV"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1742","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1182, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1182","layer":3},{"info":"number node, value=4228","layer":4},{"info":"compute unary expreesion, input=4228, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=258677496","layer":3},{"info":"compute binary expreesion, left_input=1182, right_input=258677496, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=1034709859","layer":2},{"info":"number node, value=1612","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=5667, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1290","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2432, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1142","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1142, 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=1034709859, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸1012⨎⫖↰⪸826⫸⊐(⫖↰⪸2544↪⪝))⨐⩸⫘⫖↰⪸B24⊴⫖↰⪸3343≎⊠⪸(⫖↰⪸8B6⇼⇔∾⫖↰⪸14A8)=NaN","reverse_text":"NaN=⨵≀≌(⫖↰⪸1012⨎⫖↰⪸826⫸⊐(⫖↰⪸2544↪⪝))⨐⩸⫘⫖↰⪸B24⊴⫖↰⪸3343≎⊠⪸(⫖↰⪸8B6⇼⇔∾⫖↰⪸14A8)","cot":[{"info":"⫖↰⪸1012⨎⫖↰⪸826=⫖↰⪸826","layer":3},{"info":"⫖↰⪸2544↪⪝=⫖↰⪸72769760","layer":3},{"info":"⫖↰⪸826⫸⊐⫖↰⪸72769760=⫖↰⪸24A632517","layer":2},{"info":"⫖↰⪸B24⊴⫖↰⪸3343=NaN","layer":3},{"info":"⫖↰⪸8B6⇼⇔∾⫖↰⪸14A8=⫖↰⪸7B2","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸7B2=NaN","layer":2},{"info":"⫖↰⪸24A632517⨐⩸⫘NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"(($1377$⨪↰⇹$1405$⪄(↽≂$1095$))⨎($1353$⇷$4359$⨐⩸⫘($1820$⪄$3472$)))+⇶⊼(($2228$≣⋋)⪘⫢(⩦⩻⨪$7054$))≹⇙⪍(($7177$⪒$1012$)≧⫂∧($6868$⨵⪆$4454$))","expression":"((⫖↰⪸969⨪↰⇹⫖↰⪸991⪄(↽≂⫖↰⪸773))⨎(⫖↰⪸949⇷⫖↰⪸2633⨐⩸⫘(⫖↰⪸1078⪄⫖↰⪸2014)))+⇶⊼((⫖↰⪸1358≣⋋)⪘⫢(⩦⩻⨪⫖↰⪸40BA))≹⇙⪍((⫖↰⪸41A1⪒⫖↰⪸704)≧⫂∧(⫖↰⪸3B84⨵⪆⫖↰⪸26B2))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":119838,"operation_count":15,"complexity_ratio":7989.2,"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":1377,"base":12},"right_expr":{"type":"numeric_atoms","value":1405,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1095,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1353,"base":12},"right_expr":{"type":"numeric_atoms","value":4359,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1820,"base":12},"right_expr":{"type":"numeric_atoms","value":3472,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2228,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7054,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7177,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6868,"base":12},"right_expr":{"type":"numeric_atoms","value":4454,"base":12}}}}},"used_operators":["TpPTUOHfaN","rJVOvQCfKK","SUmda5xLS4","tmPS8pqC7x","u6S6b8DprG","fu6greOZ01","mp7IySMOzn","AHs5Up7iyr","oacrs7FA3X","Tcnh7f0tEr","2td37pGCOC","Ph9nP6C5qx","f6k1SAg4EE","2DQ55sFlQl"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1405, 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=1377","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2190","layer":3},{"info":"compute binary expreesion, left_input=1377, right_input=-2190, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-191125","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=4359","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=4359, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8718","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=3472, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-279337","layer":3},{"info":"compute binary expreesion, left_input=8718, right_input=-279337, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-191125, 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=2228","layer":4},{"info":"compute unary expreesion, input=2228, 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=7054","layer":4},{"info":"compute unary expreesion, input=7054, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7054","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7054, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"number node, value=7177","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=7177, right_input=1012, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8189","layer":3},{"info":"number node, value=6868","layer":4},{"info":"number node, value=4454","layer":4},{"info":"compute binary expreesion, left_input=6868, right_input=4454, 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=-8189, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=-313, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":"((⫖↰⪸969⨪↰⇹⫖↰⪸991⪄(↽≂⫖↰⪸773))⨎(⫖↰⪸949⇷⫖↰⪸2633⨐⩸⫘(⫖↰⪸1078⪄⫖↰⪸2014)))+⇶⊼((⫖↰⪸1358≣⋋)⪘⫢(⩦⩻⨪⫖↰⪸40BA))≹⇙⪍((⫖↰⪸41A1⪒⫖↰⪸704)≧⫂∧(⫖↰⪸3B84⨵⪆⫖↰⪸26B2))=NaN","reverse_text":"NaN=((⫖↰⪸969⨪↰⇹⫖↰⪸991⪄(↽≂⫖↰⪸773))⨎(⫖↰⪸949⇷⫖↰⪸2633⨐⩸⫘(⫖↰⪸1078⪄⫖↰⪸2014)))+⇶⊼((⫖↰⪸1358≣⋋)⪘⫢(⩦⩻⨪⫖↰⪸40BA))≹⇙⪍((⫖↰⪸41A1⪒⫖↰⪸704)≧⫂∧(⫖↰⪸3B84⨵⪆⫖↰⪸26B2))","cot":[{"info":"⫖↰⪸969⨪↰⇹⫖↰⪸991=⫖↰⪸969","layer":3},{"info":"↽≂⫖↰⪸773=⫖↰⪸-1326","layer":3},{"info":"⫖↰⪸969⪄⫖↰⪸-1326=⫖↰⪸-92731","layer":2},{"info":"⫖↰⪸949⇷⫖↰⪸2633=⫖↰⪸5066","layer":3},{"info":"⫖↰⪸1078⪄⫖↰⪸2014=⫖↰⪸-1157A1","layer":3},{"info":"⫖↰⪸5066⨐⩸⫘⫖↰⪸-1157A1=NaN","layer":2},{"info":"⫖↰⪸-92731⨎NaN=NaN","layer":1},{"info":"⫖↰⪸1358≣⋋=⫖↰⪸0","layer":3},{"info":"⩦⩻⨪⫖↰⪸40BA=⫖↰⪸40BA","layer":3},{"info":"⫖↰⪸0⪘⫢⫖↰⪸40BA=⫖↰⪸-804","layer":2},{"info":"⫖↰⪸41A1⪒⫖↰⪸704=⫖↰⪸-48A5","layer":3},{"info":"⫖↰⪸3B84⨵⪆⫖↰⪸26B2=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-48A5≧⫂∧⫖↰⪸114=⫖↰⪸-221","layer":2},{"info":"⫖↰⪸-804≹⇙⪍⫖↰⪸-221=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"($1306$∑⇟⊟$1327$↺($1043$*$4128$))≎⊠⪸($4033$⫥∨⫟$6557$⫥∨⫟(⨈⫕$1001$))*((↩$3453$⨓$5063$)*$1562$⇷$1882$≧⫂∧($5602$⪄$1267$))","expression":"(⫖↰⪸90A∑⇟⊟⫖↰⪸927↺(⫖↰⪸72B*⫖↰⪸2480))≎⊠⪸(⫖↰⪸2401⫥∨⫟⫖↰⪸3965⫥∨⫟(⨈⫕⫖↰⪸6B5))*((↩⫖↰⪸1BB9⨓⫖↰⪸2B1B)*⫖↰⪸AA2⇷⫖↰⪸110A≧⫂∧(⫖↰⪸32AA⪄⫖↰⪸897))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51696,"operation_count":14,"complexity_ratio":3692.5714285714284,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1306,"base":12},"right_expr":{"type":"numeric_atoms","value":1327,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1043,"base":12},"right_expr":{"type":"numeric_atoms","value":4128,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4033,"base":12},"right_expr":{"type":"numeric_atoms","value":6557,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1001,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3453,"base":12},"right_expr":{"type":"numeric_atoms","value":5063,"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":1882,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5602,"base":12},"right_expr":{"type":"numeric_atoms","value":1267,"base":12}}}}},"used_operators":["9HNa5Wba9A","bJkvcejdHO","7j4O788W3g","U7g4x0WXJJ","KYD54nUTWz","megm06wKyl","jLgFTUHLKL","3ViojmjbAp","Ph9nP6C5qx","mp7IySMOzn","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1327, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=4128, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4305504","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4305504, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4305504","layer":2},{"info":"number node, value=4033","layer":4},{"info":"number node, value=6557","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=6557, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4305504, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=3453","layer":4},{"info":"number node, value=5063","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=5063, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5066","layer":3},{"info":"compute unary expreesion, input=-5066, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=22884","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1882, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3764","layer":3},{"info":"number node, value=5602","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=5602, right_input=1267, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-830253","layer":3},{"info":"compute binary expreesion, left_input=3764, right_input=-830253, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=834017","layer":2},{"info":"compute binary expreesion, left_input=22884, right_input=834017, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=inf, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸90A∑⇟⊟⫖↰⪸927↺(⫖↰⪸72B*⫖↰⪸2480))≎⊠⪸(⫖↰⪸2401⫥∨⫟⫖↰⪸3965⫥∨⫟(⨈⫕⫖↰⪸6B5))*((↩⫖↰⪸1BB9⨓⫖↰⪸2B1B)*⫖↰⪸AA2⇷⫖↰⪸110A≧⫂∧(⫖↰⪸32AA⪄⫖↰⪸897))=Inf","reverse_text":"Inf=(⫖↰⪸90A∑⇟⊟⫖↰⪸927↺(⫖↰⪸72B*⫖↰⪸2480))≎⊠⪸(⫖↰⪸2401⫥∨⫟⫖↰⪸3965⫥∨⫟(⨈⫕⫖↰⪸6B5))*((↩⫖↰⪸1BB9⨓⫖↰⪸2B1B)*⫖↰⪸AA2⇷⫖↰⪸110A≧⫂∧(⫖↰⪸32AA⪄⫖↰⪸897))","cot":[{"info":"⫖↰⪸90A∑⇟⊟⫖↰⪸927=NaN","layer":3},{"info":"⫖↰⪸72B*⫖↰⪸2480=⫖↰⪸1537740","layer":3},{"info":"NaN↺⫖↰⪸1537740=⫖↰⪸1537740","layer":2},{"info":"⫖↰⪸2401⫥∨⫟⫖↰⪸3965=NaN","layer":3},{"info":"⨈⫕⫖↰⪸6B5=⫖↰⪸-19","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸1537740≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1BB9⨓⫖↰⪸2B1B=⫖↰⪸-2B22","layer":3},{"info":"↩⫖↰⪸-2B22=⫖↰⪸112B0","layer":2},{"info":"⫖↰⪸AA2⇷⫖↰⪸110A=⫖↰⪸2218","layer":3},{"info":"⫖↰⪸32AA⪄⫖↰⪸897=⫖↰⪸-340579","layer":3},{"info":"⫖↰⪸2218≧⫂∧⫖↰⪸-340579=⫖↰⪸342795","layer":2},{"info":"⫖↰⪸112B0*⫖↰⪸342795=Inf","layer":1},{"info":"⫖↰⪸57*Inf=Inf","layer":0}]}
{"id":500,"expression_no_base_symbol":"(⫛⫱⨽((↥$1486$)⇷($3525$↺$1729$)))⊠≄⫣","expression":"(⫛⫱⨽((↥⫖↰⪸A3A)⇷(⫖↰⪸2059↺⫖↰⪸1001)))⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1560,"operation_count":5,"complexity_ratio":312.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1486,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3525,"base":12},"right_expr":{"type":"numeric_atoms","value":1729,"base":12}}}}},"used_operators":["DIvbN7qnHd","DlLNRPXxWL","mp7IySMOzn","A8NUZmVepG","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"number node, value=3525","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1729, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1729","layer":3},{"info":"compute binary expreesion, left_input=7, right_input=1729, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3458","layer":2},{"info":"compute unary expreesion, input=3458, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽((↥⫖↰⪸A3A)⇷(⫖↰⪸2059↺⫖↰⪸1001)))⊠≄⫣=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫛⫱⨽((↥⫖↰⪸A3A)⇷(⫖↰⪸2059↺⫖↰⪸1001)))⊠≄⫣","cot":[{"info":"↥⫖↰⪸A3A=⫖↰⪸7","layer":3},{"info":"⫖↰⪸2059↺⫖↰⪸1001=⫖↰⪸1001","layer":3},{"info":"⫖↰⪸7⇷⫖↰⪸1001=⫖↰⪸2002","layer":2},{"info":"⫛⫱⨽⫖↰⪸2002=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊠≄⫣=⫖↰⪸0","layer":0}]}
{"id":501,"expression_no_base_symbol":"(($3351$≭$3488$)⨰(-$1066$)⨳⩥⨓(≉$1006$≧⫂∧$6936$))⩠","expression":"((⫖↰⪸1B33≭⫖↰⪸2028)⨰(-⫖↰⪸74A)⨳⩥⨓(≉⫖↰⪸6BA≧⫂∧⫖↰⪸4020))⩠","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32,"operation_count":7,"complexity_ratio":4.571428571428571,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3351,"base":12},"right_expr":{"type":"numeric_atoms","value":3488,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1066,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1006,"base":12},"right_expr":{"type":"numeric_atoms","value":6936,"base":12}}}}},"used_operators":["sJAwomhLZr","nCS4ZIUYfx","eewbuw0ToL","rxpJgHHUmx","t8gj7n24qd","e1ybzncUwg","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3351","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=3488, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1066","layer":4},{"info":"compute unary expreesion, input=1066, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1066","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1066, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1006","layer":4},{"info":"number node, value=6936","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=6936, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6463","layer":3},{"info":"compute unary expreesion, input=6463, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6994","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6994, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+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":"((⫖↰⪸1B33≭⫖↰⪸2028)⨰(-⫖↰⪸74A)⨳⩥⨓(≉⫖↰⪸6BA≧⫂∧⫖↰⪸4020))⩠=NaN","reverse_text":"NaN=((⫖↰⪸1B33≭⫖↰⪸2028)⨰(-⫖↰⪸74A)⨳⩥⨓(≉⫖↰⪸6BA≧⫂∧⫖↰⪸4020))⩠","cot":[{"info":"⫖↰⪸1B33≭⫖↰⪸2028=NaN","layer":3},{"info":"-⫖↰⪸74A=⫖↰⪸-74A","layer":3},{"info":"NaN⨰⫖↰⪸-74A=NaN","layer":2},{"info":"⫖↰⪸6BA≧⫂∧⫖↰⪸4020=⫖↰⪸38A7","layer":3},{"info":"≉⫖↰⪸38A7=⫖↰⪸406A","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸406A=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"($4723$⋝⋈⪟$9038$⩚⊴⇥(↽≂$1401$)%($7560$⨟⋌⩍$4140$∸))≧⫂∧((($8024$⊘)⋥≓≎$1345$↬$2893$)+⇶⊼($3225$≹⇙⪍$2518$≋⫹))","expression":"(⫖↰⪸2897⋝⋈⪟⫖↰⪸5292⩚⊴⇥(↽≂⫖↰⪸989)%(⫖↰⪸4460⨟⋌⩍⫖↰⪸2490∸))≧⫂∧(((⫖↰⪸4788⊘)⋥≓≎⫖↰⪸941↬⫖↰⪸1811)+⇶⊼(⫖↰⪸1A49≹⇙⪍⫖↰⪸155A≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":228,"operation_count":13,"complexity_ratio":17.53846153846154,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4723,"base":12},"right_expr":{"type":"numeric_atoms","value":9038,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1401,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7560,"base":12},"right_expr":{"type":"numeric_atoms","value":4140,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":8024,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1345,"base":12},"right_expr":{"type":"numeric_atoms","value":2893,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3225,"base":12},"right_expr":{"type":"numeric_atoms","value":2518,"base":12}}}}},"used_operators":["Ph9nP6C5qx","k8jYdgA6NY","NTOWxs364D","2DDjHMKMc0","u6S6b8DprG","o20kRiQErp","rGHVDoGpnC","TpPTUOHfaN","Qy55tPpLXF","gu96TGCTMs","B5M0gjZbta","N41Kp7NANJ","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","Tcnh7f0tEr","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4723","layer":4},{"info":"number node, value=9038","layer":4},{"info":"compute binary expreesion, left_input=4723, right_input=9038, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4723","layer":3},{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2802","layer":3},{"info":"compute binary expreesion, left_input=4723, right_input=-2802, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2042","layer":2},{"info":"number node, value=7560","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=7560, right_input=4140, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-2042, right_input=177, op_id = k8jYdgA6NY binary_op_definition= 'None', output=82","layer":1},{"info":"number node, value=8024","layer":4},{"info":"compute unary expreesion, input=8024, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=2893, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=3225","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=2518, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=82, 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":"(⫖↰⪸2897⋝⋈⪟⫖↰⪸5292⩚⊴⇥(↽≂⫖↰⪸989)%(⫖↰⪸4460⨟⋌⩍⫖↰⪸2490∸))≧⫂∧(((⫖↰⪸4788⊘)⋥≓≎⫖↰⪸941↬⫖↰⪸1811)+⇶⊼(⫖↰⪸1A49≹⇙⪍⫖↰⪸155A≋⫹))=NaN","reverse_text":"NaN=(⫖↰⪸2897⋝⋈⪟⫖↰⪸5292⩚⊴⇥(↽≂⫖↰⪸989)%(⫖↰⪸4460⨟⋌⩍⫖↰⪸2490∸))≧⫂∧(((⫖↰⪸4788⊘)⋥≓≎⫖↰⪸941↬⫖↰⪸1811)+⇶⊼(⫖↰⪸1A49≹⇙⪍⫖↰⪸155A≋⫹))","cot":[{"info":"⫖↰⪸2897⋝⋈⪟⫖↰⪸5292=⫖↰⪸2897","layer":3},{"info":"↽≂⫖↰⪸989=⫖↰⪸-1756","layer":3},{"info":"⫖↰⪸2897⩚⊴⇥⫖↰⪸-1756=⫖↰⪸-1222","layer":2},{"info":"⫖↰⪸4460⨟⋌⩍⫖↰⪸2490=NaN","layer":3},{"info":"NaN∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸-1222%⫖↰⪸129=⫖↰⪸6A","layer":1},{"info":"⫖↰⪸4788⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸941↬⫖↰⪸1811=NaN","layer":3},{"info":"⫖↰⪸0⋥≓≎NaN=NaN","layer":2},{"info":"⫖↰⪸1A49≹⇙⪍⫖↰⪸155A=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸6A≧⫂∧NaN=NaN","layer":0}]}
{"id":503,"expression_no_base_symbol":"⊥($6561$⪢$4610$∀⇚≩($4329$⨁⊸⫻)⪒($4285$⋳⪒$1334$)⊴($1218$⋝⋈⪟$1010$))","expression":"⊥(⫖↰⪸3969⪢⫖↰⪸2802∀⇚≩(⫖↰⪸2609⨁⊸⫻)⪒(⫖↰⪸2591⋳⪒⫖↰⪸932)⊴(⫖↰⪸856⋝⋈⪟⫖↰⪸702))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17051,"operation_count":8,"complexity_ratio":2131.375,"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":6561,"base":12},"right_expr":{"type":"numeric_atoms","value":4610,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4329,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4285,"base":12},"right_expr":{"type":"numeric_atoms","value":1334,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":1010,"base":12}}}}},"used_operators":["Q3PJZHRvZv","f6k1SAg4EE","LRNGc0VcxI","dWAJyo7jo9","glklzrTFfD","Nsiff2A1zJ","12rbrZMWeM","2DDjHMKMc0"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6561","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=6561, right_input=4610, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=4329","layer":4},{"info":"compute unary expreesion, input=4329, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4329","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4329, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4285","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=1334, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6949","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1010, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1218","layer":3},{"info":"compute binary expreesion, left_input=6949, right_input=1218, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(⫖↰⪸3969⪢⫖↰⪸2802∀⇚≩(⫖↰⪸2609⨁⊸⫻)⪒(⫖↰⪸2591⋳⪒⫖↰⪸932)⊴(⫖↰⪸856⋝⋈⪟⫖↰⪸702))=NaN","reverse_text":"NaN=⊥(⫖↰⪸3969⪢⫖↰⪸2802∀⇚≩(⫖↰⪸2609⨁⊸⫻)⪒(⫖↰⪸2591⋳⪒⫖↰⪸932)⊴(⫖↰⪸856⋝⋈⪟⫖↰⪸702))","cot":[{"info":"⫖↰⪸3969⪢⫖↰⪸2802=NaN","layer":3},{"info":"⫖↰⪸2609⨁⊸⫻=⫖↰⪸2609","layer":3},{"info":"NaN∀⇚≩⫖↰⪸2609=NaN","layer":2},{"info":"⫖↰⪸2591⋳⪒⫖↰⪸932=⫖↰⪸4031","layer":3},{"info":"⫖↰⪸856⋝⋈⪟⫖↰⪸702=⫖↰⪸856","layer":3},{"info":"⫖↰⪸4031⊴⫖↰⪸856=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"(($4061$≎⊠⪸$4674$)≧⫂∧($1930$⨐⩸⫘$1029$))⊴(($4328$⨽$2771$)⪢($1757$⨵⪆$6363$))*(($1005$≹⇙⪍$4417$⩚⊴⇥$4098$⋝⋈⪟$7533$)⇋≉)","expression":"((⫖↰⪸2425≎⊠⪸⫖↰⪸2856)≧⫂∧(⫖↰⪸114A⨐⩸⫘⫖↰⪸719))⊴((⫖↰⪸2608⨽⫖↰⪸172B)⪢(⫖↰⪸1025⨵⪆⫖↰⪸3823))*((⫖↰⪸6B9≹⇙⪍⫖↰⪸2681⩚⊴⇥⫖↰⪸2456⋝⋈⪟⫖↰⪸4439)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6600685,"operation_count":12,"complexity_ratio":550057.0833333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4061,"base":12},"right_expr":{"type":"numeric_atoms","value":4674,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1930,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4328,"base":12},"right_expr":{"type":"numeric_atoms","value":2771,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1757,"base":12},"right_expr":{"type":"numeric_atoms","value":6363,"base":12}}}},"right_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":4417,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4098,"base":12},"right_expr":{"type":"numeric_atoms","value":7533,"base":12}}}}},"used_operators":["9HNa5Wba9A","Nsiff2A1zJ","Ph9nP6C5qx","bJkvcejdHO","fu6greOZ01","dWAJyo7jo9","8HhzD0ZcuI","2DQ55sFlQl","XIabStNQrY","NTOWxs364D","AHs5Up7iyr","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4061","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=4061, right_input=4674, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1051326","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=1029, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1051326, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=4328","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=2771, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-56201751","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=6363","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=6363, 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=-56201751, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=4417","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=4417, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4098","layer":4},{"info":"number node, value=7533","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=7533, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4098","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4098, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2425≎⊠⪸⫖↰⪸2856)≧⫂∧(⫖↰⪸114A⨐⩸⫘⫖↰⪸719))⊴((⫖↰⪸2608⨽⫖↰⪸172B)⪢(⫖↰⪸1025⨵⪆⫖↰⪸3823))*((⫖↰⪸6B9≹⇙⪍⫖↰⪸2681⩚⊴⇥⫖↰⪸2456⋝⋈⪟⫖↰⪸4439)⇋≉)=NaN","reverse_text":"NaN=((⫖↰⪸2425≎⊠⪸⫖↰⪸2856)≧⫂∧(⫖↰⪸114A⨐⩸⫘⫖↰⪸719))⊴((⫖↰⪸2608⨽⫖↰⪸172B)⪢(⫖↰⪸1025⨵⪆⫖↰⪸3823))*((⫖↰⪸6B9≹⇙⪍⫖↰⪸2681⩚⊴⇥⫖↰⪸2456⋝⋈⪟⫖↰⪸4439)⇋≉)","cot":[{"info":"⫖↰⪸2425≎⊠⪸⫖↰⪸2856=⫖↰⪸4284A6","layer":3},{"info":"⫖↰⪸114A⨐⩸⫘⫖↰⪸719=NaN","layer":3},{"info":"⫖↰⪸4284A6≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸2608⨽⫖↰⪸172B=⫖↰⪸-169A41B3","layer":3},{"info":"⫖↰⪸1025⨵⪆⫖↰⪸3823=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-169A41B3⪢⫖↰⪸114=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⫖↰⪸6B9≹⇙⪍⫖↰⪸2681=NaN","layer":3},{"info":"⫖↰⪸2456⋝⋈⪟⫖↰⪸4439=⫖↰⪸2456","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸2456=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":505,"expression_no_base_symbol":"(≦∁$1981$)≧⫂∧($2826$⪨≂$2479$)⊭↱$8281$≭$1354$⨎($5370$⨐⩸⫘$3886$)⪨≂((≤/$2013$)⫸⊐(⨑⩽⪐$6719$))⪛(($1072$⫸⊐$2276$)⨐⩸⫘(⇁⨣⪵$8701$))","expression":"(≦∁⫖↰⪸1191)≧⫂∧(⫖↰⪸1776⪨≂⫖↰⪸1527)⊭↱⫖↰⪸4961≭⫖↰⪸94A⨎(⫖↰⪸3136⨐⩸⫘⫖↰⪸22BA)⪨≂((≤/⫖↰⪸11B9)⫸⊐(⨑⩽⪐⫖↰⪸3A7B))⪛((⫖↰⪸754⫸⊐⫖↰⪸1398)⨐⩸⫘(⇁⨣⪵⫖↰⪸5051))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60,"operation_count":15,"complexity_ratio":4.0,"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":1981,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2826,"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":8281,"base":12},"right_expr":{"type":"numeric_atoms","value":1354,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5370,"base":12},"right_expr":{"type":"numeric_atoms","value":3886,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2013,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6719,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1072,"base":12},"right_expr":{"type":"numeric_atoms","value":2276,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":8701,"base":12}}}}},"used_operators":["sdazOOVcIp","COABgblf1C","Ph9nP6C5qx","9ICcGScMcE","rJVOvQCfKK","rxpJgHHUmx","fu6greOZ01","uFcxV4UQCh","mqXw5SEYmG","eLAdDNolq6","AF7qkfDlqP","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"compute unary expreesion, input=1981, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1981","layer":3},{"info":"number node, value=2826","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=2479, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=796","layer":3},{"info":"compute binary expreesion, left_input=1981, right_input=796, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=323","layer":2},{"info":"number node, value=8281","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=8281, right_input=1354, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5370","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=5370, right_input=3886, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=323, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1529","layer":3},{"info":"number node, value=6719","layer":4},{"info":"compute unary expreesion, input=6719, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6446","layer":3},{"info":"compute binary expreesion, left_input=-1529, right_input=-6446, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2276, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8979","layer":3},{"info":"number node, value=8701","layer":4},{"info":"compute unary expreesion, input=8701, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8979, 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=968, 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 = 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":"(≦∁⫖↰⪸1191)≧⫂∧(⫖↰⪸1776⪨≂⫖↰⪸1527)⊭↱⫖↰⪸4961≭⫖↰⪸94A⨎(⫖↰⪸3136⨐⩸⫘⫖↰⪸22BA)⪨≂((≤/⫖↰⪸11B9)⫸⊐(⨑⩽⪐⫖↰⪸3A7B))⪛((⫖↰⪸754⫸⊐⫖↰⪸1398)⨐⩸⫘(⇁⨣⪵⫖↰⪸5051))=NaN","reverse_text":"NaN=(≦∁⫖↰⪸1191)≧⫂∧(⫖↰⪸1776⪨≂⫖↰⪸1527)⊭↱⫖↰⪸4961≭⫖↰⪸94A⨎(⫖↰⪸3136⨐⩸⫘⫖↰⪸22BA)⪨≂((≤/⫖↰⪸11B9)⫸⊐(⨑⩽⪐⫖↰⪸3A7B))⪛((⫖↰⪸754⫸⊐⫖↰⪸1398)⨐⩸⫘(⇁⨣⪵⫖↰⪸5051))","cot":[{"info":"≦∁⫖↰⪸1191=⫖↰⪸1191","layer":3},{"info":"⫖↰⪸1776⪨≂⫖↰⪸1527=⫖↰⪸564","layer":3},{"info":"⫖↰⪸1191≧⫂∧⫖↰⪸564=⫖↰⪸22B","layer":2},{"info":"⫖↰⪸4961≭⫖↰⪸94A=NaN","layer":3},{"info":"⫖↰⪸3136⨐⩸⫘⫖↰⪸22BA=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⫖↰⪸22B⊭↱NaN=NaN","layer":1},{"info":"≤/⫖↰⪸11B9=⫖↰⪸-A75","layer":3},{"info":"⨑⩽⪐⫖↰⪸3A7B=⫖↰⪸-3892","layer":3},{"info":"⫖↰⪸-A75⫸⊐⫖↰⪸-3892=⫖↰⪸688","layer":2},{"info":"⫖↰⪸754⫸⊐⫖↰⪸1398=⫖↰⪸5243","layer":3},{"info":"⇁⨣⪵⫖↰⪸5051=NaN","layer":3},{"info":"⫖↰⪸5243⨐⩸⫘NaN=NaN","layer":2},{"info":"⫖↰⪸688⪛NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"(($2652$⨳⩥⨓$7028$⨵⪆$1276$⨸⪁$5961$)⊪)-((($9193$⨽$4690$)≎⊠⪸($1107$⨳⩥⨓$3196$))∧)","expression":"((⫖↰⪸1650⨳⩥⨓⫖↰⪸4098⨵⪆⫖↰⪸8A4⨸⪁⫖↰⪸3549)⊪)-(((⫖↰⪸53A1⨽⫖↰⪸286A)≎⊠⪸(⫖↰⪸783⨳⩥⨓⫖↰⪸1A24))∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9523,"operation_count":9,"complexity_ratio":1058.111111111111,"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":2652,"base":12},"right_expr":{"type":"numeric_atoms","value":7028,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1276,"base":12},"right_expr":{"type":"numeric_atoms","value":5961,"base":12}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":9193,"base":12},"right_expr":{"type":"numeric_atoms","value":4690,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1107,"base":12},"right_expr":{"type":"numeric_atoms","value":3196,"base":12}}}}},"used_operators":["rysDP5nf3Z","zVYPLywUTj","2DQ55sFlQl","nCS4ZIUYfx","g55IO6H4Gj","z63VuFQld9","bJkvcejdHO","8HhzD0ZcuI"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2652","layer":4},{"info":"number node, value=7028","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=7028, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4376","layer":3},{"info":"number node, value=1276","layer":4},{"info":"number node, value=5961","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=5961, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14474","layer":3},{"info":"compute binary expreesion, left_input=4376, right_input=14474, 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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=9193","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=9193, right_input=4690, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-253546503","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=3196, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2089","layer":3},{"info":"compute binary expreesion, left_input=-253546503, right_input=2089, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1650⨳⩥⨓⫖↰⪸4098⨵⪆⫖↰⪸8A4⨸⪁⫖↰⪸3549)⊪)-(((⫖↰⪸53A1⨽⫖↰⪸286A)≎⊠⪸(⫖↰⪸783⨳⩥⨓⫖↰⪸1A24))∧)=NaN","reverse_text":"NaN=((⫖↰⪸1650⨳⩥⨓⫖↰⪸4098⨵⪆⫖↰⪸8A4⨸⪁⫖↰⪸3549)⊪)-(((⫖↰⪸53A1⨽⫖↰⪸286A)≎⊠⪸(⫖↰⪸783⨳⩥⨓⫖↰⪸1A24))∧)","cot":[{"info":"⫖↰⪸1650⨳⩥⨓⫖↰⪸4098=⫖↰⪸2648","layer":3},{"info":"⫖↰⪸8A4⨸⪁⫖↰⪸3549=⫖↰⪸8462","layer":3},{"info":"⫖↰⪸2648⨵⪆⫖↰⪸8462=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸53A1⨽⫖↰⪸286A=⫖↰⪸-70AB4373","layer":3},{"info":"⫖↰⪸783⨳⩥⨓⫖↰⪸1A24=⫖↰⪸1261","layer":3},{"info":"⫖↰⪸-70AB4373≎⊠⪸⫖↰⪸1261=Inf","layer":2},{"info":"Inf∧=NaN","layer":1},{"info":"⫖↰⪸0-NaN=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"(∥⊫(∥⊫($3893$⊠≄⫣)))⨐⩸⫘($3933$∑⇟⊟$1474$⫥∨⫟($1985$⪨≂$6200$)⨵⪆(⪝⪂⫅($2763$⨽$1010$)))","expression":"(∥⊫(∥⊫(⫖↰⪸2305⊠≄⫣)))⨐⩸⫘(⫖↰⪸2339∑⇟⊟⫖↰⪸A2A⫥∨⫟(⫖↰⪸1195⪨≂⫖↰⪸3708)⨵⪆(⪝⪂⫅(⫖↰⪸1723⨽⫖↰⪸702)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29654,"operation_count":10,"complexity_ratio":2965.4,"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":3893,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3933,"base":12},"right_expr":{"type":"numeric_atoms","value":1474,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1985,"base":12},"right_expr":{"type":"numeric_atoms","value":6200,"base":12}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2763,"base":12},"right_expr":{"type":"numeric_atoms","value":1010,"base":12}}}}},"used_operators":["fu6greOZ01","P8v4zCKN1o","DIvbN7qnHd","2DQ55sFlQl","KYD54nUTWz","U7g4x0WXJJ","sdazOOVcIp","XTarYq4gQB","8HhzD0ZcuI"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-117","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3893","layer":4},{"info":"compute unary expreesion, input=3893, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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 unary expreesion, input=868, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1736","layer":1},{"info":"number node, value=3933","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=1474, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1985","layer":4},{"info":"number node, value=6200","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=6200, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8328","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8328, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2763","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=1010, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22904223","layer":3},{"info":"compute unary expreesion, input=-22904223, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=inf, 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=1736, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":0}],"base":12,"result_base":12,"text":"(∥⊫(∥⊫(⫖↰⪸2305⊠≄⫣)))⨐⩸⫘(⫖↰⪸2339∑⇟⊟⫖↰⪸A2A⫥∨⫟(⫖↰⪸1195⪨≂⫖↰⪸3708)⨵⪆(⪝⪂⫅(⫖↰⪸1723⨽⫖↰⪸702)))=⫖↰⪸-117","reverse_text":"⫖↰⪸-117=(∥⊫(∥⊫(⫖↰⪸2305⊠≄⫣)))⨐⩸⫘(⫖↰⪸2339∑⇟⊟⫖↰⪸A2A⫥∨⫟(⫖↰⪸1195⪨≂⫖↰⪸3708)⨵⪆(⪝⪂⫅(⫖↰⪸1723⨽⫖↰⪸702)))","cot":[{"info":"⫖↰⪸2305⊠≄⫣=⫖↰⪸0","layer":3},{"info":"∥⊫⫖↰⪸0=⫖↰⪸604","layer":2},{"info":"∥⊫⫖↰⪸604=⫖↰⪸1008","layer":1},{"info":"⫖↰⪸2339∑⇟⊟⫖↰⪸A2A=NaN","layer":3},{"info":"⫖↰⪸1195⪨≂⫖↰⪸3708=⫖↰⪸-49A0","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸-49A0=NaN","layer":2},{"info":"⫖↰⪸1723⨽⫖↰⪸702=⫖↰⪸-7806913","layer":3},{"info":"⪝⪂⫅⫖↰⪸-7806913=Inf","layer":2},{"info":"NaN⨵⪆Inf=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1008⨐⩸⫘⫖↰⪸114=⫖↰⪸-117","layer":0}]}
{"id":508,"expression_no_base_symbol":"($1000$⊴$4709$∀⇚≩($1277$+$3922$)⪨≂(↔$1378$⊴$5189$))⋫","expression":"(⫖↰⪸6B4⊴⫖↰⪸2885∀⇚≩(⫖↰⪸8A5+⫖↰⪸232A)⪨≂(↔⫖↰⪸96A⊴⫖↰⪸3005))⋫","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9940,"operation_count":7,"complexity_ratio":1420.0,"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":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":4709,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1277,"base":12},"right_expr":{"type":"numeric_atoms","value":3922,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1378,"base":12},"right_expr":{"type":"numeric_atoms","value":5189,"base":12}}}}},"used_operators":["JL8yIekQnl","sdazOOVcIp","LRNGc0VcxI","Nsiff2A1zJ","W4YGzv6Whe","ruOEQAzv1W"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=4709","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=4709, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=3922, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5199","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5199, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1378","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=5189, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸6B4⊴⫖↰⪸2885∀⇚≩(⫖↰⪸8A5+⫖↰⪸232A)⪨≂(↔⫖↰⪸96A⊴⫖↰⪸3005))⋫=NaN","reverse_text":"NaN=(⫖↰⪸6B4⊴⫖↰⪸2885∀⇚≩(⫖↰⪸8A5+⫖↰⪸232A)⪨≂(↔⫖↰⪸96A⊴⫖↰⪸3005))⋫","cot":[{"info":"⫖↰⪸6B4⊴⫖↰⪸2885=NaN","layer":3},{"info":"⫖↰⪸8A5+⫖↰⪸232A=⫖↰⪸3013","layer":3},{"info":"NaN∀⇚≩⫖↰⪸3013=NaN","layer":2},{"info":"⫖↰⪸96A⊴⫖↰⪸3005=NaN","layer":3},{"info":"↔NaN=⫖↰⪸-B2","layer":2},{"info":"NaN⪨≂⫖↰⪸-B2=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"((($2560$⨐⩸⫘$3251$)+⇶⊼$1552$⊴$4750$)≦≮≮)⪨≂($1044$⨸⪁$4010$⪒$5091$⪢$2212$)*($1869$⊉≛↸$1268$%$2420$⩷∴$1827$)","expression":"(((⫖↰⪸1594⨐⩸⫘⫖↰⪸1A6B)+⇶⊼⫖↰⪸A94⊴⫖↰⪸28BA)≦≮≮)⪨≂(⫖↰⪸730⨸⪁⫖↰⪸23A2⪒⫖↰⪸2B43⪢⫖↰⪸1344)*(⫖↰⪸10B9⊉≛↸⫖↰⪸898%⫖↰⪸1498⩷∴⫖↰⪸1083)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10082,"operation_count":12,"complexity_ratio":840.1666666666666,"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":2560,"base":12},"right_expr":{"type":"numeric_atoms","value":3251,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1552,"base":12},"right_expr":{"type":"numeric_atoms","value":4750,"base":12}}}},"right_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":4010,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5091,"base":12},"right_expr":{"type":"numeric_atoms","value":2212,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1869,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2420,"base":12},"right_expr":{"type":"numeric_atoms","value":1827,"base":12}}}}},"used_operators":["sdazOOVcIp","D4vGDi5EA2","TpPTUOHfaN","fu6greOZ01","Nsiff2A1zJ","9HNa5Wba9A","f6k1SAg4EE","g55IO6H4Gj","dWAJyo7jo9","k8jYdgA6NY","DZ8iAZOCBD","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2560","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=3251, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1552","layer":4},{"info":"number node, value=4750","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=4750, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=4010, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10108","layer":3},{"info":"number node, value=5091","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=2212, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=10108, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1869","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=1268, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3738","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1827, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1154","layer":3},{"info":"compute binary expreesion, left_input=3738, right_input=1154, op_id = k8jYdgA6NY binary_op_definition= 'None', output=276","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=276, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1594⨐⩸⫘⫖↰⪸1A6B)+⇶⊼⫖↰⪸A94⊴⫖↰⪸28BA)≦≮≮)⪨≂(⫖↰⪸730⨸⪁⫖↰⪸23A2⪒⫖↰⪸2B43⪢⫖↰⪸1344)*(⫖↰⪸10B9⊉≛↸⫖↰⪸898%⫖↰⪸1498⩷∴⫖↰⪸1083)=NaN","reverse_text":"NaN=(((⫖↰⪸1594⨐⩸⫘⫖↰⪸1A6B)+⇶⊼⫖↰⪸A94⊴⫖↰⪸28BA)≦≮≮)⪨≂(⫖↰⪸730⨸⪁⫖↰⪸23A2⪒⫖↰⪸2B43⪢⫖↰⪸1344)*(⫖↰⪸10B9⊉≛↸⫖↰⪸898%⫖↰⪸1498⩷∴⫖↰⪸1083)","cot":[{"info":"⫖↰⪸1594⨐⩸⫘⫖↰⪸1A6B=NaN","layer":3},{"info":"⫖↰⪸A94⊴⫖↰⪸28BA=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⫖↰⪸730⨸⪁⫖↰⪸23A2=⫖↰⪸5A24","layer":3},{"info":"⫖↰⪸2B43⪢⫖↰⪸1344=NaN","layer":3},{"info":"⫖↰⪸5A24⪒NaN=NaN","layer":2},{"info":"⫖↰⪸10B9⊉≛↸⫖↰⪸898=⫖↰⪸21B6","layer":3},{"info":"⫖↰⪸1498⩷∴⫖↰⪸1083=⫖↰⪸802","layer":3},{"info":"⫖↰⪸21B6%⫖↰⪸802=⫖↰⪸1B0","layer":2},{"info":"NaN*⫖↰⪸1B0=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"↥((⋗⩬⋾$5143$)⨰($1133$⨽$4372$)⋷($8550$∲⫓$1373$)⊴($2754$⨐⩸⫘$4126$))","expression":"↥((⋗⩬⋾⫖↰⪸2B87)⨰(⫖↰⪸7A5⨽⫖↰⪸2644)⋷(⫖↰⪸4B46∲⫓⫖↰⪸965)⊴(⫖↰⪸1716⨐⩸⫘⫖↰⪸247A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1165,"operation_count":8,"complexity_ratio":145.625,"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":5143,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1133,"base":12},"right_expr":{"type":"numeric_atoms","value":4372,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8550,"base":12},"right_expr":{"type":"numeric_atoms","value":1373,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2754,"base":12},"right_expr":{"type":"numeric_atoms","value":4126,"base":12}}}}},"used_operators":["A8NUZmVepG","23Mk6UjR3U","eewbuw0ToL","DpFCA1CohY","8HhzD0ZcuI","Nsiff2A1zJ","i8ToyICDmI","fu6greOZ01"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5143","layer":4},{"info":"compute unary expreesion, input=5143, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15429","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4372, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3862869","layer":3},{"info":"compute binary expreesion, left_input=-15429, right_input=-3862869, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3847450","layer":2},{"info":"number node, value=8550","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=8550, right_input=1373, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2754","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=4126, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3847450, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↥((⋗⩬⋾⫖↰⪸2B87)⨰(⫖↰⪸7A5⨽⫖↰⪸2644)⋷(⫖↰⪸4B46∲⫓⫖↰⪸965)⊴(⫖↰⪸1716⨐⩸⫘⫖↰⪸247A))=NaN","reverse_text":"NaN=↥((⋗⩬⋾⫖↰⪸2B87)⨰(⫖↰⪸7A5⨽⫖↰⪸2644)⋷(⫖↰⪸4B46∲⫓⫖↰⪸965)⊴(⫖↰⪸1716⨐⩸⫘⫖↰⪸247A))","cot":[{"info":"⋗⩬⋾⫖↰⪸2B87=⫖↰⪸-8B19","layer":3},{"info":"⫖↰⪸7A5⨽⫖↰⪸2644=⫖↰⪸-1363559","layer":3},{"info":"⫖↰⪸-8B19⨰⫖↰⪸-1363559=⫖↰⪸135664A","layer":2},{"info":"⫖↰⪸4B46∲⫓⫖↰⪸965=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1716⨐⩸⫘⫖↰⪸247A=NaN","layer":3},{"info":"⫖↰⪸0⊴NaN=NaN","layer":2},{"info":"⫖↰⪸135664A⋷NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"((($3731$⪄$1535$)⫌⩹⨱)*(≦∁$2669$)⫥∨⫟($2769$↙$1341$))≹⇙⪍(($5633$⪄$1765$)∼($3087$↺$1369$)∲⫓($6364$∼$1993$⊠≄⫣))","expression":"(((⫖↰⪸21AB⪄⫖↰⪸A7B)⫌⩹⨱)*(≦∁⫖↰⪸1665)⫥∨⫟(⫖↰⪸1729↙⫖↰⪸939))≹⇙⪍((⫖↰⪸3315⪄⫖↰⪸1031)∼(⫖↰⪸1953↺⫖↰⪸961)∲⫓(⫖↰⪸3824∼⫖↰⪸11A1⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18241,"operation_count":13,"complexity_ratio":1403.1538461538462,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3731,"base":12},"right_expr":{"type":"numeric_atoms","value":1535,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2669,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2769,"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":5633,"base":12},"right_expr":{"type":"numeric_atoms","value":1765,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3087,"base":12},"right_expr":{"type":"numeric_atoms","value":1369,"base":12}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6364,"base":12},"right_expr":{"type":"numeric_atoms","value":1993,"base":12}}}}},"used_operators":["AHs5Up7iyr","9HNa5Wba9A","EBcxylXtPf","SUmda5xLS4","KYD54nUTWz","9ICcGScMcE","yyfyN0ffXY","i8ToyICDmI","DyGG3AbaNP","7j4O788W3g","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3731","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=1535, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-554417","layer":3},{"info":"compute unary expreesion, input=-554417, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1107433","layer":2},{"info":"number node, value=2669","layer":4},{"info":"compute unary expreesion, input=2669, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2669","layer":3},{"info":"number node, value=2769","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=1341, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4023","layer":3},{"info":"compute binary expreesion, left_input=2669, right_input=-4023, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1107433, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5633","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=5633, right_input=1765, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-836833","layer":3},{"info":"number node, value=3087","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=1369, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1369","layer":3},{"info":"compute binary expreesion, left_input=-836833, right_input=1369, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=6364","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=6364, right_input=1993, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(((⫖↰⪸21AB⪄⫖↰⪸A7B)⫌⩹⨱)*(≦∁⫖↰⪸1665)⫥∨⫟(⫖↰⪸1729↙⫖↰⪸939))≹⇙⪍((⫖↰⪸3315⪄⫖↰⪸1031)∼(⫖↰⪸1953↺⫖↰⪸961)∲⫓(⫖↰⪸3824∼⫖↰⪸11A1⊠≄⫣))=NaN","reverse_text":"NaN=(((⫖↰⪸21AB⪄⫖↰⪸A7B)⫌⩹⨱)*(≦∁⫖↰⪸1665)⫥∨⫟(⫖↰⪸1729↙⫖↰⪸939))≹⇙⪍((⫖↰⪸3315⪄⫖↰⪸1031)∼(⫖↰⪸1953↺⫖↰⪸961)∲⫓(⫖↰⪸3824∼⫖↰⪸11A1⊠≄⫣))","cot":[{"info":"⫖↰⪸21AB⪄⫖↰⪸A7B=⫖↰⪸-228A15","layer":3},{"info":"⫖↰⪸-228A15⫌⩹⨱=⫖↰⪸-454A61","layer":2},{"info":"≦∁⫖↰⪸1665=⫖↰⪸1665","layer":3},{"info":"⫖↰⪸1729↙⫖↰⪸939=⫖↰⪸-23B3","layer":3},{"info":"⫖↰⪸1665⫥∨⫟⫖↰⪸-23B3=NaN","layer":2},{"info":"⫖↰⪸-454A61*NaN=NaN","layer":1},{"info":"⫖↰⪸3315⪄⫖↰⪸1031=⫖↰⪸-344341","layer":3},{"info":"⫖↰⪸1953↺⫖↰⪸961=⫖↰⪸961","layer":3},{"info":"⫖↰⪸-344341∼⫖↰⪸961=NaN","layer":2},{"info":"⫖↰⪸3824∼⫖↰⪸11A1=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"((($3592$⇼⇔∾$5158$)⨎$1532$⪛$3640$)⨓($1222$/$4254$⫡⨏$2244$⪘⫢$3235$))∼((↥$2583$)⫥∨⫟$1819$⋓$4921$⋷($2887$↪⪝)⋥≓≎(↩$1847$))","expression":"(((⫖↰⪸20B4⇼⇔∾⫖↰⪸2B9A)⨎⫖↰⪸A78⪛⫖↰⪸2134)⨓(⫖↰⪸85A/⫖↰⪸2566⫡⨏⫖↰⪸1370⪘⫢⫖↰⪸1A57))∼((↥⫖↰⪸15B3)⫥∨⫟⫖↰⪸1077⋓⫖↰⪸2A21⋷(⫖↰⪸1807↪⪝)⋥≓≎(↩⫖↰⪸109B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10674,"operation_count":15,"complexity_ratio":711.6,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3592,"base":12},"right_expr":{"type":"numeric_atoms","value":5158,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1532,"base":12},"right_expr":{"type":"numeric_atoms","value":3640,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1222,"base":12},"right_expr":{"type":"numeric_atoms","value":4254,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2244,"base":12},"right_expr":{"type":"numeric_atoms","value":3235,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2583,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1819,"base":12},"right_expr":{"type":"numeric_atoms","value":4921,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2887,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1847,"base":12}}}}},"used_operators":["DyGG3AbaNP","3ViojmjbAp","rJVOvQCfKK","tifHPKVTfV","uFcxV4UQCh","QMFrweE19q","XhwjNDsVaA","oacrs7FA3X","23Mk6UjR3U","KYD54nUTWz","A8NUZmVepG","T2fj7uvVaJ","Qy55tPpLXF","l07mrZUIn9","jLgFTUHLKL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","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=3592","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=5158, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1566","layer":3},{"info":"number node, value=1532","layer":4},{"info":"number node, value=3640","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=3640, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1532","layer":3},{"info":"compute binary expreesion, left_input=1566, right_input=1532, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1532","layer":2},{"info":"number node, value=1222","layer":4},{"info":"number node, value=4254","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=4254, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2244","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=3235, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4364, 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=9511","layer":2},{"info":"compute binary expreesion, left_input=1532, right_input=9511, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9514","layer":1},{"info":"number node, value=2583","layer":4},{"info":"compute unary expreesion, input=2583, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=33","layer":3},{"info":"number node, value=1819","layer":4},{"info":"number node, value=4921","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=4921, 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=33, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2887","layer":4},{"info":"compute unary expreesion, input=2887, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=176632434","layer":3},{"info":"number node, value=1847","layer":4},{"info":"compute unary expreesion, input=1847, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11996","layer":3},{"info":"compute binary expreesion, left_input=176632434, right_input=-11996, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-176656393","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-176656393, 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=-9514, 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":"(((⫖↰⪸20B4⇼⇔∾⫖↰⪸2B9A)⨎⫖↰⪸A78⪛⫖↰⪸2134)⨓(⫖↰⪸85A/⫖↰⪸2566⫡⨏⫖↰⪸1370⪘⫢⫖↰⪸1A57))∼((↥⫖↰⪸15B3)⫥∨⫟⫖↰⪸1077⋓⫖↰⪸2A21⋷(⫖↰⪸1807↪⪝)⋥≓≎(↩⫖↰⪸109B))=NaN","reverse_text":"NaN=(((⫖↰⪸20B4⇼⇔∾⫖↰⪸2B9A)⨎⫖↰⪸A78⪛⫖↰⪸2134)⨓(⫖↰⪸85A/⫖↰⪸2566⫡⨏⫖↰⪸1370⪘⫢⫖↰⪸1A57))∼((↥⫖↰⪸15B3)⫥∨⫟⫖↰⪸1077⋓⫖↰⪸2A21⋷(⫖↰⪸1807↪⪝)⋥≓≎(↩⫖↰⪸109B))","cot":[{"info":"⫖↰⪸20B4⇼⇔∾⫖↰⪸2B9A=⫖↰⪸AA6","layer":3},{"info":"⫖↰⪸A78⪛⫖↰⪸2134=⫖↰⪸A78","layer":3},{"info":"⫖↰⪸AA6⨎⫖↰⪸A78=⫖↰⪸A78","layer":2},{"info":"⫖↰⪸85A/⫖↰⪸2566=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1370⪘⫢⫖↰⪸1A57=⫖↰⪸2638","layer":3},{"info":"⫖↰⪸0⫡⨏⫖↰⪸2638=⫖↰⪸5607","layer":2},{"info":"⫖↰⪸A78⨓⫖↰⪸5607=⫖↰⪸-560A","layer":1},{"info":"↥⫖↰⪸15B3=⫖↰⪸29","layer":3},{"info":"⫖↰⪸1077⋓⫖↰⪸2A21=⫖↰⪸0","layer":3},{"info":"⫖↰⪸29⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1807↪⪝=⫖↰⪸4B1A1A16","layer":3},{"info":"↩⫖↰⪸109B=⫖↰⪸-6B38","layer":3},{"info":"⫖↰⪸4B1A1A16⋥≓≎⫖↰⪸-6B38=⫖↰⪸-4B1B3861","layer":2},{"info":"NaN⋷⫖↰⪸-4B1B3861=NaN","layer":1},{"info":"⫖↰⪸-560A∼NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"⪝⪂⫅(($6868$⪛$3579$)⊴($4936$⪠⩆⊳)⨵⪆(↣≠⋷($1185$⪛$3286$)))","expression":"⪝⪂⫅((⫖↰⪸3B84⪛⫖↰⪸20A3)⊴(⫖↰⪸2A34⪠⩆⊳)⨵⪆(↣≠⋷(⫖↰⪸829⪛⫖↰⪸1A9A)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":175,"operation_count":7,"complexity_ratio":25.0,"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":6868,"base":12},"right_expr":{"type":"numeric_atoms","value":3579,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4936,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1185,"base":12},"right_expr":{"type":"numeric_atoms","value":3286,"base":12}}}}},"used_operators":["XTarYq4gQB","2DQ55sFlQl","Nsiff2A1zJ","uFcxV4UQCh","JLbD19bQDL","Asc51vEJeQ"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"⫖↰⪸-11740","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6868","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=6868, right_input=3579, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3289","layer":3},{"info":"number node, value=4936","layer":4},{"info":"compute unary expreesion, input=4936, 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=3289, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=1185","layer":4},{"info":"number node, value=3286","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=3286, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1185","layer":3},{"info":"compute unary expreesion, input=1185, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=nan, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-23520","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅((⫖↰⪸3B84⪛⫖↰⪸20A3)⊴(⫖↰⪸2A34⪠⩆⊳)⨵⪆(↣≠⋷(⫖↰⪸829⪛⫖↰⪸1A9A)))=⫖↰⪸-11740","reverse_text":"⫖↰⪸-11740=⪝⪂⫅((⫖↰⪸3B84⪛⫖↰⪸20A3)⊴(⫖↰⪸2A34⪠⩆⊳)⨵⪆(↣≠⋷(⫖↰⪸829⪛⫖↰⪸1A9A)))","cot":[{"info":"⫖↰⪸3B84⪛⫖↰⪸20A3=⫖↰⪸1AA1","layer":3},{"info":"⫖↰⪸2A34⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1AA1⊴⫖↰⪸0=⫖↰⪸-67","layer":2},{"info":"⫖↰⪸829⪛⫖↰⪸1A9A=⫖↰⪸829","layer":3},{"info":"↣≠⋷⫖↰⪸829=NaN","layer":2},{"info":"⫖↰⪸-67⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⪝⪂⫅⫖↰⪸114=⫖↰⪸-11740","layer":0}]}
{"id":514,"expression_no_base_symbol":"↩($2141$⋝⋈⪟$5481$⋥≓≎($1662$⋷$4219$))⪮%⊝($1899$↺$3827$*($5985$*$1692$))","expression":"↩(⫖↰⪸12A5⋝⋈⪟⫖↰⪸3209⋥≓≎(⫖↰⪸B66⋷⫖↰⪸2537))⪮%⊝(⫖↰⪸1123↺⫖↰⪸226B*(⫖↰⪸3569*⫖↰⪸B90))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5559,"operation_count":8,"complexity_ratio":694.875,"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":2141,"base":12},"right_expr":{"type":"numeric_atoms","value":5481,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1662,"base":12},"right_expr":{"type":"numeric_atoms","value":4219,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1899,"base":12},"right_expr":{"type":"numeric_atoms","value":3827,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5985,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}}}}},"used_operators":["jLgFTUHLKL","IWmyXbctLI","Qy55tPpLXF","2DDjHMKMc0","23Mk6UjR3U","9HNa5Wba9A","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2141","layer":4},{"info":"number node, value=5481","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=5481, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2141","layer":3},{"info":"number node, value=1662","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=4219, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6776","layer":3},{"info":"compute binary expreesion, left_input=2141, right_input=6776, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11444","layer":2},{"info":"number node, value=1899","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=3827, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3827","layer":3},{"info":"number node, value=5985","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=5985, right_input=1692, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10126620","layer":3},{"info":"compute binary expreesion, left_input=3827, right_input=10126620, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"compute binary expreesion, left_input=11444, right_input=inf, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↩(⫖↰⪸12A5⋝⋈⪟⫖↰⪸3209⋥≓≎(⫖↰⪸B66⋷⫖↰⪸2537))⪮%⊝(⫖↰⪸1123↺⫖↰⪸226B*(⫖↰⪸3569*⫖↰⪸B90))=NaN","reverse_text":"NaN=↩(⫖↰⪸12A5⋝⋈⪟⫖↰⪸3209⋥≓≎(⫖↰⪸B66⋷⫖↰⪸2537))⪮%⊝(⫖↰⪸1123↺⫖↰⪸226B*(⫖↰⪸3569*⫖↰⪸B90))","cot":[{"info":"⫖↰⪸12A5⋝⋈⪟⫖↰⪸3209=⫖↰⪸12A5","layer":3},{"info":"⫖↰⪸B66⋷⫖↰⪸2537=⫖↰⪸3B08","layer":3},{"info":"⫖↰⪸12A5⋥≓≎⫖↰⪸3B08=⫖↰⪸6758","layer":2},{"info":"⫖↰⪸1123↺⫖↰⪸226B=⫖↰⪸226B","layer":3},{"info":"⫖↰⪸3569*⫖↰⪸B90=⫖↰⪸3484390","layer":3},{"info":"⫖↰⪸226B*⫖↰⪸3484390=Inf","layer":2},{"info":"⫖↰⪸6758⪮%⊝Inf=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(($1720$⨁⊸⫻)⇼⇔∾(⨵≀≌$1589$)⊭↱(⊥$2151$)↬($1904$⨵⪆$3764$))⩚⊴⇥(($6894$⋝⋈⪟$3047$)⊴($2536$⪨≂$1533$)⫡⨏(∂$1592$⨟⋌⩍$2535$))","expression":"((⫖↰⪸BB4⨁⊸⫻)⇼⇔∾(⨵≀≌⫖↰⪸B05)⊭↱(⊥⫖↰⪸12B3)↬(⫖↰⪸1128⨵⪆⫖↰⪸2218))⩚⊴⇥((⫖↰⪸3BA6⋝⋈⪟⫖↰⪸191B)⊴(⫖↰⪸1574⪨≂⫖↰⪸A79)⫡⨏(∂⫖↰⪸B08⨟⋌⩍⫖↰⪸1573))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2860,"operation_count":14,"complexity_ratio":204.28571428571428,"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":1720,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1589,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2151,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1904,"base":12},"right_expr":{"type":"numeric_atoms","value":3764,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6894,"base":12},"right_expr":{"type":"numeric_atoms","value":3047,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2536,"base":12},"right_expr":{"type":"numeric_atoms","value":1533,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1592,"base":12},"right_expr":{"type":"numeric_atoms","value":2535,"base":12}}}}},"used_operators":["NTOWxs364D","COABgblf1C","tifHPKVTfV","glklzrTFfD","srAu1WTS94","B5M0gjZbta","Q3PJZHRvZv","2DQ55sFlQl","QMFrweE19q","Nsiff2A1zJ","2DDjHMKMc0","sdazOOVcIp","Uaa54Peajs","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"compute unary expreesion, input=1720, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1720","layer":3},{"info":"number node, value=1589","layer":4},{"info":"compute unary expreesion, input=1589, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4767","layer":3},{"info":"compute binary expreesion, left_input=1720, right_input=-4767, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6487","layer":2},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=3764, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-6487, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=6894","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=6894, right_input=3047, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6894","layer":3},{"info":"number node, value=2536","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=1533, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2108","layer":3},{"info":"compute binary expreesion, left_input=6894, right_input=2108, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1592","layer":4},{"info":"number node, value=2535","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=2535, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"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":"((⫖↰⪸BB4⨁⊸⫻)⇼⇔∾(⨵≀≌⫖↰⪸B05)⊭↱(⊥⫖↰⪸12B3)↬(⫖↰⪸1128⨵⪆⫖↰⪸2218))⩚⊴⇥((⫖↰⪸3BA6⋝⋈⪟⫖↰⪸191B)⊴(⫖↰⪸1574⪨≂⫖↰⪸A79)⫡⨏(∂⫖↰⪸B08⨟⋌⩍⫖↰⪸1573))=NaN","reverse_text":"NaN=((⫖↰⪸BB4⨁⊸⫻)⇼⇔∾(⨵≀≌⫖↰⪸B05)⊭↱(⊥⫖↰⪸12B3)↬(⫖↰⪸1128⨵⪆⫖↰⪸2218))⩚⊴⇥((⫖↰⪸3BA6⋝⋈⪟⫖↰⪸191B)⊴(⫖↰⪸1574⪨≂⫖↰⪸A79)⫡⨏(∂⫖↰⪸B08⨟⋌⩍⫖↰⪸1573))","cot":[{"info":"⫖↰⪸BB4⨁⊸⫻=⫖↰⪸BB4","layer":3},{"info":"⨵≀≌⫖↰⪸B05=⫖↰⪸-2913","layer":3},{"info":"⫖↰⪸BB4⇼⇔∾⫖↰⪸-2913=⫖↰⪸-3907","layer":2},{"info":"⊥⫖↰⪸12B3=NaN","layer":3},{"info":"⫖↰⪸1128⨵⪆⫖↰⪸2218=⫖↰⪸114","layer":3},{"info":"NaN↬⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸-3907⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸3BA6⋝⋈⪟⫖↰⪸191B=⫖↰⪸3BA6","layer":3},{"info":"⫖↰⪸1574⪨≂⫖↰⪸A79=⫖↰⪸1278","layer":3},{"info":"⫖↰⪸3BA6⊴⫖↰⪸1278=NaN","layer":2},{"info":"⫖↰⪸B08⨟⋌⩍⫖↰⪸1573=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"+⊝⨔(($2555$∼$2371$⨵⪆($1804$⫡⨏$2787$))≎⊠⪸(↔(≉$6886$)))","expression":"+⊝⨔((⫖↰⪸158B∼⫖↰⪸1457⨵⪆(⫖↰⪸1064⫡⨏⫖↰⪸1743))≎⊠⪸(↔(≉⫖↰⪸3B9A)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":100,"operation_count":7,"complexity_ratio":14.285714285714286,"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":2555,"base":12},"right_expr":{"type":"numeric_atoms","value":2371,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1804,"base":12},"right_expr":{"type":"numeric_atoms","value":2787,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6886,"base":12}}}}},"used_operators":["DhbWaqg5eL","bJkvcejdHO","2DQ55sFlQl","DyGG3AbaNP","QMFrweE19q","ruOEQAzv1W","e1ybzncUwg"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=2371, 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=1804","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=2787, 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=15377","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15377, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6886","layer":4},{"info":"compute unary expreesion, input=6886, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7417","layer":3},{"info":"compute unary expreesion, input=7417, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7144","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-7144, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 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":"+⊝⨔((⫖↰⪸158B∼⫖↰⪸1457⨵⪆(⫖↰⪸1064⫡⨏⫖↰⪸1743))≎⊠⪸(↔(≉⫖↰⪸3B9A)))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔((⫖↰⪸158B∼⫖↰⪸1457⨵⪆(⫖↰⪸1064⫡⨏⫖↰⪸1743))≎⊠⪸(↔(≉⫖↰⪸3B9A)))","cot":[{"info":"⫖↰⪸158B∼⫖↰⪸1457=NaN","layer":3},{"info":"⫖↰⪸1064⫡⨏⫖↰⪸1743=⫖↰⪸8A95","layer":3},{"info":"NaN⨵⪆⫖↰⪸8A95=⫖↰⪸114","layer":2},{"info":"≉⫖↰⪸3B9A=⫖↰⪸4361","layer":3},{"info":"↔⫖↰⪸4361=⫖↰⪸-4174","layer":2},{"info":"⫖↰⪸114≎⊠⪸⫖↰⪸-4174=⫖↰⪸57","layer":1},{"info":"+⊝⨔⫖↰⪸57=⫖↰⪸A6A","layer":0}]}
{"id":517,"expression_no_base_symbol":"↩((($4124$⨸⪁$3625$)≣⋋)⋷($2244$*$1174$+$3388$⪮%⊝$1159$))","expression":"↩(((⫖↰⪸2478⨸⪁⫖↰⪸2121)≣⋋)⋷(⫖↰⪸1370*⫖↰⪸81A+⫖↰⪸1B64⪮%⊝⫖↰⪸807))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1722,"operation_count":7,"complexity_ratio":246.0,"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":4124,"base":12},"right_expr":{"type":"numeric_atoms","value":3625,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2244,"base":12},"right_expr":{"type":"numeric_atoms","value":1174,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3388,"base":12},"right_expr":{"type":"numeric_atoms","value":1159,"base":12}}}}},"used_operators":["jLgFTUHLKL","23Mk6UjR3U","Tcnh7f0tEr","g55IO6H4Gj","W4YGzv6Whe","9HNa5Wba9A","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸2978","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4124","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=4124, right_input=3625, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15498","layer":3},{"info":"compute unary expreesion, input=15498, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=2244","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1174, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2634456","layer":3},{"info":"number node, value=3388","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=1159, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7092","layer":3},{"info":"compute binary expreesion, left_input=2634456, right_input=7092, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2641548","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2641548, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":12,"result_base":12,"text":"↩(((⫖↰⪸2478⨸⪁⫖↰⪸2121)≣⋋)⋷(⫖↰⪸1370*⫖↰⪸81A+⫖↰⪸1B64⪮%⊝⫖↰⪸807))=⫖↰⪸2978","reverse_text":"⫖↰⪸2978=↩(((⫖↰⪸2478⨸⪁⫖↰⪸2121)≣⋋)⋷(⫖↰⪸1370*⫖↰⪸81A+⫖↰⪸1B64⪮%⊝⫖↰⪸807))","cot":[{"info":"⫖↰⪸2478⨸⪁⫖↰⪸2121=⫖↰⪸8B76","layer":3},{"info":"⫖↰⪸8B76≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1370*⫖↰⪸81A=⫖↰⪸A706A0","layer":3},{"info":"⫖↰⪸1B64⪮%⊝⫖↰⪸807=⫖↰⪸4130","layer":3},{"info":"⫖↰⪸A706A0+⫖↰⪸4130=⫖↰⪸A74810","layer":2},{"info":"⫖↰⪸0⋷⫖↰⪸A74810=⫖↰⪸0","layer":1},{"info":"↩⫖↰⪸0=⫖↰⪸2978","layer":0}]}
{"id":518,"expression_no_base_symbol":"((↔($2278$⪛$6053$))+$4786$⊭↱$1883$⨸⪁$1264$⪢$4465$)⇷((($2793$*$4675$)⫥∨⫟$1160$⨟⋌⩍$1409$)⨓($4527$⨳⩥⨓$9639$↺$1013$∼$1155$))","expression":"((↔(⫖↰⪸139A⪛⫖↰⪸3605))+⫖↰⪸292A⊭↱⫖↰⪸110B⨸⪁⫖↰⪸894⪢⫖↰⪸2701)⇷(((⫖↰⪸1749*⫖↰⪸2857)⫥∨⫟⫖↰⪸808⨟⋌⩍⫖↰⪸995)⨓(⫖↰⪸2753⨳⩥⨓⫖↰⪸56B3↺⫖↰⪸705∼⫖↰⪸803))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7474,"operation_count":14,"complexity_ratio":533.8571428571429,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2278,"base":12},"right_expr":{"type":"numeric_atoms","value":6053,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4786,"base":12},"right_expr":{"type":"numeric_atoms","value":1883,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1264,"base":12},"right_expr":{"type":"numeric_atoms","value":4465,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2793,"base":12},"right_expr":{"type":"numeric_atoms","value":4675,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1160,"base":12},"right_expr":{"type":"numeric_atoms","value":1409,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4527,"base":12},"right_expr":{"type":"numeric_atoms","value":9639,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1013,"base":12},"right_expr":{"type":"numeric_atoms","value":1155,"base":12}}}}},"used_operators":["mp7IySMOzn","W4YGzv6Whe","ruOEQAzv1W","uFcxV4UQCh","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9","3ViojmjbAp","KYD54nUTWz","9HNa5Wba9A","rGHVDoGpnC","7j4O788W3g","nCS4ZIUYfx","DyGG3AbaNP"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":4},{"info":"number node, value=6053","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=6053, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2278","layer":3},{"info":"compute unary expreesion, input=2278, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2005","layer":2},{"info":"number node, value=4786","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=4786, right_input=1883, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5801","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=4465, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=-5801, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2005, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2793","layer":4},{"info":"number node, value=4675","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=4675, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13057275","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1409, 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=13057275, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4527","layer":4},{"info":"number node, value=9639","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=9639, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5112","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1155, 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=5112, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↔(⫖↰⪸139A⪛⫖↰⪸3605))+⫖↰⪸292A⊭↱⫖↰⪸110B⨸⪁⫖↰⪸894⪢⫖↰⪸2701)⇷(((⫖↰⪸1749*⫖↰⪸2857)⫥∨⫟⫖↰⪸808⨟⋌⩍⫖↰⪸995)⨓(⫖↰⪸2753⨳⩥⨓⫖↰⪸56B3↺⫖↰⪸705∼⫖↰⪸803))=NaN","reverse_text":"NaN=((↔(⫖↰⪸139A⪛⫖↰⪸3605))+⫖↰⪸292A⊭↱⫖↰⪸110B⨸⪁⫖↰⪸894⪢⫖↰⪸2701)⇷(((⫖↰⪸1749*⫖↰⪸2857)⫥∨⫟⫖↰⪸808⨟⋌⩍⫖↰⪸995)⨓(⫖↰⪸2753⨳⩥⨓⫖↰⪸56B3↺⫖↰⪸705∼⫖↰⪸803))","cot":[{"info":"⫖↰⪸139A⪛⫖↰⪸3605=⫖↰⪸139A","layer":3},{"info":"↔⫖↰⪸139A=⫖↰⪸-11B1","layer":2},{"info":"⫖↰⪸292A⊭↱⫖↰⪸110B=⫖↰⪸-3435","layer":3},{"info":"⫖↰⪸894⪢⫖↰⪸2701=NaN","layer":3},{"info":"⫖↰⪸-3435⨸⪁NaN=NaN","layer":2},{"info":"⫖↰⪸-11B1+NaN=NaN","layer":1},{"info":"⫖↰⪸1749*⫖↰⪸2857=⫖↰⪸4458363","layer":3},{"info":"⫖↰⪸808⨟⋌⩍⫖↰⪸995=NaN","layer":3},{"info":"⫖↰⪸4458363⫥∨⫟NaN=NaN","layer":2},{"info":"⫖↰⪸2753⨳⩥⨓⫖↰⪸56B3=⫖↰⪸2B60","layer":3},{"info":"⫖↰⪸705∼⫖↰⪸803=NaN","layer":3},{"info":"⫖↰⪸2B60↺NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"≉($3167$∲⫓$1075$⨵⪆(⇁⨣⪵$1145$))⫸⊐((⨑⩽⪐$7466$)⫡⨏$1914$⇷$2940$)","expression":"≉(⫖↰⪸19BB∲⫓⫖↰⪸757⨵⪆(⇁⨣⪵⫖↰⪸7B5))⫸⊐((⨑⩽⪐⫖↰⪸43A2)⫡⨏⫖↰⪸1136⇷⫖↰⪸1850)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26823,"operation_count":8,"complexity_ratio":3352.875,"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":3167,"base":12},"right_expr":{"type":"numeric_atoms","value":1075,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1145,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7466,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1914,"base":12},"right_expr":{"type":"numeric_atoms","value":2940,"base":12}}}}},"used_operators":["e1ybzncUwg","mqXw5SEYmG","2DQ55sFlQl","i8ToyICDmI","inkyxCbjAn","QMFrweE19q","AF7qkfDlqP","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸5AB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3167","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=1075, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=7466","layer":4},{"info":"compute unary expreesion, input=7466, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7193","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=2940, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5880","layer":3},{"info":"compute binary expreesion, left_input=-7193, right_input=5880, 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=-23422","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-23422, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":1},{"info":"compute unary expreesion, input=320, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=851","layer":0}],"base":12,"result_base":12,"text":"≉(⫖↰⪸19BB∲⫓⫖↰⪸757⨵⪆(⇁⨣⪵⫖↰⪸7B5))⫸⊐((⨑⩽⪐⫖↰⪸43A2)⫡⨏⫖↰⪸1136⇷⫖↰⪸1850)=⫖↰⪸5AB","reverse_text":"⫖↰⪸5AB=≉(⫖↰⪸19BB∲⫓⫖↰⪸757⨵⪆(⇁⨣⪵⫖↰⪸7B5))⫸⊐((⨑⩽⪐⫖↰⪸43A2)⫡⨏⫖↰⪸1136⇷⫖↰⪸1850)","cot":[{"info":"⫖↰⪸19BB∲⫓⫖↰⪸757=⫖↰⪸0","layer":3},{"info":"⇁⨣⪵⫖↰⪸7B5=NaN","layer":3},{"info":"⫖↰⪸0⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⨑⩽⪐⫖↰⪸43A2=⫖↰⪸-41B5","layer":3},{"info":"⫖↰⪸1136⇷⫖↰⪸1850=⫖↰⪸34A0","layer":3},{"info":"⫖↰⪸-41B5⫡⨏⫖↰⪸34A0=⫖↰⪸-1167A","layer":2},{"info":"⫖↰⪸114⫸⊐⫖↰⪸-1167A=⫖↰⪸228","layer":1},{"info":"≉⫖↰⪸228=⫖↰⪸5AB","layer":0}]}
{"id":520,"expression_no_base_symbol":"($1449$≭$5234$↙(⊥$3816$)⪨≂(+⊝⨔($2354$⫸⊐$5853$)))∑⇟⊟(($3371$⪄$2354$⨸⪁$1569$∼$3497$)⋝⋈⪟(⋗⩬⋾$1192$⩚⊴⇥$6378$))","expression":"(⫖↰⪸A09≭⫖↰⪸3042↙(⊥⫖↰⪸2260)⪨≂(+⊝⨔(⫖↰⪸1442⫸⊐⫖↰⪸3479)))∑⇟⊟((⫖↰⪸1B4B⪄⫖↰⪸1442⨸⪁⫖↰⪸AA9∼⫖↰⪸2035)⋝⋈⪟(⋗⩬⋾⫖↰⪸834⩚⊴⇥⫖↰⪸3836))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":212,"operation_count":13,"complexity_ratio":16.307692307692307,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1449,"base":12},"right_expr":{"type":"numeric_atoms","value":5234,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3816,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2354,"base":12},"right_expr":{"type":"numeric_atoms","value":5853,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3371,"base":12},"right_expr":{"type":"numeric_atoms","value":2354,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1569,"base":12},"right_expr":{"type":"numeric_atoms","value":3497,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1192,"base":12},"right_expr":{"type":"numeric_atoms","value":6378,"base":12}}}}},"used_operators":["U7g4x0WXJJ","sdazOOVcIp","yyfyN0ffXY","rxpJgHHUmx","Q3PJZHRvZv","DhbWaqg5eL","mqXw5SEYmG","2DDjHMKMc0","g55IO6H4Gj","SUmda5xLS4","DyGG3AbaNP","DpFCA1CohY","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","fu6greOZ01","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=5234","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=5234, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3816","layer":4},{"info":"compute unary expreesion, input=3816, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2354","layer":4},{"info":"number node, value=5853","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=5853, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23287","layer":3},{"info":"compute unary expreesion, input=23287, 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 = 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=3371","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=3371, right_input=2354, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-504413","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=3497, 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=-504413, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1192","layer":4},{"info":"number node, value=6378","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=6378, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7691","layer":3},{"info":"compute unary expreesion, input=-7691, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=23073","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23073, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A09≭⫖↰⪸3042↙(⊥⫖↰⪸2260)⪨≂(+⊝⨔(⫖↰⪸1442⫸⊐⫖↰⪸3479)))∑⇟⊟((⫖↰⪸1B4B⪄⫖↰⪸1442⨸⪁⫖↰⪸AA9∼⫖↰⪸2035)⋝⋈⪟(⋗⩬⋾⫖↰⪸834⩚⊴⇥⫖↰⪸3836))=NaN","reverse_text":"NaN=(⫖↰⪸A09≭⫖↰⪸3042↙(⊥⫖↰⪸2260)⪨≂(+⊝⨔(⫖↰⪸1442⫸⊐⫖↰⪸3479)))∑⇟⊟((⫖↰⪸1B4B⪄⫖↰⪸1442⨸⪁⫖↰⪸AA9∼⫖↰⪸2035)⋝⋈⪟(⋗⩬⋾⫖↰⪸834⩚⊴⇥⫖↰⪸3836))","cot":[{"info":"⫖↰⪸A09≭⫖↰⪸3042=NaN","layer":3},{"info":"⊥⫖↰⪸2260=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"⫖↰⪸1442⫸⊐⫖↰⪸3479=⫖↰⪸11587","layer":3},{"info":"+⊝⨔⫖↰⪸11587=⫖↰⪸A6A","layer":2},{"info":"NaN⪨≂⫖↰⪸A6A=NaN","layer":1},{"info":"⫖↰⪸1B4B⪄⫖↰⪸1442=⫖↰⪸-203AA5","layer":3},{"info":"⫖↰⪸AA9∼⫖↰⪸2035=NaN","layer":3},{"info":"⫖↰⪸-203AA5⨸⪁NaN=NaN","layer":2},{"info":"⫖↰⪸834⩚⊴⇥⫖↰⪸3836=⫖↰⪸-454B","layer":3},{"info":"⋗⩬⋾⫖↰⪸-454B=⫖↰⪸11429","layer":2},{"info":"NaN⋝⋈⪟⫖↰⪸11429=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"⨞⊢($1008$≧⫂∧$2682$⋳⪒($1168$⪨≂$2320$)/($1314$⨽$4768$)⇷($5041$⨳⩥⨓$3281$))","expression":"⨞⊢(⫖↰⪸700≧⫂∧⫖↰⪸1676⋳⪒(⫖↰⪸814⪨≂⫖↰⪸1414)/(⫖↰⪸916⨽⫖↰⪸2914)⇷(⫖↰⪸2B01⨳⩥⨓⫖↰⪸1A95))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1351,"operation_count":8,"complexity_ratio":168.875,"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":1008,"base":12},"right_expr":{"type":"numeric_atoms","value":2682,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1168,"base":12},"right_expr":{"type":"numeric_atoms","value":2320,"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":4768,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5041,"base":12},"right_expr":{"type":"numeric_atoms","value":3281,"base":12}}}}},"used_operators":["xUOZtlo3hN","XhwjNDsVaA","12rbrZMWeM","Ph9nP6C5qx","sdazOOVcIp","mp7IySMOzn","8HhzD0ZcuI","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2682, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2209","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=2320, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2202","layer":3},{"info":"compute binary expreesion, left_input=2209, right_input=-2202, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6333","layer":2},{"info":"number node, value=1314","layer":4},{"info":"number node, value=4768","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=4768, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5192778","layer":3},{"info":"number node, value=5041","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=3281, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1760","layer":3},{"info":"compute binary expreesion, left_input=-5192778, right_input=-1760, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6333, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨞⊢(⫖↰⪸700≧⫂∧⫖↰⪸1676⋳⪒(⫖↰⪸814⪨≂⫖↰⪸1414)/(⫖↰⪸916⨽⫖↰⪸2914)⇷(⫖↰⪸2B01⨳⩥⨓⫖↰⪸1A95))=NaN","reverse_text":"NaN=⨞⊢(⫖↰⪸700≧⫂∧⫖↰⪸1676⋳⪒(⫖↰⪸814⪨≂⫖↰⪸1414)/(⫖↰⪸916⨽⫖↰⪸2914)⇷(⫖↰⪸2B01⨳⩥⨓⫖↰⪸1A95))","cot":[{"info":"⫖↰⪸700≧⫂∧⫖↰⪸1676=⫖↰⪸1341","layer":3},{"info":"⫖↰⪸814⪨≂⫖↰⪸1414=⫖↰⪸-1336","layer":3},{"info":"⫖↰⪸1341⋳⪒⫖↰⪸-1336=⫖↰⪸37B9","layer":2},{"info":"⫖↰⪸916⨽⫖↰⪸2914=⫖↰⪸-18A50B6","layer":3},{"info":"⫖↰⪸2B01⨳⩥⨓⫖↰⪸1A95=⫖↰⪸-1028","layer":3},{"info":"⫖↰⪸-18A50B6⇷⫖↰⪸-1028=NaN","layer":2},{"info":"⫖↰⪸37B9/NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"($6950$≧⫂∧$2299$)⊴($2482$≧⫂∧$1513$)∀⇚≩(+⊝⨔($2767$⨸⪁$1186$))⩷∴(($2396$*$1448$∲⫓$6017$⪛$1717$)⨎($1416$⨳⩥⨓$1798$)↬(↩$7642$))","expression":"(⫖↰⪸4032≧⫂∧⫖↰⪸13B7)⊴(⫖↰⪸152A≧⫂∧⫖↰⪸A61)∀⇚≩(+⊝⨔(⫖↰⪸1727⨸⪁⫖↰⪸82A))⩷∴((⫖↰⪸1478*⫖↰⪸A08∲⫓⫖↰⪸3595⪛⫖↰⪸BB1)⨎(⫖↰⪸9A0⨳⩥⨓⫖↰⪸105A)↬(↩⫖↰⪸450A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3531,"operation_count":14,"complexity_ratio":252.21428571428572,"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":6950,"base":12},"right_expr":{"type":"numeric_atoms","value":2299,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2482,"base":12},"right_expr":{"type":"numeric_atoms","value":1513,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2767,"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":2396,"base":12},"right_expr":{"type":"numeric_atoms","value":1448,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6017,"base":12},"right_expr":{"type":"numeric_atoms","value":1717,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":1798,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7642,"base":12}}}}},"used_operators":["9FxExcQeMw","LRNGc0VcxI","Nsiff2A1zJ","Ph9nP6C5qx","DhbWaqg5eL","g55IO6H4Gj","rJVOvQCfKK","i8ToyICDmI","9HNa5Wba9A","uFcxV4UQCh","B5M0gjZbta","nCS4ZIUYfx","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","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=6950","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=6950, right_input=2299, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1826","layer":3},{"info":"number node, value=2482","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=1513, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1040","layer":3},{"info":"compute binary expreesion, left_input=1826, right_input=1040, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2767","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=1186, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7906","layer":3},{"info":"compute unary expreesion, input=7906, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2396","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=1448, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3469408","layer":3},{"info":"number node, value=6017","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=6017, right_input=1717, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=866","layer":3},{"info":"compute binary expreesion, left_input=3469408, right_input=866, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1798, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=382","layer":3},{"info":"number node, value=7642","layer":4},{"info":"compute unary expreesion, input=7642, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-58356","layer":3},{"info":"compute binary expreesion, left_input=382, right_input=-58356, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4032≧⫂∧⫖↰⪸13B7)⊴(⫖↰⪸152A≧⫂∧⫖↰⪸A61)∀⇚≩(+⊝⨔(⫖↰⪸1727⨸⪁⫖↰⪸82A))⩷∴((⫖↰⪸1478*⫖↰⪸A08∲⫓⫖↰⪸3595⪛⫖↰⪸BB1)⨎(⫖↰⪸9A0⨳⩥⨓⫖↰⪸105A)↬(↩⫖↰⪸450A))=NaN","reverse_text":"NaN=(⫖↰⪸4032≧⫂∧⫖↰⪸13B7)⊴(⫖↰⪸152A≧⫂∧⫖↰⪸A61)∀⇚≩(+⊝⨔(⫖↰⪸1727⨸⪁⫖↰⪸82A))⩷∴((⫖↰⪸1478*⫖↰⪸A08∲⫓⫖↰⪸3595⪛⫖↰⪸BB1)⨎(⫖↰⪸9A0⨳⩥⨓⫖↰⪸105A)↬(↩⫖↰⪸450A))","cot":[{"info":"⫖↰⪸4032≧⫂∧⫖↰⪸13B7=⫖↰⪸1082","layer":3},{"info":"⫖↰⪸152A≧⫂∧⫖↰⪸A61=⫖↰⪸728","layer":3},{"info":"⫖↰⪸1082⊴⫖↰⪸728=NaN","layer":2},{"info":"⫖↰⪸1727⨸⪁⫖↰⪸82A=⫖↰⪸46AA","layer":3},{"info":"+⊝⨔⫖↰⪸46AA=⫖↰⪸A6A","layer":2},{"info":"NaN∀⇚≩⫖↰⪸A6A=NaN","layer":1},{"info":"⫖↰⪸1478*⫖↰⪸A08=⫖↰⪸11B3914","layer":3},{"info":"⫖↰⪸3595⪛⫖↰⪸BB1=⫖↰⪸602","layer":3},{"info":"⫖↰⪸11B3914∲⫓⫖↰⪸602=⫖↰⪸0","layer":2},{"info":"⫖↰⪸9A0⨳⩥⨓⫖↰⪸105A=⫖↰⪸27A","layer":3},{"info":"↩⫖↰⪸450A=⫖↰⪸-29930","layer":3},{"info":"⫖↰⪸27A↬⫖↰⪸-29930=NaN","layer":2},{"info":"⫖↰⪸0⨎NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":523,"expression_no_base_symbol":"($1390$/$1107$)∼(⨈⫕$1035$)⫸⊐($1637$⊴$7975$)⊴(-$3305$)⨵⪆(↔(≤/$5327$∀⇚≩$3154$))","expression":"(⫖↰⪸97A/⫖↰⪸783)∼(⨈⫕⫖↰⪸723)⫸⊐(⫖↰⪸B45⊴⫖↰⪸4747)⊴(-⫖↰⪸1AB5)⨵⪆(↔(≤/⫖↰⪸30BB∀⇚≩⫖↰⪸19AA))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49102,"operation_count":11,"complexity_ratio":4463.818181818182,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1390,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1035,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1637,"base":12},"right_expr":{"type":"numeric_atoms","value":7975,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3305,"base":12}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5327,"base":12},"right_expr":{"type":"numeric_atoms","value":3154,"base":12}}}}},"used_operators":["2DQ55sFlQl","mqXw5SEYmG","DyGG3AbaNP","XhwjNDsVaA","megm06wKyl","Nsiff2A1zJ","t8gj7n24qd","ruOEQAzv1W","eLAdDNolq6","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","X99M06cbEe"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1107, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, 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=1, right_input=-21, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=1637","layer":4},{"info":"number node, value=7975","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=7975, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3305","layer":4},{"info":"compute unary expreesion, input=3305, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3305","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3305, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"number node, value=5327","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=5327, right_input=3154, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-134, 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":"(⫖↰⪸97A/⫖↰⪸783)∼(⨈⫕⫖↰⪸723)⫸⊐(⫖↰⪸B45⊴⫖↰⪸4747)⊴(-⫖↰⪸1AB5)⨵⪆(↔(≤/⫖↰⪸30BB∀⇚≩⫖↰⪸19AA))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸97A/⫖↰⪸783)∼(⨈⫕⫖↰⪸723)⫸⊐(⫖↰⪸B45⊴⫖↰⪸4747)⊴(-⫖↰⪸1AB5)⨵⪆(↔(≤/⫖↰⪸30BB∀⇚≩⫖↰⪸19AA))","cot":[{"info":"⫖↰⪸97A/⫖↰⪸783=⫖↰⪸1","layer":3},{"info":"⨈⫕⫖↰⪸723=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1∼⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⫖↰⪸B45⊴⫖↰⪸4747=NaN","layer":3},{"info":"-⫖↰⪸1AB5=⫖↰⪸-1AB5","layer":3},{"info":"NaN⊴⫖↰⪸-1AB5=NaN","layer":2},{"info":"⫖↰⪸0⫸⊐NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸30BB∀⇚≩⫖↰⪸19AA=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"↔NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸0⨵⪆⫖↰⪸-B2=⫖↰⪸114","layer":0}]}
{"id":524,"expression_no_base_symbol":"($1144$⊴$1810$⨎($1057$⪄$6466$)%($2596$⨳⩥⨓$2022$)⋓(⨈⫕$5848$))≎⊠⪸($4476$⋝⋈⪟$2483$⨎($2730$⊠≄⫣)/($6954$≭$2230$)∼($1156$⊉≛↸$1925$))","expression":"(⫖↰⪸7B4⊴⫖↰⪸106A⨎(⫖↰⪸741⪄⫖↰⪸38AA)%(⫖↰⪸1604⨳⩥⨓⫖↰⪸1206)⋓(⨈⫕⫖↰⪸3474))≎⊠⪸(⫖↰⪸2710⋝⋈⪟⫖↰⪸152B⨎(⫖↰⪸16B6⊠≄⫣)/(⫖↰⪸4036≭⫖↰⪸135A)∼(⫖↰⪸804⊉≛↸⫖↰⪸1145))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2340,"operation_count":15,"complexity_ratio":156.0,"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":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":1810,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1057,"base":12},"right_expr":{"type":"numeric_atoms","value":6466,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2596,"base":12},"right_expr":{"type":"numeric_atoms","value":2022,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5848,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4476,"base":12},"right_expr":{"type":"numeric_atoms","value":2483,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2730,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6954,"base":12},"right_expr":{"type":"numeric_atoms","value":2230,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1156,"base":12},"right_expr":{"type":"numeric_atoms","value":1925,"base":12}}}}},"used_operators":["bJkvcejdHO","k8jYdgA6NY","rJVOvQCfKK","Nsiff2A1zJ","SUmda5xLS4","T2fj7uvVaJ","nCS4ZIUYfx","megm06wKyl","XhwjNDsVaA","2DDjHMKMc0","DIvbN7qnHd","DyGG3AbaNP","rxpJgHHUmx","DZ8iAZOCBD"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1144","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1810, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=6466","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=6466, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-178389","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-178389, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-178389","layer":2},{"info":"number node, value=2596","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=2022, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-574","layer":3},{"info":"number node, value=5848","layer":4},{"info":"compute unary expreesion, input=5848, 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=-574, right_input=-21, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-178389, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4476","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=4476, right_input=2483, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4476","layer":3},{"info":"number node, value=2730","layer":4},{"info":"compute unary expreesion, input=2730, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4476, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=6954","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=6954, right_input=2230, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1156","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=1925, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2312","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2312, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸7B4⊴⫖↰⪸106A⨎(⫖↰⪸741⪄⫖↰⪸38AA)%(⫖↰⪸1604⨳⩥⨓⫖↰⪸1206)⋓(⨈⫕⫖↰⪸3474))≎⊠⪸(⫖↰⪸2710⋝⋈⪟⫖↰⪸152B⨎(⫖↰⪸16B6⊠≄⫣)/(⫖↰⪸4036≭⫖↰⪸135A)∼(⫖↰⪸804⊉≛↸⫖↰⪸1145))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸7B4⊴⫖↰⪸106A⨎(⫖↰⪸741⪄⫖↰⪸38AA)%(⫖↰⪸1604⨳⩥⨓⫖↰⪸1206)⋓(⨈⫕⫖↰⪸3474))≎⊠⪸(⫖↰⪸2710⋝⋈⪟⫖↰⪸152B⨎(⫖↰⪸16B6⊠≄⫣)/(⫖↰⪸4036≭⫖↰⪸135A)∼(⫖↰⪸804⊉≛↸⫖↰⪸1145))","cot":[{"info":"⫖↰⪸7B4⊴⫖↰⪸106A=NaN","layer":3},{"info":"⫖↰⪸741⪄⫖↰⪸38AA=⫖↰⪸-87299","layer":3},{"info":"NaN⨎⫖↰⪸-87299=⫖↰⪸-87299","layer":2},{"info":"⫖↰⪸1604⨳⩥⨓⫖↰⪸1206=⫖↰⪸-3BA","layer":3},{"info":"⨈⫕⫖↰⪸3474=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-3BA⋓⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-87299%⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2710⋝⋈⪟⫖↰⪸152B=⫖↰⪸2710","layer":3},{"info":"⫖↰⪸16B6⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2710⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4036≭⫖↰⪸135A=NaN","layer":3},{"info":"⫖↰⪸804⊉≛↸⫖↰⪸1145=⫖↰⪸1408","layer":3},{"info":"NaN∼⫖↰⪸1408=NaN","layer":2},{"info":"⫖↰⪸0/NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":525,"expression_no_base_symbol":"(↣≠⋷($2586$⩚⊴⇥$1144$))⫡⨏((⊄⩳↩$1155$)∧)⋷((⫓⪴$1539$)⋷$1042$⊉≛↸$1070$+($7217$+$1999$)⫥∨⫟($3336$↛⩡⫤))","expression":"(↣≠⋷(⫖↰⪸15B6⩚⊴⇥⫖↰⪸7B4))⫡⨏((⊄⩳↩⫖↰⪸803)∧)⋷((⫓⪴⫖↰⪸A83)⋷⫖↰⪸72A⊉≛↸⫖↰⪸752+(⫖↰⪸4215+⫖↰⪸11A7)⫥∨⫟(⫖↰⪸1B20↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11868,"operation_count":13,"complexity_ratio":912.9230769230769,"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":2586,"base":12},"right_expr":{"type":"numeric_atoms","value":1144,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1155,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1539,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1042,"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":7217,"base":12},"right_expr":{"type":"numeric_atoms","value":1999,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3336,"base":12}}}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","Asc51vEJeQ","NTOWxs364D","z63VuFQld9","8w2t5hMYqp","W4YGzv6Whe","eLxqMNBOBk","DZ8iAZOCBD","KYD54nUTWz","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2586","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1144, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3851","layer":3},{"info":"compute unary expreesion, input=-3851, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3465","layer":3},{"info":"compute unary expreesion, input=-3465, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1539","layer":4},{"info":"compute unary expreesion, input=1539, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2368521","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1070, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2084","layer":3},{"info":"compute binary expreesion, left_input=2368521, right_input=2084, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2364353","layer":2},{"info":"number node, value=7217","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=7217, right_input=1999, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9216","layer":3},{"info":"number node, value=3336","layer":4},{"info":"compute unary expreesion, input=3336, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-499825","layer":3},{"info":"compute binary expreesion, left_input=9216, right_input=-499825, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2364353, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(↣≠⋷(⫖↰⪸15B6⩚⊴⇥⫖↰⪸7B4))⫡⨏((⊄⩳↩⫖↰⪸803)∧)⋷((⫓⪴⫖↰⪸A83)⋷⫖↰⪸72A⊉≛↸⫖↰⪸752+(⫖↰⪸4215+⫖↰⪸11A7)⫥∨⫟(⫖↰⪸1B20↛⩡⫤))=NaN","reverse_text":"NaN=(↣≠⋷(⫖↰⪸15B6⩚⊴⇥⫖↰⪸7B4))⫡⨏((⊄⩳↩⫖↰⪸803)∧)⋷((⫓⪴⫖↰⪸A83)⋷⫖↰⪸72A⊉≛↸⫖↰⪸752+(⫖↰⪸4215+⫖↰⪸11A7)⫥∨⫟(⫖↰⪸1B20↛⩡⫤))","cot":[{"info":"⫖↰⪸15B6⩚⊴⇥⫖↰⪸7B4=⫖↰⪸-228B","layer":3},{"info":"↣≠⋷⫖↰⪸-228B=NaN","layer":2},{"info":"⊄⩳↩⫖↰⪸803=⫖↰⪸-2009","layer":3},{"info":"⫖↰⪸-2009∧=⫖↰⪸0","layer":2},{"info":"NaN⫡⨏⫖↰⪸0=NaN","layer":1},{"info":"⫓⪴⫖↰⪸A83=⫖↰⪸962809","layer":3},{"info":"⫖↰⪸72A⊉≛↸⫖↰⪸752=⫖↰⪸1258","layer":3},{"info":"⫖↰⪸962809⋷⫖↰⪸1258=⫖↰⪸-960315","layer":2},{"info":"⫖↰⪸4215+⫖↰⪸11A7=⫖↰⪸5400","layer":3},{"info":"⫖↰⪸1B20↛⩡⫤=⫖↰⪸-201301","layer":3},{"info":"⫖↰⪸5400⫥∨⫟⫖↰⪸-201301=NaN","layer":2},{"info":"⫖↰⪸-960315+NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"(($1621$-$3050$)⪐)⋓($1408$⋝⋈⪟$4958$↛⩡⫤)∲⫓(+⊝⨔(($4955$⪨≂$3448$)⫥∨⫟($2250$-$1542$)))","expression":"((⫖↰⪸B31-⫖↰⪸1922)⪐)⋓(⫖↰⪸994⋝⋈⪟⫖↰⪸2A52↛⩡⫤)∲⫓(+⊝⨔((⫖↰⪸2A4B⪨≂⫖↰⪸1BB4)⫥∨⫟(⫖↰⪸1376-⫖↰⪸A86)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4559,"operation_count":10,"complexity_ratio":455.9,"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":1621,"base":12},"right_expr":{"type":"numeric_atoms","value":3050,"base":12}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1408,"base":12},"right_expr":{"type":"numeric_atoms","value":4958,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4955,"base":12},"right_expr":{"type":"numeric_atoms","value":3448,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2250,"base":12},"right_expr":{"type":"numeric_atoms","value":1542,"base":12}}}}},"used_operators":["i8ToyICDmI","T2fj7uvVaJ","eH2TOUuTDT","rysDP5nf3Z","FU0Cs4j7VP","2DDjHMKMc0","DhbWaqg5eL","KYD54nUTWz","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3050, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1429","layer":3},{"info":"compute unary expreesion, input=-1429, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-2858","layer":2},{"info":"number node, value=1408","layer":4},{"info":"number node, value=4958","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=4958, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1408","layer":3},{"info":"compute unary expreesion, input=1408, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-208697","layer":2},{"info":"compute binary expreesion, left_input=-2858, right_input=-208697, 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=4955","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=4955, right_input=3448, op_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":3},{"info":"number node, value=2250","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1542, op_id = rysDP5nf3Z binary_op_definition= 'None', output=708","layer":3},{"info":"compute binary expreesion, left_input=3116, right_input=708, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B31-⫖↰⪸1922)⪐)⋓(⫖↰⪸994⋝⋈⪟⫖↰⪸2A52↛⩡⫤)∲⫓(+⊝⨔((⫖↰⪸2A4B⪨≂⫖↰⪸1BB4)⫥∨⫟(⫖↰⪸1376-⫖↰⪸A86)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸B31-⫖↰⪸1922)⪐)⋓(⫖↰⪸994⋝⋈⪟⫖↰⪸2A52↛⩡⫤)∲⫓(+⊝⨔((⫖↰⪸2A4B⪨≂⫖↰⪸1BB4)⫥∨⫟(⫖↰⪸1376-⫖↰⪸A86)))","cot":[{"info":"⫖↰⪸B31-⫖↰⪸1922=⫖↰⪸-9B1","layer":3},{"info":"⫖↰⪸-9B1⪐=⫖↰⪸-17A2","layer":2},{"info":"⫖↰⪸994⋝⋈⪟⫖↰⪸2A52=⫖↰⪸994","layer":3},{"info":"⫖↰⪸994↛⩡⫤=⫖↰⪸-A0935","layer":2},{"info":"⫖↰⪸-17A2⋓⫖↰⪸-A0935=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2A4B⪨≂⫖↰⪸1BB4=⫖↰⪸1978","layer":3},{"info":"⫖↰⪸1376-⫖↰⪸A86=⫖↰⪸4B0","layer":3},{"info":"⫖↰⪸1978⫥∨⫟⫖↰⪸4B0=NaN","layer":2},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸0∲⫓⫖↰⪸A6A=⫖↰⪸0","layer":0}]}
{"id":527,"expression_no_base_symbol":"(((⊥$1320$)↛⩡⫤)⪒$1570$⨰$6790$↙$4093$≎⊠⪸$5577$)≫≃","expression":"(((⊥⫖↰⪸920)↛⩡⫤)⪒⫖↰⪸AAA⨰⫖↰⪸3B1A↙⫖↰⪸2451≎⊠⪸⫖↰⪸3289)≫≃","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":351,"operation_count":7,"complexity_ratio":50.142857142857146,"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":1320,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1570,"base":12},"right_expr":{"type":"numeric_atoms","value":6790,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4093,"base":12},"right_expr":{"type":"numeric_atoms","value":5577,"base":12}}}}},"used_operators":["X99M06cbEe","f6k1SAg4EE","FU0Cs4j7VP","Q3PJZHRvZv","yyfyN0ffXY","eewbuw0ToL","bJkvcejdHO"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","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=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"number node, value=1570","layer":4},{"info":"number node, value=6790","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=6790, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5210","layer":3},{"info":"number node, value=4093","layer":4},{"info":"number node, value=5577","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=5577, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1059614","layer":3},{"info":"compute binary expreesion, left_input=-5210, right_input=1059614, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5210","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5210, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⊥⫖↰⪸920)↛⩡⫤)⪒⫖↰⪸AAA⨰⫖↰⪸3B1A↙⫖↰⪸2451≎⊠⪸⫖↰⪸3289)≫≃=NaN","reverse_text":"NaN=(((⊥⫖↰⪸920)↛⩡⫤)⪒⫖↰⪸AAA⨰⫖↰⪸3B1A↙⫖↰⪸2451≎⊠⪸⫖↰⪸3289)≫≃","cot":[{"info":"⊥⫖↰⪸920=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⫖↰⪸AAA⨰⫖↰⪸3B1A=⫖↰⪸-3022","layer":3},{"info":"⫖↰⪸2451≎⊠⪸⫖↰⪸3289=⫖↰⪸431252","layer":3},{"info":"⫖↰⪸-3022↙⫖↰⪸431252=⫖↰⪸-3022","layer":2},{"info":"NaN⪒⫖↰⪸-3022=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"(∂($5666$∲⫓$2145$)↬($1319$≋⫹))≎⊠⪸(⨑⩽⪐($6484$∲⫓$1109$)⪮%⊝$6213$≹⇙⪍$1779$)","expression":"(∂(⫖↰⪸3342∲⫓⫖↰⪸12A9)↬(⫖↰⪸91B≋⫹))≎⊠⪸(⨑⩽⪐(⫖↰⪸3904∲⫓⫖↰⪸785)⪮%⊝⫖↰⪸3719≹⇙⪍⫖↰⪸1043)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":453,"operation_count":9,"complexity_ratio":50.333333333333336,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5666,"base":12},"right_expr":{"type":"numeric_atoms","value":2145,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1319,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6484,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6213,"base":12},"right_expr":{"type":"numeric_atoms","value":1779,"base":12}}}}},"used_operators":["bJkvcejdHO","Uaa54Peajs","B5M0gjZbta","i8ToyICDmI","N41Kp7NANJ","AF7qkfDlqP","IWmyXbctLI","AHs5Up7iyr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5666","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=5666, right_input=2145, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2638","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2638, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-2638","layer":2},{"info":"compute unary expreesion, input=-2638, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=2374","layer":1},{"info":"number node, value=6484","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=6484, right_input=1109, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6213","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=6213, right_input=1779, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2374, 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":"(∂(⫖↰⪸3342∲⫓⫖↰⪸12A9)↬(⫖↰⪸91B≋⫹))≎⊠⪸(⨑⩽⪐(⫖↰⪸3904∲⫓⫖↰⪸785)⪮%⊝⫖↰⪸3719≹⇙⪍⫖↰⪸1043)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(∂(⫖↰⪸3342∲⫓⫖↰⪸12A9)↬(⫖↰⪸91B≋⫹))≎⊠⪸(⨑⩽⪐(⫖↰⪸3904∲⫓⫖↰⪸785)⪮%⊝⫖↰⪸3719≹⇙⪍⫖↰⪸1043)","cot":[{"info":"⫖↰⪸3342∲⫓⫖↰⪸12A9=⫖↰⪸0","layer":3},{"info":"⫖↰⪸91B≋⫹=⫖↰⪸-163A","layer":3},{"info":"⫖↰⪸0↬⫖↰⪸-163A=⫖↰⪸-163A","layer":2},{"info":"∂⫖↰⪸-163A=⫖↰⪸145A","layer":1},{"info":"⫖↰⪸3904∲⫓⫖↰⪸785=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3719≹⇙⪍⫖↰⪸1043=NaN","layer":3},{"info":"⫖↰⪸0⪮%⊝NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫖↰⪸145A≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":529,"expression_no_base_symbol":"((($2024$⪒$1214$)⪄($5030$⋫))⊘)⊘","expression":"(((⫖↰⪸1208⪒⫖↰⪸852)⪄(⫖↰⪸2AB2⋫))⊘)⊘","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5167,"operation_count":5,"complexity_ratio":1033.4,"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":2024,"base":12},"right_expr":{"type":"numeric_atoms","value":1214,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5030,"base":12}}}}},"used_operators":["gu96TGCTMs","SUmda5xLS4","f6k1SAg4EE","JL8yIekQnl"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=1214, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3238","layer":3},{"info":"number node, value=5030","layer":4},{"info":"compute unary expreesion, input=5030, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5030","layer":3},{"info":"compute binary expreesion, left_input=-3238, right_input=5030, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 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":"(((⫖↰⪸1208⪒⫖↰⪸852)⪄(⫖↰⪸2AB2⋫))⊘)⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((⫖↰⪸1208⪒⫖↰⪸852)⪄(⫖↰⪸2AB2⋫))⊘)⊘","cot":[{"info":"⫖↰⪸1208⪒⫖↰⪸852=⫖↰⪸-1A5A","layer":3},{"info":"⫖↰⪸2AB2⋫=⫖↰⪸2AB2","layer":3},{"info":"⫖↰⪸-1A5A⪄⫖↰⪸2AB2=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸2377⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊘=⫖↰⪸0","layer":0}]}
{"id":530,"expression_no_base_symbol":"((($3857$↙$1844$)⊘)≦≮≮)⨓(($3835$-$1258$⪨≂$2981$⨓$4526$)⨸⪁$1074$⪮%⊝$2729$≎⊠⪸$1912$⋝⋈⪟$7608$)","expression":"(((⫖↰⪸2295↙⫖↰⪸1098)⊘)≦≮≮)⨓((⫖↰⪸2277-⫖↰⪸88A⪨≂⫖↰⪸1885⨓⫖↰⪸2752)⨸⪁⫖↰⪸756⪮%⊝⫖↰⪸16B5≎⊠⪸⫖↰⪸1134⋝⋈⪟⫖↰⪸44A0)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6701,"operation_count":11,"complexity_ratio":609.1818181818181,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3857,"base":12},"right_expr":{"type":"numeric_atoms","value":1844,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3835,"base":12},"right_expr":{"type":"numeric_atoms","value":1258,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2981,"base":12},"right_expr":{"type":"numeric_atoms","value":4526,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1074,"base":12},"right_expr":{"type":"numeric_atoms","value":2729,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1912,"base":12},"right_expr":{"type":"numeric_atoms","value":7608,"base":12}}}}},"used_operators":["3ViojmjbAp","D4vGDi5EA2","gu96TGCTMs","yyfyN0ffXY","g55IO6H4Gj","sdazOOVcIp","rysDP5nf3Z","bJkvcejdHO","IWmyXbctLI","2DDjHMKMc0"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3857","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=3857, right_input=1844, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5532","layer":3},{"info":"compute unary expreesion, input=-5532, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=3","layer":1},{"info":"number node, value=3835","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=1258, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2577","layer":3},{"info":"number node, value=2981","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=4526, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4529","layer":3},{"info":"compute binary expreesion, left_input=2577, right_input=-4529, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=14314","layer":2},{"info":"number node, value=1074","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=2729, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2464","layer":3},{"info":"number node, value=1912","layer":4},{"info":"number node, value=7608","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=7608, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1912","layer":3},{"info":"compute binary expreesion, left_input=2464, right_input=1912, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=637703","layer":2},{"info":"compute binary expreesion, left_input=14314, right_input=637703, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1304034","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=1304034, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2295↙⫖↰⪸1098)⊘)≦≮≮)⨓((⫖↰⪸2277-⫖↰⪸88A⪨≂⫖↰⪸1885⨓⫖↰⪸2752)⨸⪁⫖↰⪸756⪮%⊝⫖↰⪸16B5≎⊠⪸⫖↰⪸1134⋝⋈⪟⫖↰⪸44A0)=NaN","reverse_text":"NaN=(((⫖↰⪸2295↙⫖↰⪸1098)⊘)≦≮≮)⨓((⫖↰⪸2277-⫖↰⪸88A⪨≂⫖↰⪸1885⨓⫖↰⪸2752)⨸⪁⫖↰⪸756⪮%⊝⫖↰⪸16B5≎⊠⪸⫖↰⪸1134⋝⋈⪟⫖↰⪸44A0)","cot":[{"info":"⫖↰⪸2295↙⫖↰⪸1098=⫖↰⪸-3250","layer":3},{"info":"⫖↰⪸-3250⊘=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-1≦≮≮=⫖↰⪸3","layer":1},{"info":"⫖↰⪸2277-⫖↰⪸88A=⫖↰⪸15A9","layer":3},{"info":"⫖↰⪸1885⨓⫖↰⪸2752=⫖↰⪸-2755","layer":3},{"info":"⫖↰⪸15A9⪨≂⫖↰⪸-2755=⫖↰⪸834A","layer":2},{"info":"⫖↰⪸756⪮%⊝⫖↰⪸16B5=⫖↰⪸1514","layer":3},{"info":"⫖↰⪸1134⋝⋈⪟⫖↰⪸44A0=⫖↰⪸1134","layer":3},{"info":"⫖↰⪸1514≎⊠⪸⫖↰⪸1134=⫖↰⪸26905B","layer":2},{"info":"⫖↰⪸834A⨸⪁⫖↰⪸26905B=⫖↰⪸52A796","layer":1},{"info":"⫖↰⪸3⨓⫖↰⪸52A796=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"(($2348$⋷$3216$)+⇶⊼($8746$⨵⪆$1032$)+(≉$4237$⨰$3564$))⪛((($3796$⫩⊇)↪⪝)⋫)","expression":"((⫖↰⪸1438⋷⫖↰⪸1A40)+⇶⊼(⫖↰⪸508A⨵⪆⫖↰⪸720)+(≉⫖↰⪸2551⨰⫖↰⪸2090))⪛(((⫖↰⪸2244⫩⊇)↪⪝)⋫)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":721,"operation_count":10,"complexity_ratio":72.1,"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":2348,"base":12},"right_expr":{"type":"numeric_atoms","value":3216,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8746,"base":12},"right_expr":{"type":"numeric_atoms","value":1032,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4237,"base":12},"right_expr":{"type":"numeric_atoms","value":3564,"base":12}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3796,"base":12}}}}},"used_operators":["uFcxV4UQCh","W4YGzv6Whe","TpPTUOHfaN","23Mk6UjR3U","2DQ55sFlQl","e1ybzncUwg","eewbuw0ToL","JL8yIekQnl","l07mrZUIn9","BjRHVeLaeN"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=3216, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4084","layer":3},{"info":"number node, value=8746","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=8746, right_input=1032, 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=4084, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4237","layer":4},{"info":"number node, value=3564","layer":4},{"info":"compute binary expreesion, left_input=4237, right_input=3564, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=683","layer":3},{"info":"compute unary expreesion, input=683, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1214","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1214, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3796","layer":4},{"info":"compute unary expreesion, input=3796, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3754","layer":3},{"info":"compute unary expreesion, input=-3754, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-229677228","layer":2},{"info":"compute unary expreesion, input=-229677228, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1438⋷⫖↰⪸1A40)+⇶⊼(⫖↰⪸508A⨵⪆⫖↰⪸720)+(≉⫖↰⪸2551⨰⫖↰⪸2090))⪛(((⫖↰⪸2244⫩⊇)↪⪝)⋫)=NaN","reverse_text":"NaN=((⫖↰⪸1438⋷⫖↰⪸1A40)+⇶⊼(⫖↰⪸508A⨵⪆⫖↰⪸720)+(≉⫖↰⪸2551⨰⫖↰⪸2090))⪛(((⫖↰⪸2244⫩⊇)↪⪝)⋫)","cot":[{"info":"⫖↰⪸1438⋷⫖↰⪸1A40=⫖↰⪸2444","layer":3},{"info":"⫖↰⪸508A⨵⪆⫖↰⪸720=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2444+⇶⊼⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸2551⨰⫖↰⪸2090=⫖↰⪸48B","layer":3},{"info":"≉⫖↰⪸48B=⫖↰⪸852","layer":2},{"info":"NaN+⫖↰⪸852=NaN","layer":1},{"info":"⫖↰⪸2244⫩⊇=⫖↰⪸-220A","layer":3},{"info":"⫖↰⪸-220A↪⪝=⫖↰⪸-64B03090","layer":2},{"info":"⫖↰⪸-64B03090⋫=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"(($1247$≧⫂∧$1268$≧⫂∧($8812$⪨≂$1076$))⩠)⩚⊴⇥(($7511$≣⋋)⋓($1833$⪒$1034$)⪄($1345$⪒$1120$)⨎(⊙↵-$1352$))","expression":"((⫖↰⪸87B≧⫂∧⫖↰⪸898≧⫂∧(⫖↰⪸5124⪨≂⫖↰⪸758))⩠)⩚⊴⇥((⫖↰⪸441B≣⋋)⋓(⫖↰⪸1089⪒⫖↰⪸722)⪄(⫖↰⪸941⪒⫖↰⪸794)⨎(⊙↵-⫖↰⪸948))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1984,"operation_count":12,"complexity_ratio":165.33333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1247,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8812,"base":12},"right_expr":{"type":"numeric_atoms","value":1076,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7511,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1833,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1345,"base":12},"right_expr":{"type":"numeric_atoms","value":1120,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1352,"base":12}}}}},"used_operators":["NTOWxs364D","sJAwomhLZr","Ph9nP6C5qx","sdazOOVcIp","SUmda5xLS4","T2fj7uvVaJ","Tcnh7f0tEr","f6k1SAg4EE","rJVOvQCfKK","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸-2404","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1268, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=795","layer":3},{"info":"number node, value=8812","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=8812, right_input=1076, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=15574","layer":3},{"info":"compute binary expreesion, left_input=795, right_input=15574, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=15101","layer":2},{"info":"compute unary expreesion, input=15101, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=7511","layer":4},{"info":"compute unary expreesion, input=7511, 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=1833","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1034, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2867","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2867, 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=1345","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1120, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2465","layer":3},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2465, right_input=-1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3915","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3915, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4036","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸87B≧⫂∧⫖↰⪸898≧⫂∧(⫖↰⪸5124⪨≂⫖↰⪸758))⩠)⩚⊴⇥((⫖↰⪸441B≣⋋)⋓(⫖↰⪸1089⪒⫖↰⪸722)⪄(⫖↰⪸941⪒⫖↰⪸794)⨎(⊙↵-⫖↰⪸948))=⫖↰⪸-2404","reverse_text":"⫖↰⪸-2404=((⫖↰⪸87B≧⫂∧⫖↰⪸898≧⫂∧(⫖↰⪸5124⪨≂⫖↰⪸758))⩠)⩚⊴⇥((⫖↰⪸441B≣⋋)⋓(⫖↰⪸1089⪒⫖↰⪸722)⪄(⫖↰⪸941⪒⫖↰⪸794)⨎(⊙↵-⫖↰⪸948))","cot":[{"info":"⫖↰⪸87B≧⫂∧⫖↰⪸898=⫖↰⪸563","layer":3},{"info":"⫖↰⪸5124⪨≂⫖↰⪸758=⫖↰⪸901A","layer":3},{"info":"⫖↰⪸563≧⫂∧⫖↰⪸901A=⫖↰⪸88A5","layer":2},{"info":"⫖↰⪸88A5⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸441B≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1089⪒⫖↰⪸722=⫖↰⪸-17AB","layer":3},{"info":"⫖↰⪸0⋓⫖↰⪸-17AB=⫖↰⪸0","layer":2},{"info":"⫖↰⪸941⪒⫖↰⪸794=⫖↰⪸-1515","layer":3},{"info":"⊙↵-⫖↰⪸948=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-1515⨎⫖↰⪸-1=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸0⪄⫖↰⪸-1=⫖↰⪸2323","layer":1},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸2323=⫖↰⪸-2404","layer":0}]}
{"id":533,"expression_no_base_symbol":"($2472$⊉≛↸$5983$⫡⨏$3106$-$2043$)↙($1026$⨐⩸⫘$3608$)⪛($3268$⨳⩥⨓$4960$)↛⩡⫤","expression":"(⫖↰⪸1520⊉≛↸⫖↰⪸3567⫡⨏⫖↰⪸196A-⫖↰⪸1223)↙(⫖↰⪸716⨐⩸⫘⫖↰⪸2108)⪛(⫖↰⪸1A84⨳⩥⨓⫖↰⪸2A54)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":85,"operation_count":8,"complexity_ratio":10.625,"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":2472,"base":12},"right_expr":{"type":"numeric_atoms","value":5983,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3106,"base":12},"right_expr":{"type":"numeric_atoms","value":2043,"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":3608,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3268,"base":12},"right_expr":{"type":"numeric_atoms","value":4960,"base":12}}}}},"used_operators":["FU0Cs4j7VP","yyfyN0ffXY","QMFrweE19q","DZ8iAZOCBD","rysDP5nf3Z","uFcxV4UQCh","fu6greOZ01","nCS4ZIUYfx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2472","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=5983, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4944","layer":3},{"info":"number node, value=3106","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=2043, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1063","layer":3},{"info":"compute binary expreesion, left_input=4944, 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=27629","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=3608, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3268","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=4960, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1692","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1692, 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=27629, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"(⫖↰⪸1520⊉≛↸⫖↰⪸3567⫡⨏⫖↰⪸196A-⫖↰⪸1223)↙(⫖↰⪸716⨐⩸⫘⫖↰⪸2108)⪛(⫖↰⪸1A84⨳⩥⨓⫖↰⪸2A54)↛⩡⫤=NaN","reverse_text":"NaN=(⫖↰⪸1520⊉≛↸⫖↰⪸3567⫡⨏⫖↰⪸196A-⫖↰⪸1223)↙(⫖↰⪸716⨐⩸⫘⫖↰⪸2108)⪛(⫖↰⪸1A84⨳⩥⨓⫖↰⪸2A54)↛⩡⫤","cot":[{"info":"⫖↰⪸1520⊉≛↸⫖↰⪸3567=⫖↰⪸2A40","layer":3},{"info":"⫖↰⪸196A-⫖↰⪸1223=⫖↰⪸747","layer":3},{"info":"⫖↰⪸2A40⫡⨏⫖↰⪸747=⫖↰⪸13BA5","layer":2},{"info":"⫖↰⪸716⨐⩸⫘⫖↰⪸2108=NaN","layer":3},{"info":"⫖↰⪸1A84⨳⩥⨓⫖↰⪸2A54=⫖↰⪸B90","layer":3},{"info":"NaN⪛⫖↰⪸B90=NaN","layer":2},{"info":"⫖↰⪸13BA5↙NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"($1231$⪒$6291$⨵⪆($1213$≦≮≮))⪮%⊝($1037$⇼⇔∾$3660$⩨(⫛⫱⨽$1513$))⋫","expression":"(⫖↰⪸867⪒⫖↰⪸3783⨵⪆(⫖↰⪸851≦≮≮))⪮%⊝(⫖↰⪸725⇼⇔∾⫖↰⪸2150⩨(⫛⫱⨽⫖↰⪸A61))⋫","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1445,"operation_count":8,"complexity_ratio":180.625,"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":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":6291,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1213,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":3660,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1513,"base":12}}}}},"used_operators":["JL8yIekQnl","IWmyXbctLI","2DQ55sFlQl","f6k1SAg4EE","D4vGDi5EA2","2DlMacCsIx","tifHPKVTfV","DlLNRPXxWL"],"dependent_operators":["tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":4},{"info":"number node, value=6291","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=6291, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7522","layer":3},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3639","layer":3},{"info":"compute binary expreesion, left_input=-7522, right_input=-3639, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1037","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3660, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2623","layer":3},{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2623, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸867⪒⫖↰⪸3783⨵⪆(⫖↰⪸851≦≮≮))⪮%⊝(⫖↰⪸725⇼⇔∾⫖↰⪸2150⩨(⫛⫱⨽⫖↰⪸A61))⋫=NaN","reverse_text":"NaN=(⫖↰⪸867⪒⫖↰⪸3783⨵⪆(⫖↰⪸851≦≮≮))⪮%⊝(⫖↰⪸725⇼⇔∾⫖↰⪸2150⩨(⫛⫱⨽⫖↰⪸A61))⋫","cot":[{"info":"⫖↰⪸867⪒⫖↰⪸3783=⫖↰⪸-442A","layer":3},{"info":"⫖↰⪸851≦≮≮=⫖↰⪸-2133","layer":3},{"info":"⫖↰⪸-442A⨵⪆⫖↰⪸-2133=⫖↰⪸114","layer":2},{"info":"⫖↰⪸725⇼⇔∾⫖↰⪸2150=⫖↰⪸1627","layer":3},{"info":"⫛⫱⨽⫖↰⪸A61=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1627⩨⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸114⪮%⊝⫖↰⪸0=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"((($2190$⪒$1141$)⪒(⊄⩳↩$4432$))↺($3283$⫸⊐$4311$⊉≛↸$1897$≹⇙⪍$5516$))⨐⩸⫘(($2222$*$1062$)≭(⪝⪂⫅$1243$))⊴(⨈⫕$1326$⪘⫢$5469$)","expression":"(((⫖↰⪸1326⪒⫖↰⪸7B1)⪒(⊄⩳↩⫖↰⪸2694))↺(⫖↰⪸1A97⫸⊐⫖↰⪸25B3⊉≛↸⫖↰⪸1121≹⇙⪍⫖↰⪸3238))⨐⩸⫘((⫖↰⪸1352*⫖↰⪸746)≭(⪝⪂⫅⫖↰⪸877))⊴(⨈⫕⫖↰⪸926⪘⫢⫖↰⪸31B9)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1680,"operation_count":14,"complexity_ratio":120.0,"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":2190,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4432,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3283,"base":12},"right_expr":{"type":"numeric_atoms","value":4311,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1897,"base":12},"right_expr":{"type":"numeric_atoms","value":5516,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2222,"base":12},"right_expr":{"type":"numeric_atoms","value":1062,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1243,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1326,"base":12},"right_expr":{"type":"numeric_atoms","value":5469,"base":12}}}}},"used_operators":["fu6greOZ01","7j4O788W3g","f6k1SAg4EE","8w2t5hMYqp","DZ8iAZOCBD","mqXw5SEYmG","AHs5Up7iyr","Nsiff2A1zJ","rxpJgHHUmx","9HNa5Wba9A","XTarYq4gQB","megm06wKyl","oacrs7FA3X"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2190","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1141, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3331","layer":3},{"info":"number node, value=4432","layer":4},{"info":"compute unary expreesion, input=4432, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13296","layer":3},{"info":"compute binary expreesion, left_input=-3331, right_input=-13296, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=16627","layer":2},{"info":"number node, value=3283","layer":4},{"info":"number node, value=4311","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=4311, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17119","layer":3},{"info":"number node, value=1897","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=5516, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=17119, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=34238","layer":2},{"info":"compute binary expreesion, left_input=16627, right_input=34238, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=34238","layer":1},{"info":"number node, value=2222","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=1062, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2359764","layer":3},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-182721","layer":3},{"info":"compute binary expreesion, left_input=2359764, right_input=-182721, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1326","layer":4},{"info":"number node, value=5469","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=5469, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2528","layer":3},{"info":"compute unary expreesion, input=2528, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=34238, 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":"(((⫖↰⪸1326⪒⫖↰⪸7B1)⪒(⊄⩳↩⫖↰⪸2694))↺(⫖↰⪸1A97⫸⊐⫖↰⪸25B3⊉≛↸⫖↰⪸1121≹⇙⪍⫖↰⪸3238))⨐⩸⫘((⫖↰⪸1352*⫖↰⪸746)≭(⪝⪂⫅⫖↰⪸877))⊴(⨈⫕⫖↰⪸926⪘⫢⫖↰⪸31B9)=NaN","reverse_text":"NaN=(((⫖↰⪸1326⪒⫖↰⪸7B1)⪒(⊄⩳↩⫖↰⪸2694))↺(⫖↰⪸1A97⫸⊐⫖↰⪸25B3⊉≛↸⫖↰⪸1121≹⇙⪍⫖↰⪸3238))⨐⩸⫘((⫖↰⪸1352*⫖↰⪸746)≭(⪝⪂⫅⫖↰⪸877))⊴(⨈⫕⫖↰⪸926⪘⫢⫖↰⪸31B9)","cot":[{"info":"⫖↰⪸1326⪒⫖↰⪸7B1=⫖↰⪸-1B17","layer":3},{"info":"⊄⩳↩⫖↰⪸2694=⫖↰⪸-7840","layer":3},{"info":"⫖↰⪸-1B17⪒⫖↰⪸-7840=⫖↰⪸9757","layer":2},{"info":"⫖↰⪸1A97⫸⊐⫖↰⪸25B3=⫖↰⪸9AA7","layer":3},{"info":"⫖↰⪸1121≹⇙⪍⫖↰⪸3238=NaN","layer":3},{"info":"⫖↰⪸9AA7⊉≛↸NaN=⫖↰⪸17992","layer":2},{"info":"⫖↰⪸9757↺⫖↰⪸17992=⫖↰⪸17992","layer":1},{"info":"⫖↰⪸1352*⫖↰⪸746=⫖↰⪸959730","layer":3},{"info":"⪝⪂⫅⫖↰⪸877=⫖↰⪸-898A9","layer":3},{"info":"⫖↰⪸959730≭⫖↰⪸-898A9=NaN","layer":2},{"info":"⫖↰⪸926⪘⫢⫖↰⪸31B9=⫖↰⪸1568","layer":3},{"info":"⨈⫕⫖↰⪸1568=⫖↰⪸-19","layer":2},{"info":"NaN⊴⫖↰⪸-19=NaN","layer":1},{"info":"⫖↰⪸17992⨐⩸⫘NaN=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"(⨵≀≌(∥⊫$6236$⪘⫢$3932$))⋷(↔($8617$⫡⨏$2687$))↙($1955$⩨$7319$⩨$5600$≎⊠⪸$4067$)","expression":"(⨵≀≌(∥⊫⫖↰⪸3738⪘⫢⫖↰⪸2338))⋷(↔(⫖↰⪸4BA1⫡⨏⫖↰⪸167B))↙(⫖↰⪸116B⩨⫖↰⪸429B⩨⫖↰⪸32A8≎⊠⪸⫖↰⪸242B)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":161421,"operation_count":10,"complexity_ratio":16142.1,"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":6236,"base":12},"right_expr":{"type":"numeric_atoms","value":3932,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8617,"base":12},"right_expr":{"type":"numeric_atoms","value":2687,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1955,"base":12},"right_expr":{"type":"numeric_atoms","value":7319,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5600,"base":12},"right_expr":{"type":"numeric_atoms","value":4067,"base":12}}}}},"used_operators":["23Mk6UjR3U","srAu1WTS94","P8v4zCKN1o","oacrs7FA3X","yyfyN0ffXY","ruOEQAzv1W","QMFrweE19q","2DlMacCsIx","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸39A80","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6236","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=6236, right_input=3932, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12348","layer":3},{"info":"compute unary expreesion, input=12348, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=13216","layer":2},{"info":"compute unary expreesion, input=13216, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-39648","layer":1},{"info":"number node, value=8617","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=8617, right_input=2687, 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=49242","layer":3},{"info":"compute unary expreesion, input=49242, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-48969","layer":2},{"info":"number node, value=1955","layer":4},{"info":"number node, value=7319","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=7319, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=5600","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=5600, right_input=4067, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1449927","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=1449927, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=483309","layer":2},{"info":"compute binary expreesion, left_input=-48969, right_input=483309, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-48969","layer":1},{"info":"compute binary expreesion, left_input=-39648, right_input=-48969, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=79296","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌(∥⊫⫖↰⪸3738⪘⫢⫖↰⪸2338))⋷(↔(⫖↰⪸4BA1⫡⨏⫖↰⪸167B))↙(⫖↰⪸116B⩨⫖↰⪸429B⩨⫖↰⪸32A8≎⊠⪸⫖↰⪸242B)=⫖↰⪸39A80","reverse_text":"⫖↰⪸39A80=(⨵≀≌(∥⊫⫖↰⪸3738⪘⫢⫖↰⪸2338))⋷(↔(⫖↰⪸4BA1⫡⨏⫖↰⪸167B))↙(⫖↰⪸116B⩨⫖↰⪸429B⩨⫖↰⪸32A8≎⊠⪸⫖↰⪸242B)","cot":[{"info":"⫖↰⪸3738⪘⫢⫖↰⪸2338=⫖↰⪸7190","layer":3},{"info":"∥⊫⫖↰⪸7190=⫖↰⪸7794","layer":2},{"info":"⨵≀≌⫖↰⪸7794=⫖↰⪸-1AB40","layer":1},{"info":"⫖↰⪸4BA1⫡⨏⫖↰⪸167B=⫖↰⪸245B6","layer":3},{"info":"↔⫖↰⪸245B6=⫖↰⪸-24409","layer":2},{"info":"⫖↰⪸116B⩨⫖↰⪸429B=⫖↰⪸-9","layer":3},{"info":"⫖↰⪸32A8≎⊠⪸⫖↰⪸242B=⫖↰⪸59B0B3","layer":3},{"info":"⫖↰⪸-9⩨⫖↰⪸59B0B3=⫖↰⪸1B3839","layer":2},{"info":"⫖↰⪸-24409↙⫖↰⪸1B3839=⫖↰⪸-24409","layer":1},{"info":"⫖↰⪸-1AB40⋷⫖↰⪸-24409=⫖↰⪸39A80","layer":0}]}
{"id":537,"expression_no_base_symbol":"(($3203$⇋≉)⊉≛↸(↥$5868$))⨰(⪲⇎$1289$)⊴(↥$4146$)⋷(⨰⫟⨤(($1772$⨳⩥⨓$1946$)⫩⊇))","expression":"((⫖↰⪸1A2B⇋≉)⊉≛↸(↥⫖↰⪸3490))⨰(⪲⇎⫖↰⪸8B5)⊴(↥⫖↰⪸2496)⋷(⨰⫟⨤((⫖↰⪸1038⨳⩥⨓⫖↰⪸1162)⫩⊇))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3955,"operation_count":11,"complexity_ratio":359.54545454545456,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3203,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5868,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1289,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4146,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1772,"base":12},"right_expr":{"type":"numeric_atoms","value":1946,"base":12}}}}},"used_operators":["23Mk6UjR3U","eewbuw0ToL","DZ8iAZOCBD","XIabStNQrY","A8NUZmVepG","Nsiff2A1zJ","XPYlsWDdGa","Tw270M8GLb","BjRHVeLaeN","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"compute unary expreesion, input=3203, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6308","layer":3},{"info":"number node, value=5868","layer":4},{"info":"compute unary expreesion, input=5868, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=6308, right_input=3, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12616","layer":2},{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2578","layer":3},{"info":"number node, value=4146","layer":4},{"info":"compute unary expreesion, input=4146, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":3},{"info":"compute binary expreesion, left_input=2578, right_input=15, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12616, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1946, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=174","layer":3},{"info":"compute unary expreesion, input=174, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-132","layer":2},{"info":"compute unary expreesion, input=-132, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⫖↰⪸1A2B⇋≉)⊉≛↸(↥⫖↰⪸3490))⨰(⪲⇎⫖↰⪸8B5)⊴(↥⫖↰⪸2496)⋷(⨰⫟⨤((⫖↰⪸1038⨳⩥⨓⫖↰⪸1162)⫩⊇))=NaN","reverse_text":"NaN=((⫖↰⪸1A2B⇋≉)⊉≛↸(↥⫖↰⪸3490))⨰(⪲⇎⫖↰⪸8B5)⊴(↥⫖↰⪸2496)⋷(⨰⫟⨤((⫖↰⪸1038⨳⩥⨓⫖↰⪸1162)⫩⊇))","cot":[{"info":"⫖↰⪸1A2B⇋≉=⫖↰⪸3798","layer":3},{"info":"↥⫖↰⪸3490=⫖↰⪸3","layer":3},{"info":"⫖↰⪸3798⊉≛↸⫖↰⪸3=⫖↰⪸7374","layer":2},{"info":"⪲⇎⫖↰⪸8B5=⫖↰⪸15AA","layer":3},{"info":"↥⫖↰⪸2496=⫖↰⪸13","layer":3},{"info":"⫖↰⪸15AA⊴⫖↰⪸13=NaN","layer":2},{"info":"⫖↰⪸7374⨰NaN=NaN","layer":1},{"info":"⫖↰⪸1038⨳⩥⨓⫖↰⪸1162=⫖↰⪸126","layer":3},{"info":"⫖↰⪸126⫩⊇=⫖↰⪸-B0","layer":2},{"info":"⨰⫟⨤⫖↰⪸-B0=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"(($1714$⩨$2042$)≎⊠⪸($4474$⨐⩸⫘$1972$)↪⪝)⪒(⨰⫟⨤($1889$↬$2537$↺$3107$∼$1167$))","expression":"((⫖↰⪸BAA⩨⫖↰⪸1222)≎⊠⪸(⫖↰⪸270A⨐⩸⫘⫖↰⪸1184)↪⪝)⪒(⨰⫟⨤(⫖↰⪸1115↬⫖↰⪸1575↺⫖↰⪸196B∼⫖↰⪸813))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":286,"operation_count":9,"complexity_ratio":31.77777777777778,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1714,"base":12},"right_expr":{"type":"numeric_atoms","value":2042,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4474,"base":12},"right_expr":{"type":"numeric_atoms","value":1972,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1889,"base":12},"right_expr":{"type":"numeric_atoms","value":2537,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3107,"base":12},"right_expr":{"type":"numeric_atoms","value":1167,"base":12}}}}},"used_operators":["f6k1SAg4EE","l07mrZUIn9","bJkvcejdHO","2DlMacCsIx","fu6greOZ01","Tw270M8GLb","7j4O788W3g","B5M0gjZbta","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=2042, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4474","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=1972, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-3, 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 unary expreesion, input=67, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=4099194","layer":1},{"info":"number node, value=1889","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=2537, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3107","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=3107, right_input=1167, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4099194, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸BAA⩨⫖↰⪸1222)≎⊠⪸(⫖↰⪸270A⨐⩸⫘⫖↰⪸1184)↪⪝)⪒(⨰⫟⨤(⫖↰⪸1115↬⫖↰⪸1575↺⫖↰⪸196B∼⫖↰⪸813))=NaN","reverse_text":"NaN=((⫖↰⪸BAA⩨⫖↰⪸1222)≎⊠⪸(⫖↰⪸270A⨐⩸⫘⫖↰⪸1184)↪⪝)⪒(⨰⫟⨤(⫖↰⪸1115↬⫖↰⪸1575↺⫖↰⪸196B∼⫖↰⪸813))","cot":[{"info":"⫖↰⪸BAA⩨⫖↰⪸1222=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸270A⨐⩸⫘⫖↰⪸1184=NaN","layer":3},{"info":"⫖↰⪸-3≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57↪⪝=⫖↰⪸1458276","layer":1},{"info":"⫖↰⪸1115↬⫖↰⪸1575=NaN","layer":3},{"info":"⫖↰⪸196B∼⫖↰⪸813=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸1458276⪒NaN=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"⩦⩻⨪(≤/($5776$⨸⪁$1590$)≎⊠⪸$5512$∼$5340$)","expression":"⩦⩻⨪(≤/(⫖↰⪸3414⨸⪁⫖↰⪸B06)≎⊠⪸⫖↰⪸3234∼⫖↰⪸3110)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":128,"operation_count":5,"complexity_ratio":25.6,"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":5776,"base":12},"right_expr":{"type":"numeric_atoms","value":1590,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5512,"base":12},"right_expr":{"type":"numeric_atoms","value":5340,"base":12}}}}},"used_operators":["2td37pGCOC","eLAdDNolq6","bJkvcejdHO","g55IO6H4Gj","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫖↰⪸2A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5776","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=5776, right_input=1590, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14732","layer":3},{"info":"number node, value=5512","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=5512, right_input=5340, 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=14732, 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 unary expreesion, input=67, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=417","layer":1},{"info":"compute unary expreesion, input=417, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=417","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(≤/(⫖↰⪸3414⨸⪁⫖↰⪸B06)≎⊠⪸⫖↰⪸3234∼⫖↰⪸3110)=⫖↰⪸2A9","reverse_text":"⫖↰⪸2A9=⩦⩻⨪(≤/(⫖↰⪸3414⨸⪁⫖↰⪸B06)≎⊠⪸⫖↰⪸3234∼⫖↰⪸3110)","cot":[{"info":"⫖↰⪸3414⨸⪁⫖↰⪸B06=⫖↰⪸8638","layer":3},{"info":"⫖↰⪸3234∼⫖↰⪸3110=NaN","layer":3},{"info":"⫖↰⪸8638≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"≤/⫖↰⪸57=⫖↰⪸2A9","layer":1},{"info":"⩦⩻⨪⫖↰⪸2A9=⫖↰⪸2A9","layer":0}]}
{"id":540,"expression_no_base_symbol":"((∂$5143$)⨟⋌⩍($2542$*$2674$)⨵⪆$1272$⩚⊴⇥$1495$⨽($1770$%$4189$))+⇶⊼(≤/(($2637$⫸⊐$2221$)⩤))","expression":"((∂⫖↰⪸2B87)⨟⋌⩍(⫖↰⪸157A*⫖↰⪸166A)⨵⪆⫖↰⪸8A0⩚⊴⇥⫖↰⪸A47⨽(⫖↰⪸1036%⫖↰⪸2511))+⇶⊼(≤/((⫖↰⪸1639⫸⊐⫖↰⪸1351)⩤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5473,"operation_count":11,"complexity_ratio":497.54545454545456,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5143,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2542,"base":12},"right_expr":{"type":"numeric_atoms","value":2674,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1272,"base":12},"right_expr":{"type":"numeric_atoms","value":1495,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1770,"base":12},"right_expr":{"type":"numeric_atoms","value":4189,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2637,"base":12},"right_expr":{"type":"numeric_atoms","value":2221,"base":12}}}}},"used_operators":["TpPTUOHfaN","2DQ55sFlQl","rGHVDoGpnC","Uaa54Peajs","9HNa5Wba9A","8HhzD0ZcuI","NTOWxs364D","k8jYdgA6NY","eLAdDNolq6","Z2TMIBDE3Q","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5143","layer":4},{"info":"compute unary expreesion, input=5143, 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=2542","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2542, right_input=2674, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6797308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6797308, 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=1272","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1495, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2888","layer":3},{"info":"number node, value=1770","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=4189, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1770","layer":3},{"info":"compute binary expreesion, left_input=-2888, right_input=1770, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25025628","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-25025628, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2637","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=2221, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8759","layer":3},{"info":"compute unary expreesion, input=8759, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-8759","layer":2},{"info":"compute unary expreesion, input=-8759, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=9243","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=9243, 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":"((∂⫖↰⪸2B87)⨟⋌⩍(⫖↰⪸157A*⫖↰⪸166A)⨵⪆⫖↰⪸8A0⩚⊴⇥⫖↰⪸A47⨽(⫖↰⪸1036%⫖↰⪸2511))+⇶⊼(≤/((⫖↰⪸1639⫸⊐⫖↰⪸1351)⩤))=NaN","reverse_text":"NaN=((∂⫖↰⪸2B87)⨟⋌⩍(⫖↰⪸157A*⫖↰⪸166A)⨵⪆⫖↰⪸8A0⩚⊴⇥⫖↰⪸A47⨽(⫖↰⪸1036%⫖↰⪸2511))+⇶⊼(≤/((⫖↰⪸1639⫸⊐⫖↰⪸1351)⩤))","cot":[{"info":"∂⫖↰⪸2B87=NaN","layer":3},{"info":"⫖↰⪸157A*⫖↰⪸166A=⫖↰⪸2339764","layer":3},{"info":"NaN⨟⋌⩍⫖↰⪸2339764=NaN","layer":2},{"info":"⫖↰⪸8A0⩚⊴⇥⫖↰⪸A47=⫖↰⪸-1808","layer":3},{"info":"⫖↰⪸1036%⫖↰⪸2511=⫖↰⪸1036","layer":3},{"info":"⫖↰⪸-1808⨽⫖↰⪸1036=⫖↰⪸-846A510","layer":2},{"info":"NaN⨵⪆⫖↰⪸-846A510=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1639⫸⊐⫖↰⪸1351=⫖↰⪸509B","layer":3},{"info":"⫖↰⪸509B⩤=⫖↰⪸-509B","layer":2},{"info":"≤/⫖↰⪸-509B=⫖↰⪸5423","layer":1},{"info":"⫖↰⪸114+⇶⊼⫖↰⪸5423=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"(($7966$⇷$1298$)≹⇙⪍($3613$⊭∹↮)⪐)⪐","expression":"((⫖↰⪸473A⇷⫖↰⪸902)≹⇙⪍(⫖↰⪸2111⊭∹↮)⪐)⪐","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":111541,"operation_count":5,"complexity_ratio":22308.2,"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":7966,"base":12},"right_expr":{"type":"numeric_atoms","value":1298,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3613,"base":12}}}}},"used_operators":["eH2TOUuTDT","AHs5Up7iyr","mp7IySMOzn","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7966","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=7966, right_input=1298, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2596","layer":3},{"info":"number node, value=3613","layer":4},{"info":"compute unary expreesion, input=3613, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7226","layer":3},{"info":"compute binary expreesion, left_input=2596, right_input=7226, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸473A⇷⫖↰⪸902)≹⇙⪍(⫖↰⪸2111⊭∹↮)⪐)⪐=NaN","reverse_text":"NaN=((⫖↰⪸473A⇷⫖↰⪸902)≹⇙⪍(⫖↰⪸2111⊭∹↮)⪐)⪐","cot":[{"info":"⫖↰⪸473A⇷⫖↰⪸902=⫖↰⪸1604","layer":3},{"info":"⫖↰⪸2111⊭∹↮=⫖↰⪸4222","layer":3},{"info":"⫖↰⪸1604≹⇙⪍⫖↰⪸4222=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"⊙↵-(($1252$⋥≓≎$1191$)⨟⋌⩍(⊙↵-$8410$)↛⩡⫤)","expression":"⊙↵-((⫖↰⪸884⋥≓≎⫖↰⪸833)⨟⋌⩍(⊙↵-⫖↰⪸4A4A)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9067,"operation_count":5,"complexity_ratio":1813.4,"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":1252,"base":12},"right_expr":{"type":"numeric_atoms","value":1191,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":8410,"base":12}}}}},"used_operators":["oWn0xqSxBt","FU0Cs4j7VP","rGHVDoGpnC","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1191, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1163","layer":3},{"info":"number node, value=8410","layer":4},{"info":"compute unary expreesion, input=8410, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1163, right_input=-1, 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 unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊙↵-((⫖↰⪸884⋥≓≎⫖↰⪸833)⨟⋌⩍(⊙↵-⫖↰⪸4A4A)↛⩡⫤)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-((⫖↰⪸884⋥≓≎⫖↰⪸833)⨟⋌⩍(⊙↵-⫖↰⪸4A4A)↛⩡⫤)","cot":[{"info":"⫖↰⪸884⋥≓≎⫖↰⪸833=⫖↰⪸80B","layer":3},{"info":"⊙↵-⫖↰⪸4A4A=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸80B⨟⋌⩍⫖↰⪸-1=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0↛⩡⫤=⫖↰⪸0","layer":1},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":543,"expression_no_base_symbol":"(($4381$≫≃)∀⇚≩(≉$1292$)*($4842$⋝⋈⪟$1242$)⪢$2225$⪮%⊝$1649$)⨽((⨑⩽⪐$6842$⫥∨⫟$1357$)⊉≛↸($4780$⇋≉)⪮%⊝(⩦⩻⨪$1489$))","expression":"((⫖↰⪸2651≫≃)∀⇚≩(≉⫖↰⪸8B8)*(⫖↰⪸2976⋝⋈⪟⫖↰⪸876)⪢⫖↰⪸1355⪮%⊝⫖↰⪸B55)⨽((⨑⩽⪐⫖↰⪸3B62⫥∨⫟⫖↰⪸951)⊉≛↸(⫖↰⪸2924⇋≉)⪮%⊝(⩦⩻⨪⫖↰⪸A41))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":76668,"operation_count":14,"complexity_ratio":5476.285714285715,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4381,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1292,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4842,"base":12},"right_expr":{"type":"numeric_atoms","value":1242,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2225,"base":12},"right_expr":{"type":"numeric_atoms","value":1649,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6842,"base":12},"right_expr":{"type":"numeric_atoms","value":1357,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4780,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1489,"base":12}}}}},"used_operators":["8HhzD0ZcuI","9HNa5Wba9A","LRNGc0VcxI","X99M06cbEe","e1ybzncUwg","dWAJyo7jo9","2DDjHMKMc0","IWmyXbctLI","DZ8iAZOCBD","AF7qkfDlqP","KYD54nUTWz","XIabStNQrY","2td37pGCOC"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4381","layer":4},{"info":"compute unary expreesion, input=4381, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10163","layer":3},{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1823","layer":3},{"info":"compute binary expreesion, left_input=10163, right_input=1823, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4842","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=1242, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4842","layer":3},{"info":"number node, value=2225","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=1649, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4766","layer":3},{"info":"compute binary expreesion, left_input=4842, right_input=4766, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6842","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=6842, right_input=1357, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"number node, value=4780","layer":4},{"info":"compute unary expreesion, input=4780, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9462","layer":3},{"info":"number node, value=1489","layer":4},{"info":"compute unary expreesion, input=1489, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1489","layer":3},{"info":"compute binary expreesion, left_input=9462, right_input=1489, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=19240","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19240, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2651≫≃)∀⇚≩(≉⫖↰⪸8B8)*(⫖↰⪸2976⋝⋈⪟⫖↰⪸876)⪢⫖↰⪸1355⪮%⊝⫖↰⪸B55)⨽((⨑⩽⪐⫖↰⪸3B62⫥∨⫟⫖↰⪸951)⊉≛↸(⫖↰⪸2924⇋≉)⪮%⊝(⩦⩻⨪⫖↰⪸A41))=NaN","reverse_text":"NaN=((⫖↰⪸2651≫≃)∀⇚≩(≉⫖↰⪸8B8)*(⫖↰⪸2976⋝⋈⪟⫖↰⪸876)⪢⫖↰⪸1355⪮%⊝⫖↰⪸B55)⨽((⨑⩽⪐⫖↰⪸3B62⫥∨⫟⫖↰⪸951)⊉≛↸(⫖↰⪸2924⇋≉)⪮%⊝(⩦⩻⨪⫖↰⪸A41))","cot":[{"info":"⫖↰⪸2651≫≃=⫖↰⪸5A6B","layer":3},{"info":"≉⫖↰⪸8B8=⫖↰⪸107B","layer":3},{"info":"⫖↰⪸5A6B∀⇚≩⫖↰⪸107B=NaN","layer":2},{"info":"⫖↰⪸2976⋝⋈⪟⫖↰⪸876=⫖↰⪸2976","layer":3},{"info":"⫖↰⪸1355⪮%⊝⫖↰⪸B55=⫖↰⪸2912","layer":3},{"info":"⫖↰⪸2976⪢⫖↰⪸2912=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⫖↰⪸3B62⫥∨⫟⫖↰⪸951=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫖↰⪸2924⇋≉=⫖↰⪸5586","layer":3},{"info":"⩦⩻⨪⫖↰⪸A41=⫖↰⪸A41","layer":3},{"info":"⫖↰⪸5586⪮%⊝⫖↰⪸A41=⫖↰⪸B174","layer":2},{"info":"NaN⊉≛↸⫖↰⪸B174=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"($4499$∼$1626$⨎($1098$∲⫓$3008$)↺(($1163$↺$2790$)⨁⊸⫻))⨪↰⇹(($1104$∀⇚≩$4313$)⇷(↩$7062$)⨸⪁(≦∁$1037$)⨽($1240$≦≮≮))","expression":"(⫖↰⪸272B∼⫖↰⪸B36⨎(⫖↰⪸776∲⫓⫖↰⪸18A8)↺((⫖↰⪸80B↺⫖↰⪸1746)⨁⊸⫻))⨪↰⇹((⫖↰⪸780∀⇚≩⫖↰⪸25B5)⇷(↩⫖↰⪸4106)⨸⪁(≦∁⫖↰⪸725)⨽(⫖↰⪸874≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11694,"operation_count":14,"complexity_ratio":835.2857142857143,"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":4499,"base":12},"right_expr":{"type":"numeric_atoms","value":1626,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1098,"base":12},"right_expr":{"type":"numeric_atoms","value":3008,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1163,"base":12},"right_expr":{"type":"numeric_atoms","value":2790,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1104,"base":12},"right_expr":{"type":"numeric_atoms","value":4313,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7062,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1037,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1240,"base":12}}}}},"used_operators":["tmPS8pqC7x","7j4O788W3g","rJVOvQCfKK","DyGG3AbaNP","i8ToyICDmI","glklzrTFfD","g55IO6H4Gj","mp7IySMOzn","LRNGc0VcxI","jLgFTUHLKL","8HhzD0ZcuI","9ICcGScMcE","D4vGDi5EA2"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1746","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4499","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=1626, 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=1098","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3008, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=1163","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=2790, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2790","layer":3},{"info":"compute unary expreesion, input=2790, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2790","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2790, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2790","layer":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=4313","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=4313, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7062","layer":4},{"info":"compute unary expreesion, input=7062, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-53716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-53716, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1037","layer":3},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3720","layer":3},{"info":"compute binary expreesion, left_input=1037, right_input=-3720, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3213633","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3213633, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2790, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2790","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸272B∼⫖↰⪸B36⨎(⫖↰⪸776∲⫓⫖↰⪸18A8)↺((⫖↰⪸80B↺⫖↰⪸1746)⨁⊸⫻))⨪↰⇹((⫖↰⪸780∀⇚≩⫖↰⪸25B5)⇷(↩⫖↰⪸4106)⨸⪁(≦∁⫖↰⪸725)⨽(⫖↰⪸874≦≮≮))=⫖↰⪸1746","reverse_text":"⫖↰⪸1746=(⫖↰⪸272B∼⫖↰⪸B36⨎(⫖↰⪸776∲⫓⫖↰⪸18A8)↺((⫖↰⪸80B↺⫖↰⪸1746)⨁⊸⫻))⨪↰⇹((⫖↰⪸780∀⇚≩⫖↰⪸25B5)⇷(↩⫖↰⪸4106)⨸⪁(≦∁⫖↰⪸725)⨽(⫖↰⪸874≦≮≮))","cot":[{"info":"⫖↰⪸272B∼⫖↰⪸B36=NaN","layer":3},{"info":"⫖↰⪸776∲⫓⫖↰⪸18A8=⫖↰⪸0","layer":3},{"info":"NaN⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸80B↺⫖↰⪸1746=⫖↰⪸1746","layer":3},{"info":"⫖↰⪸1746⨁⊸⫻=⫖↰⪸1746","layer":2},{"info":"⫖↰⪸0↺⫖↰⪸1746=⫖↰⪸1746","layer":1},{"info":"⫖↰⪸780∀⇚≩⫖↰⪸25B5=NaN","layer":3},{"info":"↩⫖↰⪸4106=⫖↰⪸-27104","layer":3},{"info":"NaN⇷⫖↰⪸-27104=NaN","layer":2},{"info":"≦∁⫖↰⪸725=⫖↰⪸725","layer":3},{"info":"⫖↰⪸874≦≮≮=⫖↰⪸-21A0","layer":3},{"info":"⫖↰⪸725⨽⫖↰⪸-21A0=⫖↰⪸-10AB8A9","layer":2},{"info":"NaN⨸⪁⫖↰⪸-10AB8A9=NaN","layer":1},{"info":"⫖↰⪸1746⨪↰⇹NaN=⫖↰⪸1746","layer":0}]}
{"id":545,"expression_no_base_symbol":"($2090$∑⇟⊟$1646$⋳⪒($1390$⋥≓≎$2260$)⫌⩹⨱)⇷(($3483$⨰$3225$)⇷($5577$⋷$3852$)⋝⋈⪟(⨰⫟⨤($4920$⨽$1999$)))","expression":"(⫖↰⪸1262∑⇟⊟⫖↰⪸B52⋳⪒(⫖↰⪸97A⋥≓≎⫖↰⪸1384)⫌⩹⨱)⇷((⫖↰⪸2023⨰⫖↰⪸1A49)⇷(⫖↰⪸3289⋷⫖↰⪸2290)⋝⋈⪟(⨰⫟⨤(⫖↰⪸2A20⨽⫖↰⪸11A7)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":145257385,"operation_count":11,"complexity_ratio":13205216.818181818,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2090,"base":12},"right_expr":{"type":"numeric_atoms","value":1646,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1390,"base":12},"right_expr":{"type":"numeric_atoms","value":2260,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3483,"base":12},"right_expr":{"type":"numeric_atoms","value":3225,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5577,"base":12},"right_expr":{"type":"numeric_atoms","value":3852,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4920,"base":12},"right_expr":{"type":"numeric_atoms","value":1999,"base":12}}}}},"used_operators":["mp7IySMOzn","EBcxylXtPf","12rbrZMWeM","U7g4x0WXJJ","Qy55tPpLXF","2DDjHMKMc0","eewbuw0ToL","23Mk6UjR3U","Tw270M8GLb","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1646, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=2260, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3163","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3163, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"number node, value=3483","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=3225, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=268","layer":3},{"info":"number node, value=5577","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=5577, right_input=3852, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2127","layer":3},{"info":"compute binary expreesion, left_input=268, right_input=2127, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4254","layer":2},{"info":"number node, value=4920","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=4920, right_input=1999, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72623883","layer":3},{"info":"compute unary expreesion, input=-72623883, 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=4254, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1262∑⇟⊟⫖↰⪸B52⋳⪒(⫖↰⪸97A⋥≓≎⫖↰⪸1384)⫌⩹⨱)⇷((⫖↰⪸2023⨰⫖↰⪸1A49)⇷(⫖↰⪸3289⋷⫖↰⪸2290)⋝⋈⪟(⨰⫟⨤(⫖↰⪸2A20⨽⫖↰⪸11A7)))=NaN","reverse_text":"NaN=(⫖↰⪸1262∑⇟⊟⫖↰⪸B52⋳⪒(⫖↰⪸97A⋥≓≎⫖↰⪸1384)⫌⩹⨱)⇷((⫖↰⪸2023⨰⫖↰⪸1A49)⇷(⫖↰⪸3289⋷⫖↰⪸2290)⋝⋈⪟(⨰⫟⨤(⫖↰⪸2A20⨽⫖↰⪸11A7)))","cot":[{"info":"⫖↰⪸1262∑⇟⊟⫖↰⪸B52=NaN","layer":3},{"info":"⫖↰⪸97A⋥≓≎⫖↰⪸1384=⫖↰⪸19B7","layer":3},{"info":"NaN⋳⪒⫖↰⪸19B7=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⫖↰⪸2023⨰⫖↰⪸1A49=⫖↰⪸1A4","layer":3},{"info":"⫖↰⪸3289⋷⫖↰⪸2290=⫖↰⪸1293","layer":3},{"info":"⫖↰⪸1A4⇷⫖↰⪸1293=⫖↰⪸2566","layer":2},{"info":"⫖↰⪸2A20⨽⫖↰⪸11A7=⫖↰⪸-203A3863","layer":3},{"info":"⨰⫟⨤⫖↰⪸-203A3863=NaN","layer":2},{"info":"⫖↰⪸2566⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"((∥⊫$4207$)⩚⊴⇥($3205$⨽$2479$)⊦⊿)⪛(((⨰⫟⨤$2547$)⪒($4517$⨵⪆$1607$))⩠)","expression":"((∥⊫⫖↰⪸2527)⩚⊴⇥(⫖↰⪸1A31⨽⫖↰⪸1527)⊦⊿)⪛(((⨰⫟⨤⫖↰⪸1583)⪒(⫖↰⪸2745⨵⪆⫖↰⪸B1B))⩠)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12601,"operation_count":9,"complexity_ratio":1400.111111111111,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4207,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3205,"base":12},"right_expr":{"type":"numeric_atoms","value":2479,"base":12}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2547,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4517,"base":12},"right_expr":{"type":"numeric_atoms","value":1607,"base":12}}}}},"used_operators":["uFcxV4UQCh","14qkJME0vr","NTOWxs364D","P8v4zCKN1o","8HhzD0ZcuI","sJAwomhLZr","f6k1SAg4EE","Tw270M8GLb","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4207","layer":4},{"info":"compute unary expreesion, input=4207, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5075","layer":3},{"info":"number node, value=3205","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=2479, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30822198","layer":3},{"info":"compute binary expreesion, left_input=5075, right_input=-30822198, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=30817002","layer":2},{"info":"compute unary expreesion, input=30817002, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-92451085","layer":1},{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4517","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=1607, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-92451085, 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":"((∥⊫⫖↰⪸2527)⩚⊴⇥(⫖↰⪸1A31⨽⫖↰⪸1527)⊦⊿)⪛(((⨰⫟⨤⫖↰⪸1583)⪒(⫖↰⪸2745⨵⪆⫖↰⪸B1B))⩠)=NaN","reverse_text":"NaN=((∥⊫⫖↰⪸2527)⩚⊴⇥(⫖↰⪸1A31⨽⫖↰⪸1527)⊦⊿)⪛(((⨰⫟⨤⫖↰⪸1583)⪒(⫖↰⪸2745⨵⪆⫖↰⪸B1B))⩠)","cot":[{"info":"∥⊫⫖↰⪸2527=⫖↰⪸2B2B","layer":3},{"info":"⫖↰⪸1A31⨽⫖↰⪸1527=⫖↰⪸-A3A4B06","layer":3},{"info":"⫖↰⪸2B2B⩚⊴⇥⫖↰⪸-A3A4B06=⫖↰⪸A3A1AB6","layer":2},{"info":"⫖↰⪸A3A1AB6⊦⊿=⫖↰⪸-26B65951","layer":1},{"info":"⨰⫟⨤⫖↰⪸1583=NaN","layer":3},{"info":"⫖↰⪸2745⨵⪆⫖↰⪸B1B=⫖↰⪸114","layer":3},{"info":"NaN⪒⫖↰⪸114=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫖↰⪸-26B65951⪛NaN=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"((⫓⪴$1613$)⨎$5537$⩚⊴⇥$6380$⪒($3057$⨐⩸⫘$1836$)⪘⫢($3844$⫸⊐$1406$))≭(⊥(($2466$⨵⪆$6528$)∲⫓($1194$⫡⨏$3310$)))","expression":"((⫓⪴⫖↰⪸B25)⨎⫖↰⪸3255⩚⊴⇥⫖↰⪸3838⪒(⫖↰⪸1929⨐⩸⫘⫖↰⪸1090)⪘⫢(⫖↰⪸2284⫸⊐⫖↰⪸992))≭(⊥((⫖↰⪸1516⨵⪆⫖↰⪸3940)∲⫓(⫖↰⪸836⫡⨏⫖↰⪸1ABA)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1666,"operation_count":12,"complexity_ratio":138.83333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1613,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5537,"base":12},"right_expr":{"type":"numeric_atoms","value":6380,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3057,"base":12},"right_expr":{"type":"numeric_atoms","value":1836,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3844,"base":12},"right_expr":{"type":"numeric_atoms","value":1406,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2466,"base":12},"right_expr":{"type":"numeric_atoms","value":6528,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1194,"base":12},"right_expr":{"type":"numeric_atoms","value":3310,"base":12}}}}},"used_operators":["rxpJgHHUmx","f6k1SAg4EE","rJVOvQCfKK","eLxqMNBOBk","NTOWxs364D","oacrs7FA3X","fu6greOZ01","mqXw5SEYmG","Q3PJZHRvZv","i8ToyICDmI","2DQ55sFlQl","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2601769","layer":3},{"info":"number node, value=5537","layer":4},{"info":"number node, value=6380","layer":4},{"info":"compute binary expreesion, left_input=5537, right_input=6380, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12038","layer":3},{"info":"compute binary expreesion, left_input=2601769, right_input=-12038, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-12038","layer":2},{"info":"number node, value=3057","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=1836, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3844","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=1406, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5499","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5499, 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=-12038, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2466","layer":4},{"info":"number node, value=6528","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=6528, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=3310, 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=13373","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=13373, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":12,"result_base":12,"text":"((⫓⪴⫖↰⪸B25)⨎⫖↰⪸3255⩚⊴⇥⫖↰⪸3838⪒(⫖↰⪸1929⨐⩸⫘⫖↰⪸1090)⪘⫢(⫖↰⪸2284⫸⊐⫖↰⪸992))≭(⊥((⫖↰⪸1516⨵⪆⫖↰⪸3940)∲⫓(⫖↰⪸836⫡⨏⫖↰⪸1ABA)))=⫖↰⪸-1A","reverse_text":"⫖↰⪸-1A=((⫓⪴⫖↰⪸B25)⨎⫖↰⪸3255⩚⊴⇥⫖↰⪸3838⪒(⫖↰⪸1929⨐⩸⫘⫖↰⪸1090)⪘⫢(⫖↰⪸2284⫸⊐⫖↰⪸992))≭(⊥((⫖↰⪸1516⨵⪆⫖↰⪸3940)∲⫓(⫖↰⪸836⫡⨏⫖↰⪸1ABA)))","cot":[{"info":"⫓⪴⫖↰⪸B25=⫖↰⪸A557A1","layer":3},{"info":"⫖↰⪸3255⩚⊴⇥⫖↰⪸3838=⫖↰⪸-6B72","layer":3},{"info":"⫖↰⪸A557A1⨎⫖↰⪸-6B72=⫖↰⪸-6B72","layer":2},{"info":"⫖↰⪸1929⨐⩸⫘⫖↰⪸1090=NaN","layer":3},{"info":"⫖↰⪸2284⫸⊐⫖↰⪸992=⫖↰⪸3223","layer":3},{"info":"NaN⪘⫢⫖↰⪸3223=NaN","layer":2},{"info":"⫖↰⪸-6B72⪒NaN=NaN","layer":1},{"info":"⫖↰⪸1516⨵⪆⫖↰⪸3940=⫖↰⪸114","layer":3},{"info":"⫖↰⪸836⫡⨏⫖↰⪸1ABA=⫖↰⪸78A5","layer":3},{"info":"⫖↰⪸114∲⫓⫖↰⪸78A5=⫖↰⪸0","layer":2},{"info":"⊥⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN≭⫖↰⪸0=⫖↰⪸-1A","layer":0}]}
{"id":548,"expression_no_base_symbol":"($2260$∼$1649$⨓($1921$⩚⊴⇥$6666$)-($2094$≣⋋)⋓$1772$⪢$1110$)⪘⫢(+⊝⨔($2002$⨓$4710$-(↣≠⋷$7981$)))","expression":"(⫖↰⪸1384∼⫖↰⪸B55⨓(⫖↰⪸1141⩚⊴⇥⫖↰⪸3A36)-(⫖↰⪸1266≣⋋)⋓⫖↰⪸1038⪢⫖↰⪸786)⪘⫢(+⊝⨔(⫖↰⪸11AA⨓⫖↰⪸2886-(↣≠⋷⫖↰⪸4751)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16046,"operation_count":12,"complexity_ratio":1337.1666666666667,"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":2260,"base":12},"right_expr":{"type":"numeric_atoms","value":1649,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1921,"base":12},"right_expr":{"type":"numeric_atoms","value":6666,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2094,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1772,"base":12},"right_expr":{"type":"numeric_atoms","value":1110,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2002,"base":12},"right_expr":{"type":"numeric_atoms","value":4710,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7981,"base":12}}}}},"used_operators":["oacrs7FA3X","rysDP5nf3Z","3ViojmjbAp","DyGG3AbaNP","NTOWxs364D","T2fj7uvVaJ","Tcnh7f0tEr","dWAJyo7jo9","DhbWaqg5eL","Asc51vEJeQ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2260","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=1649, 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=1921","layer":4},{"info":"number node, value=6666","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=6666, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8708","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8708, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=8705","layer":2},{"info":"number node, value=2094","layer":4},{"info":"compute unary expreesion, input=2094, 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=1772","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1110, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8705, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2002","layer":4},{"info":"number node, value=4710","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=4710, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4713","layer":3},{"info":"number node, value=7981","layer":4},{"info":"compute unary expreesion, input=7981, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4713, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 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":"(⫖↰⪸1384∼⫖↰⪸B55⨓(⫖↰⪸1141⩚⊴⇥⫖↰⪸3A36)-(⫖↰⪸1266≣⋋)⋓⫖↰⪸1038⪢⫖↰⪸786)⪘⫢(+⊝⨔(⫖↰⪸11AA⨓⫖↰⪸2886-(↣≠⋷⫖↰⪸4751)))=NaN","reverse_text":"NaN=(⫖↰⪸1384∼⫖↰⪸B55⨓(⫖↰⪸1141⩚⊴⇥⫖↰⪸3A36)-(⫖↰⪸1266≣⋋)⋓⫖↰⪸1038⪢⫖↰⪸786)⪘⫢(+⊝⨔(⫖↰⪸11AA⨓⫖↰⪸2886-(↣≠⋷⫖↰⪸4751)))","cot":[{"info":"⫖↰⪸1384∼⫖↰⪸B55=NaN","layer":3},{"info":"⫖↰⪸1141⩚⊴⇥⫖↰⪸3A36=⫖↰⪸-5058","layer":3},{"info":"NaN⨓⫖↰⪸-5058=⫖↰⪸5055","layer":2},{"info":"⫖↰⪸1266≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1038⪢⫖↰⪸786=NaN","layer":3},{"info":"⫖↰⪸0⋓NaN=NaN","layer":2},{"info":"⫖↰⪸5055-NaN=NaN","layer":1},{"info":"⫖↰⪸11AA⨓⫖↰⪸2886=⫖↰⪸-2889","layer":3},{"info":"↣≠⋷⫖↰⪸4751=NaN","layer":3},{"info":"⫖↰⪸-2889-NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":1},{"info":"NaN⪘⫢⫖↰⪸A6A=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"($5909$⇋≉)⩚⊴⇥($3244$⨸⪁$3267$)⩚⊴⇥((⪲⇎$4321$)⫸⊐$2459$⊴$4969$)⩨($1862$↺$3418$⇼⇔∾($1509$⨵⪆$5199$))⋓(+⊝⨔(⩦⩻⨪$1772$))","expression":"(⫖↰⪸3505⇋≉)⩚⊴⇥(⫖↰⪸1A64⨸⪁⫖↰⪸1A83)⩚⊴⇥((⪲⇎⫖↰⪸2601)⫸⊐⫖↰⪸150B⊴⫖↰⪸2A61)⩨(⫖↰⪸10B2↺⫖↰⪸1B8A⇼⇔∾(⫖↰⪸A59⨵⪆⫖↰⪸3013))⋓(+⊝⨔(⩦⩻⨪⫖↰⪸1038))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5076,"operation_count":14,"complexity_ratio":362.57142857142856,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5909,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3244,"base":12},"right_expr":{"type":"numeric_atoms","value":3267,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4321,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2459,"base":12},"right_expr":{"type":"numeric_atoms","value":4969,"base":12}}}},"right_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":3418,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1509,"base":12},"right_expr":{"type":"numeric_atoms","value":5199,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1772,"base":12}}}}},"used_operators":["2DlMacCsIx","NTOWxs364D","XIabStNQrY","g55IO6H4Gj","mqXw5SEYmG","XPYlsWDdGa","Nsiff2A1zJ","T2fj7uvVaJ","tifHPKVTfV","7j4O788W3g","2DQ55sFlQl","DhbWaqg5eL","2td37pGCOC"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5909","layer":4},{"info":"compute unary expreesion, input=5909, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11720","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=3267, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13022","layer":3},{"info":"compute binary expreesion, left_input=11720, right_input=13022, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-24863","layer":2},{"info":"number node, value=4321","layer":4},{"info":"compute unary expreesion, input=4321, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8642","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=4969","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=4969, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8642, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24863, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1862","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=3418, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3418","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=5199, 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=3418, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3258","layer":2},{"info":"number node, value=1772","layer":4},{"info":"compute unary expreesion, input=1772, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1772","layer":3},{"info":"compute unary expreesion, input=1772, 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=-3258, right_input=1522, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3505⇋≉)⩚⊴⇥(⫖↰⪸1A64⨸⪁⫖↰⪸1A83)⩚⊴⇥((⪲⇎⫖↰⪸2601)⫸⊐⫖↰⪸150B⊴⫖↰⪸2A61)⩨(⫖↰⪸10B2↺⫖↰⪸1B8A⇼⇔∾(⫖↰⪸A59⨵⪆⫖↰⪸3013))⋓(+⊝⨔(⩦⩻⨪⫖↰⪸1038))=NaN","reverse_text":"NaN=(⫖↰⪸3505⇋≉)⩚⊴⇥(⫖↰⪸1A64⨸⪁⫖↰⪸1A83)⩚⊴⇥((⪲⇎⫖↰⪸2601)⫸⊐⫖↰⪸150B⊴⫖↰⪸2A61)⩨(⫖↰⪸10B2↺⫖↰⪸1B8A⇼⇔∾(⫖↰⪸A59⨵⪆⫖↰⪸3013))⋓(+⊝⨔(⩦⩻⨪⫖↰⪸1038))","cot":[{"info":"⫖↰⪸3505⇋≉=⫖↰⪸6948","layer":3},{"info":"⫖↰⪸1A64⨸⪁⫖↰⪸1A83=⫖↰⪸7652","layer":3},{"info":"⫖↰⪸6948⩚⊴⇥⫖↰⪸7652=⫖↰⪸-1247B","layer":2},{"info":"⪲⇎⫖↰⪸2601=⫖↰⪸5002","layer":3},{"info":"⫖↰⪸150B⊴⫖↰⪸2A61=NaN","layer":3},{"info":"⫖↰⪸5002⫸⊐NaN=NaN","layer":2},{"info":"⫖↰⪸-1247B⩚⊴⇥NaN=NaN","layer":1},{"info":"⫖↰⪸10B2↺⫖↰⪸1B8A=⫖↰⪸1B8A","layer":3},{"info":"⫖↰⪸A59⨵⪆⫖↰⪸3013=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1B8A⇼⇔∾⫖↰⪸114=⫖↰⪸-1A76","layer":2},{"info":"⩦⩻⨪⫖↰⪸1038=⫖↰⪸1038","layer":3},{"info":"+⊝⨔⫖↰⪸1038=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸-1A76⋓⫖↰⪸A6A=⫖↰⪸0","layer":1},{"info":"NaN⩨⫖↰⪸0=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"((⨑⩽⪐$2109$)∀⇚≩$3647$↬$1145$⫸⊐($1879$⩚⊴⇥$1567$⊉≛↸(↥$5091$)))⨳⩥⨓(⨞⊢(↣≠⋷$3017$))⨪↰⇹($3153$≎⊠⪸$5902$)⨟⋌⩍(∂$3723$)","expression":"((⨑⩽⪐⫖↰⪸1279)∀⇚≩⫖↰⪸213B↬⫖↰⪸7B5⫸⊐(⫖↰⪸1107⩚⊴⇥⫖↰⪸AA7⊉≛↸(↥⫖↰⪸2B43)))⨳⩥⨓(⨞⊢(↣≠⋷⫖↰⪸18B5))⨪↰⇹(⫖↰⪸19A9≎⊠⪸⫖↰⪸34BA)⨟⋌⩍(∂⫖↰⪸21A3)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13248,"operation_count":14,"complexity_ratio":946.2857142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2109,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3647,"base":12},"right_expr":{"type":"numeric_atoms","value":1145,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1879,"base":12},"right_expr":{"type":"numeric_atoms","value":1567,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5091,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3017,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3153,"base":12},"right_expr":{"type":"numeric_atoms","value":5902,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3723,"base":12}}}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","LRNGc0VcxI","AF7qkfDlqP","B5M0gjZbta","DZ8iAZOCBD","NTOWxs364D","A8NUZmVepG","tmPS8pqC7x","xUOZtlo3hN","Asc51vEJeQ","rGHVDoGpnC","bJkvcejdHO","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1836","layer":3},{"info":"number node, value=3647","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=1145, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1836, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1879","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1879, right_input=1567, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3567","layer":3},{"info":"number node, value=5091","layer":4},{"info":"compute unary expreesion, input=5091, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=42","layer":3},{"info":"compute binary expreesion, left_input=-3567, right_input=42, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=3153","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=5902, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=816154","layer":3},{"info":"number node, value=3723","layer":4},{"info":"compute unary expreesion, input=3723, 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=816154, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨑⩽⪐⫖↰⪸1279)∀⇚≩⫖↰⪸213B↬⫖↰⪸7B5⫸⊐(⫖↰⪸1107⩚⊴⇥⫖↰⪸AA7⊉≛↸(↥⫖↰⪸2B43)))⨳⩥⨓(⨞⊢(↣≠⋷⫖↰⪸18B5))⨪↰⇹(⫖↰⪸19A9≎⊠⪸⫖↰⪸34BA)⨟⋌⩍(∂⫖↰⪸21A3)=NaN","reverse_text":"NaN=((⨑⩽⪐⫖↰⪸1279)∀⇚≩⫖↰⪸213B↬⫖↰⪸7B5⫸⊐(⫖↰⪸1107⩚⊴⇥⫖↰⪸AA7⊉≛↸(↥⫖↰⪸2B43)))⨳⩥⨓(⨞⊢(↣≠⋷⫖↰⪸18B5))⨪↰⇹(⫖↰⪸19A9≎⊠⪸⫖↰⪸34BA)⨟⋌⩍(∂⫖↰⪸21A3)","cot":[{"info":"⨑⩽⪐⫖↰⪸1279=⫖↰⪸-1090","layer":3},{"info":"⫖↰⪸213B↬⫖↰⪸7B5=NaN","layer":3},{"info":"⫖↰⪸-1090∀⇚≩NaN=NaN","layer":2},{"info":"⫖↰⪸1107⩚⊴⇥⫖↰⪸AA7=⫖↰⪸-2093","layer":3},{"info":"↥⫖↰⪸2B43=⫖↰⪸36","layer":3},{"info":"⫖↰⪸-2093⊉≛↸⫖↰⪸36=⫖↰⪸-36","layer":2},{"info":"NaN⫸⊐⫖↰⪸-36=NaN","layer":1},{"info":"↣≠⋷⫖↰⪸18B5=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫖↰⪸19A9≎⊠⪸⫖↰⪸34BA=⫖↰⪸33438A","layer":3},{"info":"∂⫖↰⪸21A3=NaN","layer":3},{"info":"⫖↰⪸33438A⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":551,"expression_no_base_symbol":"($1092$≦≮≮)⩷∴($2656$⋳⪒$2124$)≎⊠⪸((⋗⩬⋾$1973$)⫥∨⫟($7698$⨎$5488$))⫥∨⫟(($4680$≹⇙⪍$2519$↙($2245$⨁⊸⫻))⨁⊸⫻)","expression":"(⫖↰⪸770≦≮≮)⩷∴(⫖↰⪸1654⋳⪒⫖↰⪸1290)≎⊠⪸((⋗⩬⋾⫖↰⪸1185)⫥∨⫟(⫖↰⪸4556⨎⫖↰⪸3214))⫥∨⫟((⫖↰⪸2860≹⇙⪍⫖↰⪸155B↙(⫖↰⪸1371⨁⊸⫻))⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":343,"operation_count":12,"complexity_ratio":28.583333333333332,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1092,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2656,"base":12},"right_expr":{"type":"numeric_atoms","value":2124,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1973,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7698,"base":12},"right_expr":{"type":"numeric_atoms","value":5488,"base":12}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4680,"base":12},"right_expr":{"type":"numeric_atoms","value":2519,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2245,"base":12}}}}},"used_operators":["KYD54nUTWz","bJkvcejdHO","9FxExcQeMw","D4vGDi5EA2","12rbrZMWeM","DpFCA1CohY","rJVOvQCfKK","glklzrTFfD","yyfyN0ffXY","AHs5Up7iyr"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9"],"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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3276","layer":3},{"info":"number node, value=2656","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=2124, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2901","layer":3},{"info":"compute binary expreesion, left_input=-3276, right_input=2901, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12386","layer":2},{"info":"number node, value=1973","layer":4},{"info":"compute unary expreesion, input=1973, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5919","layer":3},{"info":"number node, value=7698","layer":4},{"info":"number node, value=5488","layer":4},{"info":"compute binary expreesion, left_input=7698, right_input=5488, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5488","layer":3},{"info":"compute binary expreesion, left_input=-5919, right_input=5488, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12386, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4680","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=2519, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2245","layer":4},{"info":"compute unary expreesion, input=2245, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2245, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸770≦≮≮)⩷∴(⫖↰⪸1654⋳⪒⫖↰⪸1290)≎⊠⪸((⋗⩬⋾⫖↰⪸1185)⫥∨⫟(⫖↰⪸4556⨎⫖↰⪸3214))⫥∨⫟((⫖↰⪸2860≹⇙⪍⫖↰⪸155B↙(⫖↰⪸1371⨁⊸⫻))⨁⊸⫻)=NaN","reverse_text":"NaN=(⫖↰⪸770≦≮≮)⩷∴(⫖↰⪸1654⋳⪒⫖↰⪸1290)≎⊠⪸((⋗⩬⋾⫖↰⪸1185)⫥∨⫟(⫖↰⪸4556⨎⫖↰⪸3214))⫥∨⫟((⫖↰⪸2860≹⇙⪍⫖↰⪸155B↙(⫖↰⪸1371⨁⊸⫻))⨁⊸⫻)","cot":[{"info":"⫖↰⪸770≦≮≮=⫖↰⪸-1A90","layer":3},{"info":"⫖↰⪸1654⋳⪒⫖↰⪸1290=⫖↰⪸1819","layer":3},{"info":"⫖↰⪸-1A90⩷∴⫖↰⪸1819=⫖↰⪸-7202","layer":2},{"info":"⋗⩬⋾⫖↰⪸1185=⫖↰⪸-3513","layer":3},{"info":"⫖↰⪸4556⨎⫖↰⪸3214=⫖↰⪸3214","layer":3},{"info":"⫖↰⪸-3513⫥∨⫟⫖↰⪸3214=NaN","layer":2},{"info":"⫖↰⪸-7202≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸2860≹⇙⪍⫖↰⪸155B=NaN","layer":3},{"info":"⫖↰⪸1371⨁⊸⫻=⫖↰⪸1371","layer":3},{"info":"NaN↙⫖↰⪸1371=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⫖↰⪸57⫥∨⫟NaN=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"($1852$⋷$5958$)⋓(↩$4050$)⋳⪒(↯⪼($1747$⨵⪆$2336$))⋷((($1589$⨸⪁$5868$)∸)⋷(⫛⫱⨽($4164$/$5645$)))","expression":"(⫖↰⪸10A4⋷⫖↰⪸3546)⋓(↩⫖↰⪸2416)⋳⪒(↯⪼(⫖↰⪸1017⨵⪆⫖↰⪸1428))⋷(((⫖↰⪸B05⨸⪁⫖↰⪸3490)∸)⋷(⫛⫱⨽(⫖↰⪸24B0/⫖↰⪸3325)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1168,"operation_count":12,"complexity_ratio":97.33333333333333,"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":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":5958,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4050,"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":2336,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1589,"base":12},"right_expr":{"type":"numeric_atoms","value":5868,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4164,"base":12},"right_expr":{"type":"numeric_atoms","value":5645,"base":12}}}}},"used_operators":["23Mk6UjR3U","12rbrZMWeM","T2fj7uvVaJ","jLgFTUHLKL","8jW3W4yZS5","2DQ55sFlQl","o20kRiQErp","g55IO6H4Gj","DlLNRPXxWL","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z"],"result":"⫖↰⪸384","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1852","layer":4},{"info":"number node, value=5958","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=5958, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10064","layer":3},{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29620","layer":3},{"info":"compute binary expreesion, left_input=10064, right_input=-29620, 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=1747","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=2336, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-266","layer":1},{"info":"number node, value=1589","layer":4},{"info":"number node, value=5868","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=5868, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14914","layer":3},{"info":"compute unary expreesion, input=14914, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4164","layer":4},{"info":"number node, value=5645","layer":4},{"info":"compute binary expreesion, left_input=4164, right_input=5645, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":1},{"info":"compute binary expreesion, left_input=-266, right_input=-354, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=532","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸10A4⋷⫖↰⪸3546)⋓(↩⫖↰⪸2416)⋳⪒(↯⪼(⫖↰⪸1017⨵⪆⫖↰⪸1428))⋷(((⫖↰⪸B05⨸⪁⫖↰⪸3490)∸)⋷(⫛⫱⨽(⫖↰⪸24B0/⫖↰⪸3325)))=⫖↰⪸384","reverse_text":"⫖↰⪸384=(⫖↰⪸10A4⋷⫖↰⪸3546)⋓(↩⫖↰⪸2416)⋳⪒(↯⪼(⫖↰⪸1017⨵⪆⫖↰⪸1428))⋷(((⫖↰⪸B05⨸⪁⫖↰⪸3490)∸)⋷(⫛⫱⨽(⫖↰⪸24B0/⫖↰⪸3325)))","cot":[{"info":"⫖↰⪸10A4⋷⫖↰⪸3546=⫖↰⪸59A8","layer":3},{"info":"↩⫖↰⪸2416=⫖↰⪸-15184","layer":3},{"info":"⫖↰⪸59A8⋓⫖↰⪸-15184=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1017⨵⪆⫖↰⪸1428=⫖↰⪸114","layer":3},{"info":"↯⪼⫖↰⪸114=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸0⋳⪒⫖↰⪸-19=⫖↰⪸-1A2","layer":1},{"info":"⫖↰⪸B05⨸⪁⫖↰⪸3490=⫖↰⪸876A","layer":3},{"info":"⫖↰⪸876A∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸24B0/⫖↰⪸3325=⫖↰⪸0","layer":3},{"info":"⫛⫱⨽⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸129⋷⫖↰⪸0=⫖↰⪸-256","layer":1},{"info":"⫖↰⪸-1A2⋷⫖↰⪸-256=⫖↰⪸384","layer":0}]}
{"id":553,"expression_no_base_symbol":"((⪲⇎$3215$⋓$1012$)⋥≓≎(⩦⩻⨪$5054$)⪘⫢$1348$∀⇚≩$1452$)≭((⨰⫟⨤$5809$)≧⫂∧($6149$≎⊠⪸$2999$))⪛(($3013$⫩⊇)⨳⩥⨓$5676$⨐⩸⫘$1419$)","expression":"((⪲⇎⫖↰⪸1A3B⋓⫖↰⪸704)⋥≓≎(⩦⩻⨪⫖↰⪸2B12)⪘⫢⫖↰⪸944∀⇚≩⫖↰⪸A10)≭((⨰⫟⨤⫖↰⪸3441)≧⫂∧(⫖↰⪸3685≎⊠⪸⫖↰⪸189B))⪛((⫖↰⪸18B1⫩⊇)⨳⩥⨓⫖↰⪸3350⨐⩸⫘⫖↰⪸9A3)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32145,"operation_count":14,"complexity_ratio":2296.0714285714284,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3215,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5054,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1348,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5809,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6149,"base":12},"right_expr":{"type":"numeric_atoms","value":2999,"base":12}}},"right_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":5676,"base":12},"right_expr":{"type":"numeric_atoms","value":1419,"base":12}}}}},"used_operators":["rxpJgHHUmx","Qy55tPpLXF","XPYlsWDdGa","T2fj7uvVaJ","oacrs7FA3X","2td37pGCOC","LRNGc0VcxI","uFcxV4UQCh","Ph9nP6C5qx","Tw270M8GLb","bJkvcejdHO","nCS4ZIUYfx","BjRHVeLaeN","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3215","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=1012, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=5054","layer":4},{"info":"compute unary expreesion, input=5054, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5054","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1452, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5054, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=5809","layer":4},{"info":"compute unary expreesion, input=5809, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6149","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=6149, right_input=2999, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1592118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1592118, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1591645","layer":2},{"info":"number node, value=3013","layer":4},{"info":"compute unary expreesion, input=3013, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2971","layer":3},{"info":"number node, value=5676","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=5676, right_input=1419, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-2971, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1591645, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪲⇎⫖↰⪸1A3B⋓⫖↰⪸704)⋥≓≎(⩦⩻⨪⫖↰⪸2B12)⪘⫢⫖↰⪸944∀⇚≩⫖↰⪸A10)≭((⨰⫟⨤⫖↰⪸3441)≧⫂∧(⫖↰⪸3685≎⊠⪸⫖↰⪸189B))⪛((⫖↰⪸18B1⫩⊇)⨳⩥⨓⫖↰⪸3350⨐⩸⫘⫖↰⪸9A3)=NaN","reverse_text":"NaN=((⪲⇎⫖↰⪸1A3B⋓⫖↰⪸704)⋥≓≎(⩦⩻⨪⫖↰⪸2B12)⪘⫢⫖↰⪸944∀⇚≩⫖↰⪸A10)≭((⨰⫟⨤⫖↰⪸3441)≧⫂∧(⫖↰⪸3685≎⊠⪸⫖↰⪸189B))⪛((⫖↰⪸18B1⫩⊇)⨳⩥⨓⫖↰⪸3350⨐⩸⫘⫖↰⪸9A3)","cot":[{"info":"⫖↰⪸1A3B⋓⫖↰⪸704=⫖↰⪸0","layer":3},{"info":"⪲⇎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⩦⩻⨪⫖↰⪸2B12=⫖↰⪸2B12","layer":3},{"info":"⫖↰⪸944∀⇚≩⫖↰⪸A10=NaN","layer":3},{"info":"⫖↰⪸2B12⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸0⋥≓≎NaN=NaN","layer":1},{"info":"⨰⫟⨤⫖↰⪸3441=NaN","layer":3},{"info":"⫖↰⪸3685≎⊠⪸⫖↰⪸189B=⫖↰⪸649446","layer":3},{"info":"NaN≧⫂∧⫖↰⪸649446=⫖↰⪸649111","layer":2},{"info":"⫖↰⪸18B1⫩⊇=⫖↰⪸-1877","layer":3},{"info":"⫖↰⪸3350⨐⩸⫘⫖↰⪸9A3=NaN","layer":3},{"info":"⫖↰⪸-1877⨳⩥⨓NaN=NaN","layer":2},{"info":"⫖↰⪸649111⪛NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"(⪝⪂⫅($2967$⪘⫢$2453$⇼⇔∾$2546$↬$1753$))↪⪝","expression":"(⪝⪂⫅(⫖↰⪸1873⪘⫢⫖↰⪸1505⇼⇔∾⫖↰⪸1582↬⫖↰⪸1021))↪⪝","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":5,"complexity_ratio":5.4,"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":2967,"base":12},"right_expr":{"type":"numeric_atoms","value":2453,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2546,"base":12},"right_expr":{"type":"numeric_atoms","value":1753,"base":12}}}}},"used_operators":["l07mrZUIn9","XTarYq4gQB","tifHPKVTfV","oacrs7FA3X","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2967","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=2453, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5810","layer":3},{"info":"number node, value=2546","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=1753, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5810, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*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":"(⪝⪂⫅(⫖↰⪸1873⪘⫢⫖↰⪸1505⇼⇔∾⫖↰⪸1582↬⫖↰⪸1021))↪⪝=NaN","reverse_text":"NaN=(⪝⪂⫅(⫖↰⪸1873⪘⫢⫖↰⪸1505⇼⇔∾⫖↰⪸1582↬⫖↰⪸1021))↪⪝","cot":[{"info":"⫖↰⪸1873⪘⫢⫖↰⪸1505=⫖↰⪸3442","layer":3},{"info":"⫖↰⪸1582↬⫖↰⪸1021=NaN","layer":3},{"info":"⫖↰⪸3442⇼⇔∾NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"⊄⩳↩($2082$≹⇙⪍$1320$⨓(⨰⫟⨤$2853$)⫡⨏$1694$≧⫂∧$3810$⋳⪒$1266$↬$1384$)","expression":"⊄⩳↩(⫖↰⪸1256≹⇙⪍⫖↰⪸920⨓(⨰⫟⨤⫖↰⪸1799)⫡⨏⫖↰⪸B92≧⫂∧⫖↰⪸2256⋳⪒⫖↰⪸896↬⫖↰⪸974)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10599,"operation_count":8,"complexity_ratio":1324.875,"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":2082,"base":12},"right_expr":{"type":"numeric_atoms","value":1320,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2853,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1694,"base":12},"right_expr":{"type":"numeric_atoms","value":3810,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1266,"base":12},"right_expr":{"type":"numeric_atoms","value":1384,"base":12}}}}},"used_operators":["8w2t5hMYqp","QMFrweE19q","3ViojmjbAp","AHs5Up7iyr","Tw270M8GLb","12rbrZMWeM","Ph9nP6C5qx","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2082","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=1320, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2853","layer":4},{"info":"compute unary expreesion, input=2853, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1694","layer":4},{"info":"number node, value=3810","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=3810, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3337","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1384, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3337, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(⫖↰⪸1256≹⇙⪍⫖↰⪸920⨓(⨰⫟⨤⫖↰⪸1799)⫡⨏⫖↰⪸B92≧⫂∧⫖↰⪸2256⋳⪒⫖↰⪸896↬⫖↰⪸974)=NaN","reverse_text":"NaN=⊄⩳↩(⫖↰⪸1256≹⇙⪍⫖↰⪸920⨓(⨰⫟⨤⫖↰⪸1799)⫡⨏⫖↰⪸B92≧⫂∧⫖↰⪸2256⋳⪒⫖↰⪸896↬⫖↰⪸974)","cot":[{"info":"⫖↰⪸1256≹⇙⪍⫖↰⪸920=NaN","layer":3},{"info":"⨰⫟⨤⫖↰⪸1799=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⫖↰⪸B92≧⫂∧⫖↰⪸2256=⫖↰⪸1B21","layer":3},{"info":"⫖↰⪸896↬⫖↰⪸974=NaN","layer":3},{"info":"⫖↰⪸1B21⋳⪒NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"⫓⪴((($3119$∲⫓$1159$)∲⫓$6702$⨐⩸⫘$5313$)+⇶⊼((⊥$7426$)⨎(⫛⫱⨽$3855$)))","expression":"⫓⪴(((⫖↰⪸197B∲⫓⫖↰⪸807)∲⫓⫖↰⪸3A66⨐⩸⫘⫖↰⪸30A9)+⇶⊼((⊥⫖↰⪸436A)⨎(⫛⫱⨽⫖↰⪸2293)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1431,"operation_count":8,"complexity_ratio":178.875,"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":3119,"base":12},"right_expr":{"type":"numeric_atoms","value":1159,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6702,"base":12},"right_expr":{"type":"numeric_atoms","value":5313,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7426,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3855,"base":12}}}}},"used_operators":["eLxqMNBOBk","TpPTUOHfaN","i8ToyICDmI","fu6greOZ01","rJVOvQCfKK","Q3PJZHRvZv","DlLNRPXxWL"],"dependent_operators":["9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","rGHVDoGpnC"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3119","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=1159, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6702","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=6702, right_input=5313, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=7426","layer":4},{"info":"compute unary expreesion, input=7426, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3855","layer":4},{"info":"compute unary expreesion, input=3855, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":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":"⫓⪴(((⫖↰⪸197B∲⫓⫖↰⪸807)∲⫓⫖↰⪸3A66⨐⩸⫘⫖↰⪸30A9)+⇶⊼((⊥⫖↰⪸436A)⨎(⫛⫱⨽⫖↰⪸2293)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫓⪴(((⫖↰⪸197B∲⫓⫖↰⪸807)∲⫓⫖↰⪸3A66⨐⩸⫘⫖↰⪸30A9)+⇶⊼((⊥⫖↰⪸436A)⨎(⫛⫱⨽⫖↰⪸2293)))","cot":[{"info":"⫖↰⪸197B∲⫓⫖↰⪸807=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3A66⨐⩸⫘⫖↰⪸30A9=NaN","layer":3},{"info":"⫖↰⪸0∲⫓NaN=NaN","layer":2},{"info":"⊥⫖↰⪸436A=NaN","layer":3},{"info":"⫛⫱⨽⫖↰⪸2293=⫖↰⪸0","layer":3},{"info":"NaN⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫓⪴⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":557,"expression_no_base_symbol":"($3685$⫸⊐$1231$)⨰($1728$⨁⊸⫻)⩷∴(($5728$⪒$2486$)≭($1743$⋳⪒$1097$))+($6082$≭$1691$↙($5050$*$4656$))≹⇙⪍((-$2992$)⫌⩹⨱)","expression":"(⫖↰⪸2171⫸⊐⫖↰⪸867)⨰(⫖↰⪸1000⨁⊸⫻)⩷∴((⫖↰⪸3394⪒⫖↰⪸1532)≭(⫖↰⪸1013⋳⪒⫖↰⪸775))+(⫖↰⪸362A≭⫖↰⪸B8B↙(⫖↰⪸2B0A*⫖↰⪸2840))≹⇙⪍((-⫖↰⪸1894)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4716,"operation_count":14,"complexity_ratio":336.85714285714283,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3685,"base":12},"right_expr":{"type":"numeric_atoms","value":1231,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1728,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5728,"base":12},"right_expr":{"type":"numeric_atoms","value":2486,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1743,"base":12},"right_expr":{"type":"numeric_atoms","value":1097,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6082,"base":12},"right_expr":{"type":"numeric_atoms","value":1691,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5050,"base":12},"right_expr":{"type":"numeric_atoms","value":4656,"base":12}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2992,"base":12}}}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","eewbuw0ToL","mqXw5SEYmG","glklzrTFfD","rxpJgHHUmx","f6k1SAg4EE","12rbrZMWeM","AHs5Up7iyr","yyfyN0ffXY","9HNa5Wba9A","EBcxylXtPf","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3685","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=1231, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4799","layer":3},{"info":"number node, value=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1728","layer":3},{"info":"compute binary expreesion, left_input=4799, right_input=1728, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3081","layer":2},{"info":"number node, value=5728","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=5728, right_input=2486, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8214","layer":3},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1097, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2102","layer":3},{"info":"compute binary expreesion, left_input=-8214, right_input=2102, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3081, 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=6082","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=6082, right_input=1691, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5050","layer":4},{"info":"number node, value=4656","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=4656, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23512800","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23512800, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2992","layer":4},{"info":"compute unary expreesion, input=2992, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2992","layer":3},{"info":"compute unary expreesion, input=-2992, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-4583","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4583, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2171⫸⊐⫖↰⪸867)⨰(⫖↰⪸1000⨁⊸⫻)⩷∴((⫖↰⪸3394⪒⫖↰⪸1532)≭(⫖↰⪸1013⋳⪒⫖↰⪸775))+(⫖↰⪸362A≭⫖↰⪸B8B↙(⫖↰⪸2B0A*⫖↰⪸2840))≹⇙⪍((-⫖↰⪸1894)⫌⩹⨱)=NaN","reverse_text":"NaN=(⫖↰⪸2171⫸⊐⫖↰⪸867)⨰(⫖↰⪸1000⨁⊸⫻)⩷∴((⫖↰⪸3394⪒⫖↰⪸1532)≭(⫖↰⪸1013⋳⪒⫖↰⪸775))+(⫖↰⪸362A≭⫖↰⪸B8B↙(⫖↰⪸2B0A*⫖↰⪸2840))≹⇙⪍((-⫖↰⪸1894)⫌⩹⨱)","cot":[{"info":"⫖↰⪸2171⫸⊐⫖↰⪸867=⫖↰⪸293B","layer":3},{"info":"⫖↰⪸1000⨁⊸⫻=⫖↰⪸1000","layer":3},{"info":"⫖↰⪸293B⨰⫖↰⪸1000=⫖↰⪸1949","layer":2},{"info":"⫖↰⪸3394⪒⫖↰⪸1532=⫖↰⪸-4906","layer":3},{"info":"⫖↰⪸1013⋳⪒⫖↰⪸775=⫖↰⪸1272","layer":3},{"info":"⫖↰⪸-4906≭⫖↰⪸1272=NaN","layer":2},{"info":"⫖↰⪸1949⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸362A≭⫖↰⪸B8B=NaN","layer":3},{"info":"⫖↰⪸2B0A*⫖↰⪸2840=⫖↰⪸7A5AB40","layer":3},{"info":"NaN↙⫖↰⪸7A5AB40=NaN","layer":2},{"info":"-⫖↰⪸1894=⫖↰⪸-1894","layer":3},{"info":"⫖↰⪸-1894⫌⩹⨱=⫖↰⪸-279B","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸-279B=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"(($5782$⪠⩆⊳)⩷∴($1259$⩷∴$7100$))⊴($1657$⨟⋌⩍$3252$)⊴($1219$⇼⇔∾$5493$)∼(($2152$⪘⫢$1972$⋫)⨓($4157$⪘⫢$3059$⋥≓≎$1620$⨎$4098$))","expression":"((⫖↰⪸341A⪠⩆⊳)⩷∴(⫖↰⪸88B⩷∴⫖↰⪸4138))⊴(⫖↰⪸B61⨟⋌⩍⫖↰⪸1A70)⊴(⫖↰⪸857⇼⇔∾⫖↰⪸3219)∼((⫖↰⪸12B4⪘⫢⫖↰⪸1184⋫)⨓(⫖↰⪸24A5⪘⫢⫖↰⪸192B⋥≓≎⫖↰⪸B30⨎⫖↰⪸2456))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8757,"operation_count":14,"complexity_ratio":625.5,"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":5782,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1259,"base":12},"right_expr":{"type":"numeric_atoms","value":7100,"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":3252,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":5493,"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":1972,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4157,"base":12},"right_expr":{"type":"numeric_atoms","value":3059,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1620,"base":12},"right_expr":{"type":"numeric_atoms","value":4098,"base":12}}}}},"used_operators":["DyGG3AbaNP","Nsiff2A1zJ","9FxExcQeMw","JLbD19bQDL","rGHVDoGpnC","tifHPKVTfV","3ViojmjbAp","JL8yIekQnl","oacrs7FA3X","Qy55tPpLXF","rJVOvQCfKK"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5782","layer":4},{"info":"compute unary expreesion, input=5782, 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=1259","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=7100, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11714","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11714, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=23396","layer":2},{"info":"number node, value=1657","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=3252, 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=1219","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=5493, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4274","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4274, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23396, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2152","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=1972, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4180","layer":3},{"info":"compute unary expreesion, input=4180, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4180","layer":2},{"info":"number node, value=4157","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=4157, right_input=3059, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8190","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=4098, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4098","layer":3},{"info":"compute binary expreesion, left_input=8190, right_input=4098, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=39","layer":2},{"info":"compute binary expreesion, left_input=4180, right_input=39, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸341A⪠⩆⊳)⩷∴(⫖↰⪸88B⩷∴⫖↰⪸4138))⊴(⫖↰⪸B61⨟⋌⩍⫖↰⪸1A70)⊴(⫖↰⪸857⇼⇔∾⫖↰⪸3219)∼((⫖↰⪸12B4⪘⫢⫖↰⪸1184⋫)⨓(⫖↰⪸24A5⪘⫢⫖↰⪸192B⋥≓≎⫖↰⪸B30⨎⫖↰⪸2456))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸341A⪠⩆⊳)⩷∴(⫖↰⪸88B⩷∴⫖↰⪸4138))⊴(⫖↰⪸B61⨟⋌⩍⫖↰⪸1A70)⊴(⫖↰⪸857⇼⇔∾⫖↰⪸3219)∼((⫖↰⪸12B4⪘⫢⫖↰⪸1184⋫)⨓(⫖↰⪸24A5⪘⫢⫖↰⪸192B⋥≓≎⫖↰⪸B30⨎⫖↰⪸2456))","cot":[{"info":"⫖↰⪸341A⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸88B⩷∴⫖↰⪸4138=⫖↰⪸-6942","layer":3},{"info":"⫖↰⪸0⩷∴⫖↰⪸-6942=⫖↰⪸11658","layer":2},{"info":"⫖↰⪸B61⨟⋌⩍⫖↰⪸1A70=NaN","layer":3},{"info":"⫖↰⪸857⇼⇔∾⫖↰⪸3219=⫖↰⪸2582","layer":3},{"info":"NaN⊴⫖↰⪸2582=NaN","layer":2},{"info":"⫖↰⪸11658⊴NaN=NaN","layer":1},{"info":"⫖↰⪸12B4⪘⫢⫖↰⪸1184=⫖↰⪸2504","layer":3},{"info":"⫖↰⪸2504⋫=⫖↰⪸2504","layer":2},{"info":"⫖↰⪸24A5⪘⫢⫖↰⪸192B=⫖↰⪸48A6","layer":3},{"info":"⫖↰⪸B30⨎⫖↰⪸2456=⫖↰⪸2456","layer":3},{"info":"⫖↰⪸48A6⋥≓≎⫖↰⪸2456=⫖↰⪸33","layer":2},{"info":"⫖↰⪸2504⨓⫖↰⪸33=⫖↰⪸-36","layer":1},{"info":"NaN∼⫖↰⪸-36=⫖↰⪸0","layer":0}]}
{"id":559,"expression_no_base_symbol":"(-($8253$⫸⊐$2234$)⋥≓≎$1122$⇷$1483$)-($1470$≧⫂∧$4713$⪐)⪮%⊝($2131$⩷∴$3177$⋳⪒($2078$⨐⩸⫘$3959$))","expression":"(-(⫖↰⪸4939⫸⊐⫖↰⪸1362)⋥≓≎⫖↰⪸796⇷⫖↰⪸A37)-(⫖↰⪸A26≧⫂∧⫖↰⪸2889⪐)⪮%⊝(⫖↰⪸1297⩷∴⫖↰⪸1A09⋳⪒(⫖↰⪸1252⨐⩸⫘⫖↰⪸235B))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15770,"operation_count":11,"complexity_ratio":1433.6363636363637,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8253,"base":12},"right_expr":{"type":"numeric_atoms","value":2234,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1122,"base":12},"right_expr":{"type":"numeric_atoms","value":1483,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1470,"base":12},"right_expr":{"type":"numeric_atoms","value":4713,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2131,"base":12},"right_expr":{"type":"numeric_atoms","value":3177,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2078,"base":12},"right_expr":{"type":"numeric_atoms","value":3959,"base":12}}}}},"used_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","mqXw5SEYmG","mp7IySMOzn","IWmyXbctLI","eH2TOUuTDT","Ph9nP6C5qx","12rbrZMWeM","9FxExcQeMw","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8253","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=8253, right_input=2234, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8811","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1483, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2966","layer":3},{"info":"compute binary expreesion, left_input=8811, right_input=2966, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2846","layer":2},{"info":"compute unary expreesion, input=-2846, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2846","layer":1},{"info":"number node, value=1470","layer":4},{"info":"number node, value=4713","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=4713, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4240","layer":3},{"info":"compute unary expreesion, input=4240, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8480","layer":2},{"info":"number node, value=2131","layer":4},{"info":"number node, value=3177","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=3177, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2124","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=3959, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-2124, 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=8480, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2846, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(-(⫖↰⪸4939⫸⊐⫖↰⪸1362)⋥≓≎⫖↰⪸796⇷⫖↰⪸A37)-(⫖↰⪸A26≧⫂∧⫖↰⪸2889⪐)⪮%⊝(⫖↰⪸1297⩷∴⫖↰⪸1A09⋳⪒(⫖↰⪸1252⨐⩸⫘⫖↰⪸235B))=NaN","reverse_text":"NaN=(-(⫖↰⪸4939⫸⊐⫖↰⪸1362)⋥≓≎⫖↰⪸796⇷⫖↰⪸A37)-(⫖↰⪸A26≧⫂∧⫖↰⪸2889⪐)⪮%⊝(⫖↰⪸1297⩷∴⫖↰⪸1A09⋳⪒(⫖↰⪸1252⨐⩸⫘⫖↰⪸235B))","cot":[{"info":"⫖↰⪸4939⫸⊐⫖↰⪸1362=⫖↰⪸5123","layer":3},{"info":"⫖↰⪸796⇷⫖↰⪸A37=⫖↰⪸1872","layer":3},{"info":"⫖↰⪸5123⋥≓≎⫖↰⪸1872=⫖↰⪸-1792","layer":2},{"info":"-⫖↰⪸-1792=⫖↰⪸1792","layer":1},{"info":"⫖↰⪸A26≧⫂∧⫖↰⪸2889=⫖↰⪸2554","layer":3},{"info":"⫖↰⪸2554⪐=⫖↰⪸4AA8","layer":2},{"info":"⫖↰⪸1297⩷∴⫖↰⪸1A09=⫖↰⪸-1290","layer":3},{"info":"⫖↰⪸1252⨐⩸⫘⫖↰⪸235B=NaN","layer":3},{"info":"⫖↰⪸-1290⋳⪒NaN=NaN","layer":2},{"info":"⫖↰⪸4AA8⪮%⊝NaN=NaN","layer":1},{"info":"⫖↰⪸1792-NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"(⩦⩻⨪(($3793$≋⫹)%$2661$⩷∴$6486$))⨓(≤/$3516$⩚⊴⇥$1503$↺$3564$≧⫂∧$1146$)","expression":"(⩦⩻⨪((⫖↰⪸2241≋⫹)%⫖↰⪸1659⩷∴⫖↰⪸3906))⨓(≤/⫖↰⪸2050⩚⊴⇥⫖↰⪸A53↺⫖↰⪸2090≧⫂∧⫖↰⪸7B6)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":215,"operation_count":9,"complexity_ratio":23.88888888888889,"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":3793,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2661,"base":12},"right_expr":{"type":"numeric_atoms","value":6486,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3516,"base":12},"right_expr":{"type":"numeric_atoms","value":1503,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3564,"base":12},"right_expr":{"type":"numeric_atoms","value":1146,"base":12}}}}},"used_operators":["3ViojmjbAp","2td37pGCOC","k8jYdgA6NY","N41Kp7NANJ","9FxExcQeMw","eLAdDNolq6","7j4O788W3g","NTOWxs364D","Ph9nP6C5qx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-140","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3793","layer":4},{"info":"compute unary expreesion, input=3793, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7586","layer":3},{"info":"number node, value=2661","layer":4},{"info":"number node, value=6486","layer":4},{"info":"compute binary expreesion, left_input=2661, right_input=6486, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7682","layer":3},{"info":"compute binary expreesion, left_input=-7586, right_input=-7682, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-7586","layer":2},{"info":"compute unary expreesion, input=-7586, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-7586","layer":1},{"info":"number node, value=3516","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=1503, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5140","layer":3},{"info":"number node, value=3564","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=1146, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=673","layer":3},{"info":"compute binary expreesion, left_input=-5140, right_input=673, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=673","layer":2},{"info":"compute unary expreesion, input=673, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-189","layer":1},{"info":"compute binary expreesion, left_input=-7586, right_input=-189, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-192","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪((⫖↰⪸2241≋⫹)%⫖↰⪸1659⩷∴⫖↰⪸3906))⨓(≤/⫖↰⪸2050⩚⊴⇥⫖↰⪸A53↺⫖↰⪸2090≧⫂∧⫖↰⪸7B6)=⫖↰⪸-140","reverse_text":"⫖↰⪸-140=(⩦⩻⨪((⫖↰⪸2241≋⫹)%⫖↰⪸1659⩷∴⫖↰⪸3906))⨓(≤/⫖↰⪸2050⩚⊴⇥⫖↰⪸A53↺⫖↰⪸2090≧⫂∧⫖↰⪸7B6)","cot":[{"info":"⫖↰⪸2241≋⫹=⫖↰⪸-4482","layer":3},{"info":"⫖↰⪸1659⩷∴⫖↰⪸3906=⫖↰⪸-4542","layer":3},{"info":"⫖↰⪸-4482%⫖↰⪸-4542=⫖↰⪸-4482","layer":2},{"info":"⩦⩻⨪⫖↰⪸-4482=⫖↰⪸-4482","layer":1},{"info":"⫖↰⪸2050⩚⊴⇥⫖↰⪸A53=⫖↰⪸-2B84","layer":3},{"info":"⫖↰⪸2090≧⫂∧⫖↰⪸7B6=⫖↰⪸481","layer":3},{"info":"⫖↰⪸-2B84↺⫖↰⪸481=⫖↰⪸481","layer":2},{"info":"≤/⫖↰⪸481=⫖↰⪸-139","layer":1},{"info":"⫖↰⪸-4482⨓⫖↰⪸-139=⫖↰⪸-140","layer":0}]}
{"id":561,"expression_no_base_symbol":"↣≠⋷($6870$⫥∨⫟$1221$+$6162$+⇶⊼$2256$)≹⇙⪍((⨈⫕$2938$)∧)","expression":"↣≠⋷(⫖↰⪸3B86⫥∨⫟⫖↰⪸859+⫖↰⪸3696+⇶⊼⫖↰⪸1380)≹⇙⪍((⨈⫕⫖↰⪸184A)∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2437,"operation_count":7,"complexity_ratio":348.14285714285717,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6870,"base":12},"right_expr":{"type":"numeric_atoms","value":1221,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6162,"base":12},"right_expr":{"type":"numeric_atoms","value":2256,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2938,"base":12}}}}},"used_operators":["Asc51vEJeQ","AHs5Up7iyr","W4YGzv6Whe","KYD54nUTWz","TpPTUOHfaN","z63VuFQld9","megm06wKyl"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6870","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=6870, right_input=1221, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6162","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=6162, right_input=2256, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2938","layer":4},{"info":"compute unary expreesion, input=2938, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=42","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=42, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷(⫖↰⪸3B86⫥∨⫟⫖↰⪸859+⫖↰⪸3696+⇶⊼⫖↰⪸1380)≹⇙⪍((⨈⫕⫖↰⪸184A)∧)=NaN","reverse_text":"NaN=↣≠⋷(⫖↰⪸3B86⫥∨⫟⫖↰⪸859+⫖↰⪸3696+⇶⊼⫖↰⪸1380)≹⇙⪍((⨈⫕⫖↰⪸184A)∧)","cot":[{"info":"⫖↰⪸3B86⫥∨⫟⫖↰⪸859=NaN","layer":3},{"info":"⫖↰⪸3696+⇶⊼⫖↰⪸1380=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⨈⫕⫖↰⪸184A=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19∧=⫖↰⪸36","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸36=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":562,"expression_no_base_symbol":"(($2886$⊉≛↸$5833$)≹⇙⪍(≉$2942$)⫡⨏($1678$⋓$2821$)⪢($1052$⪒$1181$))≹⇙⪍(($1902$⪢$5596$)⊴($2278$⊉≛↸$3221$)∑⇟⊟($2134$⨎$3295$⇼⇔∾($7635$⨵⪆$1335$)))","expression":"((⫖↰⪸1806⊉≛↸⫖↰⪸3461)≹⇙⪍(≉⫖↰⪸1852)⫡⨏(⫖↰⪸B7A⋓⫖↰⪸1771)⪢(⫖↰⪸738⪒⫖↰⪸825))≹⇙⪍((⫖↰⪸1126⪢⫖↰⪸32A4)⊴(⫖↰⪸139A⊉≛↸⫖↰⪸1A45)∑⇟⊟(⫖↰⪸129A⨎⫖↰⪸1AA7⇼⇔∾(⫖↰⪸4503⨵⪆⫖↰⪸933)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12427,"operation_count":15,"complexity_ratio":828.4666666666667,"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":2886,"base":12},"right_expr":{"type":"numeric_atoms","value":5833,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2942,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1678,"base":12},"right_expr":{"type":"numeric_atoms","value":2821,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1052,"base":12},"right_expr":{"type":"numeric_atoms","value":1181,"base":12}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1902,"base":12},"right_expr":{"type":"numeric_atoms","value":5596,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2278,"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":2134,"base":12},"right_expr":{"type":"numeric_atoms","value":3295,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7635,"base":12},"right_expr":{"type":"numeric_atoms","value":1335,"base":12}}}}},"used_operators":["AHs5Up7iyr","QMFrweE19q","DZ8iAZOCBD","e1ybzncUwg","dWAJyo7jo9","T2fj7uvVaJ","f6k1SAg4EE","U7g4x0WXJJ","Nsiff2A1zJ","tifHPKVTfV","rJVOvQCfKK","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2886","layer":4},{"info":"number node, value=5833","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=5833, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5772","layer":3},{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3473","layer":3},{"info":"compute binary expreesion, left_input=5772, right_input=3473, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1678","layer":4},{"info":"number node, value=2821","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=2821, 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=1052","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1181, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2233","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2233, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = 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=1902","layer":4},{"info":"number node, value=5596","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=5596, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2278","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=3221, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4556","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4556, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2134","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=3295, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3295","layer":3},{"info":"number node, value=7635","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=7635, right_input=1335, 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=3295, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3135","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3135, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⫖↰⪸1806⊉≛↸⫖↰⪸3461)≹⇙⪍(≉⫖↰⪸1852)⫡⨏(⫖↰⪸B7A⋓⫖↰⪸1771)⪢(⫖↰⪸738⪒⫖↰⪸825))≹⇙⪍((⫖↰⪸1126⪢⫖↰⪸32A4)⊴(⫖↰⪸139A⊉≛↸⫖↰⪸1A45)∑⇟⊟(⫖↰⪸129A⨎⫖↰⪸1AA7⇼⇔∾(⫖↰⪸4503⨵⪆⫖↰⪸933)))=NaN","reverse_text":"NaN=((⫖↰⪸1806⊉≛↸⫖↰⪸3461)≹⇙⪍(≉⫖↰⪸1852)⫡⨏(⫖↰⪸B7A⋓⫖↰⪸1771)⪢(⫖↰⪸738⪒⫖↰⪸825))≹⇙⪍((⫖↰⪸1126⪢⫖↰⪸32A4)⊴(⫖↰⪸139A⊉≛↸⫖↰⪸1A45)∑⇟⊟(⫖↰⪸129A⨎⫖↰⪸1AA7⇼⇔∾(⫖↰⪸4503⨵⪆⫖↰⪸933)))","cot":[{"info":"⫖↰⪸1806⊉≛↸⫖↰⪸3461=⫖↰⪸3410","layer":3},{"info":"≉⫖↰⪸1852=⫖↰⪸2015","layer":3},{"info":"⫖↰⪸3410≹⇙⪍⫖↰⪸2015=NaN","layer":2},{"info":"⫖↰⪸B7A⋓⫖↰⪸1771=⫖↰⪸0","layer":3},{"info":"⫖↰⪸738⪒⫖↰⪸825=⫖↰⪸-1361","layer":3},{"info":"⫖↰⪸0⪢⫖↰⪸-1361=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⫖↰⪸1126⪢⫖↰⪸32A4=NaN","layer":3},{"info":"⫖↰⪸139A⊉≛↸⫖↰⪸1A45=⫖↰⪸2778","layer":3},{"info":"NaN⊴⫖↰⪸2778=NaN","layer":2},{"info":"⫖↰⪸129A⨎⫖↰⪸1AA7=⫖↰⪸1AA7","layer":3},{"info":"⫖↰⪸4503⨵⪆⫖↰⪸933=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1AA7⇼⇔∾⫖↰⪸114=⫖↰⪸-1993","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸-1993=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"($2703$∀⇚≩$2076$⋥≓≎$1335$⋳⪒$8515$∲⫓$8133$⨓$2617$⊉≛↸(≉$2164$))⪒(⨰⫟⨤(($2288$⊉≛↸$9008$)⨓($1450$⪨≂$7050$)))","expression":"(⫖↰⪸1693∀⇚≩⫖↰⪸1250⋥≓≎⫖↰⪸933⋳⪒⫖↰⪸4B17∲⫓⫖↰⪸4859⨓⫖↰⪸1621⊉≛↸(≉⫖↰⪸1304))⪒(⨰⫟⨤((⫖↰⪸13A8⊉≛↸⫖↰⪸5268)⨓(⫖↰⪸A0A⪨≂⫖↰⪸40B6)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":76214,"operation_count":12,"complexity_ratio":6351.166666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2703,"base":12},"right_expr":{"type":"numeric_atoms","value":2076,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":8515,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8133,"base":12},"right_expr":{"type":"numeric_atoms","value":2617,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_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":2288,"base":12},"right_expr":{"type":"numeric_atoms","value":9008,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1450,"base":12},"right_expr":{"type":"numeric_atoms","value":7050,"base":12}}}}},"used_operators":["f6k1SAg4EE","i8ToyICDmI","Qy55tPpLXF","LRNGc0VcxI","12rbrZMWeM","DZ8iAZOCBD","3ViojmjbAp","e1ybzncUwg","Tw270M8GLb","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2703","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=2076, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=8515","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=8515, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6132, 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=8133","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=8133, right_input=2617, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2620","layer":3},{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2695","layer":3},{"info":"compute binary expreesion, left_input=-2620, right_input=2695, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2695","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-2695, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=67","layer":1},{"info":"number node, value=2288","layer":4},{"info":"number node, value=9008","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=9008, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4576","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=7050","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=7050, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11098","layer":3},{"info":"compute binary expreesion, left_input=4576, right_input=-11098, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=11095","layer":2},{"info":"compute unary expreesion, input=11095, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1693∀⇚≩⫖↰⪸1250⋥≓≎⫖↰⪸933⋳⪒⫖↰⪸4B17∲⫓⫖↰⪸4859⨓⫖↰⪸1621⊉≛↸(≉⫖↰⪸1304))⪒(⨰⫟⨤((⫖↰⪸13A8⊉≛↸⫖↰⪸5268)⨓(⫖↰⪸A0A⪨≂⫖↰⪸40B6)))=NaN","reverse_text":"NaN=(⫖↰⪸1693∀⇚≩⫖↰⪸1250⋥≓≎⫖↰⪸933⋳⪒⫖↰⪸4B17∲⫓⫖↰⪸4859⨓⫖↰⪸1621⊉≛↸(≉⫖↰⪸1304))⪒(⨰⫟⨤((⫖↰⪸13A8⊉≛↸⫖↰⪸5268)⨓(⫖↰⪸A0A⪨≂⫖↰⪸40B6)))","cot":[{"info":"⫖↰⪸1693∀⇚≩⫖↰⪸1250=NaN","layer":3},{"info":"⫖↰⪸933⋳⪒⫖↰⪸4B17=⫖↰⪸-3670","layer":3},{"info":"NaN⋥≓≎⫖↰⪸-3670=⫖↰⪸57","layer":2},{"info":"⫖↰⪸4859⨓⫖↰⪸1621=⫖↰⪸-1624","layer":3},{"info":"≉⫖↰⪸1304=⫖↰⪸1687","layer":3},{"info":"⫖↰⪸-1624⊉≛↸⫖↰⪸1687=⫖↰⪸-1687","layer":2},{"info":"⫖↰⪸57∲⫓⫖↰⪸-1687=⫖↰⪸57","layer":1},{"info":"⫖↰⪸13A8⊉≛↸⫖↰⪸5268=⫖↰⪸2794","layer":3},{"info":"⫖↰⪸A0A⪨≂⫖↰⪸40B6=⫖↰⪸-650A","layer":3},{"info":"⫖↰⪸2794⨓⫖↰⪸-650A=⫖↰⪸6507","layer":2},{"info":"⨰⫟⨤⫖↰⪸6507=NaN","layer":1},{"info":"⫖↰⪸57⪒NaN=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"(((⊄⩳↩$5443$)≫≃)∧)⨓($2092$⊴$1484$⨐⩸⫘($1466$+$1521$))⪘⫢($2666$≧⫂∧$3553$⊭↱($1471$⊭↱$1923$))","expression":"(((⊄⩳↩⫖↰⪸3197)≫≃)∧)⨓(⫖↰⪸1264⊴⫖↰⪸A38⨐⩸⫘(⫖↰⪸A22+⫖↰⪸A69))⪘⫢(⫖↰⪸1662≧⫂∧⫖↰⪸2081⊭↱(⫖↰⪸A27⊭↱⫖↰⪸1143))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2366,"operation_count":11,"complexity_ratio":215.0909090909091,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5443,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2092,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1466,"base":12},"right_expr":{"type":"numeric_atoms","value":1521,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2666,"base":12},"right_expr":{"type":"numeric_atoms","value":3553,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1471,"base":12},"right_expr":{"type":"numeric_atoms","value":1923,"base":12}}}}},"used_operators":["3ViojmjbAp","z63VuFQld9","X99M06cbEe","8w2t5hMYqp","oacrs7FA3X","fu6greOZ01","Nsiff2A1zJ","W4YGzv6Whe","COABgblf1C","Ph9nP6C5qx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16329","layer":3},{"info":"compute unary expreesion, input=-16329, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-31257","layer":2},{"info":"compute unary expreesion, input=-31257, 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=2092","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=1484, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1466","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=1521, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2987","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2987, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2666","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=3553, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3080","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1923, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=909","layer":3},{"info":"compute binary expreesion, left_input=3080, right_input=909, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4337","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4337, 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=0, 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":"(((⊄⩳↩⫖↰⪸3197)≫≃)∧)⨓(⫖↰⪸1264⊴⫖↰⪸A38⨐⩸⫘(⫖↰⪸A22+⫖↰⪸A69))⪘⫢(⫖↰⪸1662≧⫂∧⫖↰⪸2081⊭↱(⫖↰⪸A27⊭↱⫖↰⪸1143))=NaN","reverse_text":"NaN=(((⊄⩳↩⫖↰⪸3197)≫≃)∧)⨓(⫖↰⪸1264⊴⫖↰⪸A38⨐⩸⫘(⫖↰⪸A22+⫖↰⪸A69))⪘⫢(⫖↰⪸1662≧⫂∧⫖↰⪸2081⊭↱(⫖↰⪸A27⊭↱⫖↰⪸1143))","cot":[{"info":"⊄⩳↩⫖↰⪸3197=⫖↰⪸-9549","layer":3},{"info":"⫖↰⪸-9549≫≃=⫖↰⪸-16109","layer":2},{"info":"⫖↰⪸-16109∧=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1264⊴⫖↰⪸A38=NaN","layer":3},{"info":"⫖↰⪸A22+⫖↰⪸A69=⫖↰⪸188B","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸188B=NaN","layer":2},{"info":"⫖↰⪸1662≧⫂∧⫖↰⪸2081=⫖↰⪸1948","layer":3},{"info":"⫖↰⪸A27⊭↱⫖↰⪸1143=⫖↰⪸639","layer":3},{"info":"⫖↰⪸1948⊭↱⫖↰⪸639=⫖↰⪸-2615","layer":2},{"info":"NaN⪘⫢⫖↰⪸-2615=NaN","layer":1},{"info":"⫖↰⪸0⨓NaN=NaN","layer":0}]}
{"id":565,"expression_no_base_symbol":"($3509$⊉≛↸$2103$⩨$1493$⪄$3358$⪒(⫓⪴($2441$⋥≓≎$4321$)))∲⫓(↽≂(⊄⩳↩$1145$↬$5917$))","expression":"(⫖↰⪸2045⊉≛↸⫖↰⪸1273⩨⫖↰⪸A45⪄⫖↰⪸1B3A⪒(⫓⪴(⫖↰⪸14B5⋥≓≎⫖↰⪸2601)))∲⫓(↽≂(⊄⩳↩⫖↰⪸7B5↬⫖↰⪸3511))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6382,"operation_count":10,"complexity_ratio":638.2,"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":3509,"base":12},"right_expr":{"type":"numeric_atoms","value":2103,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1493,"base":12},"right_expr":{"type":"numeric_atoms","value":3358,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2441,"base":12},"right_expr":{"type":"numeric_atoms","value":4321,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1145,"base":12},"right_expr":{"type":"numeric_atoms","value":5917,"base":12}}}}},"used_operators":["i8ToyICDmI","f6k1SAg4EE","2DlMacCsIx","DZ8iAZOCBD","SUmda5xLS4","eLxqMNBOBk","Qy55tPpLXF","u6S6b8DprG","8w2t5hMYqp","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3509","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=2103, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7018","layer":3},{"info":"number node, value=1493","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=3358, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-230485","layer":3},{"info":"compute binary expreesion, left_input=7018, right_input=-230485, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=99","layer":2},{"info":"number node, value=2441","layer":4},{"info":"number node, value=4321","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=4321, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6234","layer":3},{"info":"compute unary expreesion, input=6234, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=38862756","layer":2},{"info":"compute binary expreesion, left_input=99, right_input=38862756, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-38862855","layer":1},{"info":"number node, value=1145","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=5917, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-38862855, 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":"(⫖↰⪸2045⊉≛↸⫖↰⪸1273⩨⫖↰⪸A45⪄⫖↰⪸1B3A⪒(⫓⪴(⫖↰⪸14B5⋥≓≎⫖↰⪸2601)))∲⫓(↽≂(⊄⩳↩⫖↰⪸7B5↬⫖↰⪸3511))=NaN","reverse_text":"NaN=(⫖↰⪸2045⊉≛↸⫖↰⪸1273⩨⫖↰⪸A45⪄⫖↰⪸1B3A⪒(⫓⪴(⫖↰⪸14B5⋥≓≎⫖↰⪸2601)))∲⫓(↽≂(⊄⩳↩⫖↰⪸7B5↬⫖↰⪸3511))","cot":[{"info":"⫖↰⪸2045⊉≛↸⫖↰⪸1273=⫖↰⪸408A","layer":3},{"info":"⫖↰⪸A45⪄⫖↰⪸1B3A=⫖↰⪸-B1471","layer":3},{"info":"⫖↰⪸408A⩨⫖↰⪸-B1471=⫖↰⪸83","layer":2},{"info":"⫖↰⪸14B5⋥≓≎⫖↰⪸2601=⫖↰⪸3736","layer":3},{"info":"⫓⪴⫖↰⪸3736=⫖↰⪸11022030","layer":2},{"info":"⫖↰⪸83⪒⫖↰⪸11022030=⫖↰⪸-110220B3","layer":1},{"info":"⫖↰⪸7B5↬⫖↰⪸3511=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⫖↰⪸-110220B3∲⫓NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(∂(∥⊫$1500$∼$1639$))⩚⊴⇥((↣≠⋷$1271$)⩷∴$6488$⪛$5563$⫥∨⫟($3460$⋳⪒$4054$)⋓($1446$⋥≓≎$6210$))","expression":"(∂(∥⊫⫖↰⪸A50∼⫖↰⪸B47))⩚⊴⇥((↣≠⋷⫖↰⪸89B)⩷∴⫖↰⪸3908⪛⫖↰⪸3277⫥∨⫟(⫖↰⪸2004⋳⪒⫖↰⪸241A)⋓(⫖↰⪸A06⋥≓≎⫖↰⪸3716))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":229,"operation_count":11,"complexity_ratio":20.818181818181817,"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":1500,"base":12},"right_expr":{"type":"numeric_atoms","value":1639,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1271,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6488,"base":12},"right_expr":{"type":"numeric_atoms","value":5563,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3460,"base":12},"right_expr":{"type":"numeric_atoms","value":4054,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1446,"base":12},"right_expr":{"type":"numeric_atoms","value":6210,"base":12}}}}},"used_operators":["NTOWxs364D","Uaa54Peajs","P8v4zCKN1o","DyGG3AbaNP","KYD54nUTWz","9FxExcQeMw","Asc51vEJeQ","uFcxV4UQCh","T2fj7uvVaJ","12rbrZMWeM","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=1639, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6488","layer":4},{"info":"number node, value=5563","layer":4},{"info":"compute binary expreesion, left_input=6488, right_input=5563, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=925","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=925, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3460","layer":4},{"info":"number node, value=4054","layer":4},{"info":"compute binary expreesion, left_input=3460, right_input=4054, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2579","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=6210","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=6210, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11007","layer":3},{"info":"compute binary expreesion, left_input=2579, right_input=11007, 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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂(∥⊫⫖↰⪸A50∼⫖↰⪸B47))⩚⊴⇥((↣≠⋷⫖↰⪸89B)⩷∴⫖↰⪸3908⪛⫖↰⪸3277⫥∨⫟(⫖↰⪸2004⋳⪒⫖↰⪸241A)⋓(⫖↰⪸A06⋥≓≎⫖↰⪸3716))=NaN","reverse_text":"NaN=(∂(∥⊫⫖↰⪸A50∼⫖↰⪸B47))⩚⊴⇥((↣≠⋷⫖↰⪸89B)⩷∴⫖↰⪸3908⪛⫖↰⪸3277⫥∨⫟(⫖↰⪸2004⋳⪒⫖↰⪸241A)⋓(⫖↰⪸A06⋥≓≎⫖↰⪸3716))","cot":[{"info":"⫖↰⪸A50∼⫖↰⪸B47=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"↣≠⋷⫖↰⪸89B=NaN","layer":3},{"info":"⫖↰⪸3908⪛⫖↰⪸3277=⫖↰⪸651","layer":3},{"info":"NaN⩷∴⫖↰⪸651=NaN","layer":2},{"info":"⫖↰⪸2004⋳⪒⫖↰⪸241A=⫖↰⪸15AB","layer":3},{"info":"⫖↰⪸A06⋥≓≎⫖↰⪸3716=⫖↰⪸6453","layer":3},{"info":"⫖↰⪸15AB⋓⫖↰⪸6453=⫖↰⪸0","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸0=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"(+⊝⨔$1523$)⨪↰⇹($5900$/$2449$)↺(⇁⨣⪵$3484$⋝⋈⪟$3230$)⨳⩥⨓(($1052$⪒$3418$)⨐⩸⫘(↯⪼$2947$)⪨≂($1092$⪛$7225$⨵⪆$2403$⩨$1390$))","expression":"(+⊝⨔⫖↰⪸A6B)⨪↰⇹(⫖↰⪸34B8/⫖↰⪸1501)↺(⇁⨣⪵⫖↰⪸2024⋝⋈⪟⫖↰⪸1A52)⨳⩥⨓((⫖↰⪸738⪒⫖↰⪸1B8A)⨐⩸⫘(↯⪼⫖↰⪸1857)⪨≂(⫖↰⪸770⪛⫖↰⪸4221⨵⪆⫖↰⪸1483⩨⫖↰⪸97A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2188,"operation_count":14,"complexity_ratio":156.28571428571428,"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":1523,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5900,"base":12},"right_expr":{"type":"numeric_atoms","value":2449,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3484,"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":1052,"base":12},"right_expr":{"type":"numeric_atoms","value":3418,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2947,"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":7225,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2403,"base":12},"right_expr":{"type":"numeric_atoms","value":1390,"base":12}}}}},"used_operators":["nCS4ZIUYfx","7j4O788W3g","tmPS8pqC7x","DhbWaqg5eL","XhwjNDsVaA","inkyxCbjAn","2DDjHMKMc0","sdazOOVcIp","fu6greOZ01","f6k1SAg4EE","8jW3W4yZS5","2DQ55sFlQl","uFcxV4UQCh","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, 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=5900","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=5900, right_input=2449, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2, 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=1522","layer":2},{"info":"number node, value=3484","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=3230, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3484","layer":3},{"info":"compute unary expreesion, input=3484, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1052","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=3418, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4470","layer":3},{"info":"number node, value=2947","layer":4},{"info":"compute unary expreesion, input=2947, 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=-4470, right_input=-21, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=24","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=7225","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=7225, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1092","layer":3},{"info":"number node, value=2403","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=1390, 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=1092, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=24, right_input=160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-170","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-170, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸A6B)⨪↰⇹(⫖↰⪸34B8/⫖↰⪸1501)↺(⇁⨣⪵⫖↰⪸2024⋝⋈⪟⫖↰⪸1A52)⨳⩥⨓((⫖↰⪸738⪒⫖↰⪸1B8A)⨐⩸⫘(↯⪼⫖↰⪸1857)⪨≂(⫖↰⪸770⪛⫖↰⪸4221⨵⪆⫖↰⪸1483⩨⫖↰⪸97A))=NaN","reverse_text":"NaN=(+⊝⨔⫖↰⪸A6B)⨪↰⇹(⫖↰⪸34B8/⫖↰⪸1501)↺(⇁⨣⪵⫖↰⪸2024⋝⋈⪟⫖↰⪸1A52)⨳⩥⨓((⫖↰⪸738⪒⫖↰⪸1B8A)⨐⩸⫘(↯⪼⫖↰⪸1857)⪨≂(⫖↰⪸770⪛⫖↰⪸4221⨵⪆⫖↰⪸1483⩨⫖↰⪸97A))","cot":[{"info":"+⊝⨔⫖↰⪸A6B=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸34B8/⫖↰⪸1501=⫖↰⪸2","layer":3},{"info":"⫖↰⪸A6A⨪↰⇹⫖↰⪸2=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸2024⋝⋈⪟⫖↰⪸1A52=⫖↰⪸2024","layer":3},{"info":"⇁⨣⪵⫖↰⪸2024=NaN","layer":2},{"info":"⫖↰⪸A6A↺NaN=NaN","layer":1},{"info":"⫖↰⪸738⪒⫖↰⪸1B8A=⫖↰⪸-2706","layer":3},{"info":"↯⪼⫖↰⪸1857=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-2706⨐⩸⫘⫖↰⪸-19=⫖↰⪸20","layer":2},{"info":"⫖↰⪸770⪛⫖↰⪸4221=⫖↰⪸770","layer":3},{"info":"⫖↰⪸1483⩨⫖↰⪸97A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸770⨵⪆⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸20⪨≂⫖↰⪸114=⫖↰⪸-122","layer":1},{"info":"NaN⨳⩥⨓⫖↰⪸-122=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"↥(($4015$⪘⫢$3619$%$4418$%$2103$)⊭↱(↽≂($3665$%$3568$)))","expression":"↥((⫖↰⪸23A7⪘⫢⫖↰⪸2117%⫖↰⪸2682%⫖↰⪸1273)⊭↱(↽≂(⫖↰⪸2155%⫖↰⪸2094)))","highest_n_order":2,"priority_hierarchical_complexity":4,"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":4015,"base":12},"right_expr":{"type":"numeric_atoms","value":3619,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4418,"base":12},"right_expr":{"type":"numeric_atoms","value":2103,"base":12}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3665,"base":12},"right_expr":{"type":"numeric_atoms","value":3568,"base":12}}}}},"used_operators":["A8NUZmVepG","COABgblf1C","k8jYdgA6NY","oacrs7FA3X","u6S6b8DprG"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4015","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=3619, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7906","layer":3},{"info":"number node, value=4418","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=2103, op_id = k8jYdgA6NY binary_op_definition= 'None', output=212","layer":3},{"info":"compute binary expreesion, left_input=7906, right_input=212, op_id = k8jYdgA6NY binary_op_definition= 'None', output=62","layer":2},{"info":"number node, value=3665","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=3568, op_id = k8jYdgA6NY binary_op_definition= 'None', output=97","layer":3},{"info":"compute unary expreesion, input=97, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-194","layer":2},{"info":"compute binary expreesion, left_input=62, right_input=-194, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-507","layer":1},{"info":"compute unary expreesion, input=-507, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":0}],"base":12,"result_base":12,"text":"↥((⫖↰⪸23A7⪘⫢⫖↰⪸2117%⫖↰⪸2682%⫖↰⪸1273)⊭↱(↽≂(⫖↰⪸2155%⫖↰⪸2094)))=⫖↰⪸3","reverse_text":"⫖↰⪸3=↥((⫖↰⪸23A7⪘⫢⫖↰⪸2117%⫖↰⪸2682%⫖↰⪸1273)⊭↱(↽≂(⫖↰⪸2155%⫖↰⪸2094)))","cot":[{"info":"⫖↰⪸23A7⪘⫢⫖↰⪸2117=⫖↰⪸46AA","layer":3},{"info":"⫖↰⪸2682%⫖↰⪸1273=⫖↰⪸158","layer":3},{"info":"⫖↰⪸46AA%⫖↰⪸158=⫖↰⪸52","layer":2},{"info":"⫖↰⪸2155%⫖↰⪸2094=⫖↰⪸81","layer":3},{"info":"↽≂⫖↰⪸81=⫖↰⪸-142","layer":2},{"info":"⫖↰⪸52⊭↱⫖↰⪸-142=⫖↰⪸-363","layer":1},{"info":"↥⫖↰⪸-363=⫖↰⪸3","layer":0}]}
{"id":569,"expression_no_base_symbol":"≤/(($5142$⨵⪆$6115$)⇼⇔∾($1444$⊭↱$2846$))⇷($1188$⫥∨⫟$5023$)∼(-$3434$)","expression":"≤/((⫖↰⪸2B86⨵⪆⫖↰⪸3657)⇼⇔∾(⫖↰⪸A04⊭↱⫖↰⪸1792))⇷(⫖↰⪸830⫥∨⫟⫖↰⪸2AA7)∼(-⫖↰⪸1BA2)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37260,"operation_count":8,"complexity_ratio":4657.5,"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":5142,"base":12},"right_expr":{"type":"numeric_atoms","value":6115,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1444,"base":12},"right_expr":{"type":"numeric_atoms","value":2846,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1188,"base":12},"right_expr":{"type":"numeric_atoms","value":5023,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3434,"base":12}}}}},"used_operators":["eLAdDNolq6","mp7IySMOzn","tifHPKVTfV","2DQ55sFlQl","COABgblf1C","DyGG3AbaNP","KYD54nUTWz","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5142","layer":4},{"info":"number node, value=6115","layer":4},{"info":"compute binary expreesion, left_input=5142, right_input=6115, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1444","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=2846, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2809","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2809, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2649","layer":2},{"info":"number node, value=1188","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=5023, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3434","layer":4},{"info":"compute unary expreesion, input=3434, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3434, 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=2649, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/((⫖↰⪸2B86⨵⪆⫖↰⪸3657)⇼⇔∾(⫖↰⪸A04⊭↱⫖↰⪸1792))⇷(⫖↰⪸830⫥∨⫟⫖↰⪸2AA7)∼(-⫖↰⪸1BA2)=NaN","reverse_text":"NaN=≤/((⫖↰⪸2B86⨵⪆⫖↰⪸3657)⇼⇔∾(⫖↰⪸A04⊭↱⫖↰⪸1792))⇷(⫖↰⪸830⫥∨⫟⫖↰⪸2AA7)∼(-⫖↰⪸1BA2)","cot":[{"info":"⫖↰⪸2B86⨵⪆⫖↰⪸3657=⫖↰⪸114","layer":3},{"info":"⫖↰⪸A04⊭↱⫖↰⪸1792=⫖↰⪸1761","layer":3},{"info":"⫖↰⪸114⇼⇔∾⫖↰⪸1761=⫖↰⪸1649","layer":2},{"info":"⫖↰⪸830⫥∨⫟⫖↰⪸2AA7=NaN","layer":3},{"info":"-⫖↰⪸1BA2=⫖↰⪸-1BA2","layer":3},{"info":"NaN∼⫖↰⪸-1BA2=NaN","layer":2},{"info":"⫖↰⪸1649⇷NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"(↯⪼(($1462$⫌⩹⨱)∑⇟⊟($1803$⩤)))+⇶⊼((⨵≀≌$1051$)↺$1038$≹⇙⪍$5923$)⨰(($5618$⪒$9280$)⨳⩥⨓(⪝⪂⫅$7997$))","expression":"(↯⪼((⫖↰⪸A1A⫌⩹⨱)∑⇟⊟(⫖↰⪸1063⩤)))+⇶⊼((⨵≀≌⫖↰⪸737)↺⫖↰⪸726≹⇙⪍⫖↰⪸3517)⨰((⫖↰⪸3302⪒⫖↰⪸5454)⨳⩥⨓(⪝⪂⫅⫖↰⪸4765))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":209,"operation_count":12,"complexity_ratio":17.416666666666668,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1462,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1803,"base":12}}}},"right_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":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1038,"base":12},"right_expr":{"type":"numeric_atoms","value":5923,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5618,"base":12},"right_expr":{"type":"numeric_atoms","value":9280,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7997,"base":12}}}}},"used_operators":["TpPTUOHfaN","8jW3W4yZS5","U7g4x0WXJJ","EBcxylXtPf","Z2TMIBDE3Q","eewbuw0ToL","7j4O788W3g","srAu1WTS94","AHs5Up7iyr","nCS4ZIUYfx","f6k1SAg4EE","XTarYq4gQB"],"dependent_operators":["AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4325","layer":3},{"info":"number node, value=1803","layer":4},{"info":"compute unary expreesion, input=1803, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1803","layer":3},{"info":"compute binary expreesion, left_input=4325, right_input=-1803, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3153","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=5923","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=5923, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-3153, 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=5618","layer":4},{"info":"number node, value=9280","layer":4},{"info":"compute binary expreesion, left_input=5618, right_input=9280, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14898","layer":3},{"info":"number node, value=7997","layer":4},{"info":"compute unary expreesion, input=7997, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1175559","layer":3},{"info":"compute binary expreesion, left_input=-14898, right_input=-1175559, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1160661","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1160661, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(↯⪼((⫖↰⪸A1A⫌⩹⨱)∑⇟⊟(⫖↰⪸1063⩤)))+⇶⊼((⨵≀≌⫖↰⪸737)↺⫖↰⪸726≹⇙⪍⫖↰⪸3517)⨰((⫖↰⪸3302⪒⫖↰⪸5454)⨳⩥⨓(⪝⪂⫅⫖↰⪸4765))=NaN","reverse_text":"NaN=(↯⪼((⫖↰⪸A1A⫌⩹⨱)∑⇟⊟(⫖↰⪸1063⩤)))+⇶⊼((⨵≀≌⫖↰⪸737)↺⫖↰⪸726≹⇙⪍⫖↰⪸3517)⨰((⫖↰⪸3302⪒⫖↰⪸5454)⨳⩥⨓(⪝⪂⫅⫖↰⪸4765))","cot":[{"info":"⫖↰⪸A1A⫌⩹⨱=⫖↰⪸2605","layer":3},{"info":"⫖↰⪸1063⩤=⫖↰⪸-1063","layer":3},{"info":"⫖↰⪸2605∑⇟⊟⫖↰⪸-1063=NaN","layer":2},{"info":"↯⪼NaN=⫖↰⪸-19","layer":1},{"info":"⨵≀≌⫖↰⪸737=⫖↰⪸-19A9","layer":3},{"info":"⫖↰⪸726≹⇙⪍⫖↰⪸3517=NaN","layer":3},{"info":"⫖↰⪸-19A9↺NaN=NaN","layer":2},{"info":"⫖↰⪸3302⪒⫖↰⪸5454=⫖↰⪸-8756","layer":3},{"info":"⪝⪂⫅⫖↰⪸4765=⫖↰⪸-488373","layer":3},{"info":"⫖↰⪸-8756⨳⩥⨓⫖↰⪸-488373=⫖↰⪸-47B819","layer":2},{"info":"NaN⨰⫖↰⪸-47B819=NaN","layer":1},{"info":"⫖↰⪸-19+⇶⊼NaN=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"(≦∁($1430$+$6032$)⨓($1024$⩚⊴⇥$4051$))⫡⨏(($2715$*$1887$)∀⇚≩($1676$↺$4444$))⨪↰⇹(($1032$⋥≓≎$4035$)⋥≓≎$5312$⨽$4983$)","expression":"(≦∁(⫖↰⪸9B2+⫖↰⪸35A8)⨓(⫖↰⪸714⩚⊴⇥⫖↰⪸2417))⫡⨏((⫖↰⪸16A3*⫖↰⪸1113)∀⇚≩(⫖↰⪸B78↺⫖↰⪸26A4))⨪↰⇹((⫖↰⪸720⋥≓≎⫖↰⪸2403)⋥≓≎⫖↰⪸30A8⨽⫖↰⪸2A73)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12434,"operation_count":12,"complexity_ratio":1036.1666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1430,"base":12},"right_expr":{"type":"numeric_atoms","value":6032,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":4051,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2715,"base":12},"right_expr":{"type":"numeric_atoms","value":1887,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1676,"base":12},"right_expr":{"type":"numeric_atoms","value":4444,"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":4035,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5312,"base":12},"right_expr":{"type":"numeric_atoms","value":4983,"base":12}}}}},"used_operators":["QMFrweE19q","9ICcGScMcE","3ViojmjbAp","W4YGzv6Whe","NTOWxs364D","tmPS8pqC7x","LRNGc0VcxI","9HNa5Wba9A","7j4O788W3g","Qy55tPpLXF","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=6032, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7462","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=4051, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5196","layer":3},{"info":"compute binary expreesion, left_input=7462, right_input=-5196, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=5193","layer":2},{"info":"compute unary expreesion, input=5193, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5193","layer":1},{"info":"number node, value=2715","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=1887, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5123205","layer":3},{"info":"number node, value=1676","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=4444, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4444","layer":3},{"info":"compute binary expreesion, left_input=5123205, right_input=4444, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1032","layer":4},{"info":"number node, value=4035","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=4035, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7071","layer":3},{"info":"number node, value=5312","layer":4},{"info":"number node, value=4983","layer":4},{"info":"compute binary expreesion, left_input=5312, right_input=4983, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-84665667","layer":3},{"info":"compute binary expreesion, left_input=7071, right_input=-84665667, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-169338372","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-169338372, 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=5193, 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":"(≦∁(⫖↰⪸9B2+⫖↰⪸35A8)⨓(⫖↰⪸714⩚⊴⇥⫖↰⪸2417))⫡⨏((⫖↰⪸16A3*⫖↰⪸1113)∀⇚≩(⫖↰⪸B78↺⫖↰⪸26A4))⨪↰⇹((⫖↰⪸720⋥≓≎⫖↰⪸2403)⋥≓≎⫖↰⪸30A8⨽⫖↰⪸2A73)=NaN","reverse_text":"NaN=(≦∁(⫖↰⪸9B2+⫖↰⪸35A8)⨓(⫖↰⪸714⩚⊴⇥⫖↰⪸2417))⫡⨏((⫖↰⪸16A3*⫖↰⪸1113)∀⇚≩(⫖↰⪸B78↺⫖↰⪸26A4))⨪↰⇹((⫖↰⪸720⋥≓≎⫖↰⪸2403)⋥≓≎⫖↰⪸30A8⨽⫖↰⪸2A73)","cot":[{"info":"⫖↰⪸9B2+⫖↰⪸35A8=⫖↰⪸439A","layer":3},{"info":"⫖↰⪸714⩚⊴⇥⫖↰⪸2417=⫖↰⪸-3010","layer":3},{"info":"⫖↰⪸439A⨓⫖↰⪸-3010=⫖↰⪸3009","layer":2},{"info":"≦∁⫖↰⪸3009=⫖↰⪸3009","layer":1},{"info":"⫖↰⪸16A3*⫖↰⪸1113=⫖↰⪸1870999","layer":3},{"info":"⫖↰⪸B78↺⫖↰⪸26A4=⫖↰⪸26A4","layer":3},{"info":"⫖↰⪸1870999∀⇚≩⫖↰⪸26A4=NaN","layer":2},{"info":"⫖↰⪸720⋥≓≎⫖↰⪸2403=⫖↰⪸4113","layer":3},{"info":"⫖↰⪸30A8⨽⫖↰⪸2A73=⫖↰⪸-24430403","layer":3},{"info":"⫖↰⪸4113⋥≓≎⫖↰⪸-24430403=⫖↰⪸-488648B0","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸-488648B0=NaN","layer":1},{"info":"⫖↰⪸3009⫡⨏NaN=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"($2195$⩷∴$6983$⋓($7956$≭$4692$)⨁⊸⫻)↪⪝","expression":"(⫖↰⪸132B⩷∴⫖↰⪸405B⋓(⫖↰⪸4730≭⫖↰⪸2870)⨁⊸⫻)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2195,"base":12},"right_expr":{"type":"numeric_atoms","value":6983,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7956,"base":12},"right_expr":{"type":"numeric_atoms","value":4692,"base":12}}}}},"used_operators":["l07mrZUIn9","glklzrTFfD","T2fj7uvVaJ","9FxExcQeMw","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2195","layer":4},{"info":"number node, value=6983","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=6983, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9608","layer":3},{"info":"number node, value=7956","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=7956, right_input=4692, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-9608, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', 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":"(⫖↰⪸132B⩷∴⫖↰⪸405B⋓(⫖↰⪸4730≭⫖↰⪸2870)⨁⊸⫻)↪⪝=NaN","reverse_text":"NaN=(⫖↰⪸132B⩷∴⫖↰⪸405B⋓(⫖↰⪸4730≭⫖↰⪸2870)⨁⊸⫻)↪⪝","cot":[{"info":"⫖↰⪸132B⩷∴⫖↰⪸405B=⫖↰⪸-5688","layer":3},{"info":"⫖↰⪸4730≭⫖↰⪸2870=NaN","layer":3},{"info":"⫖↰⪸-5688⋓NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"(($7068$⩚⊴⇥$1057$)⪛($4854$⨸⪁$1252$))⊴($1468$⋝⋈⪟$2079$⋫)≧⫂∧((⨰⫟⨤(↩$6910$))⋓(≉$9297$⇷$1574$))","expression":"((⫖↰⪸4110⩚⊴⇥⫖↰⪸741)⪛(⫖↰⪸2986⨸⪁⫖↰⪸884))⊴(⫖↰⪸A24⋝⋈⪟⫖↰⪸1253⋫)≧⫂∧((⨰⫟⨤(↩⫖↰⪸3BBA))⋓(≉⫖↰⪸5469⇷⫖↰⪸AB2))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":344814,"operation_count":12,"complexity_ratio":28734.5,"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":7068,"base":12},"right_expr":{"type":"numeric_atoms","value":1057,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4854,"base":12},"right_expr":{"type":"numeric_atoms","value":1252,"base":12}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1468,"base":12},"right_expr":{"type":"numeric_atoms","value":2079,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6910,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":9297,"base":12},"right_expr":{"type":"numeric_atoms","value":1574,"base":12}}}}},"used_operators":["Ph9nP6C5qx","Nsiff2A1zJ","uFcxV4UQCh","NTOWxs364D","g55IO6H4Gj","JL8yIekQnl","2DDjHMKMc0","T2fj7uvVaJ","Tw270M8GLb","jLgFTUHLKL","e1ybzncUwg","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7068","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=7068, right_input=1057, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8246","layer":3},{"info":"number node, value=4854","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=4854, right_input=1252, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12212","layer":3},{"info":"compute binary expreesion, left_input=-8246, right_input=12212, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3966","layer":2},{"info":"number node, value=1468","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=2079, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1468","layer":3},{"info":"compute unary expreesion, input=1468, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1468","layer":2},{"info":"compute binary expreesion, left_input=3966, right_input=1468, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6910","layer":4},{"info":"compute unary expreesion, input=6910, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-52500","layer":3},{"info":"compute unary expreesion, input=-52500, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=9297","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=9297, right_input=1574, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3148","layer":3},{"info":"compute unary expreesion, input=3148, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3679","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3679, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4110⩚⊴⇥⫖↰⪸741)⪛(⫖↰⪸2986⨸⪁⫖↰⪸884))⊴(⫖↰⪸A24⋝⋈⪟⫖↰⪸1253⋫)≧⫂∧((⨰⫟⨤(↩⫖↰⪸3BBA))⋓(≉⫖↰⪸5469⇷⫖↰⪸AB2))=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=((⫖↰⪸4110⩚⊴⇥⫖↰⪸741)⪛(⫖↰⪸2986⨸⪁⫖↰⪸884))⊴(⫖↰⪸A24⋝⋈⪟⫖↰⪸1253⋫)≧⫂∧((⨰⫟⨤(↩⫖↰⪸3BBA))⋓(≉⫖↰⪸5469⇷⫖↰⪸AB2))","cot":[{"info":"⫖↰⪸4110⩚⊴⇥⫖↰⪸741=⫖↰⪸-4932","layer":3},{"info":"⫖↰⪸2986⨸⪁⫖↰⪸884=⫖↰⪸7098","layer":3},{"info":"⫖↰⪸-4932⪛⫖↰⪸7098=⫖↰⪸2366","layer":2},{"info":"⫖↰⪸A24⋝⋈⪟⫖↰⪸1253=⫖↰⪸A24","layer":3},{"info":"⫖↰⪸A24⋫=⫖↰⪸A24","layer":2},{"info":"⫖↰⪸2366⊴⫖↰⪸A24=NaN","layer":1},{"info":"↩⫖↰⪸3BBA=⫖↰⪸-26470","layer":3},{"info":"⨰⫟⨤⫖↰⪸-26470=NaN","layer":2},{"info":"⫖↰⪸5469⇷⫖↰⪸AB2=⫖↰⪸19A4","layer":3},{"info":"≉⫖↰⪸19A4=⫖↰⪸2167","layer":2},{"info":"NaN⋓⫖↰⪸2167=⫖↰⪸0","layer":1},{"info":"NaN≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":0}]}
{"id":574,"expression_no_base_symbol":"⊙↵-(($4364$⨵⪆$5855$)⊴(+⊝⨔$2678$)≭($4685$⪮%⊝$1101$↙(-$4542$)))","expression":"⊙↵-((⫖↰⪸2638⨵⪆⫖↰⪸347B)⊴(+⊝⨔⫖↰⪸1672)≭(⫖↰⪸2865⪮%⊝⫖↰⪸779↙(-⫖↰⪸2766)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6152,"operation_count":8,"complexity_ratio":769.0,"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":4364,"base":12},"right_expr":{"type":"numeric_atoms","value":5855,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2678,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4685,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4542,"base":12}}}}},"used_operators":["oWn0xqSxBt","rxpJgHHUmx","Nsiff2A1zJ","2DQ55sFlQl","DhbWaqg5eL","yyfyN0ffXY","IWmyXbctLI","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4364","layer":4},{"info":"number node, value=5855","layer":4},{"info":"compute binary expreesion, left_input=4364, right_input=5855, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, 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=160, right_input=1522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4685","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=1101, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9686","layer":3},{"info":"number node, value=4542","layer":4},{"info":"compute unary expreesion, input=4542, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4542","layer":3},{"info":"compute binary expreesion, left_input=9686, right_input=-4542, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=13626","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13626, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊙↵-((⫖↰⪸2638⨵⪆⫖↰⪸347B)⊴(+⊝⨔⫖↰⪸1672)≭(⫖↰⪸2865⪮%⊝⫖↰⪸779↙(-⫖↰⪸2766)))=NaN","reverse_text":"NaN=⊙↵-((⫖↰⪸2638⨵⪆⫖↰⪸347B)⊴(+⊝⨔⫖↰⪸1672)≭(⫖↰⪸2865⪮%⊝⫖↰⪸779↙(-⫖↰⪸2766)))","cot":[{"info":"⫖↰⪸2638⨵⪆⫖↰⪸347B=⫖↰⪸114","layer":3},{"info":"+⊝⨔⫖↰⪸1672=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸114⊴⫖↰⪸A6A=NaN","layer":2},{"info":"⫖↰⪸2865⪮%⊝⫖↰⪸779=⫖↰⪸5732","layer":3},{"info":"-⫖↰⪸2766=⫖↰⪸-2766","layer":3},{"info":"⫖↰⪸5732↙⫖↰⪸-2766=⫖↰⪸7A76","layer":2},{"info":"NaN≭⫖↰⪸7A76=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"⊥(($2748$⨎$1143$⊉≛↸$3306$⨓$2488$)≧⫂∧(⨑⩽⪐(∂$7605$)))","expression":"⊥((⫖↰⪸1710⨎⫖↰⪸7B3⊉≛↸⫖↰⪸1AB6⨓⫖↰⪸1534)≧⫂∧(⨑⩽⪐(∂⫖↰⪸4499)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2507,"operation_count":7,"complexity_ratio":358.14285714285717,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2748,"base":12},"right_expr":{"type":"numeric_atoms","value":1143,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3306,"base":12},"right_expr":{"type":"numeric_atoms","value":2488,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7605,"base":12}}}}},"used_operators":["Q3PJZHRvZv","Ph9nP6C5qx","DZ8iAZOCBD","rJVOvQCfKK","3ViojmjbAp","AF7qkfDlqP","Uaa54Peajs"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2748","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=1143, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1143","layer":3},{"info":"number node, value=3306","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=3306, right_input=2488, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2491","layer":3},{"info":"compute binary expreesion, left_input=1143, right_input=-2491, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2286","layer":2},{"info":"number node, value=7605","layer":4},{"info":"compute unary expreesion, input=7605, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2286, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥((⫖↰⪸1710⨎⫖↰⪸7B3⊉≛↸⫖↰⪸1AB6⨓⫖↰⪸1534)≧⫂∧(⨑⩽⪐(∂⫖↰⪸4499)))=NaN","reverse_text":"NaN=⊥((⫖↰⪸1710⨎⫖↰⪸7B3⊉≛↸⫖↰⪸1AB6⨓⫖↰⪸1534)≧⫂∧(⨑⩽⪐(∂⫖↰⪸4499)))","cot":[{"info":"⫖↰⪸1710⨎⫖↰⪸7B3=⫖↰⪸7B3","layer":3},{"info":"⫖↰⪸1AB6⨓⫖↰⪸1534=⫖↰⪸-1537","layer":3},{"info":"⫖↰⪸7B3⊉≛↸⫖↰⪸-1537=⫖↰⪸13A6","layer":2},{"info":"∂⫖↰⪸4499=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫖↰⪸13A6≧⫂∧NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"((∂$1293$)∲⫓$3036$⩨$3361$)⨳⩥⨓$1448$⋳⪒$1614$⋥≓≎($6475$∸)⪐","expression":"((∂⫖↰⪸8B9)∲⫓⫖↰⪸1910⩨⫖↰⪸1B41)⨳⩥⨓⫖↰⪸A08⋳⪒⫖↰⪸B26⋥≓≎(⫖↰⪸38B7∸)⪐","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":199,"operation_count":8,"complexity_ratio":24.875,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1293,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3036,"base":12},"right_expr":{"type":"numeric_atoms","value":3361,"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":1614,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6475,"base":12}}}}},"used_operators":["eH2TOUuTDT","nCS4ZIUYfx","i8ToyICDmI","Uaa54Peajs","2DlMacCsIx","Qy55tPpLXF","12rbrZMWeM","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, 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=3036","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=3361, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1448","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1614, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=995","layer":3},{"info":"number node, value=6475","layer":4},{"info":"compute unary expreesion, input=6475, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=995, right_input=177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-608","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-608, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∂⫖↰⪸8B9)∲⫓⫖↰⪸1910⩨⫖↰⪸1B41)⨳⩥⨓⫖↰⪸A08⋳⪒⫖↰⪸B26⋥≓≎(⫖↰⪸38B7∸)⪐=NaN","reverse_text":"NaN=((∂⫖↰⪸8B9)∲⫓⫖↰⪸1910⩨⫖↰⪸1B41)⨳⩥⨓⫖↰⪸A08⋳⪒⫖↰⪸B26⋥≓≎(⫖↰⪸38B7∸)⪐","cot":[{"info":"∂⫖↰⪸8B9=NaN","layer":3},{"info":"⫖↰⪸1910⩨⫖↰⪸1B41=⫖↰⪸-3","layer":3},{"info":"NaN∲⫓⫖↰⪸-3=NaN","layer":2},{"info":"⫖↰⪸A08⋳⪒⫖↰⪸B26=⫖↰⪸6AB","layer":3},{"info":"⫖↰⪸38B7∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸6AB⋥≓≎⫖↰⪸129=⫖↰⪸-428","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-428=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"((↣≠⋷$3622$)≹⇙⪍($1598$+$1256$)⨳⩥⨓($2821$⊭↱$4108$⊭↱($2369$-$1754$)))⨐⩸⫘(($1648$⊉≛↸$1061$)⊴($1390$/$3352$)⨵⪆(⨰⫟⨤$2745$)*$2971$⪄$1925$)","expression":"((↣≠⋷⫖↰⪸211A)≹⇙⪍(⫖↰⪸B12+⫖↰⪸888)⨳⩥⨓(⫖↰⪸1771⊭↱⫖↰⪸2464⊭↱(⫖↰⪸1455-⫖↰⪸1022)))⨐⩸⫘((⫖↰⪸B54⊉≛↸⫖↰⪸745)⊴(⫖↰⪸97A/⫖↰⪸1B34)⨵⪆(⨰⫟⨤⫖↰⪸1709)*⫖↰⪸1877⪄⫖↰⪸1145)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36828,"operation_count":15,"complexity_ratio":2455.2,"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":3622,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1598,"base":12},"right_expr":{"type":"numeric_atoms","value":1256,"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":4108,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2369,"base":12},"right_expr":{"type":"numeric_atoms","value":1754,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1648,"base":12},"right_expr":{"type":"numeric_atoms","value":1061,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1390,"base":12},"right_expr":{"type":"numeric_atoms","value":3352,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2745,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2971,"base":12},"right_expr":{"type":"numeric_atoms","value":1925,"base":12}}}}},"used_operators":["fu6greOZ01","nCS4ZIUYfx","AHs5Up7iyr","Asc51vEJeQ","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","2DQ55sFlQl","Nsiff2A1zJ","DZ8iAZOCBD","XhwjNDsVaA","9HNa5Wba9A","Tw270M8GLb","SUmda5xLS4"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-117","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3622","layer":4},{"info":"compute unary expreesion, input=3622, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1256, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2854","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2854, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2821","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=4108, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2579","layer":3},{"info":"number node, value=2369","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=1754, op_id = rysDP5nf3Z binary_op_definition= 'None', output=615","layer":3},{"info":"compute binary expreesion, left_input=2579, right_input=615, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3923","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3923, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1648","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=1061, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3296","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=3352, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=3296, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2745","layer":4},{"info":"compute unary expreesion, input=2745, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=1925, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-443497","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-443497, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-79, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":0}],"base":12,"result_base":12,"text":"((↣≠⋷⫖↰⪸211A)≹⇙⪍(⫖↰⪸B12+⫖↰⪸888)⨳⩥⨓(⫖↰⪸1771⊭↱⫖↰⪸2464⊭↱(⫖↰⪸1455-⫖↰⪸1022)))⨐⩸⫘((⫖↰⪸B54⊉≛↸⫖↰⪸745)⊴(⫖↰⪸97A/⫖↰⪸1B34)⨵⪆(⨰⫟⨤⫖↰⪸1709)*⫖↰⪸1877⪄⫖↰⪸1145)=⫖↰⪸-117","reverse_text":"⫖↰⪸-117=((↣≠⋷⫖↰⪸211A)≹⇙⪍(⫖↰⪸B12+⫖↰⪸888)⨳⩥⨓(⫖↰⪸1771⊭↱⫖↰⪸2464⊭↱(⫖↰⪸1455-⫖↰⪸1022)))⨐⩸⫘((⫖↰⪸B54⊉≛↸⫖↰⪸745)⊴(⫖↰⪸97A/⫖↰⪸1B34)⨵⪆(⨰⫟⨤⫖↰⪸1709)*⫖↰⪸1877⪄⫖↰⪸1145)","cot":[{"info":"↣≠⋷⫖↰⪸211A=NaN","layer":3},{"info":"⫖↰⪸B12+⫖↰⪸888=⫖↰⪸179A","layer":3},{"info":"NaN≹⇙⪍⫖↰⪸179A=NaN","layer":2},{"info":"⫖↰⪸1771⊭↱⫖↰⪸2464=⫖↰⪸15AB","layer":3},{"info":"⫖↰⪸1455-⫖↰⪸1022=⫖↰⪸433","layer":3},{"info":"⫖↰⪸15AB⊭↱⫖↰⪸433=⫖↰⪸-232B","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-232B=NaN","layer":1},{"info":"⫖↰⪸B54⊉≛↸⫖↰⪸745=⫖↰⪸1AA8","layer":3},{"info":"⫖↰⪸97A/⫖↰⪸1B34=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1AA8⊴⫖↰⪸0=⫖↰⪸-67","layer":2},{"info":"⨰⫟⨤⫖↰⪸1709=NaN","layer":3},{"info":"⫖↰⪸1877⪄⫖↰⪸1145=⫖↰⪸-1947A1","layer":3},{"info":"NaN*⫖↰⪸-1947A1=NaN","layer":2},{"info":"⫖↰⪸-67⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸114=⫖↰⪸-117","layer":0}]}
{"id":578,"expression_no_base_symbol":"(⨈⫕(($3177$⇋≉)⨵⪆($1621$⋷$1354$)))∑⇟⊟((($2275$⫸⊐$6784$)↙(⨞⊢$1309$))⩷∴($3954$⊴$2835$⇋≉))","expression":"(⨈⫕((⫖↰⪸1A09⇋≉)⨵⪆(⫖↰⪸B31⋷⫖↰⪸94A)))∑⇟⊟(((⫖↰⪸1397⫸⊐⫖↰⪸3B14)↙(⨞⊢⫖↰⪸911))⩷∴(⫖↰⪸2356⊴⫖↰⪸1783⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6140,"operation_count":11,"complexity_ratio":558.1818181818181,"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":3177,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1621,"base":12},"right_expr":{"type":"numeric_atoms","value":1354,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2275,"base":12},"right_expr":{"type":"numeric_atoms","value":6784,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1309,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3954,"base":12},"right_expr":{"type":"numeric_atoms","value":2835,"base":12}}}}},"used_operators":["U7g4x0WXJJ","megm06wKyl","2DQ55sFlQl","XIabStNQrY","23Mk6UjR3U","9FxExcQeMw","yyfyN0ffXY","mqXw5SEYmG","xUOZtlo3hN","Nsiff2A1zJ"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3177","layer":4},{"info":"compute unary expreesion, input=3177, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6256","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1354, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1087","layer":3},{"info":"compute binary expreesion, left_input=6256, right_input=1087, 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 = 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=2275","layer":4},{"info":"number node, value=6784","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=6784, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27011","layer":3},{"info":"number node, value=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1483","layer":3},{"info":"compute binary expreesion, left_input=27011, right_input=-1483, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4449","layer":2},{"info":"number node, value=3954","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=2835, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4449, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(⨈⫕((⫖↰⪸1A09⇋≉)⨵⪆(⫖↰⪸B31⋷⫖↰⪸94A)))∑⇟⊟(((⫖↰⪸1397⫸⊐⫖↰⪸3B14)↙(⨞⊢⫖↰⪸911))⩷∴(⫖↰⪸2356⊴⫖↰⪸1783⇋≉))=NaN","reverse_text":"NaN=(⨈⫕((⫖↰⪸1A09⇋≉)⨵⪆(⫖↰⪸B31⋷⫖↰⪸94A)))∑⇟⊟(((⫖↰⪸1397⫸⊐⫖↰⪸3B14)↙(⨞⊢⫖↰⪸911))⩷∴(⫖↰⪸2356⊴⫖↰⪸1783⇋≉))","cot":[{"info":"⫖↰⪸1A09⇋≉=⫖↰⪸3754","layer":3},{"info":"⫖↰⪸B31⋷⫖↰⪸94A=⫖↰⪸767","layer":3},{"info":"⫖↰⪸3754⨵⪆⫖↰⪸767=⫖↰⪸114","layer":2},{"info":"⨈⫕⫖↰⪸114=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸1397⫸⊐⫖↰⪸3B14=⫖↰⪸1376B","layer":3},{"info":"⨞⊢⫖↰⪸911=⫖↰⪸-A37","layer":3},{"info":"⫖↰⪸1376B↙⫖↰⪸-A37=⫖↰⪸-26A9","layer":2},{"info":"⫖↰⪸2356⊴⫖↰⪸1783=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⫖↰⪸-26A9⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸-19∑⇟⊟NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"↔((↣≠⋷(⨈⫕$1003$))⫌⩹⨱)","expression":"↔((↣≠⋷(⨈⫕⫖↰⪸6B7))⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":858,"operation_count":4,"complexity_ratio":214.5,"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":1003,"base":12}}}}},"used_operators":["ruOEQAzv1W","EBcxylXtPf","Asc51vEJeQ","megm06wKyl"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"↔((↣≠⋷(⨈⫕⫖↰⪸6B7))⫌⩹⨱)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔((↣≠⋷(⨈⫕⫖↰⪸6B7))⫌⩹⨱)","cot":[{"info":"⨈⫕⫖↰⪸6B7=⫖↰⪸-19","layer":3},{"info":"↣≠⋷⫖↰⪸-19=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":580,"expression_no_base_symbol":"($4342$⫸⊐$7866$)⪢($2332$⇼⇔∾$6040$)∑⇟⊟((↯⪼$5572$)⨓($2183$*$2801$))⩤","expression":"(⫖↰⪸261A⫸⊐⫖↰⪸4676)⪢(⫖↰⪸1424⇼⇔∾⫖↰⪸35B4)∑⇟⊟((↯⪼⫖↰⪸3284)⨓(⫖↰⪸131B*⫖↰⪸1755))⩤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10881,"operation_count":8,"complexity_ratio":1360.125,"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":4342,"base":12},"right_expr":{"type":"numeric_atoms","value":7866,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2332,"base":12},"right_expr":{"type":"numeric_atoms","value":6040,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5572,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2183,"base":12},"right_expr":{"type":"numeric_atoms","value":2801,"base":12}}}}},"used_operators":["Z2TMIBDE3Q","U7g4x0WXJJ","dWAJyo7jo9","mqXw5SEYmG","tifHPKVTfV","3ViojmjbAp","8jW3W4yZS5","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4342","layer":4},{"info":"number node, value=7866","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=7866, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=31339","layer":3},{"info":"number node, value=2332","layer":4},{"info":"number node, value=6040","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=6040, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3708","layer":3},{"info":"compute binary expreesion, left_input=31339, right_input=3708, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=5572","layer":4},{"info":"compute unary expreesion, input=5572, 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=2183","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=2801, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6114583","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=6114583, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸261A⫸⊐⫖↰⪸4676)⪢(⫖↰⪸1424⇼⇔∾⫖↰⪸35B4)∑⇟⊟((↯⪼⫖↰⪸3284)⨓(⫖↰⪸131B*⫖↰⪸1755))⩤=NaN","reverse_text":"NaN=(⫖↰⪸261A⫸⊐⫖↰⪸4676)⪢(⫖↰⪸1424⇼⇔∾⫖↰⪸35B4)∑⇟⊟((↯⪼⫖↰⪸3284)⨓(⫖↰⪸131B*⫖↰⪸1755))⩤","cot":[{"info":"⫖↰⪸261A⫸⊐⫖↰⪸4676=⫖↰⪸16177","layer":3},{"info":"⫖↰⪸1424⇼⇔∾⫖↰⪸35B4=⫖↰⪸2190","layer":3},{"info":"⫖↰⪸16177⪢⫖↰⪸2190=NaN","layer":2},{"info":"↯⪼⫖↰⪸3284=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸131B*⫖↰⪸1755=⫖↰⪸206A647","layer":3},{"info":"⫖↰⪸-19⨓⫖↰⪸206A647=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"+⊝⨔((⋗⩬⋾$6173$)⋝⋈⪟$1692$⪮%⊝$1306$)≹⇙⪍(($1188$≭$1071$)⪘⫢$3033$⊴$1000$)","expression":"+⊝⨔((⋗⩬⋾⫖↰⪸36A5)⋝⋈⪟⫖↰⪸B90⪮%⊝⫖↰⪸90A)≹⇙⪍((⫖↰⪸830≭⫖↰⪸753)⪘⫢⫖↰⪸1909⊴⫖↰⪸6B4)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2254,"operation_count":8,"complexity_ratio":281.75,"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":6173,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1692,"base":12},"right_expr":{"type":"numeric_atoms","value":1306,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1188,"base":12},"right_expr":{"type":"numeric_atoms","value":1071,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3033,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}}}}},"used_operators":["DhbWaqg5eL","AHs5Up7iyr","2DDjHMKMc0","DpFCA1CohY","IWmyXbctLI","oacrs7FA3X","rxpJgHHUmx","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6173","layer":4},{"info":"compute unary expreesion, input=6173, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18519","layer":3},{"info":"number node, value=1692","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=1306, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3700","layer":3},{"info":"compute binary expreesion, left_input=-18519, right_input=3700, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-18519","layer":2},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1071, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3033","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=1000, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-18519, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"+⊝⨔((⋗⩬⋾⫖↰⪸36A5)⋝⋈⪟⫖↰⪸B90⪮%⊝⫖↰⪸90A)≹⇙⪍((⫖↰⪸830≭⫖↰⪸753)⪘⫢⫖↰⪸1909⊴⫖↰⪸6B4)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔((⋗⩬⋾⫖↰⪸36A5)⋝⋈⪟⫖↰⪸B90⪮%⊝⫖↰⪸90A)≹⇙⪍((⫖↰⪸830≭⫖↰⪸753)⪘⫢⫖↰⪸1909⊴⫖↰⪸6B4)","cot":[{"info":"⋗⩬⋾⫖↰⪸36A5=⫖↰⪸-A873","layer":3},{"info":"⫖↰⪸B90⪮%⊝⫖↰⪸90A=⫖↰⪸2184","layer":3},{"info":"⫖↰⪸-A873⋝⋈⪟⫖↰⪸2184=⫖↰⪸-A873","layer":2},{"info":"⫖↰⪸830≭⫖↰⪸753=NaN","layer":3},{"info":"⫖↰⪸1909⊴⫖↰⪸6B4=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸-A873≹⇙⪍NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":0}]}
{"id":582,"expression_no_base_symbol":"⋗⩬⋾((↯⪼$1537$)⫸⊐$1275$⫸⊐$2190$⪨≂(↩$5614$∀⇚≩$2526$))","expression":"⋗⩬⋾((↯⪼⫖↰⪸A81)⫸⊐⫖↰⪸8A3⫸⊐⫖↰⪸1326⪨≂(↩⫖↰⪸32BA∀⇚≩⫖↰⪸1566))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":39384,"operation_count":7,"complexity_ratio":5626.285714285715,"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":1537,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1275,"base":12},"right_expr":{"type":"numeric_atoms","value":2190,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5614,"base":12},"right_expr":{"type":"numeric_atoms","value":2526,"base":12}}}}},"used_operators":["DpFCA1CohY","sdazOOVcIp","mqXw5SEYmG","8jW3W4yZS5","jLgFTUHLKL","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, 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=1275","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=2190, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8635","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=8635, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=463","layer":2},{"info":"number node, value=5614","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=5614, right_input=2526, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=463, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾((↯⪼⫖↰⪸A81)⫸⊐⫖↰⪸8A3⫸⊐⫖↰⪸1326⪨≂(↩⫖↰⪸32BA∀⇚≩⫖↰⪸1566))=NaN","reverse_text":"NaN=⋗⩬⋾((↯⪼⫖↰⪸A81)⫸⊐⫖↰⪸8A3⫸⊐⫖↰⪸1326⪨≂(↩⫖↰⪸32BA∀⇚≩⫖↰⪸1566))","cot":[{"info":"↯⪼⫖↰⪸A81=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸8A3⫸⊐⫖↰⪸1326=⫖↰⪸4BB7","layer":3},{"info":"⫖↰⪸-19⫸⊐⫖↰⪸4BB7=⫖↰⪸327","layer":2},{"info":"⫖↰⪸32BA∀⇚≩⫖↰⪸1566=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⫖↰⪸327⪨≂NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((+⊝⨔($4597$⩚⊴⇥$7809$))⫡⨏(($1096$∑⇟⊟$8061$)∧))⋝⋈⪟(⨵≀≌((↔$1266$)⪨≂$3379$∼$2100$))","expression":"((+⊝⨔(⫖↰⪸27B1⩚⊴⇥⫖↰⪸4629))⫡⨏((⫖↰⪸774∑⇟⊟⫖↰⪸47B9)∧))⋝⋈⪟(⨵≀≌((↔⫖↰⪸896)⪨≂⫖↰⪸1B57∼⫖↰⪸1270))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":125,"operation_count":10,"complexity_ratio":12.5,"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":4597,"base":12},"right_expr":{"type":"numeric_atoms","value":7809,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1096,"base":12},"right_expr":{"type":"numeric_atoms","value":8061,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1266,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3379,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"base":12}}}}},"used_operators":["2DDjHMKMc0","QMFrweE19q","DhbWaqg5eL","NTOWxs364D","z63VuFQld9","U7g4x0WXJJ","srAu1WTS94","sdazOOVcIp","ruOEQAzv1W","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4597","layer":4},{"info":"number node, value=7809","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=7809, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12527","layer":3},{"info":"compute unary expreesion, input=-12527, 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=1096","layer":4},{"info":"number node, value=8061","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=8061, 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 = 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=1522, 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=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-993","layer":3},{"info":"number node, value=3379","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=3379, right_input=2100, 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=-993, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((+⊝⨔(⫖↰⪸27B1⩚⊴⇥⫖↰⪸4629))⫡⨏((⫖↰⪸774∑⇟⊟⫖↰⪸47B9)∧))⋝⋈⪟(⨵≀≌((↔⫖↰⪸896)⪨≂⫖↰⪸1B57∼⫖↰⪸1270))=NaN","reverse_text":"NaN=((+⊝⨔(⫖↰⪸27B1⩚⊴⇥⫖↰⪸4629))⫡⨏((⫖↰⪸774∑⇟⊟⫖↰⪸47B9)∧))⋝⋈⪟(⨵≀≌((↔⫖↰⪸896)⪨≂⫖↰⪸1B57∼⫖↰⪸1270))","cot":[{"info":"⫖↰⪸27B1⩚⊴⇥⫖↰⪸4629=⫖↰⪸-72BB","layer":3},{"info":"+⊝⨔⫖↰⪸-72BB=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸774∑⇟⊟⫖↰⪸47B9=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫖↰⪸A6A⫡⨏NaN=NaN","layer":1},{"info":"↔⫖↰⪸896=⫖↰⪸-6A9","layer":3},{"info":"⫖↰⪸1B57∼⫖↰⪸1270=NaN","layer":3},{"info":"⫖↰⪸-6A9⪨≂NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"⨈⫕($2576$⊴$9022$-($1464$⋷$4807$))↙(⨞⊢$2179$)⊴($3167$/$1539$)","expression":"⨈⫕(⫖↰⪸15A8⊴⫖↰⪸527A-(⫖↰⪸A20⋷⫖↰⪸2947))↙(⨞⊢⫖↰⪸1317)⊴(⫖↰⪸19BB/⫖↰⪸A83)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12958,"operation_count":8,"complexity_ratio":1619.75,"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":2576,"base":12},"right_expr":{"type":"numeric_atoms","value":9022,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1464,"base":12},"right_expr":{"type":"numeric_atoms","value":4807,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2179,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3167,"base":12},"right_expr":{"type":"numeric_atoms","value":1539,"base":12}}}}},"used_operators":["megm06wKyl","yyfyN0ffXY","rysDP5nf3Z","Nsiff2A1zJ","23Mk6UjR3U","xUOZtlo3hN","XhwjNDsVaA"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2576","layer":4},{"info":"number node, value=9022","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=9022, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=4807, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8150","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8150, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2353","layer":3},{"info":"number node, value=3167","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=1539, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=-2353, right_input=2, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⨈⫕(⫖↰⪸15A8⊴⫖↰⪸527A-(⫖↰⪸A20⋷⫖↰⪸2947))↙(⨞⊢⫖↰⪸1317)⊴(⫖↰⪸19BB/⫖↰⪸A83)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⫖↰⪸15A8⊴⫖↰⪸527A-(⫖↰⪸A20⋷⫖↰⪸2947))↙(⨞⊢⫖↰⪸1317)⊴(⫖↰⪸19BB/⫖↰⪸A83)","cot":[{"info":"⫖↰⪸15A8⊴⫖↰⪸527A=NaN","layer":3},{"info":"⫖↰⪸A20⋷⫖↰⪸2947=⫖↰⪸4872","layer":3},{"info":"NaN-⫖↰⪸4872=NaN","layer":2},{"info":"⨞⊢⫖↰⪸1317=⫖↰⪸-1441","layer":3},{"info":"⫖↰⪸19BB/⫖↰⪸A83=⫖↰⪸2","layer":3},{"info":"⫖↰⪸-1441⊴⫖↰⪸2=⫖↰⪸-67","layer":2},{"info":"NaN↙⫖↰⪸-67=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":585,"expression_no_base_symbol":"((⫛⫱⨽($8236$⨐⩸⫘$4317$))⨎(↣≠⋷(≦∁$2215$)))⨰(↣≠⋷($5075$⪘⫢$2021$⊪))","expression":"((⫛⫱⨽(⫖↰⪸4924⨐⩸⫘⫖↰⪸25B9))⨎(↣≠⋷(≦∁⫖↰⪸1347)))⨰(↣≠⋷(⫖↰⪸2B2B⪘⫢⫖↰⪸1205⊪))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":975,"operation_count":9,"complexity_ratio":108.33333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8236,"base":12},"right_expr":{"type":"numeric_atoms","value":4317,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2215,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5075,"base":12},"right_expr":{"type":"numeric_atoms","value":2021,"base":12}}}}},"used_operators":["eewbuw0ToL","rJVOvQCfKK","DlLNRPXxWL","fu6greOZ01","Asc51vEJeQ","9ICcGScMcE","zVYPLywUTj","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8236","layer":4},{"info":"number node, value=4317","layer":4},{"info":"compute binary expreesion, left_input=8236, right_input=4317, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=2215","layer":4},{"info":"compute unary expreesion, input=2215, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2215","layer":3},{"info":"compute unary expreesion, input=2215, 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 = 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=5075","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=5075, right_input=2021, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10026","layer":3},{"info":"compute unary expreesion, input=10026, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫛⫱⨽(⫖↰⪸4924⨐⩸⫘⫖↰⪸25B9))⨎(↣≠⋷(≦∁⫖↰⪸1347)))⨰(↣≠⋷(⫖↰⪸2B2B⪘⫢⫖↰⪸1205⊪))=NaN","reverse_text":"NaN=((⫛⫱⨽(⫖↰⪸4924⨐⩸⫘⫖↰⪸25B9))⨎(↣≠⋷(≦∁⫖↰⪸1347)))⨰(↣≠⋷(⫖↰⪸2B2B⪘⫢⫖↰⪸1205⊪))","cot":[{"info":"⫖↰⪸4924⨐⩸⫘⫖↰⪸25B9=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"≦∁⫖↰⪸1347=⫖↰⪸1347","layer":3},{"info":"↣≠⋷⫖↰⪸1347=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⫖↰⪸2B2B⪘⫢⫖↰⪸1205=⫖↰⪸5976","layer":3},{"info":"⫖↰⪸5976⊪=⫖↰⪸0","layer":2},{"info":"↣≠⋷⫖↰⪸0=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"((($2137$⨁⊸⫻)⊭↱(⪝⪂⫅$1495$))⨰((⪝⪂⫅$1725$)⋳⪒$5008$⩷∴$1287$))≦≮≮","expression":"(((⫖↰⪸12A1⨁⊸⫻)⊭↱(⪝⪂⫅⫖↰⪸A47))⨰((⪝⪂⫅⫖↰⪸BB9)⋳⪒⫖↰⪸2A94⩷∴⫖↰⪸8B3))≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":329,"operation_count":8,"complexity_ratio":41.125,"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":2137,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1495,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1725,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5008,"base":12},"right_expr":{"type":"numeric_atoms","value":1287,"base":12}}}}},"used_operators":["D4vGDi5EA2","eewbuw0ToL","COABgblf1C","glklzrTFfD","XTarYq4gQB","12rbrZMWeM","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-A3446","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2137","layer":3},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-219765","layer":3},{"info":"compute binary expreesion, left_input=2137, right_input=-219765, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-443799","layer":2},{"info":"number node, value=1725","layer":4},{"info":"compute unary expreesion, input=1725, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-253575","layer":3},{"info":"number node, value=5008","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=5008, right_input=1287, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7410","layer":3},{"info":"compute binary expreesion, left_input=-253575, right_input=7410, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-514847","layer":2},{"info":"compute binary expreesion, left_input=-443799, right_input=-514847, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=71058","layer":1},{"info":"compute unary expreesion, input=71058, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-213174","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸12A1⨁⊸⫻)⊭↱(⪝⪂⫅⫖↰⪸A47))⨰((⪝⪂⫅⫖↰⪸BB9)⋳⪒⫖↰⪸2A94⩷∴⫖↰⪸8B3))≦≮≮=⫖↰⪸-A3446","reverse_text":"⫖↰⪸-A3446=(((⫖↰⪸12A1⨁⊸⫻)⊭↱(⪝⪂⫅⫖↰⪸A47))⨰((⪝⪂⫅⫖↰⪸BB9)⋳⪒⫖↰⪸2A94⩷∴⫖↰⪸8B3))≦≮≮","cot":[{"info":"⫖↰⪸12A1⨁⊸⫻=⫖↰⪸12A1","layer":3},{"info":"⪝⪂⫅⫖↰⪸A47=⫖↰⪸-A7219","layer":3},{"info":"⫖↰⪸12A1⊭↱⫖↰⪸-A7219=⫖↰⪸-1949B3","layer":2},{"info":"⪝⪂⫅⫖↰⪸BB9=⫖↰⪸-1028B3","layer":3},{"info":"⫖↰⪸2A94⩷∴⫖↰⪸8B3=⫖↰⪸4356","layer":3},{"info":"⫖↰⪸-1028B3⋳⪒⫖↰⪸4356=⫖↰⪸-209B3B","layer":2},{"info":"⫖↰⪸-1949B3⨰⫖↰⪸-209B3B=⫖↰⪸35156","layer":1},{"info":"⫖↰⪸35156≦≮≮=⫖↰⪸-A3446","layer":0}]}
{"id":587,"expression_no_base_symbol":"(≤/($2221$⨪↰⇹$1072$*($4109$⪨≂$6190$)))⨎(($2003$≋⫹)⩚⊴⇥($2618$⊭∹↮)⋥≓≎(($1095$/$1273$)*($2293$/$6212$)))","expression":"(≤/(⫖↰⪸1351⨪↰⇹⫖↰⪸754*(⫖↰⪸2465⪨≂⫖↰⪸36BA)))⨎((⫖↰⪸11AB≋⫹)⩚⊴⇥(⫖↰⪸1622⊭∹↮)⋥≓≎((⫖↰⪸773/⫖↰⪸8A1)*(⫖↰⪸13B1/⫖↰⪸3718)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4466,"operation_count":12,"complexity_ratio":372.1666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2221,"base":12},"right_expr":{"type":"numeric_atoms","value":1072,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4109,"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":2003,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2618,"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":1273,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2293,"base":12},"right_expr":{"type":"numeric_atoms","value":6212,"base":12}}}}},"used_operators":["rJVOvQCfKK","eLAdDNolq6","9HNa5Wba9A","tmPS8pqC7x","sdazOOVcIp","Qy55tPpLXF","NTOWxs364D","N41Kp7NANJ","xNBdhnnwKq","XhwjNDsVaA"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2221","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=1072, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2221","layer":3},{"info":"number node, value=4109","layer":4},{"info":"number node, value=6190","layer":4},{"info":"compute binary expreesion, left_input=4109, 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=-4060","layer":3},{"info":"compute binary expreesion, left_input=2221, right_input=-4060, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-9017260","layer":2},{"info":"compute unary expreesion, input=-9017260, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=9017744","layer":1},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4006","layer":3},{"info":"number node, value=2618","layer":4},{"info":"compute unary expreesion, input=2618, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5236","layer":3},{"info":"compute binary expreesion, left_input=-4006, right_input=5236, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1351","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1273, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2293","layer":4},{"info":"number node, value=6212","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=6212, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=-1351, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=9017744, 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":0}],"base":12,"result_base":12,"text":"(≤/(⫖↰⪸1351⨪↰⇹⫖↰⪸754*(⫖↰⪸2465⪨≂⫖↰⪸36BA)))⨎((⫖↰⪸11AB≋⫹)⩚⊴⇥(⫖↰⪸1622⊭∹↮)⋥≓≎((⫖↰⪸773/⫖↰⪸8A1)*(⫖↰⪸13B1/⫖↰⪸3718)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(≤/(⫖↰⪸1351⨪↰⇹⫖↰⪸754*(⫖↰⪸2465⪨≂⫖↰⪸36BA)))⨎((⫖↰⪸11AB≋⫹)⩚⊴⇥(⫖↰⪸1622⊭∹↮)⋥≓≎((⫖↰⪸773/⫖↰⪸8A1)*(⫖↰⪸13B1/⫖↰⪸3718)))","cot":[{"info":"⫖↰⪸1351⨪↰⇹⫖↰⪸754=⫖↰⪸1351","layer":3},{"info":"⫖↰⪸2465⪨≂⫖↰⪸36BA=⫖↰⪸-2424","layer":3},{"info":"⫖↰⪸1351*⫖↰⪸-2424=⫖↰⪸-302A3A4","layer":2},{"info":"≤/⫖↰⪸-302A3A4=⫖↰⪸302A728","layer":1},{"info":"⫖↰⪸11AB≋⫹=⫖↰⪸-239A","layer":3},{"info":"⫖↰⪸1622⊭∹↮=⫖↰⪸3044","layer":3},{"info":"⫖↰⪸-239A⩚⊴⇥⫖↰⪸3044=⫖↰⪸-947","layer":2},{"info":"⫖↰⪸773/⫖↰⪸8A1=⫖↰⪸0","layer":3},{"info":"⫖↰⪸13B1/⫖↰⪸3718=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-947⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":1},{"info":"⫖↰⪸302A728⨎⫖↰⪸57=⫖↰⪸57","layer":0}]}
{"id":588,"expression_no_base_symbol":"∥⊫((↥$1956$)+⇶⊼$3891$⋓$5600$⫡⨏(+⊝⨔($4688$⨵⪆$1791$)))","expression":"∥⊫((↥⫖↰⪸1170)+⇶⊼⫖↰⪸2303⋓⫖↰⪸32A8⫡⨏(+⊝⨔(⫖↰⪸2868⨵⪆⫖↰⪸1053)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":84,"operation_count":7,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1956,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3891,"base":12},"right_expr":{"type":"numeric_atoms","value":5600,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4688,"base":12},"right_expr":{"type":"numeric_atoms","value":1791,"base":12}}}}},"used_operators":["P8v4zCKN1o","QMFrweE19q","TpPTUOHfaN","A8NUZmVepG","T2fj7uvVaJ","DhbWaqg5eL","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2873","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1956","layer":4},{"info":"compute unary expreesion, input=1956, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=3891","layer":4},{"info":"number node, value=5600","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=5600, 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=18, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"number node, value=4688","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=4688, right_input=1791, 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 = 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=3827","layer":1},{"info":"compute unary expreesion, input=3827, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4695","layer":0}],"base":12,"result_base":12,"text":"∥⊫((↥⫖↰⪸1170)+⇶⊼⫖↰⪸2303⋓⫖↰⪸32A8⫡⨏(+⊝⨔(⫖↰⪸2868⨵⪆⫖↰⪸1053)))=⫖↰⪸2873","reverse_text":"⫖↰⪸2873=∥⊫((↥⫖↰⪸1170)+⇶⊼⫖↰⪸2303⋓⫖↰⪸32A8⫡⨏(+⊝⨔(⫖↰⪸2868⨵⪆⫖↰⪸1053)))","cot":[{"info":"↥⫖↰⪸1170=⫖↰⪸16","layer":3},{"info":"⫖↰⪸2303⋓⫖↰⪸32A8=⫖↰⪸0","layer":3},{"info":"⫖↰⪸16+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2868⨵⪆⫖↰⪸1053=⫖↰⪸114","layer":3},{"info":"+⊝⨔⫖↰⪸114=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸0⫡⨏⫖↰⪸A6A=⫖↰⪸226B","layer":1},{"info":"∥⊫⫖↰⪸226B=⫖↰⪸2873","layer":0}]}
{"id":589,"expression_no_base_symbol":"≉($1049$⨪↰⇹$2129$%(≤/$3210$))∑⇟⊟(($1548$+$4895$)⨳⩥⨓$1929$≎⊠⪸$5083$)","expression":"≉(⫖↰⪸735⨪↰⇹⫖↰⪸1295%(≤/⫖↰⪸1A36))∑⇟⊟((⫖↰⪸A90+⫖↰⪸29BB)⨳⩥⨓⫖↰⪸1149≎⊠⪸⫖↰⪸2B37)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1327,"operation_count":8,"complexity_ratio":165.875,"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":1049,"base":12},"right_expr":{"type":"numeric_atoms","value":2129,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3210,"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":4895,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1929,"base":12},"right_expr":{"type":"numeric_atoms","value":5083,"base":12}}}}},"used_operators":["e1ybzncUwg","U7g4x0WXJJ","k8jYdgA6NY","tmPS8pqC7x","eLAdDNolq6","nCS4ZIUYfx","W4YGzv6Whe","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=2129, 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=1049","layer":3},{"info":"number node, value=3210","layer":4},{"info":"compute unary expreesion, input=3210, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2726","layer":3},{"info":"compute binary expreesion, left_input=1049, right_input=-2726, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1677","layer":2},{"info":"number node, value=1548","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=4895, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6443","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=5083","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=5083, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=499138","layer":3},{"info":"compute binary expreesion, left_input=6443, right_input=499138, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=492695","layer":2},{"info":"compute binary expreesion, left_input=-1677, right_input=492695, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉(⫖↰⪸735⨪↰⇹⫖↰⪸1295%(≤/⫖↰⪸1A36))∑⇟⊟((⫖↰⪸A90+⫖↰⪸29BB)⨳⩥⨓⫖↰⪸1149≎⊠⪸⫖↰⪸2B37)=NaN","reverse_text":"NaN=≉(⫖↰⪸735⨪↰⇹⫖↰⪸1295%(≤/⫖↰⪸1A36))∑⇟⊟((⫖↰⪸A90+⫖↰⪸29BB)⨳⩥⨓⫖↰⪸1149≎⊠⪸⫖↰⪸2B37)","cot":[{"info":"⫖↰⪸735⨪↰⇹⫖↰⪸1295=⫖↰⪸735","layer":3},{"info":"≤/⫖↰⪸1A36=⫖↰⪸-16B2","layer":3},{"info":"⫖↰⪸735%⫖↰⪸-16B2=⫖↰⪸-B79","layer":2},{"info":"⫖↰⪸A90+⫖↰⪸29BB=⫖↰⪸388B","layer":3},{"info":"⫖↰⪸1149≎⊠⪸⫖↰⪸2B37=⫖↰⪸200A2A","layer":3},{"info":"⫖↰⪸388B⨳⩥⨓⫖↰⪸200A2A=⫖↰⪸1B915B","layer":2},{"info":"⫖↰⪸-B79∑⇟⊟⫖↰⪸1B915B=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"($3261$⪮%⊝$5791$⨵⪆$1236$⊉≛↸$1021$)≭($1137$⨪↰⇹$1200$)⨟⋌⩍($2496$⨳⩥⨓$3228$)⋷((⊥($1099$⩚⊴⇥$3106$))⩠)","expression":"(⫖↰⪸1A79⪮%⊝⫖↰⪸3427⨵⪆⫖↰⪸870⊉≛↸⫖↰⪸711)≭(⫖↰⪸7A9⨪↰⇹⫖↰⪸840)⨟⋌⩍(⫖↰⪸1540⨳⩥⨓⫖↰⪸1A50)⋷((⊥(⫖↰⪸777⩚⊴⇥⫖↰⪸196A))⩠)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4615,"operation_count":11,"complexity_ratio":419.54545454545456,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3261,"base":12},"right_expr":{"type":"numeric_atoms","value":5791,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1137,"base":12},"right_expr":{"type":"numeric_atoms","value":1200,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2496,"base":12},"right_expr":{"type":"numeric_atoms","value":3228,"base":12}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1099,"base":12},"right_expr":{"type":"numeric_atoms","value":3106,"base":12}}}}},"used_operators":["23Mk6UjR3U","rxpJgHHUmx","2DQ55sFlQl","IWmyXbctLI","DZ8iAZOCBD","rGHVDoGpnC","tmPS8pqC7x","nCS4ZIUYfx","sJAwomhLZr","Q3PJZHRvZv","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸38","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3261","layer":4},{"info":"number node, value=5791","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=5791, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6838","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1021, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2472","layer":3},{"info":"compute binary expreesion, left_input=6838, right_input=2472, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1200, 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=1137","layer":3},{"info":"number node, value=2496","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=3228, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=732","layer":3},{"info":"compute binary expreesion, left_input=1137, right_input=732, 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=160, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"number node, value=1099","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=3106, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4326","layer":3},{"info":"compute unary expreesion, input=-4326, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=44","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A79⪮%⊝⫖↰⪸3427⨵⪆⫖↰⪸870⊉≛↸⫖↰⪸711)≭(⫖↰⪸7A9⨪↰⇹⫖↰⪸840)⨟⋌⩍(⫖↰⪸1540⨳⩥⨓⫖↰⪸1A50)⋷((⊥(⫖↰⪸777⩚⊴⇥⫖↰⪸196A))⩠)=⫖↰⪸38","reverse_text":"⫖↰⪸38=(⫖↰⪸1A79⪮%⊝⫖↰⪸3427⨵⪆⫖↰⪸870⊉≛↸⫖↰⪸711)≭(⫖↰⪸7A9⨪↰⇹⫖↰⪸840)⨟⋌⩍(⫖↰⪸1540⨳⩥⨓⫖↰⪸1A50)⋷((⊥(⫖↰⪸777⩚⊴⇥⫖↰⪸196A))⩠)","cot":[{"info":"⫖↰⪸1A79⪮%⊝⫖↰⪸3427=⫖↰⪸3B5A","layer":3},{"info":"⫖↰⪸870⊉≛↸⫖↰⪸711=⫖↰⪸1520","layer":3},{"info":"⫖↰⪸3B5A⨵⪆⫖↰⪸1520=⫖↰⪸114","layer":2},{"info":"⫖↰⪸7A9⨪↰⇹⫖↰⪸840=⫖↰⪸7A9","layer":3},{"info":"⫖↰⪸1540⨳⩥⨓⫖↰⪸1A50=⫖↰⪸510","layer":3},{"info":"⫖↰⪸7A9⨟⋌⩍⫖↰⪸510=⫖↰⪸0","layer":2},{"info":"⫖↰⪸114≭⫖↰⪸0=⫖↰⪸-1A","layer":1},{"info":"⫖↰⪸777⩚⊴⇥⫖↰⪸196A=⫖↰⪸-2606","layer":3},{"info":"⊥⫖↰⪸-2606=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫖↰⪸-1A⋷NaN=⫖↰⪸38","layer":0}]}
{"id":591,"expression_no_base_symbol":"((⨞⊢($8928$⩤))⪒($7863$⇋≉)↬(≉$1537$))⋫","expression":"((⨞⊢(⫖↰⪸5200⩤))⪒(⫖↰⪸4673⇋≉)↬(≉⫖↰⪸A81))⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13,"operation_count":7,"complexity_ratio":1.8571428571428572,"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":8928,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":7863,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1537,"base":12}}}}},"used_operators":["JL8yIekQnl","f6k1SAg4EE","xUOZtlo3hN","Z2TMIBDE3Q","B5M0gjZbta","XIabStNQrY","e1ybzncUwg"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8928","layer":4},{"info":"compute unary expreesion, input=8928, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-8928","layer":3},{"info":"compute unary expreesion, input=-8928, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=8754","layer":2},{"info":"number node, value=7863","layer":4},{"info":"compute unary expreesion, input=7863, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=15628","layer":3},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2068","layer":3},{"info":"compute binary expreesion, left_input=15628, right_input=2068, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=8754, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨞⊢(⫖↰⪸5200⩤))⪒(⫖↰⪸4673⇋≉)↬(≉⫖↰⪸A81))⋫=NaN","reverse_text":"NaN=((⨞⊢(⫖↰⪸5200⩤))⪒(⫖↰⪸4673⇋≉)↬(≉⫖↰⪸A81))⋫","cot":[{"info":"⫖↰⪸5200⩤=⫖↰⪸-5200","layer":3},{"info":"⨞⊢⫖↰⪸-5200=⫖↰⪸5096","layer":2},{"info":"⫖↰⪸4673⇋≉=⫖↰⪸9064","layer":3},{"info":"≉⫖↰⪸A81=⫖↰⪸1244","layer":3},{"info":"⫖↰⪸9064↬⫖↰⪸1244=NaN","layer":2},{"info":"⫖↰⪸5096⪒NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"(($4654$∸)⊉≛↸$1014$⋝⋈⪟$2400$⫡⨏$2676$⇷$1273$⨳⩥⨓$4208$⨓$5653$)⫸⊐(∂($3366$⋷$1200$)⊴($1115$↺$1245$))","expression":"((⫖↰⪸283A∸)⊉≛↸⫖↰⪸706⋝⋈⪟⫖↰⪸1480⫡⨏⫖↰⪸1670⇷⫖↰⪸8A1⨳⩥⨓⫖↰⪸2528⨓⫖↰⪸3331)⫸⊐(∂(⫖↰⪸1B46⋷⫖↰⪸840)⊴(⫖↰⪸78B↺⫖↰⪸879))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44621,"operation_count":12,"complexity_ratio":3718.4166666666665,"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":4654,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":2400,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2676,"base":12},"right_expr":{"type":"numeric_atoms","value":1273,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4208,"base":12},"right_expr":{"type":"numeric_atoms","value":5653,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3366,"base":12},"right_expr":{"type":"numeric_atoms","value":1200,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1115,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}}}}},"used_operators":["mqXw5SEYmG","QMFrweE19q","DZ8iAZOCBD","o20kRiQErp","2DDjHMKMc0","nCS4ZIUYfx","mp7IySMOzn","3ViojmjbAp","Uaa54Peajs","Nsiff2A1zJ","23Mk6UjR3U","7j4O788W3g"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4654","layer":4},{"info":"compute unary expreesion, input=4654, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2400, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1014","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1014, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=354","layer":2},{"info":"number node, value=2676","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=1273, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2546","layer":3},{"info":"number node, value=4208","layer":4},{"info":"number node, value=5653","layer":4},{"info":"compute binary expreesion, left_input=4208, right_input=5653, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5656","layer":3},{"info":"compute binary expreesion, left_input=2546, right_input=-5656, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8202","layer":2},{"info":"compute binary expreesion, left_input=354, right_input=-8202, 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=-13851","layer":1},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1200, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-966","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1245, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1245","layer":3},{"info":"compute binary expreesion, left_input=-966, right_input=1245, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13851, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸283A∸)⊉≛↸⫖↰⪸706⋝⋈⪟⫖↰⪸1480⫡⨏⫖↰⪸1670⇷⫖↰⪸8A1⨳⩥⨓⫖↰⪸2528⨓⫖↰⪸3331)⫸⊐(∂(⫖↰⪸1B46⋷⫖↰⪸840)⊴(⫖↰⪸78B↺⫖↰⪸879))=⫖↰⪸688","reverse_text":"⫖↰⪸688=((⫖↰⪸283A∸)⊉≛↸⫖↰⪸706⋝⋈⪟⫖↰⪸1480⫡⨏⫖↰⪸1670⇷⫖↰⪸8A1⨳⩥⨓⫖↰⪸2528⨓⫖↰⪸3331)⫸⊐(∂(⫖↰⪸1B46⋷⫖↰⪸840)⊴(⫖↰⪸78B↺⫖↰⪸879))","cot":[{"info":"⫖↰⪸283A∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸706⋝⋈⪟⫖↰⪸1480=⫖↰⪸706","layer":3},{"info":"⫖↰⪸129⊉≛↸⫖↰⪸706=⫖↰⪸256","layer":2},{"info":"⫖↰⪸1670⇷⫖↰⪸8A1=⫖↰⪸1582","layer":3},{"info":"⫖↰⪸2528⨓⫖↰⪸3331=⫖↰⪸-3334","layer":3},{"info":"⫖↰⪸1582⨳⩥⨓⫖↰⪸-3334=⫖↰⪸-48B6","layer":2},{"info":"⫖↰⪸256⫡⨏⫖↰⪸-48B6=⫖↰⪸-8023","layer":1},{"info":"⫖↰⪸1B46⋷⫖↰⪸840=⫖↰⪸-686","layer":3},{"info":"⫖↰⪸78B↺⫖↰⪸879=⫖↰⪸879","layer":3},{"info":"⫖↰⪸-686⊴⫖↰⪸879=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸-8023⫸⊐NaN=⫖↰⪸688","layer":0}]}
{"id":593,"expression_no_base_symbol":"($6895$↬$1043$⋓($1327$⋓$5712$))⪛(($7047$⪒$1282$)⨰$3748$⊴$1324$)∲⫓(($2263$∲⫓$2217$)∸)⊴(+⊝⨔($4332$+⇶⊼$5297$))","expression":"(⫖↰⪸3BA7↬⫖↰⪸72B⋓(⫖↰⪸927⋓⫖↰⪸3380))⪛((⫖↰⪸40B3⪒⫖↰⪸8AA)⨰⫖↰⪸2204⊴⫖↰⪸924)∲⫓((⫖↰⪸1387∲⫓⫖↰⪸1349)∸)⊴(+⊝⨔(⫖↰⪸2610+⇶⊼⫖↰⪸3095))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4328,"operation_count":13,"complexity_ratio":332.9230769230769,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6895,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":5712,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7047,"base":12},"right_expr":{"type":"numeric_atoms","value":1282,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3748,"base":12},"right_expr":{"type":"numeric_atoms","value":1324,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2263,"base":12},"right_expr":{"type":"numeric_atoms","value":2217,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4332,"base":12},"right_expr":{"type":"numeric_atoms","value":5297,"base":12}}}}},"used_operators":["i8ToyICDmI","uFcxV4UQCh","T2fj7uvVaJ","B5M0gjZbta","eewbuw0ToL","f6k1SAg4EE","Nsiff2A1zJ","o20kRiQErp","DhbWaqg5eL","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6895","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=6895, right_input=1043, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1327","layer":4},{"info":"number node, value=5712","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=5712, 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 = 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=7047","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=7047, right_input=1282, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8329","layer":3},{"info":"number node, value=3748","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=1324, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8329, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2263","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=2217, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4332","layer":4},{"info":"number node, value=5297","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=5297, 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 = 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=177, right_input=1522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3BA7↬⫖↰⪸72B⋓(⫖↰⪸927⋓⫖↰⪸3380))⪛((⫖↰⪸40B3⪒⫖↰⪸8AA)⨰⫖↰⪸2204⊴⫖↰⪸924)∲⫓((⫖↰⪸1387∲⫓⫖↰⪸1349)∸)⊴(+⊝⨔(⫖↰⪸2610+⇶⊼⫖↰⪸3095))=NaN","reverse_text":"NaN=(⫖↰⪸3BA7↬⫖↰⪸72B⋓(⫖↰⪸927⋓⫖↰⪸3380))⪛((⫖↰⪸40B3⪒⫖↰⪸8AA)⨰⫖↰⪸2204⊴⫖↰⪸924)∲⫓((⫖↰⪸1387∲⫓⫖↰⪸1349)∸)⊴(+⊝⨔(⫖↰⪸2610+⇶⊼⫖↰⪸3095))","cot":[{"info":"⫖↰⪸3BA7↬⫖↰⪸72B=NaN","layer":3},{"info":"⫖↰⪸927⋓⫖↰⪸3380=⫖↰⪸0","layer":3},{"info":"NaN⋓⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸40B3⪒⫖↰⪸8AA=⫖↰⪸-49A1","layer":3},{"info":"⫖↰⪸2204⊴⫖↰⪸924=NaN","layer":3},{"info":"⫖↰⪸-49A1⨰NaN=NaN","layer":2},{"info":"⫖↰⪸0⪛NaN=NaN","layer":1},{"info":"⫖↰⪸1387∲⫓⫖↰⪸1349=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸2610+⇶⊼⫖↰⪸3095=NaN","layer":3},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸129⊴⫖↰⪸A6A=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"(($2428$⪄$1125$)⨐⩸⫘$1677$∼$7968$-(⨵≀≌$1297$)⇼⇔∾$2145$⪮%⊝$1359$)≧⫂∧(((⨵≀≌$2091$)⪨≂$5742$⫥∨⫟$1136$)≧⫂∧(($2107$≭$2382$)≧⫂∧($2514$⊦⊿)))","expression":"((⫖↰⪸14A4⪄⫖↰⪸799)⨐⩸⫘⫖↰⪸B79∼⫖↰⪸4740-(⨵≀≌⫖↰⪸901)⇼⇔∾⫖↰⪸12A9⪮%⊝⫖↰⪸953)≧⫂∧(((⨵≀≌⫖↰⪸1263)⪨≂⫖↰⪸33A6⫥∨⫟⫖↰⪸7A8)≧⫂∧((⫖↰⪸1277≭⫖↰⪸1466)≧⫂∧(⫖↰⪸1556⊦⊿)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":318,"operation_count":15,"complexity_ratio":21.2,"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":2428,"base":12},"right_expr":{"type":"numeric_atoms","value":1125,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1677,"base":12},"right_expr":{"type":"numeric_atoms","value":7968,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1297,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2145,"base":12},"right_expr":{"type":"numeric_atoms","value":1359,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2091,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5742,"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":2107,"base":12},"right_expr":{"type":"numeric_atoms","value":2382,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2514,"base":12}}}}},"used_operators":["Ph9nP6C5qx","rysDP5nf3Z","fu6greOZ01","SUmda5xLS4","DyGG3AbaNP","tifHPKVTfV","srAu1WTS94","IWmyXbctLI","sdazOOVcIp","KYD54nUTWz","rxpJgHHUmx","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2428","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=1125, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-359933","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=7968","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=7968, 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=-359933, 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=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3891","layer":3},{"info":"number node, value=2145","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=1359, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4606","layer":3},{"info":"compute binary expreesion, left_input=-3891, right_input=4606, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=8497","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8497, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2091","layer":4},{"info":"compute unary expreesion, input=2091, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6273","layer":3},{"info":"number node, value=5742","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=5742, right_input=1136, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6273, 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=2107","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2382, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2514","layer":4},{"info":"compute unary expreesion, input=2514, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7621","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7621, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸14A4⪄⫖↰⪸799)⨐⩸⫘⫖↰⪸B79∼⫖↰⪸4740-(⨵≀≌⫖↰⪸901)⇼⇔∾⫖↰⪸12A9⪮%⊝⫖↰⪸953)≧⫂∧(((⨵≀≌⫖↰⪸1263)⪨≂⫖↰⪸33A6⫥∨⫟⫖↰⪸7A8)≧⫂∧((⫖↰⪸1277≭⫖↰⪸1466)≧⫂∧(⫖↰⪸1556⊦⊿)))=NaN","reverse_text":"NaN=((⫖↰⪸14A4⪄⫖↰⪸799)⨐⩸⫘⫖↰⪸B79∼⫖↰⪸4740-(⨵≀≌⫖↰⪸901)⇼⇔∾⫖↰⪸12A9⪮%⊝⫖↰⪸953)≧⫂∧(((⨵≀≌⫖↰⪸1263)⪨≂⫖↰⪸33A6⫥∨⫟⫖↰⪸7A8)≧⫂∧((⫖↰⪸1277≭⫖↰⪸1466)≧⫂∧(⫖↰⪸1556⊦⊿)))","cot":[{"info":"⫖↰⪸14A4⪄⫖↰⪸799=⫖↰⪸-154365","layer":3},{"info":"⫖↰⪸B79∼⫖↰⪸4740=NaN","layer":3},{"info":"⫖↰⪸-154365⨐⩸⫘NaN=NaN","layer":2},{"info":"⨵≀≌⫖↰⪸901=⫖↰⪸-2303","layer":3},{"info":"⫖↰⪸12A9⪮%⊝⫖↰⪸953=⫖↰⪸27BA","layer":3},{"info":"⫖↰⪸-2303⇼⇔∾⫖↰⪸27BA=⫖↰⪸4B01","layer":2},{"info":"NaN-⫖↰⪸4B01=NaN","layer":1},{"info":"⨵≀≌⫖↰⪸1263=⫖↰⪸-3769","layer":3},{"info":"⫖↰⪸33A6⫥∨⫟⫖↰⪸7A8=NaN","layer":3},{"info":"⫖↰⪸-3769⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸1277≭⫖↰⪸1466=NaN","layer":3},{"info":"⫖↰⪸1556⊦⊿=⫖↰⪸-44B1","layer":3},{"info":"NaN≧⫂∧⫖↰⪸-44B1=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"(≦∁($3702$⋷$8535$)⪄(≉$7168$))↙(⨵≀≌(≉$2701$↺$1080$))","expression":"(≦∁(⫖↰⪸2186⋷⫖↰⪸4B33)⪄(≉⫖↰⪸4194))↙(⨵≀≌(≉⫖↰⪸1691↺⫖↰⪸760))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6796,"operation_count":8,"complexity_ratio":849.5,"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":3702,"base":12},"right_expr":{"type":"numeric_atoms","value":8535,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7168,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2701,"base":12},"right_expr":{"type":"numeric_atoms","value":1080,"base":12}}}}},"used_operators":["yyfyN0ffXY","9ICcGScMcE","SUmda5xLS4","23Mk6UjR3U","e1ybzncUwg","srAu1WTS94","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3702","layer":4},{"info":"number node, value=8535","layer":4},{"info":"compute binary expreesion, left_input=3702, right_input=8535, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13368","layer":3},{"info":"number node, value=7168","layer":4},{"info":"compute unary expreesion, input=7168, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7699","layer":3},{"info":"compute binary expreesion, left_input=13368, right_input=7699, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2005349","layer":2},{"info":"compute unary expreesion, input=-2005349, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1080, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1080","layer":3},{"info":"compute unary expreesion, input=1080, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1611","layer":2},{"info":"compute unary expreesion, input=1611, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4833","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-4833, 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":"(≦∁(⫖↰⪸2186⋷⫖↰⪸4B33)⪄(≉⫖↰⪸4194))↙(⨵≀≌(≉⫖↰⪸1691↺⫖↰⪸760))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(≦∁(⫖↰⪸2186⋷⫖↰⪸4B33)⪄(≉⫖↰⪸4194))↙(⨵≀≌(≉⫖↰⪸1691↺⫖↰⪸760))","cot":[{"info":"⫖↰⪸2186⋷⫖↰⪸4B33=⫖↰⪸78A0","layer":3},{"info":"≉⫖↰⪸4194=⫖↰⪸4557","layer":3},{"info":"⫖↰⪸78A0⪄⫖↰⪸4557=⫖↰⪸-808605","layer":2},{"info":"≦∁⫖↰⪸-808605=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1691↺⫖↰⪸760=⫖↰⪸760","layer":3},{"info":"≉⫖↰⪸760=⫖↰⪸B23","layer":2},{"info":"⨵≀≌⫖↰⪸B23=⫖↰⪸-2969","layer":1},{"info":"⫖↰⪸57↙⫖↰⪸-2969=⫖↰⪸57","layer":0}]}
{"id":596,"expression_no_base_symbol":"(($5219$⨳⩥⨓$3376$)⋓($4415$+⇶⊼$4528$)∲⫓$1078$*$2509$⪒$1893$⩷∴$1204$)≹⇙⪍((⨞⊢$5468$)⫸⊐(↯⪼$6150$)-($2103$⪛$4875$)⪢($2194$⪐))","expression":"((⫖↰⪸302B⨳⩥⨓⫖↰⪸1B54)⋓(⫖↰⪸267B+⇶⊼⫖↰⪸2754)∲⫓⫖↰⪸75A*⫖↰⪸1551⪒⫖↰⪸1119⩷∴⫖↰⪸844)≹⇙⪍((⨞⊢⫖↰⪸31B8)⫸⊐(↯⪼⫖↰⪸3686)-(⫖↰⪸1273⪛⫖↰⪸29A3)⪢(⫖↰⪸132A⪐))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5538,"operation_count":15,"complexity_ratio":369.2,"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":5219,"base":12},"right_expr":{"type":"numeric_atoms","value":3376,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4415,"base":12},"right_expr":{"type":"numeric_atoms","value":4528,"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":2509,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1893,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5468,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6150,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2103,"base":12},"right_expr":{"type":"numeric_atoms","value":4875,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2194,"base":12}}}}},"used_operators":["AHs5Up7iyr","i8ToyICDmI","T2fj7uvVaJ","nCS4ZIUYfx","TpPTUOHfaN","f6k1SAg4EE","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","mqXw5SEYmG","xUOZtlo3hN","8jW3W4yZS5","dWAJyo7jo9","uFcxV4UQCh","eH2TOUuTDT"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5219","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=3376, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1843","layer":3},{"info":"number node, value=4415","layer":4},{"info":"number node, value=4528","layer":4},{"info":"compute binary expreesion, left_input=4415, right_input=4528, 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=-1843, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=2509, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2704702","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=1204, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1346","layer":3},{"info":"compute binary expreesion, left_input=2704702, right_input=1346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2706048","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2706048, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=5468","layer":4},{"info":"compute unary expreesion, input=5468, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5642","layer":3},{"info":"number node, value=6150","layer":4},{"info":"compute unary expreesion, input=6150, 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=-5642, 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":"number node, value=2103","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=4875, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2103","layer":3},{"info":"number node, value=2194","layer":4},{"info":"compute unary expreesion, input=2194, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4388","layer":3},{"info":"compute binary expreesion, left_input=2103, right_input=4388, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=968, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⫖↰⪸302B⨳⩥⨓⫖↰⪸1B54)⋓(⫖↰⪸267B+⇶⊼⫖↰⪸2754)∲⫓⫖↰⪸75A*⫖↰⪸1551⪒⫖↰⪸1119⩷∴⫖↰⪸844)≹⇙⪍((⨞⊢⫖↰⪸31B8)⫸⊐(↯⪼⫖↰⪸3686)-(⫖↰⪸1273⪛⫖↰⪸29A3)⪢(⫖↰⪸132A⪐))=NaN","reverse_text":"NaN=((⫖↰⪸302B⨳⩥⨓⫖↰⪸1B54)⋓(⫖↰⪸267B+⇶⊼⫖↰⪸2754)∲⫓⫖↰⪸75A*⫖↰⪸1551⪒⫖↰⪸1119⩷∴⫖↰⪸844)≹⇙⪍((⨞⊢⫖↰⪸31B8)⫸⊐(↯⪼⫖↰⪸3686)-(⫖↰⪸1273⪛⫖↰⪸29A3)⪢(⫖↰⪸132A⪐))","cot":[{"info":"⫖↰⪸302B⨳⩥⨓⫖↰⪸1B54=⫖↰⪸-1097","layer":3},{"info":"⫖↰⪸267B+⇶⊼⫖↰⪸2754=NaN","layer":3},{"info":"⫖↰⪸-1097⋓NaN=NaN","layer":2},{"info":"⫖↰⪸75A*⫖↰⪸1551=⫖↰⪸AA527A","layer":3},{"info":"⫖↰⪸1119⩷∴⫖↰⪸844=⫖↰⪸942","layer":3},{"info":"⫖↰⪸AA527A⪒⫖↰⪸942=⫖↰⪸-AA6000","layer":2},{"info":"NaN∲⫓⫖↰⪸-AA6000=NaN","layer":1},{"info":"⨞⊢⫖↰⪸31B8=⫖↰⪸-3322","layer":3},{"info":"↯⪼⫖↰⪸3686=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-3322⫸⊐⫖↰⪸-19=⫖↰⪸688","layer":2},{"info":"⫖↰⪸1273⪛⫖↰⪸29A3=⫖↰⪸1273","layer":3},{"info":"⫖↰⪸132A⪐=⫖↰⪸2658","layer":3},{"info":"⫖↰⪸1273⪢⫖↰⪸2658=NaN","layer":2},{"info":"⫖↰⪸688-NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"((⨈⫕$1146$)⪛($2542$%$1701$))≹⇙⪍(⨰⫟⨤$5803$≹⇙⪍$5141$)+⇶⊼(($1508$⇷$2912$↙(↔$2884$))∸)","expression":"((⨈⫕⫖↰⪸7B6)⪛(⫖↰⪸157A%⫖↰⪸B99))≹⇙⪍(⨰⫟⨤⫖↰⪸3437≹⇙⪍⫖↰⪸2B85)+⇶⊼((⫖↰⪸A58⇷⫖↰⪸1828↙(↔⫖↰⪸1804))∸)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24339,"operation_count":11,"complexity_ratio":2212.6363636363635,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_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":2542,"base":12},"right_expr":{"type":"numeric_atoms","value":1701,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5803,"base":12},"right_expr":{"type":"numeric_atoms","value":5141,"base":12}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1508,"base":12},"right_expr":{"type":"numeric_atoms","value":2912,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2884,"base":12}}}}},"used_operators":["TpPTUOHfaN","AHs5Up7iyr","uFcxV4UQCh","megm06wKyl","k8jYdgA6NY","Tw270M8GLb","o20kRiQErp","yyfyN0ffXY","mp7IySMOzn","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","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 = 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=2542","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=2542, right_input=1701, op_id = k8jYdgA6NY binary_op_definition= 'None', output=841","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=841, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=820","layer":2},{"info":"number node, value=5803","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=5803, right_input=5141, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=820, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2912, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5824","layer":3},{"info":"number node, value=2884","layer":4},{"info":"compute unary expreesion, input=2884, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2611","layer":3},{"info":"compute binary expreesion, left_input=5824, right_input=-2611, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7833","layer":2},{"info":"compute unary expreesion, input=-7833, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 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":"((⨈⫕⫖↰⪸7B6)⪛(⫖↰⪸157A%⫖↰⪸B99))≹⇙⪍(⨰⫟⨤⫖↰⪸3437≹⇙⪍⫖↰⪸2B85)+⇶⊼((⫖↰⪸A58⇷⫖↰⪸1828↙(↔⫖↰⪸1804))∸)=NaN","reverse_text":"NaN=((⨈⫕⫖↰⪸7B6)⪛(⫖↰⪸157A%⫖↰⪸B99))≹⇙⪍(⨰⫟⨤⫖↰⪸3437≹⇙⪍⫖↰⪸2B85)+⇶⊼((⫖↰⪸A58⇷⫖↰⪸1828↙(↔⫖↰⪸1804))∸)","cot":[{"info":"⨈⫕⫖↰⪸7B6=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸157A%⫖↰⪸B99=⫖↰⪸5A1","layer":3},{"info":"⫖↰⪸-19⪛⫖↰⪸5A1=⫖↰⪸584","layer":2},{"info":"⫖↰⪸3437≹⇙⪍⫖↰⪸2B85=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⫖↰⪸584≹⇙⪍NaN=NaN","layer":1},{"info":"⫖↰⪸A58⇷⫖↰⪸1828=⫖↰⪸3454","layer":3},{"info":"↔⫖↰⪸1804=⫖↰⪸-1617","layer":3},{"info":"⫖↰⪸3454↙⫖↰⪸-1617=⫖↰⪸-4649","layer":2},{"info":"⫖↰⪸-4649∸=⫖↰⪸129","layer":1},{"info":"NaN+⇶⊼⫖↰⪸129=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"(↔($6837$⋥≓≎$1980$))⪮%⊝(⨑⩽⪐($5049$⪄$7032$))↛⩡⫤","expression":"(↔(⫖↰⪸3B59⋥≓≎⫖↰⪸1190))⪮%⊝(⨑⩽⪐(⫖↰⪸2B09⪄⫖↰⪸40A0))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":391,"operation_count":6,"complexity_ratio":65.16666666666667,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6837,"base":12},"right_expr":{"type":"numeric_atoms","value":1980,"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":7032,"base":12}}}}},"used_operators":["FU0Cs4j7VP","IWmyXbctLI","ruOEQAzv1W","Qy55tPpLXF","AF7qkfDlqP","SUmda5xLS4"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-1B21","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6837","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=1980, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2844","layer":3},{"info":"compute unary expreesion, input=-2844, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=5049","layer":4},{"info":"number node, value=7032","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=7032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-771469","layer":3},{"info":"compute unary expreesion, input=-771469, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1543727","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1543727, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=48","layer":1},{"info":"compute unary expreesion, input=48, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-3337","layer":0}],"base":12,"result_base":12,"text":"(↔(⫖↰⪸3B59⋥≓≎⫖↰⪸1190))⪮%⊝(⨑⩽⪐(⫖↰⪸2B09⪄⫖↰⪸40A0))↛⩡⫤=⫖↰⪸-1B21","reverse_text":"⫖↰⪸-1B21=(↔(⫖↰⪸3B59⋥≓≎⫖↰⪸1190))⪮%⊝(⨑⩽⪐(⫖↰⪸2B09⪄⫖↰⪸40A0))↛⩡⫤","cot":[{"info":"⫖↰⪸3B59⋥≓≎⫖↰⪸1190=⫖↰⪸-1790","layer":3},{"info":"↔⫖↰⪸-1790=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸2B09⪄⫖↰⪸40A0=⫖↰⪸-312551","layer":3},{"info":"⨑⩽⪐⫖↰⪸-312551=⫖↰⪸62543B","layer":2},{"info":"⫖↰⪸-B2⪮%⊝⫖↰⪸62543B=⫖↰⪸40","layer":1},{"info":"⫖↰⪸40↛⩡⫤=⫖↰⪸-1B21","layer":0}]}
{"id":599,"expression_no_base_symbol":"(($1355$⪨≂$1993$)+⇶⊼$1229$⨟⋌⩍$2037$)⇷($1018$⪢$1312$⪄(⨵≀≌$4829$))⫡⨏(($2470$⫌⩹⨱)⋷$5039$-$2148$)⨎(⊄⩳↩(∥⊫$5066$))","expression":"((⫖↰⪸94B⪨≂⫖↰⪸11A1)+⇶⊼⫖↰⪸865⨟⋌⩍⫖↰⪸1219)⇷(⫖↰⪸70A⪢⫖↰⪸914⪄(⨵≀≌⫖↰⪸2965))⫡⨏((⫖↰⪸151A⫌⩹⨱)⋷⫖↰⪸2ABB-⫖↰⪸12B0)⨎(⊄⩳↩(∥⊫⫖↰⪸2B22))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1376,"operation_count":14,"complexity_ratio":98.28571428571429,"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":1355,"base":12},"right_expr":{"type":"numeric_atoms","value":1993,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1229,"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":1018,"base":12},"right_expr":{"type":"numeric_atoms","value":1312,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4829,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2470,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5039,"base":12},"right_expr":{"type":"numeric_atoms","value":2148,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5066,"base":12}}}}},"used_operators":["QMFrweE19q","mp7IySMOzn","TpPTUOHfaN","sdazOOVcIp","rGHVDoGpnC","SUmda5xLS4","dWAJyo7jo9","srAu1WTS94","rJVOvQCfKK","23Mk6UjR3U","EBcxylXtPf","rysDP5nf3Z","8w2t5hMYqp","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2A61","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1993, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1174","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=2037, 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=-1174, 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=1018","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1312, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=4829","layer":4},{"info":"compute unary expreesion, input=4829, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14487","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14487, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7958","layer":1},{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6341","layer":3},{"info":"number node, value=5039","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=5039, right_input=2148, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2891","layer":3},{"info":"compute binary expreesion, left_input=6341, right_input=2891, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-559","layer":2},{"info":"number node, value=5066","layer":4},{"info":"compute unary expreesion, input=5066, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5934","layer":3},{"info":"compute unary expreesion, input=5934, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17802","layer":2},{"info":"compute binary expreesion, left_input=-559, right_input=-17802, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-17802","layer":1},{"info":"compute binary expreesion, left_input=7958, right_input=-17802, 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=4969","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸94B⪨≂⫖↰⪸11A1)+⇶⊼⫖↰⪸865⨟⋌⩍⫖↰⪸1219)⇷(⫖↰⪸70A⪢⫖↰⪸914⪄(⨵≀≌⫖↰⪸2965))⫡⨏((⫖↰⪸151A⫌⩹⨱)⋷⫖↰⪸2ABB-⫖↰⪸12B0)⨎(⊄⩳↩(∥⊫⫖↰⪸2B22))=⫖↰⪸2A61","reverse_text":"⫖↰⪸2A61=((⫖↰⪸94B⪨≂⫖↰⪸11A1)+⇶⊼⫖↰⪸865⨟⋌⩍⫖↰⪸1219)⇷(⫖↰⪸70A⪢⫖↰⪸914⪄(⨵≀≌⫖↰⪸2965))⫡⨏((⫖↰⪸151A⫌⩹⨱)⋷⫖↰⪸2ABB-⫖↰⪸12B0)⨎(⊄⩳↩(∥⊫⫖↰⪸2B22))","cot":[{"info":"⫖↰⪸94B⪨≂⫖↰⪸11A1=⫖↰⪸-81A","layer":3},{"info":"⫖↰⪸865⨟⋌⩍⫖↰⪸1219=NaN","layer":3},{"info":"⫖↰⪸-81A+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸70A⪢⫖↰⪸914=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸2965=⫖↰⪸-8473","layer":3},{"info":"NaN⪄⫖↰⪸-8473=⫖↰⪸2377","layer":2},{"info":"NaN⇷⫖↰⪸2377=⫖↰⪸4732","layer":1},{"info":"⫖↰⪸151A⫌⩹⨱=⫖↰⪸3805","layer":3},{"info":"⫖↰⪸2ABB-⫖↰⪸12B0=⫖↰⪸180B","layer":3},{"info":"⫖↰⪸3805⋷⫖↰⪸180B=⫖↰⪸-3A7","layer":2},{"info":"∥⊫⫖↰⪸2B22=⫖↰⪸3526","layer":3},{"info":"⊄⩳↩⫖↰⪸3526=⫖↰⪸-A376","layer":2},{"info":"⫖↰⪸-3A7⨎⫖↰⪸-A376=⫖↰⪸-A376","layer":1},{"info":"⫖↰⪸4732⫡⨏⫖↰⪸-A376=⫖↰⪸2A61","layer":0}]}
{"id":600,"expression_no_base_symbol":"(($2375$⋝⋈⪟$8201$)≹⇙⪍($2652$⪮%⊝$2327$)⨁⊸⫻)⊉≛↸($6352$*$3291$⫡⨏$3410$⨳⩥⨓$5328$)≹⇙⪍(↣≠⋷($1959$∀⇚≩$4721$))","expression":"((⫖↰⪸145B⋝⋈⪟⫖↰⪸48B5)≹⇙⪍(⫖↰⪸1650⪮%⊝⫖↰⪸141B)⨁⊸⫻)⊉≛↸(⫖↰⪸3814*⫖↰⪸1AA3⫡⨏⫖↰⪸1B82⨳⩥⨓⫖↰⪸3100)≹⇙⪍(↣≠⋷(⫖↰⪸1173∀⇚≩⫖↰⪸2895))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17034,"operation_count":11,"complexity_ratio":1548.5454545454545,"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":2375,"base":12},"right_expr":{"type":"numeric_atoms","value":8201,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2652,"base":12},"right_expr":{"type":"numeric_atoms","value":2327,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6352,"base":12},"right_expr":{"type":"numeric_atoms","value":3291,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3410,"base":12},"right_expr":{"type":"numeric_atoms","value":5328,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1959,"base":12},"right_expr":{"type":"numeric_atoms","value":4721,"base":12}}}}},"used_operators":["DZ8iAZOCBD","glklzrTFfD","AHs5Up7iyr","2DDjHMKMc0","IWmyXbctLI","QMFrweE19q","9HNa5Wba9A","nCS4ZIUYfx","Asc51vEJeQ","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2375","layer":4},{"info":"number node, value=8201","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=8201, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2375","layer":3},{"info":"number node, value=2652","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=2327, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5620","layer":3},{"info":"compute binary expreesion, left_input=2375, right_input=5620, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=6352","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=6352, right_input=3291, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20904432","layer":3},{"info":"number node, value=3410","layer":4},{"info":"number node, value=5328","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=5328, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1918","layer":3},{"info":"compute binary expreesion, left_input=20904432, right_input=1918, 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=104526779","layer":2},{"info":"number node, value=1959","layer":4},{"info":"number node, value=4721","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=4721, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=104526779, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⫖↰⪸145B⋝⋈⪟⫖↰⪸48B5)≹⇙⪍(⫖↰⪸1650⪮%⊝⫖↰⪸141B)⨁⊸⫻)⊉≛↸(⫖↰⪸3814*⫖↰⪸1AA3⫡⨏⫖↰⪸1B82⨳⩥⨓⫖↰⪸3100)≹⇙⪍(↣≠⋷(⫖↰⪸1173∀⇚≩⫖↰⪸2895))=NaN","reverse_text":"NaN=((⫖↰⪸145B⋝⋈⪟⫖↰⪸48B5)≹⇙⪍(⫖↰⪸1650⪮%⊝⫖↰⪸141B)⨁⊸⫻)⊉≛↸(⫖↰⪸3814*⫖↰⪸1AA3⫡⨏⫖↰⪸1B82⨳⩥⨓⫖↰⪸3100)≹⇙⪍(↣≠⋷(⫖↰⪸1173∀⇚≩⫖↰⪸2895))","cot":[{"info":"⫖↰⪸145B⋝⋈⪟⫖↰⪸48B5=⫖↰⪸145B","layer":3},{"info":"⫖↰⪸1650⪮%⊝⫖↰⪸141B=⫖↰⪸3304","layer":3},{"info":"⫖↰⪸145B≹⇙⪍⫖↰⪸3304=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⫖↰⪸3814*⫖↰⪸1AA3=⫖↰⪸7001580","layer":3},{"info":"⫖↰⪸1B82⨳⩥⨓⫖↰⪸3100=⫖↰⪸113A","layer":3},{"info":"⫖↰⪸7001580⫡⨏⫖↰⪸113A=⫖↰⪸2B00A04B","layer":2},{"info":"⫖↰⪸1173∀⇚≩⫖↰⪸2895=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸2B00A04B≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"(($1345$-$2970$)⊭↱$1738$↙$2085$)⋝⋈⪟($3541$≎⊠⪸$3206$⩨($1667$⋫))⫥∨⫟(($1182$≎⊠⪸$3675$)↬($1641$∲⫓$1394$))⨪↰⇹((⩦⩻⨪$4797$)⇋≉)","expression":"((⫖↰⪸941-⫖↰⪸1876)⊭↱⫖↰⪸100A↙⫖↰⪸1259)⋝⋈⪟(⫖↰⪸2071≎⊠⪸⫖↰⪸1A32⩨(⫖↰⪸B6B⋫))⫥∨⫟((⫖↰⪸826≎⊠⪸⫖↰⪸2163)↬(⫖↰⪸B49∲⫓⫖↰⪸982))⨪↰⇹((⩦⩻⨪⫖↰⪸2939)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4473,"operation_count":14,"complexity_ratio":319.5,"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":2970,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1738,"base":12},"right_expr":{"type":"numeric_atoms","value":2085,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3541,"base":12},"right_expr":{"type":"numeric_atoms","value":3206,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1667,"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":3675,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1641,"base":12},"right_expr":{"type":"numeric_atoms","value":1394,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4797,"base":12}}}}},"used_operators":["KYD54nUTWz","2DDjHMKMc0","COABgblf1C","rysDP5nf3Z","yyfyN0ffXY","2DlMacCsIx","bJkvcejdHO","JL8yIekQnl","tmPS8pqC7x","B5M0gjZbta","i8ToyICDmI","XIabStNQrY","2td37pGCOC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","rJVOvQCfKK","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=2970, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1625","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=2085, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6255","layer":3},{"info":"compute binary expreesion, left_input=-1625, right_input=-6255, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9255","layer":2},{"info":"number node, value=3541","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=3206, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=916646","layer":3},{"info":"number node, value=1667","layer":4},{"info":"compute unary expreesion, input=1667, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1667","layer":3},{"info":"compute binary expreesion, left_input=916646, right_input=1667, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9255, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9255","layer":1},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3675, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=305665","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1394, 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=305665, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4797","layer":4},{"info":"compute unary expreesion, input=4797, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4797","layer":3},{"info":"compute unary expreesion, input=4797, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9496","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9496, 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=-9255, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸941-⫖↰⪸1876)⊭↱⫖↰⪸100A↙⫖↰⪸1259)⋝⋈⪟(⫖↰⪸2071≎⊠⪸⫖↰⪸1A32⩨(⫖↰⪸B6B⋫))⫥∨⫟((⫖↰⪸826≎⊠⪸⫖↰⪸2163)↬(⫖↰⪸B49∲⫓⫖↰⪸982))⨪↰⇹((⩦⩻⨪⫖↰⪸2939)⇋≉)=NaN","reverse_text":"NaN=((⫖↰⪸941-⫖↰⪸1876)⊭↱⫖↰⪸100A↙⫖↰⪸1259)⋝⋈⪟(⫖↰⪸2071≎⊠⪸⫖↰⪸1A32⩨(⫖↰⪸B6B⋫))⫥∨⫟((⫖↰⪸826≎⊠⪸⫖↰⪸2163)↬(⫖↰⪸B49∲⫓⫖↰⪸982))⨪↰⇹((⩦⩻⨪⫖↰⪸2939)⇋≉)","cot":[{"info":"⫖↰⪸941-⫖↰⪸1876=⫖↰⪸-B35","layer":3},{"info":"⫖↰⪸100A↙⫖↰⪸1259=⫖↰⪸-3753","layer":3},{"info":"⫖↰⪸-B35⊭↱⫖↰⪸-3753=⫖↰⪸-5433","layer":2},{"info":"⫖↰⪸2071≎⊠⪸⫖↰⪸1A32=⫖↰⪸382572","layer":3},{"info":"⫖↰⪸B6B⋫=⫖↰⪸B6B","layer":3},{"info":"⫖↰⪸382572⩨⫖↰⪸B6B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-5433⋝⋈⪟⫖↰⪸0=⫖↰⪸-5433","layer":1},{"info":"⫖↰⪸826≎⊠⪸⫖↰⪸2163=⫖↰⪸128A81","layer":3},{"info":"⫖↰⪸B49∲⫓⫖↰⪸982=⫖↰⪸0","layer":3},{"info":"⫖↰⪸128A81↬⫖↰⪸0=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸2939=⫖↰⪸2939","layer":3},{"info":"⫖↰⪸2939⇋≉=⫖↰⪸55B4","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸55B4=NaN","layer":1},{"info":"⫖↰⪸-5433⫥∨⫟NaN=NaN","layer":0}]}
{"id":602,"expression_no_base_symbol":"(≉$1480$⇷$3026$)∼(↔($1918$⩨$2469$))⪘⫢($7130$⪛$1079$∑⇟⊟($1624$⪄$1215$)⨰($7277$⋳⪒$1235$⋳⪒($1008$⫸⊐$1800$)))","expression":"(≉⫖↰⪸A34⇷⫖↰⪸1902)∼(↔(⫖↰⪸113A⩨⫖↰⪸1519))⪘⫢(⫖↰⪸4162⪛⫖↰⪸75B∑⇟⊟(⫖↰⪸B34⪄⫖↰⪸853)⨰(⫖↰⪸4265⋳⪒⫖↰⪸86B⋳⪒(⫖↰⪸700⫸⊐⫖↰⪸1060)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24229,"operation_count":13,"complexity_ratio":1863.7692307692307,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1480,"base":12},"right_expr":{"type":"numeric_atoms","value":3026,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1918,"base":12},"right_expr":{"type":"numeric_atoms","value":2469,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7130,"base":12},"right_expr":{"type":"numeric_atoms","value":1079,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1624,"base":12},"right_expr":{"type":"numeric_atoms","value":1215,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7277,"base":12},"right_expr":{"type":"numeric_atoms","value":1235,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1008,"base":12},"right_expr":{"type":"numeric_atoms","value":1800,"base":12}}}}},"used_operators":["oacrs7FA3X","DyGG3AbaNP","e1ybzncUwg","mp7IySMOzn","ruOEQAzv1W","2DlMacCsIx","eewbuw0ToL","U7g4x0WXJJ","uFcxV4UQCh","SUmda5xLS4","12rbrZMWeM","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=3026, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6052","layer":3},{"info":"compute unary expreesion, input=6052, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6583","layer":2},{"info":"number node, value=1918","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=2469, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=795","layer":2},{"info":"compute binary expreesion, left_input=6583, right_input=795, 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=7130","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=7130, right_input=1079, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=656","layer":3},{"info":"number node, value=1624","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=1215, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-241301","layer":3},{"info":"compute binary expreesion, left_input=656, right_input=-241301, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7277","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=7277, right_input=1235, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13032","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1800, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7075","layer":3},{"info":"compute binary expreesion, left_input=13032, right_input=7075, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=18702","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18702, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸A34⇷⫖↰⪸1902)∼(↔(⫖↰⪸113A⩨⫖↰⪸1519))⪘⫢(⫖↰⪸4162⪛⫖↰⪸75B∑⇟⊟(⫖↰⪸B34⪄⫖↰⪸853)⨰(⫖↰⪸4265⋳⪒⫖↰⪸86B⋳⪒(⫖↰⪸700⫸⊐⫖↰⪸1060)))=NaN","reverse_text":"NaN=(≉⫖↰⪸A34⇷⫖↰⪸1902)∼(↔(⫖↰⪸113A⩨⫖↰⪸1519))⪘⫢(⫖↰⪸4162⪛⫖↰⪸75B∑⇟⊟(⫖↰⪸B34⪄⫖↰⪸853)⨰(⫖↰⪸4265⋳⪒⫖↰⪸86B⋳⪒(⫖↰⪸700⫸⊐⫖↰⪸1060)))","cot":[{"info":"⫖↰⪸A34⇷⫖↰⪸1902=⫖↰⪸3604","layer":3},{"info":"≉⫖↰⪸3604=⫖↰⪸3987","layer":2},{"info":"⫖↰⪸113A⩨⫖↰⪸1519=⫖↰⪸-3","layer":3},{"info":"↔⫖↰⪸-3=⫖↰⪸563","layer":2},{"info":"⫖↰⪸3987∼⫖↰⪸563=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4162⪛⫖↰⪸75B=⫖↰⪸468","layer":3},{"info":"⫖↰⪸B34⪄⫖↰⪸853=⫖↰⪸-B7785","layer":3},{"info":"⫖↰⪸468∑⇟⊟⫖↰⪸-B7785=NaN","layer":2},{"info":"⫖↰⪸4265⋳⪒⫖↰⪸86B=⫖↰⪸7660","layer":3},{"info":"⫖↰⪸700⫸⊐⫖↰⪸1060=⫖↰⪸4117","layer":3},{"info":"⫖↰⪸7660⋳⪒⫖↰⪸4117=⫖↰⪸A9A6","layer":2},{"info":"NaN⨰⫖↰⪸A9A6=NaN","layer":1},{"info":"⫖↰⪸0⪘⫢NaN=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"($3295$⨟⋌⩍$4681$⋥≓≎$1068$⋥≓≎$4213$%$1376$⊴$1064$⪘⫢($2787$⨰$4259$))⋥≓≎(⫛⫱⨽($3293$+⇶⊼$2234$⩚⊴⇥($1822$⨵⪆$1822$)))","expression":"(⫖↰⪸1AA7⨟⋌⩍⫖↰⪸2861⋥≓≎⫖↰⪸750⋥≓≎⫖↰⪸2531%⫖↰⪸968⊴⫖↰⪸748⪘⫢(⫖↰⪸1743⨰⫖↰⪸256B))⋥≓≎(⫛⫱⨽(⫖↰⪸1AA5+⇶⊼⫖↰⪸1362⩚⊴⇥(⫖↰⪸107A⨵⪆⫖↰⪸107A)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2079,"operation_count":12,"complexity_ratio":173.25,"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":3295,"base":12},"right_expr":{"type":"numeric_atoms","value":4681,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1068,"base":12},"right_expr":{"type":"numeric_atoms","value":4213,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1376,"base":12},"right_expr":{"type":"numeric_atoms","value":1064,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2787,"base":12},"right_expr":{"type":"numeric_atoms","value":4259,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3293,"base":12},"right_expr":{"type":"numeric_atoms","value":2234,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1822,"base":12},"right_expr":{"type":"numeric_atoms","value":1822,"base":12}}}}},"used_operators":["Qy55tPpLXF","k8jYdgA6NY","rGHVDoGpnC","oacrs7FA3X","Nsiff2A1zJ","eewbuw0ToL","DlLNRPXxWL","NTOWxs364D","TpPTUOHfaN","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3295","layer":4},{"info":"number node, value=4681","layer":4},{"info":"compute binary expreesion, left_input=3295, right_input=4681, 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=1068","layer":4},{"info":"number node, value=4213","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=4213, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7391","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7391, 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=1376","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1064, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2787","layer":4},{"info":"number node, value=4259","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=4259, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1462","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1462, 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=67, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3293","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=3293, right_input=2234, 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=1822","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=1822, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1AA7⨟⋌⩍⫖↰⪸2861⋥≓≎⫖↰⪸750⋥≓≎⫖↰⪸2531%⫖↰⪸968⊴⫖↰⪸748⪘⫢(⫖↰⪸1743⨰⫖↰⪸256B))⋥≓≎(⫛⫱⨽(⫖↰⪸1AA5+⇶⊼⫖↰⪸1362⩚⊴⇥(⫖↰⪸107A⨵⪆⫖↰⪸107A)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸1AA7⨟⋌⩍⫖↰⪸2861⋥≓≎⫖↰⪸750⋥≓≎⫖↰⪸2531%⫖↰⪸968⊴⫖↰⪸748⪘⫢(⫖↰⪸1743⨰⫖↰⪸256B))⋥≓≎(⫛⫱⨽(⫖↰⪸1AA5+⇶⊼⫖↰⪸1362⩚⊴⇥(⫖↰⪸107A⨵⪆⫖↰⪸107A)))","cot":[{"info":"⫖↰⪸1AA7⨟⋌⩍⫖↰⪸2861=NaN","layer":3},{"info":"⫖↰⪸750⋥≓≎⫖↰⪸2531=⫖↰⪸433B","layer":3},{"info":"NaN⋥≓≎⫖↰⪸433B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸968⊴⫖↰⪸748=NaN","layer":3},{"info":"⫖↰⪸1743⨰⫖↰⪸256B=⫖↰⪸-A1A","layer":3},{"info":"NaN⪘⫢⫖↰⪸-A1A=NaN","layer":2},{"info":"⫖↰⪸57%NaN=NaN","layer":1},{"info":"⫖↰⪸1AA5+⇶⊼⫖↰⪸1362=NaN","layer":3},{"info":"⫖↰⪸107A⨵⪆⫖↰⪸107A=⫖↰⪸114","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸114=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":604,"expression_no_base_symbol":"(⨈⫕$5209$≹⇙⪍$1970$⪮%⊝($1410$⋷$5443$))⨟⋌⩍(($1048$⪘⫢$2079$)≹⇙⪍($1410$∑⇟⊟$1507$)⩚⊴⇥(↔($4275$⩷∴$5158$)))","expression":"(⨈⫕⫖↰⪸3021≹⇙⪍⫖↰⪸1182⪮%⊝(⫖↰⪸996⋷⫖↰⪸3197))⨟⋌⩍((⫖↰⪸734⪘⫢⫖↰⪸1253)≹⇙⪍(⫖↰⪸996∑⇟⊟⫖↰⪸A57)⩚⊴⇥(↔(⫖↰⪸2583⩷∴⫖↰⪸2B9A)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":448,"operation_count":11,"complexity_ratio":40.72727272727273,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5209,"base":12},"right_expr":{"type":"numeric_atoms","value":1970,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":5443,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":2079,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":1507,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4275,"base":12},"right_expr":{"type":"numeric_atoms","value":5158,"base":12}}}}},"used_operators":["rGHVDoGpnC","megm06wKyl","IWmyXbctLI","AHs5Up7iyr","23Mk6UjR3U","NTOWxs364D","oacrs7FA3X","U7g4x0WXJJ","ruOEQAzv1W","9FxExcQeMw"],"dependent_operators":["Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5209","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=1970, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1410","layer":4},{"info":"number node, value=5443","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=5443, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9476","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9476, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2079, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1972","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1507, 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=1972, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4275","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=4275, right_input=5158, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1798","layer":3},{"info":"compute unary expreesion, input=-1798, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕⫖↰⪸3021≹⇙⪍⫖↰⪸1182⪮%⊝(⫖↰⪸996⋷⫖↰⪸3197))⨟⋌⩍((⫖↰⪸734⪘⫢⫖↰⪸1253)≹⇙⪍(⫖↰⪸996∑⇟⊟⫖↰⪸A57)⩚⊴⇥(↔(⫖↰⪸2583⩷∴⫖↰⪸2B9A)))=NaN","reverse_text":"NaN=(⨈⫕⫖↰⪸3021≹⇙⪍⫖↰⪸1182⪮%⊝(⫖↰⪸996⋷⫖↰⪸3197))⨟⋌⩍((⫖↰⪸734⪘⫢⫖↰⪸1253)≹⇙⪍(⫖↰⪸996∑⇟⊟⫖↰⪸A57)⩚⊴⇥(↔(⫖↰⪸2583⩷∴⫖↰⪸2B9A)))","cot":[{"info":"⫖↰⪸3021≹⇙⪍⫖↰⪸1182=NaN","layer":3},{"info":"⫖↰⪸996⋷⫖↰⪸3197=⫖↰⪸5598","layer":3},{"info":"NaN⪮%⊝⫖↰⪸5598=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸734⪘⫢⫖↰⪸1253=⫖↰⪸1184","layer":3},{"info":"⫖↰⪸996∑⇟⊟⫖↰⪸A57=NaN","layer":3},{"info":"⫖↰⪸1184≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸2583⩷∴⫖↰⪸2B9A=⫖↰⪸-105A","layer":3},{"info":"↔⫖↰⪸-105A=⫖↰⪸-B2","layer":2},{"info":"NaN⩚⊴⇥⫖↰⪸-B2=NaN","layer":1},{"info":"⫖↰⪸-19⨟⋌⩍NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"($6430$⇼⇔∾$1376$⩨$1251$⪘⫢$4951$)⫥∨⫟((⩦⩻⨪$1110$)+($9011$⋷$1619$))∲⫓(⊄⩳↩($2214$+⇶⊼$2194$))⊉≛↸(≤/$4132$)⇷($6952$≭$2317$)","expression":"(⫖↰⪸387A⇼⇔∾⫖↰⪸968⩨⫖↰⪸883⪘⫢⫖↰⪸2A47)⫥∨⫟((⩦⩻⨪⫖↰⪸786)+(⫖↰⪸526B⋷⫖↰⪸B2B))∲⫓(⊄⩳↩(⫖↰⪸1346+⇶⊼⫖↰⪸132A))⊉≛↸(≤/⫖↰⪸2484)⇷(⫖↰⪸4034≭⫖↰⪸1411)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51270,"operation_count":14,"complexity_ratio":3662.1428571428573,"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":6430,"base":12},"right_expr":{"type":"numeric_atoms","value":1376,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1251,"base":12},"right_expr":{"type":"numeric_atoms","value":4951,"base":12}}},"right_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":9011,"base":12},"right_expr":{"type":"numeric_atoms","value":1619,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2214,"base":12},"right_expr":{"type":"numeric_atoms","value":2194,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4132,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6952,"base":12},"right_expr":{"type":"numeric_atoms","value":2317,"base":12}}}}},"used_operators":["i8ToyICDmI","KYD54nUTWz","2DlMacCsIx","tifHPKVTfV","oacrs7FA3X","W4YGzv6Whe","2td37pGCOC","23Mk6UjR3U","DZ8iAZOCBD","8w2t5hMYqp","TpPTUOHfaN","mp7IySMOzn","eLAdDNolq6","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6430","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=6430, right_input=1376, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5054","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=4951","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=4951, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2378","layer":3},{"info":"compute binary expreesion, left_input=-5054, right_input=2378, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1110","layer":3},{"info":"number node, value=9011","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=9011, right_input=1619, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5773","layer":3},{"info":"compute binary expreesion, left_input=1110, right_input=-5773, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4663","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-4663, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2214","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=2194, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3648","layer":3},{"info":"number node, value=6952","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=6952, right_input=2317, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3648, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸387A⇼⇔∾⫖↰⪸968⩨⫖↰⪸883⪘⫢⫖↰⪸2A47)⫥∨⫟((⩦⩻⨪⫖↰⪸786)+(⫖↰⪸526B⋷⫖↰⪸B2B))∲⫓(⊄⩳↩(⫖↰⪸1346+⇶⊼⫖↰⪸132A))⊉≛↸(≤/⫖↰⪸2484)⇷(⫖↰⪸4034≭⫖↰⪸1411)=NaN","reverse_text":"NaN=(⫖↰⪸387A⇼⇔∾⫖↰⪸968⩨⫖↰⪸883⪘⫢⫖↰⪸2A47)⫥∨⫟((⩦⩻⨪⫖↰⪸786)+(⫖↰⪸526B⋷⫖↰⪸B2B))∲⫓(⊄⩳↩(⫖↰⪸1346+⇶⊼⫖↰⪸132A))⊉≛↸(≤/⫖↰⪸2484)⇷(⫖↰⪸4034≭⫖↰⪸1411)","cot":[{"info":"⫖↰⪸387A⇼⇔∾⫖↰⪸968=⫖↰⪸-2B12","layer":3},{"info":"⫖↰⪸883⪘⫢⫖↰⪸2A47=⫖↰⪸1462","layer":3},{"info":"⫖↰⪸-2B12⩨⫖↰⪸1462=⫖↰⪸3","layer":2},{"info":"⩦⩻⨪⫖↰⪸786=⫖↰⪸786","layer":3},{"info":"⫖↰⪸526B⋷⫖↰⪸B2B=⫖↰⪸-3411","layer":3},{"info":"⫖↰⪸786+⫖↰⪸-3411=⫖↰⪸-2847","layer":2},{"info":"⫖↰⪸3⫥∨⫟⫖↰⪸-2847=NaN","layer":1},{"info":"⫖↰⪸1346+⇶⊼⫖↰⪸132A=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"≤/⫖↰⪸2484=⫖↰⪸-2140","layer":3},{"info":"⫖↰⪸4034≭⫖↰⪸1411=NaN","layer":3},{"info":"⫖↰⪸-2140⇷NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"(($4526$⫡⨏$1637$)⋝⋈⪟(∥⊫$3044$))⨟⋌⩍(($8174$*$4807$)∑⇟⊟($7889$⨸⪁$3193$))-(↯⪼($3173$⨽$3065$⫡⨏$5241$↺$2714$))","expression":"((⫖↰⪸2752⫡⨏⫖↰⪸B45)⋝⋈⪟(∥⊫⫖↰⪸1918))⨟⋌⩍((⫖↰⪸4892*⫖↰⪸2947)∑⇟⊟(⫖↰⪸4695⨸⪁⫖↰⪸1A21))-(↯⪼(⫖↰⪸1A05⨽⫖↰⪸1935⫡⨏⫖↰⪸3049↺⫖↰⪸16A2))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8031,"operation_count":12,"complexity_ratio":669.25,"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":4526,"base":12},"right_expr":{"type":"numeric_atoms","value":1637,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3044,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8174,"base":12},"right_expr":{"type":"numeric_atoms","value":4807,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7889,"base":12},"right_expr":{"type":"numeric_atoms","value":3193,"base":12}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3173,"base":12},"right_expr":{"type":"numeric_atoms","value":3065,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5241,"base":12},"right_expr":{"type":"numeric_atoms","value":2714,"base":12}}}}},"used_operators":["rysDP5nf3Z","rGHVDoGpnC","2DDjHMKMc0","QMFrweE19q","P8v4zCKN1o","U7g4x0WXJJ","9HNa5Wba9A","g55IO6H4Gj","8jW3W4yZS5","8HhzD0ZcuI","7j4O788W3g"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4526","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=1637, 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=26687","layer":3},{"info":"number node, value=3044","layer":4},{"info":"compute unary expreesion, input=3044, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3912","layer":3},{"info":"compute binary expreesion, left_input=26687, right_input=3912, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=26687","layer":2},{"info":"number node, value=8174","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=8174, right_input=4807, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=39292418","layer":3},{"info":"number node, value=7889","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=7889, right_input=3193, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22164","layer":3},{"info":"compute binary expreesion, left_input=39292418, right_input=22164, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26687, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3173","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=3065, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30211668","layer":3},{"info":"number node, value=5241","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=5241, right_input=2714, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=-30211668, right_input=2714, 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=-151052129","layer":2},{"info":"compute unary expreesion, input=-151052129, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=302103341","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=302103341, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2752⫡⨏⫖↰⪸B45)⋝⋈⪟(∥⊫⫖↰⪸1918))⨟⋌⩍((⫖↰⪸4892*⫖↰⪸2947)∑⇟⊟(⫖↰⪸4695⨸⪁⫖↰⪸1A21))-(↯⪼(⫖↰⪸1A05⨽⫖↰⪸1935⫡⨏⫖↰⪸3049↺⫖↰⪸16A2))=NaN","reverse_text":"NaN=((⫖↰⪸2752⫡⨏⫖↰⪸B45)⋝⋈⪟(∥⊫⫖↰⪸1918))⨟⋌⩍((⫖↰⪸4892*⫖↰⪸2947)∑⇟⊟(⫖↰⪸4695⨸⪁⫖↰⪸1A21))-(↯⪼(⫖↰⪸1A05⨽⫖↰⪸1935⫡⨏⫖↰⪸3049↺⫖↰⪸16A2))","cot":[{"info":"⫖↰⪸2752⫡⨏⫖↰⪸B45=⫖↰⪸1353B","layer":3},{"info":"∥⊫⫖↰⪸1918=⫖↰⪸2320","layer":3},{"info":"⫖↰⪸1353B⋝⋈⪟⫖↰⪸2320=⫖↰⪸1353B","layer":2},{"info":"⫖↰⪸4892*⫖↰⪸2947=⫖↰⪸111AA802","layer":3},{"info":"⫖↰⪸4695⨸⪁⫖↰⪸1A21=⫖↰⪸109B0","layer":3},{"info":"⫖↰⪸111AA802∑⇟⊟⫖↰⪸109B0=NaN","layer":2},{"info":"⫖↰⪸1353B⨟⋌⩍NaN=NaN","layer":1},{"info":"⫖↰⪸1A05⨽⫖↰⪸1935=⫖↰⪸-A14B730","layer":3},{"info":"⫖↰⪸3049↺⫖↰⪸16A2=⫖↰⪸16A2","layer":3},{"info":"⫖↰⪸-A14B730⫡⨏⫖↰⪸16A2=⫖↰⪸-42706515","layer":2},{"info":"↯⪼⫖↰⪸-42706515=⫖↰⪸852103A5","layer":1},{"info":"NaN-⫖↰⪸852103A5=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"∂((-$3826$⩷∴$6833$)⩚⊴⇥$4541$⊴$1363$⪛($2302$↙$2688$))","expression":"∂((-⫖↰⪸226A⩷∴⫖↰⪸3B55)⩚⊴⇥⫖↰⪸2765⊴⫖↰⪸957⪛(⫖↰⪸13BA↙⫖↰⪸1680))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9748,"operation_count":7,"complexity_ratio":1392.5714285714287,"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":3826,"base":12},"right_expr":{"type":"numeric_atoms","value":6833,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4541,"base":12},"right_expr":{"type":"numeric_atoms","value":1363,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2302,"base":12},"right_expr":{"type":"numeric_atoms","value":2688,"base":12}}}}},"used_operators":["Uaa54Peajs","NTOWxs364D","t8gj7n24qd","9FxExcQeMw","uFcxV4UQCh","Nsiff2A1zJ","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3826","layer":4},{"info":"number node, value=6833","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=6833, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6046","layer":3},{"info":"compute unary expreesion, input=-6046, op_id = t8gj7n24qd, unary_op_definition = 'None', output=6046","layer":2},{"info":"number node, value=4541","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=1363, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2302","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=2688, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8064","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8064, 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=6046, 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 = 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":"∂((-⫖↰⪸226A⩷∴⫖↰⪸3B55)⩚⊴⇥⫖↰⪸2765⊴⫖↰⪸957⪛(⫖↰⪸13BA↙⫖↰⪸1680))=NaN","reverse_text":"NaN=∂((-⫖↰⪸226A⩷∴⫖↰⪸3B55)⩚⊴⇥⫖↰⪸2765⊴⫖↰⪸957⪛(⫖↰⪸13BA↙⫖↰⪸1680))","cot":[{"info":"⫖↰⪸226A⩷∴⫖↰⪸3B55=⫖↰⪸-35BA","layer":3},{"info":"-⫖↰⪸-35BA=⫖↰⪸35BA","layer":2},{"info":"⫖↰⪸2765⊴⫖↰⪸957=NaN","layer":3},{"info":"⫖↰⪸13BA↙⫖↰⪸1680=⫖↰⪸-4800","layer":3},{"info":"NaN⪛⫖↰⪸-4800=NaN","layer":2},{"info":"⫖↰⪸35BA⩚⊴⇥NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":608,"expression_no_base_symbol":"↯⪼(($1538$⨪↰⇹$2393$≣⋋)⨽$1368$⨓$1825$⋥≓≎$7752$⋝⋈⪟$2074$)","expression":"↯⪼((⫖↰⪸A82⨪↰⇹⫖↰⪸1475≣⋋)⨽⫖↰⪸960⨓⫖↰⪸1081⋥≓≎⫖↰⪸45A0⋝⋈⪟⫖↰⪸124A)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3929,"operation_count":7,"complexity_ratio":561.2857142857143,"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":1538,"base":12},"right_expr":{"type":"numeric_atoms","value":2393,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1368,"base":12},"right_expr":{"type":"numeric_atoms","value":1825,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7752,"base":12},"right_expr":{"type":"numeric_atoms","value":2074,"base":12}}}}},"used_operators":["8jW3W4yZS5","8HhzD0ZcuI","Tcnh7f0tEr","tmPS8pqC7x","Qy55tPpLXF","3ViojmjbAp","2DDjHMKMc0"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1538","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=2393, 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=1538","layer":3},{"info":"compute unary expreesion, input=1538, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1825, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1828","layer":3},{"info":"number node, value=7752","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=7752, right_input=2074, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7752","layer":3},{"info":"compute binary expreesion, left_input=-1828, right_input=7752, 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=0, right_input=67, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1113","layer":1},{"info":"compute unary expreesion, input=1113, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼((⫖↰⪸A82⨪↰⇹⫖↰⪸1475≣⋋)⨽⫖↰⪸960⨓⫖↰⪸1081⋥≓≎⫖↰⪸45A0⋝⋈⪟⫖↰⪸124A)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼((⫖↰⪸A82⨪↰⇹⫖↰⪸1475≣⋋)⨽⫖↰⪸960⨓⫖↰⪸1081⋥≓≎⫖↰⪸45A0⋝⋈⪟⫖↰⪸124A)","cot":[{"info":"⫖↰⪸A82⨪↰⇹⫖↰⪸1475=⫖↰⪸A82","layer":3},{"info":"⫖↰⪸A82≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸960⨓⫖↰⪸1081=⫖↰⪸-1084","layer":3},{"info":"⫖↰⪸45A0⋝⋈⪟⫖↰⪸124A=⫖↰⪸45A0","layer":3},{"info":"⫖↰⪸-1084⋥≓≎⫖↰⪸45A0=⫖↰⪸57","layer":2},{"info":"⫖↰⪸0⨽⫖↰⪸57=⫖↰⪸789","layer":1},{"info":"↯⪼⫖↰⪸789=⫖↰⪸-19","layer":0}]}
{"id":609,"expression_no_base_symbol":"⨈⫕$1026$∼$1093$⪘⫢(⪝⪂⫅$1605$)↺($2639$⇷$1329$)∀⇚≩($1905$⩨$6459$)","expression":"⨈⫕⫖↰⪸716∼⫖↰⪸771⪘⫢(⪝⪂⫅⫖↰⪸B19)↺(⫖↰⪸163B⇷⫖↰⪸929)∀⇚≩(⫖↰⪸1129⩨⫖↰⪸38A3)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":56133,"operation_count":8,"complexity_ratio":7016.625,"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":1026,"base":12},"right_expr":{"type":"numeric_atoms","value":1093,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1605,"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":1329,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1905,"base":12},"right_expr":{"type":"numeric_atoms","value":6459,"base":12}}}}},"used_operators":["megm06wKyl","7j4O788W3g","oacrs7FA3X","DyGG3AbaNP","XTarYq4gQB","LRNGc0VcxI","mp7IySMOzn","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1093, 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=1605","layer":4},{"info":"compute unary expreesion, input=1605, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-235935","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-235935, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=2639","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=1329, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2658","layer":3},{"info":"number node, value=1905","layer":4},{"info":"number node, value=6459","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=6459, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=2658, right_input=-9, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⨈⫕⫖↰⪸716∼⫖↰⪸771⪘⫢(⪝⪂⫅⫖↰⪸B19)↺(⫖↰⪸163B⇷⫖↰⪸929)∀⇚≩(⫖↰⪸1129⩨⫖↰⪸38A3)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕⫖↰⪸716∼⫖↰⪸771⪘⫢(⪝⪂⫅⫖↰⪸B19)↺(⫖↰⪸163B⇷⫖↰⪸929)∀⇚≩(⫖↰⪸1129⩨⫖↰⪸38A3)","cot":[{"info":"⫖↰⪸716∼⫖↰⪸771=NaN","layer":3},{"info":"⪝⪂⫅⫖↰⪸B19=⫖↰⪸-B4653","layer":3},{"info":"NaN⪘⫢⫖↰⪸-B4653=NaN","layer":2},{"info":"⫖↰⪸163B⇷⫖↰⪸929=⫖↰⪸1656","layer":3},{"info":"⫖↰⪸1129⩨⫖↰⪸38A3=⫖↰⪸-9","layer":3},{"info":"⫖↰⪸1656∀⇚≩⫖↰⪸-9=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
{"id":610,"expression_no_base_symbol":"($1504$∀⇚≩$2615$⋷$1158$⪛$1566$)⫥∨⫟((≤/$1239$)⨽($6498$≋⫹))*(⨰⫟⨤($1009$⪒$2397$)∼(⨰⫟⨤$6373$))","expression":"(⫖↰⪸A54∀⇚≩⫖↰⪸161B⋷⫖↰⪸806⪛⫖↰⪸AA6)⫥∨⫟((≤/⫖↰⪸873)⨽(⫖↰⪸3916≋⫹))*(⨰⫟⨤(⫖↰⪸701⪒⫖↰⪸1479)∼(⨰⫟⨤⫖↰⪸3831))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36209,"operation_count":12,"complexity_ratio":3017.4166666666665,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":2615,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1158,"base":12},"right_expr":{"type":"numeric_atoms","value":1566,"base":12}}},"right_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":6498,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":2397,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6373,"base":12}}}}},"used_operators":["9HNa5Wba9A","KYD54nUTWz","23Mk6UjR3U","LRNGc0VcxI","uFcxV4UQCh","8HhzD0ZcuI","eLAdDNolq6","N41Kp7NANJ","Tw270M8GLb","DyGG3AbaNP","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1504","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=2615, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1158","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1566, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1158, 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=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-755","layer":3},{"info":"number node, value=6498","layer":4},{"info":"compute unary expreesion, input=6498, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12996","layer":3},{"info":"compute binary expreesion, left_input=-755, right_input=-12996, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1669773","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1669773, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2397, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3406","layer":3},{"info":"number node, value=6373","layer":4},{"info":"compute unary expreesion, input=6373, 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=-3406, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A54∀⇚≩⫖↰⪸161B⋷⫖↰⪸806⪛⫖↰⪸AA6)⫥∨⫟((≤/⫖↰⪸873)⨽(⫖↰⪸3916≋⫹))*(⨰⫟⨤(⫖↰⪸701⪒⫖↰⪸1479)∼(⨰⫟⨤⫖↰⪸3831))=NaN","reverse_text":"NaN=(⫖↰⪸A54∀⇚≩⫖↰⪸161B⋷⫖↰⪸806⪛⫖↰⪸AA6)⫥∨⫟((≤/⫖↰⪸873)⨽(⫖↰⪸3916≋⫹))*(⨰⫟⨤(⫖↰⪸701⪒⫖↰⪸1479)∼(⨰⫟⨤⫖↰⪸3831))","cot":[{"info":"⫖↰⪸A54∀⇚≩⫖↰⪸161B=NaN","layer":3},{"info":"⫖↰⪸806⪛⫖↰⪸AA6=⫖↰⪸806","layer":3},{"info":"NaN⋷⫖↰⪸806=NaN","layer":2},{"info":"≤/⫖↰⪸873=⫖↰⪸-52B","layer":3},{"info":"⫖↰⪸3916≋⫹=⫖↰⪸-7630","layer":3},{"info":"⫖↰⪸-52B⨽⫖↰⪸-7630=⫖↰⪸-686379","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸-686379=NaN","layer":1},{"info":"⫖↰⪸701⪒⫖↰⪸1479=⫖↰⪸-1B7A","layer":3},{"info":"⨰⫟⨤⫖↰⪸3831=NaN","layer":3},{"info":"⫖↰⪸-1B7A∼NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"($1902$⪮%⊝$5635$*(≦∁$2751$))⋓((⪲⇎$3622$)%$1294$-$5979$)⪄($3551$⪢$1971$⋷(-$2275$))⩚⊴⇥(($5723$∲⫓$1061$)⨎($2041$∲⫓$2604$))","expression":"(⫖↰⪸1126⪮%⊝⫖↰⪸3317*(≦∁⫖↰⪸1713))⋓((⪲⇎⫖↰⪸211A)%⫖↰⪸8BA-⫖↰⪸3563)⪄(⫖↰⪸207B⪢⫖↰⪸1183⋷(-⫖↰⪸1397))⩚⊴⇥((⫖↰⪸338B∲⫓⫖↰⪸745)⨎(⫖↰⪸1221∲⫓⫖↰⪸1610))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10429,"operation_count":15,"complexity_ratio":695.2666666666667,"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":1902,"base":12},"right_expr":{"type":"numeric_atoms","value":5635,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2751,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3622,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1294,"base":12},"right_expr":{"type":"numeric_atoms","value":5979,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3551,"base":12},"right_expr":{"type":"numeric_atoms","value":1971,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2275,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5723,"base":12},"right_expr":{"type":"numeric_atoms","value":1061,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2041,"base":12},"right_expr":{"type":"numeric_atoms","value":2604,"base":12}}}}},"used_operators":["SUmda5xLS4","T2fj7uvVaJ","9HNa5Wba9A","IWmyXbctLI","9ICcGScMcE","k8jYdgA6NY","XPYlsWDdGa","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","dWAJyo7jo9","t8gj7n24qd","rJVOvQCfKK","i8ToyICDmI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"number node, value=5635","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=5635, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4120","layer":3},{"info":"number node, value=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2751","layer":3},{"info":"compute binary expreesion, left_input=4120, right_input=2751, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11334120","layer":2},{"info":"number node, value=3622","layer":4},{"info":"compute unary expreesion, input=3622, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7244","layer":3},{"info":"number node, value=1294","layer":4},{"info":"number node, value=5979","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=5979, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4685","layer":3},{"info":"compute binary expreesion, left_input=7244, right_input=-4685, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2126","layer":2},{"info":"compute binary expreesion, left_input=11334120, right_input=-2126, 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=3551","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=1971, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2275","layer":4},{"info":"compute unary expreesion, input=2275, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2275","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2275, 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=5723","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=5723, right_input=1061, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2041","layer":4},{"info":"number node, value=2604","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=2604, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1126⪮%⊝⫖↰⪸3317*(≦∁⫖↰⪸1713))⋓((⪲⇎⫖↰⪸211A)%⫖↰⪸8BA-⫖↰⪸3563)⪄(⫖↰⪸207B⪢⫖↰⪸1183⋷(-⫖↰⪸1397))⩚⊴⇥((⫖↰⪸338B∲⫓⫖↰⪸745)⨎(⫖↰⪸1221∲⫓⫖↰⪸1610))=NaN","reverse_text":"NaN=(⫖↰⪸1126⪮%⊝⫖↰⪸3317*(≦∁⫖↰⪸1713))⋓((⪲⇎⫖↰⪸211A)%⫖↰⪸8BA-⫖↰⪸3563)⪄(⫖↰⪸207B⪢⫖↰⪸1183⋷(-⫖↰⪸1397))⩚⊴⇥((⫖↰⪸338B∲⫓⫖↰⪸745)⨎(⫖↰⪸1221∲⫓⫖↰⪸1610))","cot":[{"info":"⫖↰⪸1126⪮%⊝⫖↰⪸3317=⫖↰⪸2474","layer":3},{"info":"≦∁⫖↰⪸1713=⫖↰⪸1713","layer":3},{"info":"⫖↰⪸2474*⫖↰⪸1713=⫖↰⪸3967120","layer":2},{"info":"⪲⇎⫖↰⪸211A=⫖↰⪸4238","layer":3},{"info":"⫖↰⪸8BA-⫖↰⪸3563=⫖↰⪸-2865","layer":3},{"info":"⫖↰⪸4238%⫖↰⪸-2865=⫖↰⪸-1292","layer":2},{"info":"⫖↰⪸3967120⋓⫖↰⪸-1292=⫖↰⪸0","layer":1},{"info":"⫖↰⪸207B⪢⫖↰⪸1183=NaN","layer":3},{"info":"-⫖↰⪸1397=⫖↰⪸-1397","layer":3},{"info":"NaN⋷⫖↰⪸-1397=NaN","layer":2},{"info":"⫖↰⪸338B∲⫓⫖↰⪸745=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1221∲⫓⫖↰⪸1610=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN⩚⊴⇥⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸0⪄NaN=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"(($5290$⨟⋌⩍$9203$)⪮%⊝($1135$≧⫂∧$6733$)⪒$1303$⊴$1921$⨎(⪲⇎$2056$))⇷(≤/(⫓⪴$1434$)⨐⩸⫘$1051$⨓$4743$)","expression":"((⫖↰⪸308A⨟⋌⩍⫖↰⪸53AB)⪮%⊝(⫖↰⪸7A7≧⫂∧⫖↰⪸3A91)⪒⫖↰⪸907⊴⫖↰⪸1141⨎(⪲⇎⫖↰⪸1234))⇷(≤/(⫓⪴⫖↰⪸9B6)⨐⩸⫘⫖↰⪸737⨓⫖↰⪸28B3)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8136,"operation_count":12,"complexity_ratio":678.0,"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":5290,"base":12},"right_expr":{"type":"numeric_atoms","value":9203,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1135,"base":12},"right_expr":{"type":"numeric_atoms","value":6733,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1303,"base":12},"right_expr":{"type":"numeric_atoms","value":1921,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2056,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1434,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":4743,"base":12}}}}},"used_operators":["mp7IySMOzn","f6k1SAg4EE","IWmyXbctLI","rGHVDoGpnC","Ph9nP6C5qx","rJVOvQCfKK","Nsiff2A1zJ","XPYlsWDdGa","eLAdDNolq6","fu6greOZ01","eLxqMNBOBk","3ViojmjbAp"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5290","layer":4},{"info":"number node, value=9203","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=9203, 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=1135","layer":4},{"info":"number node, value=6733","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=6733, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6260, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1303","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=1921, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4112","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4112, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4112","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4112, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2056356","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=4743, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4746","layer":3},{"info":"compute binary expreesion, left_input=2056356, right_input=-4746, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸308A⨟⋌⩍⫖↰⪸53AB)⪮%⊝(⫖↰⪸7A7≧⫂∧⫖↰⪸3A91)⪒⫖↰⪸907⊴⫖↰⪸1141⨎(⪲⇎⫖↰⪸1234))⇷(≤/(⫓⪴⫖↰⪸9B6)⨐⩸⫘⫖↰⪸737⨓⫖↰⪸28B3)=NaN","reverse_text":"NaN=((⫖↰⪸308A⨟⋌⩍⫖↰⪸53AB)⪮%⊝(⫖↰⪸7A7≧⫂∧⫖↰⪸3A91)⪒⫖↰⪸907⊴⫖↰⪸1141⨎(⪲⇎⫖↰⪸1234))⇷(≤/(⫓⪴⫖↰⪸9B6)⨐⩸⫘⫖↰⪸737⨓⫖↰⪸28B3)","cot":[{"info":"⫖↰⪸308A⨟⋌⩍⫖↰⪸53AB=NaN","layer":3},{"info":"⫖↰⪸7A7≧⫂∧⫖↰⪸3A91=⫖↰⪸3758","layer":3},{"info":"NaN⪮%⊝⫖↰⪸3758=NaN","layer":2},{"info":"⫖↰⪸907⊴⫖↰⪸1141=NaN","layer":3},{"info":"⪲⇎⫖↰⪸1234=⫖↰⪸2468","layer":3},{"info":"NaN⨎⫖↰⪸2468=⫖↰⪸2468","layer":2},{"info":"NaN⪒⫖↰⪸2468=NaN","layer":1},{"info":"⫓⪴⫖↰⪸9B6=⫖↰⪸832030","layer":3},{"info":"⫖↰⪸737⨓⫖↰⪸28B3=⫖↰⪸-28B6","layer":3},{"info":"⫖↰⪸832030⨐⩸⫘⫖↰⪸-28B6=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"($3007$≹⇙⪍$7971$∀⇚≩($1702$≧⫂∧$1052$)∲⫓((⊥$3293$)+($1672$∧)))⪛(⋗⩬⋾($1177$⋳⪒$3413$⪄($1261$-$7262$)))","expression":"(⫖↰⪸18A7≹⇙⪍⫖↰⪸4743∀⇚≩(⫖↰⪸B9A≧⫂∧⫖↰⪸738)∲⫓((⊥⫖↰⪸1AA5)+(⫖↰⪸B74∧)))⪛(⋗⩬⋾(⫖↰⪸821⋳⪒⫖↰⪸1B85⪄(⫖↰⪸891-⫖↰⪸4252)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":120,"operation_count":12,"complexity_ratio":10.0,"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":3007,"base":12},"right_expr":{"type":"numeric_atoms","value":7971,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1702,"base":12},"right_expr":{"type":"numeric_atoms","value":1052,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3293,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1672,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1177,"base":12},"right_expr":{"type":"numeric_atoms","value":3413,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":7262,"base":12}}}}},"used_operators":["uFcxV4UQCh","i8ToyICDmI","LRNGc0VcxI","AHs5Up7iyr","Ph9nP6C5qx","W4YGzv6Whe","Q3PJZHRvZv","z63VuFQld9","DpFCA1CohY","SUmda5xLS4","12rbrZMWeM","rysDP5nf3Z"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3007","layer":4},{"info":"number node, value=7971","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=7971, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1702","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=1052, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=579","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=579, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1672","layer":4},{"info":"compute unary expreesion, input=1672, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=1177","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=3413, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1346","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=7262","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=7262, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6001","layer":3},{"info":"compute binary expreesion, left_input=-1346, right_input=-6001, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11937","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11937, 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":"(⫖↰⪸18A7≹⇙⪍⫖↰⪸4743∀⇚≩(⫖↰⪸B9A≧⫂∧⫖↰⪸738)∲⫓((⊥⫖↰⪸1AA5)+(⫖↰⪸B74∧)))⪛(⋗⩬⋾(⫖↰⪸821⋳⪒⫖↰⪸1B85⪄(⫖↰⪸891-⫖↰⪸4252)))=NaN","reverse_text":"NaN=(⫖↰⪸18A7≹⇙⪍⫖↰⪸4743∀⇚≩(⫖↰⪸B9A≧⫂∧⫖↰⪸738)∲⫓((⊥⫖↰⪸1AA5)+(⫖↰⪸B74∧)))⪛(⋗⩬⋾(⫖↰⪸821⋳⪒⫖↰⪸1B85⪄(⫖↰⪸891-⫖↰⪸4252)))","cot":[{"info":"⫖↰⪸18A7≹⇙⪍⫖↰⪸4743=NaN","layer":3},{"info":"⫖↰⪸B9A≧⫂∧⫖↰⪸738=⫖↰⪸403","layer":3},{"info":"NaN∀⇚≩⫖↰⪸403=NaN","layer":2},{"info":"⊥⫖↰⪸1AA5=NaN","layer":3},{"info":"⫖↰⪸B74∧=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⫖↰⪸821⋳⪒⫖↰⪸1B85=⫖↰⪸-942","layer":3},{"info":"⫖↰⪸891-⫖↰⪸4252=⫖↰⪸-3581","layer":3},{"info":"⫖↰⪸-942⪄⫖↰⪸-3581=⫖↰⪸2377","layer":2},{"info":"⋗⩬⋾⫖↰⪸2377=⫖↰⪸-6AA9","layer":1},{"info":"NaN⪛⫖↰⪸-6AA9=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"≤/((∥⊫(↯⪼$1125$))-($6929$*$1881$⫡⨏($2825$≫≃)))","expression":"≤/((∥⊫(↯⪼⫖↰⪸799))-(⫖↰⪸4015*⫖↰⪸1109⫡⨏(⫖↰⪸1775≫≃)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1932,"operation_count":7,"complexity_ratio":276.0,"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":1125,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6929,"base":12},"right_expr":{"type":"numeric_atoms","value":1881,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2825,"base":12}}}}},"used_operators":["eLAdDNolq6","rysDP5nf3Z","P8v4zCKN1o","8jW3W4yZS5","QMFrweE19q","9HNa5Wba9A","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸199B4B1B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=847","layer":2},{"info":"number node, value=6929","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=6929, right_input=1881, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13033449","layer":3},{"info":"number node, value=2825","layer":4},{"info":"compute unary expreesion, input=2825, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7051","layer":3},{"info":"compute binary expreesion, left_input=13033449, right_input=7051, 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=65182130","layer":2},{"info":"compute binary expreesion, left_input=847, right_input=65182130, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-65181283","layer":1},{"info":"compute unary expreesion, input=-65181283, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=65181767","layer":0}],"base":12,"result_base":12,"text":"≤/((∥⊫(↯⪼⫖↰⪸799))-(⫖↰⪸4015*⫖↰⪸1109⫡⨏(⫖↰⪸1775≫≃)))=⫖↰⪸199B4B1B","reverse_text":"⫖↰⪸199B4B1B=≤/((∥⊫(↯⪼⫖↰⪸799))-(⫖↰⪸4015*⫖↰⪸1109⫡⨏(⫖↰⪸1775≫≃)))","cot":[{"info":"↯⪼⫖↰⪸799=⫖↰⪸-19","layer":3},{"info":"∥⊫⫖↰⪸-19=⫖↰⪸5A7","layer":2},{"info":"⫖↰⪸4015*⫖↰⪸1109=⫖↰⪸4446609","layer":3},{"info":"⫖↰⪸1775≫≃=⫖↰⪸40B7","layer":3},{"info":"⫖↰⪸4446609⫡⨏⫖↰⪸40B7=⫖↰⪸199B5182","layer":2},{"info":"⫖↰⪸5A7-⫖↰⪸199B5182=⫖↰⪸-199B4797","layer":1},{"info":"≤/⫖↰⪸-199B4797=⫖↰⪸199B4B1B","layer":0}]}
{"id":615,"expression_no_base_symbol":"(($3792$⫥∨⫟$8485$)⪢(⩦⩻⨪$4936$))≹⇙⪍(∂(⪲⇎$1534$))⋳⪒((($1745$/$9505$)⪐)⇋≉)","expression":"((⫖↰⪸2240⫥∨⫟⫖↰⪸4AB1)⪢(⩦⩻⨪⫖↰⪸2A34))≹⇙⪍(∂(⪲⇎⫖↰⪸A7A))⋳⪒(((⫖↰⪸1015/⫖↰⪸5601)⪐)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5110,"operation_count":10,"complexity_ratio":511.0,"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":3792,"base":12},"right_expr":{"type":"numeric_atoms","value":8485,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4936,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1534,"base":12}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1745,"base":12},"right_expr":{"type":"numeric_atoms","value":9505,"base":12}}}}},"used_operators":["12rbrZMWeM","AHs5Up7iyr","dWAJyo7jo9","KYD54nUTWz","2td37pGCOC","Uaa54Peajs","XPYlsWDdGa","XIabStNQrY","eH2TOUuTDT","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3792","layer":4},{"info":"number node, value=8485","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=8485, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4936","layer":4},{"info":"compute unary expreesion, input=4936, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4936","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4936, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3068","layer":3},{"info":"compute unary expreesion, input=3068, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1745","layer":4},{"info":"number node, value=9505","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=9505, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-98, 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":"((⫖↰⪸2240⫥∨⫟⫖↰⪸4AB1)⪢(⩦⩻⨪⫖↰⪸2A34))≹⇙⪍(∂(⪲⇎⫖↰⪸A7A))⋳⪒(((⫖↰⪸1015/⫖↰⪸5601)⪐)⇋≉)=NaN","reverse_text":"NaN=((⫖↰⪸2240⫥∨⫟⫖↰⪸4AB1)⪢(⩦⩻⨪⫖↰⪸2A34))≹⇙⪍(∂(⪲⇎⫖↰⪸A7A))⋳⪒(((⫖↰⪸1015/⫖↰⪸5601)⪐)⇋≉)","cot":[{"info":"⫖↰⪸2240⫥∨⫟⫖↰⪸4AB1=NaN","layer":3},{"info":"⩦⩻⨪⫖↰⪸2A34=⫖↰⪸2A34","layer":3},{"info":"NaN⪢⫖↰⪸2A34=NaN","layer":2},{"info":"⪲⇎⫖↰⪸A7A=⫖↰⪸1938","layer":3},{"info":"∂⫖↰⪸1938=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫖↰⪸1015/⫖↰⪸5601=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⪐=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":1},{"info":"NaN⋳⪒⫖↰⪸-82=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"⨞⊢($2298$⨪↰⇹$8904$⋝⋈⪟($7085$⩚⊴⇥$1464$)⨸⪁(≦∁$4099$)↺$1774$↬$2083$)","expression":"⨞⊢(⫖↰⪸13B6⨪↰⇹⫖↰⪸51A0⋝⋈⪟(⫖↰⪸4125⩚⊴⇥⫖↰⪸A20)⨸⪁(≦∁⫖↰⪸2457)↺⫖↰⪸103A↬⫖↰⪸1257)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2313,"operation_count":8,"complexity_ratio":289.125,"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":2298,"base":12},"right_expr":{"type":"numeric_atoms","value":8904,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7085,"base":12},"right_expr":{"type":"numeric_atoms","value":1464,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4099,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1774,"base":12},"right_expr":{"type":"numeric_atoms","value":2083,"base":12}}}}},"used_operators":["xUOZtlo3hN","g55IO6H4Gj","2DDjHMKMc0","tmPS8pqC7x","NTOWxs364D","7j4O788W3g","9ICcGScMcE","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2298","layer":4},{"info":"number node, value=8904","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=8904, 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=2298","layer":3},{"info":"number node, value=7085","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=7085, right_input=1464, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8670","layer":3},{"info":"compute binary expreesion, left_input=2298, right_input=-8670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2298","layer":2},{"info":"number node, value=4099","layer":4},{"info":"compute unary expreesion, input=4099, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4099","layer":3},{"info":"number node, value=1774","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=2083, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4099, 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=2298, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨞⊢(⫖↰⪸13B6⨪↰⇹⫖↰⪸51A0⋝⋈⪟(⫖↰⪸4125⩚⊴⇥⫖↰⪸A20)⨸⪁(≦∁⫖↰⪸2457)↺⫖↰⪸103A↬⫖↰⪸1257)=NaN","reverse_text":"NaN=⨞⊢(⫖↰⪸13B6⨪↰⇹⫖↰⪸51A0⋝⋈⪟(⫖↰⪸4125⩚⊴⇥⫖↰⪸A20)⨸⪁(≦∁⫖↰⪸2457)↺⫖↰⪸103A↬⫖↰⪸1257)","cot":[{"info":"⫖↰⪸13B6⨪↰⇹⫖↰⪸51A0=⫖↰⪸13B6","layer":3},{"info":"⫖↰⪸4125⩚⊴⇥⫖↰⪸A20=⫖↰⪸-5026","layer":3},{"info":"⫖↰⪸13B6⋝⋈⪟⫖↰⪸-5026=⫖↰⪸13B6","layer":2},{"info":"≦∁⫖↰⪸2457=⫖↰⪸2457","layer":3},{"info":"⫖↰⪸103A↬⫖↰⪸1257=NaN","layer":3},{"info":"⫖↰⪸2457↺NaN=NaN","layer":2},{"info":"⫖↰⪸13B6⨸⪁NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"↩(↥(($1169$⋷$4257$)⪄(≤/$5862$)))","expression":"↩(↥((⫖↰⪸815⋷⫖↰⪸2569)⪄(≤/⫖↰⪸3486)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20933,"operation_count":5,"complexity_ratio":4186.6,"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":1169,"base":12},"right_expr":{"type":"numeric_atoms","value":4257,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5862,"base":12}}}}},"used_operators":["jLgFTUHLKL","A8NUZmVepG","SUmda5xLS4","23Mk6UjR3U","eLAdDNolq6"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸2718","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=4257, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7345","layer":3},{"info":"number node, value=5862","layer":4},{"info":"compute unary expreesion, input=5862, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5378","layer":3},{"info":"compute binary expreesion, left_input=7345, right_input=-5378, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1061637","layer":2},{"info":"compute unary expreesion, input=-1061637, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":1},{"info":"compute unary expreesion, input=30, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4484","layer":0}],"base":12,"result_base":12,"text":"↩(↥((⫖↰⪸815⋷⫖↰⪸2569)⪄(≤/⫖↰⪸3486)))=⫖↰⪸2718","reverse_text":"⫖↰⪸2718=↩(↥((⫖↰⪸815⋷⫖↰⪸2569)⪄(≤/⫖↰⪸3486)))","cot":[{"info":"⫖↰⪸815⋷⫖↰⪸2569=⫖↰⪸4301","layer":3},{"info":"≤/⫖↰⪸3486=⫖↰⪸-3142","layer":3},{"info":"⫖↰⪸4301⪄⫖↰⪸-3142=⫖↰⪸-432459","layer":2},{"info":"↥⫖↰⪸-432459=⫖↰⪸26","layer":1},{"info":"↩⫖↰⪸26=⫖↰⪸2718","layer":0}]}
{"id":618,"expression_no_base_symbol":"↥($7811$∑⇟⊟$2823$⋳⪒$1092$↬$2003$↛⩡⫤)","expression":"↥(⫖↰⪸462B∑⇟⊟⫖↰⪸1773⋳⪒⫖↰⪸770↬⫖↰⪸11AB↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":73,"operation_count":5,"complexity_ratio":14.6,"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":7811,"base":12},"right_expr":{"type":"numeric_atoms","value":2823,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1092,"base":12},"right_expr":{"type":"numeric_atoms","value":2003,"base":12}}}}},"used_operators":["A8NUZmVepG","FU0Cs4j7VP","12rbrZMWeM","U7g4x0WXJJ","B5M0gjZbta"],"dependent_operators":["k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7811","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=7811, right_input=2823, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2003, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↥(⫖↰⪸462B∑⇟⊟⫖↰⪸1773⋳⪒⫖↰⪸770↬⫖↰⪸11AB↛⩡⫤)=NaN","reverse_text":"NaN=↥(⫖↰⪸462B∑⇟⊟⫖↰⪸1773⋳⪒⫖↰⪸770↬⫖↰⪸11AB↛⩡⫤)","cot":[{"info":"⫖↰⪸462B∑⇟⊟⫖↰⪸1773=NaN","layer":3},{"info":"⫖↰⪸770↬⫖↰⪸11AB=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"(($1031$⪨≂$2393$)⩚⊴⇥$6159$∑⇟⊟$2755$*(($6414$≣⋋)*($1583$⩤)))+⇶⊼((-$4940$)⇷($2496$↺$4649$)*(≦∁$4698$-$1051$))","expression":"((⫖↰⪸71B⪨≂⫖↰⪸1475)⩚⊴⇥⫖↰⪸3693∑⇟⊟⫖↰⪸1717*((⫖↰⪸3866≣⋋)*(⫖↰⪸ABB⩤)))+⇶⊼((-⫖↰⪸2A38)⇷(⫖↰⪸1540↺⫖↰⪸2835)*(≦∁⫖↰⪸2876-⫖↰⪸737))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":73345,"operation_count":14,"complexity_ratio":5238.928571428572,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1031,"base":12},"right_expr":{"type":"numeric_atoms","value":2393,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6159,"base":12},"right_expr":{"type":"numeric_atoms","value":2755,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6414,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1583,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4940,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2496,"base":12},"right_expr":{"type":"numeric_atoms","value":4649,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4698,"base":12},"right_expr":{"type":"numeric_atoms","value":1051,"base":12}}}}},"used_operators":["TpPTUOHfaN","9HNa5Wba9A","NTOWxs364D","sdazOOVcIp","U7g4x0WXJJ","Tcnh7f0tEr","Z2TMIBDE3Q","mp7IySMOzn","t8gj7n24qd","7j4O788W3g","9ICcGScMcE","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2393, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2622","layer":3},{"info":"number node, value=6159","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=6159, right_input=2755, 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=-2622, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=6414","layer":4},{"info":"compute unary expreesion, input=6414, 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=1583","layer":4},{"info":"compute unary expreesion, input=1583, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1583","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1583, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4940","layer":4},{"info":"compute unary expreesion, input=4940, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4940","layer":3},{"info":"number node, value=2496","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=4649, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4649","layer":3},{"info":"compute binary expreesion, left_input=-4940, right_input=4649, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9298","layer":2},{"info":"number node, value=4698","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=4698, right_input=1051, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3647","layer":3},{"info":"compute unary expreesion, input=3647, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3647","layer":2},{"info":"compute binary expreesion, left_input=9298, right_input=3647, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=33909806","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=33909806, 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":"((⫖↰⪸71B⪨≂⫖↰⪸1475)⩚⊴⇥⫖↰⪸3693∑⇟⊟⫖↰⪸1717*((⫖↰⪸3866≣⋋)*(⫖↰⪸ABB⩤)))+⇶⊼((-⫖↰⪸2A38)⇷(⫖↰⪸1540↺⫖↰⪸2835)*(≦∁⫖↰⪸2876-⫖↰⪸737))=NaN","reverse_text":"NaN=((⫖↰⪸71B⪨≂⫖↰⪸1475)⩚⊴⇥⫖↰⪸3693∑⇟⊟⫖↰⪸1717*((⫖↰⪸3866≣⋋)*(⫖↰⪸ABB⩤)))+⇶⊼((-⫖↰⪸2A38)⇷(⫖↰⪸1540↺⫖↰⪸2835)*(≦∁⫖↰⪸2876-⫖↰⪸737))","cot":[{"info":"⫖↰⪸71B⪨≂⫖↰⪸1475=⫖↰⪸-1626","layer":3},{"info":"⫖↰⪸3693∑⇟⊟⫖↰⪸1717=NaN","layer":3},{"info":"⫖↰⪸-1626⩚⊴⇥NaN=NaN","layer":2},{"info":"⫖↰⪸3866≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸ABB⩤=⫖↰⪸-ABB","layer":3},{"info":"⫖↰⪸0*⫖↰⪸-ABB=⫖↰⪸0","layer":2},{"info":"NaN*⫖↰⪸0=NaN","layer":1},{"info":"-⫖↰⪸2A38=⫖↰⪸-2A38","layer":3},{"info":"⫖↰⪸1540↺⫖↰⪸2835=⫖↰⪸2835","layer":3},{"info":"⫖↰⪸-2A38⇷⫖↰⪸2835=⫖↰⪸546A","layer":2},{"info":"⫖↰⪸2876-⫖↰⪸737=⫖↰⪸213B","layer":3},{"info":"≦∁⫖↰⪸213B=⫖↰⪸213B","layer":2},{"info":"⫖↰⪸546A*⫖↰⪸213B=⫖↰⪸B433892","layer":1},{"info":"NaN+⇶⊼⫖↰⪸B433892=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"(($1146$⨽$3445$)≎⊠⪸(⨞⊢$1492$))⨟⋌⩍($1092$⊉≛↸$3769$)⪢($4265$/$4905$)⪄(($2900$∲⫓$2886$+$1272$⨸⪁$3445$)⇋≉)","expression":"((⫖↰⪸7B6⨽⫖↰⪸1BB1)≎⊠⪸(⨞⊢⫖↰⪸A44))⨟⋌⩍(⫖↰⪸770⊉≛↸⫖↰⪸2221)⪢(⫖↰⪸2575/⫖↰⪸2A09)⪄((⫖↰⪸1818∲⫓⫖↰⪸1806+⫖↰⪸8A0⨸⪁⫖↰⪸1BB1)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1272,"operation_count":12,"complexity_ratio":106.0,"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":1146,"base":12},"right_expr":{"type":"numeric_atoms","value":3445,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1492,"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":3769,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4265,"base":12},"right_expr":{"type":"numeric_atoms","value":4905,"base":12}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2900,"base":12},"right_expr":{"type":"numeric_atoms","value":2886,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1272,"base":12},"right_expr":{"type":"numeric_atoms","value":3445,"base":12}}}}},"used_operators":["SUmda5xLS4","rGHVDoGpnC","bJkvcejdHO","8HhzD0ZcuI","xUOZtlo3hN","dWAJyo7jo9","DZ8iAZOCBD","XhwjNDsVaA","XIabStNQrY","W4YGzv6Whe","i8ToyICDmI","g55IO6H4Gj"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-3AB11","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=3445, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3948969","layer":3},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1666","layer":3},{"info":"compute binary expreesion, left_input=-3948969, right_input=-1666, 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=1092","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=3769, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2184","layer":3},{"info":"number node, value=4265","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=4905, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=2184, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=67","layer":1},{"info":"number node, value=2900","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=2886, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=3445, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9434","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9434, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9434","layer":2},{"info":"compute unary expreesion, input=9434, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=18770","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=18770, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-81085","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸7B6⨽⫖↰⪸1BB1)≎⊠⪸(⨞⊢⫖↰⪸A44))⨟⋌⩍(⫖↰⪸770⊉≛↸⫖↰⪸2221)⪢(⫖↰⪸2575/⫖↰⪸2A09)⪄((⫖↰⪸1818∲⫓⫖↰⪸1806+⫖↰⪸8A0⨸⪁⫖↰⪸1BB1)⇋≉)=⫖↰⪸-3AB11","reverse_text":"⫖↰⪸-3AB11=((⫖↰⪸7B6⨽⫖↰⪸1BB1)≎⊠⪸(⨞⊢⫖↰⪸A44))⨟⋌⩍(⫖↰⪸770⊉≛↸⫖↰⪸2221)⪢(⫖↰⪸2575/⫖↰⪸2A09)⪄((⫖↰⪸1818∲⫓⫖↰⪸1806+⫖↰⪸8A0⨸⪁⫖↰⪸1BB1)⇋≉)","cot":[{"info":"⫖↰⪸7B6⨽⫖↰⪸1BB1=⫖↰⪸-13A5349","layer":3},{"info":"⨞⊢⫖↰⪸A44=⫖↰⪸-B6A","layer":3},{"info":"⫖↰⪸-13A5349≎⊠⪸⫖↰⪸-B6A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸770⊉≛↸⫖↰⪸2221=⫖↰⪸1320","layer":3},{"info":"⫖↰⪸2575/⫖↰⪸2A09=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1320⪢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸57⨟⋌⩍⫖↰⪸0=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1818∲⫓⫖↰⪸1806=⫖↰⪸0","layer":3},{"info":"⫖↰⪸8A0⨸⪁⫖↰⪸1BB1=⫖↰⪸5562","layer":3},{"info":"⫖↰⪸0+⫖↰⪸5562=⫖↰⪸5562","layer":2},{"info":"⫖↰⪸5562⇋≉=⫖↰⪸AA42","layer":1},{"info":"⫖↰⪸57⪄⫖↰⪸AA42=⫖↰⪸-3AB11","layer":0}]}
{"id":621,"expression_no_base_symbol":"↩((+⊝⨔$2802$)⋝⋈⪟($1536$⋷$2707$)∲⫓($4706$∲⫓$7147$)⊴(⨈⫕$2738$))","expression":"↩((+⊝⨔⫖↰⪸1756)⋝⋈⪟(⫖↰⪸A80⋷⫖↰⪸1697)∲⫓(⫖↰⪸2882∲⫓⫖↰⪸4177)⊴(⨈⫕⫖↰⪸1702))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":482,"operation_count":8,"complexity_ratio":60.25,"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":2802,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1536,"base":12},"right_expr":{"type":"numeric_atoms","value":2707,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4706,"base":12},"right_expr":{"type":"numeric_atoms","value":7147,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2738,"base":12}}}}},"used_operators":["jLgFTUHLKL","i8ToyICDmI","2DDjHMKMc0","DhbWaqg5eL","23Mk6UjR3U","Nsiff2A1zJ","megm06wKyl"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2802","layer":4},{"info":"compute unary expreesion, input=2802, 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=1536","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2707, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3878","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3878, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1522","layer":2},{"info":"number node, value=4706","layer":4},{"info":"number node, value=7147","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=7147, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2738","layer":4},{"info":"compute unary expreesion, input=2738, 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=0, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↩((+⊝⨔⫖↰⪸1756)⋝⋈⪟(⫖↰⪸A80⋷⫖↰⪸1697)∲⫓(⫖↰⪸2882∲⫓⫖↰⪸4177)⊴(⨈⫕⫖↰⪸1702))=NaN","reverse_text":"NaN=↩((+⊝⨔⫖↰⪸1756)⋝⋈⪟(⫖↰⪸A80⋷⫖↰⪸1697)∲⫓(⫖↰⪸2882∲⫓⫖↰⪸4177)⊴(⨈⫕⫖↰⪸1702))","cot":[{"info":"+⊝⨔⫖↰⪸1756=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸A80⋷⫖↰⪸1697=⫖↰⪸22B2","layer":3},{"info":"⫖↰⪸A6A⋝⋈⪟⫖↰⪸22B2=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸2882∲⫓⫖↰⪸4177=⫖↰⪸0","layer":3},{"info":"⨈⫕⫖↰⪸1702=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸0⊴⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸A6A∲⫓NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"(⋗⩬⋾$4062$⨎$2390$)⋝⋈⪟($1630$≧⫂∧$1400$⪨≂$5071$≧⫂∧$1001$)↺(($5443$⨳⩥⨓$1254$)↬($3639$⪒$3336$)⨁⊸⫻)","expression":"(⋗⩬⋾⫖↰⪸2426⨎⫖↰⪸1472)⋝⋈⪟(⫖↰⪸B3A≧⫂∧⫖↰⪸988⪨≂⫖↰⪸2B27≧⫂∧⫖↰⪸6B5)↺((⫖↰⪸3197⨳⩥⨓⫖↰⪸886)↬(⫖↰⪸2133⪒⫖↰⪸1B20)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24,"operation_count":11,"complexity_ratio":2.1818181818181817,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4062,"base":12},"right_expr":{"type":"numeric_atoms","value":2390,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1630,"base":12},"right_expr":{"type":"numeric_atoms","value":1400,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5071,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5443,"base":12},"right_expr":{"type":"numeric_atoms","value":1254,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3639,"base":12},"right_expr":{"type":"numeric_atoms","value":3336,"base":12}}}}},"used_operators":["7j4O788W3g","2DDjHMKMc0","DpFCA1CohY","rJVOvQCfKK","sdazOOVcIp","Ph9nP6C5qx","glklzrTFfD","B5M0gjZbta","nCS4ZIUYfx","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4062","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=4062, right_input=2390, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2390","layer":3},{"info":"compute unary expreesion, input=2390, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7170","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=1400, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=927","layer":3},{"info":"number node, value=5071","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5071, right_input=1001, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=528","layer":3},{"info":"compute binary expreesion, left_input=927, right_input=528, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=900","layer":2},{"info":"compute binary expreesion, left_input=-7170, right_input=900, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-7170","layer":1},{"info":"number node, value=5443","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=5443, right_input=1254, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4189","layer":3},{"info":"number node, value=3639","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=3336, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6975","layer":3},{"info":"compute binary expreesion, left_input=-4189, right_input=-6975, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7170, 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":"(⋗⩬⋾⫖↰⪸2426⨎⫖↰⪸1472)⋝⋈⪟(⫖↰⪸B3A≧⫂∧⫖↰⪸988⪨≂⫖↰⪸2B27≧⫂∧⫖↰⪸6B5)↺((⫖↰⪸3197⨳⩥⨓⫖↰⪸886)↬(⫖↰⪸2133⪒⫖↰⪸1B20)⨁⊸⫻)=NaN","reverse_text":"NaN=(⋗⩬⋾⫖↰⪸2426⨎⫖↰⪸1472)⋝⋈⪟(⫖↰⪸B3A≧⫂∧⫖↰⪸988⪨≂⫖↰⪸2B27≧⫂∧⫖↰⪸6B5)↺((⫖↰⪸3197⨳⩥⨓⫖↰⪸886)↬(⫖↰⪸2133⪒⫖↰⪸1B20)⨁⊸⫻)","cot":[{"info":"⫖↰⪸2426⨎⫖↰⪸1472=⫖↰⪸1472","layer":3},{"info":"⋗⩬⋾⫖↰⪸1472=⫖↰⪸-4196","layer":2},{"info":"⫖↰⪸B3A≧⫂∧⫖↰⪸988=⫖↰⪸653","layer":3},{"info":"⫖↰⪸2B27≧⫂∧⫖↰⪸6B5=⫖↰⪸380","layer":3},{"info":"⫖↰⪸653⪨≂⫖↰⪸380=⫖↰⪸630","layer":2},{"info":"⫖↰⪸-4196⋝⋈⪟⫖↰⪸630=⫖↰⪸-4196","layer":1},{"info":"⫖↰⪸3197⨳⩥⨓⫖↰⪸886=⫖↰⪸-2511","layer":3},{"info":"⫖↰⪸2133⪒⫖↰⪸1B20=⫖↰⪸-4053","layer":3},{"info":"⫖↰⪸-2511↬⫖↰⪸-4053=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⫖↰⪸-4196↺NaN=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"(⨑⩽⪐($2956$⩠))↺(⨰⫟⨤$7053$)⨽($6116$%$5218$)/((-$1325$)⨳⩥⨓($6135$/$2632$))≧⫂∧(↯⪼(∥⊫$5511$))","expression":"(⨑⩽⪐(⫖↰⪸1864⩠))↺(⨰⫟⨤⫖↰⪸40B9)⨽(⫖↰⪸3658%⫖↰⪸302A)/((-⫖↰⪸925)⨳⩥⨓(⫖↰⪸3673/⫖↰⪸1634))≧⫂∧(↯⪼(∥⊫⫖↰⪸3233))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27453,"operation_count":13,"complexity_ratio":2111.769230769231,"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":2956,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7053,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6116,"base":12},"right_expr":{"type":"numeric_atoms","value":5218,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1325,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6135,"base":12},"right_expr":{"type":"numeric_atoms","value":2632,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5511,"base":12}}}}},"used_operators":["XhwjNDsVaA","7j4O788W3g","AF7qkfDlqP","sJAwomhLZr","8HhzD0ZcuI","Tw270M8GLb","k8jYdgA6NY","Ph9nP6C5qx","nCS4ZIUYfx","t8gj7n24qd","8jW3W4yZS5","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2956","layer":4},{"info":"compute unary expreesion, input=2956, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=7053","layer":4},{"info":"compute unary expreesion, input=7053, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6116","layer":4},{"info":"number node, value=5218","layer":4},{"info":"compute binary expreesion, left_input=6116, right_input=5218, op_id = k8jYdgA6NY binary_op_definition= 'None', output=898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=898, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1325","layer":3},{"info":"number node, value=6135","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=2632, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=-1325, right_input=2, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1327","layer":2},{"info":"number node, value=5511","layer":4},{"info":"compute unary expreesion, input=5511, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6379","layer":3},{"info":"compute unary expreesion, input=6379, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=-21, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-494, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐(⫖↰⪸1864⩠))↺(⨰⫟⨤⫖↰⪸40B9)⨽(⫖↰⪸3658%⫖↰⪸302A)/((-⫖↰⪸925)⨳⩥⨓(⫖↰⪸3673/⫖↰⪸1634))≧⫂∧(↯⪼(∥⊫⫖↰⪸3233))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫖↰⪸1864⩠))↺(⨰⫟⨤⫖↰⪸40B9)⨽(⫖↰⪸3658%⫖↰⪸302A)/((-⫖↰⪸925)⨳⩥⨓(⫖↰⪸3673/⫖↰⪸1634))≧⫂∧(↯⪼(∥⊫⫖↰⪸3233))","cot":[{"info":"⫖↰⪸1864⩠=⫖↰⪸0","layer":3},{"info":"⨑⩽⪐⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"⨰⫟⨤⫖↰⪸40B9=NaN","layer":3},{"info":"⫖↰⪸3658%⫖↰⪸302A=⫖↰⪸62A","layer":3},{"info":"NaN⨽⫖↰⪸62A=NaN","layer":2},{"info":"⫖↰⪸559↺NaN=NaN","layer":1},{"info":"-⫖↰⪸925=⫖↰⪸-925","layer":3},{"info":"⫖↰⪸3673/⫖↰⪸1634=⫖↰⪸2","layer":3},{"info":"⫖↰⪸-925⨳⩥⨓⫖↰⪸2=⫖↰⪸927","layer":2},{"info":"∥⊫⫖↰⪸3233=⫖↰⪸3837","layer":3},{"info":"↯⪼⫖↰⪸3837=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸927≧⫂∧⫖↰⪸-19=⫖↰⪸-352","layer":1},{"info":"NaN/⫖↰⪸-352=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"($3343$⊪)∀⇚≩($1074$⪄$1944$)⋳⪒((∂$2541$)⪐)⫸⊐(∂(⪝⪂⫅($2259$⩨$1824$)))","expression":"(⫖↰⪸1B27⊪)∀⇚≩(⫖↰⪸756⪄⫖↰⪸1160)⋳⪒((∂⫖↰⪸1579)⪐)⫸⊐(∂(⪝⪂⫅(⫖↰⪸1383⩨⫖↰⪸1080)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":568,"operation_count":10,"complexity_ratio":56.8,"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":3343,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1074,"base":12},"right_expr":{"type":"numeric_atoms","value":1944,"base":12}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2541,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2259,"base":12},"right_expr":{"type":"numeric_atoms","value":1824,"base":12}}}}},"used_operators":["mqXw5SEYmG","12rbrZMWeM","LRNGc0VcxI","zVYPLywUTj","SUmda5xLS4","eH2TOUuTDT","Uaa54Peajs","XTarYq4gQB","2DlMacCsIx"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3343","layer":4},{"info":"compute unary expreesion, input=3343, 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=1074","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=1944, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-162817","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-162817, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-162817","layer":2},{"info":"number node, value=2541","layer":4},{"info":"compute unary expreesion, input=2541, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-162817, 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=2259","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=1824, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-264, 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":"(⫖↰⪸1B27⊪)∀⇚≩(⫖↰⪸756⪄⫖↰⪸1160)⋳⪒((∂⫖↰⪸1579)⪐)⫸⊐(∂(⪝⪂⫅(⫖↰⪸1383⩨⫖↰⪸1080)))=NaN","reverse_text":"NaN=(⫖↰⪸1B27⊪)∀⇚≩(⫖↰⪸756⪄⫖↰⪸1160)⋳⪒((∂⫖↰⪸1579)⪐)⫸⊐(∂(⪝⪂⫅(⫖↰⪸1383⩨⫖↰⪸1080)))","cot":[{"info":"⫖↰⪸1B27⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸756⪄⫖↰⪸1160=⫖↰⪸-7A281","layer":3},{"info":"⫖↰⪸0∀⇚≩⫖↰⪸-7A281=⫖↰⪸-7A281","layer":2},{"info":"∂⫖↰⪸1579=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⫖↰⪸-7A281⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸1383⩨⫖↰⪸1080=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"∂⫖↰⪸0=⫖↰⪸-1A0","layer":1},{"info":"NaN⫸⊐⫖↰⪸-1A0=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"⪝⪂⫅(((⨞⊢$7088$)/($3010$⇋≉))⊉≛↸$1413$⋝⋈⪟$5878$⋓(↽≂$1998$))","expression":"⪝⪂⫅(((⨞⊢⫖↰⪸4128)/(⫖↰⪸18AA⇋≉))⊉≛↸⫖↰⪸999⋝⋈⪟⫖↰⪸349A⋓(↽≂⫖↰⪸11A6))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":34,"operation_count":8,"complexity_ratio":4.25,"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":7088,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3010,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1413,"base":12},"right_expr":{"type":"numeric_atoms","value":5878,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1998,"base":12}}}}},"used_operators":["XTarYq4gQB","DZ8iAZOCBD","XhwjNDsVaA","xUOZtlo3hN","XIabStNQrY","T2fj7uvVaJ","2DDjHMKMc0","u6S6b8DprG"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸410","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7088","layer":4},{"info":"compute unary expreesion, input=7088, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7262","layer":3},{"info":"number node, value=3010","layer":4},{"info":"compute unary expreesion, input=3010, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5922","layer":3},{"info":"compute binary expreesion, left_input=-7262, right_input=5922, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=1413","layer":4},{"info":"number node, value=5878","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=5878, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1413","layer":3},{"info":"number node, value=1998","layer":4},{"info":"compute unary expreesion, input=1998, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3996","layer":3},{"info":"compute binary expreesion, left_input=1413, right_input=-3996, 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=-2, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4","layer":1},{"info":"compute unary expreesion, input=-4, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=588","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(((⨞⊢⫖↰⪸4128)/(⫖↰⪸18AA⇋≉))⊉≛↸⫖↰⪸999⋝⋈⪟⫖↰⪸349A⋓(↽≂⫖↰⪸11A6))=⫖↰⪸410","reverse_text":"⫖↰⪸410=⪝⪂⫅(((⨞⊢⫖↰⪸4128)/(⫖↰⪸18AA⇋≉))⊉≛↸⫖↰⪸999⋝⋈⪟⫖↰⪸349A⋓(↽≂⫖↰⪸11A6))","cot":[{"info":"⨞⊢⫖↰⪸4128=⫖↰⪸-4252","layer":3},{"info":"⫖↰⪸18AA⇋≉=⫖↰⪸3516","layer":3},{"info":"⫖↰⪸-4252/⫖↰⪸3516=⫖↰⪸-2","layer":2},{"info":"⫖↰⪸999⋝⋈⪟⫖↰⪸349A=⫖↰⪸999","layer":3},{"info":"↽≂⫖↰⪸11A6=⫖↰⪸-2390","layer":3},{"info":"⫖↰⪸999⋓⫖↰⪸-2390=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-2⊉≛↸⫖↰⪸0=⫖↰⪸-4","layer":1},{"info":"⪝⪂⫅⫖↰⪸-4=⫖↰⪸410","layer":0}]}
{"id":626,"expression_no_base_symbol":"($4366$⊉≛↸$1239$-(+⊝⨔$2612$))∀⇚≩($3893$⫥∨⫟$3792$⪨≂$5090$⩚⊴⇥$4021$)≧⫂∧(+⊝⨔((-$2498$)⪨≂($1633$⋷$3293$)))","expression":"(⫖↰⪸263A⊉≛↸⫖↰⪸873-(+⊝⨔⫖↰⪸1618))∀⇚≩(⫖↰⪸2305⫥∨⫟⫖↰⪸2240⪨≂⫖↰⪸2B42⩚⊴⇥⫖↰⪸23B1)≧⫂∧(+⊝⨔((-⫖↰⪸1542)⪨≂(⫖↰⪸B41⋷⫖↰⪸1AA5)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50705,"operation_count":12,"complexity_ratio":4225.416666666667,"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":4366,"base":12},"right_expr":{"type":"numeric_atoms","value":1239,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2612,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3893,"base":12},"right_expr":{"type":"numeric_atoms","value":3792,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5090,"base":12},"right_expr":{"type":"numeric_atoms","value":4021,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2498,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1633,"base":12},"right_expr":{"type":"numeric_atoms","value":3293,"base":12}}}}},"used_operators":["Ph9nP6C5qx","LRNGc0VcxI","rysDP5nf3Z","DZ8iAZOCBD","DhbWaqg5eL","sdazOOVcIp","KYD54nUTWz","NTOWxs364D","t8gj7n24qd","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸735","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4366","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1239, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8732","layer":3},{"info":"number node, value=2612","layer":4},{"info":"compute unary expreesion, input=2612, 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=8732, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7210","layer":2},{"info":"number node, value=3893","layer":4},{"info":"number node, value=3792","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=3792, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5090","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=5090, right_input=4021, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9232","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9232, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7210, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2498","layer":4},{"info":"compute unary expreesion, input=2498, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2498","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=3293, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4953","layer":3},{"info":"compute binary expreesion, left_input=-2498, right_input=4953, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14800","layer":2},{"info":"compute unary expreesion, input=-14800, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1049","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸263A⊉≛↸⫖↰⪸873-(+⊝⨔⫖↰⪸1618))∀⇚≩(⫖↰⪸2305⫥∨⫟⫖↰⪸2240⪨≂⫖↰⪸2B42⩚⊴⇥⫖↰⪸23B1)≧⫂∧(+⊝⨔((-⫖↰⪸1542)⪨≂(⫖↰⪸B41⋷⫖↰⪸1AA5)))=⫖↰⪸735","reverse_text":"⫖↰⪸735=(⫖↰⪸263A⊉≛↸⫖↰⪸873-(+⊝⨔⫖↰⪸1618))∀⇚≩(⫖↰⪸2305⫥∨⫟⫖↰⪸2240⪨≂⫖↰⪸2B42⩚⊴⇥⫖↰⪸23B1)≧⫂∧(+⊝⨔((-⫖↰⪸1542)⪨≂(⫖↰⪸B41⋷⫖↰⪸1AA5)))","cot":[{"info":"⫖↰⪸263A⊉≛↸⫖↰⪸873=⫖↰⪸5078","layer":3},{"info":"+⊝⨔⫖↰⪸1618=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸5078-⫖↰⪸A6A=⫖↰⪸420A","layer":2},{"info":"⫖↰⪸2305⫥∨⫟⫖↰⪸2240=NaN","layer":3},{"info":"⫖↰⪸2B42⩚⊴⇥⫖↰⪸23B1=⫖↰⪸-5414","layer":3},{"info":"NaN⪨≂⫖↰⪸-5414=NaN","layer":2},{"info":"⫖↰⪸420A∀⇚≩NaN=NaN","layer":1},{"info":"-⫖↰⪸1542=⫖↰⪸-1542","layer":3},{"info":"⫖↰⪸B41⋷⫖↰⪸1AA5=⫖↰⪸2A49","layer":3},{"info":"⫖↰⪸-1542⪨≂⫖↰⪸2A49=⫖↰⪸-8694","layer":2},{"info":"+⊝⨔⫖↰⪸-8694=⫖↰⪸A6A","layer":1},{"info":"NaN≧⫂∧⫖↰⪸A6A=⫖↰⪸735","layer":0}]}
{"id":627,"expression_no_base_symbol":"($8403$⊉≛↸$1083$)≹⇙⪍($2248$∼$1259$)⨟⋌⩍($2238$↺$4028$≣⋋)⪨≂$1330$⋥≓≎$3782$*($2247$∧)⨸⪁($7105$⋷$2327$)⫥∨⫟($1486$⨵⪆$2382$)","expression":"(⫖↰⪸4A43⊉≛↸⫖↰⪸763)≹⇙⪍(⫖↰⪸1374∼⫖↰⪸88B)⨟⋌⩍(⫖↰⪸1366↺⫖↰⪸23B8≣⋋)⪨≂⫖↰⪸92A⋥≓≎⫖↰⪸2232*(⫖↰⪸1373∧)⨸⪁(⫖↰⪸4141⋷⫖↰⪸141B)⫥∨⫟(⫖↰⪸A3A⨵⪆⫖↰⪸1466)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":743,"operation_count":14,"complexity_ratio":53.07142857142857,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8403,"base":12},"right_expr":{"type":"numeric_atoms","value":1083,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2248,"base":12},"right_expr":{"type":"numeric_atoms","value":1259,"base":12}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2238,"base":12},"right_expr":{"type":"numeric_atoms","value":4028,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1330,"base":12},"right_expr":{"type":"numeric_atoms","value":3782,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2247,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7105,"base":12},"right_expr":{"type":"numeric_atoms","value":2327,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1486,"base":12},"right_expr":{"type":"numeric_atoms","value":2382,"base":12}}}}},"used_operators":["sdazOOVcIp","rGHVDoGpnC","AHs5Up7iyr","DZ8iAZOCBD","DyGG3AbaNP","Tcnh7f0tEr","7j4O788W3g","g55IO6H4Gj","9HNa5Wba9A","Qy55tPpLXF","z63VuFQld9","KYD54nUTWz","23Mk6UjR3U","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8403","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=8403, right_input=1083, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16806","layer":3},{"info":"number node, value=2248","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=1259, 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=16806, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2238","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=4028, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4028","layer":3},{"info":"compute unary expreesion, input=4028, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1330","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=3782, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6267","layer":3},{"info":"number node, value=2247","layer":4},{"info":"compute unary expreesion, input=2247, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6267, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=7105","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=7105, right_input=2327, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2451","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=2382, 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=-2451, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":"(⫖↰⪸4A43⊉≛↸⫖↰⪸763)≹⇙⪍(⫖↰⪸1374∼⫖↰⪸88B)⨟⋌⩍(⫖↰⪸1366↺⫖↰⪸23B8≣⋋)⪨≂⫖↰⪸92A⋥≓≎⫖↰⪸2232*(⫖↰⪸1373∧)⨸⪁(⫖↰⪸4141⋷⫖↰⪸141B)⫥∨⫟(⫖↰⪸A3A⨵⪆⫖↰⪸1466)=NaN","reverse_text":"NaN=(⫖↰⪸4A43⊉≛↸⫖↰⪸763)≹⇙⪍(⫖↰⪸1374∼⫖↰⪸88B)⨟⋌⩍(⫖↰⪸1366↺⫖↰⪸23B8≣⋋)⪨≂⫖↰⪸92A⋥≓≎⫖↰⪸2232*(⫖↰⪸1373∧)⨸⪁(⫖↰⪸4141⋷⫖↰⪸141B)⫥∨⫟(⫖↰⪸A3A⨵⪆⫖↰⪸1466)","cot":[{"info":"⫖↰⪸4A43⊉≛↸⫖↰⪸763=⫖↰⪸9886","layer":3},{"info":"⫖↰⪸1374∼⫖↰⪸88B=NaN","layer":3},{"info":"⫖↰⪸9886≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸1366↺⫖↰⪸23B8=⫖↰⪸23B8","layer":3},{"info":"⫖↰⪸23B8≣⋋=⫖↰⪸0","layer":2},{"info":"NaN⨟⋌⩍⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸92A⋥≓≎⫖↰⪸2232=⫖↰⪸3763","layer":3},{"info":"⫖↰⪸1373∧=NaN","layer":3},{"info":"⫖↰⪸3763*NaN=NaN","layer":2},{"info":"⫖↰⪸4141⋷⫖↰⪸141B=⫖↰⪸-1503","layer":3},{"info":"⫖↰⪸A3A⨵⪆⫖↰⪸1466=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-1503⫥∨⫟⫖↰⪸114=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"(($5664$%$4870$)≎⊠⪸($1058$⨐⩸⫘$5926$)⩨(⨵≀≌(⊥$1731$)))⫥∨⫟((⫛⫱⨽(≉$4117$))⨐⩸⫘$9005$⪘⫢$5040$≎⊠⪸(⊙↵-$3735$))","expression":"((⫖↰⪸3340%⫖↰⪸299A)≎⊠⪸(⫖↰⪸742⨐⩸⫘⫖↰⪸351A)⩨(⨵≀≌(⊥⫖↰⪸1003)))⫥∨⫟((⫛⫱⨽(≉⫖↰⪸2471))⨐⩸⫘⫖↰⪸5265⪘⫢⫖↰⪸2B00≎⊠⪸(⊙↵-⫖↰⪸21B3))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5666,"operation_count":13,"complexity_ratio":435.84615384615387,"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":5664,"base":12},"right_expr":{"type":"numeric_atoms","value":4870,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":5926,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1731,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4117,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":9005,"base":12},"right_expr":{"type":"numeric_atoms","value":5040,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3735,"base":12}}}}},"used_operators":["KYD54nUTWz","2DlMacCsIx","bJkvcejdHO","k8jYdgA6NY","fu6greOZ01","srAu1WTS94","Q3PJZHRvZv","DlLNRPXxWL","e1ybzncUwg","oacrs7FA3X","oWn0xqSxBt"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","fu6greOZ01","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5664","layer":4},{"info":"number node, value=4870","layer":4},{"info":"compute binary expreesion, left_input=5664, right_input=4870, op_id = k8jYdgA6NY binary_op_definition= 'None', output=794","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=5926","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=5926, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=794, 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=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"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":1},{"info":"number node, value=4117","layer":4},{"info":"compute unary expreesion, input=4117, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4648","layer":3},{"info":"compute unary expreesion, input=4648, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=9005","layer":4},{"info":"number node, value=5040","layer":4},{"info":"compute binary expreesion, left_input=9005, right_input=5040, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17886","layer":3},{"info":"number node, value=3735","layer":4},{"info":"compute unary expreesion, input=3735, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=17886, right_input=-1, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=4632001","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4632001, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3340%⫖↰⪸299A)≎⊠⪸(⫖↰⪸742⨐⩸⫘⫖↰⪸351A)⩨(⨵≀≌(⊥⫖↰⪸1003)))⫥∨⫟((⫛⫱⨽(≉⫖↰⪸2471))⨐⩸⫘⫖↰⪸5265⪘⫢⫖↰⪸2B00≎⊠⪸(⊙↵-⫖↰⪸21B3))=NaN","reverse_text":"NaN=((⫖↰⪸3340%⫖↰⪸299A)≎⊠⪸(⫖↰⪸742⨐⩸⫘⫖↰⪸351A)⩨(⨵≀≌(⊥⫖↰⪸1003)))⫥∨⫟((⫛⫱⨽(≉⫖↰⪸2471))⨐⩸⫘⫖↰⪸5265⪘⫢⫖↰⪸2B00≎⊠⪸(⊙↵-⫖↰⪸21B3))","cot":[{"info":"⫖↰⪸3340%⫖↰⪸299A=⫖↰⪸562","layer":3},{"info":"⫖↰⪸742⨐⩸⫘⫖↰⪸351A=NaN","layer":3},{"info":"⫖↰⪸562≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⊥⫖↰⪸1003=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⫖↰⪸57⩨NaN=NaN","layer":1},{"info":"≉⫖↰⪸2471=⫖↰⪸2834","layer":3},{"info":"⫛⫱⨽⫖↰⪸2834=⫖↰⪸0","layer":2},{"info":"⫖↰⪸5265⪘⫢⫖↰⪸2B00=⫖↰⪸A426","layer":3},{"info":"⊙↵-⫖↰⪸21B3=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸A426≎⊠⪸⫖↰⪸-1=⫖↰⪸1674681","layer":2},{"info":"⫖↰⪸0⨐⩸⫘⫖↰⪸1674681=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"((⊙↵-$1982$)≹⇙⪍(⫓⪴$3348$)⫡⨏(≦∁$1541$⪘⫢$5487$))⨐⩸⫘($2553$⪒$2653$)⋳⪒($1081$⨐⩸⫘$1868$)⨽($3423$⊉≛↸$1553$⊉≛↸$6292$∀⇚≩$1052$)","expression":"((⊙↵-⫖↰⪸1192)≹⇙⪍(⫓⪴⫖↰⪸1B30)⫡⨏(≦∁⫖↰⪸A85⪘⫢⫖↰⪸3213))⨐⩸⫘(⫖↰⪸1589⪒⫖↰⪸1651)⋳⪒(⫖↰⪸761⨐⩸⫘⫖↰⪸10B8)⨽(⫖↰⪸1B93⊉≛↸⫖↰⪸A95⊉≛↸⫖↰⪸3784∀⇚≩⫖↰⪸738)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49470,"operation_count":14,"complexity_ratio":3533.5714285714284,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1982,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3348,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1541,"base":12},"right_expr":{"type":"numeric_atoms","value":5487,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2553,"base":12},"right_expr":{"type":"numeric_atoms","value":2653,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1081,"base":12},"right_expr":{"type":"numeric_atoms","value":1868,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3423,"base":12},"right_expr":{"type":"numeric_atoms","value":1553,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6292,"base":12},"right_expr":{"type":"numeric_atoms","value":1052,"base":12}}}}},"used_operators":["fu6greOZ01","QMFrweE19q","AHs5Up7iyr","oWn0xqSxBt","eLxqMNBOBk","9ICcGScMcE","oacrs7FA3X","8HhzD0ZcuI","12rbrZMWeM","f6k1SAg4EE","DZ8iAZOCBD","LRNGc0VcxI"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1982","layer":4},{"info":"compute unary expreesion, input=1982, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3348","layer":4},{"info":"compute unary expreesion, input=3348, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11209104","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=11209104, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1541","layer":4},{"info":"number node, value=5487","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=5487, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2958","layer":3},{"info":"compute unary expreesion, input=2958, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2958","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2958, 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=2553","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=2653, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5206","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1868, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-5206, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=3423","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=3423, right_input=1553, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6846","layer":3},{"info":"number node, value=6292","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=6292, right_input=1052, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6846, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13692","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13692, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"((⊙↵-⫖↰⪸1192)≹⇙⪍(⫓⪴⫖↰⪸1B30)⫡⨏(≦∁⫖↰⪸A85⪘⫢⫖↰⪸3213))⨐⩸⫘(⫖↰⪸1589⪒⫖↰⪸1651)⋳⪒(⫖↰⪸761⨐⩸⫘⫖↰⪸10B8)⨽(⫖↰⪸1B93⊉≛↸⫖↰⪸A95⊉≛↸⫖↰⪸3784∀⇚≩⫖↰⪸738)=NaN","reverse_text":"NaN=((⊙↵-⫖↰⪸1192)≹⇙⪍(⫓⪴⫖↰⪸1B30)⫡⨏(≦∁⫖↰⪸A85⪘⫢⫖↰⪸3213))⨐⩸⫘(⫖↰⪸1589⪒⫖↰⪸1651)⋳⪒(⫖↰⪸761⨐⩸⫘⫖↰⪸10B8)⨽(⫖↰⪸1B93⊉≛↸⫖↰⪸A95⊉≛↸⫖↰⪸3784∀⇚≩⫖↰⪸738)","cot":[{"info":"⊙↵-⫖↰⪸1192=⫖↰⪸-1","layer":3},{"info":"⫓⪴⫖↰⪸1B30=⫖↰⪸3906900","layer":3},{"info":"⫖↰⪸-1≹⇙⪍⫖↰⪸3906900=NaN","layer":2},{"info":"⫖↰⪸A85⪘⫢⫖↰⪸3213=⫖↰⪸1866","layer":3},{"info":"≦∁⫖↰⪸1866=⫖↰⪸1866","layer":2},{"info":"NaN⫡⨏⫖↰⪸1866=NaN","layer":1},{"info":"⫖↰⪸1589⪒⫖↰⪸1651=⫖↰⪸-301A","layer":3},{"info":"⫖↰⪸761⨐⩸⫘⫖↰⪸10B8=NaN","layer":3},{"info":"⫖↰⪸-301A⋳⪒NaN=NaN","layer":2},{"info":"⫖↰⪸1B93⊉≛↸⫖↰⪸A95=⫖↰⪸3B66","layer":3},{"info":"⫖↰⪸3784∀⇚≩⫖↰⪸738=NaN","layer":3},{"info":"⫖↰⪸3B66⊉≛↸NaN=⫖↰⪸7B10","layer":2},{"info":"NaN⨽⫖↰⪸7B10=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"⪲⇎(($4597$⩠)↬($3312$⊭↱$6473$))∀⇚≩(⊥($2328$⇷$2427$))","expression":"⪲⇎((⫖↰⪸27B1⩠)↬(⫖↰⪸1B00⊭↱⫖↰⪸38B5))∀⇚≩(⊥(⫖↰⪸1420⇷⫖↰⪸14A3))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":76915,"operation_count":7,"complexity_ratio":10987.857142857143,"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":4597,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3312,"base":12},"right_expr":{"type":"numeric_atoms","value":6473,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2328,"base":12},"right_expr":{"type":"numeric_atoms","value":2427,"base":12}}}}},"used_operators":["XPYlsWDdGa","LRNGc0VcxI","B5M0gjZbta","sJAwomhLZr","COABgblf1C","Q3PJZHRvZv","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4597","layer":4},{"info":"compute unary expreesion, input=4597, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=6473","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=6473, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6327","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6327, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=6327","layer":2},{"info":"number node, value=2328","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=2427, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4854","layer":3},{"info":"compute unary expreesion, input=4854, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6327, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪲⇎((⫖↰⪸27B1⩠)↬(⫖↰⪸1B00⊭↱⫖↰⪸38B5))∀⇚≩(⊥(⫖↰⪸1420⇷⫖↰⪸14A3))=NaN","reverse_text":"NaN=⪲⇎((⫖↰⪸27B1⩠)↬(⫖↰⪸1B00⊭↱⫖↰⪸38B5))∀⇚≩(⊥(⫖↰⪸1420⇷⫖↰⪸14A3))","cot":[{"info":"⫖↰⪸27B1⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1B00⊭↱⫖↰⪸38B5=⫖↰⪸37B3","layer":3},{"info":"⫖↰⪸0↬⫖↰⪸37B3=⫖↰⪸37B3","layer":2},{"info":"⫖↰⪸1420⇷⫖↰⪸14A3=⫖↰⪸2986","layer":3},{"info":"⊥⫖↰⪸2986=NaN","layer":2},{"info":"⫖↰⪸37B3∀⇚≩NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"((⪝⪂⫅$1195$)⨰(⨵≀≌$1852$))≹⇙⪍((≤/$7258$)⋓(⋗⩬⋾$1121$))/($2433$∀⇚≩$2818$⪒($3877$⩠))+⇶⊼(≤/($2478$⩨$2251$))","expression":"((⪝⪂⫅⫖↰⪸837)⨰(⨵≀≌⫖↰⪸10A4))≹⇙⪍((≤/⫖↰⪸424A)⋓(⋗⩬⋾⫖↰⪸795))/(⫖↰⪸14A9∀⇚≩⫖↰⪸176A⪒(⫖↰⪸22B1⩠))+⇶⊼(≤/(⫖↰⪸1526⩨⫖↰⪸1377))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17236,"operation_count":14,"complexity_ratio":1231.142857142857,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1195,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1852,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7258,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1121,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2433,"base":12},"right_expr":{"type":"numeric_atoms","value":2818,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3877,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2478,"base":12},"right_expr":{"type":"numeric_atoms","value":2251,"base":12}}}}},"used_operators":["XhwjNDsVaA","AHs5Up7iyr","eewbuw0ToL","XTarYq4gQB","srAu1WTS94","T2fj7uvVaJ","eLAdDNolq6","DpFCA1CohY","TpPTUOHfaN","f6k1SAg4EE","LRNGc0VcxI","sJAwomhLZr","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-175665","layer":3},{"info":"number node, value=1852","layer":4},{"info":"compute unary expreesion, input=1852, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5556","layer":3},{"info":"compute binary expreesion, left_input=-175665, right_input=-5556, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-170099","layer":2},{"info":"number node, value=7258","layer":4},{"info":"compute unary expreesion, input=7258, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6774","layer":3},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3363","layer":3},{"info":"compute binary expreesion, left_input=-6774, right_input=-3363, 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=-170099, 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=-170099","layer":1},{"info":"number node, value=2433","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=2818, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3877","layer":4},{"info":"compute unary expreesion, input=3877, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2478","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=2251, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=484, 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=-170099, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪝⪂⫅⫖↰⪸837)⨰(⨵≀≌⫖↰⪸10A4))≹⇙⪍((≤/⫖↰⪸424A)⋓(⋗⩬⋾⫖↰⪸795))/(⫖↰⪸14A9∀⇚≩⫖↰⪸176A⪒(⫖↰⪸22B1⩠))+⇶⊼(≤/(⫖↰⪸1526⩨⫖↰⪸1377))=NaN","reverse_text":"NaN=((⪝⪂⫅⫖↰⪸837)⨰(⨵≀≌⫖↰⪸10A4))≹⇙⪍((≤/⫖↰⪸424A)⋓(⋗⩬⋾⫖↰⪸795))/(⫖↰⪸14A9∀⇚≩⫖↰⪸176A⪒(⫖↰⪸22B1⩠))+⇶⊼(≤/(⫖↰⪸1526⩨⫖↰⪸1377))","cot":[{"info":"⪝⪂⫅⫖↰⪸837=⫖↰⪸-857A9","layer":3},{"info":"⨵≀≌⫖↰⪸10A4=⫖↰⪸-3270","layer":3},{"info":"⫖↰⪸-857A9⨰⫖↰⪸-3270=⫖↰⪸-8252B","layer":2},{"info":"≤/⫖↰⪸424A=⫖↰⪸-3B06","layer":3},{"info":"⋗⩬⋾⫖↰⪸795=⫖↰⪸-1B43","layer":3},{"info":"⫖↰⪸-3B06⋓⫖↰⪸-1B43=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-8252B≹⇙⪍⫖↰⪸0=⫖↰⪸-8252B","layer":1},{"info":"⫖↰⪸14A9∀⇚≩⫖↰⪸176A=NaN","layer":3},{"info":"⫖↰⪸22B1⩠=⫖↰⪸0","layer":3},{"info":"NaN⪒⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1526⩨⫖↰⪸1377=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":2},{"info":"NaN+⇶⊼⫖↰⪸344=NaN","layer":1},{"info":"⫖↰⪸-8252B/NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"((↣≠⋷($1214$⋝⋈⪟$2421$))↺($5273$⫸⊐$3814$)∼($1144$⪨≂$5465$))⩚⊴⇥(($1010$⪐)⊭∹↮)⇷($4240$⪮%⊝$6043$+(↥$1625$))","expression":"((↣≠⋷(⫖↰⪸852⋝⋈⪟⫖↰⪸1499))↺(⫖↰⪸3075⫸⊐⫖↰⪸225A)∼(⫖↰⪸7B4⪨≂⫖↰⪸31B5))⩚⊴⇥((⫖↰⪸702⪐)⊭∹↮)⇷(⫖↰⪸2554⪮%⊝⫖↰⪸35B7+(↥⫖↰⪸B35))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56953,"operation_count":13,"complexity_ratio":4381.0,"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":1214,"base":12},"right_expr":{"type":"numeric_atoms","value":2421,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5273,"base":12},"right_expr":{"type":"numeric_atoms","value":3814,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":5465,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1010,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4240,"base":12},"right_expr":{"type":"numeric_atoms","value":6043,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1625,"base":12}}}}},"used_operators":["NTOWxs364D","7j4O788W3g","Asc51vEJeQ","2DDjHMKMc0","DyGG3AbaNP","mqXw5SEYmG","sdazOOVcIp","mp7IySMOzn","xNBdhnnwKq","eH2TOUuTDT","W4YGzv6Whe","IWmyXbctLI","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=2421, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1214","layer":3},{"info":"compute unary expreesion, input=1214, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=5273","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=5273, right_input=3814, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15131","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=5465","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=5465, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8540","layer":3},{"info":"compute binary expreesion, left_input=15131, right_input=-8540, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2020","layer":3},{"info":"compute unary expreesion, input=2020, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4040","layer":2},{"info":"number node, value=4240","layer":4},{"info":"number node, value=6043","layer":4},{"info":"compute binary expreesion, left_input=4240, right_input=6043, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8796","layer":3},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":3},{"info":"compute binary expreesion, left_input=8796, right_input=44, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8840","layer":2},{"info":"compute binary expreesion, left_input=4040, right_input=8840, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17680","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17680, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↣≠⋷(⫖↰⪸852⋝⋈⪟⫖↰⪸1499))↺(⫖↰⪸3075⫸⊐⫖↰⪸225A)∼(⫖↰⪸7B4⪨≂⫖↰⪸31B5))⩚⊴⇥((⫖↰⪸702⪐)⊭∹↮)⇷(⫖↰⪸2554⪮%⊝⫖↰⪸35B7+(↥⫖↰⪸B35))=NaN","reverse_text":"NaN=((↣≠⋷(⫖↰⪸852⋝⋈⪟⫖↰⪸1499))↺(⫖↰⪸3075⫸⊐⫖↰⪸225A)∼(⫖↰⪸7B4⪨≂⫖↰⪸31B5))⩚⊴⇥((⫖↰⪸702⪐)⊭∹↮)⇷(⫖↰⪸2554⪮%⊝⫖↰⪸35B7+(↥⫖↰⪸B35))","cot":[{"info":"⫖↰⪸852⋝⋈⪟⫖↰⪸1499=⫖↰⪸852","layer":3},{"info":"↣≠⋷⫖↰⪸852=NaN","layer":2},{"info":"⫖↰⪸3075⫸⊐⫖↰⪸225A=⫖↰⪸890B","layer":3},{"info":"⫖↰⪸7B4⪨≂⫖↰⪸31B5=⫖↰⪸-4B38","layer":3},{"info":"⫖↰⪸890B∼⫖↰⪸-4B38=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⫖↰⪸702⪐=⫖↰⪸1204","layer":3},{"info":"⫖↰⪸1204⊭∹↮=⫖↰⪸2408","layer":2},{"info":"⫖↰⪸2554⪮%⊝⫖↰⪸35B7=⫖↰⪸5110","layer":3},{"info":"↥⫖↰⪸B35=⫖↰⪸38","layer":3},{"info":"⫖↰⪸5110+⫖↰⪸38=⫖↰⪸5148","layer":2},{"info":"⫖↰⪸2408⇷⫖↰⪸5148=⫖↰⪸A294","layer":1},{"info":"NaN⩚⊴⇥⫖↰⪸A294=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"⫓⪴(($5819$⨰$2611$)⨓($2569$≫≃))∀⇚≩($3478$⨓$2416$≦≮≮)","expression":"⫓⪴((⫖↰⪸344B⨰⫖↰⪸1617)⨓(⫖↰⪸15A1≫≃))∀⇚≩(⫖↰⪸201A⨓⫖↰⪸1494≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54778,"operation_count":7,"complexity_ratio":7825.428571428572,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5819,"base":12},"right_expr":{"type":"numeric_atoms","value":2611,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2569,"base":12}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3478,"base":12},"right_expr":{"type":"numeric_atoms","value":2416,"base":12}}}}},"used_operators":["eLxqMNBOBk","LRNGc0VcxI","3ViojmjbAp","eewbuw0ToL","X99M06cbEe","D4vGDi5EA2"],"dependent_operators":["9HNa5Wba9A","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5819","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=5819, right_input=2611, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3218","layer":3},{"info":"number node, value=2569","layer":4},{"info":"compute unary expreesion, input=2569, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6539","layer":3},{"info":"compute binary expreesion, left_input=3218, right_input=6539, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6542","layer":2},{"info":"number node, value=3478","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=2416, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2419","layer":3},{"info":"compute unary expreesion, input=-2419, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=7257","layer":2},{"info":"compute binary expreesion, left_input=-6542, right_input=7257, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴((⫖↰⪸344B⨰⫖↰⪸1617)⨓(⫖↰⪸15A1≫≃))∀⇚≩(⫖↰⪸201A⨓⫖↰⪸1494≦≮≮)=NaN","reverse_text":"NaN=⫓⪴((⫖↰⪸344B⨰⫖↰⪸1617)⨓(⫖↰⪸15A1≫≃))∀⇚≩(⫖↰⪸201A⨓⫖↰⪸1494≦≮≮)","cot":[{"info":"⫖↰⪸344B⨰⫖↰⪸1617=⫖↰⪸1A42","layer":3},{"info":"⫖↰⪸15A1≫≃=⫖↰⪸394B","layer":3},{"info":"⫖↰⪸1A42⨓⫖↰⪸394B=⫖↰⪸-3952","layer":2},{"info":"⫖↰⪸201A⨓⫖↰⪸1494=⫖↰⪸-1497","layer":3},{"info":"⫖↰⪸-1497≦≮≮=⫖↰⪸4249","layer":2},{"info":"⫖↰⪸-3952∀⇚≩⫖↰⪸4249=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"(↣≠⋷$3168$)≹⇙⪍($1174$∼$4502$)⪛($3508$↬$2023$⊪)⪄(($1034$⨁⊸⫻)⨰(-$1164$))↬($1034$⨟⋌⩍$3398$⪄$3214$⪘⫢$2344$)","expression":"(↣≠⋷⫖↰⪸1A00)≹⇙⪍(⫖↰⪸81A∼⫖↰⪸2732)⪛(⫖↰⪸2044↬⫖↰⪸1207⊪)⪄((⫖↰⪸722⨁⊸⫻)⨰(-⫖↰⪸810))↬(⫖↰⪸722⨟⋌⩍⫖↰⪸1B72⪄⫖↰⪸1A3A⪘⫢⫖↰⪸1434)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":115,"operation_count":14,"complexity_ratio":8.214285714285714,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3168,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1174,"base":12},"right_expr":{"type":"numeric_atoms","value":4502,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3508,"base":12},"right_expr":{"type":"numeric_atoms","value":2023,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1034,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1164,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1034,"base":12},"right_expr":{"type":"numeric_atoms","value":3398,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3214,"base":12},"right_expr":{"type":"numeric_atoms","value":2344,"base":12}}}}},"used_operators":["SUmda5xLS4","uFcxV4UQCh","AHs5Up7iyr","Asc51vEJeQ","DyGG3AbaNP","zVYPLywUTj","B5M0gjZbta","eewbuw0ToL","glklzrTFfD","t8gj7n24qd","rGHVDoGpnC","oacrs7FA3X"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3168","layer":4},{"info":"compute unary expreesion, input=3168, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=4502, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3508","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=3508, right_input=2023, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1034","layer":3},{"info":"number node, value=1164","layer":4},{"info":"compute unary expreesion, input=1164, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1164","layer":3},{"info":"compute binary expreesion, left_input=1034, right_input=-1164, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2208","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3398, 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=3214","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=2344, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6304","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6304, 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=2208, right_input=3979, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":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":"(↣≠⋷⫖↰⪸1A00)≹⇙⪍(⫖↰⪸81A∼⫖↰⪸2732)⪛(⫖↰⪸2044↬⫖↰⪸1207⊪)⪄((⫖↰⪸722⨁⊸⫻)⨰(-⫖↰⪸810))↬(⫖↰⪸722⨟⋌⩍⫖↰⪸1B72⪄⫖↰⪸1A3A⪘⫢⫖↰⪸1434)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(↣≠⋷⫖↰⪸1A00)≹⇙⪍(⫖↰⪸81A∼⫖↰⪸2732)⪛(⫖↰⪸2044↬⫖↰⪸1207⊪)⪄((⫖↰⪸722⨁⊸⫻)⨰(-⫖↰⪸810))↬(⫖↰⪸722⨟⋌⩍⫖↰⪸1B72⪄⫖↰⪸1A3A⪘⫢⫖↰⪸1434)","cot":[{"info":"↣≠⋷⫖↰⪸1A00=NaN","layer":3},{"info":"⫖↰⪸81A∼⫖↰⪸2732=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸2044↬⫖↰⪸1207=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫖↰⪸722⨁⊸⫻=⫖↰⪸722","layer":3},{"info":"-⫖↰⪸810=⫖↰⪸-810","layer":3},{"info":"⫖↰⪸722⨰⫖↰⪸-810=⫖↰⪸1340","layer":2},{"info":"⫖↰⪸722⨟⋌⩍⫖↰⪸1B72=NaN","layer":3},{"info":"⫖↰⪸1A3A⪘⫢⫖↰⪸1434=⫖↰⪸3794","layer":3},{"info":"NaN⪄⫖↰⪸3794=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸1340↬⫖↰⪸2377=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":635,"expression_no_base_symbol":"⊥(↯⪼((⊥$1127$)⫸⊐(⨈⫕$5359$)))","expression":"⊥(↯⪼((⊥⫖↰⪸79B)⫸⊐(⨈⫕⫖↰⪸3127)))","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":989,"operation_count":5,"complexity_ratio":197.8,"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":1127,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5359,"base":12}}}}},"used_operators":["Q3PJZHRvZv","8jW3W4yZS5","mqXw5SEYmG","megm06wKyl"],"dependent_operators":["fu6greOZ01","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸20","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5359","layer":4},{"info":"compute unary expreesion, input=5359, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 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 = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=24","layer":0}],"base":12,"result_base":12,"text":"⊥(↯⪼((⊥⫖↰⪸79B)⫸⊐(⨈⫕⫖↰⪸3127)))=⫖↰⪸20","reverse_text":"⫖↰⪸20=⊥(↯⪼((⊥⫖↰⪸79B)⫸⊐(⨈⫕⫖↰⪸3127)))","cot":[{"info":"⊥⫖↰⪸79B=NaN","layer":3},{"info":"⨈⫕⫖↰⪸3127=⫖↰⪸-19","layer":3},{"info":"NaN⫸⊐⫖↰⪸-19=NaN","layer":2},{"info":"↯⪼NaN=⫖↰⪸-19","layer":1},{"info":"⊥⫖↰⪸-19=⫖↰⪸20","layer":0}]}
{"id":636,"expression_no_base_symbol":"≉(($1003$⫩⊇)⫸⊐($1168$⊉≛↸$4058$))⫥∨⫟(($3770$⫩⊇)⪒(↯⪼$1049$))","expression":"≉((⫖↰⪸6B7⫩⊇)⫸⊐(⫖↰⪸814⊉≛↸⫖↰⪸2422))⫥∨⫟((⫖↰⪸2222⫩⊇)⪒(↯⪼⫖↰⪸735))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":199,"operation_count":8,"complexity_ratio":24.875,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1003,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1168,"base":12},"right_expr":{"type":"numeric_atoms","value":4058,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3770,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1049,"base":12}}}}},"used_operators":["e1ybzncUwg","KYD54nUTWz","mqXw5SEYmG","BjRHVeLaeN","DZ8iAZOCBD","f6k1SAg4EE","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-961","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=4058, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2336","layer":3},{"info":"compute binary expreesion, left_input=-961, right_input=2336, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=3770","layer":4},{"info":"compute unary expreesion, input=3770, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3728","layer":3},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, 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=-3728, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3749","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=3749, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉((⫖↰⪸6B7⫩⊇)⫸⊐(⫖↰⪸814⊉≛↸⫖↰⪸2422))⫥∨⫟((⫖↰⪸2222⫩⊇)⪒(↯⪼⫖↰⪸735))=NaN","reverse_text":"NaN=≉((⫖↰⪸6B7⫩⊇)⫸⊐(⫖↰⪸814⊉≛↸⫖↰⪸2422))⫥∨⫟((⫖↰⪸2222⫩⊇)⪒(↯⪼⫖↰⪸735))","cot":[{"info":"⫖↰⪸6B7⫩⊇=⫖↰⪸-681","layer":3},{"info":"⫖↰⪸814⊉≛↸⫖↰⪸2422=⫖↰⪸1428","layer":3},{"info":"⫖↰⪸-681⫸⊐⫖↰⪸1428=⫖↰⪸688","layer":2},{"info":"⫖↰⪸2222⫩⊇=⫖↰⪸-21A8","layer":3},{"info":"↯⪼⫖↰⪸735=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-21A8⪒⫖↰⪸-19=⫖↰⪸2205","layer":2},{"info":"⫖↰⪸688⫥∨⫟⫖↰⪸2205=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"((⨑⩽⪐($3400$⨵⪆$1316$))%$5523$⪛$1759$-$2568$≹⇙⪍$2951$)∑⇟⊟((($1418$↪⪝)⨁⊸⫻)≣⋋)","expression":"((⨑⩽⪐(⫖↰⪸1B74⨵⪆⫖↰⪸918))%⫖↰⪸3243⪛⫖↰⪸1027-⫖↰⪸15A0≹⇙⪍⫖↰⪸185B)∑⇟⊟(((⫖↰⪸9A2↪⪝)⨁⊸⫻)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1230,"operation_count":10,"complexity_ratio":123.0,"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":3400,"base":12},"right_expr":{"type":"numeric_atoms","value":1316,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5523,"base":12},"right_expr":{"type":"numeric_atoms","value":1759,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2568,"base":12},"right_expr":{"type":"numeric_atoms","value":2951,"base":12}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1418,"base":12}}}}},"used_operators":["U7g4x0WXJJ","k8jYdgA6NY","AF7qkfDlqP","2DQ55sFlQl","rysDP5nf3Z","uFcxV4UQCh","AHs5Up7iyr","Tcnh7f0tEr","glklzrTFfD","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3400","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=1316, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=113","layer":2},{"info":"number node, value=5523","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=5523, right_input=1759, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=246","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=2951, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=246, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=86756076","layer":3},{"info":"compute unary expreesion, input=86756076, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=86756076","layer":2},{"info":"compute unary expreesion, input=86756076, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨑⩽⪐(⫖↰⪸1B74⨵⪆⫖↰⪸918))%⫖↰⪸3243⪛⫖↰⪸1027-⫖↰⪸15A0≹⇙⪍⫖↰⪸185B)∑⇟⊟(((⫖↰⪸9A2↪⪝)⨁⊸⫻)≣⋋)=NaN","reverse_text":"NaN=((⨑⩽⪐(⫖↰⪸1B74⨵⪆⫖↰⪸918))%⫖↰⪸3243⪛⫖↰⪸1027-⫖↰⪸15A0≹⇙⪍⫖↰⪸185B)∑⇟⊟(((⫖↰⪸9A2↪⪝)⨁⊸⫻)≣⋋)","cot":[{"info":"⫖↰⪸1B74⨵⪆⫖↰⪸918=⫖↰⪸114","layer":3},{"info":"⨑⩽⪐⫖↰⪸114=⫖↰⪸95","layer":2},{"info":"⫖↰⪸3243⪛⫖↰⪸1027=⫖↰⪸186","layer":3},{"info":"⫖↰⪸15A0≹⇙⪍⫖↰⪸185B=NaN","layer":3},{"info":"⫖↰⪸186-NaN=NaN","layer":2},{"info":"⫖↰⪸95%NaN=NaN","layer":1},{"info":"⫖↰⪸9A2↪⪝=⫖↰⪸2507A090","layer":3},{"info":"⫖↰⪸2507A090⨁⊸⫻=⫖↰⪸2507A090","layer":2},{"info":"⫖↰⪸2507A090≣⋋=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"($6555$⨰$2176$⨎$8649$+⇶⊼$5126$%(⊙↵-(⊙↵-$2686$)))⊴(⨈⫕$5638$∑⇟⊟$6423$↺$5397$⩷∴$2883$)","expression":"(⫖↰⪸3963⨰⫖↰⪸1314⨎⫖↰⪸5009+⇶⊼⫖↰⪸2B72%(⊙↵-(⊙↵-⫖↰⪸167A)))⊴(⨈⫕⫖↰⪸331A∑⇟⊟⫖↰⪸3873↺⫖↰⪸3159⩷∴⫖↰⪸1803)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3190,"operation_count":11,"complexity_ratio":290.0,"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":6555,"base":12},"right_expr":{"type":"numeric_atoms","value":2176,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8649,"base":12},"right_expr":{"type":"numeric_atoms","value":5126,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2686,"base":12}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5638,"base":12},"right_expr":{"type":"numeric_atoms","value":6423,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5397,"base":12},"right_expr":{"type":"numeric_atoms","value":2883,"base":12}}}}},"used_operators":["Nsiff2A1zJ","k8jYdgA6NY","rJVOvQCfKK","eewbuw0ToL","TpPTUOHfaN","oWn0xqSxBt","megm06wKyl","7j4O788W3g","U7g4x0WXJJ","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6555","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=6555, right_input=2176, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4389","layer":3},{"info":"number node, value=8649","layer":4},{"info":"number node, value=5126","layer":4},{"info":"compute binary expreesion, left_input=8649, right_input=5126, 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=4389, 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=2686","layer":4},{"info":"compute unary expreesion, input=2686, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5638","layer":4},{"info":"number node, value=6423","layer":4},{"info":"compute binary expreesion, left_input=5638, right_input=6423, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5397","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=5397, right_input=2883, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4996","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4996, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4996","layer":2},{"info":"compute unary expreesion, input=4996, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3963⨰⫖↰⪸1314⨎⫖↰⪸5009+⇶⊼⫖↰⪸2B72%(⊙↵-(⊙↵-⫖↰⪸167A)))⊴(⨈⫕⫖↰⪸331A∑⇟⊟⫖↰⪸3873↺⫖↰⪸3159⩷∴⫖↰⪸1803)=NaN","reverse_text":"NaN=(⫖↰⪸3963⨰⫖↰⪸1314⨎⫖↰⪸5009+⇶⊼⫖↰⪸2B72%(⊙↵-(⊙↵-⫖↰⪸167A)))⊴(⨈⫕⫖↰⪸331A∑⇟⊟⫖↰⪸3873↺⫖↰⪸3159⩷∴⫖↰⪸1803)","cot":[{"info":"⫖↰⪸3963⨰⫖↰⪸1314=⫖↰⪸2659","layer":3},{"info":"⫖↰⪸5009+⇶⊼⫖↰⪸2B72=NaN","layer":3},{"info":"⫖↰⪸2659⨎NaN=NaN","layer":2},{"info":"⊙↵-⫖↰⪸167A=⫖↰⪸-1","layer":3},{"info":"⊙↵-⫖↰⪸-1=⫖↰⪸0","layer":2},{"info":"NaN%⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸331A∑⇟⊟⫖↰⪸3873=NaN","layer":3},{"info":"⫖↰⪸3159⩷∴⫖↰⪸1803=⫖↰⪸2A84","layer":3},{"info":"NaN↺⫖↰⪸2A84=⫖↰⪸2A84","layer":2},{"info":"⨈⫕⫖↰⪸2A84=⫖↰⪸-19","layer":1},{"info":"NaN⊴⫖↰⪸-19=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"↯⪼($1869$∀⇚≩$2544$*$7505$⨪↰⇹$3348$⨵⪆(⋗⩬⋾($1383$≣⋋)))","expression":"↯⪼(⫖↰⪸10B9∀⇚≩⫖↰⪸1580*⫖↰⪸4415⨪↰⇹⫖↰⪸1B30⨵⪆(⋗⩬⋾(⫖↰⪸973≣⋋)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21138,"operation_count":7,"complexity_ratio":3019.714285714286,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1869,"base":12},"right_expr":{"type":"numeric_atoms","value":2544,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7505,"base":12},"right_expr":{"type":"numeric_atoms","value":3348,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1383,"base":12}}}}},"used_operators":["8jW3W4yZS5","2DQ55sFlQl","9HNa5Wba9A","LRNGc0VcxI","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1869","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=2544, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7505","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=7505, right_input=3348, 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=7505","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7505, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(⫖↰⪸10B9∀⇚≩⫖↰⪸1580*⫖↰⪸4415⨪↰⇹⫖↰⪸1B30⨵⪆(⋗⩬⋾(⫖↰⪸973≣⋋)))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(⫖↰⪸10B9∀⇚≩⫖↰⪸1580*⫖↰⪸4415⨪↰⇹⫖↰⪸1B30⨵⪆(⋗⩬⋾(⫖↰⪸973≣⋋)))","cot":[{"info":"⫖↰⪸10B9∀⇚≩⫖↰⪸1580=NaN","layer":3},{"info":"⫖↰⪸4415⨪↰⇹⫖↰⪸1B30=⫖↰⪸4415","layer":3},{"info":"NaN*⫖↰⪸4415=NaN","layer":2},{"info":"⫖↰⪸973≣⋋=⫖↰⪸0","layer":3},{"info":"⋗⩬⋾⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN⨵⪆⫖↰⪸0=⫖↰⪸114","layer":1},{"info":"↯⪼⫖↰⪸114=⫖↰⪸-19","layer":0}]}
{"id":640,"expression_no_base_symbol":"(($1658$⨓$1038$∸)⫌⩹⨱)⋳⪒(⊥(($2672$+$2453$)⪄$2673$≹⇙⪍$2557$))","expression":"((⫖↰⪸B62⨓⫖↰⪸726∸)⫌⩹⨱)⋳⪒(⊥((⫖↰⪸1668+⫖↰⪸1505)⪄⫖↰⪸1669≹⇙⪍⫖↰⪸1591))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1332,"operation_count":8,"complexity_ratio":166.5,"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":1658,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2672,"base":12},"right_expr":{"type":"numeric_atoms","value":2453,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2673,"base":12},"right_expr":{"type":"numeric_atoms","value":2557,"base":12}}}}},"used_operators":["12rbrZMWeM","EBcxylXtPf","o20kRiQErp","3ViojmjbAp","Q3PJZHRvZv","SUmda5xLS4","W4YGzv6Whe","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1038, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1041","layer":3},{"info":"compute unary expreesion, input=-1041, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1755","layer":1},{"info":"number node, value=2672","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=2453, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5125","layer":3},{"info":"number node, value=2673","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2673, right_input=2557, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5125, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1755, right_input=nan, 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":"((⫖↰⪸B62⨓⫖↰⪸726∸)⫌⩹⨱)⋳⪒(⊥((⫖↰⪸1668+⫖↰⪸1505)⪄⫖↰⪸1669≹⇙⪍⫖↰⪸1591))=NaN","reverse_text":"NaN=((⫖↰⪸B62⨓⫖↰⪸726∸)⫌⩹⨱)⋳⪒(⊥((⫖↰⪸1668+⫖↰⪸1505)⪄⫖↰⪸1669≹⇙⪍⫖↰⪸1591))","cot":[{"info":"⫖↰⪸B62⨓⫖↰⪸726=⫖↰⪸-729","layer":3},{"info":"⫖↰⪸-729∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸129⫌⩹⨱=⫖↰⪸1023","layer":1},{"info":"⫖↰⪸1668+⫖↰⪸1505=⫖↰⪸2B71","layer":3},{"info":"⫖↰⪸1669≹⇙⪍⫖↰⪸1591=NaN","layer":3},{"info":"⫖↰⪸2B71⪄NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⫖↰⪸1023⋳⪒NaN=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"↔(($1567$%$3871$⪨≂(⊥$3109$))⊭↱(∂$4263$⨪↰⇹$2310$))","expression":"↔((⫖↰⪸AA7%⫖↰⪸22A7⪨≂(⊥⫖↰⪸1971))⊭↱(∂⫖↰⪸2573⨪↰⇹⫖↰⪸1406))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4299,"operation_count":7,"complexity_ratio":614.1428571428571,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1567,"base":12},"right_expr":{"type":"numeric_atoms","value":3871,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3109,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4263,"base":12},"right_expr":{"type":"numeric_atoms","value":2310,"base":12}}}}},"used_operators":["ruOEQAzv1W","COABgblf1C","sdazOOVcIp","k8jYdgA6NY","Q3PJZHRvZv","Uaa54Peajs","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"number node, value=3871","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=3871, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1567","layer":3},{"info":"number node, value=3109","layer":4},{"info":"compute unary expreesion, input=3109, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1567, 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=4263","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=2310, 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=4263","layer":3},{"info":"compute unary expreesion, input=4263, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":"↔((⫖↰⪸AA7%⫖↰⪸22A7⪨≂(⊥⫖↰⪸1971))⊭↱(∂⫖↰⪸2573⨪↰⇹⫖↰⪸1406))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔((⫖↰⪸AA7%⫖↰⪸22A7⪨≂(⊥⫖↰⪸1971))⊭↱(∂⫖↰⪸2573⨪↰⇹⫖↰⪸1406))","cot":[{"info":"⫖↰⪸AA7%⫖↰⪸22A7=⫖↰⪸AA7","layer":3},{"info":"⊥⫖↰⪸1971=NaN","layer":3},{"info":"⫖↰⪸AA7⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸2573⨪↰⇹⫖↰⪸1406=⫖↰⪸2573","layer":3},{"info":"∂⫖↰⪸2573=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":642,"expression_no_base_symbol":"((($2093$%$2527$)⪒($6459$⫡⨏$1613$))⨰(($1630$∲⫓$2951$)⩚⊴⇥$7097$⪛$3940$))∀⇚≩(($3261$≧⫂∧$1068$)↬($2310$∸)⊉≛↸($6984$⨽$4493$⇼⇔∾$6399$⫥∨⫟$7351$))","expression":"(((⫖↰⪸1265%⫖↰⪸1567)⪒(⫖↰⪸38A3⫡⨏⫖↰⪸B25))⨰((⫖↰⪸B3A∲⫓⫖↰⪸185B)⩚⊴⇥⫖↰⪸4135⪛⫖↰⪸2344))∀⇚≩((⫖↰⪸1A79≧⫂∧⫖↰⪸750)↬(⫖↰⪸1406∸)⊉≛↸(⫖↰⪸4060⨽⫖↰⪸2725⇼⇔∾⫖↰⪸3853⫥∨⫟⫖↰⪸4307))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":253119,"operation_count":15,"complexity_ratio":16874.6,"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":2093,"base":12},"right_expr":{"type":"numeric_atoms","value":2527,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6459,"base":12},"right_expr":{"type":"numeric_atoms","value":1613,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1630,"base":12},"right_expr":{"type":"numeric_atoms","value":2951,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7097,"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":3261,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2310,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6984,"base":12},"right_expr":{"type":"numeric_atoms","value":4493,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6399,"base":12},"right_expr":{"type":"numeric_atoms","value":7351,"base":12}}}}},"used_operators":["LRNGc0VcxI","eewbuw0ToL","f6k1SAg4EE","k8jYdgA6NY","QMFrweE19q","NTOWxs364D","i8ToyICDmI","uFcxV4UQCh","DZ8iAZOCBD","B5M0gjZbta","Ph9nP6C5qx","o20kRiQErp","tifHPKVTfV","8HhzD0ZcuI","KYD54nUTWz"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2093","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=2527, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2093","layer":3},{"info":"number node, value=6459","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=6459, right_input=1613, 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=36304","layer":3},{"info":"compute binary expreesion, left_input=2093, right_input=36304, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-38397","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=2951, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=7097","layer":4},{"info":"number node, value=3940","layer":4},{"info":"compute binary expreesion, left_input=7097, right_input=3940, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3157","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3157, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3278","layer":2},{"info":"compute binary expreesion, left_input=-38397, right_input=-3278, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-35109","layer":1},{"info":"number node, value=3261","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=1068, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=595","layer":3},{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=595, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6984","layer":4},{"info":"number node, value=4493","layer":4},{"info":"compute binary expreesion, left_input=6984, right_input=4493, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-146340933","layer":3},{"info":"number node, value=6399","layer":4},{"info":"number node, value=7351","layer":4},{"info":"compute binary expreesion, left_input=6399, right_input=7351, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-146340933, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-35109, 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":"(((⫖↰⪸1265%⫖↰⪸1567)⪒(⫖↰⪸38A3⫡⨏⫖↰⪸B25))⨰((⫖↰⪸B3A∲⫓⫖↰⪸185B)⩚⊴⇥⫖↰⪸4135⪛⫖↰⪸2344))∀⇚≩((⫖↰⪸1A79≧⫂∧⫖↰⪸750)↬(⫖↰⪸1406∸)⊉≛↸(⫖↰⪸4060⨽⫖↰⪸2725⇼⇔∾⫖↰⪸3853⫥∨⫟⫖↰⪸4307))=NaN","reverse_text":"NaN=(((⫖↰⪸1265%⫖↰⪸1567)⪒(⫖↰⪸38A3⫡⨏⫖↰⪸B25))⨰((⫖↰⪸B3A∲⫓⫖↰⪸185B)⩚⊴⇥⫖↰⪸4135⪛⫖↰⪸2344))∀⇚≩((⫖↰⪸1A79≧⫂∧⫖↰⪸750)↬(⫖↰⪸1406∸)⊉≛↸(⫖↰⪸4060⨽⫖↰⪸2725⇼⇔∾⫖↰⪸3853⫥∨⫟⫖↰⪸4307))","cot":[{"info":"⫖↰⪸1265%⫖↰⪸1567=⫖↰⪸1265","layer":3},{"info":"⫖↰⪸38A3⫡⨏⫖↰⪸B25=⫖↰⪸19014","layer":3},{"info":"⫖↰⪸1265⪒⫖↰⪸19014=⫖↰⪸-1A279","layer":2},{"info":"⫖↰⪸B3A∲⫓⫖↰⪸185B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4135⪛⫖↰⪸2344=⫖↰⪸19B1","layer":3},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸19B1=⫖↰⪸-1A92","layer":2},{"info":"⫖↰⪸-1A279⨰⫖↰⪸-1A92=⫖↰⪸-18399","layer":1},{"info":"⫖↰⪸1A79≧⫂∧⫖↰⪸750=⫖↰⪸417","layer":3},{"info":"⫖↰⪸1406∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸417↬⫖↰⪸129=NaN","layer":2},{"info":"⫖↰⪸4060⨽⫖↰⪸2725=⫖↰⪸-41014059","layer":3},{"info":"⫖↰⪸3853⫥∨⫟⫖↰⪸4307=NaN","layer":3},{"info":"⫖↰⪸-41014059⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⫖↰⪸-18399∀⇚≩NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"(($1759$⋫)∑⇟⊟($1734$*$5067$)⊭↱$6091$≧⫂∧$2531$⩷∴($1033$⊭↱$3920$))∑⇟⊟((⨵≀≌$3091$⊴$1641$)⨎$3437$∼$3296$⪛($1195$+⇶⊼$3845$))","expression":"((⫖↰⪸1027⋫)∑⇟⊟(⫖↰⪸1006*⫖↰⪸2B23)⊭↱⫖↰⪸3637≧⫂∧⫖↰⪸156B⩷∴(⫖↰⪸721⊭↱⫖↰⪸2328))∑⇟⊟((⨵≀≌⫖↰⪸1957⊴⫖↰⪸B49)⨎⫖↰⪸1BA5∼⫖↰⪸1AA8⪛(⫖↰⪸837+⇶⊼⫖↰⪸2285))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5622,"operation_count":14,"complexity_ratio":401.57142857142856,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1759,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1734,"base":12},"right_expr":{"type":"numeric_atoms","value":5067,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6091,"base":12},"right_expr":{"type":"numeric_atoms","value":2531,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1033,"base":12},"right_expr":{"type":"numeric_atoms","value":3920,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3091,"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":3437,"base":12},"right_expr":{"type":"numeric_atoms","value":3296,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1195,"base":12},"right_expr":{"type":"numeric_atoms","value":3845,"base":12}}}}},"used_operators":["U7g4x0WXJJ","COABgblf1C","JL8yIekQnl","9HNa5Wba9A","9FxExcQeMw","Ph9nP6C5qx","rJVOvQCfKK","srAu1WTS94","Nsiff2A1zJ","uFcxV4UQCh","DyGG3AbaNP","TpPTUOHfaN"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1759","layer":3},{"info":"number node, value=1734","layer":4},{"info":"number node, value=5067","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=5067, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8786178","layer":3},{"info":"compute binary expreesion, left_input=1759, right_input=8786178, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6091","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=6091, right_input=2531, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2058","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=3920","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=3920, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5779","layer":3},{"info":"compute binary expreesion, left_input=2058, right_input=5779, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7474","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7474, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=3091","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=1641, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=3437","layer":4},{"info":"number node, value=3296","layer":4},{"info":"compute binary expreesion, left_input=3437, right_input=3296, 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=1195","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=3845, 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 = 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1027⋫)∑⇟⊟(⫖↰⪸1006*⫖↰⪸2B23)⊭↱⫖↰⪸3637≧⫂∧⫖↰⪸156B⩷∴(⫖↰⪸721⊭↱⫖↰⪸2328))∑⇟⊟((⨵≀≌⫖↰⪸1957⊴⫖↰⪸B49)⨎⫖↰⪸1BA5∼⫖↰⪸1AA8⪛(⫖↰⪸837+⇶⊼⫖↰⪸2285))=NaN","reverse_text":"NaN=((⫖↰⪸1027⋫)∑⇟⊟(⫖↰⪸1006*⫖↰⪸2B23)⊭↱⫖↰⪸3637≧⫂∧⫖↰⪸156B⩷∴(⫖↰⪸721⊭↱⫖↰⪸2328))∑⇟⊟((⨵≀≌⫖↰⪸1957⊴⫖↰⪸B49)⨎⫖↰⪸1BA5∼⫖↰⪸1AA8⪛(⫖↰⪸837+⇶⊼⫖↰⪸2285))","cot":[{"info":"⫖↰⪸1027⋫=⫖↰⪸1027","layer":3},{"info":"⫖↰⪸1006*⫖↰⪸2B23=⫖↰⪸2B38716","layer":3},{"info":"⫖↰⪸1027∑⇟⊟⫖↰⪸2B38716=NaN","layer":2},{"info":"⫖↰⪸3637≧⫂∧⫖↰⪸156B=⫖↰⪸1236","layer":3},{"info":"⫖↰⪸721⊭↱⫖↰⪸2328=⫖↰⪸3417","layer":3},{"info":"⫖↰⪸1236⩷∴⫖↰⪸3417=⫖↰⪸-43AA","layer":2},{"info":"NaN⊭↱⫖↰⪸-43AA=NaN","layer":1},{"info":"⫖↰⪸1957⊴⫖↰⪸B49=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⫖↰⪸1BA5∼⫖↰⪸1AA8=NaN","layer":3},{"info":"⫖↰⪸837+⇶⊼⫖↰⪸2285=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"≤/(⫛⫱⨽($2713$+$4759$))↙$4133$∀⇚≩$1095$⫥∨⫟($1155$⊉≛↸$3345$)","expression":"≤/(⫛⫱⨽(⫖↰⪸16A1+⫖↰⪸2907))↙⫖↰⪸2485∀⇚≩⫖↰⪸773⫥∨⫟(⫖↰⪸803⊉≛↸⫖↰⪸1B29)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30512,"operation_count":7,"complexity_ratio":4358.857142857143,"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":2713,"base":12},"right_expr":{"type":"numeric_atoms","value":4759,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4133,"base":12},"right_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1155,"base":12},"right_expr":{"type":"numeric_atoms","value":3345,"base":12}}}}},"used_operators":["eLAdDNolq6","yyfyN0ffXY","DlLNRPXxWL","W4YGzv6Whe","KYD54nUTWz","LRNGc0VcxI","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸344","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"number node, value=4759","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=4759, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7472","layer":3},{"info":"compute unary expreesion, input=7472, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4133","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=1095, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1155","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=3345, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2310","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2310, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":0}],"base":12,"result_base":12,"text":"≤/(⫛⫱⨽(⫖↰⪸16A1+⫖↰⪸2907))↙⫖↰⪸2485∀⇚≩⫖↰⪸773⫥∨⫟(⫖↰⪸803⊉≛↸⫖↰⪸1B29)=⫖↰⪸344","reverse_text":"⫖↰⪸344=≤/(⫛⫱⨽(⫖↰⪸16A1+⫖↰⪸2907))↙⫖↰⪸2485∀⇚≩⫖↰⪸773⫥∨⫟(⫖↰⪸803⊉≛↸⫖↰⪸1B29)","cot":[{"info":"⫖↰⪸16A1+⫖↰⪸2907=⫖↰⪸43A8","layer":3},{"info":"⫛⫱⨽⫖↰⪸43A8=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2485∀⇚≩⫖↰⪸773=NaN","layer":3},{"info":"⫖↰⪸803⊉≛↸⫖↰⪸1B29=⫖↰⪸1406","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸1406=NaN","layer":2},{"info":"⫖↰⪸0↙NaN=⫖↰⪸0","layer":1},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($2933$⩤)↬($1017$-$3120$)⊦⊿)⪄(↣≠⋷($5874$-$1869$))⨽(⨑⩽⪐$1022$⩷∴$2914$)","expression":"((⫖↰⪸1845⩤)↬(⫖↰⪸709-⫖↰⪸1980)⊦⊿)⪄(↣≠⋷(⫖↰⪸3496-⫖↰⪸10B9))⨽(⨑⩽⪐⫖↰⪸712⩷∴⫖↰⪸182A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":57,"operation_count":10,"complexity_ratio":5.7,"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":2933,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1017,"base":12},"right_expr":{"type":"numeric_atoms","value":3120,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5874,"base":12},"right_expr":{"type":"numeric_atoms","value":1869,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1022,"base":12},"right_expr":{"type":"numeric_atoms","value":2914,"base":12}}}}},"used_operators":["SUmda5xLS4","14qkJME0vr","B5M0gjZbta","Z2TMIBDE3Q","rysDP5nf3Z","8HhzD0ZcuI","Asc51vEJeQ","AF7qkfDlqP","9FxExcQeMw"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2933","layer":4},{"info":"compute unary expreesion, input=2933, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2933","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=3120, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2103","layer":3},{"info":"compute binary expreesion, left_input=-2933, right_input=-2103, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5874","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=5874, right_input=1869, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4005","layer":3},{"info":"compute unary expreesion, input=4005, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1022","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2914, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3816","layer":3},{"info":"compute unary expreesion, input=-3816, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8421","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8421, 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 = 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":"((⫖↰⪸1845⩤)↬(⫖↰⪸709-⫖↰⪸1980)⊦⊿)⪄(↣≠⋷(⫖↰⪸3496-⫖↰⪸10B9))⨽(⨑⩽⪐⫖↰⪸712⩷∴⫖↰⪸182A)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=((⫖↰⪸1845⩤)↬(⫖↰⪸709-⫖↰⪸1980)⊦⊿)⪄(↣≠⋷(⫖↰⪸3496-⫖↰⪸10B9))⨽(⨑⩽⪐⫖↰⪸712⩷∴⫖↰⪸182A)","cot":[{"info":"⫖↰⪸1845⩤=⫖↰⪸-1845","layer":3},{"info":"⫖↰⪸709-⫖↰⪸1980=⫖↰⪸-1273","layer":3},{"info":"⫖↰⪸-1845↬⫖↰⪸-1273=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⫖↰⪸3496-⫖↰⪸10B9=⫖↰⪸2399","layer":3},{"info":"↣≠⋷⫖↰⪸2399=NaN","layer":2},{"info":"⫖↰⪸712⩷∴⫖↰⪸182A=⫖↰⪸-2260","layer":3},{"info":"⨑⩽⪐⫖↰⪸-2260=⫖↰⪸4A59","layer":2},{"info":"NaN⨽⫖↰⪸4A59=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":646,"expression_no_base_symbol":"(⨰⫟⨤(⨵≀≌$1595$⪢$3308$))↙(↩((↽≂$7265$)≫≃))","expression":"(⨰⫟⨤(⨵≀≌⫖↰⪸B0B⪢⫖↰⪸1AB8))↙(↩((↽≂⫖↰⪸4255)≫≃))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3371,"operation_count":7,"complexity_ratio":481.57142857142856,"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":1595,"base":12},"right_expr":{"type":"numeric_atoms","value":3308,"base":12}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7265,"base":12}}}}},"used_operators":["yyfyN0ffXY","Tw270M8GLb","srAu1WTS94","dWAJyo7jo9","jLgFTUHLKL","X99M06cbEe","u6S6b8DprG"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=3308, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=7265","layer":4},{"info":"compute unary expreesion, input=7265, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14530","layer":3},{"info":"compute unary expreesion, input=-14530, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-27659","layer":2},{"info":"compute unary expreesion, input=-27659, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=113256","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113256, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤(⨵≀≌⫖↰⪸B0B⪢⫖↰⪸1AB8))↙(↩((↽≂⫖↰⪸4255)≫≃))=NaN","reverse_text":"NaN=(⨰⫟⨤(⨵≀≌⫖↰⪸B0B⪢⫖↰⪸1AB8))↙(↩((↽≂⫖↰⪸4255)≫≃))","cot":[{"info":"⫖↰⪸B0B⪢⫖↰⪸1AB8=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"↽≂⫖↰⪸4255=⫖↰⪸-84AA","layer":3},{"info":"⫖↰⪸-84AA≫≃=⫖↰⪸-1400B","layer":2},{"info":"↩⫖↰⪸-1400B=⫖↰⪸55660","layer":1},{"info":"NaN↙⫖↰⪸55660=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"((⇁⨣⪵$1928$)⩚⊴⇥(⇁⨣⪵$1859$)⨵⪆$4255$⩚⊴⇥$4350$⩚⊴⇥($1991$⋥≓≎$5755$))⋥≓≎((($4436$⫌⩹⨱)⇼⇔∾$8383$⫸⊐$1467$)⪄($2569$⊉≛↸$5538$)↺($4900$⨸⪁$1443$))","expression":"((⇁⨣⪵⫖↰⪸1148)⩚⊴⇥(⇁⨣⪵⫖↰⪸10AB)⨵⪆⫖↰⪸2567⩚⊴⇥⫖↰⪸2626⩚⊴⇥(⫖↰⪸119B⋥≓≎⫖↰⪸33B7))⋥≓≎(((⫖↰⪸2698⫌⩹⨱)⇼⇔∾⫖↰⪸4A27⫸⊐⫖↰⪸A23)⪄(⫖↰⪸15A1⊉≛↸⫖↰⪸3256)↺(⫖↰⪸2A04⨸⪁⫖↰⪸A03))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":153,"operation_count":15,"complexity_ratio":10.2,"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":1928,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1859,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4255,"base":12},"right_expr":{"type":"numeric_atoms","value":4350,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1991,"base":12},"right_expr":{"type":"numeric_atoms","value":5755,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4436,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8383,"base":12},"right_expr":{"type":"numeric_atoms","value":1467,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2569,"base":12},"right_expr":{"type":"numeric_atoms","value":5538,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4900,"base":12},"right_expr":{"type":"numeric_atoms","value":1443,"base":12}}}}},"used_operators":["Qy55tPpLXF","2DQ55sFlQl","NTOWxs364D","inkyxCbjAn","SUmda5xLS4","tifHPKVTfV","EBcxylXtPf","mqXw5SEYmG","7j4O788W3g","DZ8iAZOCBD","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸4647","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4255","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=4350, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8726","layer":3},{"info":"number node, value=1991","layer":4},{"info":"number node, value=5755","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=5755, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9552","layer":3},{"info":"compute binary expreesion, left_input=-8726, right_input=9552, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-947","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-947, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4436","layer":4},{"info":"compute unary expreesion, input=4436, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10273","layer":3},{"info":"number node, value=8383","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=8383, right_input=1467, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5743","layer":3},{"info":"compute binary expreesion, left_input=10273, right_input=5743, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4530","layer":2},{"info":"number node, value=2569","layer":4},{"info":"number node, value=5538","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=5538, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5138","layer":3},{"info":"number node, value=4900","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=4900, right_input=1443, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12686","layer":3},{"info":"compute binary expreesion, left_input=5138, right_input=12686, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=12686","layer":2},{"info":"compute binary expreesion, left_input=-4530, right_input=12686, 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=160, right_input=3979, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7831","layer":0}],"base":12,"result_base":12,"text":"((⇁⨣⪵⫖↰⪸1148)⩚⊴⇥(⇁⨣⪵⫖↰⪸10AB)⨵⪆⫖↰⪸2567⩚⊴⇥⫖↰⪸2626⩚⊴⇥(⫖↰⪸119B⋥≓≎⫖↰⪸33B7))⋥≓≎(((⫖↰⪸2698⫌⩹⨱)⇼⇔∾⫖↰⪸4A27⫸⊐⫖↰⪸A23)⪄(⫖↰⪸15A1⊉≛↸⫖↰⪸3256)↺(⫖↰⪸2A04⨸⪁⫖↰⪸A03))=⫖↰⪸4647","reverse_text":"⫖↰⪸4647=((⇁⨣⪵⫖↰⪸1148)⩚⊴⇥(⇁⨣⪵⫖↰⪸10AB)⨵⪆⫖↰⪸2567⩚⊴⇥⫖↰⪸2626⩚⊴⇥(⫖↰⪸119B⋥≓≎⫖↰⪸33B7))⋥≓≎(((⫖↰⪸2698⫌⩹⨱)⇼⇔∾⫖↰⪸4A27⫸⊐⫖↰⪸A23)⪄(⫖↰⪸15A1⊉≛↸⫖↰⪸3256)↺(⫖↰⪸2A04⨸⪁⫖↰⪸A03))","cot":[{"info":"⇁⨣⪵⫖↰⪸1148=NaN","layer":3},{"info":"⇁⨣⪵⫖↰⪸10AB=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⫖↰⪸2567⩚⊴⇥⫖↰⪸2626=⫖↰⪸-5072","layer":3},{"info":"⫖↰⪸119B⋥≓≎⫖↰⪸33B7=⫖↰⪸5640","layer":3},{"info":"⫖↰⪸-5072⩚⊴⇥⫖↰⪸5640=⫖↰⪸-66B","layer":2},{"info":"NaN⨵⪆⫖↰⪸-66B=⫖↰⪸114","layer":1},{"info":"⫖↰⪸2698⫌⩹⨱=⫖↰⪸5B41","layer":3},{"info":"⫖↰⪸4A27⫸⊐⫖↰⪸A23=⫖↰⪸33A7","layer":3},{"info":"⫖↰⪸5B41⇼⇔∾⫖↰⪸33A7=⫖↰⪸-2756","layer":2},{"info":"⫖↰⪸15A1⊉≛↸⫖↰⪸3256=⫖↰⪸2B82","layer":3},{"info":"⫖↰⪸2A04⨸⪁⫖↰⪸A03=⫖↰⪸7412","layer":3},{"info":"⫖↰⪸2B82↺⫖↰⪸7412=⫖↰⪸7412","layer":2},{"info":"⫖↰⪸-2756⪄⫖↰⪸7412=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸114⋥≓≎⫖↰⪸2377=⫖↰⪸4647","layer":0}]}
{"id":648,"expression_no_base_symbol":"((≦∁$2509$⇼⇔∾$4043$)⋳⪒(↣≠⋷($1679$⫸⊐$1384$)))⨟⋌⩍(($1002$/$2873$)≎⊠⪸$1216$⪮%⊝$3339$↛⩡⫤)","expression":"((≦∁⫖↰⪸1551⇼⇔∾⫖↰⪸240B)⋳⪒(↣≠⋷(⫖↰⪸B7B⫸⊐⫖↰⪸974)))⨟⋌⩍((⫖↰⪸6B6/⫖↰⪸17B5)≎⊠⪸⫖↰⪸854⪮%⊝⫖↰⪸1B23↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1613,"operation_count":10,"complexity_ratio":161.3,"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":2509,"base":12},"right_expr":{"type":"numeric_atoms","value":4043,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1679,"base":12},"right_expr":{"type":"numeric_atoms","value":1384,"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":2873,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1216,"base":12},"right_expr":{"type":"numeric_atoms","value":3339,"base":12}}}}},"used_operators":["rGHVDoGpnC","12rbrZMWeM","9ICcGScMcE","tifHPKVTfV","Asc51vEJeQ","mqXw5SEYmG","FU0Cs4j7VP","bJkvcejdHO","XhwjNDsVaA","IWmyXbctLI"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=4043, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1534","layer":3},{"info":"compute unary expreesion, input=1534, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1534","layer":2},{"info":"number node, value=1679","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=1384, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5411","layer":3},{"info":"compute unary expreesion, input=5411, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1534, 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=1002","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2873, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3339, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2748","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2748, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-63728","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-63728, 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":"((≦∁⫖↰⪸1551⇼⇔∾⫖↰⪸240B)⋳⪒(↣≠⋷(⫖↰⪸B7B⫸⊐⫖↰⪸974)))⨟⋌⩍((⫖↰⪸6B6/⫖↰⪸17B5)≎⊠⪸⫖↰⪸854⪮%⊝⫖↰⪸1B23↛⩡⫤)=NaN","reverse_text":"NaN=((≦∁⫖↰⪸1551⇼⇔∾⫖↰⪸240B)⋳⪒(↣≠⋷(⫖↰⪸B7B⫸⊐⫖↰⪸974)))⨟⋌⩍((⫖↰⪸6B6/⫖↰⪸17B5)≎⊠⪸⫖↰⪸854⪮%⊝⫖↰⪸1B23↛⩡⫤)","cot":[{"info":"⫖↰⪸1551⇼⇔∾⫖↰⪸240B=⫖↰⪸A7A","layer":3},{"info":"≦∁⫖↰⪸A7A=⫖↰⪸A7A","layer":2},{"info":"⫖↰⪸B7B⫸⊐⫖↰⪸974=⫖↰⪸316B","layer":3},{"info":"↣≠⋷⫖↰⪸316B=NaN","layer":2},{"info":"⫖↰⪸A7A⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸6B6/⫖↰⪸17B5=⫖↰⪸0","layer":3},{"info":"⫖↰⪸854⪮%⊝⫖↰⪸1B23=⫖↰⪸1710","layer":3},{"info":"⫖↰⪸0≎⊠⪸⫖↰⪸1710=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸-335↛⩡⫤=⫖↰⪸-30A68","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸-30A68=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"((⨵≀≌($1107$≦≮≮))⨁⊸⫻)⋷($4861$∀⇚≩$3056$⨐⩸⫘($5140$⨸⪁$1680$))+⇶⊼$1006$⩷∴$3695$≧⫂∧($3920$-$2297$)","expression":"((⨵≀≌(⫖↰⪸783≦≮≮))⨁⊸⫻)⋷(⫖↰⪸2991∀⇚≩⫖↰⪸1928⨐⩸⫘(⫖↰⪸2B84⨸⪁⫖↰⪸B80))+⇶⊼⫖↰⪸6BA⩷∴⫖↰⪸217B≧⫂∧(⫖↰⪸2328-⫖↰⪸13B5)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37373,"operation_count":11,"complexity_ratio":3397.5454545454545,"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":1107,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4861,"base":12},"right_expr":{"type":"numeric_atoms","value":3056,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5140,"base":12},"right_expr":{"type":"numeric_atoms","value":1680,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1006,"base":12},"right_expr":{"type":"numeric_atoms","value":3695,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3920,"base":12},"right_expr":{"type":"numeric_atoms","value":2297,"base":12}}}}},"used_operators":["23Mk6UjR3U","glklzrTFfD","srAu1WTS94","D4vGDi5EA2","TpPTUOHfaN","fu6greOZ01","LRNGc0VcxI","g55IO6H4Gj","Ph9nP6C5qx","9FxExcQeMw","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3321","layer":3},{"info":"compute unary expreesion, input=-3321, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=11029041","layer":2},{"info":"compute unary expreesion, input=11029041, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=11029041","layer":1},{"info":"number node, value=4861","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=3056, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5140","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=5140, right_input=1680, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13640, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1006","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=3695, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5410","layer":3},{"info":"number node, value=3920","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=2297, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1623","layer":3},{"info":"compute binary expreesion, left_input=-5410, right_input=1623, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1150","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1150, 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=11029041, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨵≀≌(⫖↰⪸783≦≮≮))⨁⊸⫻)⋷(⫖↰⪸2991∀⇚≩⫖↰⪸1928⨐⩸⫘(⫖↰⪸2B84⨸⪁⫖↰⪸B80))+⇶⊼⫖↰⪸6BA⩷∴⫖↰⪸217B≧⫂∧(⫖↰⪸2328-⫖↰⪸13B5)=NaN","reverse_text":"NaN=((⨵≀≌(⫖↰⪸783≦≮≮))⨁⊸⫻)⋷(⫖↰⪸2991∀⇚≩⫖↰⪸1928⨐⩸⫘(⫖↰⪸2B84⨸⪁⫖↰⪸B80))+⇶⊼⫖↰⪸6BA⩷∴⫖↰⪸217B≧⫂∧(⫖↰⪸2328-⫖↰⪸13B5)","cot":[{"info":"⫖↰⪸783≦≮≮=⫖↰⪸-1B09","layer":3},{"info":"⨵≀≌⫖↰⪸-1B09=⫖↰⪸383A669","layer":2},{"info":"⫖↰⪸383A669⨁⊸⫻=⫖↰⪸383A669","layer":1},{"info":"⫖↰⪸2991∀⇚≩⫖↰⪸1928=NaN","layer":3},{"info":"⫖↰⪸2B84⨸⪁⫖↰⪸B80=⫖↰⪸7A88","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸7A88=NaN","layer":2},{"info":"⫖↰⪸6BA⩷∴⫖↰⪸217B=⫖↰⪸-316A","layer":3},{"info":"⫖↰⪸2328-⫖↰⪸13B5=⫖↰⪸B33","layer":3},{"info":"⫖↰⪸-316A≧⫂∧⫖↰⪸B33=⫖↰⪸7BA","layer":2},{"info":"NaN+⇶⊼⫖↰⪸7BA=NaN","layer":1},{"info":"⫖↰⪸383A669⋷NaN=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"⇁⨣⪵($2850$∼$4939$≭($3291$⇼⇔∾$2099$))⨰((⫛⫱⨽$1527$)+$5967$+⇶⊼$4698$)","expression":"⇁⨣⪵(⫖↰⪸1796∼⫖↰⪸2A37≭(⫖↰⪸1AA3⇼⇔∾⫖↰⪸126B))⨰((⫛⫱⨽⫖↰⪸A73)+⫖↰⪸3553+⇶⊼⫖↰⪸2876)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1491,"operation_count":8,"complexity_ratio":186.375,"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":2850,"base":12},"right_expr":{"type":"numeric_atoms","value":4939,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3291,"base":12},"right_expr":{"type":"numeric_atoms","value":2099,"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":5967,"base":12},"right_expr":{"type":"numeric_atoms","value":4698,"base":12}}}}},"used_operators":["inkyxCbjAn","eewbuw0ToL","rxpJgHHUmx","DyGG3AbaNP","tifHPKVTfV","W4YGzv6Whe","DlLNRPXxWL","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2850","layer":4},{"info":"number node, value=4939","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=4939, 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=3291","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=2099, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1192, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1527","layer":4},{"info":"compute unary expreesion, input=1527, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5967","layer":4},{"info":"number node, value=4698","layer":4},{"info":"compute binary expreesion, left_input=5967, right_input=4698, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸1796∼⫖↰⪸2A37≭(⫖↰⪸1AA3⇼⇔∾⫖↰⪸126B))⨰((⫛⫱⨽⫖↰⪸A73)+⫖↰⪸3553+⇶⊼⫖↰⪸2876)=NaN","reverse_text":"NaN=⇁⨣⪵(⫖↰⪸1796∼⫖↰⪸2A37≭(⫖↰⪸1AA3⇼⇔∾⫖↰⪸126B))⨰((⫛⫱⨽⫖↰⪸A73)+⫖↰⪸3553+⇶⊼⫖↰⪸2876)","cot":[{"info":"⫖↰⪸1796∼⫖↰⪸2A37=NaN","layer":3},{"info":"⫖↰⪸1AA3⇼⇔∾⫖↰⪸126B=⫖↰⪸-834","layer":3},{"info":"NaN≭⫖↰⪸-834=NaN","layer":2},{"info":"⫛⫱⨽⫖↰⪸A73=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3553+⇶⊼⫖↰⪸2876=NaN","layer":3},{"info":"⫖↰⪸0+NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"⊄⩳↩((($1648$⪠⩆⊳)⫸⊐(⨵≀≌$1008$))⩤)","expression":"⊄⩳↩(((⫖↰⪸B54⪠⩆⊳)⫸⊐(⨵≀≌⫖↰⪸700))⩤)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":17,"operation_count":5,"complexity_ratio":3.4,"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":1648,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1008,"base":12}}}}},"used_operators":["8w2t5hMYqp","Z2TMIBDE3Q","mqXw5SEYmG","JLbD19bQDL","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"compute unary expreesion, input=1648, 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=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3024","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3024, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(((⫖↰⪸B54⪠⩆⊳)⫸⊐(⨵≀≌⫖↰⪸700))⩤)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊄⩳↩(((⫖↰⪸B54⪠⩆⊳)⫸⊐(⨵≀≌⫖↰⪸700))⩤)","cot":[{"info":"⫖↰⪸B54⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⨵≀≌⫖↰⪸700=⫖↰⪸-1900","layer":3},{"info":"⫖↰⪸0⫸⊐⫖↰⪸-1900=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⩤=⫖↰⪸0","layer":1},{"info":"⊄⩳↩⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":652,"expression_no_base_symbol":"(↣≠⋷($2663$⋓$2607$⩤))⨵⪆(⨞⊢$5376$∼$2554$)⨽(($1964$⫌⩹⨱)/$5818$⩨$5664$)","expression":"(↣≠⋷(⫖↰⪸165B⋓⫖↰⪸1613⩤))⨵⪆(⨞⊢⫖↰⪸3140∼⫖↰⪸158A)⨽((⫖↰⪸1178⫌⩹⨱)/⫖↰⪸344A⩨⫖↰⪸3340)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":149,"operation_count":10,"complexity_ratio":14.9,"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":2663,"base":12},"right_expr":{"type":"numeric_atoms","value":2607,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5376,"base":12},"right_expr":{"type":"numeric_atoms","value":2554,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1964,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5818,"base":12},"right_expr":{"type":"numeric_atoms","value":5664,"base":12}}}}},"used_operators":["2DQ55sFlQl","Asc51vEJeQ","Z2TMIBDE3Q","T2fj7uvVaJ","8HhzD0ZcuI","xUOZtlo3hN","DyGG3AbaNP","XhwjNDsVaA","EBcxylXtPf","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=2607, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=5376","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=2554, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5329","layer":3},{"info":"number node, value=5818","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=5818, right_input=5664, 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=5329, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷(⫖↰⪸165B⋓⫖↰⪸1613⩤))⨵⪆(⨞⊢⫖↰⪸3140∼⫖↰⪸158A)⨽((⫖↰⪸1178⫌⩹⨱)/⫖↰⪸344A⩨⫖↰⪸3340)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(↣≠⋷(⫖↰⪸165B⋓⫖↰⪸1613⩤))⨵⪆(⨞⊢⫖↰⪸3140∼⫖↰⪸158A)⨽((⫖↰⪸1178⫌⩹⨱)/⫖↰⪸344A⩨⫖↰⪸3340)","cot":[{"info":"⫖↰⪸165B⋓⫖↰⪸1613=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩤=⫖↰⪸0","layer":2},{"info":"↣≠⋷⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸3140∼⫖↰⪸158A=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫖↰⪸1178⫌⩹⨱=⫖↰⪸3101","layer":3},{"info":"⫖↰⪸344A⩨⫖↰⪸3340=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3101/⫖↰⪸0=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":653,"expression_no_base_symbol":"⇁⨣⪵(⊙↵-(↩$1931$⩚⊴⇥$8452$))","expression":"⇁⨣⪵(⊙↵-(↩⫖↰⪸114B⩚⊴⇥⫖↰⪸4A84))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44859,"operation_count":4,"complexity_ratio":11214.75,"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":1931,"base":12},"right_expr":{"type":"numeric_atoms","value":8452,"base":12}}}}},"used_operators":["inkyxCbjAn","oWn0xqSxBt","jLgFTUHLKL","NTOWxs364D"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸2A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1931","layer":4},{"info":"number node, value=8452","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=8452, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10504","layer":3},{"info":"compute unary expreesion, input=-10504, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=44636","layer":2},{"info":"compute unary expreesion, input=44636, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=34","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⊙↵-(↩⫖↰⪸114B⩚⊴⇥⫖↰⪸4A84))=⫖↰⪸2A","reverse_text":"⫖↰⪸2A=⇁⨣⪵(⊙↵-(↩⫖↰⪸114B⩚⊴⇥⫖↰⪸4A84))","cot":[{"info":"⫖↰⪸114B⩚⊴⇥⫖↰⪸4A84=⫖↰⪸-60B4","layer":3},{"info":"↩⫖↰⪸-60B4=⫖↰⪸219B8","layer":2},{"info":"⊙↵-⫖↰⪸219B8=⫖↰⪸-1","layer":1},{"info":"⇁⨣⪵⫖↰⪸-1=⫖↰⪸2A","layer":0}]}
{"id":654,"expression_no_base_symbol":"($2226$≹⇙⪍$2140$∀⇚≩($1274$⫩⊇))⊴(($3805$∲⫓$2622$)⊉≛↸($4808$⪨≂$1257$))⪒((↔($1063$↺$2470$))⫩⊇)","expression":"(⫖↰⪸1356≹⇙⪍⫖↰⪸12A4∀⇚≩(⫖↰⪸8A2⫩⊇))⊴((⫖↰⪸2251∲⫓⫖↰⪸1626)⊉≛↸(⫖↰⪸2948⪨≂⫖↰⪸889))⪒((↔(⫖↰⪸747↺⫖↰⪸151A))⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34,"operation_count":11,"complexity_ratio":3.090909090909091,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2226,"base":12},"right_expr":{"type":"numeric_atoms","value":2140,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1274,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3805,"base":12},"right_expr":{"type":"numeric_atoms","value":2622,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4808,"base":12},"right_expr":{"type":"numeric_atoms","value":1257,"base":12}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":2470,"base":12}}}}},"used_operators":["f6k1SAg4EE","Nsiff2A1zJ","LRNGc0VcxI","AHs5Up7iyr","BjRHVeLaeN","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","ruOEQAzv1W","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1300","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2226","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=2140, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1232","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1232, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3805","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=2622, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4808","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=4808, right_input=1257, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7204, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2470, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2470","layer":3},{"info":"compute unary expreesion, input=2470, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2197","layer":2},{"info":"compute unary expreesion, input=-2197, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2239","layer":1},{"info":"compute binary expreesion, left_input=-79, right_input=2239, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1356≹⇙⪍⫖↰⪸12A4∀⇚≩(⫖↰⪸8A2⫩⊇))⊴((⫖↰⪸2251∲⫓⫖↰⪸1626)⊉≛↸(⫖↰⪸2948⪨≂⫖↰⪸889))⪒((↔(⫖↰⪸747↺⫖↰⪸151A))⫩⊇)=⫖↰⪸-1300","reverse_text":"⫖↰⪸-1300=(⫖↰⪸1356≹⇙⪍⫖↰⪸12A4∀⇚≩(⫖↰⪸8A2⫩⊇))⊴((⫖↰⪸2251∲⫓⫖↰⪸1626)⊉≛↸(⫖↰⪸2948⪨≂⫖↰⪸889))⪒((↔(⫖↰⪸747↺⫖↰⪸151A))⫩⊇)","cot":[{"info":"⫖↰⪸1356≹⇙⪍⫖↰⪸12A4=NaN","layer":3},{"info":"⫖↰⪸8A2⫩⊇=⫖↰⪸-868","layer":3},{"info":"NaN∀⇚≩⫖↰⪸-868=NaN","layer":2},{"info":"⫖↰⪸2251∲⫓⫖↰⪸1626=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2948⪨≂⫖↰⪸889=⫖↰⪸4204","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸4204=⫖↰⪸0","layer":2},{"info":"NaN⊴⫖↰⪸0=⫖↰⪸-67","layer":1},{"info":"⫖↰⪸747↺⫖↰⪸151A=⫖↰⪸151A","layer":3},{"info":"↔⫖↰⪸151A=⫖↰⪸-1331","layer":2},{"info":"⫖↰⪸-1331⫩⊇=⫖↰⪸1367","layer":1},{"info":"⫖↰⪸-67⪒⫖↰⪸1367=⫖↰⪸-1300","layer":0}]}
{"id":655,"expression_no_base_symbol":"(($5506$⋥≓≎$5604$)⋓($3679$≧⫂∧$1257$)/(⫓⪴($2595$⊦⊿)))≧⫂∧(($1942$⩠)≋⫹)⨪↰⇹(⇁⨣⪵($1175$⫡⨏$1413$))","expression":"((⫖↰⪸322A⋥≓≎⫖↰⪸32B0)⋓(⫖↰⪸2167≧⫂∧⫖↰⪸889)/(⫓⪴(⫖↰⪸1603⊦⊿)))≧⫂∧((⫖↰⪸115A⩠)≋⫹)⨪↰⇹(⇁⨣⪵(⫖↰⪸81B⫡⨏⫖↰⪸999))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7920,"operation_count":12,"complexity_ratio":660.0,"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":5506,"base":12},"right_expr":{"type":"numeric_atoms","value":5604,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3679,"base":12},"right_expr":{"type":"numeric_atoms","value":1257,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2595,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1942,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1175,"base":12},"right_expr":{"type":"numeric_atoms","value":1413,"base":12}}}}},"used_operators":["Ph9nP6C5qx","XhwjNDsVaA","T2fj7uvVaJ","Qy55tPpLXF","eLxqMNBOBk","14qkJME0vr","tmPS8pqC7x","N41Kp7NANJ","sJAwomhLZr","inkyxCbjAn","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5506","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=5506, right_input=5604, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5735","layer":3},{"info":"number node, value=3679","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=1257, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=784","layer":3},{"info":"compute binary expreesion, left_input=5735, right_input=784, 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=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7864","layer":3},{"info":"compute unary expreesion, input=-7864, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=61842496","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=61842496, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1942","layer":4},{"info":"compute unary expreesion, input=1942, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"number node, value=1175","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1413, 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=9484","layer":3},{"info":"compute unary expreesion, input=9484, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸322A⋥≓≎⫖↰⪸32B0)⋓(⫖↰⪸2167≧⫂∧⫖↰⪸889)/(⫓⪴(⫖↰⪸1603⊦⊿)))≧⫂∧((⫖↰⪸115A⩠)≋⫹)⨪↰⇹(⇁⨣⪵(⫖↰⪸81B⫡⨏⫖↰⪸999))=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=((⫖↰⪸322A⋥≓≎⫖↰⪸32B0)⋓(⫖↰⪸2167≧⫂∧⫖↰⪸889)/(⫓⪴(⫖↰⪸1603⊦⊿)))≧⫂∧((⫖↰⪸115A⩠)≋⫹)⨪↰⇹(⇁⨣⪵(⫖↰⪸81B⫡⨏⫖↰⪸999))","cot":[{"info":"⫖↰⪸322A⋥≓≎⫖↰⪸32B0=⫖↰⪸339B","layer":3},{"info":"⫖↰⪸2167≧⫂∧⫖↰⪸889=⫖↰⪸554","layer":3},{"info":"⫖↰⪸339B⋓⫖↰⪸554=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1603⊦⊿=⫖↰⪸-4674","layer":3},{"info":"⫓⪴⫖↰⪸-4674=⫖↰⪸18864594","layer":2},{"info":"⫖↰⪸0/⫖↰⪸18864594=⫖↰⪸0","layer":1},{"info":"⫖↰⪸115A⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≋⫹=⫖↰⪸0","layer":2},{"info":"⫖↰⪸81B⫡⨏⫖↰⪸999=⫖↰⪸55A4","layer":3},{"info":"⇁⨣⪵⫖↰⪸55A4=NaN","layer":2},{"info":"⫖↰⪸0⨪↰⇹NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":0}]}
{"id":656,"expression_no_base_symbol":"(↯⪼(($6353$⊭↱$1373$)⪛($6690$⋓$1460$)))-($5602$-$1365$)⋓($2231$*$1408$)⨰($7462$∀⇚≩$3206$⋓(⨵≀≌$1347$))","expression":"(↯⪼((⫖↰⪸3815⊭↱⫖↰⪸965)⪛(⫖↰⪸3A56⋓⫖↰⪸A18)))-(⫖↰⪸32AA-⫖↰⪸959)⋓(⫖↰⪸135B*⫖↰⪸994)⨰(⫖↰⪸439A∀⇚≩⫖↰⪸1A32⋓(⨵≀≌⫖↰⪸943))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":53733,"operation_count":12,"complexity_ratio":4477.75,"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":6353,"base":12},"right_expr":{"type":"numeric_atoms","value":1373,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6690,"base":12},"right_expr":{"type":"numeric_atoms","value":1460,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5602,"base":12},"right_expr":{"type":"numeric_atoms","value":1365,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2231,"base":12},"right_expr":{"type":"numeric_atoms","value":1408,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7462,"base":12},"right_expr":{"type":"numeric_atoms","value":3206,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1347,"base":12}}}}},"used_operators":["rysDP5nf3Z","8jW3W4yZS5","uFcxV4UQCh","COABgblf1C","T2fj7uvVaJ","eewbuw0ToL","9HNa5Wba9A","LRNGc0VcxI","srAu1WTS94"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸-27","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6353","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=1373, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9955","layer":3},{"info":"number node, value=6690","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=6690, right_input=1460, 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=-9955, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=5602","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=5602, right_input=1365, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4237","layer":3},{"info":"number node, value=2231","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=1408, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3141248","layer":3},{"info":"compute binary expreesion, left_input=4237, right_input=3141248, 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=7462","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=7462, right_input=3206, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4041","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4041, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=10, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-31","layer":0}],"base":12,"result_base":12,"text":"(↯⪼((⫖↰⪸3815⊭↱⫖↰⪸965)⪛(⫖↰⪸3A56⋓⫖↰⪸A18)))-(⫖↰⪸32AA-⫖↰⪸959)⋓(⫖↰⪸135B*⫖↰⪸994)⨰(⫖↰⪸439A∀⇚≩⫖↰⪸1A32⋓(⨵≀≌⫖↰⪸943))=⫖↰⪸-27","reverse_text":"⫖↰⪸-27=(↯⪼((⫖↰⪸3815⊭↱⫖↰⪸965)⪛(⫖↰⪸3A56⋓⫖↰⪸A18)))-(⫖↰⪸32AA-⫖↰⪸959)⋓(⫖↰⪸135B*⫖↰⪸994)⨰(⫖↰⪸439A∀⇚≩⫖↰⪸1A32⋓(⨵≀≌⫖↰⪸943))","cot":[{"info":"⫖↰⪸3815⊭↱⫖↰⪸965=⫖↰⪸-5917","layer":3},{"info":"⫖↰⪸3A56⋓⫖↰⪸A18=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-5917⪛⫖↰⪸0=NaN","layer":2},{"info":"↯⪼NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸32AA-⫖↰⪸959=⫖↰⪸2551","layer":3},{"info":"⫖↰⪸135B*⫖↰⪸994=⫖↰⪸1075A28","layer":3},{"info":"⫖↰⪸2551⋓⫖↰⪸1075A28=⫖↰⪸0","layer":2},{"info":"⫖↰⪸439A∀⇚≩⫖↰⪸1A32=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸943=⫖↰⪸-2409","layer":3},{"info":"NaN⋓⫖↰⪸-2409=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⨰⫖↰⪸0=⫖↰⪸A","layer":1},{"info":"⫖↰⪸-19-⫖↰⪸A=⫖↰⪸-27","layer":0}]}
{"id":657,"expression_no_base_symbol":"(($4256$⨐⩸⫘$2207$)⪘⫢(-$5143$)⫸⊐(-$5939$⫥∨⫟$1303$))⊘","expression":"((⫖↰⪸2568⨐⩸⫘⫖↰⪸133B)⪘⫢(-⫖↰⪸2B87)⫸⊐(-⫖↰⪸352B⫥∨⫟⫖↰⪸907))⊘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":191,"operation_count":7,"complexity_ratio":27.285714285714285,"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":4256,"base":12},"right_expr":{"type":"numeric_atoms","value":2207,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5143,"base":12}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5939,"base":12},"right_expr":{"type":"numeric_atoms","value":1303,"base":12}}}}},"used_operators":["gu96TGCTMs","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","t8gj7n24qd","KYD54nUTWz"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4256","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=4256, right_input=2207, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5143","layer":4},{"info":"compute unary expreesion, input=5143, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5143","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5143, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=5939","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=5939, right_input=1303, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2568⨐⩸⫘⫖↰⪸133B)⪘⫢(-⫖↰⪸2B87)⫸⊐(-⫖↰⪸352B⫥∨⫟⫖↰⪸907))⊘=NaN","reverse_text":"NaN=((⫖↰⪸2568⨐⩸⫘⫖↰⪸133B)⪘⫢(-⫖↰⪸2B87)⫸⊐(-⫖↰⪸352B⫥∨⫟⫖↰⪸907))⊘","cot":[{"info":"⫖↰⪸2568⨐⩸⫘⫖↰⪸133B=NaN","layer":3},{"info":"-⫖↰⪸2B87=⫖↰⪸-2B87","layer":3},{"info":"NaN⪘⫢⫖↰⪸-2B87=NaN","layer":2},{"info":"⫖↰⪸352B⫥∨⫟⫖↰⪸907=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"⊙↵-($1719$≧⫂∧$1207$≎⊠⪸$1049$⋓$1748$↙(⋗⩬⋾($1290$⊠≄⫣)))","expression":"⊙↵-(⫖↰⪸BB3≧⫂∧⫖↰⪸847≎⊠⪸⫖↰⪸735⋓⫖↰⪸1018↙(⋗⩬⋾(⫖↰⪸8B6⊠≄⫣)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":321,"operation_count":7,"complexity_ratio":45.857142857142854,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1719,"base":12},"right_expr":{"type":"numeric_atoms","value":1207,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1049,"base":12},"right_expr":{"type":"numeric_atoms","value":1748,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1290,"base":12}}}}},"used_operators":["oWn0xqSxBt","yyfyN0ffXY","bJkvcejdHO","Ph9nP6C5qx","T2fj7uvVaJ","DpFCA1CohY","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1207, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=734","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1748, 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=734, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=189633","layer":2},{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=189633, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', 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":"⊙↵-(⫖↰⪸BB3≧⫂∧⫖↰⪸847≎⊠⪸⫖↰⪸735⋓⫖↰⪸1018↙(⋗⩬⋾(⫖↰⪸8B6⊠≄⫣)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-(⫖↰⪸BB3≧⫂∧⫖↰⪸847≎⊠⪸⫖↰⪸735⋓⫖↰⪸1018↙(⋗⩬⋾(⫖↰⪸8B6⊠≄⫣)))","cot":[{"info":"⫖↰⪸BB3≧⫂∧⫖↰⪸847=⫖↰⪸512","layer":3},{"info":"⫖↰⪸735⋓⫖↰⪸1018=⫖↰⪸0","layer":3},{"info":"⫖↰⪸512≎⊠⪸⫖↰⪸0=⫖↰⪸918A9","layer":2},{"info":"⫖↰⪸8B6⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⋗⩬⋾⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸918A9↙⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":659,"expression_no_base_symbol":"((($1303$-$6310$)↙$5940$⇷$2476$)⨐⩸⫘(⫓⪴$2557$)∑⇟⊟($7438$∑⇟⊟$3172$))⋥≓≎(($5954$≹⇙⪍$1204$⇼⇔∾(↥$2873$))↺(($3059$∲⫓$7176$)⇼⇔∾($2125$⇋≉)))","expression":"(((⫖↰⪸907-⫖↰⪸379A)↙⫖↰⪸3530⇷⫖↰⪸1524)⨐⩸⫘(⫓⪴⫖↰⪸1591)∑⇟⊟(⫖↰⪸437A∑⇟⊟⫖↰⪸1A04))⋥≓≎((⫖↰⪸3542≹⇙⪍⫖↰⪸844⇼⇔∾(↥⫖↰⪸17B5))↺((⫖↰⪸192B∲⫓⫖↰⪸41A0)⇼⇔∾(⫖↰⪸1291⇋≉)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85798,"operation_count":15,"complexity_ratio":5719.866666666667,"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":1303,"base":12},"right_expr":{"type":"numeric_atoms","value":6310,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5940,"base":12},"right_expr":{"type":"numeric_atoms","value":2476,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2557,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7438,"base":12},"right_expr":{"type":"numeric_atoms","value":3172,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5954,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2873,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3059,"base":12},"right_expr":{"type":"numeric_atoms","value":7176,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2125,"base":12}}}}},"used_operators":["Qy55tPpLXF","fu6greOZ01","yyfyN0ffXY","rysDP5nf3Z","mp7IySMOzn","U7g4x0WXJJ","eLxqMNBOBk","7j4O788W3g","tifHPKVTfV","AHs5Up7iyr","A8NUZmVepG","i8ToyICDmI","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"number node, value=6310","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=6310, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5007","layer":3},{"info":"number node, value=5940","layer":4},{"info":"number node, value=2476","layer":4},{"info":"compute binary expreesion, left_input=5940, right_input=2476, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4952","layer":3},{"info":"compute binary expreesion, left_input=-5007, right_input=4952, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5007","layer":2},{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6538249","layer":3},{"info":"number node, value=7438","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=7438, right_input=3172, 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=6538249, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5007, 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=5954","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=5954, right_input=1204, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2873","layer":4},{"info":"compute unary expreesion, input=2873, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3059","layer":4},{"info":"number node, value=7176","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=7176, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2125","layer":4},{"info":"compute unary expreesion, input=2125, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4152","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4152, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4152","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4152, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4152","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4152, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸907-⫖↰⪸379A)↙⫖↰⪸3530⇷⫖↰⪸1524)⨐⩸⫘(⫓⪴⫖↰⪸1591)∑⇟⊟(⫖↰⪸437A∑⇟⊟⫖↰⪸1A04))⋥≓≎((⫖↰⪸3542≹⇙⪍⫖↰⪸844⇼⇔∾(↥⫖↰⪸17B5))↺((⫖↰⪸192B∲⫓⫖↰⪸41A0)⇼⇔∾(⫖↰⪸1291⇋≉)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(((⫖↰⪸907-⫖↰⪸379A)↙⫖↰⪸3530⇷⫖↰⪸1524)⨐⩸⫘(⫓⪴⫖↰⪸1591)∑⇟⊟(⫖↰⪸437A∑⇟⊟⫖↰⪸1A04))⋥≓≎((⫖↰⪸3542≹⇙⪍⫖↰⪸844⇼⇔∾(↥⫖↰⪸17B5))↺((⫖↰⪸192B∲⫓⫖↰⪸41A0)⇼⇔∾(⫖↰⪸1291⇋≉)))","cot":[{"info":"⫖↰⪸907-⫖↰⪸379A=⫖↰⪸-2A93","layer":3},{"info":"⫖↰⪸3530⇷⫖↰⪸1524=⫖↰⪸2A48","layer":3},{"info":"⫖↰⪸-2A93↙⫖↰⪸2A48=⫖↰⪸-2A93","layer":2},{"info":"⫓⪴⫖↰⪸1591=⫖↰⪸2233861","layer":3},{"info":"⫖↰⪸437A∑⇟⊟⫖↰⪸1A04=NaN","layer":3},{"info":"⫖↰⪸2233861∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸-2A93⨐⩸⫘NaN=NaN","layer":1},{"info":"⫖↰⪸3542≹⇙⪍⫖↰⪸844=NaN","layer":3},{"info":"↥⫖↰⪸17B5=⫖↰⪸15","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸15=NaN","layer":2},{"info":"⫖↰⪸192B∲⫓⫖↰⪸41A0=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1291⇋≉=⫖↰⪸24A0","layer":3},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸24A0=⫖↰⪸24A0","layer":2},{"info":"NaN↺⫖↰⪸24A0=⫖↰⪸24A0","layer":1},{"info":"NaN⋥≓≎⫖↰⪸24A0=⫖↰⪸57","layer":0}]}
{"id":660,"expression_no_base_symbol":"(⊙↵-$1095$)⪘⫢($5659$⨸⪁$4004$)⨸⪁((⫛⫱⨽$6964$)⨸⪁$2961$↙$4328$)⩨((($1271$⪠⩆⊳)⩚⊴⇥$1416$∑⇟⊟$4301$)⩠)","expression":"(⊙↵-⫖↰⪸773)⪘⫢(⫖↰⪸3337⨸⪁⫖↰⪸2398)⨸⪁((⫛⫱⨽⫖↰⪸4044)⨸⪁⫖↰⪸1869↙⫖↰⪸2608)⩨(((⫖↰⪸89B⪠⩆⊳)⩚⊴⇥⫖↰⪸9A0∑⇟⊟⫖↰⪸25A5)⩠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6953,"operation_count":12,"complexity_ratio":579.4166666666666,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5659,"base":12},"right_expr":{"type":"numeric_atoms","value":4004,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6964,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2961,"base":12},"right_expr":{"type":"numeric_atoms","value":4328,"base":12}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1271,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":4301,"base":12}}}}},"used_operators":["2DlMacCsIx","g55IO6H4Gj","oacrs7FA3X","oWn0xqSxBt","DlLNRPXxWL","yyfyN0ffXY","sJAwomhLZr","NTOWxs364D","JLbD19bQDL","U7g4x0WXJJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5659","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=5659, right_input=4004, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19326","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=19326, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1160","layer":2},{"info":"number node, value=6964","layer":4},{"info":"compute unary expreesion, input=6964, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2961","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=4328, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12984","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12984, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-25968","layer":2},{"info":"compute binary expreesion, left_input=-1160, right_input=-25968, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-54256","layer":1},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, 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=1416","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=4301, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-54256, right_input=nan, 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":"(⊙↵-⫖↰⪸773)⪘⫢(⫖↰⪸3337⨸⪁⫖↰⪸2398)⨸⪁((⫛⫱⨽⫖↰⪸4044)⨸⪁⫖↰⪸1869↙⫖↰⪸2608)⩨(((⫖↰⪸89B⪠⩆⊳)⩚⊴⇥⫖↰⪸9A0∑⇟⊟⫖↰⪸25A5)⩠)=NaN","reverse_text":"NaN=(⊙↵-⫖↰⪸773)⪘⫢(⫖↰⪸3337⨸⪁⫖↰⪸2398)⨸⪁((⫛⫱⨽⫖↰⪸4044)⨸⪁⫖↰⪸1869↙⫖↰⪸2608)⩨(((⫖↰⪸89B⪠⩆⊳)⩚⊴⇥⫖↰⪸9A0∑⇟⊟⫖↰⪸25A5)⩠)","cot":[{"info":"⊙↵-⫖↰⪸773=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸3337⨸⪁⫖↰⪸2398=⫖↰⪸B226","layer":3},{"info":"⫖↰⪸-1⪘⫢⫖↰⪸B226=⫖↰⪸-808","layer":2},{"info":"⫛⫱⨽⫖↰⪸4044=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1869↙⫖↰⪸2608=⫖↰⪸-7620","layer":3},{"info":"⫖↰⪸0⨸⪁⫖↰⪸-7620=⫖↰⪸-13040","layer":2},{"info":"⫖↰⪸-808⨸⪁⫖↰⪸-13040=⫖↰⪸-27494","layer":1},{"info":"⫖↰⪸89B⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸9A0∑⇟⊟⫖↰⪸25A5=NaN","layer":3},{"info":"⫖↰⪸0⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫖↰⪸-27494⩨NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"(⫛⫱⨽(($2232$↪⪝)⨎($2090$⩨$1475$)))⋓(↔(($3988$⩷∴$1498$)∑⇟⊟($2097$≧⫂∧$2028$)))","expression":"(⫛⫱⨽((⫖↰⪸1360↪⪝)⨎(⫖↰⪸1262⩨⫖↰⪸A2B)))⋓(↔((⫖↰⪸2384⩷∴⫖↰⪸A4A)∑⇟⊟(⫖↰⪸1269≧⫂∧⫖↰⪸1210)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1660,"operation_count":9,"complexity_ratio":184.44444444444446,"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":2232,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2090,"base":12},"right_expr":{"type":"numeric_atoms","value":1475,"base":12}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3988,"base":12},"right_expr":{"type":"numeric_atoms","value":1498,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2097,"base":12},"right_expr":{"type":"numeric_atoms","value":2028,"base":12}}}}},"used_operators":["T2fj7uvVaJ","DlLNRPXxWL","rJVOvQCfKK","l07mrZUIn9","2DlMacCsIx","ruOEQAzv1W","U7g4x0WXJJ","9FxExcQeMw","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=136558224","layer":3},{"info":"number node, value=2090","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1475, 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=136558224, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3988","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=1498, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4948","layer":3},{"info":"number node, value=2097","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=2028, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1555","layer":3},{"info":"compute binary expreesion, left_input=4948, right_input=1555, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽((⫖↰⪸1360↪⪝)⨎(⫖↰⪸1262⩨⫖↰⪸A2B)))⋓(↔((⫖↰⪸2384⩷∴⫖↰⪸A4A)∑⇟⊟(⫖↰⪸1269≧⫂∧⫖↰⪸1210)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫛⫱⨽((⫖↰⪸1360↪⪝)⨎(⫖↰⪸1262⩨⫖↰⪸A2B)))⋓(↔((⫖↰⪸2384⩷∴⫖↰⪸A4A)∑⇟⊟(⫖↰⪸1269≧⫂∧⫖↰⪸1210)))","cot":[{"info":"⫖↰⪸1360↪⪝=⫖↰⪸39896900","layer":3},{"info":"⫖↰⪸1262⩨⫖↰⪸A2B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸39896900⨎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫛⫱⨽⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2384⩷∴⫖↰⪸A4A=⫖↰⪸2A44","layer":3},{"info":"⫖↰⪸1269≧⫂∧⫖↰⪸1210=⫖↰⪸A97","layer":3},{"info":"⫖↰⪸2A44∑⇟⊟⫖↰⪸A97=NaN","layer":2},{"info":"↔NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸0⋓⫖↰⪸-B2=⫖↰⪸0","layer":0}]}
{"id":662,"expression_no_base_symbol":"(⩦⩻⨪(⩦⩻⨪($1417$⇋≉)))↙($1509$⊭↱$1297$⊭↱$1511$⨎$1680$*$2856$⪢$1217$∑⇟⊟$2026$∀⇚≩$4630$)","expression":"(⩦⩻⨪(⩦⩻⨪(⫖↰⪸9A1⇋≉)))↙(⫖↰⪸A59⊭↱⫖↰⪸901⊭↱⫖↰⪸A5B⨎⫖↰⪸B80*⫖↰⪸17A0⪢⫖↰⪸855∑⇟⊟⫖↰⪸120A∀⇚≩⫖↰⪸281A)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15637,"operation_count":11,"complexity_ratio":1421.5454545454545,"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":1417,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1509,"base":12},"right_expr":{"type":"numeric_atoms","value":1297,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1511,"base":12},"right_expr":{"type":"numeric_atoms","value":1680,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2856,"base":12},"right_expr":{"type":"numeric_atoms","value":1217,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2026,"base":12},"right_expr":{"type":"numeric_atoms","value":4630,"base":12}}}}},"used_operators":["yyfyN0ffXY","2td37pGCOC","XIabStNQrY","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","U7g4x0WXJJ","dWAJyo7jo9","LRNGc0VcxI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2736","layer":3},{"info":"compute unary expreesion, input=2736, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2736","layer":2},{"info":"compute unary expreesion, input=2736, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2736","layer":1},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1297, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-419","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1680, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1680","layer":3},{"info":"compute binary expreesion, left_input=-419, right_input=1680, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4203","layer":2},{"info":"number node, value=2856","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=1217, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2026","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=4630, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4203, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2736, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪(⩦⩻⨪(⫖↰⪸9A1⇋≉)))↙(⫖↰⪸A59⊭↱⫖↰⪸901⊭↱⫖↰⪸A5B⨎⫖↰⪸B80*⫖↰⪸17A0⪢⫖↰⪸855∑⇟⊟⫖↰⪸120A∀⇚≩⫖↰⪸281A)=NaN","reverse_text":"NaN=(⩦⩻⨪(⩦⩻⨪(⫖↰⪸9A1⇋≉)))↙(⫖↰⪸A59⊭↱⫖↰⪸901⊭↱⫖↰⪸A5B⨎⫖↰⪸B80*⫖↰⪸17A0⪢⫖↰⪸855∑⇟⊟⫖↰⪸120A∀⇚≩⫖↰⪸281A)","cot":[{"info":"⫖↰⪸9A1⇋≉=⫖↰⪸1700","layer":3},{"info":"⩦⩻⨪⫖↰⪸1700=⫖↰⪸1700","layer":2},{"info":"⩦⩻⨪⫖↰⪸1700=⫖↰⪸1700","layer":1},{"info":"⫖↰⪸A59⊭↱⫖↰⪸901=⫖↰⪸-2AB","layer":3},{"info":"⫖↰⪸A5B⨎⫖↰⪸B80=⫖↰⪸B80","layer":3},{"info":"⫖↰⪸-2AB⊭↱⫖↰⪸B80=⫖↰⪸2523","layer":2},{"info":"⫖↰⪸17A0⪢⫖↰⪸855=NaN","layer":3},{"info":"⫖↰⪸120A∀⇚≩⫖↰⪸281A=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸2523*NaN=NaN","layer":1},{"info":"⫖↰⪸1700↙NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"⨑⩽⪐(($5866$⋷$2698$)⪛($2974$∼$5234$)⊉≛↸($1304$⊉≛↸$5572$)⨓($1663$⨸⪁$5190$))","expression":"⨑⩽⪐((⫖↰⪸348A⋷⫖↰⪸168A)⪛(⫖↰⪸187A∼⫖↰⪸3042)⊉≛↸(⫖↰⪸908⊉≛↸⫖↰⪸3284)⨓(⫖↰⪸B67⨸⪁⫖↰⪸3006))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13793,"operation_count":8,"complexity_ratio":1724.125,"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":5866,"base":12},"right_expr":{"type":"numeric_atoms","value":2698,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2974,"base":12},"right_expr":{"type":"numeric_atoms","value":5234,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1304,"base":12},"right_expr":{"type":"numeric_atoms","value":5572,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1663,"base":12},"right_expr":{"type":"numeric_atoms","value":5190,"base":12}}}}},"used_operators":["AF7qkfDlqP","DZ8iAZOCBD","uFcxV4UQCh","23Mk6UjR3U","DyGG3AbaNP","3ViojmjbAp","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5866","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=5866, right_input=2698, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-470","layer":3},{"info":"number node, value=2974","layer":4},{"info":"number node, value=5234","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=5234, 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=-470, 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=1304","layer":4},{"info":"number node, value=5572","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=5572, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2608","layer":3},{"info":"number node, value=1663","layer":4},{"info":"number node, value=5190","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=5190, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13706","layer":3},{"info":"compute binary expreesion, left_input=2608, right_input=13706, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-13709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13709, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐((⫖↰⪸348A⋷⫖↰⪸168A)⪛(⫖↰⪸187A∼⫖↰⪸3042)⊉≛↸(⫖↰⪸908⊉≛↸⫖↰⪸3284)⨓(⫖↰⪸B67⨸⪁⫖↰⪸3006))=NaN","reverse_text":"NaN=⨑⩽⪐((⫖↰⪸348A⋷⫖↰⪸168A)⪛(⫖↰⪸187A∼⫖↰⪸3042)⊉≛↸(⫖↰⪸908⊉≛↸⫖↰⪸3284)⨓(⫖↰⪸B67⨸⪁⫖↰⪸3006))","cot":[{"info":"⫖↰⪸348A⋷⫖↰⪸168A=⫖↰⪸-332","layer":3},{"info":"⫖↰⪸187A∼⫖↰⪸3042=NaN","layer":3},{"info":"⫖↰⪸-332⪛NaN=NaN","layer":2},{"info":"⫖↰⪸908⊉≛↸⫖↰⪸3284=⫖↰⪸1614","layer":3},{"info":"⫖↰⪸B67⨸⪁⫖↰⪸3006=⫖↰⪸7B22","layer":3},{"info":"⫖↰⪸1614⨓⫖↰⪸7B22=⫖↰⪸-7B25","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-7B25=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"((($2729$⫌⩹⨱)⋷$2197$⊴$7946$)%$6562$⨟⋌⩍$1964$%$1571$⋝⋈⪟$4501$)⩨($2646$≭$3694$↛⩡⫤)≧⫂∧(⫓⪴($6544$≧⫂∧$7236$))","expression":"(((⫖↰⪸16B5⫌⩹⨱)⋷⫖↰⪸1331⊴⫖↰⪸4722)%⫖↰⪸396A⨟⋌⩍⫖↰⪸1178%⫖↰⪸AAB⋝⋈⪟⫖↰⪸2731)⩨(⫖↰⪸1646≭⫖↰⪸217A↛⩡⫤)≧⫂∧(⫓⪴(⫖↰⪸3954≧⫂∧⫖↰⪸4230))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14801,"operation_count":13,"complexity_ratio":1138.5384615384614,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2729,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2197,"base":12},"right_expr":{"type":"numeric_atoms","value":7946,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6562,"base":12},"right_expr":{"type":"numeric_atoms","value":1964,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1571,"base":12},"right_expr":{"type":"numeric_atoms","value":4501,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2646,"base":12},"right_expr":{"type":"numeric_atoms","value":3694,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6544,"base":12},"right_expr":{"type":"numeric_atoms","value":7236,"base":12}}}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","23Mk6UjR3U","EBcxylXtPf","Nsiff2A1zJ","rGHVDoGpnC","2DDjHMKMc0","Ph9nP6C5qx","FU0Cs4j7VP","rxpJgHHUmx","eLxqMNBOBk"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2729","layer":4},{"info":"compute unary expreesion, input=2729, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6859","layer":3},{"info":"number node, value=2197","layer":4},{"info":"number node, value=7946","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=7946, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6859, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=6562","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=6562, right_input=1964, 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=1571","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=4501, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1571","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1571, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2646","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=3694, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"number node, value=6544","layer":4},{"info":"number node, value=7236","layer":4},{"info":"compute binary expreesion, left_input=6544, right_input=7236, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6763","layer":3},{"info":"compute unary expreesion, input=6763, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=45738169","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=45738169, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=45737696","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=45737696, 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":"(((⫖↰⪸16B5⫌⩹⨱)⋷⫖↰⪸1331⊴⫖↰⪸4722)%⫖↰⪸396A⨟⋌⩍⫖↰⪸1178%⫖↰⪸AAB⋝⋈⪟⫖↰⪸2731)⩨(⫖↰⪸1646≭⫖↰⪸217A↛⩡⫤)≧⫂∧(⫓⪴(⫖↰⪸3954≧⫂∧⫖↰⪸4230))=NaN","reverse_text":"NaN=(((⫖↰⪸16B5⫌⩹⨱)⋷⫖↰⪸1331⊴⫖↰⪸4722)%⫖↰⪸396A⨟⋌⩍⫖↰⪸1178%⫖↰⪸AAB⋝⋈⪟⫖↰⪸2731)⩨(⫖↰⪸1646≭⫖↰⪸217A↛⩡⫤)≧⫂∧(⫓⪴(⫖↰⪸3954≧⫂∧⫖↰⪸4230))","cot":[{"info":"⫖↰⪸16B5⫌⩹⨱=⫖↰⪸3B77","layer":3},{"info":"⫖↰⪸1331⊴⫖↰⪸4722=NaN","layer":3},{"info":"⫖↰⪸3B77⋷NaN=NaN","layer":2},{"info":"⫖↰⪸396A⨟⋌⩍⫖↰⪸1178=NaN","layer":3},{"info":"⫖↰⪸AAB⋝⋈⪟⫖↰⪸2731=⫖↰⪸AAB","layer":3},{"info":"NaN%⫖↰⪸AAB=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫖↰⪸1646≭⫖↰⪸217A=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⫖↰⪸3954≧⫂∧⫖↰⪸4230=⫖↰⪸3AB7","layer":3},{"info":"⫓⪴⫖↰⪸3AB7=⫖↰⪸13398A21","layer":2},{"info":"NaN≧⫂∧⫖↰⪸13398A21=⫖↰⪸133986A8","layer":1},{"info":"NaN⩨⫖↰⪸133986A8=NaN","layer":0}]}
{"id":665,"expression_no_base_symbol":"($2924$⨟⋌⩍$1052$⇷($2048$⨓$4397$))⪛(⊄⩳↩($2255$⨓$1240$))⫩⊇","expression":"(⫖↰⪸1838⨟⋌⩍⫖↰⪸738⇷(⫖↰⪸1228⨓⫖↰⪸2665))⪛(⊄⩳↩(⫖↰⪸137B⨓⫖↰⪸874))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5668,"operation_count":7,"complexity_ratio":809.7142857142857,"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":2924,"base":12},"right_expr":{"type":"numeric_atoms","value":1052,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2048,"base":12},"right_expr":{"type":"numeric_atoms","value":4397,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2255,"base":12},"right_expr":{"type":"numeric_atoms","value":1240,"base":12}}}}},"used_operators":["BjRHVeLaeN","uFcxV4UQCh","mp7IySMOzn","rGHVDoGpnC","3ViojmjbAp","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2924","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=1052, 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=2048","layer":4},{"info":"number node, value=4397","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=4397, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4400, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2255","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=1240, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1243","layer":3},{"info":"compute unary expreesion, input=-1243, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3729","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3729, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1838⨟⋌⩍⫖↰⪸738⇷(⫖↰⪸1228⨓⫖↰⪸2665))⪛(⊄⩳↩(⫖↰⪸137B⨓⫖↰⪸874))⫩⊇=NaN","reverse_text":"NaN=(⫖↰⪸1838⨟⋌⩍⫖↰⪸738⇷(⫖↰⪸1228⨓⫖↰⪸2665))⪛(⊄⩳↩(⫖↰⪸137B⨓⫖↰⪸874))⫩⊇","cot":[{"info":"⫖↰⪸1838⨟⋌⩍⫖↰⪸738=NaN","layer":3},{"info":"⫖↰⪸1228⨓⫖↰⪸2665=⫖↰⪸-2668","layer":3},{"info":"NaN⇷⫖↰⪸-2668=NaN","layer":2},{"info":"⫖↰⪸137B⨓⫖↰⪸874=⫖↰⪸-877","layer":3},{"info":"⊄⩳↩⫖↰⪸-877=⫖↰⪸21A9","layer":2},{"info":"NaN⪛⫖↰⪸21A9=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(∂($1263$⩷∴$3719$+⇶⊼($2176$⫥∨⫟$1887$)))⨓(($4276$≎⊠⪸$1651$⋷(∥⊫$7925$))⨰(($4366$⊭↱$1791$)≧⫂∧($4370$/$2866$)))","expression":"(∂(⫖↰⪸893⩷∴⫖↰⪸219B+⇶⊼(⫖↰⪸1314⫥∨⫟⫖↰⪸1113)))⨓((⫖↰⪸2584≎⊠⪸⫖↰⪸B57⋷(∥⊫⫖↰⪸4705))⨰((⫖↰⪸263A⊭↱⫖↰⪸1053)≧⫂∧(⫖↰⪸2642/⫖↰⪸17AA)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":460,"operation_count":12,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":3719,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2176,"base":12},"right_expr":{"type":"numeric_atoms","value":1887,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4276,"base":12},"right_expr":{"type":"numeric_atoms","value":1651,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7925,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4366,"base":12},"right_expr":{"type":"numeric_atoms","value":1791,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4370,"base":12},"right_expr":{"type":"numeric_atoms","value":2866,"base":12}}}}},"used_operators":["3ViojmjbAp","Uaa54Peajs","TpPTUOHfaN","9FxExcQeMw","KYD54nUTWz","eewbuw0ToL","23Mk6UjR3U","bJkvcejdHO","P8v4zCKN1o","Ph9nP6C5qx","COABgblf1C","XhwjNDsVaA"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"number node, value=3719","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=3719, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4944","layer":3},{"info":"number node, value=2176","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1887, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4944, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=4276","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=4276, right_input=1651, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1107011","layer":3},{"info":"number node, value=7925","layer":4},{"info":"compute unary expreesion, input=7925, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8793","layer":3},{"info":"compute binary expreesion, left_input=1107011, right_input=8793, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1089425","layer":2},{"info":"number node, value=4366","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1791, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5145","layer":3},{"info":"number node, value=4370","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=2866, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-5145, right_input=1, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-472","layer":2},{"info":"compute binary expreesion, left_input=-1089425, right_input=-472, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1088943","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1088943, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂(⫖↰⪸893⩷∴⫖↰⪸219B+⇶⊼(⫖↰⪸1314⫥∨⫟⫖↰⪸1113)))⨓((⫖↰⪸2584≎⊠⪸⫖↰⪸B57⋷(∥⊫⫖↰⪸4705))⨰((⫖↰⪸263A⊭↱⫖↰⪸1053)≧⫂∧(⫖↰⪸2642/⫖↰⪸17AA)))=NaN","reverse_text":"NaN=(∂(⫖↰⪸893⩷∴⫖↰⪸219B+⇶⊼(⫖↰⪸1314⫥∨⫟⫖↰⪸1113)))⨓((⫖↰⪸2584≎⊠⪸⫖↰⪸B57⋷(∥⊫⫖↰⪸4705))⨰((⫖↰⪸263A⊭↱⫖↰⪸1053)≧⫂∧(⫖↰⪸2642/⫖↰⪸17AA)))","cot":[{"info":"⫖↰⪸893⩷∴⫖↰⪸219B=⫖↰⪸-2A40","layer":3},{"info":"⫖↰⪸1314⫥∨⫟⫖↰⪸1113=NaN","layer":3},{"info":"⫖↰⪸-2A40+⇶⊼NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸2584≎⊠⪸⫖↰⪸B57=⫖↰⪸45476B","layer":3},{"info":"∥⊫⫖↰⪸4705=⫖↰⪸5109","layer":3},{"info":"⫖↰⪸45476B⋷⫖↰⪸5109=⫖↰⪸-446555","layer":2},{"info":"⫖↰⪸263A⊭↱⫖↰⪸1053=⫖↰⪸-2B89","layer":3},{"info":"⫖↰⪸2642/⫖↰⪸17AA=⫖↰⪸1","layer":3},{"info":"⫖↰⪸-2B89≧⫂∧⫖↰⪸1=⫖↰⪸-334","layer":2},{"info":"⫖↰⪸-446555⨰⫖↰⪸-334=⫖↰⪸-446213","layer":1},{"info":"NaN⨓⫖↰⪸-446213=NaN","layer":0}]}
{"id":667,"expression_no_base_symbol":"($3498$≎⊠⪸$2147$)≧⫂∧($5706$%$5385$)⩨(($1018$⪒$5030$)-$2836$⪘⫢$1643$)/((↔$3140$)⪢($4566$⩨$5579$)⊠≄⫣)","expression":"(⫖↰⪸2036≎⊠⪸⫖↰⪸12AB)≧⫂∧(⫖↰⪸3376%⫖↰⪸3149)⩨((⫖↰⪸70A⪒⫖↰⪸2AB2)-⫖↰⪸1784⪘⫢⫖↰⪸B4B)/((↔⫖↰⪸1998)⪢(⫖↰⪸2786⩨⫖↰⪸328B)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5640,"operation_count":12,"complexity_ratio":470.0,"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":3498,"base":12},"right_expr":{"type":"numeric_atoms","value":2147,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5706,"base":12},"right_expr":{"type":"numeric_atoms","value":5385,"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":5030,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2836,"base":12},"right_expr":{"type":"numeric_atoms","value":1643,"base":12}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3140,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4566,"base":12},"right_expr":{"type":"numeric_atoms","value":5579,"base":12}}}}},"used_operators":["XhwjNDsVaA","2DlMacCsIx","Ph9nP6C5qx","bJkvcejdHO","k8jYdgA6NY","rysDP5nf3Z","f6k1SAg4EE","oacrs7FA3X","DIvbN7qnHd","dWAJyo7jo9","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3498","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=3498, right_input=2147, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=905509","layer":3},{"info":"number node, value=5706","layer":4},{"info":"number node, value=5385","layer":4},{"info":"compute binary expreesion, left_input=5706, right_input=5385, op_id = k8jYdgA6NY binary_op_definition= 'None', output=321","layer":3},{"info":"compute binary expreesion, left_input=905509, right_input=321, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-152","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=5030","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=5030, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6048","layer":3},{"info":"number node, value=2836","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=1643, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5548","layer":3},{"info":"compute binary expreesion, left_input=-6048, right_input=5548, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-11596","layer":2},{"info":"compute binary expreesion, left_input=-152, right_input=-11596, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-228","layer":1},{"info":"number node, value=3140","layer":4},{"info":"compute unary expreesion, input=3140, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2867","layer":3},{"info":"number node, value=4566","layer":4},{"info":"number node, value=5579","layer":4},{"info":"compute binary expreesion, left_input=4566, right_input=5579, 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=-2867, right_input=-3, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-228, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2036≎⊠⪸⫖↰⪸12AB)≧⫂∧(⫖↰⪸3376%⫖↰⪸3149)⩨((⫖↰⪸70A⪒⫖↰⪸2AB2)-⫖↰⪸1784⪘⫢⫖↰⪸B4B)/((↔⫖↰⪸1998)⪢(⫖↰⪸2786⩨⫖↰⪸328B)⊠≄⫣)=NaN","reverse_text":"NaN=(⫖↰⪸2036≎⊠⪸⫖↰⪸12AB)≧⫂∧(⫖↰⪸3376%⫖↰⪸3149)⩨((⫖↰⪸70A⪒⫖↰⪸2AB2)-⫖↰⪸1784⪘⫢⫖↰⪸B4B)/((↔⫖↰⪸1998)⪢(⫖↰⪸2786⩨⫖↰⪸328B)⊠≄⫣)","cot":[{"info":"⫖↰⪸2036≎⊠⪸⫖↰⪸12AB=⫖↰⪸378031","layer":3},{"info":"⫖↰⪸3376%⫖↰⪸3149=⫖↰⪸229","layer":3},{"info":"⫖↰⪸378031≧⫂∧⫖↰⪸229=⫖↰⪸-108","layer":2},{"info":"⫖↰⪸70A⪒⫖↰⪸2AB2=⫖↰⪸-3600","layer":3},{"info":"⫖↰⪸1784⪘⫢⫖↰⪸B4B=⫖↰⪸3264","layer":3},{"info":"⫖↰⪸-3600-⫖↰⪸3264=⫖↰⪸-6864","layer":2},{"info":"⫖↰⪸-108⩨⫖↰⪸-6864=⫖↰⪸-170","layer":1},{"info":"↔⫖↰⪸1998=⫖↰⪸-17AB","layer":3},{"info":"⫖↰⪸2786⩨⫖↰⪸328B=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸-17AB⪢⫖↰⪸-3=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-170/⫖↰⪸0=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"+⊝⨔((↣≠⋷$1435$)∀⇚≩($2616$⩨$1811$)≧⫂∧($1060$⨟⋌⩍$4051$)⪢($7408$⩨$1684$))","expression":"+⊝⨔((↣≠⋷⫖↰⪸9B7)∀⇚≩(⫖↰⪸1620⩨⫖↰⪸106B)≧⫂∧(⫖↰⪸744⨟⋌⩍⫖↰⪸2417)⪢(⫖↰⪸4354⩨⫖↰⪸B84))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":35,"operation_count":8,"complexity_ratio":4.375,"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":1435,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2616,"base":12},"right_expr":{"type":"numeric_atoms","value":1811,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":4051,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7408,"base":12},"right_expr":{"type":"numeric_atoms","value":1684,"base":12}}}}},"used_operators":["DhbWaqg5eL","Ph9nP6C5qx","LRNGc0VcxI","Asc51vEJeQ","2DlMacCsIx","dWAJyo7jo9","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","Tcnh7f0tEr"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2616","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2616, right_input=1811, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1060","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=4051, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7408","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=7408, right_input=1684, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, 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":"+⊝⨔((↣≠⋷⫖↰⪸9B7)∀⇚≩(⫖↰⪸1620⩨⫖↰⪸106B)≧⫂∧(⫖↰⪸744⨟⋌⩍⫖↰⪸2417)⪢(⫖↰⪸4354⩨⫖↰⪸B84))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔((↣≠⋷⫖↰⪸9B7)∀⇚≩(⫖↰⪸1620⩨⫖↰⪸106B)≧⫂∧(⫖↰⪸744⨟⋌⩍⫖↰⪸2417)⪢(⫖↰⪸4354⩨⫖↰⪸B84))","cot":[{"info":"↣≠⋷⫖↰⪸9B7=NaN","layer":3},{"info":"⫖↰⪸1620⩨⫖↰⪸106B=⫖↰⪸0","layer":3},{"info":"NaN∀⇚≩⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸744⨟⋌⩍⫖↰⪸2417=NaN","layer":3},{"info":"⫖↰⪸4354⩨⫖↰⪸B84=⫖↰⪸0","layer":3},{"info":"NaN⪢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":1},{"info":"+⊝⨔⫖↰⪸-335=⫖↰⪸A6A","layer":0}]}
{"id":669,"expression_no_base_symbol":"(⪝⪂⫅(($1695$↛⩡⫤)⨵⪆$1664$↺$4511$))∑⇟⊟((($1093$/$5415$)⊉≛↸$7969$⋓$1193$)⨐⩸⫘($2160$⊦⊿)⩷∴($1180$-$5958$))","expression":"(⪝⪂⫅((⫖↰⪸B93↛⩡⫤)⨵⪆⫖↰⪸B68↺⫖↰⪸273B))∑⇟⊟(((⫖↰⪸771/⫖↰⪸3173)⊉≛↸⫖↰⪸4741⋓⫖↰⪸835)⨐⩸⫘(⫖↰⪸1300⊦⊿)⩷∴(⫖↰⪸824-⫖↰⪸3546))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5403,"operation_count":12,"complexity_ratio":450.25,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1695,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1664,"base":12},"right_expr":{"type":"numeric_atoms","value":4511,"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":5415,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7969,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}},"right_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":1180,"base":12},"right_expr":{"type":"numeric_atoms","value":5958,"base":12}}}}},"used_operators":["U7g4x0WXJJ","XTarYq4gQB","2DQ55sFlQl","FU0Cs4j7VP","7j4O788W3g","fu6greOZ01","DZ8iAZOCBD","XhwjNDsVaA","T2fj7uvVaJ","9FxExcQeMw","14qkJME0vr","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-252034","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=4511, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4511","layer":3},{"info":"compute binary expreesion, left_input=-252034, right_input=4511, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-23520","layer":1},{"info":"number node, value=1093","layer":4},{"info":"number node, value=5415","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=5415, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7969","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=7969, right_input=1193, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6559","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=5958","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=5958, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4778","layer":3},{"info":"compute binary expreesion, left_input=-6559, right_input=-4778, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3594","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3594, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-23520, 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":"(⪝⪂⫅((⫖↰⪸B93↛⩡⫤)⨵⪆⫖↰⪸B68↺⫖↰⪸273B))∑⇟⊟(((⫖↰⪸771/⫖↰⪸3173)⊉≛↸⫖↰⪸4741⋓⫖↰⪸835)⨐⩸⫘(⫖↰⪸1300⊦⊿)⩷∴(⫖↰⪸824-⫖↰⪸3546))=NaN","reverse_text":"NaN=(⪝⪂⫅((⫖↰⪸B93↛⩡⫤)⨵⪆⫖↰⪸B68↺⫖↰⪸273B))∑⇟⊟(((⫖↰⪸771/⫖↰⪸3173)⊉≛↸⫖↰⪸4741⋓⫖↰⪸835)⨐⩸⫘(⫖↰⪸1300⊦⊿)⩷∴(⫖↰⪸824-⫖↰⪸3546))","cot":[{"info":"⫖↰⪸B93↛⩡⫤=⫖↰⪸-101A2A","layer":3},{"info":"⫖↰⪸B68↺⫖↰⪸273B=⫖↰⪸273B","layer":3},{"info":"⫖↰⪸-101A2A⨵⪆⫖↰⪸273B=⫖↰⪸114","layer":2},{"info":"⪝⪂⫅⫖↰⪸114=⫖↰⪸-11740","layer":1},{"info":"⫖↰⪸771/⫖↰⪸3173=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4741⋓⫖↰⪸835=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1300⊦⊿=⫖↰⪸-3967","layer":3},{"info":"⫖↰⪸824-⫖↰⪸3546=⫖↰⪸-2922","layer":3},{"info":"⫖↰⪸-3967⩷∴⫖↰⪸-2922=⫖↰⪸-20B6","layer":2},{"info":"⫖↰⪸0⨐⩸⫘⫖↰⪸-20B6=NaN","layer":1},{"info":"⫖↰⪸-11740∑⇟⊟NaN=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"((($1165$⨽$1641$)⫩⊇)↺(⋗⩬⋾(⪝⪂⫅$4231$)))⪛(((≉$1545$)⨐⩸⫘($1008$⊭↱$3838$))⇷((⨈⫕$3628$)≎⊠⪸($1314$⫸⊐$1656$)))","expression":"(((⫖↰⪸811⨽⫖↰⪸B49)⫩⊇)↺(⋗⩬⋾(⪝⪂⫅⫖↰⪸2547)))⪛(((≉⫖↰⪸A89)⨐⩸⫘(⫖↰⪸700⊭↱⫖↰⪸227A))⇷((⨈⫕⫖↰⪸2124)≎⊠⪸(⫖↰⪸916⫸⊐⫖↰⪸B60)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1964,"operation_count":13,"complexity_ratio":151.07692307692307,"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":1165,"base":12},"right_expr":{"type":"numeric_atoms","value":1641,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4231,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1545,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1008,"base":12},"right_expr":{"type":"numeric_atoms","value":3838,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3628,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1314,"base":12},"right_expr":{"type":"numeric_atoms","value":1656,"base":12}}}}},"used_operators":["uFcxV4UQCh","7j4O788W3g","BjRHVeLaeN","8HhzD0ZcuI","DpFCA1CohY","XTarYq4gQB","mp7IySMOzn","fu6greOZ01","e1ybzncUwg","COABgblf1C","bJkvcejdHO","megm06wKyl","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸3399","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=1641, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4075284","layer":3},{"info":"compute unary expreesion, input=-4075284, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4075326","layer":2},{"info":"number node, value=4231","layer":4},{"info":"compute unary expreesion, input=4231, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-621957","layer":3},{"info":"compute unary expreesion, input=-621957, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=1865871","layer":2},{"info":"compute binary expreesion, left_input=4075326, right_input=1865871, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1865871","layer":1},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2076","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=3838","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=3838, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5665","layer":3},{"info":"compute binary expreesion, left_input=2076, right_input=5665, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3628","layer":4},{"info":"compute unary expreesion, input=3628, 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=1314","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=1656, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6499","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=6499, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5439","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5439, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10878","layer":1},{"info":"compute binary expreesion, left_input=1865871, right_input=10878, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5733","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸811⨽⫖↰⪸B49)⫩⊇)↺(⋗⩬⋾(⪝⪂⫅⫖↰⪸2547)))⪛(((≉⫖↰⪸A89)⨐⩸⫘(⫖↰⪸700⊭↱⫖↰⪸227A))⇷((⨈⫕⫖↰⪸2124)≎⊠⪸(⫖↰⪸916⫸⊐⫖↰⪸B60)))=⫖↰⪸3399","reverse_text":"⫖↰⪸3399=(((⫖↰⪸811⨽⫖↰⪸B49)⫩⊇)↺(⋗⩬⋾(⪝⪂⫅⫖↰⪸2547)))⪛(((≉⫖↰⪸A89)⨐⩸⫘(⫖↰⪸700⊭↱⫖↰⪸227A))⇷((⨈⫕⫖↰⪸2124)≎⊠⪸(⫖↰⪸916⫸⊐⫖↰⪸B60)))","cot":[{"info":"⫖↰⪸811⨽⫖↰⪸B49=⫖↰⪸-1446470","layer":3},{"info":"⫖↰⪸-1446470⫩⊇=⫖↰⪸14464A6","layer":2},{"info":"⪝⪂⫅⫖↰⪸2547=⫖↰⪸-25BB19","layer":3},{"info":"⋗⩬⋾⫖↰⪸-25BB19=⫖↰⪸75B953","layer":2},{"info":"⫖↰⪸14464A6↺⫖↰⪸75B953=⫖↰⪸75B953","layer":1},{"info":"≉⫖↰⪸A89=⫖↰⪸1250","layer":3},{"info":"⫖↰⪸700⊭↱⫖↰⪸227A=⫖↰⪸3341","layer":3},{"info":"⫖↰⪸1250⨐⩸⫘⫖↰⪸3341=NaN","layer":2},{"info":"⨈⫕⫖↰⪸2124=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸916⫸⊐⫖↰⪸B60=⫖↰⪸3917","layer":3},{"info":"⫖↰⪸-19≎⊠⪸⫖↰⪸3917=⫖↰⪸3193","layer":2},{"info":"NaN⇷⫖↰⪸3193=⫖↰⪸6366","layer":1},{"info":"⫖↰⪸75B953⪛⫖↰⪸6366=⫖↰⪸3399","layer":0}]}
{"id":671,"expression_no_base_symbol":"↯⪼((⨑⩽⪐$2080$⨟⋌⩍$2355$)∑⇟⊟($1078$≎⊠⪸$2751$⨳⩥⨓($1424$⪒$1126$)))","expression":"↯⪼((⨑⩽⪐⫖↰⪸1254⨟⋌⩍⫖↰⪸1443)∑⇟⊟(⫖↰⪸75A≎⊠⪸⫖↰⪸1713⨳⩥⨓(⫖↰⪸9A8⪒⫖↰⪸79A)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":316,"operation_count":7,"complexity_ratio":45.142857142857146,"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":2080,"base":12},"right_expr":{"type":"numeric_atoms","value":2355,"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":2751,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1424,"base":12},"right_expr":{"type":"numeric_atoms","value":1126,"base":12}}}}},"used_operators":["8jW3W4yZS5","U7g4x0WXJJ","AF7qkfDlqP","rGHVDoGpnC","nCS4ZIUYfx","bJkvcejdHO","f6k1SAg4EE"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2080","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=2355, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=2751, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=278729","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1126, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2550","layer":3},{"info":"compute binary expreesion, left_input=278729, right_input=-2550, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-281279","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-281279, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼((⨑⩽⪐⫖↰⪸1254⨟⋌⩍⫖↰⪸1443)∑⇟⊟(⫖↰⪸75A≎⊠⪸⫖↰⪸1713⨳⩥⨓(⫖↰⪸9A8⪒⫖↰⪸79A)))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼((⨑⩽⪐⫖↰⪸1254⨟⋌⩍⫖↰⪸1443)∑⇟⊟(⫖↰⪸75A≎⊠⪸⫖↰⪸1713⨳⩥⨓(⫖↰⪸9A8⪒⫖↰⪸79A)))","cot":[{"info":"⫖↰⪸1254⨟⋌⩍⫖↰⪸1443=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫖↰⪸75A≎⊠⪸⫖↰⪸1713=⫖↰⪸115375","layer":3},{"info":"⫖↰⪸9A8⪒⫖↰⪸79A=⫖↰⪸-1586","layer":3},{"info":"⫖↰⪸115375⨳⩥⨓⫖↰⪸-1586=⫖↰⪸-11693B","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸-11693B=NaN","layer":1},{"info":"↯⪼NaN=⫖↰⪸-19","layer":0}]}
{"id":672,"expression_no_base_symbol":"($5132$⨵⪆$1723$⨵⪆$1388$≹⇙⪍$2236$⋷($6535$⇼⇔∾$4137$)⨽$6777$⪮%⊝$3116$)⇼⇔∾($1134$⇋≉)⨟⋌⩍(↽≂$1043$)⋓($3203$∼$2894$⩚⊴⇥(↔$2461$))","expression":"(⫖↰⪸2B78⨵⪆⫖↰⪸BB7⨵⪆⫖↰⪸978≹⇙⪍⫖↰⪸1364⋷(⫖↰⪸3947⇼⇔∾⫖↰⪸2489)⨽⫖↰⪸3B09⪮%⊝⫖↰⪸1978)⇼⇔∾(⫖↰⪸7A6⇋≉)⨟⋌⩍(↽≂⫖↰⪸72B)⋓(⫖↰⪸1A2B∼⫖↰⪸1812⩚⊴⇥(↔⫖↰⪸1511))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2519,"operation_count":15,"complexity_ratio":167.93333333333334,"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":5132,"base":12},"right_expr":{"type":"numeric_atoms","value":1723,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1388,"base":12},"right_expr":{"type":"numeric_atoms","value":2236,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6535,"base":12},"right_expr":{"type":"numeric_atoms","value":4137,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6777,"base":12},"right_expr":{"type":"numeric_atoms","value":3116,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1134,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1043,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3203,"base":12},"right_expr":{"type":"numeric_atoms","value":2894,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2461,"base":12}}}}},"used_operators":["tifHPKVTfV","23Mk6UjR3U","2DQ55sFlQl","AHs5Up7iyr","8HhzD0ZcuI","IWmyXbctLI","T2fj7uvVaJ","rGHVDoGpnC","XIabStNQrY","u6S6b8DprG","NTOWxs364D","DyGG3AbaNP","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5132","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=1723, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1388","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=2236, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6535","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=6535, right_input=4137, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2398","layer":3},{"info":"number node, value=6777","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=6777, right_input=3116, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13870","layer":3},{"info":"compute binary expreesion, left_input=-2398, right_input=13870, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17291508","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-17291508, 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=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2170","layer":3},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2086","layer":3},{"info":"compute binary expreesion, left_input=2170, right_input=-2086, 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=3203","layer":4},{"info":"number node, value=2894","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=2894, 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=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2188","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2188, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-320, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2B78⨵⪆⫖↰⪸BB7⨵⪆⫖↰⪸978≹⇙⪍⫖↰⪸1364⋷(⫖↰⪸3947⇼⇔∾⫖↰⪸2489)⨽⫖↰⪸3B09⪮%⊝⫖↰⪸1978)⇼⇔∾(⫖↰⪸7A6⇋≉)⨟⋌⩍(↽≂⫖↰⪸72B)⋓(⫖↰⪸1A2B∼⫖↰⪸1812⩚⊴⇥(↔⫖↰⪸1511))=NaN","reverse_text":"NaN=(⫖↰⪸2B78⨵⪆⫖↰⪸BB7⨵⪆⫖↰⪸978≹⇙⪍⫖↰⪸1364⋷(⫖↰⪸3947⇼⇔∾⫖↰⪸2489)⨽⫖↰⪸3B09⪮%⊝⫖↰⪸1978)⇼⇔∾(⫖↰⪸7A6⇋≉)⨟⋌⩍(↽≂⫖↰⪸72B)⋓(⫖↰⪸1A2B∼⫖↰⪸1812⩚⊴⇥(↔⫖↰⪸1511))","cot":[{"info":"⫖↰⪸2B78⨵⪆⫖↰⪸BB7=⫖↰⪸114","layer":3},{"info":"⫖↰⪸978≹⇙⪍⫖↰⪸1364=NaN","layer":3},{"info":"⫖↰⪸114⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸3947⇼⇔∾⫖↰⪸2489=⫖↰⪸-147A","layer":3},{"info":"⫖↰⪸3B09⪮%⊝⫖↰⪸1978=⫖↰⪸803A","layer":3},{"info":"⫖↰⪸-147A⨽⫖↰⪸803A=⫖↰⪸-595A7B0","layer":2},{"info":"⫖↰⪸114⋷⫖↰⪸-595A7B0=⫖↰⪸-228","layer":1},{"info":"⫖↰⪸7A6⇋≉=⫖↰⪸130A","layer":3},{"info":"↽≂⫖↰⪸72B=⫖↰⪸-125A","layer":3},{"info":"⫖↰⪸130A⨟⋌⩍⫖↰⪸-125A=NaN","layer":2},{"info":"⫖↰⪸1A2B∼⫖↰⪸1812=NaN","layer":3},{"info":"↔⫖↰⪸1511=⫖↰⪸-1324","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸-1324=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫖↰⪸-228⇼⇔∾NaN=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"(((⨵≀≌$1623$)⊭↱$7084$⫸⊐$5150$)⋥≓≎($1858$≧⫂∧$1717$↙$2156$⨎$2141$))⨓(($6549$⩤)⋝⋈⪟($1154$⨐⩸⫘$4800$)⊭∹↮)","expression":"(((⨵≀≌⫖↰⪸B33)⊭↱⫖↰⪸4124⫸⊐⫖↰⪸2B92)⋥≓≎(⫖↰⪸10AA≧⫂∧⫖↰⪸BB1↙⫖↰⪸12B8⨎⫖↰⪸12A5))⨓((⫖↰⪸3959⩤)⋝⋈⪟(⫖↰⪸802⨐⩸⫘⫖↰⪸2940)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2201,"operation_count":12,"complexity_ratio":183.41666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1623,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7084,"base":12},"right_expr":{"type":"numeric_atoms","value":5150,"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":1717,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2156,"base":12},"right_expr":{"type":"numeric_atoms","value":2141,"base":12}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6549,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1154,"base":12},"right_expr":{"type":"numeric_atoms","value":4800,"base":12}}}}},"used_operators":["3ViojmjbAp","Qy55tPpLXF","COABgblf1C","srAu1WTS94","mqXw5SEYmG","yyfyN0ffXY","Ph9nP6C5qx","rJVOvQCfKK","xNBdhnnwKq","2DDjHMKMc0","Z2TMIBDE3Q","fu6greOZ01"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":4},{"info":"compute unary expreesion, input=1623, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4869","layer":3},{"info":"number node, value=7084","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=7084, right_input=5150, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20475","layer":3},{"info":"compute binary expreesion, left_input=-4869, right_input=20475, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=50693","layer":2},{"info":"number node, value=1858","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=1717, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1244","layer":3},{"info":"number node, value=2156","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=2141, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2141","layer":3},{"info":"compute binary expreesion, left_input=1244, right_input=2141, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6423","layer":2},{"info":"compute binary expreesion, left_input=50693, right_input=-6423, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-63506","layer":1},{"info":"number node, value=6549","layer":4},{"info":"compute unary expreesion, input=6549, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6549","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=4800","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=4800, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-6549, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-63506, 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":"(((⨵≀≌⫖↰⪸B33)⊭↱⫖↰⪸4124⫸⊐⫖↰⪸2B92)⋥≓≎(⫖↰⪸10AA≧⫂∧⫖↰⪸BB1↙⫖↰⪸12B8⨎⫖↰⪸12A5))⨓((⫖↰⪸3959⩤)⋝⋈⪟(⫖↰⪸802⨐⩸⫘⫖↰⪸2940)⊭∹↮)=NaN","reverse_text":"NaN=(((⨵≀≌⫖↰⪸B33)⊭↱⫖↰⪸4124⫸⊐⫖↰⪸2B92)⋥≓≎(⫖↰⪸10AA≧⫂∧⫖↰⪸BB1↙⫖↰⪸12B8⨎⫖↰⪸12A5))⨓((⫖↰⪸3959⩤)⋝⋈⪟(⫖↰⪸802⨐⩸⫘⫖↰⪸2940)⊭∹↮)","cot":[{"info":"⨵≀≌⫖↰⪸B33=⫖↰⪸-2999","layer":3},{"info":"⫖↰⪸4124⫸⊐⫖↰⪸2B92=⫖↰⪸BA23","layer":3},{"info":"⫖↰⪸-2999⊭↱⫖↰⪸BA23=⫖↰⪸25405","layer":2},{"info":"⫖↰⪸10AA≧⫂∧⫖↰⪸BB1=⫖↰⪸878","layer":3},{"info":"⫖↰⪸12B8⨎⫖↰⪸12A5=⫖↰⪸12A5","layer":3},{"info":"⫖↰⪸878↙⫖↰⪸12A5=⫖↰⪸-3873","layer":2},{"info":"⫖↰⪸25405⋥≓≎⫖↰⪸-3873=⫖↰⪸-30902","layer":1},{"info":"⫖↰⪸3959⩤=⫖↰⪸-3959","layer":3},{"info":"⫖↰⪸802⨐⩸⫘⫖↰⪸2940=NaN","layer":3},{"info":"⫖↰⪸-3959⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⫖↰⪸-30902⨓NaN=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"(($4547$⨵⪆$2615$)⪮%⊝($2227$⋓$1300$)⊦⊿)⨓(((⩦⩻⨪$4760$)≋⫹)⪐)","expression":"((⫖↰⪸276B⨵⪆⫖↰⪸161B)⪮%⊝(⫖↰⪸1357⋓⫖↰⪸904)⊦⊿)⨓(((⩦⩻⨪⫖↰⪸2908)≋⫹)⪐)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19083,"operation_count":8,"complexity_ratio":2385.375,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4547,"base":12},"right_expr":{"type":"numeric_atoms","value":2615,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2227,"base":12},"right_expr":{"type":"numeric_atoms","value":1300,"base":12}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4760,"base":12}}}}},"used_operators":["3ViojmjbAp","14qkJME0vr","IWmyXbctLI","2DQ55sFlQl","T2fj7uvVaJ","eH2TOUuTDT","N41Kp7NANJ","2td37pGCOC"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸B025","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4547","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=4547, right_input=2615, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=1300, 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=160, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=4760","layer":4},{"info":"compute unary expreesion, input=4760, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4760","layer":3},{"info":"compute unary expreesion, input=4760, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9520","layer":2},{"info":"compute unary expreesion, input=-9520, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-19040","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19040, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=19037","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸276B⨵⪆⫖↰⪸161B)⪮%⊝(⫖↰⪸1357⋓⫖↰⪸904)⊦⊿)⨓(((⩦⩻⨪⫖↰⪸2908)≋⫹)⪐)=⫖↰⪸B025","reverse_text":"⫖↰⪸B025=((⫖↰⪸276B⨵⪆⫖↰⪸161B)⪮%⊝(⫖↰⪸1357⋓⫖↰⪸904)⊦⊿)⨓(((⩦⩻⨪⫖↰⪸2908)≋⫹)⪐)","cot":[{"info":"⫖↰⪸276B⨵⪆⫖↰⪸161B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1357⋓⫖↰⪸904=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⪮%⊝⫖↰⪸0=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⩦⩻⨪⫖↰⪸2908=⫖↰⪸2908","layer":3},{"info":"⫖↰⪸2908≋⫹=⫖↰⪸-5614","layer":2},{"info":"⫖↰⪸-5614⪐=⫖↰⪸-B028","layer":1},{"info":"NaN⨓⫖↰⪸-B028=⫖↰⪸B025","layer":0}]}
{"id":675,"expression_no_base_symbol":"($1089$⋥≓≎$5783$+$3366$≧⫂∧$1273$)∼((⊥$6313$)∑⇟⊟$2554$⊴$1013$)⪘⫢((($2856$⋥≓≎$3569$)∑⇟⊟($2843$⨳⩥⨓$1386$))∧)","expression":"(⫖↰⪸769⋥≓≎⫖↰⪸341B+⫖↰⪸1B46≧⫂∧⫖↰⪸8A1)∼((⊥⫖↰⪸37A1)∑⇟⊟⫖↰⪸158A⊴⫖↰⪸705)⪘⫢(((⫖↰⪸17A0⋥≓≎⫖↰⪸2095)∑⇟⊟(⫖↰⪸178B⨳⩥⨓⫖↰⪸976))∧)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3326,"operation_count":12,"complexity_ratio":277.1666666666667,"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":1089,"base":12},"right_expr":{"type":"numeric_atoms","value":5783,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3366,"base":12},"right_expr":{"type":"numeric_atoms","value":1273,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6313,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2554,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2856,"base":12},"right_expr":{"type":"numeric_atoms","value":3569,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2843,"base":12},"right_expr":{"type":"numeric_atoms","value":1386,"base":12}}}}},"used_operators":["oacrs7FA3X","DyGG3AbaNP","W4YGzv6Whe","Qy55tPpLXF","Ph9nP6C5qx","U7g4x0WXJJ","Q3PJZHRvZv","Nsiff2A1zJ","z63VuFQld9","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=5783","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=5783, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10510","layer":3},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1273, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=800","layer":3},{"info":"compute binary expreesion, left_input=10510, right_input=800, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11310","layer":2},{"info":"number node, value=6313","layer":4},{"info":"compute unary expreesion, input=6313, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2554","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=1013, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11310, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=2856","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=3569, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4315","layer":3},{"info":"number node, value=2843","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1386, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1457","layer":3},{"info":"compute binary expreesion, left_input=4315, right_input=-1457, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫖↰⪸769⋥≓≎⫖↰⪸341B+⫖↰⪸1B46≧⫂∧⫖↰⪸8A1)∼((⊥⫖↰⪸37A1)∑⇟⊟⫖↰⪸158A⊴⫖↰⪸705)⪘⫢(((⫖↰⪸17A0⋥≓≎⫖↰⪸2095)∑⇟⊟(⫖↰⪸178B⨳⩥⨓⫖↰⪸976))∧)=NaN","reverse_text":"NaN=(⫖↰⪸769⋥≓≎⫖↰⪸341B+⫖↰⪸1B46≧⫂∧⫖↰⪸8A1)∼((⊥⫖↰⪸37A1)∑⇟⊟⫖↰⪸158A⊴⫖↰⪸705)⪘⫢(((⫖↰⪸17A0⋥≓≎⫖↰⪸2095)∑⇟⊟(⫖↰⪸178B⨳⩥⨓⫖↰⪸976))∧)","cot":[{"info":"⫖↰⪸769⋥≓≎⫖↰⪸341B=⫖↰⪸60BA","layer":3},{"info":"⫖↰⪸1B46≧⫂∧⫖↰⪸8A1=⫖↰⪸568","layer":3},{"info":"⫖↰⪸60BA+⫖↰⪸568=⫖↰⪸6666","layer":2},{"info":"⊥⫖↰⪸37A1=NaN","layer":3},{"info":"⫖↰⪸158A⊴⫖↰⪸705=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸6666∼NaN=NaN","layer":1},{"info":"⫖↰⪸17A0⋥≓≎⫖↰⪸2095=⫖↰⪸25B7","layer":3},{"info":"⫖↰⪸178B⨳⩥⨓⫖↰⪸976=⫖↰⪸-A15","layer":3},{"info":"⫖↰⪸25B7∑⇟⊟⫖↰⪸-A15=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"((($6570$∲⫓$5120$)≋⫹)≦≮≮)⫥∨⫟((⋗⩬⋾($1336$⩨$3783$))⨁⊸⫻)","expression":"(((⫖↰⪸3976∲⫓⫖↰⪸2B68)≋⫹)≦≮≮)⫥∨⫟((⋗⩬⋾(⫖↰⪸934⩨⫖↰⪸2233))⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":173,"operation_count":7,"complexity_ratio":24.714285714285715,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6570,"base":12},"right_expr":{"type":"numeric_atoms","value":5120,"base":12}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1336,"base":12},"right_expr":{"type":"numeric_atoms","value":3783,"base":12}}}}},"used_operators":["KYD54nUTWz","D4vGDi5EA2","N41Kp7NANJ","i8ToyICDmI","glklzrTFfD","DpFCA1CohY","2DlMacCsIx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6570","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=6570, right_input=5120, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":1},{"info":"number node, value=1336","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=3783, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=18","layer":2},{"info":"compute unary expreesion, input=18, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=36","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=36, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3976∲⫓⫖↰⪸2B68)≋⫹)≦≮≮)⫥∨⫟((⋗⩬⋾(⫖↰⪸934⩨⫖↰⪸2233))⨁⊸⫻)=NaN","reverse_text":"NaN=(((⫖↰⪸3976∲⫓⫖↰⪸2B68)≋⫹)≦≮≮)⫥∨⫟((⋗⩬⋾(⫖↰⪸934⩨⫖↰⪸2233))⨁⊸⫻)","cot":[{"info":"⫖↰⪸3976∲⫓⫖↰⪸2B68=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≋⫹=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0≦≮≮=⫖↰⪸0","layer":1},{"info":"⫖↰⪸934⩨⫖↰⪸2233=⫖↰⪸-6","layer":3},{"info":"⋗⩬⋾⫖↰⪸-6=⫖↰⪸16","layer":2},{"info":"⫖↰⪸16⨁⊸⫻=⫖↰⪸30","layer":1},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸30=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"((($1576$⫌⩹⨱)⋥≓≎(∥⊫$4007$))⫩⊇)⩨((⪝⪂⫅$5843$⪘⫢$5750$)⨸⪁(⪝⪂⫅(⨞⊢$6515$)))","expression":"(((⫖↰⪸AB4⫌⩹⨱)⋥≓≎(∥⊫⫖↰⪸239B))⫩⊇)⩨((⪝⪂⫅⫖↰⪸346B⪘⫢⫖↰⪸33B2)⨸⪁(⪝⪂⫅(⨞⊢⫖↰⪸392B)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":616,"operation_count":10,"complexity_ratio":61.6,"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":1576,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4007,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5843,"base":12},"right_expr":{"type":"numeric_atoms","value":5750,"base":12}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6515,"base":12}}}}},"used_operators":["2DlMacCsIx","BjRHVeLaeN","Qy55tPpLXF","EBcxylXtPf","P8v4zCKN1o","g55IO6H4Gj","XTarYq4gQB","oacrs7FA3X","xUOZtlo3hN"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-590","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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4553","layer":3},{"info":"number node, value=4007","layer":4},{"info":"compute unary expreesion, input=4007, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4875","layer":3},{"info":"compute binary expreesion, left_input=4553, right_input=4875, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5230","layer":2},{"info":"compute unary expreesion, input=5230, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5188","layer":1},{"info":"number node, value=5843","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=5843, right_input=5750, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11562","layer":3},{"info":"compute unary expreesion, input=11562, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1699614","layer":2},{"info":"number node, value=6515","layer":4},{"info":"compute unary expreesion, input=6515, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6689","layer":3},{"info":"compute unary expreesion, input=-6689, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=983283","layer":2},{"info":"compute binary expreesion, left_input=-1699614, right_input=983283, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1432662","layer":1},{"info":"compute binary expreesion, left_input=-5188, right_input=-1432662, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-828","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸AB4⫌⩹⨱)⋥≓≎(∥⊫⫖↰⪸239B))⫩⊇)⩨((⪝⪂⫅⫖↰⪸346B⪘⫢⫖↰⪸33B2)⨸⪁(⪝⪂⫅(⨞⊢⫖↰⪸392B)))=⫖↰⪸-590","reverse_text":"⫖↰⪸-590=(((⫖↰⪸AB4⫌⩹⨱)⋥≓≎(∥⊫⫖↰⪸239B))⫩⊇)⩨((⪝⪂⫅⫖↰⪸346B⪘⫢⫖↰⪸33B2)⨸⪁(⪝⪂⫅(⨞⊢⫖↰⪸392B)))","cot":[{"info":"⫖↰⪸AB4⫌⩹⨱=⫖↰⪸2775","layer":3},{"info":"∥⊫⫖↰⪸239B=⫖↰⪸29A3","layer":3},{"info":"⫖↰⪸2775⋥≓≎⫖↰⪸29A3=⫖↰⪸303A","layer":2},{"info":"⫖↰⪸303A⫩⊇=⫖↰⪸-3004","layer":1},{"info":"⫖↰⪸346B⪘⫢⫖↰⪸33B2=⫖↰⪸6836","layer":3},{"info":"⪝⪂⫅⫖↰⪸6836=⫖↰⪸-69B6A6","layer":2},{"info":"⨞⊢⫖↰⪸392B=⫖↰⪸-3A55","layer":3},{"info":"⪝⪂⫅⫖↰⪸-3A55=⫖↰⪸3B5043","layer":2},{"info":"⫖↰⪸-69B6A6⨸⪁⫖↰⪸3B5043=⫖↰⪸-591106","layer":1},{"info":"⫖↰⪸-3004⩨⫖↰⪸-591106=⫖↰⪸-590","layer":0}]}
{"id":678,"expression_no_base_symbol":"(⫓⪴(⋗⩬⋾($5280$-$1318$)))∑⇟⊟(((+⊝⨔$3067$)⊘)≎⊠⪸($3411$⩷∴$1166$%$3502$⇷$1889$))","expression":"(⫓⪴(⋗⩬⋾(⫖↰⪸3080-⫖↰⪸91A)))∑⇟⊟(((+⊝⨔⫖↰⪸1937)⊘)≎⊠⪸(⫖↰⪸1B83⩷∴⫖↰⪸812%⫖↰⪸203A⇷⫖↰⪸1115))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2825903,"operation_count":10,"complexity_ratio":282590.3,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5280,"base":12},"right_expr":{"type":"numeric_atoms","value":1318,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3067,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3411,"base":12},"right_expr":{"type":"numeric_atoms","value":1166,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3502,"base":12},"right_expr":{"type":"numeric_atoms","value":1889,"base":12}}}}},"used_operators":["U7g4x0WXJJ","eLxqMNBOBk","DpFCA1CohY","rysDP5nf3Z","bJkvcejdHO","gu96TGCTMs","DhbWaqg5eL","k8jYdgA6NY","9FxExcQeMw","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5280","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=5280, right_input=1318, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3962","layer":3},{"info":"compute unary expreesion, input=3962, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11886","layer":2},{"info":"compute unary expreesion, input=-11886, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=141276996","layer":1},{"info":"number node, value=3067","layer":4},{"info":"compute unary expreesion, input=3067, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=3411","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=3411, right_input=1166, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4458","layer":3},{"info":"number node, value=3502","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=1889, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3778","layer":3},{"info":"compute binary expreesion, left_input=4458, right_input=3778, op_id = k8jYdgA6NY binary_op_definition= 'None', output=680","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=680, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=141276996, right_input=-473, 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":"(⫓⪴(⋗⩬⋾(⫖↰⪸3080-⫖↰⪸91A)))∑⇟⊟(((+⊝⨔⫖↰⪸1937)⊘)≎⊠⪸(⫖↰⪸1B83⩷∴⫖↰⪸812%⫖↰⪸203A⇷⫖↰⪸1115))=NaN","reverse_text":"NaN=(⫓⪴(⋗⩬⋾(⫖↰⪸3080-⫖↰⪸91A)))∑⇟⊟(((+⊝⨔⫖↰⪸1937)⊘)≎⊠⪸(⫖↰⪸1B83⩷∴⫖↰⪸812%⫖↰⪸203A⇷⫖↰⪸1115))","cot":[{"info":"⫖↰⪸3080-⫖↰⪸91A=⫖↰⪸2362","layer":3},{"info":"⋗⩬⋾⫖↰⪸2362=⫖↰⪸-6A66","layer":2},{"info":"⫓⪴⫖↰⪸-6A66=⫖↰⪸3B391630","layer":1},{"info":"+⊝⨔⫖↰⪸1937=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸A6A⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B83⩷∴⫖↰⪸812=⫖↰⪸26B6","layer":3},{"info":"⫖↰⪸203A⇷⫖↰⪸1115=⫖↰⪸222A","layer":3},{"info":"⫖↰⪸26B6%⫖↰⪸222A=⫖↰⪸488","layer":2},{"info":"⫖↰⪸0≎⊠⪸⫖↰⪸488=⫖↰⪸-335","layer":1},{"info":"⫖↰⪸3B391630∑⇟⊟⫖↰⪸-335=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"(($3534$⨳⩥⨓$2277$⨵⪆$2696$⪒$7641$)⊠≄⫣)∸","expression":"((⫖↰⪸2066⨳⩥⨓⫖↰⪸1399⨵⪆⫖↰⪸1688⪒⫖↰⪸4509)⊠≄⫣)∸","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":187,"operation_count":5,"complexity_ratio":37.4,"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":3534,"base":12},"right_expr":{"type":"numeric_atoms","value":2277,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2696,"base":12},"right_expr":{"type":"numeric_atoms","value":7641,"base":12}}}}},"used_operators":["o20kRiQErp","DIvbN7qnHd","2DQ55sFlQl","nCS4ZIUYfx","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3534","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=2277, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1257","layer":3},{"info":"number node, value=2696","layer":4},{"info":"number node, value=7641","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=7641, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10337","layer":3},{"info":"compute binary expreesion, left_input=-1257, right_input=-10337, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2066⨳⩥⨓⫖↰⪸1399⨵⪆⫖↰⪸1688⪒⫖↰⪸4509)⊠≄⫣)∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=((⫖↰⪸2066⨳⩥⨓⫖↰⪸1399⨵⪆⫖↰⪸1688⪒⫖↰⪸4509)⊠≄⫣)∸","cot":[{"info":"⫖↰⪸2066⨳⩥⨓⫖↰⪸1399=⫖↰⪸-889","layer":3},{"info":"⫖↰⪸1688⪒⫖↰⪸4509=⫖↰⪸-5B95","layer":3},{"info":"⫖↰⪸-889⨵⪆⫖↰⪸-5B95=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0∸=⫖↰⪸129","layer":0}]}
{"id":680,"expression_no_base_symbol":"(($1663$≹⇙⪍$4906$⋷(⨈⫕$6404$))⊘)⨐⩸⫘((⊙↵-($4911$*$2812$))⩤)","expression":"((⫖↰⪸B67≹⇙⪍⫖↰⪸2A0A⋷(⨈⫕⫖↰⪸3858))⊘)⨐⩸⫘((⊙↵-(⫖↰⪸2A13*⫖↰⪸1764))⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3277,"operation_count":8,"complexity_ratio":409.625,"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":1663,"base":12},"right_expr":{"type":"numeric_atoms","value":4906,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6404,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4911,"base":12},"right_expr":{"type":"numeric_atoms","value":2812,"base":12}}}}},"used_operators":["fu6greOZ01","gu96TGCTMs","23Mk6UjR3U","AHs5Up7iyr","megm06wKyl","Z2TMIBDE3Q","oWn0xqSxBt","9HNa5Wba9A"],"dependent_operators":["3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe"],"result":"⫖↰⪸-4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":4},{"info":"number node, value=4906","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=4906, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6404","layer":4},{"info":"compute unary expreesion, input=6404, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"number node, value=4911","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=4911, right_input=2812, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13809732","layer":3},{"info":"compute unary expreesion, input=13809732, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-4","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B67≹⇙⪍⫖↰⪸2A0A⋷(⨈⫕⫖↰⪸3858))⊘)⨐⩸⫘((⊙↵-(⫖↰⪸2A13*⫖↰⪸1764))⩤)=⫖↰⪸-4","reverse_text":"⫖↰⪸-4=((⫖↰⪸B67≹⇙⪍⫖↰⪸2A0A⋷(⨈⫕⫖↰⪸3858))⊘)⨐⩸⫘((⊙↵-(⫖↰⪸2A13*⫖↰⪸1764))⩤)","cot":[{"info":"⫖↰⪸B67≹⇙⪍⫖↰⪸2A0A=NaN","layer":3},{"info":"⨈⫕⫖↰⪸3858=⫖↰⪸-19","layer":3},{"info":"NaN⋷⫖↰⪸-19=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫖↰⪸2A13*⫖↰⪸1764=⫖↰⪸475B8B0","layer":3},{"info":"⊙↵-⫖↰⪸475B8B0=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-1⩤=⫖↰⪸1","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸1=⫖↰⪸-4","layer":0}]}
{"id":681,"expression_no_base_symbol":"((⫓⪴$4479$∼$1204$)⪨≂(∥⊫(+⊝⨔$3268$)))*($1513$⨎$2625$⊭↱($1164$%$1056$))⨰((⩦⩻⨪$7254$)⊭↱$1045$⩚⊴⇥$2308$)","expression":"((⫓⪴⫖↰⪸2713∼⫖↰⪸844)⪨≂(∥⊫(+⊝⨔⫖↰⪸1A84)))*(⫖↰⪸A61⨎⫖↰⪸1629⊭↱(⫖↰⪸810%⫖↰⪸740))⨰((⩦⩻⨪⫖↰⪸4246)⊭↱⫖↰⪸731⩚⊴⇥⫖↰⪸1404)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":166,"operation_count":13,"complexity_ratio":12.76923076923077,"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":4479,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3268,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1513,"base":12},"right_expr":{"type":"numeric_atoms","value":2625,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1164,"base":12},"right_expr":{"type":"numeric_atoms","value":1056,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7254,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1045,"base":12},"right_expr":{"type":"numeric_atoms","value":2308,"base":12}}}}},"used_operators":["9HNa5Wba9A","sdazOOVcIp","eLxqMNBOBk","DyGG3AbaNP","P8v4zCKN1o","DhbWaqg5eL","eewbuw0ToL","COABgblf1C","rJVOvQCfKK","k8jYdgA6NY","2td37pGCOC","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4479","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=4479, right_input=1204, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=3268","layer":4},{"info":"compute unary expreesion, input=3268, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2390","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2390, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1513","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2625, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2625","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1056, op_id = k8jYdgA6NY binary_op_definition= 'None', output=108","layer":3},{"info":"compute binary expreesion, left_input=2625, right_input=108, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5029","layer":2},{"info":"number node, value=7254","layer":4},{"info":"compute unary expreesion, input=7254, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7254","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2308, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3474","layer":3},{"info":"compute binary expreesion, left_input=7254, right_input=-3474, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-21451","layer":2},{"info":"compute binary expreesion, left_input=-5029, right_input=-21451, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=16432","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16432, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴⫖↰⪸2713∼⫖↰⪸844)⪨≂(∥⊫(+⊝⨔⫖↰⪸1A84)))*(⫖↰⪸A61⨎⫖↰⪸1629⊭↱(⫖↰⪸810%⫖↰⪸740))⨰((⩦⩻⨪⫖↰⪸4246)⊭↱⫖↰⪸731⩚⊴⇥⫖↰⪸1404)=NaN","reverse_text":"NaN=((⫓⪴⫖↰⪸2713∼⫖↰⪸844)⪨≂(∥⊫(+⊝⨔⫖↰⪸1A84)))*(⫖↰⪸A61⨎⫖↰⪸1629⊭↱(⫖↰⪸810%⫖↰⪸740))⨰((⩦⩻⨪⫖↰⪸4246)⊭↱⫖↰⪸731⩚⊴⇥⫖↰⪸1404)","cot":[{"info":"⫖↰⪸2713∼⫖↰⪸844=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"+⊝⨔⫖↰⪸1A84=⫖↰⪸A6A","layer":3},{"info":"∥⊫⫖↰⪸A6A=⫖↰⪸1472","layer":2},{"info":"NaN⪨≂⫖↰⪸1472=NaN","layer":1},{"info":"⫖↰⪸A61⨎⫖↰⪸1629=⫖↰⪸1629","layer":3},{"info":"⫖↰⪸810%⫖↰⪸740=⫖↰⪸90","layer":3},{"info":"⫖↰⪸1629⊭↱⫖↰⪸90=⫖↰⪸-2AB1","layer":2},{"info":"⩦⩻⨪⫖↰⪸4246=⫖↰⪸4246","layer":3},{"info":"⫖↰⪸731⩚⊴⇥⫖↰⪸1404=⫖↰⪸-2016","layer":3},{"info":"⫖↰⪸4246⊭↱⫖↰⪸-2016=⫖↰⪸-104B7","layer":2},{"info":"⫖↰⪸-2AB1⨰⫖↰⪸-104B7=⫖↰⪸9614","layer":1},{"info":"NaN*⫖↰⪸9614=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"($2663$⋳⪒$4655$)≭(⫓⪴$1072$)⩚⊴⇥(⩦⩻⨪$1138$)⊴$1048$⊴$1435$⊭∹↮","expression":"(⫖↰⪸165B⋳⪒⫖↰⪸283B)≭(⫓⪴⫖↰⪸754)⩚⊴⇥(⩦⩻⨪⫖↰⪸7AA)⊴⫖↰⪸734⊴⫖↰⪸9B7⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2540,"operation_count":8,"complexity_ratio":317.5,"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":2663,"base":12},"right_expr":{"type":"numeric_atoms","value":4655,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1072,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1138,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":1435,"base":12}}}}},"used_operators":["xNBdhnnwKq","NTOWxs364D","rxpJgHHUmx","12rbrZMWeM","eLxqMNBOBk","Nsiff2A1zJ","2td37pGCOC"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=4655, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=384","layer":3},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1149184","layer":3},{"info":"compute binary expreesion, left_input=384, right_input=1149184, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1138","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1435, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1138, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸165B⋳⪒⫖↰⪸283B)≭(⫓⪴⫖↰⪸754)⩚⊴⇥(⩦⩻⨪⫖↰⪸7AA)⊴⫖↰⪸734⊴⫖↰⪸9B7⊭∹↮=NaN","reverse_text":"NaN=(⫖↰⪸165B⋳⪒⫖↰⪸283B)≭(⫓⪴⫖↰⪸754)⩚⊴⇥(⩦⩻⨪⫖↰⪸7AA)⊴⫖↰⪸734⊴⫖↰⪸9B7⊭∹↮","cot":[{"info":"⫖↰⪸165B⋳⪒⫖↰⪸283B=⫖↰⪸280","layer":3},{"info":"⫓⪴⫖↰⪸754=⫖↰⪸475054","layer":3},{"info":"⫖↰⪸280≭⫖↰⪸475054=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸7AA=⫖↰⪸7AA","layer":3},{"info":"⫖↰⪸734⊴⫖↰⪸9B7=NaN","layer":3},{"info":"⫖↰⪸7AA⊴NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"(($1757$⫸⊐$1081$)⪢$1969$⪮%⊝$3117$⪄(($1671$+$1101$)⩤))⪢((∥⊫$3934$)⫥∨⫟($3621$+$1141$)⋳⪒(⨑⩽⪐$1125$)⨓($1193$⩠))","expression":"((⫖↰⪸1025⫸⊐⫖↰⪸761)⪢⫖↰⪸1181⪮%⊝⫖↰⪸1979⪄((⫖↰⪸B73+⫖↰⪸779)⩤))⪢((∥⊫⫖↰⪸233A)⫥∨⫟(⫖↰⪸2119+⫖↰⪸7B1)⋳⪒(⨑⩽⪐⫖↰⪸799)⨓(⫖↰⪸835⩠))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4506,"operation_count":14,"complexity_ratio":321.85714285714283,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1757,"base":12},"right_expr":{"type":"numeric_atoms","value":1081,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1969,"base":12},"right_expr":{"type":"numeric_atoms","value":3117,"base":12}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1671,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3934,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3621,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1125,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1193,"base":12}}}}},"used_operators":["dWAJyo7jo9","SUmda5xLS4","mqXw5SEYmG","IWmyXbctLI","Z2TMIBDE3Q","W4YGzv6Whe","12rbrZMWeM","KYD54nUTWz","P8v4zCKN1o","3ViojmjbAp","AF7qkfDlqP","sJAwomhLZr"],"dependent_operators":["k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1081, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4199","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=3117, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4254","layer":3},{"info":"compute binary expreesion, left_input=4199, right_input=4254, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1671","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=1101, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2772","layer":3},{"info":"compute unary expreesion, input=2772, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2772","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2772, 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=3934","layer":4},{"info":"compute unary expreesion, input=3934, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4802","layer":3},{"info":"number node, value=3621","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=1141, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4762","layer":3},{"info":"compute binary expreesion, left_input=4802, right_input=4762, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-852","layer":3},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1025⫸⊐⫖↰⪸761)⪢⫖↰⪸1181⪮%⊝⫖↰⪸1979⪄((⫖↰⪸B73+⫖↰⪸779)⩤))⪢((∥⊫⫖↰⪸233A)⫥∨⫟(⫖↰⪸2119+⫖↰⪸7B1)⋳⪒(⨑⩽⪐⫖↰⪸799)⨓(⫖↰⪸835⩠))=NaN","reverse_text":"NaN=((⫖↰⪸1025⫸⊐⫖↰⪸761)⪢⫖↰⪸1181⪮%⊝⫖↰⪸1979⪄((⫖↰⪸B73+⫖↰⪸779)⩤))⪢((∥⊫⫖↰⪸233A)⫥∨⫟(⫖↰⪸2119+⫖↰⪸7B1)⋳⪒(⨑⩽⪐⫖↰⪸799)⨓(⫖↰⪸835⩠))","cot":[{"info":"⫖↰⪸1025⫸⊐⫖↰⪸761=⫖↰⪸251B","layer":3},{"info":"⫖↰⪸1181⪮%⊝⫖↰⪸1979=⫖↰⪸2566","layer":3},{"info":"⫖↰⪸251B⪢⫖↰⪸2566=NaN","layer":2},{"info":"⫖↰⪸B73+⫖↰⪸779=⫖↰⪸1730","layer":3},{"info":"⫖↰⪸1730⩤=⫖↰⪸-1730","layer":2},{"info":"NaN⪄⫖↰⪸-1730=⫖↰⪸2377","layer":1},{"info":"∥⊫⫖↰⪸233A=⫖↰⪸2942","layer":3},{"info":"⫖↰⪸2119+⫖↰⪸7B1=⫖↰⪸290A","layer":3},{"info":"⫖↰⪸2942⫥∨⫟⫖↰⪸290A=NaN","layer":2},{"info":"⨑⩽⪐⫖↰⪸799=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸835⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-5B0⨓⫖↰⪸0=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸2377⪢NaN=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"(($5358$⪒$2254$)∲⫓$4952$*$2864$)↺(($6032$⫥∨⫟$1194$)⫩⊇)%(⊥($4005$+⇶⊼$4390$)⪮%⊝($1462$⨎$4361$))","expression":"((⫖↰⪸3126⪒⫖↰⪸137A)∲⫓⫖↰⪸2A48*⫖↰⪸17A8)↺((⫖↰⪸35A8⫥∨⫟⫖↰⪸836)⫩⊇)%(⊥(⫖↰⪸2399+⇶⊼⫖↰⪸265A)⪮%⊝(⫖↰⪸A1A⨎⫖↰⪸2635))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3040,"operation_count":11,"complexity_ratio":276.3636363636364,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5358,"base":12},"right_expr":{"type":"numeric_atoms","value":2254,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4952,"base":12},"right_expr":{"type":"numeric_atoms","value":2864,"base":12}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6032,"base":12},"right_expr":{"type":"numeric_atoms","value":1194,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4005,"base":12},"right_expr":{"type":"numeric_atoms","value":4390,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1462,"base":12},"right_expr":{"type":"numeric_atoms","value":4361,"base":12}}}}},"used_operators":["k8jYdgA6NY","7j4O788W3g","i8ToyICDmI","f6k1SAg4EE","9HNa5Wba9A","BjRHVeLaeN","KYD54nUTWz","Q3PJZHRvZv","IWmyXbctLI","TpPTUOHfaN","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5358","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=5358, right_input=2254, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7612","layer":3},{"info":"number node, value=4952","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=4952, right_input=2864, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14182528","layer":3},{"info":"compute binary expreesion, left_input=-7612, right_input=14182528, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=6032","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=6032, right_input=1194, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=4005","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=4005, right_input=4390, 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=1462","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=4361, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4361","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4361, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3126⪒⫖↰⪸137A)∲⫓⫖↰⪸2A48*⫖↰⪸17A8)↺((⫖↰⪸35A8⫥∨⫟⫖↰⪸836)⫩⊇)%(⊥(⫖↰⪸2399+⇶⊼⫖↰⪸265A)⪮%⊝(⫖↰⪸A1A⨎⫖↰⪸2635))=NaN","reverse_text":"NaN=((⫖↰⪸3126⪒⫖↰⪸137A)∲⫓⫖↰⪸2A48*⫖↰⪸17A8)↺((⫖↰⪸35A8⫥∨⫟⫖↰⪸836)⫩⊇)%(⊥(⫖↰⪸2399+⇶⊼⫖↰⪸265A)⪮%⊝(⫖↰⪸A1A⨎⫖↰⪸2635))","cot":[{"info":"⫖↰⪸3126⪒⫖↰⪸137A=⫖↰⪸-44A4","layer":3},{"info":"⫖↰⪸2A48*⫖↰⪸17A8=⫖↰⪸48BB594","layer":3},{"info":"⫖↰⪸-44A4∲⫓⫖↰⪸48BB594=⫖↰⪸0","layer":2},{"info":"⫖↰⪸35A8⫥∨⫟⫖↰⪸836=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⫖↰⪸0↺NaN=NaN","layer":1},{"info":"⫖↰⪸2399+⇶⊼⫖↰⪸265A=NaN","layer":3},{"info":"⫖↰⪸A1A⨎⫖↰⪸2635=⫖↰⪸2635","layer":3},{"info":"NaN⪮%⊝⫖↰⪸2635=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":685,"expression_no_base_symbol":"(↔(($5854$⪒$1182$)∑⇟⊟(-$5738$)))/(($1646$+⇶⊼$5538$)∧)⊭↱(∂(⫓⪴$4649$))","expression":"(↔((⫖↰⪸347A⪒⫖↰⪸826)∑⇟⊟(-⫖↰⪸33A2)))/((⫖↰⪸B52+⇶⊼⫖↰⪸3256)∧)⊭↱(∂(⫓⪴⫖↰⪸2835))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4693,"operation_count":10,"complexity_ratio":469.3,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5854,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5738,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1646,"base":12},"right_expr":{"type":"numeric_atoms","value":5538,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4649,"base":12}}}}},"used_operators":["XhwjNDsVaA","ruOEQAzv1W","U7g4x0WXJJ","f6k1SAg4EE","t8gj7n24qd","COABgblf1C","z63VuFQld9","TpPTUOHfaN","Uaa54Peajs","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5854","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=5854, right_input=1182, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7036","layer":3},{"info":"number node, value=5738","layer":4},{"info":"compute unary expreesion, input=5738, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5738","layer":3},{"info":"compute binary expreesion, left_input=-7036, right_input=-5738, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=1646","layer":4},{"info":"number node, value=5538","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=5538, 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 = 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=4649","layer":4},{"info":"compute unary expreesion, input=4649, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21613201","layer":3},{"info":"compute unary expreesion, input=21613201, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↔((⫖↰⪸347A⪒⫖↰⪸826)∑⇟⊟(-⫖↰⪸33A2)))/((⫖↰⪸B52+⇶⊼⫖↰⪸3256)∧)⊭↱(∂(⫓⪴⫖↰⪸2835))=NaN","reverse_text":"NaN=(↔((⫖↰⪸347A⪒⫖↰⪸826)∑⇟⊟(-⫖↰⪸33A2)))/((⫖↰⪸B52+⇶⊼⫖↰⪸3256)∧)⊭↱(∂(⫓⪴⫖↰⪸2835))","cot":[{"info":"⫖↰⪸347A⪒⫖↰⪸826=⫖↰⪸-40A4","layer":3},{"info":"-⫖↰⪸33A2=⫖↰⪸-33A2","layer":3},{"info":"⫖↰⪸-40A4∑⇟⊟⫖↰⪸-33A2=NaN","layer":2},{"info":"↔NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸B52+⇶⊼⫖↰⪸3256=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫓⪴⫖↰⪸2835=⫖↰⪸72A3781","layer":3},{"info":"∂⫖↰⪸72A3781=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸-B2/NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"↽≂(⨈⫕($2145$⨐⩸⫘$5471$)≧⫂∧($5578$⪐))","expression":"↽≂(⨈⫕(⫖↰⪸12A9⨐⩸⫘⫖↰⪸31BB)≧⫂∧(⫖↰⪸328A⪐))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":393,"operation_count":5,"complexity_ratio":78.6,"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":2145,"base":12},"right_expr":{"type":"numeric_atoms","value":5471,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5578,"base":12}}}}},"used_operators":["u6S6b8DprG","megm06wKyl","Ph9nP6C5qx","fu6greOZ01","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸36","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2145","layer":4},{"info":"number node, value=5471","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=5471, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5578","layer":4},{"info":"compute unary expreesion, input=5578, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11156","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11156, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10683","layer":2},{"info":"compute unary expreesion, input=10683, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=42","layer":0}],"base":12,"result_base":12,"text":"↽≂(⨈⫕(⫖↰⪸12A9⨐⩸⫘⫖↰⪸31BB)≧⫂∧(⫖↰⪸328A⪐))=⫖↰⪸36","reverse_text":"⫖↰⪸36=↽≂(⨈⫕(⫖↰⪸12A9⨐⩸⫘⫖↰⪸31BB)≧⫂∧(⫖↰⪸328A⪐))","cot":[{"info":"⫖↰⪸12A9⨐⩸⫘⫖↰⪸31BB=NaN","layer":3},{"info":"⫖↰⪸328A⪐=⫖↰⪸6558","layer":3},{"info":"NaN≧⫂∧⫖↰⪸6558=⫖↰⪸6223","layer":2},{"info":"⨈⫕⫖↰⪸6223=⫖↰⪸-19","layer":1},{"info":"↽≂⫖↰⪸-19=⫖↰⪸36","layer":0}]}
{"id":687,"expression_no_base_symbol":"((($1275$∧)⊭∹↮)⪨≂$3783$⪛$1753$⋓(⊙↵-$2657$))⫩⊇","expression":"(((⫖↰⪸8A3∧)⊭∹↮)⪨≂⫖↰⪸2233⪛⫖↰⪸1021⋓(⊙↵-⫖↰⪸1655))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2740,"operation_count":7,"complexity_ratio":391.42857142857144,"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":1275,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3783,"base":12},"right_expr":{"type":"numeric_atoms","value":1753,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2657,"base":12}}}}},"used_operators":["BjRHVeLaeN","sdazOOVcIp","xNBdhnnwKq","z63VuFQld9","T2fj7uvVaJ","uFcxV4UQCh","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1275","layer":4},{"info":"compute unary expreesion, input=1275, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"number node, value=3783","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=1753, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=277","layer":3},{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=277, right_input=-1, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸8A3∧)⊭∹↮)⪨≂⫖↰⪸2233⪛⫖↰⪸1021⋓(⊙↵-⫖↰⪸1655))⫩⊇=NaN","reverse_text":"NaN=(((⫖↰⪸8A3∧)⊭∹↮)⪨≂⫖↰⪸2233⪛⫖↰⪸1021⋓(⊙↵-⫖↰⪸1655))⫩⊇","cot":[{"info":"⫖↰⪸8A3∧=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⫖↰⪸2233⪛⫖↰⪸1021=⫖↰⪸1B1","layer":3},{"info":"⊙↵-⫖↰⪸1655=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1B1⋓⫖↰⪸-1=⫖↰⪸0","layer":2},{"info":"NaN⪨≂⫖↰⪸0=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"$1131$∑⇟⊟$6621$+⇶⊼(⫛⫱⨽$1107$)↙((⫓⪴$1502$)↪⪝)/($2380$⋓$1965$⩷∴(↥$1586$))⊴($5559$⋓$3052$⩷∴($4272$⊭∹↮))","expression":"⫖↰⪸7A3∑⇟⊟⫖↰⪸39B9+⇶⊼(⫛⫱⨽⫖↰⪸783)↙((⫓⪴⫖↰⪸A52)↪⪝)/(⫖↰⪸1464⋓⫖↰⪸1179⩷∴(↥⫖↰⪸B02))⊴(⫖↰⪸3273⋓⫖↰⪸1924⩷∴(⫖↰⪸2580⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20829,"operation_count":14,"complexity_ratio":1487.7857142857142,"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":1131,"base":12},"right_expr":{"type":"numeric_atoms","value":6621,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1107,"base":12}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1502,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2380,"base":12},"right_expr":{"type":"numeric_atoms","value":1965,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1586,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5559,"base":12},"right_expr":{"type":"numeric_atoms","value":3052,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4272,"base":12}}}}},"used_operators":["XhwjNDsVaA","yyfyN0ffXY","TpPTUOHfaN","U7g4x0WXJJ","DlLNRPXxWL","l07mrZUIn9","eLxqMNBOBk","Nsiff2A1zJ","9FxExcQeMw","T2fj7uvVaJ","A8NUZmVepG","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=6621","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=6621, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2256004","layer":3},{"info":"compute unary expreesion, input=2256004, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=inf, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1965","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1965, 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=1586","layer":4},{"info":"compute unary expreesion, input=1586, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-42","layer":2},{"info":"number node, value=5559","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=5559, right_input=3052, 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=4272","layer":4},{"info":"compute unary expreesion, input=4272, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8544","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8544, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-17120","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=-17120, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7A3∑⇟⊟⫖↰⪸39B9+⇶⊼(⫛⫱⨽⫖↰⪸783)↙((⫓⪴⫖↰⪸A52)↪⪝)/(⫖↰⪸1464⋓⫖↰⪸1179⩷∴(↥⫖↰⪸B02))⊴(⫖↰⪸3273⋓⫖↰⪸1924⩷∴(⫖↰⪸2580⊭∹↮))=NaN","reverse_text":"NaN=⫖↰⪸7A3∑⇟⊟⫖↰⪸39B9+⇶⊼(⫛⫱⨽⫖↰⪸783)↙((⫓⪴⫖↰⪸A52)↪⪝)/(⫖↰⪸1464⋓⫖↰⪸1179⩷∴(↥⫖↰⪸B02))⊴(⫖↰⪸3273⋓⫖↰⪸1924⩷∴(⫖↰⪸2580⊭∹↮))","cot":[{"info":"⫖↰⪸7A3∑⇟⊟⫖↰⪸39B9=NaN","layer":3},{"info":"⫛⫱⨽⫖↰⪸783=⫖↰⪸0","layer":3},{"info":"NaN+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫓⪴⫖↰⪸A52=⫖↰⪸909684","layer":3},{"info":"⫖↰⪸909684↪⪝=Inf","layer":2},{"info":"⫖↰⪸0↙Inf=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1464⋓⫖↰⪸1179=⫖↰⪸0","layer":3},{"info":"↥⫖↰⪸B02=⫖↰⪸5","layer":3},{"info":"⫖↰⪸0⩷∴⫖↰⪸5=⫖↰⪸-36","layer":2},{"info":"⫖↰⪸3273⋓⫖↰⪸1924=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2580⊭∹↮=⫖↰⪸4B40","layer":3},{"info":"⫖↰⪸0⩷∴⫖↰⪸4B40=⫖↰⪸-9AA8","layer":2},{"info":"⫖↰⪸-36⊴⫖↰⪸-9AA8=NaN","layer":1},{"info":"⫖↰⪸0/NaN=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($6192$⨽$1136$%(≦∁$1277$))↬(($1060$∲⫓$6350$)*$1968$≧⫂∧$2722$))⪘⫢($6303$⪮%⊝$2183$⩚⊴⇥$1075$≹⇙⪍$1797$⫌⩹⨱)","expression":"((⫖↰⪸3700⨽⫖↰⪸7A8%(≦∁⫖↰⪸8A5))↬((⫖↰⪸744∲⫓⫖↰⪸3812)*⫖↰⪸1180≧⫂∧⫖↰⪸16AA))⪘⫢(⫖↰⪸3793⪮%⊝⫖↰⪸131B⩚⊴⇥⫖↰⪸757≹⇙⪍⫖↰⪸1059⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":96310,"operation_count":12,"complexity_ratio":8025.833333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6192,"base":12},"right_expr":{"type":"numeric_atoms","value":1136,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1277,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":6350,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1968,"base":12},"right_expr":{"type":"numeric_atoms","value":2722,"base":12}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6303,"base":12},"right_expr":{"type":"numeric_atoms","value":2183,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1075,"base":12},"right_expr":{"type":"numeric_atoms","value":1797,"base":12}}}}},"used_operators":["oacrs7FA3X","B5M0gjZbta","k8jYdgA6NY","8HhzD0ZcuI","9ICcGScMcE","9HNa5Wba9A","i8ToyICDmI","Ph9nP6C5qx","EBcxylXtPf","NTOWxs364D","IWmyXbctLI","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6192","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=6192, right_input=1136, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-115024686","layer":3},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1277","layer":3},{"info":"compute binary expreesion, left_input=-115024686, right_input=1277, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1089","layer":2},{"info":"number node, value=1060","layer":4},{"info":"number node, value=6350","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=6350, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=2722, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2249","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2249, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=1089, 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":1},{"info":"number node, value=6303","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=6303, right_input=2183, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12922","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1797, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=12922, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⫖↰⪸3700⨽⫖↰⪸7A8%(≦∁⫖↰⪸8A5))↬((⫖↰⪸744∲⫓⫖↰⪸3812)*⫖↰⪸1180≧⫂∧⫖↰⪸16AA))⪘⫢(⫖↰⪸3793⪮%⊝⫖↰⪸131B⩚⊴⇥⫖↰⪸757≹⇙⪍⫖↰⪸1059⫌⩹⨱)=NaN","reverse_text":"NaN=((⫖↰⪸3700⨽⫖↰⪸7A8%(≦∁⫖↰⪸8A5))↬((⫖↰⪸744∲⫓⫖↰⪸3812)*⫖↰⪸1180≧⫂∧⫖↰⪸16AA))⪘⫢(⫖↰⪸3793⪮%⊝⫖↰⪸131B⩚⊴⇥⫖↰⪸757≹⇙⪍⫖↰⪸1059⫌⩹⨱)","cot":[{"info":"⫖↰⪸3700⨽⫖↰⪸7A8=⫖↰⪸-32631266","layer":3},{"info":"≦∁⫖↰⪸8A5=⫖↰⪸8A5","layer":3},{"info":"⫖↰⪸-32631266%⫖↰⪸8A5=⫖↰⪸769","layer":2},{"info":"⫖↰⪸744∲⫓⫖↰⪸3812=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1180≧⫂∧⫖↰⪸16AA=⫖↰⪸1375","layer":3},{"info":"⫖↰⪸0*⫖↰⪸1375=⫖↰⪸0","layer":2},{"info":"⫖↰⪸769↬⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸3793⪮%⊝⫖↰⪸131B=⫖↰⪸758A","layer":3},{"info":"⫖↰⪸757≹⇙⪍⫖↰⪸1059=NaN","layer":3},{"info":"⫖↰⪸758A⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"(⇁⨣⪵($5853$↺$1213$⇼⇔∾$2946$⋥≓≎$5477$))⨽((⊙↵-($3154$↛⩡⫤))⋷($3200$+$4524$)*($6336$⇋≉))","expression":"(⇁⨣⪵(⫖↰⪸3479↺⫖↰⪸851⇼⇔∾⫖↰⪸1856⋥≓≎⫖↰⪸3205))⨽((⊙↵-(⫖↰⪸19AA↛⩡⫤))⋷(⫖↰⪸1A28+⫖↰⪸2750)*(⫖↰⪸3800⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":489720,"operation_count":11,"complexity_ratio":44520.0,"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":5853,"base":12},"right_expr":{"type":"numeric_atoms","value":1213,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2946,"base":12},"right_expr":{"type":"numeric_atoms","value":5477,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊙↵-","unary_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":"numeric_atoms","value":3200,"base":12},"right_expr":{"type":"numeric_atoms","value":4524,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6336,"base":12}}}}},"used_operators":["8HhzD0ZcuI","inkyxCbjAn","tifHPKVTfV","7j4O788W3g","Qy55tPpLXF","23Mk6UjR3U","oWn0xqSxBt","FU0Cs4j7VP","9HNa5Wba9A","W4YGzv6Whe","XIabStNQrY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5853","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=5853, right_input=1213, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1213","layer":3},{"info":"number node, value=2946","layer":4},{"info":"number node, value=5477","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=5477, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8041","layer":3},{"info":"compute binary expreesion, left_input=1213, right_input=8041, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6828","layer":2},{"info":"compute unary expreesion, input=6828, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3154","layer":4},{"info":"compute unary expreesion, input=3154, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-472343","layer":3},{"info":"compute unary expreesion, input=-472343, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=3200","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=4524, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7724","layer":3},{"info":"number node, value=6336","layer":4},{"info":"compute unary expreesion, input=6336, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=12574","layer":3},{"info":"compute binary expreesion, left_input=7724, right_input=12574, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=97121576","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=97121576, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-392","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-392, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(⫖↰⪸3479↺⫖↰⪸851⇼⇔∾⫖↰⪸1856⋥≓≎⫖↰⪸3205))⨽((⊙↵-(⫖↰⪸19AA↛⩡⫤))⋷(⫖↰⪸1A28+⫖↰⪸2750)*(⫖↰⪸3800⇋≉))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫖↰⪸3479↺⫖↰⪸851⇼⇔∾⫖↰⪸1856⋥≓≎⫖↰⪸3205))⨽((⊙↵-(⫖↰⪸19AA↛⩡⫤))⋷(⫖↰⪸1A28+⫖↰⪸2750)*(⫖↰⪸3800⇋≉))","cot":[{"info":"⫖↰⪸3479↺⫖↰⪸851=⫖↰⪸851","layer":3},{"info":"⫖↰⪸1856⋥≓≎⫖↰⪸3205=⫖↰⪸47A1","layer":3},{"info":"⫖↰⪸851⇼⇔∾⫖↰⪸47A1=⫖↰⪸3B50","layer":2},{"info":"⇁⨣⪵⫖↰⪸3B50=NaN","layer":1},{"info":"⫖↰⪸19AA↛⩡⫤=⫖↰⪸-1A941B","layer":3},{"info":"⊙↵-⫖↰⪸-1A941B=⫖↰⪸144","layer":2},{"info":"⫖↰⪸1A28+⫖↰⪸2750=⫖↰⪸4578","layer":3},{"info":"⫖↰⪸3800⇋≉=⫖↰⪸733A","layer":3},{"info":"⫖↰⪸4578*⫖↰⪸733A=⫖↰⪸28638748","layer":2},{"info":"⫖↰⪸144⋷⫖↰⪸28638748=⫖↰⪸-288","layer":1},{"info":"NaN⨽⫖↰⪸-288=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"(($3124$≣⋋)⇋≉)⫸⊐((⪝⪂⫅$1059$)⪒$2721$≧⫂∧$5231$)⨸⪁($1398$⫸⊐$1368$)+⇶⊼(⫓⪴$4287$)+⇶⊼(($7647$⫡⨏$4205$)⋫)","expression":"((⫖↰⪸1984≣⋋)⇋≉)⫸⊐((⪝⪂⫅⫖↰⪸743)⪒⫖↰⪸16A9≧⫂∧⫖↰⪸303B)⨸⪁(⫖↰⪸986⫸⊐⫖↰⪸960)+⇶⊼(⫓⪴⫖↰⪸2593)+⇶⊼((⫖↰⪸4513⫡⨏⫖↰⪸2525)⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52426,"operation_count":13,"complexity_ratio":4032.769230769231,"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":3124,"base":12}}},"right_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":2721,"base":12},"right_expr":{"type":"numeric_atoms","value":5231,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1398,"base":12},"right_expr":{"type":"numeric_atoms","value":1368,"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":"numeric_atoms","value":7647,"base":12},"right_expr":{"type":"numeric_atoms","value":4205,"base":12}}}}},"used_operators":["g55IO6H4Gj","mqXw5SEYmG","XIabStNQrY","Tcnh7f0tEr","f6k1SAg4EE","XTarYq4gQB","Ph9nP6C5qx","TpPTUOHfaN","eLxqMNBOBk","JL8yIekQnl","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3124","layer":4},{"info":"compute unary expreesion, input=3124, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-155673","layer":3},{"info":"number node, value=2721","layer":4},{"info":"number node, value=5231","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=5231, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4758","layer":3},{"info":"compute binary expreesion, left_input=-155673, right_input=4758, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=150915","layer":2},{"info":"compute binary expreesion, left_input=-98, right_input=150915, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=386","layer":1},{"info":"number node, value=1398","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1368, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5347","layer":3},{"info":"number node, value=4287","layer":4},{"info":"compute unary expreesion, input=4287, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18378369","layer":3},{"info":"compute binary expreesion, left_input=5347, right_input=18378369, 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=7647","layer":4},{"info":"number node, value=4205","layer":4},{"info":"compute binary expreesion, left_input=7647, right_input=4205, 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=47428","layer":3},{"info":"compute unary expreesion, input=47428, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=47428","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=47428, 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=386, 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":"((⫖↰⪸1984≣⋋)⇋≉)⫸⊐((⪝⪂⫅⫖↰⪸743)⪒⫖↰⪸16A9≧⫂∧⫖↰⪸303B)⨸⪁(⫖↰⪸986⫸⊐⫖↰⪸960)+⇶⊼(⫓⪴⫖↰⪸2593)+⇶⊼((⫖↰⪸4513⫡⨏⫖↰⪸2525)⋫)=NaN","reverse_text":"NaN=((⫖↰⪸1984≣⋋)⇋≉)⫸⊐((⪝⪂⫅⫖↰⪸743)⪒⫖↰⪸16A9≧⫂∧⫖↰⪸303B)⨸⪁(⫖↰⪸986⫸⊐⫖↰⪸960)+⇶⊼(⫓⪴⫖↰⪸2593)+⇶⊼((⫖↰⪸4513⫡⨏⫖↰⪸2525)⋫)","cot":[{"info":"⫖↰⪸1984≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":2},{"info":"⪝⪂⫅⫖↰⪸743=⫖↰⪸-76109","layer":3},{"info":"⫖↰⪸16A9≧⫂∧⫖↰⪸303B=⫖↰⪸2906","layer":3},{"info":"⫖↰⪸-76109⪒⫖↰⪸2906=⫖↰⪸73403","layer":2},{"info":"⫖↰⪸-82⫸⊐⫖↰⪸73403=⫖↰⪸282","layer":1},{"info":"⫖↰⪸986⫸⊐⫖↰⪸960=⫖↰⪸3117","layer":3},{"info":"⫓⪴⫖↰⪸2593=⫖↰⪸61A3769","layer":3},{"info":"⫖↰⪸3117+⇶⊼⫖↰⪸61A3769=NaN","layer":2},{"info":"⫖↰⪸4513⫡⨏⫖↰⪸2525=⫖↰⪸23544","layer":3},{"info":"⫖↰⪸23544⋫=⫖↰⪸23544","layer":2},{"info":"NaN+⇶⊼⫖↰⪸23544=NaN","layer":1},{"info":"⫖↰⪸282⨸⪁NaN=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"(↔(≉($5416$⪠⩆⊳)))⫥∨⫟(↔($3911$≭$4198$⊠≄⫣))","expression":"(↔(≉(⫖↰⪸3174⪠⩆⊳)))⫥∨⫟(↔(⫖↰⪸231B≭⫖↰⪸251A⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":195,"operation_count":7,"complexity_ratio":27.857142857142858,"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":5416,"base":12}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3911,"base":12},"right_expr":{"type":"numeric_atoms","value":4198,"base":12}}}}},"used_operators":["KYD54nUTWz","ruOEQAzv1W","e1ybzncUwg","JLbD19bQDL","DIvbN7qnHd","rxpJgHHUmx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5416","layer":4},{"info":"compute unary expreesion, input=5416, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"compute unary expreesion, input=531, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-258","layer":1},{"info":"number node, value=3911","layer":4},{"info":"number node, value=4198","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=4198, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-258, right_input=-134, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↔(≉(⫖↰⪸3174⪠⩆⊳)))⫥∨⫟(↔(⫖↰⪸231B≭⫖↰⪸251A⊠≄⫣))=NaN","reverse_text":"NaN=(↔(≉(⫖↰⪸3174⪠⩆⊳)))⫥∨⫟(↔(⫖↰⪸231B≭⫖↰⪸251A⊠≄⫣))","cot":[{"info":"⫖↰⪸3174⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"≉⫖↰⪸0=⫖↰⪸383","layer":2},{"info":"↔⫖↰⪸383=⫖↰⪸-196","layer":1},{"info":"⫖↰⪸231B≭⫖↰⪸251A=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"↔NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸-196⫥∨⫟⫖↰⪸-B2=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"↥(≤/($2490$/$1657$))⊴((≦∁$3410$)⨟⋌⩍(⨈⫕$2162$))","expression":"↥(≤/(⫖↰⪸1536/⫖↰⪸B61))⊴((≦∁⫖↰⪸1B82)⨟⋌⩍(⨈⫕⫖↰⪸1302))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":991,"operation_count":7,"complexity_ratio":141.57142857142858,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2490,"base":12},"right_expr":{"type":"numeric_atoms","value":1657,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3410,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2162,"base":12}}}}},"used_operators":["A8NUZmVepG","Nsiff2A1zJ","eLAdDNolq6","XhwjNDsVaA","rGHVDoGpnC","9ICcGScMcE","megm06wKyl"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","Tcnh7f0tEr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸1B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2490","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=1657, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=483","layer":2},{"info":"number node, value=3410","layer":4},{"info":"compute unary expreesion, input=3410, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3410","layer":3},{"info":"number node, value=2162","layer":4},{"info":"compute unary expreesion, input=2162, 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=3410, right_input=-21, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=483, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute unary expreesion, input=-79, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":0}],"base":12,"result_base":12,"text":"↥(≤/(⫖↰⪸1536/⫖↰⪸B61))⊴((≦∁⫖↰⪸1B82)⨟⋌⩍(⨈⫕⫖↰⪸1302))=⫖↰⪸1B","reverse_text":"⫖↰⪸1B=↥(≤/(⫖↰⪸1536/⫖↰⪸B61))⊴((≦∁⫖↰⪸1B82)⨟⋌⩍(⨈⫕⫖↰⪸1302))","cot":[{"info":"⫖↰⪸1536/⫖↰⪸B61=⫖↰⪸1","layer":3},{"info":"≤/⫖↰⪸1=⫖↰⪸343","layer":2},{"info":"≦∁⫖↰⪸1B82=⫖↰⪸1B82","layer":3},{"info":"⨈⫕⫖↰⪸1302=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1B82⨟⋌⩍⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⫖↰⪸343⊴⫖↰⪸0=⫖↰⪸-67","layer":1},{"info":"↥⫖↰⪸-67=⫖↰⪸1B","layer":0}]}
{"id":694,"expression_no_base_symbol":"(($1467$%$1871$)⨐⩸⫘$1000$⇷$3739$)∑⇟⊟((↔$1933$)⩚⊴⇥($1316$↺$2190$))⨰(⊙↵-$2731$)∼(-$1307$)∑⇟⊟(($1159$⨽$1410$)⇋≉)","expression":"((⫖↰⪸A23%⫖↰⪸10BB)⨐⩸⫘⫖↰⪸6B4⇷⫖↰⪸21B7)∑⇟⊟((↔⫖↰⪸1151)⩚⊴⇥(⫖↰⪸918↺⫖↰⪸1326))⨰(⊙↵-⫖↰⪸16B7)∼(-⫖↰⪸90B)∑⇟⊟((⫖↰⪸807⨽⫖↰⪸996)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":441780,"operation_count":14,"complexity_ratio":31555.714285714286,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1467,"base":12},"right_expr":{"type":"numeric_atoms","value":1871,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":3739,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1933,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1316,"base":12},"right_expr":{"type":"numeric_atoms","value":2190,"base":12}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2731,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1307,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1159,"base":12},"right_expr":{"type":"numeric_atoms","value":1410,"base":12}}}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","fu6greOZ01","k8jYdgA6NY","mp7IySMOzn","NTOWxs364D","ruOEQAzv1W","7j4O788W3g","DyGG3AbaNP","oWn0xqSxBt","t8gj7n24qd","XIabStNQrY","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1871, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1467","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3739, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7478","layer":3},{"info":"compute binary expreesion, left_input=1467, right_input=7478, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1660","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1316, 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":3},{"info":"compute binary expreesion, left_input=-1660, right_input=2190, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-651","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-651, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"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":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1307","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1307, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=1410, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4032759","layer":3},{"info":"compute unary expreesion, input=-4032759, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-8065616","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8065616, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A23%⫖↰⪸10BB)⨐⩸⫘⫖↰⪸6B4⇷⫖↰⪸21B7)∑⇟⊟((↔⫖↰⪸1151)⩚⊴⇥(⫖↰⪸918↺⫖↰⪸1326))⨰(⊙↵-⫖↰⪸16B7)∼(-⫖↰⪸90B)∑⇟⊟((⫖↰⪸807⨽⫖↰⪸996)⇋≉)=NaN","reverse_text":"NaN=((⫖↰⪸A23%⫖↰⪸10BB)⨐⩸⫘⫖↰⪸6B4⇷⫖↰⪸21B7)∑⇟⊟((↔⫖↰⪸1151)⩚⊴⇥(⫖↰⪸918↺⫖↰⪸1326))⨰(⊙↵-⫖↰⪸16B7)∼(-⫖↰⪸90B)∑⇟⊟((⫖↰⪸807⨽⫖↰⪸996)⇋≉)","cot":[{"info":"⫖↰⪸A23%⫖↰⪸10BB=⫖↰⪸A23","layer":3},{"info":"⫖↰⪸6B4⇷⫖↰⪸21B7=⫖↰⪸43B2","layer":3},{"info":"⫖↰⪸A23⨐⩸⫘⫖↰⪸43B2=NaN","layer":2},{"info":"↔⫖↰⪸1151=⫖↰⪸-B64","layer":3},{"info":"⫖↰⪸918↺⫖↰⪸1326=⫖↰⪸1326","layer":3},{"info":"⫖↰⪸-B64⩚⊴⇥⫖↰⪸1326=⫖↰⪸-463","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸-463=NaN","layer":1},{"info":"⊙↵-⫖↰⪸16B7=⫖↰⪸-1","layer":3},{"info":"-⫖↰⪸90B=⫖↰⪸-90B","layer":3},{"info":"⫖↰⪸-1∼⫖↰⪸-90B=NaN","layer":2},{"info":"⫖↰⪸807⨽⫖↰⪸996=⫖↰⪸-1425933","layer":3},{"info":"⫖↰⪸-1425933⇋≉=⫖↰⪸-284B728","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸-284B728=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"⊥((≉$5006$⊴$4755$)∲⫓(↥$2386$)⨳⩥⨓($1149$⨳⩥⨓$2582$))","expression":"⊥((≉⫖↰⪸2A92⊴⫖↰⪸2903)∲⫓(↥⫖↰⪸146A)⨳⩥⨓(⫖↰⪸7B9⨳⩥⨓⫖↰⪸15B2))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7805,"operation_count":7,"complexity_ratio":1115.0,"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":5006,"base":12},"right_expr":{"type":"numeric_atoms","value":4755,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2386,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1149,"base":12},"right_expr":{"type":"numeric_atoms","value":2582,"base":12}}}}},"used_operators":["Q3PJZHRvZv","i8ToyICDmI","e1ybzncUwg","Nsiff2A1zJ","nCS4ZIUYfx","A8NUZmVepG"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5006","layer":4},{"info":"number node, value=4755","layer":4},{"info":"compute binary expreesion, left_input=5006, right_input=4755, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2582, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1433","layer":3},{"info":"compute binary expreesion, left_input=40, right_input=1433, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1393","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1393, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊥((≉⫖↰⪸2A92⊴⫖↰⪸2903)∲⫓(↥⫖↰⪸146A)⨳⩥⨓(⫖↰⪸7B9⨳⩥⨓⫖↰⪸15B2))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊥((≉⫖↰⪸2A92⊴⫖↰⪸2903)∲⫓(↥⫖↰⪸146A)⨳⩥⨓(⫖↰⪸7B9⨳⩥⨓⫖↰⪸15B2))","cot":[{"info":"⫖↰⪸2A92⊴⫖↰⪸2903=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"↥⫖↰⪸146A=⫖↰⪸34","layer":3},{"info":"⫖↰⪸7B9⨳⩥⨓⫖↰⪸15B2=⫖↰⪸9B5","layer":3},{"info":"⫖↰⪸34⨳⩥⨓⫖↰⪸9B5=⫖↰⪸981","layer":2},{"info":"NaN∲⫓⫖↰⪸981=⫖↰⪸0","layer":1},{"info":"⊥⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":696,"expression_no_base_symbol":"$1555$≎⊠⪸$1098$⩨(⪝⪂⫅$7131$)*(($2696$⋫)/$5072$⨎$2152$)*($6630$+⇶⊼$9108$≣⋋)⩷∴(($2121$⋫)≋⫹)","expression":"⫖↰⪸A97≎⊠⪸⫖↰⪸776⩨(⪝⪂⫅⫖↰⪸4163)*((⫖↰⪸1688⋫)/⫖↰⪸2B28⨎⫖↰⪸12B4)*(⫖↰⪸3A06+⇶⊼⫖↰⪸5330≣⋋)⩷∴((⫖↰⪸1289⋫)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5260,"operation_count":13,"complexity_ratio":404.61538461538464,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1555,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7131,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2696,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5072,"base":12},"right_expr":{"type":"numeric_atoms","value":2152,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6630,"base":12},"right_expr":{"type":"numeric_atoms","value":9108,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2121,"base":12}}}}},"used_operators":["9HNa5Wba9A","2DlMacCsIx","bJkvcejdHO","XTarYq4gQB","XhwjNDsVaA","JL8yIekQnl","rJVOvQCfKK","9FxExcQeMw","Tcnh7f0tEr","TpPTUOHfaN","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1098, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=402272","layer":3},{"info":"number node, value=7131","layer":4},{"info":"compute unary expreesion, input=7131, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1048257","layer":3},{"info":"compute binary expreesion, left_input=402272, right_input=-1048257, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"number node, value=2696","layer":4},{"info":"compute unary expreesion, input=2696, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2696","layer":3},{"info":"number node, value=5072","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=2152, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2152","layer":3},{"info":"compute binary expreesion, left_input=2696, right_input=2152, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=1, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9","layer":1},{"info":"number node, value=6630","layer":4},{"info":"number node, value=9108","layer":4},{"info":"compute binary expreesion, left_input=6630, right_input=9108, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2121","layer":3},{"info":"compute unary expreesion, input=2121, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4242","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4242, 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=9, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A97≎⊠⪸⫖↰⪸776⩨(⪝⪂⫅⫖↰⪸4163)*((⫖↰⪸1688⋫)/⫖↰⪸2B28⨎⫖↰⪸12B4)*(⫖↰⪸3A06+⇶⊼⫖↰⪸5330≣⋋)⩷∴((⫖↰⪸1289⋫)≋⫹)=NaN","reverse_text":"NaN=⫖↰⪸A97≎⊠⪸⫖↰⪸776⩨(⪝⪂⫅⫖↰⪸4163)*((⫖↰⪸1688⋫)/⫖↰⪸2B28⨎⫖↰⪸12B4)*(⫖↰⪸3A06+⇶⊼⫖↰⪸5330≣⋋)⩷∴((⫖↰⪸1289⋫)≋⫹)","cot":[{"info":"⫖↰⪸A97≎⊠⪸⫖↰⪸776=⫖↰⪸174968","layer":3},{"info":"⪝⪂⫅⫖↰⪸4163=⫖↰⪸-426769","layer":3},{"info":"⫖↰⪸174968⩨⫖↰⪸-426769=⫖↰⪸9","layer":2},{"info":"⫖↰⪸1688⋫=⫖↰⪸1688","layer":3},{"info":"⫖↰⪸2B28⨎⫖↰⪸12B4=⫖↰⪸12B4","layer":3},{"info":"⫖↰⪸1688/⫖↰⪸12B4=⫖↰⪸1","layer":2},{"info":"⫖↰⪸9*⫖↰⪸1=⫖↰⪸9","layer":1},{"info":"⫖↰⪸3A06+⇶⊼⫖↰⪸5330=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⫖↰⪸1289⋫=⫖↰⪸1289","layer":3},{"info":"⫖↰⪸1289≋⫹=⫖↰⪸-2556","layer":2},{"info":"NaN⩷∴⫖↰⪸-2556=NaN","layer":1},{"info":"⫖↰⪸9*NaN=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"≉((↯⪼$1662$)⪄$2797$⇷$6998$)⇷((≦∁$2064$)+⇶⊼$2312$∼$3421$)","expression":"≉((↯⪼⫖↰⪸B66)⪄⫖↰⪸1751⇷⫖↰⪸4072)⇷((≦∁⫖↰⪸1240)+⇶⊼⫖↰⪸1408∼⫖↰⪸1B91)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":94999,"operation_count":8,"complexity_ratio":11874.875,"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":1662,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2797,"base":12},"right_expr":{"type":"numeric_atoms","value":6998,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2064,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2312,"base":12},"right_expr":{"type":"numeric_atoms","value":3421,"base":12}}}}},"used_operators":["e1ybzncUwg","mp7IySMOzn","SUmda5xLS4","8jW3W4yZS5","TpPTUOHfaN","9ICcGScMcE","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, 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=2797","layer":4},{"info":"number node, value=6998","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=6998, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13996","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=13996, 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=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2064","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=3421, 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=2064, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉((↯⪼⫖↰⪸B66)⪄⫖↰⪸1751⇷⫖↰⪸4072)⇷((≦∁⫖↰⪸1240)+⇶⊼⫖↰⪸1408∼⫖↰⪸1B91)=NaN","reverse_text":"NaN=≉((↯⪼⫖↰⪸B66)⪄⫖↰⪸1751⇷⫖↰⪸4072)⇷((≦∁⫖↰⪸1240)+⇶⊼⫖↰⪸1408∼⫖↰⪸1B91)","cot":[{"info":"↯⪼⫖↰⪸B66=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1751⇷⫖↰⪸4072=⫖↰⪸8124","layer":3},{"info":"⫖↰⪸-19⪄⫖↰⪸8124=⫖↰⪸2377","layer":2},{"info":"≦∁⫖↰⪸1240=⫖↰⪸1240","layer":3},{"info":"⫖↰⪸1408∼⫖↰⪸1B91=NaN","layer":3},{"info":"⫖↰⪸1240+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸2377⇷NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"((⫓⪴($1922$⋳⪒$1316$))⪠⩆⊳)⋓(($3734$≭$3439$)⪮%⊝($4479$⇷$1914$)⋳⪒($1032$⇷$3280$)⪛($1079$⩤))","expression":"((⫓⪴(⫖↰⪸1142⋳⪒⫖↰⪸918))⪠⩆⊳)⋓((⫖↰⪸21B2≭⫖↰⪸1BA7)⪮%⊝(⫖↰⪸2713⇷⫖↰⪸1136)⋳⪒(⫖↰⪸720⇷⫖↰⪸1A94)⪛(⫖↰⪸75B⩤))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":79460,"operation_count":11,"complexity_ratio":7223.636363636364,"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":1922,"base":12},"right_expr":{"type":"numeric_atoms","value":1316,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3734,"base":12},"right_expr":{"type":"numeric_atoms","value":3439,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4479,"base":12},"right_expr":{"type":"numeric_atoms","value":1914,"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":3280,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1079,"base":12}}}}},"used_operators":["T2fj7uvVaJ","JLbD19bQDL","eLxqMNBOBk","12rbrZMWeM","IWmyXbctLI","rxpJgHHUmx","mp7IySMOzn","uFcxV4UQCh","Z2TMIBDE3Q"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1922","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=1316, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2241","layer":3},{"info":"compute unary expreesion, input=2241, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5022081","layer":2},{"info":"compute unary expreesion, input=5022081, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=3734","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=3439, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4479","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=4479, right_input=1914, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3828","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3828, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=3280, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6560","layer":3},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1079","layer":3},{"info":"compute binary expreesion, left_input=6560, right_input=-1079, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-993","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-993, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴(⫖↰⪸1142⋳⪒⫖↰⪸918))⪠⩆⊳)⋓((⫖↰⪸21B2≭⫖↰⪸1BA7)⪮%⊝(⫖↰⪸2713⇷⫖↰⪸1136)⋳⪒(⫖↰⪸720⇷⫖↰⪸1A94)⪛(⫖↰⪸75B⩤))=NaN","reverse_text":"NaN=((⫓⪴(⫖↰⪸1142⋳⪒⫖↰⪸918))⪠⩆⊳)⋓((⫖↰⪸21B2≭⫖↰⪸1BA7)⪮%⊝(⫖↰⪸2713⇷⫖↰⪸1136)⋳⪒(⫖↰⪸720⇷⫖↰⪸1A94)⪛(⫖↰⪸75B⩤))","cot":[{"info":"⫖↰⪸1142⋳⪒⫖↰⪸918=⫖↰⪸1369","layer":3},{"info":"⫓⪴⫖↰⪸1369=⫖↰⪸1822369","layer":2},{"info":"⫖↰⪸1822369⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸21B2≭⫖↰⪸1BA7=NaN","layer":3},{"info":"⫖↰⪸2713⇷⫖↰⪸1136=⫖↰⪸2270","layer":3},{"info":"NaN⪮%⊝⫖↰⪸2270=NaN","layer":2},{"info":"⫖↰⪸720⇷⫖↰⪸1A94=⫖↰⪸3968","layer":3},{"info":"⫖↰⪸75B⩤=⫖↰⪸-75B","layer":3},{"info":"⫖↰⪸3968⪛⫖↰⪸-75B=⫖↰⪸-6A9","layer":2},{"info":"NaN⋳⪒⫖↰⪸-6A9=NaN","layer":1},{"info":"⫖↰⪸0⋓NaN=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"(⊙↵-(($1317$/$7251$)⨎($4189$⋷$1617$)))⨓((-$3863$⨓$2294$)+⇶⊼(⨵≀≌($8688$≋⫹)))","expression":"(⊙↵-((⫖↰⪸919/⫖↰⪸4243)⨎(⫖↰⪸2511⋷⫖↰⪸B29)))⨓((-⫖↰⪸229B⨓⫖↰⪸13B2)+⇶⊼(⨵≀≌(⫖↰⪸5040≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20685,"operation_count":10,"complexity_ratio":2068.5,"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":1317,"base":12},"right_expr":{"type":"numeric_atoms","value":7251,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4189,"base":12},"right_expr":{"type":"numeric_atoms","value":1617,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3863,"base":12},"right_expr":{"type":"numeric_atoms","value":2294,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8688,"base":12}}}}},"used_operators":["3ViojmjbAp","oWn0xqSxBt","rJVOvQCfKK","XhwjNDsVaA","23Mk6UjR3U","TpPTUOHfaN","t8gj7n24qd","srAu1WTS94","N41Kp7NANJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=7251","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=7251, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4189","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=1617, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-955","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-955, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-955","layer":2},{"info":"compute unary expreesion, input=-955, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"number node, value=3863","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=2294, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2297","layer":3},{"info":"compute unary expreesion, input=-2297, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2297","layer":2},{"info":"number node, value=8688","layer":4},{"info":"compute unary expreesion, input=8688, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-17376","layer":3},{"info":"compute unary expreesion, input=-17376, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=301925376","layer":2},{"info":"compute binary expreesion, left_input=2297, right_input=301925376, 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=196, 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":"(⊙↵-((⫖↰⪸919/⫖↰⪸4243)⨎(⫖↰⪸2511⋷⫖↰⪸B29)))⨓((-⫖↰⪸229B⨓⫖↰⪸13B2)+⇶⊼(⨵≀≌(⫖↰⪸5040≋⫹)))=NaN","reverse_text":"NaN=(⊙↵-((⫖↰⪸919/⫖↰⪸4243)⨎(⫖↰⪸2511⋷⫖↰⪸B29)))⨓((-⫖↰⪸229B⨓⫖↰⪸13B2)+⇶⊼(⨵≀≌(⫖↰⪸5040≋⫹)))","cot":[{"info":"⫖↰⪸919/⫖↰⪸4243=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2511⋷⫖↰⪸B29=⫖↰⪸-677","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸-677=⫖↰⪸-677","layer":2},{"info":"⊙↵-⫖↰⪸-677=⫖↰⪸144","layer":1},{"info":"⫖↰⪸229B⨓⫖↰⪸13B2=⫖↰⪸-13B5","layer":3},{"info":"-⫖↰⪸-13B5=⫖↰⪸13B5","layer":2},{"info":"⫖↰⪸5040≋⫹=⫖↰⪸-A080","layer":3},{"info":"⨵≀≌⫖↰⪸-A080=⫖↰⪸85145400","layer":2},{"info":"⫖↰⪸13B5+⇶⊼⫖↰⪸85145400=NaN","layer":1},{"info":"⫖↰⪸144⨓NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"⪝⪂⫅($1448$⨟⋌⩍$7871$≧⫂∧($5148$⊘)↛⩡⫤)","expression":"⪝⪂⫅(⫖↰⪸A08⨟⋌⩍⫖↰⪸467B≧⫂∧(⫖↰⪸2B90⊘)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1724,"operation_count":5,"complexity_ratio":344.8,"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":1448,"base":12},"right_expr":{"type":"numeric_atoms","value":7871,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5148,"base":12}}}}},"used_operators":["XTarYq4gQB","FU0Cs4j7VP","Ph9nP6C5qx","rGHVDoGpnC","gu96TGCTMs"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸3179380","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1448","layer":4},{"info":"number node, value=7871","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=7871, 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=5148","layer":4},{"info":"compute unary expreesion, input=5148, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-63728","layer":1},{"info":"compute unary expreesion, input=-63728, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=9368016","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(⫖↰⪸A08⨟⋌⩍⫖↰⪸467B≧⫂∧(⫖↰⪸2B90⊘)↛⩡⫤)=⫖↰⪸3179380","reverse_text":"⫖↰⪸3179380=⪝⪂⫅(⫖↰⪸A08⨟⋌⩍⫖↰⪸467B≧⫂∧(⫖↰⪸2B90⊘)↛⩡⫤)","cot":[{"info":"⫖↰⪸A08⨟⋌⩍⫖↰⪸467B=NaN","layer":3},{"info":"⫖↰⪸2B90⊘=⫖↰⪸0","layer":3},{"info":"NaN≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸-335↛⩡⫤=⫖↰⪸-30A68","layer":1},{"info":"⪝⪂⫅⫖↰⪸-30A68=⫖↰⪸3179380","layer":0}]}
{"id":701,"expression_no_base_symbol":"($1228$⨪↰⇹$1891$⫸⊐$1369$∑⇟⊟$1140$)⋥≓≎(↣≠⋷($3235$⋫))-($1194$≧⫂∧$1141$≎⊠⪸($1289$↙$3456$))⋝⋈⪟((⪝⪂⫅$1812$)⫥∨⫟$1016$↬$2603$)","expression":"(⫖↰⪸864⨪↰⇹⫖↰⪸1117⫸⊐⫖↰⪸961∑⇟⊟⫖↰⪸7B0)⋥≓≎(↣≠⋷(⫖↰⪸1A57⋫))-(⫖↰⪸836≧⫂∧⫖↰⪸7B1≎⊠⪸(⫖↰⪸8B5↙⫖↰⪸2000))⋝⋈⪟((⪝⪂⫅⫖↰⪸1070)⫥∨⫟⫖↰⪸708↬⫖↰⪸160B)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8271,"operation_count":14,"complexity_ratio":590.7857142857143,"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":1228,"base":12},"right_expr":{"type":"numeric_atoms","value":1891,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1369,"base":12},"right_expr":{"type":"numeric_atoms","value":1140,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3235,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1194,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1289,"base":12},"right_expr":{"type":"numeric_atoms","value":3456,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1812,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":2603,"base":12}}}}},"used_operators":["rysDP5nf3Z","Qy55tPpLXF","mqXw5SEYmG","tmPS8pqC7x","U7g4x0WXJJ","Asc51vEJeQ","JL8yIekQnl","2DDjHMKMc0","bJkvcejdHO","Ph9nP6C5qx","yyfyN0ffXY","KYD54nUTWz","XTarYq4gQB","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1891, 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=1228","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1140, 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=1228, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=3235","layer":4},{"info":"compute unary expreesion, input=3235, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3235","layer":3},{"info":"compute unary expreesion, input=3235, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=1194","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1141, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=668","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=3456, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10368","layer":3},{"info":"compute binary expreesion, left_input=668, right_input=-10368, 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=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-266364","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2603, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-266364, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸864⨪↰⇹⫖↰⪸1117⫸⊐⫖↰⪸961∑⇟⊟⫖↰⪸7B0)⋥≓≎(↣≠⋷(⫖↰⪸1A57⋫))-(⫖↰⪸836≧⫂∧⫖↰⪸7B1≎⊠⪸(⫖↰⪸8B5↙⫖↰⪸2000))⋝⋈⪟((⪝⪂⫅⫖↰⪸1070)⫥∨⫟⫖↰⪸708↬⫖↰⪸160B)=NaN","reverse_text":"NaN=(⫖↰⪸864⨪↰⇹⫖↰⪸1117⫸⊐⫖↰⪸961∑⇟⊟⫖↰⪸7B0)⋥≓≎(↣≠⋷(⫖↰⪸1A57⋫))-(⫖↰⪸836≧⫂∧⫖↰⪸7B1≎⊠⪸(⫖↰⪸8B5↙⫖↰⪸2000))⋝⋈⪟((⪝⪂⫅⫖↰⪸1070)⫥∨⫟⫖↰⪸708↬⫖↰⪸160B)","cot":[{"info":"⫖↰⪸864⨪↰⇹⫖↰⪸1117=⫖↰⪸864","layer":3},{"info":"⫖↰⪸961∑⇟⊟⫖↰⪸7B0=NaN","layer":3},{"info":"⫖↰⪸864⫸⊐NaN=NaN","layer":2},{"info":"⫖↰⪸1A57⋫=⫖↰⪸1A57","layer":3},{"info":"↣≠⋷⫖↰⪸1A57=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸836≧⫂∧⫖↰⪸7B1=⫖↰⪸478","layer":3},{"info":"⫖↰⪸8B5↙⫖↰⪸2000=⫖↰⪸-6000","layer":3},{"info":"⫖↰⪸478≎⊠⪸⫖↰⪸-6000=⫖↰⪸57","layer":2},{"info":"⪝⪂⫅⫖↰⪸1070=⫖↰⪸-10A190","layer":3},{"info":"⫖↰⪸708↬⫖↰⪸160B=NaN","layer":3},{"info":"⫖↰⪸-10A190⫥∨⫟NaN=NaN","layer":2},{"info":"⫖↰⪸57⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸57-NaN=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"⫓⪴(⩦⩻⨪($1845$≹⇙⪍$2445$%$4403$⩷∴$4192$))","expression":"⫓⪴(⩦⩻⨪(⫖↰⪸1099≹⇙⪍⫖↰⪸14B9%⫖↰⪸266B⩷∴⫖↰⪸2514))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12,"operation_count":5,"complexity_ratio":2.4,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1845,"base":12},"right_expr":{"type":"numeric_atoms","value":2445,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4403,"base":12},"right_expr":{"type":"numeric_atoms","value":4192,"base":12}}}}},"used_operators":["eLxqMNBOBk","2td37pGCOC","k8jYdgA6NY","AHs5Up7iyr","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=2445, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4403","layer":4},{"info":"number node, value=4192","layer":4},{"info":"compute binary expreesion, left_input=4403, right_input=4192, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=390, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⩦⩻⨪(⫖↰⪸1099≹⇙⪍⫖↰⪸14B9%⫖↰⪸266B⩷∴⫖↰⪸2514))=NaN","reverse_text":"NaN=⫓⪴(⩦⩻⨪(⫖↰⪸1099≹⇙⪍⫖↰⪸14B9%⫖↰⪸266B⩷∴⫖↰⪸2514))","cot":[{"info":"⫖↰⪸1099≹⇙⪍⫖↰⪸14B9=NaN","layer":3},{"info":"⫖↰⪸266B⩷∴⫖↰⪸2514=⫖↰⪸286","layer":3},{"info":"NaN%⫖↰⪸286=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"(($1790$-$1075$⋷$6983$∲⫓$3761$)↙(≉(↩$1213$)))⩚⊴⇥((⪲⇎$1152$)⪘⫢($1959$∑⇟⊟$2290$)⪠⩆⊳)","expression":"((⫖↰⪸1052-⫖↰⪸757⋷⫖↰⪸405B∲⫓⫖↰⪸2215)↙(≉(↩⫖↰⪸851)))⩚⊴⇥((⪲⇎⫖↰⪸800)⪘⫢(⫖↰⪸1173∑⇟⊟⫖↰⪸13AA)⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45,"operation_count":11,"complexity_ratio":4.090909090909091,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1790,"base":12},"right_expr":{"type":"numeric_atoms","value":1075,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6983,"base":12},"right_expr":{"type":"numeric_atoms","value":3761,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1213,"base":12}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1152,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1959,"base":12},"right_expr":{"type":"numeric_atoms","value":2290,"base":12}}}}},"used_operators":["NTOWxs364D","yyfyN0ffXY","23Mk6UjR3U","rysDP5nf3Z","i8ToyICDmI","e1ybzncUwg","jLgFTUHLKL","JLbD19bQDL","oacrs7FA3X","XPYlsWDdGa","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1790","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1075, op_id = rysDP5nf3Z binary_op_definition= 'None', output=715","layer":3},{"info":"number node, value=6983","layer":4},{"info":"number node, value=3761","layer":4},{"info":"compute binary expreesion, left_input=6983, right_input=3761, 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=715, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-715","layer":2},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6924","layer":3},{"info":"compute unary expreesion, input=-6924, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-6924","layer":2},{"info":"compute binary expreesion, left_input=-715, right_input=-6924, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-715","layer":1},{"info":"number node, value=1152","layer":4},{"info":"compute unary expreesion, input=1152, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2304","layer":3},{"info":"number node, value=1959","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=2290, 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=2304, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-715, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1052-⫖↰⪸757⋷⫖↰⪸405B∲⫓⫖↰⪸2215)↙(≉(↩⫖↰⪸851)))⩚⊴⇥((⪲⇎⫖↰⪸800)⪘⫢(⫖↰⪸1173∑⇟⊟⫖↰⪸13AA)⪠⩆⊳)=NaN","reverse_text":"NaN=((⫖↰⪸1052-⫖↰⪸757⋷⫖↰⪸405B∲⫓⫖↰⪸2215)↙(≉(↩⫖↰⪸851)))⩚⊴⇥((⪲⇎⫖↰⪸800)⪘⫢(⫖↰⪸1173∑⇟⊟⫖↰⪸13AA)⪠⩆⊳)","cot":[{"info":"⫖↰⪸1052-⫖↰⪸757=⫖↰⪸4B7","layer":3},{"info":"⫖↰⪸405B∲⫓⫖↰⪸2215=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4B7⋷⫖↰⪸0=⫖↰⪸-4B7","layer":2},{"info":"↩⫖↰⪸851=⫖↰⪸-4010","layer":3},{"info":"≉⫖↰⪸-4010=⫖↰⪸-4010","layer":2},{"info":"⫖↰⪸-4B7↙⫖↰⪸-4010=⫖↰⪸-4B7","layer":1},{"info":"⪲⇎⫖↰⪸800=⫖↰⪸1400","layer":3},{"info":"⫖↰⪸1173∑⇟⊟⫖↰⪸13AA=NaN","layer":3},{"info":"⫖↰⪸1400⪘⫢NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⫖↰⪸-4B7⩚⊴⇥NaN=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"((⨈⫕($2006$⫩⊇))%($2776$/$3612$)⫥∨⫟($1494$⪨≂$2264$))⊭↱(($1277$⨽$2169$%$4369$⪮%⊝$7349$)*($2681$≹⇙⪍$5347$⨵⪆$7272$≹⇙⪍$2752$))","expression":"((⨈⫕(⫖↰⪸11B2⫩⊇))%(⫖↰⪸1734/⫖↰⪸2110)⫥∨⫟(⫖↰⪸A46⪨≂⫖↰⪸1388))⊭↱((⫖↰⪸8A5⨽⫖↰⪸1309%⫖↰⪸2641⪮%⊝⫖↰⪸4305)*(⫖↰⪸1675≹⇙⪍⫖↰⪸3117⨵⪆⫖↰⪸4260≹⇙⪍⫖↰⪸1714))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2553,"operation_count":14,"complexity_ratio":182.35714285714286,"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":2006,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2776,"base":12},"right_expr":{"type":"numeric_atoms","value":3612,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1494,"base":12},"right_expr":{"type":"numeric_atoms","value":2264,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1277,"base":12},"right_expr":{"type":"numeric_atoms","value":2169,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4369,"base":12},"right_expr":{"type":"numeric_atoms","value":7349,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2681,"base":12},"right_expr":{"type":"numeric_atoms","value":5347,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7272,"base":12},"right_expr":{"type":"numeric_atoms","value":2752,"base":12}}}}},"used_operators":["COABgblf1C","k8jYdgA6NY","megm06wKyl","BjRHVeLaeN","KYD54nUTWz","XhwjNDsVaA","sdazOOVcIp","9HNa5Wba9A","8HhzD0ZcuI","IWmyXbctLI","2DQ55sFlQl","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2006","layer":4},{"info":"compute unary expreesion, input=2006, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1964","layer":3},{"info":"compute unary expreesion, input=-1964, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=2776","layer":4},{"info":"number node, value=3612","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=3612, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=2264, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1438","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1438, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=2169, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4897380","layer":3},{"info":"number node, value=4369","layer":4},{"info":"number node, value=7349","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=7349, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9054","layer":3},{"info":"compute binary expreesion, left_input=-4897380, right_input=9054, op_id = k8jYdgA6NY binary_op_definition= 'None', output=834","layer":2},{"info":"number node, value=2681","layer":4},{"info":"number node, value=5347","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=5347, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=7272","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=7272, right_input=2752, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=834, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=133440","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=133440, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨈⫕(⫖↰⪸11B2⫩⊇))%(⫖↰⪸1734/⫖↰⪸2110)⫥∨⫟(⫖↰⪸A46⪨≂⫖↰⪸1388))⊭↱((⫖↰⪸8A5⨽⫖↰⪸1309%⫖↰⪸2641⪮%⊝⫖↰⪸4305)*(⫖↰⪸1675≹⇙⪍⫖↰⪸3117⨵⪆⫖↰⪸4260≹⇙⪍⫖↰⪸1714))=NaN","reverse_text":"NaN=((⨈⫕(⫖↰⪸11B2⫩⊇))%(⫖↰⪸1734/⫖↰⪸2110)⫥∨⫟(⫖↰⪸A46⪨≂⫖↰⪸1388))⊭↱((⫖↰⪸8A5⨽⫖↰⪸1309%⫖↰⪸2641⪮%⊝⫖↰⪸4305)*(⫖↰⪸1675≹⇙⪍⫖↰⪸3117⨵⪆⫖↰⪸4260≹⇙⪍⫖↰⪸1714))","cot":[{"info":"⫖↰⪸11B2⫩⊇=⫖↰⪸-1178","layer":3},{"info":"⨈⫕⫖↰⪸-1178=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸1734/⫖↰⪸2110=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A46⪨≂⫖↰⪸1388=⫖↰⪸-9BA","layer":3},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸-9BA=NaN","layer":2},{"info":"⫖↰⪸-19%NaN=NaN","layer":1},{"info":"⫖↰⪸8A5⨽⫖↰⪸1309=⫖↰⪸-1782170","layer":3},{"info":"⫖↰⪸2641⪮%⊝⫖↰⪸4305=⫖↰⪸52A6","layer":3},{"info":"⫖↰⪸-1782170%⫖↰⪸52A6=⫖↰⪸596","layer":2},{"info":"⫖↰⪸1675≹⇙⪍⫖↰⪸3117=NaN","layer":3},{"info":"⫖↰⪸4260≹⇙⪍⫖↰⪸1714=NaN","layer":3},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸596*⫖↰⪸114=⫖↰⪸65280","layer":1},{"info":"NaN⊭↱⫖↰⪸65280=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"∥⊫((⊄⩳↩$6362$)≹⇙⪍($4492$⪢$4441$)/($2507$%$8477$)⫸⊐$1184$≧⫂∧$1477$)","expression":"∥⊫((⊄⩳↩⫖↰⪸3822)≹⇙⪍(⫖↰⪸2724⪢⫖↰⪸26A1)/(⫖↰⪸154B%⫖↰⪸4AA5)⫸⊐⫖↰⪸828≧⫂∧⫖↰⪸A31)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5684,"operation_count":8,"complexity_ratio":710.5,"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":6362,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4492,"base":12},"right_expr":{"type":"numeric_atoms","value":4441,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2507,"base":12},"right_expr":{"type":"numeric_atoms","value":8477,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1184,"base":12},"right_expr":{"type":"numeric_atoms","value":1477,"base":12}}}}},"used_operators":["P8v4zCKN1o","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","dWAJyo7jo9","mqXw5SEYmG","k8jYdgA6NY","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6362","layer":4},{"info":"compute unary expreesion, input=6362, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19086","layer":3},{"info":"number node, value=4492","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=4492, right_input=4441, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=-19086, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2507","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=8477, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2507","layer":3},{"info":"number node, value=1184","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1477, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1004","layer":3},{"info":"compute binary expreesion, left_input=2507, right_input=1004, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3891","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3891, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫((⊄⩳↩⫖↰⪸3822)≹⇙⪍(⫖↰⪸2724⪢⫖↰⪸26A1)/(⫖↰⪸154B%⫖↰⪸4AA5)⫸⊐⫖↰⪸828≧⫂∧⫖↰⪸A31)=NaN","reverse_text":"NaN=∥⊫((⊄⩳↩⫖↰⪸3822)≹⇙⪍(⫖↰⪸2724⪢⫖↰⪸26A1)/(⫖↰⪸154B%⫖↰⪸4AA5)⫸⊐⫖↰⪸828≧⫂∧⫖↰⪸A31)","cot":[{"info":"⊄⩳↩⫖↰⪸3822=⫖↰⪸-B066","layer":3},{"info":"⫖↰⪸2724⪢⫖↰⪸26A1=NaN","layer":3},{"info":"⫖↰⪸-B066≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸154B%⫖↰⪸4AA5=⫖↰⪸154B","layer":3},{"info":"⫖↰⪸828≧⫂∧⫖↰⪸A31=⫖↰⪸6B8","layer":3},{"info":"⫖↰⪸154B⫸⊐⫖↰⪸6B8=⫖↰⪸2303","layer":2},{"info":"NaN/⫖↰⪸2303=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"(⋗⩬⋾($3953$⫡⨏$3007$)⫥∨⫟(⩦⩻⨪$4050$))⪮%⊝((↯⪼($3909$⨰$2712$))⋳⪒(($2626$⊘)-$2332$⪒$1552$))","expression":"(⋗⩬⋾(⫖↰⪸2355⫡⨏⫖↰⪸18A7)⫥∨⫟(⩦⩻⨪⫖↰⪸2416))⪮%⊝((↯⪼(⫖↰⪸2319⨰⫖↰⪸16A0))⋳⪒((⫖↰⪸162A⊘)-⫖↰⪸1424⪒⫖↰⪸A94))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":243,"operation_count":11,"complexity_ratio":22.09090909090909,"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":3953,"base":12},"right_expr":{"type":"numeric_atoms","value":3007,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4050,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3909,"base":12},"right_expr":{"type":"numeric_atoms","value":2712,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2626,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2332,"base":12},"right_expr":{"type":"numeric_atoms","value":1552,"base":12}}}}},"used_operators":["IWmyXbctLI","DpFCA1CohY","KYD54nUTWz","QMFrweE19q","2td37pGCOC","12rbrZMWeM","8jW3W4yZS5","eewbuw0ToL","rysDP5nf3Z","gu96TGCTMs","f6k1SAg4EE"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3953","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=3953, right_input=3007, 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=26562","layer":3},{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4050","layer":3},{"info":"compute binary expreesion, left_input=26562, right_input=4050, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3909","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=3909, right_input=2712, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1207","layer":3},{"info":"compute unary expreesion, input=1207, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2626","layer":4},{"info":"compute unary expreesion, input=2626, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=2332","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=1552, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3884","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3884, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3884","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=3884, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4213","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4213, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾(⫖↰⪸2355⫡⨏⫖↰⪸18A7)⫥∨⫟(⩦⩻⨪⫖↰⪸2416))⪮%⊝((↯⪼(⫖↰⪸2319⨰⫖↰⪸16A0))⋳⪒((⫖↰⪸162A⊘)-⫖↰⪸1424⪒⫖↰⪸A94))=NaN","reverse_text":"NaN=(⋗⩬⋾(⫖↰⪸2355⫡⨏⫖↰⪸18A7)⫥∨⫟(⩦⩻⨪⫖↰⪸2416))⪮%⊝((↯⪼(⫖↰⪸2319⨰⫖↰⪸16A0))⋳⪒((⫖↰⪸162A⊘)-⫖↰⪸1424⪒⫖↰⪸A94))","cot":[{"info":"⫖↰⪸2355⫡⨏⫖↰⪸18A7=⫖↰⪸13456","layer":3},{"info":"⩦⩻⨪⫖↰⪸2416=⫖↰⪸2416","layer":3},{"info":"⫖↰⪸13456⫥∨⫟⫖↰⪸2416=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫖↰⪸2319⨰⫖↰⪸16A0=⫖↰⪸847","layer":3},{"info":"↯⪼⫖↰⪸847=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸162A⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1424⪒⫖↰⪸A94=⫖↰⪸-22B8","layer":3},{"info":"⫖↰⪸0-⫖↰⪸-22B8=⫖↰⪸22B8","layer":2},{"info":"⫖↰⪸-19⋳⪒⫖↰⪸22B8=⫖↰⪸-2531","layer":1},{"info":"NaN⪮%⊝⫖↰⪸-2531=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"($2879$⋓$4293$⊭∹↮)∑⇟⊟(($1573$+⇶⊼$1804$)⨓$1347$⪛$1030$)⨸⪁((↣≠⋷($4159$⨟⋌⩍$4407$))%(⪝⪂⫅$1026$)∲⫓$1154$≎⊠⪸$3899$)","expression":"(⫖↰⪸17BB⋓⫖↰⪸2599⊭∹↮)∑⇟⊟((⫖↰⪸AB1+⇶⊼⫖↰⪸1064)⨓⫖↰⪸943⪛⫖↰⪸71A)⨸⪁((↣≠⋷(⫖↰⪸24A7⨟⋌⩍⫖↰⪸2673))%(⪝⪂⫅⫖↰⪸716)∲⫓⫖↰⪸802≎⊠⪸⫖↰⪸230B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":103172,"operation_count":13,"complexity_ratio":7936.307692307692,"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":2879,"base":12},"right_expr":{"type":"numeric_atoms","value":4293,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1573,"base":12},"right_expr":{"type":"numeric_atoms","value":1804,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1347,"base":12},"right_expr":{"type":"numeric_atoms","value":1030,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4159,"base":12},"right_expr":{"type":"numeric_atoms","value":4407,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1026,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1154,"base":12},"right_expr":{"type":"numeric_atoms","value":3899,"base":12}}}}},"used_operators":["g55IO6H4Gj","U7g4x0WXJJ","xNBdhnnwKq","T2fj7uvVaJ","3ViojmjbAp","TpPTUOHfaN","uFcxV4UQCh","k8jYdgA6NY","Asc51vEJeQ","rGHVDoGpnC","i8ToyICDmI","XTarYq4gQB","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2879","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=4293, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1804, 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=1347","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1030, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=317","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=317, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-320, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4159","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=4407, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-150822","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=3899, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=298413","layer":3},{"info":"compute binary expreesion, left_input=-150822, right_input=298413, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸17BB⋓⫖↰⪸2599⊭∹↮)∑⇟⊟((⫖↰⪸AB1+⇶⊼⫖↰⪸1064)⨓⫖↰⪸943⪛⫖↰⪸71A)⨸⪁((↣≠⋷(⫖↰⪸24A7⨟⋌⩍⫖↰⪸2673))%(⪝⪂⫅⫖↰⪸716)∲⫓⫖↰⪸802≎⊠⪸⫖↰⪸230B)=NaN","reverse_text":"NaN=(⫖↰⪸17BB⋓⫖↰⪸2599⊭∹↮)∑⇟⊟((⫖↰⪸AB1+⇶⊼⫖↰⪸1064)⨓⫖↰⪸943⪛⫖↰⪸71A)⨸⪁((↣≠⋷(⫖↰⪸24A7⨟⋌⩍⫖↰⪸2673))%(⪝⪂⫅⫖↰⪸716)∲⫓⫖↰⪸802≎⊠⪸⫖↰⪸230B)","cot":[{"info":"⫖↰⪸17BB⋓⫖↰⪸2599=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊭∹↮=⫖↰⪸0","layer":2},{"info":"⫖↰⪸AB1+⇶⊼⫖↰⪸1064=NaN","layer":3},{"info":"⫖↰⪸943⪛⫖↰⪸71A=⫖↰⪸225","layer":3},{"info":"NaN⨓⫖↰⪸225=⫖↰⪸-228","layer":2},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸-228=NaN","layer":1},{"info":"⫖↰⪸24A7⨟⋌⩍⫖↰⪸2673=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⪝⪂⫅⫖↰⪸716=⫖↰⪸-73346","layer":3},{"info":"⫖↰⪸802≎⊠⪸⫖↰⪸230B=⫖↰⪸124839","layer":3},{"info":"⫖↰⪸-73346∲⫓⫖↰⪸124839=⫖↰⪸0","layer":2},{"info":"NaN%⫖↰⪸0=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"(⊥(⨰⫟⨤(⨰⫟⨤$1109$)))/($6255$⨸⪁$4487$/$4553$⪄$7587$)⋥≓≎((≦∁$1759$)⪨≂(⫓⪴$4627$))","expression":"(⊥(⨰⫟⨤(⨰⫟⨤⫖↰⪸785)))/(⫖↰⪸3753⨸⪁⫖↰⪸271B/⫖↰⪸2775⪄⫖↰⪸4483)⋥≓≎((≦∁⫖↰⪸1027)⪨≂(⫓⪴⫖↰⪸2817))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8363,"operation_count":11,"complexity_ratio":760.2727272727273,"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":1109,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6255,"base":12},"right_expr":{"type":"numeric_atoms","value":4487,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4553,"base":12},"right_expr":{"type":"numeric_atoms","value":7587,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1759,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4627,"base":12}}}}},"used_operators":["XhwjNDsVaA","Q3PJZHRvZv","Tw270M8GLb","Qy55tPpLXF","g55IO6H4Gj","SUmda5xLS4","sdazOOVcIp","9ICcGScMcE","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, 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 = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=6255","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=6255, right_input=4487, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21484","layer":3},{"info":"number node, value=4553","layer":4},{"info":"number node, value=7587","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=7587, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-700281","layer":3},{"info":"compute binary expreesion, left_input=21484, right_input=-700281, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1759","layer":3},{"info":"number node, value=4627","layer":4},{"info":"compute unary expreesion, input=4627, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21409129","layer":3},{"info":"compute binary expreesion, left_input=1759, right_input=21409129, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-42814638","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-42814638, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-85629242","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-85629242, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊥(⨰⫟⨤(⨰⫟⨤⫖↰⪸785)))/(⫖↰⪸3753⨸⪁⫖↰⪸271B/⫖↰⪸2775⪄⫖↰⪸4483)⋥≓≎((≦∁⫖↰⪸1027)⪨≂(⫓⪴⫖↰⪸2817))=NaN","reverse_text":"NaN=(⊥(⨰⫟⨤(⨰⫟⨤⫖↰⪸785)))/(⫖↰⪸3753⨸⪁⫖↰⪸271B/⫖↰⪸2775⪄⫖↰⪸4483)⋥≓≎((≦∁⫖↰⪸1027)⪨≂(⫓⪴⫖↰⪸2817))","cot":[{"info":"⨰⫟⨤⫖↰⪸785=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⫖↰⪸3753⨸⪁⫖↰⪸271B=⫖↰⪸10524","layer":3},{"info":"⫖↰⪸2775⪄⫖↰⪸4483=⫖↰⪸-299309","layer":3},{"info":"⫖↰⪸10524/⫖↰⪸-299309=⫖↰⪸-1","layer":2},{"info":"≦∁⫖↰⪸1027=⫖↰⪸1027","layer":3},{"info":"⫓⪴⫖↰⪸2817=⫖↰⪸7205661","layer":3},{"info":"⫖↰⪸1027⪨≂⫖↰⪸7205661=⫖↰⪸-12408BA6","layer":2},{"info":"⫖↰⪸-1⋥≓≎⫖↰⪸-12408BA6=⫖↰⪸-24815B62","layer":1},{"info":"NaN/⫖↰⪸-24815B62=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(((↥$1377$)⊘)⫸⊐($7478$⨸⪁$1711$)≭(≤/$2535$))⪠⩆⊳","expression":"(((↥⫖↰⪸969)⊘)⫸⊐(⫖↰⪸43B2⨸⪁⫖↰⪸BA7)≭(≤/⫖↰⪸1573))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":64,"operation_count":7,"complexity_ratio":9.142857142857142,"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":1377,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7478,"base":12},"right_expr":{"type":"numeric_atoms","value":1711,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2535,"base":12}}}}},"used_operators":["JLbD19bQDL","mqXw5SEYmG","gu96TGCTMs","A8NUZmVepG","rxpJgHHUmx","g55IO6H4Gj","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸0","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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=7478","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=7478, right_input=1711, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18378","layer":3},{"info":"number node, value=2535","layer":4},{"info":"compute unary expreesion, input=2535, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2051","layer":3},{"info":"compute binary expreesion, left_input=18378, right_input=-2051, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(((↥⫖↰⪸969)⊘)⫸⊐(⫖↰⪸43B2⨸⪁⫖↰⪸BA7)≭(≤/⫖↰⪸1573))⪠⩆⊳=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((↥⫖↰⪸969)⊘)⫸⊐(⫖↰⪸43B2⨸⪁⫖↰⪸BA7)≭(≤/⫖↰⪸1573))⪠⩆⊳","cot":[{"info":"↥⫖↰⪸969=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸43B2⨸⪁⫖↰⪸BA7=⫖↰⪸A776","layer":3},{"info":"≤/⫖↰⪸1573=⫖↰⪸-122B","layer":3},{"info":"⫖↰⪸A776≭⫖↰⪸-122B=NaN","layer":2},{"info":"⫖↰⪸0⫸⊐NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪠⩆⊳=⫖↰⪸0","layer":0}]}
{"id":710,"expression_no_base_symbol":"≉((⊄⩳↩($1047$∑⇟⊟$9450$))⫡⨏(∥⊫$6858$)⋥≓≎$1430$⋳⪒$3768$)","expression":"≉((⊄⩳↩(⫖↰⪸733∑⇟⊟⫖↰⪸5576))⫡⨏(∥⊫⫖↰⪸3B76)⋥≓≎⫖↰⪸9B2⋳⪒⫖↰⪸2220)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27,"operation_count":7,"complexity_ratio":3.857142857142857,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1047,"base":12},"right_expr":{"type":"numeric_atoms","value":9450,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6858,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1430,"base":12},"right_expr":{"type":"numeric_atoms","value":3768,"base":12}}}}},"used_operators":["e1ybzncUwg","QMFrweE19q","8w2t5hMYqp","U7g4x0WXJJ","Qy55tPpLXF","P8v4zCKN1o","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=9450","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=9450, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=6858","layer":4},{"info":"compute unary expreesion, input=6858, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7726","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=3768","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=3768, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1195","layer":3},{"info":"compute binary expreesion, left_input=7726, right_input=-1195, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-10083","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10083, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉((⊄⩳↩(⫖↰⪸733∑⇟⊟⫖↰⪸5576))⫡⨏(∥⊫⫖↰⪸3B76)⋥≓≎⫖↰⪸9B2⋳⪒⫖↰⪸2220)=NaN","reverse_text":"NaN=≉((⊄⩳↩(⫖↰⪸733∑⇟⊟⫖↰⪸5576))⫡⨏(∥⊫⫖↰⪸3B76)⋥≓≎⫖↰⪸9B2⋳⪒⫖↰⪸2220)","cot":[{"info":"⫖↰⪸733∑⇟⊟⫖↰⪸5576=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"∥⊫⫖↰⪸3B76=⫖↰⪸457A","layer":3},{"info":"⫖↰⪸9B2⋳⪒⫖↰⪸2220=⫖↰⪸-837","layer":3},{"info":"⫖↰⪸457A⋥≓≎⫖↰⪸-837=⫖↰⪸-5A03","layer":2},{"info":"NaN⫡⨏⫖↰⪸-5A03=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"($3652$⫸⊐$1692$)⪘⫢($2273$⊭↱$3720$)+⇶⊼(⇁⨣⪵($1500$∲⫓$1055$))⫡⨏((($1129$⨸⪁$1665$)⨳⩥⨓($4347$+$1930$))⪠⩆⊳)","expression":"(⫖↰⪸2144⫸⊐⫖↰⪸B90)⪘⫢(⫖↰⪸1395⊭↱⫖↰⪸21A0)+⇶⊼(⇁⨣⪵(⫖↰⪸A50∲⫓⫖↰⪸73B))⫡⨏(((⫖↰⪸7A1⨸⪁⫖↰⪸B69)⨳⩥⨓(⫖↰⪸2623+⫖↰⪸114A))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69,"operation_count":11,"complexity_ratio":6.2727272727272725,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3652,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2273,"base":12},"right_expr":{"type":"numeric_atoms","value":3720,"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":1055,"base":12}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1129,"base":12},"right_expr":{"type":"numeric_atoms","value":1665,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4347,"base":12},"right_expr":{"type":"numeric_atoms","value":1930,"base":12}}}}},"used_operators":["QMFrweE19q","TpPTUOHfaN","oacrs7FA3X","mqXw5SEYmG","COABgblf1C","inkyxCbjAn","i8ToyICDmI","JLbD19bQDL","nCS4ZIUYfx","g55IO6H4Gj","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫖↰⪸553","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3652","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=1692, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6643","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=3720, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2899","layer":3},{"info":"compute binary expreesion, left_input=6643, right_input=2899, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13162","layer":2},{"info":"number node, value=1500","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=1055, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=13162, 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=1129","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1665, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5588","layer":3},{"info":"number node, value=4347","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=1930, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6277","layer":3},{"info":"compute binary expreesion, left_input=5588, right_input=6277, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=689","layer":2},{"info":"compute unary expreesion, input=689, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=783","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2144⫸⊐⫖↰⪸B90)⪘⫢(⫖↰⪸1395⊭↱⫖↰⪸21A0)+⇶⊼(⇁⨣⪵(⫖↰⪸A50∲⫓⫖↰⪸73B))⫡⨏(((⫖↰⪸7A1⨸⪁⫖↰⪸B69)⨳⩥⨓(⫖↰⪸2623+⫖↰⪸114A))⪠⩆⊳)=⫖↰⪸553","reverse_text":"⫖↰⪸553=(⫖↰⪸2144⫸⊐⫖↰⪸B90)⪘⫢(⫖↰⪸1395⊭↱⫖↰⪸21A0)+⇶⊼(⇁⨣⪵(⫖↰⪸A50∲⫓⫖↰⪸73B))⫡⨏(((⫖↰⪸7A1⨸⪁⫖↰⪸B69)⨳⩥⨓(⫖↰⪸2623+⫖↰⪸114A))⪠⩆⊳)","cot":[{"info":"⫖↰⪸2144⫸⊐⫖↰⪸B90=⫖↰⪸3A17","layer":3},{"info":"⫖↰⪸1395⊭↱⫖↰⪸21A0=⫖↰⪸1817","layer":3},{"info":"⫖↰⪸3A17⪘⫢⫖↰⪸1817=⫖↰⪸774A","layer":2},{"info":"⫖↰⪸A50∲⫓⫖↰⪸73B=⫖↰⪸0","layer":3},{"info":"⇁⨣⪵⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸774A+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸7A1⨸⪁⫖↰⪸B69=⫖↰⪸3298","layer":3},{"info":"⫖↰⪸2623+⫖↰⪸114A=⫖↰⪸3771","layer":3},{"info":"⫖↰⪸3298⨳⩥⨓⫖↰⪸3771=⫖↰⪸495","layer":2},{"info":"⫖↰⪸495⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫡⨏⫖↰⪸0=⫖↰⪸553","layer":0}]}
{"id":712,"expression_no_base_symbol":"(($1079$⫡⨏$8979$)⊭↱($3083$⨸⪁$5045$)↪⪝)≎⊠⪸($1115$⨪↰⇹$2129$⨐⩸⫘$3634$⨪↰⇹$5731$)⩷∴($7296$≭$2220$⋷$1009$⊉≛↸$3582$)","expression":"((⫖↰⪸75B⫡⨏⫖↰⪸5243)⊭↱(⫖↰⪸194B⨸⪁⫖↰⪸2B05)↪⪝)≎⊠⪸(⫖↰⪸78B⨪↰⇹⫖↰⪸1295⨐⩸⫘⫖↰⪸212A⨪↰⇹⫖↰⪸3397)⩷∴(⫖↰⪸4280≭⫖↰⪸1350⋷⫖↰⪸701⊉≛↸⫖↰⪸20A6)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5488,"operation_count":12,"complexity_ratio":457.3333333333333,"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":1079,"base":12},"right_expr":{"type":"numeric_atoms","value":8979,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3083,"base":12},"right_expr":{"type":"numeric_atoms","value":5045,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1115,"base":12},"right_expr":{"type":"numeric_atoms","value":2129,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3634,"base":12},"right_expr":{"type":"numeric_atoms","value":5731,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7296,"base":12},"right_expr":{"type":"numeric_atoms","value":2220,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":3582,"base":12}}}}},"used_operators":["bJkvcejdHO","l07mrZUIn9","COABgblf1C","QMFrweE19q","g55IO6H4Gj","9FxExcQeMw","fu6greOZ01","tmPS8pqC7x","23Mk6UjR3U","rxpJgHHUmx","DZ8iAZOCBD"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"number node, value=8979","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=8979, 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=24136","layer":3},{"info":"number node, value=3083","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=5045, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16256","layer":3},{"info":"compute binary expreesion, left_input=24136, right_input=16256, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-15755","layer":2},{"info":"compute unary expreesion, input=-15755, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-963922410","layer":1},{"info":"number node, value=1115","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2129, 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=1115","layer":3},{"info":"number node, value=3634","layer":4},{"info":"number node, value=5731","layer":4},{"info":"compute binary expreesion, left_input=3634, right_input=5731, 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=3634","layer":3},{"info":"compute binary expreesion, left_input=1115, right_input=3634, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=7296","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=7296, right_input=2220, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1009","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3582, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2018, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-963922410, 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":"((⫖↰⪸75B⫡⨏⫖↰⪸5243)⊭↱(⫖↰⪸194B⨸⪁⫖↰⪸2B05)↪⪝)≎⊠⪸(⫖↰⪸78B⨪↰⇹⫖↰⪸1295⨐⩸⫘⫖↰⪸212A⨪↰⇹⫖↰⪸3397)⩷∴(⫖↰⪸4280≭⫖↰⪸1350⋷⫖↰⪸701⊉≛↸⫖↰⪸20A6)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸75B⫡⨏⫖↰⪸5243)⊭↱(⫖↰⪸194B⨸⪁⫖↰⪸2B05)↪⪝)≎⊠⪸(⫖↰⪸78B⨪↰⇹⫖↰⪸1295⨐⩸⫘⫖↰⪸212A⨪↰⇹⫖↰⪸3397)⩷∴(⫖↰⪸4280≭⫖↰⪸1350⋷⫖↰⪸701⊉≛↸⫖↰⪸20A6)","cot":[{"info":"⫖↰⪸75B⫡⨏⫖↰⪸5243=⫖↰⪸11B74","layer":3},{"info":"⫖↰⪸194B⨸⪁⫖↰⪸2B05=⫖↰⪸94A8","layer":3},{"info":"⫖↰⪸11B74⊭↱⫖↰⪸94A8=⫖↰⪸-914B","layer":2},{"info":"⫖↰⪸-914B↪⪝=⫖↰⪸-22A995576","layer":1},{"info":"⫖↰⪸78B⨪↰⇹⫖↰⪸1295=⫖↰⪸78B","layer":3},{"info":"⫖↰⪸212A⨪↰⇹⫖↰⪸3397=⫖↰⪸212A","layer":3},{"info":"⫖↰⪸78B⨐⩸⫘⫖↰⪸212A=NaN","layer":2},{"info":"⫖↰⪸4280≭⫖↰⪸1350=NaN","layer":3},{"info":"⫖↰⪸701⊉≛↸⫖↰⪸20A6=⫖↰⪸1202","layer":3},{"info":"NaN⋷⫖↰⪸1202=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸-22A995576≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":713,"expression_no_base_symbol":"(+⊝⨔$7214$)⨪↰⇹(⪝⪂⫅$1405$)∑⇟⊟(⊥($1151$↬$5202$))⋫","expression":"(+⊝⨔⫖↰⪸4212)⨪↰⇹(⪝⪂⫅⫖↰⪸991)∑⇟⊟(⊥(⫖↰⪸7BB↬⫖↰⪸3016))⋫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1716,"operation_count":7,"complexity_ratio":245.14285714285714,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7214,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1405,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1151,"base":12},"right_expr":{"type":"numeric_atoms","value":5202,"base":12}}}}},"used_operators":["JL8yIekQnl","U7g4x0WXJJ","tmPS8pqC7x","DhbWaqg5eL","XTarYq4gQB","Q3PJZHRvZv","B5M0gjZbta"],"dependent_operators":["tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","fu6greOZ01","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7214","layer":4},{"info":"compute unary expreesion, input=7214, 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=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-206535","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-206535, 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=1522","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=5202","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=5202, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸4212)⨪↰⇹(⪝⪂⫅⫖↰⪸991)∑⇟⊟(⊥(⫖↰⪸7BB↬⫖↰⪸3016))⋫=NaN","reverse_text":"NaN=(+⊝⨔⫖↰⪸4212)⨪↰⇹(⪝⪂⫅⫖↰⪸991)∑⇟⊟(⊥(⫖↰⪸7BB↬⫖↰⪸3016))⋫","cot":[{"info":"+⊝⨔⫖↰⪸4212=⫖↰⪸A6A","layer":3},{"info":"⪝⪂⫅⫖↰⪸991=⫖↰⪸-9B633","layer":3},{"info":"⫖↰⪸A6A⨪↰⇹⫖↰⪸-9B633=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸7BB↬⫖↰⪸3016=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⫖↰⪸A6A∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"((⫛⫱⨽($1226$⨳⩥⨓$1529$))/(+⊝⨔($5315$⊘)))⪄((⩦⩻⨪(↯⪼$3324$))%(($3681$+$1138$)⊪))","expression":"((⫛⫱⨽(⫖↰⪸862⨳⩥⨓⫖↰⪸A75))/(+⊝⨔(⫖↰⪸30AB⊘)))⪄((⩦⩻⨪(↯⪼⫖↰⪸1B10))%((⫖↰⪸2169+⫖↰⪸7AA)⊪))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1349,"operation_count":11,"complexity_ratio":122.63636363636364,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1226,"base":12},"right_expr":{"type":"numeric_atoms","value":1529,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5315,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3324,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3681,"base":12},"right_expr":{"type":"numeric_atoms","value":1138,"base":12}}}}},"used_operators":["SUmda5xLS4","XhwjNDsVaA","DlLNRPXxWL","nCS4ZIUYfx","DhbWaqg5eL","gu96TGCTMs","k8jYdgA6NY","2td37pGCOC","8jW3W4yZS5","zVYPLywUTj","W4YGzv6Whe"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1226","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1529, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=303","layer":3},{"info":"compute unary expreesion, input=303, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5315","layer":4},{"info":"compute unary expreesion, input=5315, 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 = 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 = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3324","layer":4},{"info":"compute unary expreesion, input=3324, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-21","layer":2},{"info":"number node, value=3681","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=1138, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4819","layer":3},{"info":"compute unary expreesion, input=4819, 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=-21, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫛⫱⨽(⫖↰⪸862⨳⩥⨓⫖↰⪸A75))/(+⊝⨔(⫖↰⪸30AB⊘)))⪄((⩦⩻⨪(↯⪼⫖↰⪸1B10))%((⫖↰⪸2169+⫖↰⪸7AA)⊪))=NaN","reverse_text":"NaN=((⫛⫱⨽(⫖↰⪸862⨳⩥⨓⫖↰⪸A75))/(+⊝⨔(⫖↰⪸30AB⊘)))⪄((⩦⩻⨪(↯⪼⫖↰⪸1B10))%((⫖↰⪸2169+⫖↰⪸7AA)⊪))","cot":[{"info":"⫖↰⪸862⨳⩥⨓⫖↰⪸A75=⫖↰⪸213","layer":3},{"info":"⫛⫱⨽⫖↰⪸213=⫖↰⪸0","layer":2},{"info":"⫖↰⪸30AB⊘=⫖↰⪸0","layer":3},{"info":"+⊝⨔⫖↰⪸0=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸0/⫖↰⪸A6A=⫖↰⪸0","layer":1},{"info":"↯⪼⫖↰⪸1B10=⫖↰⪸-19","layer":3},{"info":"⩦⩻⨪⫖↰⪸-19=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸2169+⫖↰⪸7AA=⫖↰⪸2957","layer":3},{"info":"⫖↰⪸2957⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-19%⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸0⪄NaN=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"(⋗⩬⋾$6308$↬$2336$)∑⇟⊟($1026$≹⇙⪍$1133$↺($1160$⪠⩆⊳))⨐⩸⫘(⪲⇎($1776$⋝⋈⪟$2953$)∀⇚≩(⫓⪴$3354$))","expression":"(⋗⩬⋾⫖↰⪸3798↬⫖↰⪸1428)∑⇟⊟(⫖↰⪸716≹⇙⪍⫖↰⪸7A5↺(⫖↰⪸808⪠⩆⊳))⨐⩸⫘(⪲⇎(⫖↰⪸1040⋝⋈⪟⫖↰⪸1861)∀⇚≩(⫓⪴⫖↰⪸1B36))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15806,"operation_count":11,"complexity_ratio":1436.909090909091,"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":6308,"base":12},"right_expr":{"type":"numeric_atoms","value":2336,"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":1133,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1160,"base":12}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1776,"base":12},"right_expr":{"type":"numeric_atoms","value":2953,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3354,"base":12}}}}},"used_operators":["fu6greOZ01","U7g4x0WXJJ","DpFCA1CohY","B5M0gjZbta","7j4O788W3g","AHs5Up7iyr","JLbD19bQDL","XPYlsWDdGa","LRNGc0VcxI","2DDjHMKMc0","eLxqMNBOBk"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6308","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=6308, right_input=2336, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1133, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1776","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=2953, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1776","layer":3},{"info":"number node, value=3354","layer":4},{"info":"compute unary expreesion, input=3354, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11249316","layer":3},{"info":"compute binary expreesion, left_input=1776, right_input=11249316, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"(⋗⩬⋾⫖↰⪸3798↬⫖↰⪸1428)∑⇟⊟(⫖↰⪸716≹⇙⪍⫖↰⪸7A5↺(⫖↰⪸808⪠⩆⊳))⨐⩸⫘(⪲⇎(⫖↰⪸1040⋝⋈⪟⫖↰⪸1861)∀⇚≩(⫓⪴⫖↰⪸1B36))=NaN","reverse_text":"NaN=(⋗⩬⋾⫖↰⪸3798↬⫖↰⪸1428)∑⇟⊟(⫖↰⪸716≹⇙⪍⫖↰⪸7A5↺(⫖↰⪸808⪠⩆⊳))⨐⩸⫘(⪲⇎(⫖↰⪸1040⋝⋈⪟⫖↰⪸1861)∀⇚≩(⫓⪴⫖↰⪸1B36))","cot":[{"info":"⫖↰⪸3798↬⫖↰⪸1428=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫖↰⪸716≹⇙⪍⫖↰⪸7A5=NaN","layer":3},{"info":"⫖↰⪸808⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"NaN↺⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸1040⋝⋈⪟⫖↰⪸1861=⫖↰⪸1040","layer":3},{"info":"⫓⪴⫖↰⪸1B36=⫖↰⪸3926030","layer":3},{"info":"⫖↰⪸1040∀⇚≩⫖↰⪸3926030=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"($1050$⊴$1184$≎⊠⪸($2578$⨵⪆$1689$)/(⨑⩽⪐($8288$⊉≛↸$3254$)))∼(($2564$∀⇚≩$4264$⋥≓≎($2288$*$3150$))∼($1139$⋓$1013$/(⨰⫟⨤$7363$)))","expression":"(⫖↰⪸736⊴⫖↰⪸828≎⊠⪸(⫖↰⪸15AA⨵⪆⫖↰⪸B89)/(⨑⩽⪐(⫖↰⪸4968⊉≛↸⫖↰⪸1A72)))∼((⫖↰⪸1598∀⇚≩⫖↰⪸2574⋥≓≎(⫖↰⪸13A8*⫖↰⪸19A6))∼(⫖↰⪸7AB⋓⫖↰⪸705/(⨰⫟⨤⫖↰⪸4317)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50080,"operation_count":14,"complexity_ratio":3577.1428571428573,"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":1050,"base":12},"right_expr":{"type":"numeric_atoms","value":1184,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2578,"base":12},"right_expr":{"type":"numeric_atoms","value":1689,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8288,"base":12},"right_expr":{"type":"numeric_atoms","value":3254,"base":12}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2564,"base":12},"right_expr":{"type":"numeric_atoms","value":4264,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2288,"base":12},"right_expr":{"type":"numeric_atoms","value":3150,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1139,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7363,"base":12}}}}},"used_operators":["DyGG3AbaNP","XhwjNDsVaA","bJkvcejdHO","Nsiff2A1zJ","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","Qy55tPpLXF","LRNGc0VcxI","9HNa5Wba9A","T2fj7uvVaJ","Tw270M8GLb"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1050","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1184, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=1689, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=8288","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=8288, right_input=3254, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16576","layer":3},{"info":"compute unary expreesion, input=16576, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-16303","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16303, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2564","layer":4},{"info":"number node, value=4264","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=4264, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2288","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=3150, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7207200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7207200, 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=1139","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1013, 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=7363","layer":4},{"info":"compute unary expreesion, input=7363, 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=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸736⊴⫖↰⪸828≎⊠⪸(⫖↰⪸15AA⨵⪆⫖↰⪸B89)/(⨑⩽⪐(⫖↰⪸4968⊉≛↸⫖↰⪸1A72)))∼((⫖↰⪸1598∀⇚≩⫖↰⪸2574⋥≓≎(⫖↰⪸13A8*⫖↰⪸19A6))∼(⫖↰⪸7AB⋓⫖↰⪸705/(⨰⫟⨤⫖↰⪸4317)))=NaN","reverse_text":"NaN=(⫖↰⪸736⊴⫖↰⪸828≎⊠⪸(⫖↰⪸15AA⨵⪆⫖↰⪸B89)/(⨑⩽⪐(⫖↰⪸4968⊉≛↸⫖↰⪸1A72)))∼((⫖↰⪸1598∀⇚≩⫖↰⪸2574⋥≓≎(⫖↰⪸13A8*⫖↰⪸19A6))∼(⫖↰⪸7AB⋓⫖↰⪸705/(⨰⫟⨤⫖↰⪸4317)))","cot":[{"info":"⫖↰⪸736⊴⫖↰⪸828=NaN","layer":3},{"info":"⫖↰⪸15AA⨵⪆⫖↰⪸B89=⫖↰⪸114","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸4968⊉≛↸⫖↰⪸1A72=⫖↰⪸9714","layer":3},{"info":"⨑⩽⪐⫖↰⪸9714=⫖↰⪸-9527","layer":2},{"info":"NaN/⫖↰⪸-9527=NaN","layer":1},{"info":"⫖↰⪸1598∀⇚≩⫖↰⪸2574=NaN","layer":3},{"info":"⫖↰⪸13A8*⫖↰⪸19A6=⫖↰⪸24B6A00","layer":3},{"info":"NaN⋥≓≎⫖↰⪸24B6A00=⫖↰⪸57","layer":2},{"info":"⫖↰⪸7AB⋓⫖↰⪸705=⫖↰⪸0","layer":3},{"info":"⨰⫟⨤⫖↰⪸4317=NaN","layer":3},{"info":"⫖↰⪸0/NaN=NaN","layer":2},{"info":"⫖↰⪸57∼NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"($2388$⩨$3094$∲⫓$5205$⪢$2251$)∀⇚≩(($1331$⪨≂$2960$)⩠)⊪","expression":"(⫖↰⪸1470⩨⫖↰⪸195A∲⫓⫖↰⪸3019⪢⫖↰⪸1377)∀⇚≩((⫖↰⪸92B⪨≂⫖↰⪸1868)⩠)⊪","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3013,"operation_count":7,"complexity_ratio":430.42857142857144,"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":2388,"base":12},"right_expr":{"type":"numeric_atoms","value":3094,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5205,"base":12},"right_expr":{"type":"numeric_atoms","value":2251,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":2960,"base":12}}}}},"used_operators":["zVYPLywUTj","LRNGc0VcxI","i8ToyICDmI","2DlMacCsIx","dWAJyo7jo9","sJAwomhLZr","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2388","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=3094, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=5205","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=5205, right_input=2251, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2960, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3156","layer":3},{"info":"compute unary expreesion, input=-3156, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=12833","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12833, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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":"(⫖↰⪸1470⩨⫖↰⪸195A∲⫓⫖↰⪸3019⪢⫖↰⪸1377)∀⇚≩((⫖↰⪸92B⪨≂⫖↰⪸1868)⩠)⊪=NaN","reverse_text":"NaN=(⫖↰⪸1470⩨⫖↰⪸195A∲⫓⫖↰⪸3019⪢⫖↰⪸1377)∀⇚≩((⫖↰⪸92B⪨≂⫖↰⪸1868)⩠)⊪","cot":[{"info":"⫖↰⪸1470⩨⫖↰⪸195A=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸3019⪢⫖↰⪸1377=NaN","layer":3},{"info":"⫖↰⪸-3∲⫓NaN=NaN","layer":2},{"info":"⫖↰⪸92B⪨≂⫖↰⪸1868=⫖↰⪸-19B0","layer":3},{"info":"⫖↰⪸-19B0⩠=⫖↰⪸7515","layer":2},{"info":"NaN∀⇚≩⫖↰⪸7515=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":718,"expression_no_base_symbol":"(($2069$⨽$4575$⪐)⇋≉)↙($3889$∼$4650$⪘⫢(+⊝⨔$1758$)⊉≛↸(⫓⪴$6757$)⪮%⊝($8849$⫩⊇))","expression":"((⫖↰⪸1245⨽⫖↰⪸2793⪐)⇋≉)↙(⫖↰⪸2301∼⫖↰⪸2836⪘⫢(+⊝⨔⫖↰⪸1026)⊉≛↸(⫓⪴⫖↰⪸3AB1)⪮%⊝(⫖↰⪸5155⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8981,"operation_count":11,"complexity_ratio":816.4545454545455,"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":2069,"base":12},"right_expr":{"type":"numeric_atoms","value":4575,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3889,"base":12},"right_expr":{"type":"numeric_atoms","value":4650,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1758,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6757,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8849,"base":12}}}}},"used_operators":["yyfyN0ffXY","XIabStNQrY","eH2TOUuTDT","8HhzD0ZcuI","DZ8iAZOCBD","oacrs7FA3X","DyGG3AbaNP","DhbWaqg5eL","IWmyXbctLI","eLxqMNBOBk","BjRHVeLaeN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-15278362","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2069","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=2069, right_input=4575, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12854694","layer":3},{"info":"compute unary expreesion, input=-12854694, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-25709388","layer":2},{"info":"compute unary expreesion, input=-25709388, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-51418874","layer":1},{"info":"number node, value=3889","layer":4},{"info":"number node, value=4650","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=4650, 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=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=6757","layer":4},{"info":"compute unary expreesion, input=6757, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=45657049","layer":3},{"info":"number node, value=8849","layer":4},{"info":"compute unary expreesion, input=8849, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8807","layer":3},{"info":"compute binary expreesion, left_input=45657049, right_input=-8807, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=91314414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=91314414, 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=-51418874, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-51418874","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1245⨽⫖↰⪸2793⪐)⇋≉)↙(⫖↰⪸2301∼⫖↰⪸2836⪘⫢(+⊝⨔⫖↰⪸1026)⊉≛↸(⫓⪴⫖↰⪸3AB1)⪮%⊝(⫖↰⪸5155⫩⊇))=⫖↰⪸-15278362","reverse_text":"⫖↰⪸-15278362=((⫖↰⪸1245⨽⫖↰⪸2793⪐)⇋≉)↙(⫖↰⪸2301∼⫖↰⪸2836⪘⫢(+⊝⨔⫖↰⪸1026)⊉≛↸(⫓⪴⫖↰⪸3AB1)⪮%⊝(⫖↰⪸5155⫩⊇))","cot":[{"info":"⫖↰⪸1245⨽⫖↰⪸2793=⫖↰⪸-437B086","layer":3},{"info":"⫖↰⪸-437B086⪐=⫖↰⪸-873A150","layer":2},{"info":"⫖↰⪸-873A150⇋≉=⫖↰⪸-15278362","layer":1},{"info":"⫖↰⪸2301∼⫖↰⪸2836=NaN","layer":3},{"info":"+⊝⨔⫖↰⪸1026=⫖↰⪸A6A","layer":3},{"info":"NaN⪘⫢⫖↰⪸A6A=NaN","layer":2},{"info":"⫓⪴⫖↰⪸3AB1=⫖↰⪸13359AA1","layer":3},{"info":"⫖↰⪸5155⫩⊇=⫖↰⪸-511B","layer":3},{"info":"⫖↰⪸13359AA1⪮%⊝⫖↰⪸-511B=⫖↰⪸266B7BA6","layer":2},{"info":"NaN⊉≛↸⫖↰⪸266B7BA6=NaN","layer":1},{"info":"⫖↰⪸-15278362↙NaN=⫖↰⪸-15278362","layer":0}]}
{"id":719,"expression_no_base_symbol":"(($2775$⨪↰⇹$1579$)∼$6050$⊴$4538$⋥≓≎($3855$⨟⋌⩍$2920$⋷$8155$%$1085$))⋳⪒(-$1006$⊴$1030$)⨪↰⇹((∥⊫$6567$)↺($2443$⋷$1497$))","expression":"((⫖↰⪸1733⨪↰⇹⫖↰⪸AB7)∼⫖↰⪸3602⊴⫖↰⪸2762⋥≓≎(⫖↰⪸2293⨟⋌⩍⫖↰⪸1834⋷⫖↰⪸4877%⫖↰⪸765))⋳⪒(-⫖↰⪸6BA⊴⫖↰⪸71A)⨪↰⇹((∥⊫⫖↰⪸3973)↺(⫖↰⪸14B7⋷⫖↰⪸A49))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11468,"operation_count":14,"complexity_ratio":819.1428571428571,"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":2775,"base":12},"right_expr":{"type":"numeric_atoms","value":1579,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6050,"base":12},"right_expr":{"type":"numeric_atoms","value":4538,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3855,"base":12},"right_expr":{"type":"numeric_atoms","value":2920,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8155,"base":12},"right_expr":{"type":"numeric_atoms","value":1085,"base":12}}}},"right_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":1030,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6567,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2443,"base":12},"right_expr":{"type":"numeric_atoms","value":1497,"base":12}}}}},"used_operators":["12rbrZMWeM","Qy55tPpLXF","DyGG3AbaNP","tmPS8pqC7x","Nsiff2A1zJ","23Mk6UjR3U","rGHVDoGpnC","k8jYdgA6NY","t8gj7n24qd","7j4O788W3g","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2775","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=1579, 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=2775","layer":3},{"info":"number node, value=6050","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=6050, right_input=4538, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2775, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3855","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=2920, 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=8155","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=8155, right_input=1085, op_id = k8jYdgA6NY binary_op_definition= 'None', output=560","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=560, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1030, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=6567","layer":4},{"info":"compute unary expreesion, input=6567, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7435","layer":3},{"info":"number node, value=2443","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=1497, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=551","layer":3},{"info":"compute binary expreesion, left_input=7435, right_input=551, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=551","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=551, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1733⨪↰⇹⫖↰⪸AB7)∼⫖↰⪸3602⊴⫖↰⪸2762⋥≓≎(⫖↰⪸2293⨟⋌⩍⫖↰⪸1834⋷⫖↰⪸4877%⫖↰⪸765))⋳⪒(-⫖↰⪸6BA⊴⫖↰⪸71A)⨪↰⇹((∥⊫⫖↰⪸3973)↺(⫖↰⪸14B7⋷⫖↰⪸A49))=NaN","reverse_text":"NaN=((⫖↰⪸1733⨪↰⇹⫖↰⪸AB7)∼⫖↰⪸3602⊴⫖↰⪸2762⋥≓≎(⫖↰⪸2293⨟⋌⩍⫖↰⪸1834⋷⫖↰⪸4877%⫖↰⪸765))⋳⪒(-⫖↰⪸6BA⊴⫖↰⪸71A)⨪↰⇹((∥⊫⫖↰⪸3973)↺(⫖↰⪸14B7⋷⫖↰⪸A49))","cot":[{"info":"⫖↰⪸1733⨪↰⇹⫖↰⪸AB7=⫖↰⪸1733","layer":3},{"info":"⫖↰⪸3602⊴⫖↰⪸2762=NaN","layer":3},{"info":"⫖↰⪸1733∼NaN=NaN","layer":2},{"info":"⫖↰⪸2293⨟⋌⩍⫖↰⪸1834=NaN","layer":3},{"info":"⫖↰⪸4877%⫖↰⪸765=⫖↰⪸3A8","layer":3},{"info":"NaN⋷⫖↰⪸3A8=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸6BA⊴⫖↰⪸71A=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"∥⊫⫖↰⪸3973=⫖↰⪸4377","layer":3},{"info":"⫖↰⪸14B7⋷⫖↰⪸A49=⫖↰⪸39B","layer":3},{"info":"⫖↰⪸4377↺⫖↰⪸39B=⫖↰⪸39B","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸39B=NaN","layer":1},{"info":"⫖↰⪸57⋳⪒NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"(↽≂(⫓⪴$1369$∀⇚≩$1083$))⪘⫢($1207$⪛$5766$⪘⫢$5329$∀⇚≩$1813$)⇷(∥⊫($1072$⫡⨏$1746$))","expression":"(↽≂(⫓⪴⫖↰⪸961∀⇚≩⫖↰⪸763))⪘⫢(⫖↰⪸847⪛⫖↰⪸3406⪘⫢⫖↰⪸3101∀⇚≩⫖↰⪸1071)⇷(∥⊫(⫖↰⪸754⫡⨏⫖↰⪸1016))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":46930,"operation_count":10,"complexity_ratio":4693.0,"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":1369,"base":12},"right_expr":{"type":"numeric_atoms","value":1083,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1207,"base":12},"right_expr":{"type":"numeric_atoms","value":5766,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5329,"base":12},"right_expr":{"type":"numeric_atoms","value":1813,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1072,"base":12},"right_expr":{"type":"numeric_atoms","value":1746,"base":12}}}}},"used_operators":["oacrs7FA3X","u6S6b8DprG","eLxqMNBOBk","LRNGc0VcxI","mp7IySMOzn","uFcxV4UQCh","P8v4zCKN1o","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1369","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1083, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=1207","layer":4},{"info":"number node, value=5766","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=5766, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1207","layer":3},{"info":"number node, value=5329","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=5329, right_input=1813, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1207, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1746, 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=9635","layer":3},{"info":"compute unary expreesion, input=9635, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=10503","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10503, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=21006","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21006, 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":"(↽≂(⫓⪴⫖↰⪸961∀⇚≩⫖↰⪸763))⪘⫢(⫖↰⪸847⪛⫖↰⪸3406⪘⫢⫖↰⪸3101∀⇚≩⫖↰⪸1071)⇷(∥⊫(⫖↰⪸754⫡⨏⫖↰⪸1016))=NaN","reverse_text":"NaN=(↽≂(⫓⪴⫖↰⪸961∀⇚≩⫖↰⪸763))⪘⫢(⫖↰⪸847⪛⫖↰⪸3406⪘⫢⫖↰⪸3101∀⇚≩⫖↰⪸1071)⇷(∥⊫(⫖↰⪸754⫡⨏⫖↰⪸1016))","cot":[{"info":"⫖↰⪸961∀⇚≩⫖↰⪸763=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⫖↰⪸847⪛⫖↰⪸3406=⫖↰⪸847","layer":3},{"info":"⫖↰⪸3101∀⇚≩⫖↰⪸1071=NaN","layer":3},{"info":"⫖↰⪸847⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸754⫡⨏⫖↰⪸1016=⫖↰⪸56AB","layer":3},{"info":"∥⊫⫖↰⪸56AB=⫖↰⪸60B3","layer":2},{"info":"NaN⇷⫖↰⪸60B3=⫖↰⪸101A6","layer":1},{"info":"NaN⪘⫢⫖↰⪸101A6=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"((⨰⫟⨤$1278$)⪮%⊝$6271$⪮%⊝$3285$⋷($1034$⪘⫢$2186$/$1332$⊭↱$1153$))⪮%⊝(((∥⊫$1270$)+($1021$⩠))⋫)","expression":"((⨰⫟⨤⫖↰⪸8A6)⪮%⊝⫖↰⪸3767⪮%⊝⫖↰⪸1A99⋷(⫖↰⪸722⪘⫢⫖↰⪸1322/⫖↰⪸930⊭↱⫖↰⪸801))⪮%⊝(((∥⊫⫖↰⪸89A)+(⫖↰⪸711⩠))⋫)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6488,"operation_count":12,"complexity_ratio":540.6666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1278,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6271,"base":12},"right_expr":{"type":"numeric_atoms","value":3285,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1034,"base":12},"right_expr":{"type":"numeric_atoms","value":2186,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1332,"base":12},"right_expr":{"type":"numeric_atoms","value":1153,"base":12}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1270,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1021,"base":12}}}}},"used_operators":["IWmyXbctLI","23Mk6UjR3U","Tw270M8GLb","XhwjNDsVaA","oacrs7FA3X","COABgblf1C","JL8yIekQnl","W4YGzv6Whe","P8v4zCKN1o","sJAwomhLZr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"compute unary expreesion, input=1278, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6271","layer":4},{"info":"number node, value=3285","layer":4},{"info":"compute binary expreesion, left_input=6271, right_input=3285, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12858","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12858, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2186, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1944","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=1153, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-353","layer":3},{"info":"compute binary expreesion, left_input=1944, right_input=-353, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2138","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2138, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2138","layer":2},{"info":"compute unary expreesion, input=2138, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2138","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2138, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨰⫟⨤⫖↰⪸8A6)⪮%⊝⫖↰⪸3767⪮%⊝⫖↰⪸1A99⋷(⫖↰⪸722⪘⫢⫖↰⪸1322/⫖↰⪸930⊭↱⫖↰⪸801))⪮%⊝(((∥⊫⫖↰⪸89A)+(⫖↰⪸711⩠))⋫)=NaN","reverse_text":"NaN=((⨰⫟⨤⫖↰⪸8A6)⪮%⊝⫖↰⪸3767⪮%⊝⫖↰⪸1A99⋷(⫖↰⪸722⪘⫢⫖↰⪸1322/⫖↰⪸930⊭↱⫖↰⪸801))⪮%⊝(((∥⊫⫖↰⪸89A)+(⫖↰⪸711⩠))⋫)","cot":[{"info":"⨰⫟⨤⫖↰⪸8A6=NaN","layer":3},{"info":"⫖↰⪸3767⪮%⊝⫖↰⪸1A99=⫖↰⪸7536","layer":3},{"info":"NaN⪮%⊝⫖↰⪸7536=NaN","layer":2},{"info":"⫖↰⪸722⪘⫢⫖↰⪸1322=⫖↰⪸1160","layer":3},{"info":"⫖↰⪸930⊭↱⫖↰⪸801=⫖↰⪸-255","layer":3},{"info":"⫖↰⪸1160/⫖↰⪸-255=⫖↰⪸-6","layer":2},{"info":"NaN⋷⫖↰⪸-6=NaN","layer":1},{"info":"∥⊫⫖↰⪸89A=⫖↰⪸12A2","layer":3},{"info":"⫖↰⪸711⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸12A2+⫖↰⪸0=⫖↰⪸12A2","layer":2},{"info":"⫖↰⪸12A2⋫=⫖↰⪸12A2","layer":1},{"info":"NaN⪮%⊝⫖↰⪸12A2=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"($1291$⫡⨏$6256$⨵⪆($4606$⪨≂$1703$))⋓($5086$⨎$2964$⨎$1284$≹⇙⪍$5711$)⇋≉","expression":"(⫖↰⪸8B7⫡⨏⫖↰⪸3754⨵⪆(⫖↰⪸27BA⪨≂⫖↰⪸B9B))⋓(⫖↰⪸2B3A⨎⫖↰⪸1870⨎⫖↰⪸8B0≹⇙⪍⫖↰⪸337B)⇋≉","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":32,"operation_count":8,"complexity_ratio":4.0,"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":1291,"base":12},"right_expr":{"type":"numeric_atoms","value":6256,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4606,"base":12},"right_expr":{"type":"numeric_atoms","value":1703,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5086,"base":12},"right_expr":{"type":"numeric_atoms","value":2964,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1284,"base":12},"right_expr":{"type":"numeric_atoms","value":5711,"base":12}}}}},"used_operators":["XIabStNQrY","T2fj7uvVaJ","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","rJVOvQCfKK","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1291","layer":4},{"info":"number node, value=6256","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=6256, 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=19750","layer":3},{"info":"number node, value=4606","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=4606, right_input=1703, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5908","layer":3},{"info":"compute binary expreesion, left_input=19750, right_input=5908, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5086","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=2964, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2964","layer":3},{"info":"number node, value=1284","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=5711, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2964, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸8B7⫡⨏⫖↰⪸3754⨵⪆(⫖↰⪸27BA⪨≂⫖↰⪸B9B))⋓(⫖↰⪸2B3A⨎⫖↰⪸1870⨎⫖↰⪸8B0≹⇙⪍⫖↰⪸337B)⇋≉=NaN","reverse_text":"NaN=(⫖↰⪸8B7⫡⨏⫖↰⪸3754⨵⪆(⫖↰⪸27BA⪨≂⫖↰⪸B9B))⋓(⫖↰⪸2B3A⨎⫖↰⪸1870⨎⫖↰⪸8B0≹⇙⪍⫖↰⪸337B)⇋≉","cot":[{"info":"⫖↰⪸8B7⫡⨏⫖↰⪸3754=⫖↰⪸B51A","layer":3},{"info":"⫖↰⪸27BA⪨≂⫖↰⪸B9B=⫖↰⪸3504","layer":3},{"info":"⫖↰⪸B51A⨵⪆⫖↰⪸3504=⫖↰⪸114","layer":2},{"info":"⫖↰⪸2B3A⨎⫖↰⪸1870=⫖↰⪸1870","layer":3},{"info":"⫖↰⪸8B0≹⇙⪍⫖↰⪸337B=NaN","layer":3},{"info":"⫖↰⪸1870⨎NaN=NaN","layer":2},{"info":"⫖↰⪸114⋓NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"($2528$⋓$1506$)⪢($4147$⇷$4434$)⇼⇔∾(≦∁$1457$≧⫂∧$6338$)⨵⪆($1268$⨽$1386$⩨($1340$⊦⊿))⨎((↥$1894$)⋳⪒($5651$⪒$2994$))","expression":"(⫖↰⪸1568⋓⫖↰⪸A56)⪢(⫖↰⪸2497⇷⫖↰⪸2696)⇼⇔∾(≦∁⫖↰⪸A15≧⫂∧⫖↰⪸3802)⨵⪆(⫖↰⪸898⨽⫖↰⪸976⩨(⫖↰⪸938⊦⊿))⨎((↥⫖↰⪸111A)⋳⪒(⫖↰⪸332B⪒⫖↰⪸1896))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":68285,"operation_count":14,"complexity_ratio":4877.5,"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":2528,"base":12},"right_expr":{"type":"numeric_atoms","value":1506,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4147,"base":12},"right_expr":{"type":"numeric_atoms","value":4434,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1457,"base":12},"right_expr":{"type":"numeric_atoms","value":6338,"base":12}}}},"right_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":1386,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1340,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1894,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5651,"base":12},"right_expr":{"type":"numeric_atoms","value":2994,"base":12}}}}},"used_operators":["2DQ55sFlQl","tifHPKVTfV","dWAJyo7jo9","T2fj7uvVaJ","mp7IySMOzn","9ICcGScMcE","Ph9nP6C5qx","rJVOvQCfKK","2DlMacCsIx","8HhzD0ZcuI","14qkJME0vr","12rbrZMWeM","A8NUZmVepG","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2528","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=2528, right_input=1506, 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=4147","layer":4},{"info":"number node, value=4434","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=4434, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8868","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8868, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1457","layer":4},{"info":"number node, value=6338","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=6338, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5865","layer":3},{"info":"compute unary expreesion, input=5865, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5865","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5865, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1386, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4826316","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4099","layer":3},{"info":"compute binary expreesion, left_input=-4826316, right_input=-4099, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1894","layer":4},{"info":"compute unary expreesion, input=1894, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"number node, value=5651","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=5651, right_input=2994, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8645","layer":3},{"info":"compute binary expreesion, left_input=7, right_input=-8645, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8372","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8372, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8372","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8372, 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":"(⫖↰⪸1568⋓⫖↰⪸A56)⪢(⫖↰⪸2497⇷⫖↰⪸2696)⇼⇔∾(≦∁⫖↰⪸A15≧⫂∧⫖↰⪸3802)⨵⪆(⫖↰⪸898⨽⫖↰⪸976⩨(⫖↰⪸938⊦⊿))⨎((↥⫖↰⪸111A)⋳⪒(⫖↰⪸332B⪒⫖↰⪸1896))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1568⋓⫖↰⪸A56)⪢(⫖↰⪸2497⇷⫖↰⪸2696)⇼⇔∾(≦∁⫖↰⪸A15≧⫂∧⫖↰⪸3802)⨵⪆(⫖↰⪸898⨽⫖↰⪸976⩨(⫖↰⪸938⊦⊿))⨎((↥⫖↰⪸111A)⋳⪒(⫖↰⪸332B⪒⫖↰⪸1896))","cot":[{"info":"⫖↰⪸1568⋓⫖↰⪸A56=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2497⇷⫖↰⪸2696=⫖↰⪸5170","layer":3},{"info":"⫖↰⪸0⪢⫖↰⪸5170=NaN","layer":2},{"info":"⫖↰⪸A15≧⫂∧⫖↰⪸3802=⫖↰⪸3489","layer":3},{"info":"≦∁⫖↰⪸3489=⫖↰⪸3489","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸3489=NaN","layer":1},{"info":"⫖↰⪸898⨽⫖↰⪸976=⫖↰⪸-1749010","layer":3},{"info":"⫖↰⪸938⊦⊿=⫖↰⪸-2457","layer":3},{"info":"⫖↰⪸-1749010⩨⫖↰⪸-2457=⫖↰⪸0","layer":2},{"info":"↥⫖↰⪸111A=⫖↰⪸7","layer":3},{"info":"⫖↰⪸332B⪒⫖↰⪸1896=⫖↰⪸-5005","layer":3},{"info":"⫖↰⪸7⋳⪒⫖↰⪸-5005=⫖↰⪸4A18","layer":2},{"info":"⫖↰⪸0⨎⫖↰⪸4A18=⫖↰⪸4A18","layer":1},{"info":"NaN⨵⪆⫖↰⪸4A18=⫖↰⪸114","layer":0}]}
{"id":724,"expression_no_base_symbol":"((⪝⪂⫅$1245$)⨵⪆$4290$⨟⋌⩍$3046$⋷(⊙↵-$1035$)⩨$3189$⋥≓≎$2683$)∀⇚≩((($1546$⨵⪆$5639$)≣⋋)⋥≓≎(⇁⨣⪵$2785$)⪢($5220$⪨≂$2615$))","expression":"((⪝⪂⫅⫖↰⪸879)⨵⪆⫖↰⪸2596⨟⋌⩍⫖↰⪸191A⋷(⊙↵-⫖↰⪸723)⩨⫖↰⪸1A19⋥≓≎⫖↰⪸1677)∀⇚≩(((⫖↰⪸A8A⨵⪆⫖↰⪸331B)≣⋋)⋥≓≎(⇁⨣⪵⫖↰⪸1741)⪢(⫖↰⪸3030⪨≂⫖↰⪸161B))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11178,"operation_count":14,"complexity_ratio":798.4285714285714,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1245,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4290,"base":12},"right_expr":{"type":"numeric_atoms","value":3046,"base":12}}},"right_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":3189,"base":12},"right_expr":{"type":"numeric_atoms","value":2683,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1546,"base":12},"right_expr":{"type":"numeric_atoms","value":5639,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2785,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5220,"base":12},"right_expr":{"type":"numeric_atoms","value":2615,"base":12}}}}},"used_operators":["LRNGc0VcxI","23Mk6UjR3U","2DQ55sFlQl","XTarYq4gQB","rGHVDoGpnC","2DlMacCsIx","oWn0xqSxBt","Qy55tPpLXF","Tcnh7f0tEr","dWAJyo7jo9","inkyxCbjAn","sdazOOVcIp"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-183015","layer":3},{"info":"number node, value=4290","layer":4},{"info":"number node, value=3046","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=3046, 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=-183015, 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=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3189","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=2683, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2210","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2210, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6630","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=6630, 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=1546","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=5639, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=2785","layer":4},{"info":"compute unary expreesion, input=2785, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=5220","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=5220, right_input=2615, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5312","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5312, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-320, 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":"((⪝⪂⫅⫖↰⪸879)⨵⪆⫖↰⪸2596⨟⋌⩍⫖↰⪸191A⋷(⊙↵-⫖↰⪸723)⩨⫖↰⪸1A19⋥≓≎⫖↰⪸1677)∀⇚≩(((⫖↰⪸A8A⨵⪆⫖↰⪸331B)≣⋋)⋥≓≎(⇁⨣⪵⫖↰⪸1741)⪢(⫖↰⪸3030⪨≂⫖↰⪸161B))=NaN","reverse_text":"NaN=((⪝⪂⫅⫖↰⪸879)⨵⪆⫖↰⪸2596⨟⋌⩍⫖↰⪸191A⋷(⊙↵-⫖↰⪸723)⩨⫖↰⪸1A19⋥≓≎⫖↰⪸1677)∀⇚≩(((⫖↰⪸A8A⨵⪆⫖↰⪸331B)≣⋋)⋥≓≎(⇁⨣⪵⫖↰⪸1741)⪢(⫖↰⪸3030⪨≂⫖↰⪸161B))","cot":[{"info":"⪝⪂⫅⫖↰⪸879=⫖↰⪸-89AB3","layer":3},{"info":"⫖↰⪸2596⨟⋌⩍⫖↰⪸191A=NaN","layer":3},{"info":"⫖↰⪸-89AB3⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⊙↵-⫖↰⪸723=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1A19⋥≓≎⫖↰⪸1677=⫖↰⪸1342","layer":3},{"info":"⫖↰⪸-1⩨⫖↰⪸1342=⫖↰⪸3A06","layer":2},{"info":"⫖↰⪸114⋷⫖↰⪸3A06=⫖↰⪸-228","layer":1},{"info":"⫖↰⪸A8A⨵⪆⫖↰⪸331B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114≣⋋=⫖↰⪸0","layer":2},{"info":"⇁⨣⪵⫖↰⪸1741=NaN","layer":3},{"info":"⫖↰⪸3030⪨≂⫖↰⪸161B=⫖↰⪸30A8","layer":3},{"info":"NaN⪢⫖↰⪸30A8=NaN","layer":2},{"info":"⫖↰⪸0⋥≓≎NaN=NaN","layer":1},{"info":"⫖↰⪸-228∀⇚≩NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"(+⊝⨔((⨞⊢$1106$)⫥∨⫟(≉$1815$)))⨰((⫓⪴($2868$⩷∴$5876$))⋥≓≎($1134$⨓$2024$⊘))","expression":"(+⊝⨔((⨞⊢⫖↰⪸782)⫥∨⫟(≉⫖↰⪸1073)))⨰((⫓⪴(⫖↰⪸17B0⩷∴⫖↰⪸3498))⋥≓≎(⫖↰⪸7A6⨓⫖↰⪸1208⊘))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8293,"operation_count":10,"complexity_ratio":829.3,"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":1106,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1815,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2868,"base":12},"right_expr":{"type":"numeric_atoms","value":5876,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1134,"base":12},"right_expr":{"type":"numeric_atoms","value":2024,"base":12}}}}},"used_operators":["eewbuw0ToL","DhbWaqg5eL","KYD54nUTWz","xUOZtlo3hN","e1ybzncUwg","Qy55tPpLXF","eLxqMNBOBk","9FxExcQeMw","gu96TGCTMs","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸10300A51","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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1280","layer":3},{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2346","layer":3},{"info":"compute binary expreesion, left_input=-1280, right_input=2346, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"number node, value=2868","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=5876, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6048","layer":3},{"info":"compute unary expreesion, input=-6048, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=36578304","layer":2},{"info":"number node, value=1134","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=2024, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2027","layer":3},{"info":"compute unary expreesion, input=-2027, 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=36578304, right_input=-1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-36578273","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-36578273, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=36579805","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔((⨞⊢⫖↰⪸782)⫥∨⫟(≉⫖↰⪸1073)))⨰((⫓⪴(⫖↰⪸17B0⩷∴⫖↰⪸3498))⋥≓≎(⫖↰⪸7A6⨓⫖↰⪸1208⊘))=⫖↰⪸10300A51","reverse_text":"⫖↰⪸10300A51=(+⊝⨔((⨞⊢⫖↰⪸782)⫥∨⫟(≉⫖↰⪸1073)))⨰((⫓⪴(⫖↰⪸17B0⩷∴⫖↰⪸3498))⋥≓≎(⫖↰⪸7A6⨓⫖↰⪸1208⊘))","cot":[{"info":"⨞⊢⫖↰⪸782=⫖↰⪸-8A8","layer":3},{"info":"≉⫖↰⪸1073=⫖↰⪸1436","layer":3},{"info":"⫖↰⪸-8A8⫥∨⫟⫖↰⪸1436=NaN","layer":2},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸17B0⩷∴⫖↰⪸3498=⫖↰⪸-3600","layer":3},{"info":"⫓⪴⫖↰⪸-3600=⫖↰⪸10300000","layer":2},{"info":"⫖↰⪸7A6⨓⫖↰⪸1208=⫖↰⪸-120B","layer":3},{"info":"⫖↰⪸-120B⊘=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸10300000⋥≓≎⫖↰⪸-1=⫖↰⪸-102BBB95","layer":1},{"info":"⫖↰⪸A6A⨰⫖↰⪸-102BBB95=⫖↰⪸10300A51","layer":0}]}
{"id":726,"expression_no_base_symbol":"(($6671$≣⋋)⩷∴($1360$↪⪝)⪨≂(⨑⩽⪐$4818$⨽$2046$))⨸⪁(⊙↵-(⨞⊢$1821$))≹⇙⪍($1397$≎⊠⪸$3370$⨳⩥⨓($3616$↺$1230$))","expression":"((⫖↰⪸3A3B≣⋋)⩷∴(⫖↰⪸954↪⪝)⪨≂(⨑⩽⪐⫖↰⪸2956⨽⫖↰⪸1226))⨸⪁(⊙↵-(⨞⊢⫖↰⪸1079))≹⇙⪍(⫖↰⪸985≎⊠⪸⫖↰⪸1B4A⨳⩥⨓(⫖↰⪸2114↺⫖↰⪸866))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8367,"operation_count":13,"complexity_ratio":643.6153846153846,"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":6671,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1360,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4818,"base":12},"right_expr":{"type":"numeric_atoms","value":2046,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1821,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1397,"base":12},"right_expr":{"type":"numeric_atoms","value":3370,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3616,"base":12},"right_expr":{"type":"numeric_atoms","value":1230,"base":12}}}}},"used_operators":["g55IO6H4Gj","sdazOOVcIp","9FxExcQeMw","Tcnh7f0tEr","l07mrZUIn9","AF7qkfDlqP","8HhzD0ZcuI","AHs5Up7iyr","oWn0xqSxBt","xUOZtlo3hN","nCS4ZIUYfx","bJkvcejdHO","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6671","layer":4},{"info":"compute unary expreesion, input=6671, 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=1360","layer":4},{"info":"compute unary expreesion, input=1360, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=83207520","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=83207520, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-166415072","layer":2},{"info":"number node, value=4818","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=2046, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-69644196","layer":3},{"info":"compute unary expreesion, input=-69644196, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=139289181","layer":2},{"info":"compute binary expreesion, left_input=-166415072, right_input=139289181, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-611408404","layer":1},{"info":"number node, value=1821","layer":4},{"info":"compute unary expreesion, input=1821, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1995","layer":3},{"info":"compute unary expreesion, input=-1995, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1397","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=3370, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=361350","layer":3},{"info":"number node, value=3616","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=1230, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1230","layer":3},{"info":"compute binary expreesion, left_input=361350, right_input=1230, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-360120","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-360120, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-611408404, 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":"((⫖↰⪸3A3B≣⋋)⩷∴(⫖↰⪸954↪⪝)⪨≂(⨑⩽⪐⫖↰⪸2956⨽⫖↰⪸1226))⨸⪁(⊙↵-(⨞⊢⫖↰⪸1079))≹⇙⪍(⫖↰⪸985≎⊠⪸⫖↰⪸1B4A⨳⩥⨓(⫖↰⪸2114↺⫖↰⪸866))=NaN","reverse_text":"NaN=((⫖↰⪸3A3B≣⋋)⩷∴(⫖↰⪸954↪⪝)⪨≂(⨑⩽⪐⫖↰⪸2956⨽⫖↰⪸1226))⨸⪁(⊙↵-(⨞⊢⫖↰⪸1079))≹⇙⪍(⫖↰⪸985≎⊠⪸⫖↰⪸1B4A⨳⩥⨓(⫖↰⪸2114↺⫖↰⪸866))","cot":[{"info":"⫖↰⪸3A3B≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸954↪⪝=⫖↰⪸23A48600","layer":3},{"info":"⫖↰⪸0⩷∴⫖↰⪸23A48600=⫖↰⪸-47895028","layer":2},{"info":"⫖↰⪸2956⨽⫖↰⪸1226=⫖↰⪸-1B3A7430","layer":3},{"info":"⨑⩽⪐⫖↰⪸-1B3A7430=⫖↰⪸3A7931B9","layer":2},{"info":"⫖↰⪸-47895028⪨≂⫖↰⪸3A7931B9=⫖↰⪸-150914384","layer":1},{"info":"⨞⊢⫖↰⪸1079=⫖↰⪸-11A3","layer":3},{"info":"⊙↵-⫖↰⪸-11A3=⫖↰⪸144","layer":2},{"info":"⫖↰⪸985≎⊠⪸⫖↰⪸1B4A=⫖↰⪸155146","layer":3},{"info":"⫖↰⪸2114↺⫖↰⪸866=⫖↰⪸866","layer":3},{"info":"⫖↰⪸155146⨳⩥⨓⫖↰⪸866=⫖↰⪸-1544A0","layer":2},{"info":"⫖↰⪸144≹⇙⪍⫖↰⪸-1544A0=NaN","layer":1},{"info":"⫖↰⪸-150914384⨸⪁NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"⩦⩻⨪((≦∁$2791$)⨽($3315$⋷$1558$))∼(⪝⪂⫅$1097$⪮%⊝$3586$)","expression":"⩦⩻⨪((≦∁⫖↰⪸1747)⨽(⫖↰⪸1B03⋷⫖↰⪸A9A))∼(⪝⪂⫅⫖↰⪸775⪮%⊝⫖↰⪸20AA)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":461147,"operation_count":7,"complexity_ratio":65878.14285714286,"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":2791,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3315,"base":12},"right_expr":{"type":"numeric_atoms","value":1558,"base":12}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1097,"base":12},"right_expr":{"type":"numeric_atoms","value":3586,"base":12}}}}},"used_operators":["2td37pGCOC","DyGG3AbaNP","8HhzD0ZcuI","9ICcGScMcE","23Mk6UjR3U","XTarYq4gQB","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2791","layer":4},{"info":"compute unary expreesion, input=2791, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2791","layer":3},{"info":"number node, value=3315","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=1558, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-199","layer":3},{"info":"compute binary expreesion, left_input=2791, right_input=-199, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23367132","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=3586","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=3586, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2510","layer":3},{"info":"compute unary expreesion, input=2510, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-368970","layer":2},{"info":"compute binary expreesion, left_input=-23367132, right_input=-368970, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((≦∁⫖↰⪸1747)⨽(⫖↰⪸1B03⋷⫖↰⪸A9A))∼(⪝⪂⫅⫖↰⪸775⪮%⊝⫖↰⪸20AA)=NaN","reverse_text":"NaN=⩦⩻⨪((≦∁⫖↰⪸1747)⨽(⫖↰⪸1B03⋷⫖↰⪸A9A))∼(⪝⪂⫅⫖↰⪸775⪮%⊝⫖↰⪸20AA)","cot":[{"info":"≦∁⫖↰⪸1747=⫖↰⪸1747","layer":3},{"info":"⫖↰⪸1B03⋷⫖↰⪸A9A=⫖↰⪸-147","layer":3},{"info":"⫖↰⪸1747⨽⫖↰⪸-147=⫖↰⪸-79AA790","layer":2},{"info":"⫖↰⪸775⪮%⊝⫖↰⪸20AA=⫖↰⪸1552","layer":3},{"info":"⪝⪂⫅⫖↰⪸1552=⫖↰⪸-159636","layer":2},{"info":"⫖↰⪸-79AA790∼⫖↰⪸-159636=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"⊥(($1243$≎⊠⪸$7267$)∑⇟⊟($2306$⪄$3699$)%$7222$∀⇚≩$5726$≎⊠⪸($5864$≋⫹))","expression":"⊥((⫖↰⪸877≎⊠⪸⫖↰⪸4257)∑⇟⊟(⫖↰⪸1402⪄⫖↰⪸2183)%⫖↰⪸421A∀⇚≩⫖↰⪸3392≎⊠⪸(⫖↰⪸3488≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50936,"operation_count":8,"complexity_ratio":6367.0,"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":1243,"base":12},"right_expr":{"type":"numeric_atoms","value":7267,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2306,"base":12},"right_expr":{"type":"numeric_atoms","value":3699,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7222,"base":12},"right_expr":{"type":"numeric_atoms","value":5726,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5864,"base":12}}}}},"used_operators":["Q3PJZHRvZv","k8jYdgA6NY","U7g4x0WXJJ","bJkvcejdHO","SUmda5xLS4","LRNGc0VcxI","N41Kp7NANJ"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"number node, value=7267","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=7267, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=321464","layer":3},{"info":"number node, value=2306","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=3699, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-352173","layer":3},{"info":"compute binary expreesion, left_input=321464, right_input=-352173, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7222","layer":4},{"info":"number node, value=5726","layer":4},{"info":"compute binary expreesion, left_input=7222, right_input=5726, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5864","layer":4},{"info":"compute unary expreesion, input=5864, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11728","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11728, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥((⫖↰⪸877≎⊠⪸⫖↰⪸4257)∑⇟⊟(⫖↰⪸1402⪄⫖↰⪸2183)%⫖↰⪸421A∀⇚≩⫖↰⪸3392≎⊠⪸(⫖↰⪸3488≋⫹))=NaN","reverse_text":"NaN=⊥((⫖↰⪸877≎⊠⪸⫖↰⪸4257)∑⇟⊟(⫖↰⪸1402⪄⫖↰⪸2183)%⫖↰⪸421A∀⇚≩⫖↰⪸3392≎⊠⪸(⫖↰⪸3488≋⫹))","cot":[{"info":"⫖↰⪸877≎⊠⪸⫖↰⪸4257=⫖↰⪸136048","layer":3},{"info":"⫖↰⪸1402⪄⫖↰⪸2183=⫖↰⪸-14B979","layer":3},{"info":"⫖↰⪸136048∑⇟⊟⫖↰⪸-14B979=NaN","layer":2},{"info":"⫖↰⪸421A∀⇚≩⫖↰⪸3392=NaN","layer":3},{"info":"⫖↰⪸3488≋⫹=⫖↰⪸-6954","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸-6954=⫖↰⪸57","layer":2},{"info":"NaN%⫖↰⪸57=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":729,"expression_no_base_symbol":"⨞⊢((⪝⪂⫅$2400$)↺(⨑⩽⪐$4579$))≎⊠⪸($2178$⨳⩥⨓$2081$)↬($3246$⇼⇔∾$3316$)","expression":"⨞⊢((⪝⪂⫅⫖↰⪸1480)↺(⨑⩽⪐⫖↰⪸2797))≎⊠⪸(⫖↰⪸1316⨳⩥⨓⫖↰⪸1255)↬(⫖↰⪸1A66⇼⇔∾⫖↰⪸1B04)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":879,"operation_count":8,"complexity_ratio":109.875,"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":2400,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4579,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2178,"base":12},"right_expr":{"type":"numeric_atoms","value":2081,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3246,"base":12},"right_expr":{"type":"numeric_atoms","value":3316,"base":12}}}}},"used_operators":["xUOZtlo3hN","bJkvcejdHO","7j4O788W3g","XTarYq4gQB","AF7qkfDlqP","B5M0gjZbta","nCS4ZIUYfx","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-459604","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2400","layer":4},{"info":"compute unary expreesion, input=2400, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-352800","layer":3},{"info":"number node, value=4579","layer":4},{"info":"compute unary expreesion, input=4579, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4306","layer":3},{"info":"compute binary expreesion, left_input=-352800, right_input=-4306, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4306","layer":2},{"info":"number node, value=2178","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=2081, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-97","layer":3},{"info":"number node, value=3246","layer":4},{"info":"number node, value=3316","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=3316, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=70","layer":3},{"info":"compute binary expreesion, left_input=-97, right_input=70, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4306, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1115254","layer":1},{"info":"compute unary expreesion, input=1115254, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1115428","layer":0}],"base":12,"result_base":12,"text":"⨞⊢((⪝⪂⫅⫖↰⪸1480)↺(⨑⩽⪐⫖↰⪸2797))≎⊠⪸(⫖↰⪸1316⨳⩥⨓⫖↰⪸1255)↬(⫖↰⪸1A66⇼⇔∾⫖↰⪸1B04)=⫖↰⪸-459604","reverse_text":"⫖↰⪸-459604=⨞⊢((⪝⪂⫅⫖↰⪸1480)↺(⨑⩽⪐⫖↰⪸2797))≎⊠⪸(⫖↰⪸1316⨳⩥⨓⫖↰⪸1255)↬(⫖↰⪸1A66⇼⇔∾⫖↰⪸1B04)","cot":[{"info":"⪝⪂⫅⫖↰⪸1480=⫖↰⪸-150200","layer":3},{"info":"⨑⩽⪐⫖↰⪸2797=⫖↰⪸-25AA","layer":3},{"info":"⫖↰⪸-150200↺⫖↰⪸-25AA=⫖↰⪸-25AA","layer":2},{"info":"⫖↰⪸1316⨳⩥⨓⫖↰⪸1255=⫖↰⪸-81","layer":3},{"info":"⫖↰⪸1A66⇼⇔∾⫖↰⪸1B04=⫖↰⪸5A","layer":3},{"info":"⫖↰⪸-81↬⫖↰⪸5A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-25AA≎⊠⪸⫖↰⪸0=⫖↰⪸45949A","layer":1},{"info":"⨞⊢⫖↰⪸45949A=⫖↰⪸-459604","layer":0}]}
{"id":730,"expression_no_base_symbol":"⨞⊢(($5262$⩠)⩨($7459$⊠≄⫣))↬($5227$≧⫂∧$2357$⫸⊐($1206$⪒$2652$))","expression":"⨞⊢((⫖↰⪸3066⩠)⩨(⫖↰⪸4397⊠≄⫣))↬(⫖↰⪸3037≧⫂∧⫖↰⪸1445⫸⊐(⫖↰⪸846⪒⫖↰⪸1650))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54,"operation_count":8,"complexity_ratio":6.75,"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":5262,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":7459,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5227,"base":12},"right_expr":{"type":"numeric_atoms","value":2357,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":2652,"base":12}}}}},"used_operators":["xUOZtlo3hN","B5M0gjZbta","2DlMacCsIx","sJAwomhLZr","DIvbN7qnHd","mqXw5SEYmG","Ph9nP6C5qx","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5262","layer":4},{"info":"compute unary expreesion, input=5262, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=7459","layer":4},{"info":"compute unary expreesion, input=7459, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=5227","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=2357, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1884","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=2652, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3858","layer":3},{"info":"compute binary expreesion, left_input=1884, right_input=-3858, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-7845","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7845, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨞⊢((⫖↰⪸3066⩠)⩨(⫖↰⪸4397⊠≄⫣))↬(⫖↰⪸3037≧⫂∧⫖↰⪸1445⫸⊐(⫖↰⪸846⪒⫖↰⪸1650))=NaN","reverse_text":"NaN=⨞⊢((⫖↰⪸3066⩠)⩨(⫖↰⪸4397⊠≄⫣))↬(⫖↰⪸3037≧⫂∧⫖↰⪸1445⫸⊐(⫖↰⪸846⪒⫖↰⪸1650))","cot":[{"info":"⫖↰⪸3066⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4397⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩨⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸3037≧⫂∧⫖↰⪸1445=⫖↰⪸1110","layer":3},{"info":"⫖↰⪸846⪒⫖↰⪸1650=⫖↰⪸-2296","layer":3},{"info":"⫖↰⪸1110⫸⊐⫖↰⪸-2296=⫖↰⪸-4659","layer":2},{"info":"NaN↬⫖↰⪸-4659=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"⨑⩽⪐(($3907$⪢$1237$↛⩡⫤)⪨≂$1622$↺$1883$∲⫓$3197$+⇶⊼$8144$)","expression":"⨑⩽⪐((⫖↰⪸2317⪢⫖↰⪸871↛⩡⫤)⪨≂⫖↰⪸B32↺⫖↰⪸110B∲⫓⫖↰⪸1A25+⇶⊼⫖↰⪸4868)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6624,"operation_count":7,"complexity_ratio":946.2857142857143,"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":3907,"base":12},"right_expr":{"type":"numeric_atoms","value":1237,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1622,"base":12},"right_expr":{"type":"numeric_atoms","value":1883,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3197,"base":12},"right_expr":{"type":"numeric_atoms","value":8144,"base":12}}}}},"used_operators":["AF7qkfDlqP","sdazOOVcIp","FU0Cs4j7VP","dWAJyo7jo9","i8ToyICDmI","7j4O788W3g","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3907","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=1237, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"number node, value=1622","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1883, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1883","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=8144","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=8144, 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=1883, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐((⫖↰⪸2317⪢⫖↰⪸871↛⩡⫤)⪨≂⫖↰⪸B32↺⫖↰⪸110B∲⫓⫖↰⪸1A25+⇶⊼⫖↰⪸4868)=NaN","reverse_text":"NaN=⨑⩽⪐((⫖↰⪸2317⪢⫖↰⪸871↛⩡⫤)⪨≂⫖↰⪸B32↺⫖↰⪸110B∲⫓⫖↰⪸1A25+⇶⊼⫖↰⪸4868)","cot":[{"info":"⫖↰⪸2317⪢⫖↰⪸871=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⫖↰⪸B32↺⫖↰⪸110B=⫖↰⪸110B","layer":3},{"info":"⫖↰⪸1A25+⇶⊼⫖↰⪸4868=NaN","layer":3},{"info":"⫖↰⪸110B∲⫓NaN=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"(($7852$⋓$3747$)⪛$1683$⨟⋌⩍$3720$)≹⇙⪍(($2405$⨳⩥⨓$6810$)⨐⩸⫘$4966$⩷∴$1832$)⪛(≦∁$1553$∀⇚≩$6387$⋓(⨰⫟⨤$1365$))","expression":"((⫖↰⪸4664⋓⫖↰⪸2203)⪛⫖↰⪸B83⨟⋌⩍⫖↰⪸21A0)≹⇙⪍((⫖↰⪸1485⨳⩥⨓⫖↰⪸3B36)⨐⩸⫘⫖↰⪸2A5A⩷∴⫖↰⪸1088)⪛(≦∁⫖↰⪸A95∀⇚≩⫖↰⪸3843⋓(⨰⫟⨤⫖↰⪸959))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15538,"operation_count":12,"complexity_ratio":1294.8333333333333,"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":7852,"base":12},"right_expr":{"type":"numeric_atoms","value":3747,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1683,"base":12},"right_expr":{"type":"numeric_atoms","value":3720,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2405,"base":12},"right_expr":{"type":"numeric_atoms","value":6810,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4966,"base":12},"right_expr":{"type":"numeric_atoms","value":1832,"base":12}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1553,"base":12},"right_expr":{"type":"numeric_atoms","value":6387,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1365,"base":12}}}}},"used_operators":["uFcxV4UQCh","AHs5Up7iyr","T2fj7uvVaJ","rGHVDoGpnC","fu6greOZ01","nCS4ZIUYfx","9FxExcQeMw","9ICcGScMcE","LRNGc0VcxI","Tw270M8GLb"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7852","layer":4},{"info":"number node, value=3747","layer":4},{"info":"compute binary expreesion, left_input=7852, right_input=3747, 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=1683","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=3720, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2405","layer":4},{"info":"number node, value=6810","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=6810, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4405","layer":3},{"info":"number node, value=4966","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=4966, right_input=1832, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6236","layer":3},{"info":"compute binary expreesion, left_input=4405, right_input=6236, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1553","layer":4},{"info":"number node, value=6387","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=6387, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4664⋓⫖↰⪸2203)⪛⫖↰⪸B83⨟⋌⩍⫖↰⪸21A0)≹⇙⪍((⫖↰⪸1485⨳⩥⨓⫖↰⪸3B36)⨐⩸⫘⫖↰⪸2A5A⩷∴⫖↰⪸1088)⪛(≦∁⫖↰⪸A95∀⇚≩⫖↰⪸3843⋓(⨰⫟⨤⫖↰⪸959))=NaN","reverse_text":"NaN=((⫖↰⪸4664⋓⫖↰⪸2203)⪛⫖↰⪸B83⨟⋌⩍⫖↰⪸21A0)≹⇙⪍((⫖↰⪸1485⨳⩥⨓⫖↰⪸3B36)⨐⩸⫘⫖↰⪸2A5A⩷∴⫖↰⪸1088)⪛(≦∁⫖↰⪸A95∀⇚≩⫖↰⪸3843⋓(⨰⫟⨤⫖↰⪸959))","cot":[{"info":"⫖↰⪸4664⋓⫖↰⪸2203=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B83⨟⋌⩍⫖↰⪸21A0=NaN","layer":3},{"info":"⫖↰⪸0⪛NaN=NaN","layer":2},{"info":"⫖↰⪸1485⨳⩥⨓⫖↰⪸3B36=⫖↰⪸2671","layer":3},{"info":"⫖↰⪸2A5A⩷∴⫖↰⪸1088=⫖↰⪸3738","layer":3},{"info":"⫖↰⪸2671⨐⩸⫘⫖↰⪸3738=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫖↰⪸A95∀⇚≩⫖↰⪸3843=NaN","layer":3},{"info":"⨰⫟⨤⫖↰⪸959=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"(($6329$∧)⫥∨⫟(⨑⩽⪐$8391$)⋥≓≎(($5566$⨎$3529$)∸))∀⇚≩((($3424$⫥∨⫟$2928$)⨰$1430$≹⇙⪍$3120$)∑⇟⊟($7132$⋝⋈⪟$2049$↙($6991$↺$4382$)))","expression":"((⫖↰⪸37B5∧)⫥∨⫟(⨑⩽⪐⫖↰⪸4A33)⋥≓≎((⫖↰⪸327A⨎⫖↰⪸2061)∸))∀⇚≩(((⫖↰⪸1B94⫥∨⫟⫖↰⪸1840)⨰⫖↰⪸9B2≹⇙⪍⫖↰⪸1980)∑⇟⊟(⫖↰⪸4164⋝⋈⪟⫖↰⪸1229↙(⫖↰⪸4067↺⫖↰⪸2652)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5365,"operation_count":14,"complexity_ratio":383.2142857142857,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6329,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8391,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5566,"base":12},"right_expr":{"type":"numeric_atoms","value":3529,"base":12}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3424,"base":12},"right_expr":{"type":"numeric_atoms","value":2928,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1430,"base":12},"right_expr":{"type":"numeric_atoms","value":3120,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7132,"base":12},"right_expr":{"type":"numeric_atoms","value":2049,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6991,"base":12},"right_expr":{"type":"numeric_atoms","value":4382,"base":12}}}}},"used_operators":["LRNGc0VcxI","Qy55tPpLXF","KYD54nUTWz","z63VuFQld9","AF7qkfDlqP","o20kRiQErp","rJVOvQCfKK","U7g4x0WXJJ","eewbuw0ToL","AHs5Up7iyr","yyfyN0ffXY","2DDjHMKMc0","7j4O788W3g"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6329","layer":4},{"info":"compute unary expreesion, input=6329, 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=8391","layer":4},{"info":"compute unary expreesion, input=8391, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8118, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5566","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=5566, right_input=3529, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3529","layer":3},{"info":"compute unary expreesion, input=3529, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3424","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=2928, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=3120, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=7132","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=7132, right_input=2049, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7132","layer":3},{"info":"number node, value=6991","layer":4},{"info":"number node, value=4382","layer":4},{"info":"compute binary expreesion, left_input=6991, right_input=4382, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4382","layer":3},{"info":"compute binary expreesion, left_input=7132, right_input=4382, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13146","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13146, 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=67, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸37B5∧)⫥∨⫟(⨑⩽⪐⫖↰⪸4A33)⋥≓≎((⫖↰⪸327A⨎⫖↰⪸2061)∸))∀⇚≩(((⫖↰⪸1B94⫥∨⫟⫖↰⪸1840)⨰⫖↰⪸9B2≹⇙⪍⫖↰⪸1980)∑⇟⊟(⫖↰⪸4164⋝⋈⪟⫖↰⪸1229↙(⫖↰⪸4067↺⫖↰⪸2652)))=NaN","reverse_text":"NaN=((⫖↰⪸37B5∧)⫥∨⫟(⨑⩽⪐⫖↰⪸4A33)⋥≓≎((⫖↰⪸327A⨎⫖↰⪸2061)∸))∀⇚≩(((⫖↰⪸1B94⫥∨⫟⫖↰⪸1840)⨰⫖↰⪸9B2≹⇙⪍⫖↰⪸1980)∑⇟⊟(⫖↰⪸4164⋝⋈⪟⫖↰⪸1229↙(⫖↰⪸4067↺⫖↰⪸2652)))","cot":[{"info":"⫖↰⪸37B5∧=NaN","layer":3},{"info":"⨑⩽⪐⫖↰⪸4A33=⫖↰⪸-4846","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸-4846=NaN","layer":2},{"info":"⫖↰⪸327A⨎⫖↰⪸2061=⫖↰⪸2061","layer":3},{"info":"⫖↰⪸2061∸=⫖↰⪸129","layer":2},{"info":"NaN⋥≓≎⫖↰⪸129=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1B94⫥∨⫟⫖↰⪸1840=NaN","layer":3},{"info":"⫖↰⪸9B2≹⇙⪍⫖↰⪸1980=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⫖↰⪸4164⋝⋈⪟⫖↰⪸1229=⫖↰⪸4164","layer":3},{"info":"⫖↰⪸4067↺⫖↰⪸2652=⫖↰⪸2652","layer":3},{"info":"⫖↰⪸4164↙⫖↰⪸2652=⫖↰⪸-7736","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸-7736=NaN","layer":1},{"info":"⫖↰⪸57∀⇚≩NaN=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"∥⊫(($6925$⩨$6147$↛⩡⫤)+(($3314$≫≃)↪⪝))","expression":"∥⊫((⫖↰⪸4011⩨⫖↰⪸3683↛⩡⫤)+((⫖↰⪸1B02≫≃)↪⪝))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":782,"operation_count":6,"complexity_ratio":130.33333333333334,"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":6925,"base":12},"right_expr":{"type":"numeric_atoms","value":6147,"base":12}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3314,"base":12}}}}},"used_operators":["P8v4zCKN1o","W4YGzv6Whe","FU0Cs4j7VP","2DlMacCsIx","l07mrZUIn9","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸11861934A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6925","layer":4},{"info":"number node, value=6147","layer":4},{"info":"compute binary expreesion, left_input=6925, right_input=6147, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"number node, value=3314","layer":4},{"info":"compute unary expreesion, input=3314, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8029","layer":3},{"info":"compute unary expreesion, input=8029, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=491230278","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=491230278, op_id = W4YGzv6Whe binary_op_definition= 'None', output=491230278","layer":1},{"info":"compute unary expreesion, input=491230278, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=491231146","layer":0}],"base":12,"result_base":12,"text":"∥⊫((⫖↰⪸4011⩨⫖↰⪸3683↛⩡⫤)+((⫖↰⪸1B02≫≃)↪⪝))=⫖↰⪸11861934A","reverse_text":"⫖↰⪸11861934A=∥⊫((⫖↰⪸4011⩨⫖↰⪸3683↛⩡⫤)+((⫖↰⪸1B02≫≃)↪⪝))","cot":[{"info":"⫖↰⪸4011⩨⫖↰⪸3683=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0↛⩡⫤=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B02≫≃=⫖↰⪸4791","layer":3},{"info":"⫖↰⪸4791↪⪝=⫖↰⪸118618946","layer":2},{"info":"⫖↰⪸0+⫖↰⪸118618946=⫖↰⪸118618946","layer":1},{"info":"∥⊫⫖↰⪸118618946=⫖↰⪸11861934A","layer":0}]}
{"id":735,"expression_no_base_symbol":"(⨰⫟⨤($3521$⊴$3984$↺($1692$∲⫓$1182$)))⊭↱(($1766$⩚⊴⇥$1067$)⪮%⊝($1377$⊦⊿)⪨≂$2439$∀⇚≩$3305$⨳⩥⨓$3473$⋝⋈⪟$1021$)","expression":"(⨰⫟⨤(⫖↰⪸2055⊴⫖↰⪸2380↺(⫖↰⪸B90∲⫓⫖↰⪸826)))⊭↱((⫖↰⪸1032⩚⊴⇥⫖↰⪸74B)⪮%⊝(⫖↰⪸969⊦⊿)⪨≂⫖↰⪸14B3∀⇚≩⫖↰⪸1AB5⨳⩥⨓⫖↰⪸2015⋝⋈⪟⫖↰⪸711)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21996,"operation_count":12,"complexity_ratio":1833.0,"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":3521,"base":12},"right_expr":{"type":"numeric_atoms","value":3984,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1692,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1766,"base":12},"right_expr":{"type":"numeric_atoms","value":1067,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1377,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2439,"base":12},"right_expr":{"type":"numeric_atoms","value":3305,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3473,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}}}}},"used_operators":["COABgblf1C","Tw270M8GLb","7j4O788W3g","Nsiff2A1zJ","i8ToyICDmI","sdazOOVcIp","IWmyXbctLI","NTOWxs364D","14qkJME0vr","nCS4ZIUYfx","LRNGc0VcxI","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3521","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=3984, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1692","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=1182, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"number node, value=1766","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=1067, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2954","layer":3},{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4210","layer":3},{"info":"compute binary expreesion, left_input=-2954, right_input=-4210, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5592","layer":2},{"info":"number node, value=2439","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=3305, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3473","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=1021, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3473, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5592, 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=4492662, 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":"(⨰⫟⨤(⫖↰⪸2055⊴⫖↰⪸2380↺(⫖↰⪸B90∲⫓⫖↰⪸826)))⊭↱((⫖↰⪸1032⩚⊴⇥⫖↰⪸74B)⪮%⊝(⫖↰⪸969⊦⊿)⪨≂⫖↰⪸14B3∀⇚≩⫖↰⪸1AB5⨳⩥⨓⫖↰⪸2015⋝⋈⪟⫖↰⪸711)=NaN","reverse_text":"NaN=(⨰⫟⨤(⫖↰⪸2055⊴⫖↰⪸2380↺(⫖↰⪸B90∲⫓⫖↰⪸826)))⊭↱((⫖↰⪸1032⩚⊴⇥⫖↰⪸74B)⪮%⊝(⫖↰⪸969⊦⊿)⪨≂⫖↰⪸14B3∀⇚≩⫖↰⪸1AB5⨳⩥⨓⫖↰⪸2015⋝⋈⪟⫖↰⪸711)","cot":[{"info":"⫖↰⪸2055⊴⫖↰⪸2380=NaN","layer":3},{"info":"⫖↰⪸B90∲⫓⫖↰⪸826=⫖↰⪸0","layer":3},{"info":"NaN↺⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⨰⫟⨤⫖↰⪸0=⫖↰⪸1607B06","layer":1},{"info":"⫖↰⪸1032⩚⊴⇥⫖↰⪸74B=⫖↰⪸-1862","layer":3},{"info":"⫖↰⪸969⊦⊿=⫖↰⪸-252A","layer":3},{"info":"⫖↰⪸-1862⪮%⊝⫖↰⪸-252A=⫖↰⪸-32A0","layer":2},{"info":"⫖↰⪸14B3∀⇚≩⫖↰⪸1AB5=NaN","layer":3},{"info":"⫖↰⪸2015⋝⋈⪟⫖↰⪸711=⫖↰⪸2015","layer":3},{"info":"NaN⨳⩥⨓⫖↰⪸2015=NaN","layer":2},{"info":"⫖↰⪸-32A0⪨≂NaN=NaN","layer":1},{"info":"⫖↰⪸1607B06⊭↱NaN=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"(($5817$∲⫓$1031$)≧⫂∧($2578$∲⫓$2925$)⪐)⫡⨏((⪲⇎$4745$)⨁⊸⫻)⪢(($5926$⫸⊐$2351$)⫸⊐$5681$⋝⋈⪟$1638$)","expression":"((⫖↰⪸3449∲⫓⫖↰⪸71B)≧⫂∧(⫖↰⪸15AA∲⫓⫖↰⪸1839)⪐)⫡⨏((⪲⇎⫖↰⪸28B5)⨁⊸⫻)⪢((⫖↰⪸351A⫸⊐⫖↰⪸143B)⫸⊐⫖↰⪸3355⋝⋈⪟⫖↰⪸B46)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22667,"operation_count":11,"complexity_ratio":2060.6363636363635,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5817,"base":12},"right_expr":{"type":"numeric_atoms","value":1031,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2578,"base":12},"right_expr":{"type":"numeric_atoms","value":2925,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4745,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5926,"base":12},"right_expr":{"type":"numeric_atoms","value":2351,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5681,"base":12},"right_expr":{"type":"numeric_atoms","value":1638,"base":12}}}}},"used_operators":["QMFrweE19q","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","glklzrTFfD","XPYlsWDdGa","mqXw5SEYmG","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5817","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=5817, right_input=1031, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=2925, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-946","layer":1},{"info":"number node, value=4745","layer":4},{"info":"compute unary expreesion, input=4745, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9490","layer":3},{"info":"compute unary expreesion, input=9490, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=9490","layer":2},{"info":"number node, value=5926","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=5926, right_input=2351, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9279","layer":3},{"info":"number node, value=5681","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=5681, right_input=1638, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5681","layer":3},{"info":"compute binary expreesion, left_input=9279, right_input=5681, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22599","layer":2},{"info":"compute binary expreesion, left_input=9490, right_input=22599, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=-946, 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":"((⫖↰⪸3449∲⫓⫖↰⪸71B)≧⫂∧(⫖↰⪸15AA∲⫓⫖↰⪸1839)⪐)⫡⨏((⪲⇎⫖↰⪸28B5)⨁⊸⫻)⪢((⫖↰⪸351A⫸⊐⫖↰⪸143B)⫸⊐⫖↰⪸3355⋝⋈⪟⫖↰⪸B46)=NaN","reverse_text":"NaN=((⫖↰⪸3449∲⫓⫖↰⪸71B)≧⫂∧(⫖↰⪸15AA∲⫓⫖↰⪸1839)⪐)⫡⨏((⪲⇎⫖↰⪸28B5)⨁⊸⫻)⪢((⫖↰⪸351A⫸⊐⫖↰⪸143B)⫸⊐⫖↰⪸3355⋝⋈⪟⫖↰⪸B46)","cot":[{"info":"⫖↰⪸3449∲⫓⫖↰⪸71B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸15AA∲⫓⫖↰⪸1839=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸-335⪐=⫖↰⪸-66A","layer":1},{"info":"⪲⇎⫖↰⪸28B5=⫖↰⪸55AA","layer":3},{"info":"⫖↰⪸55AA⨁⊸⫻=⫖↰⪸55AA","layer":2},{"info":"⫖↰⪸351A⫸⊐⫖↰⪸143B=⫖↰⪸5453","layer":3},{"info":"⫖↰⪸3355⋝⋈⪟⫖↰⪸B46=⫖↰⪸3355","layer":3},{"info":"⫖↰⪸5453⫸⊐⫖↰⪸3355=⫖↰⪸110B3","layer":2},{"info":"⫖↰⪸55AA⪢⫖↰⪸110B3=NaN","layer":1},{"info":"⫖↰⪸-66A⫡⨏NaN=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"(↽≂$1022$⨓$4841$⨓($6450$⫡⨏$1481$))⩨(($2906$%$1920$)+⇶⊼($1340$⊭↱$4310$)/$3668$⪢$2039$⪒$6130$⊭↱$1624$)","expression":"(↽≂⫖↰⪸712⨓⫖↰⪸2975⨓(⫖↰⪸3896⫡⨏⫖↰⪸A35))⩨((⫖↰⪸1822%⫖↰⪸1140)+⇶⊼(⫖↰⪸938⊭↱⫖↰⪸25B2)/⫖↰⪸2158⪢⫖↰⪸121B⪒⫖↰⪸366A⊭↱⫖↰⪸B34)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44719,"operation_count":12,"complexity_ratio":3726.5833333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1022,"base":12},"right_expr":{"type":"numeric_atoms","value":4841,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6450,"base":12},"right_expr":{"type":"numeric_atoms","value":1481,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2906,"base":12},"right_expr":{"type":"numeric_atoms","value":1920,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1340,"base":12},"right_expr":{"type":"numeric_atoms","value":4310,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3668,"base":12},"right_expr":{"type":"numeric_atoms","value":2039,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6130,"base":12},"right_expr":{"type":"numeric_atoms","value":1624,"base":12}}}}},"used_operators":["2DlMacCsIx","u6S6b8DprG","3ViojmjbAp","QMFrweE19q","XhwjNDsVaA","TpPTUOHfaN","k8jYdgA6NY","COABgblf1C","f6k1SAg4EE","dWAJyo7jo9"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=4841","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=4841, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4844","layer":3},{"info":"number node, value=6450","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=6450, right_input=1481, 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=35995","layer":3},{"info":"compute binary expreesion, left_input=-4844, right_input=35995, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-35998","layer":2},{"info":"compute unary expreesion, input=-35998, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=71996","layer":1},{"info":"number node, value=2906","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=1920, op_id = k8jYdgA6NY binary_op_definition= 'None', output=986","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=4310","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=4310, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5945","layer":3},{"info":"compute binary expreesion, left_input=986, right_input=5945, 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=3668","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=2039, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=6130","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=6130, right_input=1624, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9007","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9007, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=71996, right_input=nan, 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":"(↽≂⫖↰⪸712⨓⫖↰⪸2975⨓(⫖↰⪸3896⫡⨏⫖↰⪸A35))⩨((⫖↰⪸1822%⫖↰⪸1140)+⇶⊼(⫖↰⪸938⊭↱⫖↰⪸25B2)/⫖↰⪸2158⪢⫖↰⪸121B⪒⫖↰⪸366A⊭↱⫖↰⪸B34)=NaN","reverse_text":"NaN=(↽≂⫖↰⪸712⨓⫖↰⪸2975⨓(⫖↰⪸3896⫡⨏⫖↰⪸A35))⩨((⫖↰⪸1822%⫖↰⪸1140)+⇶⊼(⫖↰⪸938⊭↱⫖↰⪸25B2)/⫖↰⪸2158⪢⫖↰⪸121B⪒⫖↰⪸366A⊭↱⫖↰⪸B34)","cot":[{"info":"⫖↰⪸712⨓⫖↰⪸2975=⫖↰⪸-2978","layer":3},{"info":"⫖↰⪸3896⫡⨏⫖↰⪸A35=⫖↰⪸189B7","layer":3},{"info":"⫖↰⪸-2978⨓⫖↰⪸189B7=⫖↰⪸-189BA","layer":2},{"info":"↽≂⫖↰⪸-189BA=⫖↰⪸357B8","layer":1},{"info":"⫖↰⪸1822%⫖↰⪸1140=⫖↰⪸6A2","layer":3},{"info":"⫖↰⪸938⊭↱⫖↰⪸25B2=⫖↰⪸3535","layer":3},{"info":"⫖↰⪸6A2+⇶⊼⫖↰⪸3535=NaN","layer":2},{"info":"⫖↰⪸2158⪢⫖↰⪸121B=NaN","layer":3},{"info":"⫖↰⪸366A⊭↱⫖↰⪸B34=⫖↰⪸-5267","layer":3},{"info":"NaN⪒⫖↰⪸-5267=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⫖↰⪸357B8⩨NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(≤/((-$6271$)⨵⪆$6574$%$2618$))⪨≂($3169$⋳⪒$2607$)∼($1173$⨵⪆$2689$)⨰($3694$⋳⪒$3275$)⨓($7048$⨓$2490$)","expression":"(≤/((-⫖↰⪸3767)⨵⪆⫖↰⪸397A%⫖↰⪸1622))⪨≂(⫖↰⪸1A01⋳⪒⫖↰⪸1613)∼(⫖↰⪸819⨵⪆⫖↰⪸1681)⨰(⫖↰⪸217A⋳⪒⫖↰⪸1A8B)⨓(⫖↰⪸40B4⨓⫖↰⪸1536)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5753,"operation_count":12,"complexity_ratio":479.4166666666667,"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":6271,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6574,"base":12},"right_expr":{"type":"numeric_atoms","value":2618,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3169,"base":12},"right_expr":{"type":"numeric_atoms","value":2607,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1173,"base":12},"right_expr":{"type":"numeric_atoms","value":2689,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3694,"base":12},"right_expr":{"type":"numeric_atoms","value":3275,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7048,"base":12},"right_expr":{"type":"numeric_atoms","value":2490,"base":12}}}}},"used_operators":["sdazOOVcIp","eLAdDNolq6","2DQ55sFlQl","t8gj7n24qd","k8jYdgA6NY","eewbuw0ToL","DyGG3AbaNP","12rbrZMWeM","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸-2572","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6271","layer":4},{"info":"compute unary expreesion, input=6271, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6271","layer":3},{"info":"number node, value=6574","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=6574, right_input=2618, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1338","layer":3},{"info":"compute binary expreesion, left_input=-6271, right_input=1338, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":1},{"info":"number node, value=3169","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=2607, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3444","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2689, 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=3444, right_input=160, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=3694","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=3694, right_input=3275, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3826","layer":3},{"info":"number node, value=7048","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=7048, right_input=2490, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2493","layer":3},{"info":"compute binary expreesion, left_input=3826, right_input=-2493, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2496","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2496, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2506","layer":1},{"info":"compute binary expreesion, left_input=324, right_input=2506, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4262","layer":0}],"base":12,"result_base":12,"text":"(≤/((-⫖↰⪸3767)⨵⪆⫖↰⪸397A%⫖↰⪸1622))⪨≂(⫖↰⪸1A01⋳⪒⫖↰⪸1613)∼(⫖↰⪸819⨵⪆⫖↰⪸1681)⨰(⫖↰⪸217A⋳⪒⫖↰⪸1A8B)⨓(⫖↰⪸40B4⨓⫖↰⪸1536)=⫖↰⪸-2572","reverse_text":"⫖↰⪸-2572=(≤/((-⫖↰⪸3767)⨵⪆⫖↰⪸397A%⫖↰⪸1622))⪨≂(⫖↰⪸1A01⋳⪒⫖↰⪸1613)∼(⫖↰⪸819⨵⪆⫖↰⪸1681)⨰(⫖↰⪸217A⋳⪒⫖↰⪸1A8B)⨓(⫖↰⪸40B4⨓⫖↰⪸1536)","cot":[{"info":"-⫖↰⪸3767=⫖↰⪸-3767","layer":3},{"info":"⫖↰⪸397A%⫖↰⪸1622=⫖↰⪸936","layer":3},{"info":"⫖↰⪸-3767⨵⪆⫖↰⪸936=⫖↰⪸114","layer":2},{"info":"≤/⫖↰⪸114=⫖↰⪸230","layer":1},{"info":"⫖↰⪸1A01⋳⪒⫖↰⪸1613=⫖↰⪸1BB0","layer":3},{"info":"⫖↰⪸819⨵⪆⫖↰⪸1681=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1BB0∼⫖↰⪸114=⫖↰⪸0","layer":2},{"info":"⫖↰⪸217A⋳⪒⫖↰⪸1A8B=⫖↰⪸226A","layer":3},{"info":"⫖↰⪸40B4⨓⫖↰⪸1536=⫖↰⪸-1539","layer":3},{"info":"⫖↰⪸226A⨓⫖↰⪸-1539=⫖↰⪸-1540","layer":2},{"info":"⫖↰⪸0⨰⫖↰⪸-1540=⫖↰⪸154A","layer":1},{"info":"⫖↰⪸230⪨≂⫖↰⪸154A=⫖↰⪸-2572","layer":0}]}
{"id":739,"expression_no_base_symbol":"$1567$⪢$2771$∀⇚≩($1477$⪨≂$1840$)⨽($4667$⨁⊸⫻)⨽(⫛⫱⨽$1247$)⊭↱$2374$⨓$1023$⨰($1567$≭$1550$)⋥≓≎($6741$∧)≹⇙⪍($2504$↬$2024$)","expression":"⫖↰⪸AA7⪢⫖↰⪸172B∀⇚≩(⫖↰⪸A31⪨≂⫖↰⪸1094)⨽(⫖↰⪸284B⨁⊸⫻)⨽(⫛⫱⨽⫖↰⪸87B)⊭↱⫖↰⪸145A⨓⫖↰⪸713⨰(⫖↰⪸AA7≭⫖↰⪸A92)⋥≓≎(⫖↰⪸3A99∧)≹⇙⪍(⫖↰⪸1548↬⫖↰⪸1208)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9938,"operation_count":15,"complexity_ratio":662.5333333333333,"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":1567,"base":12},"right_expr":{"type":"numeric_atoms","value":2771,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1477,"base":12},"right_expr":{"type":"numeric_atoms","value":1840,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4667,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1247,"base":12}}}},"right_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":1023,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1567,"base":12},"right_expr":{"type":"numeric_atoms","value":1550,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6741,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2504,"base":12},"right_expr":{"type":"numeric_atoms","value":2024,"base":12}}}}},"used_operators":["COABgblf1C","8HhzD0ZcuI","LRNGc0VcxI","dWAJyo7jo9","sdazOOVcIp","glklzrTFfD","DlLNRPXxWL","Qy55tPpLXF","eewbuw0ToL","3ViojmjbAp","rxpJgHHUmx","AHs5Up7iyr","z63VuFQld9","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","dWAJyo7jo9","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=2771, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1477","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1840, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-624, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4667","layer":4},{"info":"compute unary expreesion, input=4667, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4667","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4667, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-65341353","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-65341353, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2374","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=1023, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1026","layer":3},{"info":"number node, value=1567","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=1550, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-1026, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=6741","layer":4},{"info":"compute unary expreesion, input=6741, 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=2504","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=2024, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸AA7⪢⫖↰⪸172B∀⇚≩(⫖↰⪸A31⪨≂⫖↰⪸1094)⨽(⫖↰⪸284B⨁⊸⫻)⨽(⫛⫱⨽⫖↰⪸87B)⊭↱⫖↰⪸145A⨓⫖↰⪸713⨰(⫖↰⪸AA7≭⫖↰⪸A92)⋥≓≎(⫖↰⪸3A99∧)≹⇙⪍(⫖↰⪸1548↬⫖↰⪸1208)=NaN","reverse_text":"NaN=⫖↰⪸AA7⪢⫖↰⪸172B∀⇚≩(⫖↰⪸A31⪨≂⫖↰⪸1094)⨽(⫖↰⪸284B⨁⊸⫻)⨽(⫛⫱⨽⫖↰⪸87B)⊭↱⫖↰⪸145A⨓⫖↰⪸713⨰(⫖↰⪸AA7≭⫖↰⪸A92)⋥≓≎(⫖↰⪸3A99∧)≹⇙⪍(⫖↰⪸1548↬⫖↰⪸1208)","cot":[{"info":"⫖↰⪸AA7⪢⫖↰⪸172B=NaN","layer":3},{"info":"⫖↰⪸A31⪨≂⫖↰⪸1094=⫖↰⪸-440","layer":3},{"info":"NaN∀⇚≩⫖↰⪸-440=NaN","layer":2},{"info":"⫖↰⪸284B⨁⊸⫻=⫖↰⪸284B","layer":3},{"info":"⫛⫱⨽⫖↰⪸87B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸284B⨽⫖↰⪸0=⫖↰⪸-19A71349","layer":2},{"info":"NaN⨽⫖↰⪸-19A71349=NaN","layer":1},{"info":"⫖↰⪸145A⨓⫖↰⪸713=⫖↰⪸-716","layer":3},{"info":"⫖↰⪸AA7≭⫖↰⪸A92=NaN","layer":3},{"info":"⫖↰⪸-716⨰NaN=NaN","layer":2},{"info":"⫖↰⪸3A99∧=NaN","layer":3},{"info":"⫖↰⪸1548↬⫖↰⪸1208=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":1},{"info":"NaN⊭↱⫖↰⪸57=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"($1584$⨪↰⇹$3508$+⇶⊼$2220$⨰$1281$∲⫓(⨰⫟⨤($3122$⫩⊇)))⊘","expression":"(⫖↰⪸B00⨪↰⇹⫖↰⪸2044+⇶⊼⫖↰⪸1350⨰⫖↰⪸8A9∲⫓(⨰⫟⨤(⫖↰⪸1982⫩⊇)))⊘","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14828,"operation_count":7,"complexity_ratio":2118.285714285714,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1584,"base":12},"right_expr":{"type":"numeric_atoms","value":3508,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2220,"base":12},"right_expr":{"type":"numeric_atoms","value":1281,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3122,"base":12}}}}},"used_operators":["gu96TGCTMs","i8ToyICDmI","TpPTUOHfaN","tmPS8pqC7x","eewbuw0ToL","Tw270M8GLb","BjRHVeLaeN"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3508, 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=1584","layer":3},{"info":"number node, value=2220","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=1281, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=949","layer":3},{"info":"compute binary expreesion, left_input=1584, right_input=949, 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=3122","layer":4},{"info":"compute unary expreesion, input=3122, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3080","layer":3},{"info":"compute unary expreesion, input=-3080, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B00⨪↰⇹⫖↰⪸2044+⇶⊼⫖↰⪸1350⨰⫖↰⪸8A9∲⫓(⨰⫟⨤(⫖↰⪸1982⫩⊇)))⊘=NaN","reverse_text":"NaN=(⫖↰⪸B00⨪↰⇹⫖↰⪸2044+⇶⊼⫖↰⪸1350⨰⫖↰⪸8A9∲⫓(⨰⫟⨤(⫖↰⪸1982⫩⊇)))⊘","cot":[{"info":"⫖↰⪸B00⨪↰⇹⫖↰⪸2044=⫖↰⪸B00","layer":3},{"info":"⫖↰⪸1350⨰⫖↰⪸8A9=⫖↰⪸671","layer":3},{"info":"⫖↰⪸B00+⇶⊼⫖↰⪸671=NaN","layer":2},{"info":"⫖↰⪸1982⫩⊇=⫖↰⪸-1948","layer":3},{"info":"⨰⫟⨤⫖↰⪸-1948=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"($2257$⫡⨏$2583$⫡⨏$5160$⫥∨⫟$1336$)⇼⇔∾(⨑⩽⪐$1046$)∑⇟⊟($4590$⫡⨏$4300$)⇼⇔∾((($7206$/$3820$)⊪)+($1396$⪨≂$2727$⋷$2474$≭$5917$))","expression":"(⫖↰⪸1381⫡⨏⫖↰⪸15B3⫡⨏⫖↰⪸2BA0⫥∨⫟⫖↰⪸934)⇼⇔∾(⨑⩽⪐⫖↰⪸732)∑⇟⊟(⫖↰⪸27A6⫡⨏⫖↰⪸25A4)⇼⇔∾(((⫖↰⪸4206/⫖↰⪸2264)⊪)+(⫖↰⪸984⪨≂⫖↰⪸16B3⋷⫖↰⪸1522≭⫖↰⪸3511))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":207,"operation_count":14,"complexity_ratio":14.785714285714286,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2257,"base":12},"right_expr":{"type":"numeric_atoms","value":2583,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5160,"base":12},"right_expr":{"type":"numeric_atoms","value":1336,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1046,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4590,"base":12},"right_expr":{"type":"numeric_atoms","value":4300,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7206,"base":12},"right_expr":{"type":"numeric_atoms","value":3820,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1396,"base":12},"right_expr":{"type":"numeric_atoms","value":2727,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2474,"base":12},"right_expr":{"type":"numeric_atoms","value":5917,"base":12}}}}},"used_operators":["tifHPKVTfV","QMFrweE19q","KYD54nUTWz","U7g4x0WXJJ","AF7qkfDlqP","W4YGzv6Whe","zVYPLywUTj","XhwjNDsVaA","23Mk6UjR3U","sdazOOVcIp","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2257","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=2583, 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=17234","layer":3},{"info":"number node, value=5160","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=1336, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17234, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-773","layer":3},{"info":"number node, value=4590","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=4590, right_input=4300, 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=32333","layer":3},{"info":"compute binary expreesion, left_input=-773, right_input=32333, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=7206","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=7206, right_input=3820, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"number node, value=1396","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=2727, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2560","layer":3},{"info":"number node, value=2474","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=5917, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-2560, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5120","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5120, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5120","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5120, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1381⫡⨏⫖↰⪸15B3⫡⨏⫖↰⪸2BA0⫥∨⫟⫖↰⪸934)⇼⇔∾(⨑⩽⪐⫖↰⪸732)∑⇟⊟(⫖↰⪸27A6⫡⨏⫖↰⪸25A4)⇼⇔∾(((⫖↰⪸4206/⫖↰⪸2264)⊪)+(⫖↰⪸984⪨≂⫖↰⪸16B3⋷⫖↰⪸1522≭⫖↰⪸3511))=NaN","reverse_text":"NaN=(⫖↰⪸1381⫡⨏⫖↰⪸15B3⫡⨏⫖↰⪸2BA0⫥∨⫟⫖↰⪸934)⇼⇔∾(⨑⩽⪐⫖↰⪸732)∑⇟⊟(⫖↰⪸27A6⫡⨏⫖↰⪸25A4)⇼⇔∾(((⫖↰⪸4206/⫖↰⪸2264)⊪)+(⫖↰⪸984⪨≂⫖↰⪸16B3⋷⫖↰⪸1522≭⫖↰⪸3511))","cot":[{"info":"⫖↰⪸1381⫡⨏⫖↰⪸15B3=⫖↰⪸9B82","layer":3},{"info":"⫖↰⪸2BA0⫥∨⫟⫖↰⪸934=NaN","layer":3},{"info":"⫖↰⪸9B82⫡⨏NaN=NaN","layer":2},{"info":"⨑⩽⪐⫖↰⪸732=⫖↰⪸-545","layer":3},{"info":"⫖↰⪸27A6⫡⨏⫖↰⪸25A4=⫖↰⪸16865","layer":3},{"info":"⫖↰⪸-545∑⇟⊟⫖↰⪸16865=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⫖↰⪸4206/⫖↰⪸2264=⫖↰⪸1","layer":3},{"info":"⫖↰⪸1⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸984⪨≂⫖↰⪸16B3=⫖↰⪸-1594","layer":3},{"info":"⫖↰⪸1522≭⫖↰⪸3511=NaN","layer":3},{"info":"⫖↰⪸-1594⋷NaN=⫖↰⪸2B68","layer":2},{"info":"⫖↰⪸0+⫖↰⪸2B68=⫖↰⪸2B68","layer":1},{"info":"NaN⇼⇔∾⫖↰⪸2B68=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"(($2078$⪠⩆⊳)⩷∴$2407$⪛$2466$⊠≄⫣)⨸⪁(⩦⩻⨪($2966$∼$3091$⪒$1366$⋓$7107$))","expression":"((⫖↰⪸1252⪠⩆⊳)⩷∴⫖↰⪸1487⪛⫖↰⪸1516⊠≄⫣)⨸⪁(⩦⩻⨪(⫖↰⪸1872∼⫖↰⪸1957⪒⫖↰⪸95A⋓⫖↰⪸4143))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":101,"operation_count":9,"complexity_ratio":11.222222222222221,"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":2078,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2407,"base":12},"right_expr":{"type":"numeric_atoms","value":2466,"base":12}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2966,"base":12},"right_expr":{"type":"numeric_atoms","value":3091,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1366,"base":12},"right_expr":{"type":"numeric_atoms","value":7107,"base":12}}}}},"used_operators":["g55IO6H4Gj","DIvbN7qnHd","9FxExcQeMw","JLbD19bQDL","uFcxV4UQCh","2td37pGCOC","f6k1SAg4EE","DyGG3AbaNP","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","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=2078","layer":4},{"info":"compute unary expreesion, input=2078, 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=2407","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=2466, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2407","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2407, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4846","layer":2},{"info":"compute unary expreesion, input=-4846, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2966","layer":4},{"info":"number node, value=3091","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=3091, 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=1366","layer":4},{"info":"number node, value=7107","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=7107, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":"((⫖↰⪸1252⪠⩆⊳)⩷∴⫖↰⪸1487⪛⫖↰⪸1516⊠≄⫣)⨸⪁(⩦⩻⨪(⫖↰⪸1872∼⫖↰⪸1957⪒⫖↰⪸95A⋓⫖↰⪸4143))=NaN","reverse_text":"NaN=((⫖↰⪸1252⪠⩆⊳)⩷∴⫖↰⪸1487⪛⫖↰⪸1516⊠≄⫣)⨸⪁(⩦⩻⨪(⫖↰⪸1872∼⫖↰⪸1957⪒⫖↰⪸95A⋓⫖↰⪸4143))","cot":[{"info":"⫖↰⪸1252⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1487⪛⫖↰⪸1516=⫖↰⪸1487","layer":3},{"info":"⫖↰⪸0⩷∴⫖↰⪸1487=⫖↰⪸-297A","layer":2},{"info":"⫖↰⪸-297A⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1872∼⫖↰⪸1957=NaN","layer":3},{"info":"⫖↰⪸95A⋓⫖↰⪸4143=⫖↰⪸0","layer":3},{"info":"NaN⪒⫖↰⪸0=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫖↰⪸0⨸⪁NaN=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"(⪝⪂⫅($4003$⩠))+⇶⊼(($5704$+$2928$)≋⫹)⪒(↽≂(⫓⪴($1231$⩨$2229$)))","expression":"(⪝⪂⫅(⫖↰⪸2397⩠))+⇶⊼((⫖↰⪸3374+⫖↰⪸1840)≋⫹)⪒(↽≂(⫓⪴(⫖↰⪸867⩨⫖↰⪸1359)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":9,"complexity_ratio":4.444444444444445,"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":4003,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5704,"base":12},"right_expr":{"type":"numeric_atoms","value":2928,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":2229,"base":12}}}}},"used_operators":["f6k1SAg4EE","TpPTUOHfaN","XTarYq4gQB","sJAwomhLZr","N41Kp7NANJ","W4YGzv6Whe","u6S6b8DprG","eLxqMNBOBk","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4003","layer":4},{"info":"compute unary expreesion, input=4003, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"number node, value=5704","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=5704, right_input=2928, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8632","layer":3},{"info":"compute unary expreesion, input=8632, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-17264","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-17264, 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=1231","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2229, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9","layer":2},{"info":"compute unary expreesion, input=9, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-18","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅(⫖↰⪸2397⩠))+⇶⊼((⫖↰⪸3374+⫖↰⪸1840)≋⫹)⪒(↽≂(⫓⪴(⫖↰⪸867⩨⫖↰⪸1359)))=NaN","reverse_text":"NaN=(⪝⪂⫅(⫖↰⪸2397⩠))+⇶⊼((⫖↰⪸3374+⫖↰⪸1840)≋⫹)⪒(↽≂(⫓⪴(⫖↰⪸867⩨⫖↰⪸1359)))","cot":[{"info":"⫖↰⪸2397⩠=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3374+⫖↰⪸1840=⫖↰⪸4BB4","layer":3},{"info":"⫖↰⪸4BB4≋⫹=⫖↰⪸-9BA8","layer":2},{"info":"⫖↰⪸0+⇶⊼⫖↰⪸-9BA8=NaN","layer":1},{"info":"⫖↰⪸867⩨⫖↰⪸1359=⫖↰⪸-3","layer":3},{"info":"⫓⪴⫖↰⪸-3=⫖↰⪸9","layer":2},{"info":"↽≂⫖↰⪸9=⫖↰⪸-16","layer":1},{"info":"NaN⪒⫖↰⪸-16=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"⩦⩻⨪(($5715$⨐⩸⫘$1828$⊭↱($4132$⪒$2448$))⊦⊿)","expression":"⩦⩻⨪((⫖↰⪸3383⨐⩸⫘⫖↰⪸1084⊭↱(⫖↰⪸2484⪒⫖↰⪸1500))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":19,"operation_count":5,"complexity_ratio":3.8,"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":5715,"base":12},"right_expr":{"type":"numeric_atoms","value":1828,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4132,"base":12},"right_expr":{"type":"numeric_atoms","value":2448,"base":12}}}}},"used_operators":["2td37pGCOC","14qkJME0vr","COABgblf1C","fu6greOZ01","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5715","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=5715, right_input=1828, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4132","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=2448, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6580","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6580, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((⫖↰⪸3383⨐⩸⫘⫖↰⪸1084⊭↱(⫖↰⪸2484⪒⫖↰⪸1500))⊦⊿)=NaN","reverse_text":"NaN=⩦⩻⨪((⫖↰⪸3383⨐⩸⫘⫖↰⪸1084⊭↱(⫖↰⪸2484⪒⫖↰⪸1500))⊦⊿)","cot":[{"info":"⫖↰⪸3383⨐⩸⫘⫖↰⪸1084=NaN","layer":3},{"info":"⫖↰⪸2484⪒⫖↰⪸1500=⫖↰⪸-3984","layer":3},{"info":"NaN⊭↱⫖↰⪸-3984=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"((($2341$⨽$3320$)⪠⩆⊳)↪⪝)⨳⩥⨓(⩦⩻⨪(($1929$⫩⊇)∲⫓(↽≂$8121$)))","expression":"(((⫖↰⪸1431⨽⫖↰⪸1B08)⪠⩆⊳)↪⪝)⨳⩥⨓(⩦⩻⨪((⫖↰⪸1149⫩⊇)∲⫓(↽≂⫖↰⪸4849)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2373,"operation_count":8,"complexity_ratio":296.625,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2341,"base":12},"right_expr":{"type":"numeric_atoms","value":3320,"base":12}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1929,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8121,"base":12}}}}},"used_operators":["nCS4ZIUYfx","l07mrZUIn9","JLbD19bQDL","8HhzD0ZcuI","2td37pGCOC","i8ToyICDmI","BjRHVeLaeN","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1113","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2341","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=3320, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16449489","layer":3},{"info":"compute unary expreesion, input=-16449489, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":1},{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1887","layer":3},{"info":"number node, value=8121","layer":4},{"info":"compute unary expreesion, input=8121, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16242","layer":3},{"info":"compute binary expreesion, left_input=-1887, right_input=-16242, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1887","layer":2},{"info":"compute unary expreesion, input=-1887, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1887","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1887, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1887","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1431⨽⫖↰⪸1B08)⪠⩆⊳)↪⪝)⨳⩥⨓(⩦⩻⨪((⫖↰⪸1149⫩⊇)∲⫓(↽≂⫖↰⪸4849)))=⫖↰⪸-1113","reverse_text":"⫖↰⪸-1113=(((⫖↰⪸1431⨽⫖↰⪸1B08)⪠⩆⊳)↪⪝)⨳⩥⨓(⩦⩻⨪((⫖↰⪸1149⫩⊇)∲⫓(↽≂⫖↰⪸4849)))","cot":[{"info":"⫖↰⪸1431⨽⫖↰⪸1B08=⫖↰⪸-5613469","layer":3},{"info":"⫖↰⪸-5613469⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0↪⪝=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1149⫩⊇=⫖↰⪸-1113","layer":3},{"info":"↽≂⫖↰⪸4849=⫖↰⪸-9496","layer":3},{"info":"⫖↰⪸-1113∲⫓⫖↰⪸-9496=⫖↰⪸-1113","layer":2},{"info":"⩦⩻⨪⫖↰⪸-1113=⫖↰⪸-1113","layer":1},{"info":"⫖↰⪸0⨳⩥⨓⫖↰⪸-1113=⫖↰⪸-1113","layer":0}]}
{"id":746,"expression_no_base_symbol":"(⨵≀≌(⩦⩻⨪($2972$⪐)))+$2007$≧⫂∧$1100$⋳⪒(⊙↵-$2678$)⋥≓≎(⨈⫕$4695$)⩚⊴⇥(⊙↵-$1244$)","expression":"(⨵≀≌(⩦⩻⨪(⫖↰⪸1878⪐)))+⫖↰⪸11B3≧⫂∧⫖↰⪸778⋳⪒(⊙↵-⫖↰⪸1672)⋥≓≎(⨈⫕⫖↰⪸2873)⩚⊴⇥(⊙↵-⫖↰⪸878)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4424,"operation_count":11,"complexity_ratio":402.1818181818182,"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":2972,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2007,"base":12},"right_expr":{"type":"numeric_atoms","value":1100,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2678,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4695,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1244,"base":12}}}}},"used_operators":["W4YGzv6Whe","srAu1WTS94","2td37pGCOC","eH2TOUuTDT","Qy55tPpLXF","12rbrZMWeM","Ph9nP6C5qx","oWn0xqSxBt","NTOWxs364D","megm06wKyl"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸-AB85","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2972","layer":4},{"info":"compute unary expreesion, input=2972, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5944","layer":3},{"info":"compute unary expreesion, input=5944, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5944","layer":2},{"info":"compute unary expreesion, input=5944, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17832","layer":1},{"info":"number node, value=2007","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1100, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=627","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=627, right_input=-1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=968","layer":2},{"info":"number node, value=4695","layer":4},{"info":"compute unary expreesion, input=4695, 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=1244","layer":4},{"info":"compute unary expreesion, input=1244, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-99","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-99, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1133","layer":1},{"info":"compute binary expreesion, left_input=-17832, right_input=-1133, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-18965","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌(⩦⩻⨪(⫖↰⪸1878⪐)))+⫖↰⪸11B3≧⫂∧⫖↰⪸778⋳⪒(⊙↵-⫖↰⪸1672)⋥≓≎(⨈⫕⫖↰⪸2873)⩚⊴⇥(⊙↵-⫖↰⪸878)=⫖↰⪸-AB85","reverse_text":"⫖↰⪸-AB85=(⨵≀≌(⩦⩻⨪(⫖↰⪸1878⪐)))+⫖↰⪸11B3≧⫂∧⫖↰⪸778⋳⪒(⊙↵-⫖↰⪸1672)⋥≓≎(⨈⫕⫖↰⪸2873)⩚⊴⇥(⊙↵-⫖↰⪸878)","cot":[{"info":"⫖↰⪸1878⪐=⫖↰⪸3534","layer":3},{"info":"⩦⩻⨪⫖↰⪸3534=⫖↰⪸3534","layer":2},{"info":"⨵≀≌⫖↰⪸3534=⫖↰⪸-A3A0","layer":1},{"info":"⫖↰⪸11B3≧⫂∧⫖↰⪸778=⫖↰⪸443","layer":3},{"info":"⊙↵-⫖↰⪸1672=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸443⋳⪒⫖↰⪸-1=⫖↰⪸688","layer":2},{"info":"⨈⫕⫖↰⪸2873=⫖↰⪸-19","layer":3},{"info":"⊙↵-⫖↰⪸878=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-19⩚⊴⇥⫖↰⪸-1=⫖↰⪸-83","layer":2},{"info":"⫖↰⪸688⋥≓≎⫖↰⪸-83=⫖↰⪸-7A5","layer":1},{"info":"⫖↰⪸-A3A0+⫖↰⪸-7A5=⫖↰⪸-AB85","layer":0}]}
{"id":747,"expression_no_base_symbol":"(($3235$+⇶⊼$4917$*$1427$⊴$2253$)⨰($2773$/$1131$⋷$2369$⪢$5692$))≹⇙⪍(((⨈⫕$7063$)⊘)-$2146$⩚⊴⇥$4006$⫸⊐$5108$⫥∨⫟$3936$)","expression":"((⫖↰⪸1A57+⇶⊼⫖↰⪸2A19*⫖↰⪸9AB⊴⫖↰⪸1379)⨰(⫖↰⪸1731/⫖↰⪸7A3⋷⫖↰⪸1455⪢⫖↰⪸3364))≹⇙⪍(((⨈⫕⫖↰⪸4107)⊘)-⫖↰⪸12AA⩚⊴⇥⫖↰⪸239A⫸⊐⫖↰⪸2B58⫥∨⫟⫖↰⪸2340)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":945557,"operation_count":14,"complexity_ratio":67539.78571428571,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3235,"base":12},"right_expr":{"type":"numeric_atoms","value":4917,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1427,"base":12},"right_expr":{"type":"numeric_atoms","value":2253,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2773,"base":12},"right_expr":{"type":"numeric_atoms","value":1131,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2369,"base":12},"right_expr":{"type":"numeric_atoms","value":5692,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7063,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2146,"base":12},"right_expr":{"type":"numeric_atoms","value":4006,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5108,"base":12},"right_expr":{"type":"numeric_atoms","value":3936,"base":12}}}}},"used_operators":["AHs5Up7iyr","eewbuw0ToL","9HNa5Wba9A","TpPTUOHfaN","Nsiff2A1zJ","23Mk6UjR3U","XhwjNDsVaA","dWAJyo7jo9","rysDP5nf3Z","gu96TGCTMs","megm06wKyl","mqXw5SEYmG","NTOWxs364D","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3235","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=4917, 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=1427","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=2253, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2773","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=1131, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=2369","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=5692, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=7063","layer":4},{"info":"compute unary expreesion, input=7063, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 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=2146","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=4006, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6273","layer":3},{"info":"number node, value=5108","layer":4},{"info":"number node, value=3936","layer":4},{"info":"compute binary expreesion, left_input=5108, right_input=3936, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6273, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-968, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⫖↰⪸1A57+⇶⊼⫖↰⪸2A19*⫖↰⪸9AB⊴⫖↰⪸1379)⨰(⫖↰⪸1731/⫖↰⪸7A3⋷⫖↰⪸1455⪢⫖↰⪸3364))≹⇙⪍(((⨈⫕⫖↰⪸4107)⊘)-⫖↰⪸12AA⩚⊴⇥⫖↰⪸239A⫸⊐⫖↰⪸2B58⫥∨⫟⫖↰⪸2340)=NaN","reverse_text":"NaN=((⫖↰⪸1A57+⇶⊼⫖↰⪸2A19*⫖↰⪸9AB⊴⫖↰⪸1379)⨰(⫖↰⪸1731/⫖↰⪸7A3⋷⫖↰⪸1455⪢⫖↰⪸3364))≹⇙⪍(((⨈⫕⫖↰⪸4107)⊘)-⫖↰⪸12AA⩚⊴⇥⫖↰⪸239A⫸⊐⫖↰⪸2B58⫥∨⫟⫖↰⪸2340)","cot":[{"info":"⫖↰⪸1A57+⇶⊼⫖↰⪸2A19=NaN","layer":3},{"info":"⫖↰⪸9AB⊴⫖↰⪸1379=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⫖↰⪸1731/⫖↰⪸7A3=⫖↰⪸2","layer":3},{"info":"⫖↰⪸1455⪢⫖↰⪸3364=NaN","layer":3},{"info":"⫖↰⪸2⋷NaN=⫖↰⪸-4","layer":2},{"info":"NaN⨰⫖↰⪸-4=NaN","layer":1},{"info":"⨈⫕⫖↰⪸4107=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸12AA⩚⊴⇥⫖↰⪸239A=⫖↰⪸-3769","layer":3},{"info":"⫖↰⪸2B58⫥∨⫟⫖↰⪸2340=NaN","layer":3},{"info":"⫖↰⪸-3769⫸⊐NaN=⫖↰⪸688","layer":2},{"info":"⫖↰⪸0-⫖↰⪸688=⫖↰⪸-688","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸-688=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"(⇁⨣⪵($5351$⇼⇔∾$2732$/($6293$∧)))↙(($1437$⪄$6143$)⋝⋈⪟($2684$⊭↱$8420$)⨳⩥⨓($1717$⋳⪒$1266$)≎⊠⪸($1599$⨳⩥⨓$1591$))","expression":"(⇁⨣⪵(⫖↰⪸311B⇼⇔∾⫖↰⪸16B8/(⫖↰⪸3785∧)))↙((⫖↰⪸9B9⪄⫖↰⪸367B)⋝⋈⪟(⫖↰⪸1678⊭↱⫖↰⪸4A58)⨳⩥⨓(⫖↰⪸BB1⋳⪒⫖↰⪸896)≎⊠⪸(⫖↰⪸B13⨳⩥⨓⫖↰⪸B07))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":398,"operation_count":12,"complexity_ratio":33.166666666666664,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5351,"base":12},"right_expr":{"type":"numeric_atoms","value":2732,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6293,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1437,"base":12},"right_expr":{"type":"numeric_atoms","value":6143,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2684,"base":12},"right_expr":{"type":"numeric_atoms","value":8420,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1717,"base":12},"right_expr":{"type":"numeric_atoms","value":1266,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1599,"base":12},"right_expr":{"type":"numeric_atoms","value":1591,"base":12}}}}},"used_operators":["yyfyN0ffXY","inkyxCbjAn","XhwjNDsVaA","tifHPKVTfV","z63VuFQld9","nCS4ZIUYfx","2DDjHMKMc0","SUmda5xLS4","COABgblf1C","bJkvcejdHO","12rbrZMWeM"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5351","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=5351, right_input=2732, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2619","layer":3},{"info":"number node, value=6293","layer":4},{"info":"compute unary expreesion, input=6293, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2619, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1437","layer":4},{"info":"number node, value=6143","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=6143, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-233337","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=8420","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=8420, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11477","layer":3},{"info":"compute binary expreesion, left_input=-233337, right_input=11477, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-233337","layer":2},{"info":"number node, value=1717","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=1266, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1881","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=1591, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8","layer":3},{"info":"compute binary expreesion, left_input=1881, right_input=-8, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=486706","layer":2},{"info":"compute binary expreesion, left_input=-233337, right_input=486706, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=720043","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=720043, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(⫖↰⪸311B⇼⇔∾⫖↰⪸16B8/(⫖↰⪸3785∧)))↙((⫖↰⪸9B9⪄⫖↰⪸367B)⋝⋈⪟(⫖↰⪸1678⊭↱⫖↰⪸4A58)⨳⩥⨓(⫖↰⪸BB1⋳⪒⫖↰⪸896)≎⊠⪸(⫖↰⪸B13⨳⩥⨓⫖↰⪸B07))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫖↰⪸311B⇼⇔∾⫖↰⪸16B8/(⫖↰⪸3785∧)))↙((⫖↰⪸9B9⪄⫖↰⪸367B)⋝⋈⪟(⫖↰⪸1678⊭↱⫖↰⪸4A58)⨳⩥⨓(⫖↰⪸BB1⋳⪒⫖↰⪸896)≎⊠⪸(⫖↰⪸B13⨳⩥⨓⫖↰⪸B07))","cot":[{"info":"⫖↰⪸311B⇼⇔∾⫖↰⪸16B8=⫖↰⪸-1623","layer":3},{"info":"⫖↰⪸3785∧=NaN","layer":3},{"info":"⫖↰⪸-1623/NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⫖↰⪸9B9⪄⫖↰⪸367B=⫖↰⪸-B3049","layer":3},{"info":"⫖↰⪸1678⊭↱⫖↰⪸4A58=⫖↰⪸6785","layer":3},{"info":"⫖↰⪸-B3049⋝⋈⪟⫖↰⪸6785=⫖↰⪸-B3049","layer":2},{"info":"⫖↰⪸BB1⋳⪒⫖↰⪸896=⫖↰⪸1109","layer":3},{"info":"⫖↰⪸B13⨳⩥⨓⫖↰⪸B07=⫖↰⪸-8","layer":3},{"info":"⫖↰⪸1109≎⊠⪸⫖↰⪸-8=⫖↰⪸1B57AA","layer":2},{"info":"⫖↰⪸-B3049⨳⩥⨓⫖↰⪸1B57AA=⫖↰⪸2A8837","layer":1},{"info":"NaN↙⫖↰⪸2A8837=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"(($1473$⫸⊐$1732$)⊴($5460$⨐⩸⫘$2391$)∸)≋⫹","expression":"((⫖↰⪸A29⫸⊐⫖↰⪸1004)⊴(⫖↰⪸31B0⨐⩸⫘⫖↰⪸1473)∸)≋⫹","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":212,"operation_count":5,"complexity_ratio":42.4,"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":1473,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5460,"base":12},"right_expr":{"type":"numeric_atoms","value":2391,"base":12}}}}},"used_operators":["N41Kp7NANJ","o20kRiQErp","Nsiff2A1zJ","mqXw5SEYmG","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp"],"result":"⫖↰⪸-256","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=1732, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6803","layer":3},{"info":"number node, value=5460","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=2391, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6803, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-354","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A29⫸⊐⫖↰⪸1004)⊴(⫖↰⪸31B0⨐⩸⫘⫖↰⪸1473)∸)≋⫹=⫖↰⪸-256","reverse_text":"⫖↰⪸-256=((⫖↰⪸A29⫸⊐⫖↰⪸1004)⊴(⫖↰⪸31B0⨐⩸⫘⫖↰⪸1473)∸)≋⫹","cot":[{"info":"⫖↰⪸A29⫸⊐⫖↰⪸1004=⫖↰⪸3B2B","layer":3},{"info":"⫖↰⪸31B0⨐⩸⫘⫖↰⪸1473=NaN","layer":3},{"info":"⫖↰⪸3B2B⊴NaN=NaN","layer":2},{"info":"NaN∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸129≋⫹=⫖↰⪸-256","layer":0}]}
{"id":750,"expression_no_base_symbol":"⊥((⊄⩳↩($3668$⊭↱$6447$))⇼⇔∾$2046$⊴$2097$⩷∴$4162$⨪↰⇹$1425$)","expression":"⊥((⊄⩳↩(⫖↰⪸2158⊭↱⫖↰⪸3893))⇼⇔∾⫖↰⪸1226⊴⫖↰⪸1269⩷∴⫖↰⪸24AA⨪↰⇹⫖↰⪸9A9)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6283,"operation_count":7,"complexity_ratio":897.5714285714286,"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":3668,"base":12},"right_expr":{"type":"numeric_atoms","value":6447,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2046,"base":12},"right_expr":{"type":"numeric_atoms","value":2097,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4162,"base":12},"right_expr":{"type":"numeric_atoms","value":1425,"base":12}}}}},"used_operators":["Q3PJZHRvZv","tifHPKVTfV","8w2t5hMYqp","COABgblf1C","9FxExcQeMw","Nsiff2A1zJ","tmPS8pqC7x"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3668","layer":4},{"info":"number node, value=6447","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=6447, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5563","layer":3},{"info":"compute unary expreesion, input=5563, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16689","layer":2},{"info":"number node, value=2046","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=2097, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4162","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=4162, right_input=1425, 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=4162","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4162, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16689, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥((⊄⩳↩(⫖↰⪸2158⊭↱⫖↰⪸3893))⇼⇔∾⫖↰⪸1226⊴⫖↰⪸1269⩷∴⫖↰⪸24AA⨪↰⇹⫖↰⪸9A9)=NaN","reverse_text":"NaN=⊥((⊄⩳↩(⫖↰⪸2158⊭↱⫖↰⪸3893))⇼⇔∾⫖↰⪸1226⊴⫖↰⪸1269⩷∴⫖↰⪸24AA⨪↰⇹⫖↰⪸9A9)","cot":[{"info":"⫖↰⪸2158⊭↱⫖↰⪸3893=⫖↰⪸3277","layer":3},{"info":"⊄⩳↩⫖↰⪸3277=⫖↰⪸-97A9","layer":2},{"info":"⫖↰⪸1226⊴⫖↰⪸1269=NaN","layer":3},{"info":"⫖↰⪸24AA⨪↰⇹⫖↰⪸9A9=⫖↰⪸24AA","layer":3},{"info":"NaN⩷∴⫖↰⪸24AA=NaN","layer":2},{"info":"⫖↰⪸-97A9⇼⇔∾NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"(∂($1746$⫩⊇))⊴(⪝⪂⫅($1621$/$2933$))⪒((↣≠⋷($1382$↬$3266$))+($1400$⩠)⪘⫢($1462$⨎$3517$))","expression":"(∂(⫖↰⪸1016⫩⊇))⊴(⪝⪂⫅(⫖↰⪸B31/⫖↰⪸1845))⪒((↣≠⋷(⫖↰⪸972↬⫖↰⪸1A82))+(⫖↰⪸988⩠)⪘⫢(⫖↰⪸A1A⨎⫖↰⪸2051))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":476,"operation_count":12,"complexity_ratio":39.666666666666664,"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":1746,"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":2933,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1382,"base":12},"right_expr":{"type":"numeric_atoms","value":3266,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1400,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1462,"base":12},"right_expr":{"type":"numeric_atoms","value":3517,"base":12}}}}},"used_operators":["f6k1SAg4EE","Nsiff2A1zJ","Uaa54Peajs","BjRHVeLaeN","XTarYq4gQB","XhwjNDsVaA","W4YGzv6Whe","Asc51vEJeQ","B5M0gjZbta","oacrs7FA3X","sJAwomhLZr","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1704","layer":3},{"info":"compute unary expreesion, input=-1704, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1440","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=2933, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=1382","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=3266, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=3517, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3517","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3517, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1156, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-79, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂(⫖↰⪸1016⫩⊇))⊴(⪝⪂⫅(⫖↰⪸B31/⫖↰⪸1845))⪒((↣≠⋷(⫖↰⪸972↬⫖↰⪸1A82))+(⫖↰⪸988⩠)⪘⫢(⫖↰⪸A1A⨎⫖↰⪸2051))=NaN","reverse_text":"NaN=(∂(⫖↰⪸1016⫩⊇))⊴(⪝⪂⫅(⫖↰⪸B31/⫖↰⪸1845))⪒((↣≠⋷(⫖↰⪸972↬⫖↰⪸1A82))+(⫖↰⪸988⩠)⪘⫢(⫖↰⪸A1A⨎⫖↰⪸2051))","cot":[{"info":"⫖↰⪸1016⫩⊇=⫖↰⪸-BA0","layer":3},{"info":"∂⫖↰⪸-BA0=⫖↰⪸A00","layer":2},{"info":"⫖↰⪸B31/⫖↰⪸1845=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A00⊴⫖↰⪸0=⫖↰⪸-67","layer":1},{"info":"⫖↰⪸972↬⫖↰⪸1A82=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸988⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A1A⨎⫖↰⪸2051=⫖↰⪸2051","layer":3},{"info":"⫖↰⪸0⪘⫢⫖↰⪸2051=⫖↰⪸-804","layer":2},{"info":"NaN+⫖↰⪸-804=NaN","layer":1},{"info":"⫖↰⪸-67⪒NaN=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"(↯⪼(($2739$⨳⩥⨓$4181$)∼($5646$≎⊠⪸$5452$)))⨳⩥⨓(⊙↵-($6581$↺$1694$⪨≂($1210$⨵⪆$7081$)))","expression":"(↯⪼((⫖↰⪸1703⨳⩥⨓⫖↰⪸2505)∼(⫖↰⪸3326≎⊠⪸⫖↰⪸31A4)))⨳⩥⨓(⊙↵-(⫖↰⪸3985↺⫖↰⪸B92⪨≂(⫖↰⪸84A⨵⪆⫖↰⪸4121)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3561,"operation_count":9,"complexity_ratio":395.6666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2739,"base":12},"right_expr":{"type":"numeric_atoms","value":4181,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5646,"base":12},"right_expr":{"type":"numeric_atoms","value":5452,"base":12}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6581,"base":12},"right_expr":{"type":"numeric_atoms","value":1694,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":7081,"base":12}}}}},"used_operators":["nCS4ZIUYfx","8jW3W4yZS5","DyGG3AbaNP","bJkvcejdHO","oWn0xqSxBt","sdazOOVcIp","7j4O788W3g","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=4181, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1442","layer":3},{"info":"number node, value=5646","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=5646, right_input=5452, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1461841","layer":3},{"info":"compute binary expreesion, left_input=1442, right_input=1461841, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=6581","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=6581, right_input=1694, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1694","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=7081","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=7081, 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=1694, right_input=160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3170","layer":2},{"info":"compute unary expreesion, input=3170, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=20","layer":0}],"base":12,"result_base":12,"text":"(↯⪼((⫖↰⪸1703⨳⩥⨓⫖↰⪸2505)∼(⫖↰⪸3326≎⊠⪸⫖↰⪸31A4)))⨳⩥⨓(⊙↵-(⫖↰⪸3985↺⫖↰⪸B92⪨≂(⫖↰⪸84A⨵⪆⫖↰⪸4121)))=⫖↰⪸18","reverse_text":"⫖↰⪸18=(↯⪼((⫖↰⪸1703⨳⩥⨓⫖↰⪸2505)∼(⫖↰⪸3326≎⊠⪸⫖↰⪸31A4)))⨳⩥⨓(⊙↵-(⫖↰⪸3985↺⫖↰⪸B92⪨≂(⫖↰⪸84A⨵⪆⫖↰⪸4121)))","cot":[{"info":"⫖↰⪸1703⨳⩥⨓⫖↰⪸2505=⫖↰⪸A02","layer":3},{"info":"⫖↰⪸3326≎⊠⪸⫖↰⪸31A4=⫖↰⪸5A5B81","layer":3},{"info":"⫖↰⪸A02∼⫖↰⪸5A5B81=NaN","layer":2},{"info":"↯⪼NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸3985↺⫖↰⪸B92=⫖↰⪸B92","layer":3},{"info":"⫖↰⪸84A⨵⪆⫖↰⪸4121=⫖↰⪸114","layer":3},{"info":"⫖↰⪸B92⪨≂⫖↰⪸114=⫖↰⪸1A02","layer":2},{"info":"⊙↵-⫖↰⪸1A02=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸-19⨳⩥⨓⫖↰⪸-1=⫖↰⪸18","layer":0}]}
{"id":753,"expression_no_base_symbol":"(⫓⪴(∥⊫(⫓⪴$1302$)))⨎((($3294$⪄$3927$)⨳⩥⨓$1428$⨰$5305$)⨎($3873$⊭↱$2048$-(⫛⫱⨽$3138$)))","expression":"(⫓⪴(∥⊫(⫓⪴⫖↰⪸906)))⨎(((⫖↰⪸1AA6⪄⫖↰⪸2333)⨳⩥⨓⫖↰⪸9B0⨰⫖↰⪸30A1)⨎(⫖↰⪸22A9⊭↱⫖↰⪸1228-(⫛⫱⨽⫖↰⪸1996)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1698913,"operation_count":11,"complexity_ratio":154446.63636363635,"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":1302,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3294,"base":12},"right_expr":{"type":"numeric_atoms","value":3927,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":5305,"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":2048,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3138,"base":12}}}}},"used_operators":["rJVOvQCfKK","eLxqMNBOBk","P8v4zCKN1o","nCS4ZIUYfx","SUmda5xLS4","eewbuw0ToL","rysDP5nf3Z","COABgblf1C","DlLNRPXxWL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫖↰⪸-2139","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1695204","layer":3},{"info":"compute unary expreesion, input=1695204, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1696072","layer":2},{"info":"compute unary expreesion, input=1696072, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"number node, value=3294","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=3294, right_input=3927, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-499309","layer":3},{"info":"number node, value=1428","layer":4},{"info":"number node, value=5305","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5305, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3867","layer":3},{"info":"compute binary expreesion, left_input=-499309, right_input=-3867, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=495442","layer":2},{"info":"number node, value=3873","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=2048, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3645","layer":3},{"info":"number node, value=3138","layer":4},{"info":"compute unary expreesion, input=3138, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3645, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3645","layer":2},{"info":"compute binary expreesion, left_input=495442, right_input=-3645, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3645","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=-3645, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3645","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(∥⊫(⫓⪴⫖↰⪸906)))⨎(((⫖↰⪸1AA6⪄⫖↰⪸2333)⨳⩥⨓⫖↰⪸9B0⨰⫖↰⪸30A1)⨎(⫖↰⪸22A9⊭↱⫖↰⪸1228-(⫛⫱⨽⫖↰⪸1996)))=⫖↰⪸-2139","reverse_text":"⫖↰⪸-2139=(⫓⪴(∥⊫(⫓⪴⫖↰⪸906)))⨎(((⫖↰⪸1AA6⪄⫖↰⪸2333)⨳⩥⨓⫖↰⪸9B0⨰⫖↰⪸30A1)⨎(⫖↰⪸22A9⊭↱⫖↰⪸1228-(⫛⫱⨽⫖↰⪸1996)))","cot":[{"info":"⫓⪴⫖↰⪸906=⫖↰⪸699030","layer":3},{"info":"∥⊫⫖↰⪸699030=⫖↰⪸699634","layer":2},{"info":"⫓⪴⫖↰⪸699634=Inf","layer":1},{"info":"⫖↰⪸1AA6⪄⫖↰⪸2333=⫖↰⪸-200B51","layer":3},{"info":"⫖↰⪸9B0⨰⫖↰⪸30A1=⫖↰⪸-22A3","layer":3},{"info":"⫖↰⪸-200B51⨳⩥⨓⫖↰⪸-22A3=⫖↰⪸1BA86A","layer":2},{"info":"⫖↰⪸22A9⊭↱⫖↰⪸1228=⫖↰⪸-2139","layer":3},{"info":"⫛⫱⨽⫖↰⪸1996=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-2139-⫖↰⪸0=⫖↰⪸-2139","layer":2},{"info":"⫖↰⪸1BA86A⨎⫖↰⪸-2139=⫖↰⪸-2139","layer":1},{"info":"Inf⨎⫖↰⪸-2139=⫖↰⪸-2139","layer":0}]}
{"id":754,"expression_no_base_symbol":"(⨈⫕($5480$⫥∨⫟$1025$⇼⇔∾$1850$⨟⋌⩍$1836$))⊉≛↸(($1045$⩨$1993$-$2449$⨟⋌⩍$5584$)≫≃)","expression":"(⨈⫕(⫖↰⪸3208⫥∨⫟⫖↰⪸715⇼⇔∾⫖↰⪸10A2⨟⋌⩍⫖↰⪸1090))⊉≛↸((⫖↰⪸731⩨⫖↰⪸11A1-⫖↰⪸1501⨟⋌⩍⫖↰⪸3294)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":558,"operation_count":9,"complexity_ratio":62.0,"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":5480,"base":12},"right_expr":{"type":"numeric_atoms","value":1025,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1850,"base":12},"right_expr":{"type":"numeric_atoms","value":1836,"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":1993,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2449,"base":12},"right_expr":{"type":"numeric_atoms","value":5584,"base":12}}}}},"used_operators":["DZ8iAZOCBD","megm06wKyl","tifHPKVTfV","KYD54nUTWz","rGHVDoGpnC","X99M06cbEe","rysDP5nf3Z","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-36","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5480","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=1025, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1850","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1836, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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=1045","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1993, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2449","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=5584, 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=-3, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕(⫖↰⪸3208⫥∨⫟⫖↰⪸715⇼⇔∾⫖↰⪸10A2⨟⋌⩍⫖↰⪸1090))⊉≛↸((⫖↰⪸731⩨⫖↰⪸11A1-⫖↰⪸1501⨟⋌⩍⫖↰⪸3294)≫≃)=⫖↰⪸-36","reverse_text":"⫖↰⪸-36=(⨈⫕(⫖↰⪸3208⫥∨⫟⫖↰⪸715⇼⇔∾⫖↰⪸10A2⨟⋌⩍⫖↰⪸1090))⊉≛↸((⫖↰⪸731⩨⫖↰⪸11A1-⫖↰⪸1501⨟⋌⩍⫖↰⪸3294)≫≃)","cot":[{"info":"⫖↰⪸3208⫥∨⫟⫖↰⪸715=NaN","layer":3},{"info":"⫖↰⪸10A2⨟⋌⩍⫖↰⪸1090=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸731⩨⫖↰⪸11A1=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸1501⨟⋌⩍⫖↰⪸3294=NaN","layer":3},{"info":"⫖↰⪸-3-NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⫖↰⪸-19⊉≛↸NaN=⫖↰⪸-36","layer":0}]}
{"id":755,"expression_no_base_symbol":"((⋗⩬⋾$3413$)≧⫂∧($1646$↺$1060$)⊭↱$2038$∑⇟⊟$1875$∑⇟⊟(⪝⪂⫅$2101$))⊴(⫛⫱⨽(($6266$*$2718$)⩚⊴⇥($1231$⊉≛↸$4010$)))","expression":"((⋗⩬⋾⫖↰⪸1B85)≧⫂∧(⫖↰⪸B52↺⫖↰⪸744)⊭↱⫖↰⪸121A∑⇟⊟⫖↰⪸1103∑⇟⊟(⪝⪂⫅⫖↰⪸1271))⊴(⫛⫱⨽((⫖↰⪸3762*⫖↰⪸16A6)⩚⊴⇥(⫖↰⪸867⊉≛↸⫖↰⪸23A2)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4316,"operation_count":12,"complexity_ratio":359.6666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3413,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1646,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2038,"base":12},"right_expr":{"type":"numeric_atoms","value":1875,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2101,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6266,"base":12},"right_expr":{"type":"numeric_atoms","value":2718,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":4010,"base":12}}}}},"used_operators":["Nsiff2A1zJ","COABgblf1C","Ph9nP6C5qx","DpFCA1CohY","7j4O788W3g","U7g4x0WXJJ","XTarYq4gQB","DlLNRPXxWL","NTOWxs364D","9HNa5Wba9A","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3413","layer":4},{"info":"compute unary expreesion, input=3413, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10239","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1646, 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 binary expreesion, left_input=-10239, right_input=1060, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=587","layer":2},{"info":"number node, value=2038","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=1875, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-308847","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-308847, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=587, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=6266","layer":4},{"info":"number node, value=2718","layer":4},{"info":"compute binary expreesion, left_input=6266, right_input=2718, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17030988","layer":3},{"info":"number node, value=1231","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=4010, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2462","layer":3},{"info":"compute binary expreesion, left_input=17030988, right_input=2462, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-17033571","layer":2},{"info":"compute unary expreesion, input=-17033571, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋗⩬⋾⫖↰⪸1B85)≧⫂∧(⫖↰⪸B52↺⫖↰⪸744)⊭↱⫖↰⪸121A∑⇟⊟⫖↰⪸1103∑⇟⊟(⪝⪂⫅⫖↰⪸1271))⊴(⫛⫱⨽((⫖↰⪸3762*⫖↰⪸16A6)⩚⊴⇥(⫖↰⪸867⊉≛↸⫖↰⪸23A2)))=NaN","reverse_text":"NaN=((⋗⩬⋾⫖↰⪸1B85)≧⫂∧(⫖↰⪸B52↺⫖↰⪸744)⊭↱⫖↰⪸121A∑⇟⊟⫖↰⪸1103∑⇟⊟(⪝⪂⫅⫖↰⪸1271))⊴(⫛⫱⨽((⫖↰⪸3762*⫖↰⪸16A6)⩚⊴⇥(⫖↰⪸867⊉≛↸⫖↰⪸23A2)))","cot":[{"info":"⋗⩬⋾⫖↰⪸1B85=⫖↰⪸-5B13","layer":3},{"info":"⫖↰⪸B52↺⫖↰⪸744=⫖↰⪸744","layer":3},{"info":"⫖↰⪸-5B13≧⫂∧⫖↰⪸744=⫖↰⪸40B","layer":2},{"info":"⫖↰⪸121A∑⇟⊟⫖↰⪸1103=NaN","layer":3},{"info":"⪝⪂⫅⫖↰⪸1271=⫖↰⪸-12A893","layer":3},{"info":"NaN∑⇟⊟⫖↰⪸-12A893=NaN","layer":2},{"info":"⫖↰⪸40B⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸3762*⫖↰⪸16A6=⫖↰⪸5853A90","layer":3},{"info":"⫖↰⪸867⊉≛↸⫖↰⪸23A2=⫖↰⪸1512","layer":3},{"info":"⫖↰⪸5853A90⩚⊴⇥⫖↰⪸1512=⫖↰⪸-5855483","layer":2},{"info":"⫛⫱⨽⫖↰⪸-5855483=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(∂($1265$⪘⫢$6859$⋷$2407$⨓$1038$))≧⫂∧(($3822$⩨$2122$)⋳⪒($1541$%$2915$)-($2946$≦≮≮)-$1184$-$3251$)","expression":"(∂(⫖↰⪸895⪘⫢⫖↰⪸3B77⋷⫖↰⪸1487⨓⫖↰⪸726))≧⫂∧((⫖↰⪸2266⩨⫖↰⪸128A)⋳⪒(⫖↰⪸A85%⫖↰⪸182B)-(⫖↰⪸1856≦≮≮)-⫖↰⪸828-⫖↰⪸1A6B)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1498,"operation_count":12,"complexity_ratio":124.83333333333333,"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":1265,"base":12},"right_expr":{"type":"numeric_atoms","value":6859,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2407,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3822,"base":12},"right_expr":{"type":"numeric_atoms","value":2122,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1541,"base":12},"right_expr":{"type":"numeric_atoms","value":2915,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2946,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1184,"base":12},"right_expr":{"type":"numeric_atoms","value":3251,"base":12}}}}},"used_operators":["Ph9nP6C5qx","Uaa54Peajs","23Mk6UjR3U","oacrs7FA3X","3ViojmjbAp","rysDP5nf3Z","12rbrZMWeM","2DlMacCsIx","k8jYdgA6NY","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2706","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"number node, value=6859","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=6859, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2406","layer":3},{"info":"number node, value=2407","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=1038, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1041","layer":3},{"info":"compute binary expreesion, left_input=2406, right_input=-1041, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4488","layer":2},{"info":"compute unary expreesion, input=-4488, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4224","layer":1},{"info":"number node, value=3822","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=2122, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=2915, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1541","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1541, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1828","layer":2},{"info":"number node, value=2946","layer":4},{"info":"compute unary expreesion, input=2946, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8838","layer":3},{"info":"number node, value=1184","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=3251, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2067","layer":3},{"info":"compute binary expreesion, left_input=-8838, right_input=-2067, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6771","layer":2},{"info":"compute binary expreesion, left_input=-1828, right_input=-6771, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4943","layer":1},{"info":"compute binary expreesion, left_input=4224, right_input=4943, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4470","layer":0}],"base":12,"result_base":12,"text":"(∂(⫖↰⪸895⪘⫢⫖↰⪸3B77⋷⫖↰⪸1487⨓⫖↰⪸726))≧⫂∧((⫖↰⪸2266⩨⫖↰⪸128A)⋳⪒(⫖↰⪸A85%⫖↰⪸182B)-(⫖↰⪸1856≦≮≮)-⫖↰⪸828-⫖↰⪸1A6B)=⫖↰⪸2706","reverse_text":"⫖↰⪸2706=(∂(⫖↰⪸895⪘⫢⫖↰⪸3B77⋷⫖↰⪸1487⨓⫖↰⪸726))≧⫂∧((⫖↰⪸2266⩨⫖↰⪸128A)⋳⪒(⫖↰⪸A85%⫖↰⪸182B)-(⫖↰⪸1856≦≮≮)-⫖↰⪸828-⫖↰⪸1A6B)","cot":[{"info":"⫖↰⪸895⪘⫢⫖↰⪸3B77=⫖↰⪸1486","layer":3},{"info":"⫖↰⪸1487⨓⫖↰⪸726=⫖↰⪸-729","layer":3},{"info":"⫖↰⪸1486⋷⫖↰⪸-729=⫖↰⪸-2720","layer":2},{"info":"∂⫖↰⪸-2720=⫖↰⪸2540","layer":1},{"info":"⫖↰⪸2266⩨⫖↰⪸128A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A85%⫖↰⪸182B=⫖↰⪸A85","layer":3},{"info":"⫖↰⪸0⋳⪒⫖↰⪸A85=⫖↰⪸-1084","layer":2},{"info":"⫖↰⪸1856≦≮≮=⫖↰⪸-5146","layer":3},{"info":"⫖↰⪸828-⫖↰⪸1A6B=⫖↰⪸-1243","layer":3},{"info":"⫖↰⪸-5146-⫖↰⪸-1243=⫖↰⪸-3B03","layer":2},{"info":"⫖↰⪸-1084-⫖↰⪸-3B03=⫖↰⪸2A3B","layer":1},{"info":"⫖↰⪸2540≧⫂∧⫖↰⪸2A3B=⫖↰⪸2706","layer":0}]}
{"id":757,"expression_no_base_symbol":"(⊄⩳↩($8320$⪠⩆⊳))⪢((⨰⫟⨤$2807$)+⇶⊼($8097$⩚⊴⇥$4146$))⪛((+⊝⨔($4218$⋫))⨸⪁(+⊝⨔($1094$⨪↰⇹$3344$)))","expression":"(⊄⩳↩(⫖↰⪸4994⪠⩆⊳))⪢((⨰⫟⨤⫖↰⪸175B)+⇶⊼(⫖↰⪸4829⩚⊴⇥⫖↰⪸2496))⪛((+⊝⨔(⫖↰⪸2536⋫))⨸⪁(+⊝⨔(⫖↰⪸772⨪↰⇹⫖↰⪸1B28)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15801,"operation_count":12,"complexity_ratio":1316.75,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8320,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2807,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8097,"base":12},"right_expr":{"type":"numeric_atoms","value":4146,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4218,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1094,"base":12},"right_expr":{"type":"numeric_atoms","value":3344,"base":12}}}}},"used_operators":["uFcxV4UQCh","dWAJyo7jo9","8w2t5hMYqp","JLbD19bQDL","TpPTUOHfaN","Tw270M8GLb","NTOWxs364D","g55IO6H4Gj","DhbWaqg5eL","JL8yIekQnl","tmPS8pqC7x"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8320","layer":4},{"info":"compute unary expreesion, input=8320, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"number node, value=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=8097","layer":4},{"info":"number node, value=4146","layer":4},{"info":"compute binary expreesion, left_input=8097, right_input=4146, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12364, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=4218","layer":4},{"info":"compute unary expreesion, input=4218, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4218","layer":3},{"info":"compute unary expreesion, input=4218, 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=1094","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=3344, 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=1094","layer":3},{"info":"compute unary expreesion, input=1094, 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=1522, right_input=1522, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6088","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6088, 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":"(⊄⩳↩(⫖↰⪸4994⪠⩆⊳))⪢((⨰⫟⨤⫖↰⪸175B)+⇶⊼(⫖↰⪸4829⩚⊴⇥⫖↰⪸2496))⪛((+⊝⨔(⫖↰⪸2536⋫))⨸⪁(+⊝⨔(⫖↰⪸772⨪↰⇹⫖↰⪸1B28)))=NaN","reverse_text":"NaN=(⊄⩳↩(⫖↰⪸4994⪠⩆⊳))⪢((⨰⫟⨤⫖↰⪸175B)+⇶⊼(⫖↰⪸4829⩚⊴⇥⫖↰⪸2496))⪛((+⊝⨔(⫖↰⪸2536⋫))⨸⪁(+⊝⨔(⫖↰⪸772⨪↰⇹⫖↰⪸1B28)))","cot":[{"info":"⫖↰⪸4994⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⊄⩳↩⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⨰⫟⨤⫖↰⪸175B=NaN","layer":3},{"info":"⫖↰⪸4829⩚⊴⇥⫖↰⪸2496=⫖↰⪸-71A4","layer":3},{"info":"NaN+⇶⊼⫖↰⪸-71A4=NaN","layer":2},{"info":"⫖↰⪸0⪢NaN=NaN","layer":1},{"info":"⫖↰⪸2536⋫=⫖↰⪸2536","layer":3},{"info":"+⊝⨔⫖↰⪸2536=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸772⨪↰⇹⫖↰⪸1B28=⫖↰⪸772","layer":3},{"info":"+⊝⨔⫖↰⪸772=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸A6A⨸⪁⫖↰⪸A6A=⫖↰⪸3634","layer":1},{"info":"NaN⪛⫖↰⪸3634=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"⇁⨣⪵((⨈⫕$2963$⨟⋌⩍$1646$)⋷($4870$⪄$2237$)⋝⋈⪟($1669$+⇶⊼$1276$))","expression":"⇁⨣⪵((⨈⫕⫖↰⪸186B⨟⋌⩍⫖↰⪸B52)⋷(⫖↰⪸299A⪄⫖↰⪸1365)⋝⋈⪟(⫖↰⪸B71+⇶⊼⫖↰⪸8A4))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":738,"operation_count":7,"complexity_ratio":105.42857142857143,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2963,"base":12},"right_expr":{"type":"numeric_atoms","value":1646,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4870,"base":12},"right_expr":{"type":"numeric_atoms","value":2237,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1669,"base":12},"right_expr":{"type":"numeric_atoms","value":1276,"base":12}}}}},"used_operators":["inkyxCbjAn","23Mk6UjR3U","megm06wKyl","rGHVDoGpnC","2DDjHMKMc0","SUmda5xLS4","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=1646, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=4870","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=4870, right_input=2237, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-725797","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1276, 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=-725797, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":1},{"info":"compute unary expreesion, input=42, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵((⨈⫕⫖↰⪸186B⨟⋌⩍⫖↰⪸B52)⋷(⫖↰⪸299A⪄⫖↰⪸1365)⋝⋈⪟(⫖↰⪸B71+⇶⊼⫖↰⪸8A4))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇁⨣⪵((⨈⫕⫖↰⪸186B⨟⋌⩍⫖↰⪸B52)⋷(⫖↰⪸299A⪄⫖↰⪸1365)⋝⋈⪟(⫖↰⪸B71+⇶⊼⫖↰⪸8A4))","cot":[{"info":"⫖↰⪸186B⨟⋌⩍⫖↰⪸B52=NaN","layer":3},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸299A⪄⫖↰⪸1365=⫖↰⪸-2B0031","layer":3},{"info":"⫖↰⪸B71+⇶⊼⫖↰⪸8A4=NaN","layer":3},{"info":"⫖↰⪸-2B0031⋝⋈⪟NaN=NaN","layer":2},{"info":"⫖↰⪸-19⋷NaN=⫖↰⪸36","layer":1},{"info":"⇁⨣⪵⫖↰⪸36=⫖↰⪸0","layer":0}]}
{"id":759,"expression_no_base_symbol":"⪲⇎($1166$⨳⩥⨓$4428$⫸⊐(↔$1907$))⋝⋈⪟($1222$≹⇙⪍$3784$⪒$5753$⨽$4196$)","expression":"⪲⇎(⫖↰⪸812⨳⩥⨓⫖↰⪸2690⫸⊐(↔⫖↰⪸112B))⋝⋈⪟(⫖↰⪸85A≹⇙⪍⫖↰⪸2234⪒⫖↰⪸33B5⨽⫖↰⪸2518)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5803,"operation_count":8,"complexity_ratio":725.375,"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":1166,"base":12},"right_expr":{"type":"numeric_atoms","value":4428,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1907,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1222,"base":12},"right_expr":{"type":"numeric_atoms","value":3784,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5753,"base":12},"right_expr":{"type":"numeric_atoms","value":4196,"base":12}}}}},"used_operators":["XPYlsWDdGa","2DDjHMKMc0","mqXw5SEYmG","nCS4ZIUYfx","ruOEQAzv1W","f6k1SAg4EE","AHs5Up7iyr","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=4428","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=4428, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3262","layer":3},{"info":"number node, value=1907","layer":4},{"info":"compute unary expreesion, input=1907, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1634","layer":3},{"info":"compute binary expreesion, left_input=3262, right_input=-1634, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-3397","layer":2},{"info":"number node, value=1222","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=3784, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5753","layer":4},{"info":"number node, value=4196","layer":4},{"info":"compute binary expreesion, left_input=5753, right_input=4196, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-99302301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-99302301, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3397, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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":"⪲⇎(⫖↰⪸812⨳⩥⨓⫖↰⪸2690⫸⊐(↔⫖↰⪸112B))⋝⋈⪟(⫖↰⪸85A≹⇙⪍⫖↰⪸2234⪒⫖↰⪸33B5⨽⫖↰⪸2518)=NaN","reverse_text":"NaN=⪲⇎(⫖↰⪸812⨳⩥⨓⫖↰⪸2690⫸⊐(↔⫖↰⪸112B))⋝⋈⪟(⫖↰⪸85A≹⇙⪍⫖↰⪸2234⪒⫖↰⪸33B5⨽⫖↰⪸2518)","cot":[{"info":"⫖↰⪸812⨳⩥⨓⫖↰⪸2690=⫖↰⪸1A7A","layer":3},{"info":"↔⫖↰⪸112B=⫖↰⪸-B42","layer":3},{"info":"⫖↰⪸1A7A⫸⊐⫖↰⪸-B42=⫖↰⪸-1B71","layer":2},{"info":"⫖↰⪸85A≹⇙⪍⫖↰⪸2234=NaN","layer":3},{"info":"⫖↰⪸33B5⨽⫖↰⪸2518=⫖↰⪸-2930A739","layer":3},{"info":"NaN⪒⫖↰⪸-2930A739=NaN","layer":2},{"info":"⫖↰⪸-1B71⋝⋈⪟NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"(($2015$⪘⫢$1508$⋥≓≎$1016$⋓$1048$)∑⇟⊟($6005$↬$1346$⫥∨⫟($1244$⫸⊐$1413$)))⪮%⊝($1706$+⇶⊼$4773$+⇶⊼$2006$⨪↰⇹$2395$↙((⋗⩬⋾$1611$)⇼⇔∾(⊄⩳↩$5436$)))","expression":"((⫖↰⪸11BB⪘⫢⫖↰⪸A58⋥≓≎⫖↰⪸708⋓⫖↰⪸734)∑⇟⊟(⫖↰⪸3585↬⫖↰⪸942⫥∨⫟(⫖↰⪸878⫸⊐⫖↰⪸999)))⪮%⊝(⫖↰⪸BA2+⇶⊼⫖↰⪸2919+⇶⊼⫖↰⪸11B2⨪↰⇹⫖↰⪸1477↙((⋗⩬⋾⫖↰⪸B23)⇼⇔∾(⊄⩳↩⫖↰⪸3190)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2238,"operation_count":15,"complexity_ratio":149.2,"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":2015,"base":12},"right_expr":{"type":"numeric_atoms","value":1508,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":1048,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6005,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1244,"base":12},"right_expr":{"type":"numeric_atoms","value":1413,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1706,"base":12},"right_expr":{"type":"numeric_atoms","value":4773,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2006,"base":12},"right_expr":{"type":"numeric_atoms","value":2395,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1611,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5436,"base":12}}}}},"used_operators":["IWmyXbctLI","U7g4x0WXJJ","Qy55tPpLXF","oacrs7FA3X","T2fj7uvVaJ","KYD54nUTWz","B5M0gjZbta","mqXw5SEYmG","yyfyN0ffXY","TpPTUOHfaN","tmPS8pqC7x","tifHPKVTfV","DpFCA1CohY","8w2t5hMYqp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2015","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=1508, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3906","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1048, 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=3906, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3873","layer":2},{"info":"number node, value=6005","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=6005, right_input=1346, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1244","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1413, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5527, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3873, 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=1706","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=4773, 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=2006","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=2395, 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=2006","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2006, 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=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4833","layer":3},{"info":"number node, value=5436","layer":4},{"info":"compute unary expreesion, input=5436, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16308","layer":3},{"info":"compute binary expreesion, left_input=-4833, right_input=-16308, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-11475","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11475, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸11BB⪘⫢⫖↰⪸A58⋥≓≎⫖↰⪸708⋓⫖↰⪸734)∑⇟⊟(⫖↰⪸3585↬⫖↰⪸942⫥∨⫟(⫖↰⪸878⫸⊐⫖↰⪸999)))⪮%⊝(⫖↰⪸BA2+⇶⊼⫖↰⪸2919+⇶⊼⫖↰⪸11B2⨪↰⇹⫖↰⪸1477↙((⋗⩬⋾⫖↰⪸B23)⇼⇔∾(⊄⩳↩⫖↰⪸3190)))=NaN","reverse_text":"NaN=((⫖↰⪸11BB⪘⫢⫖↰⪸A58⋥≓≎⫖↰⪸708⋓⫖↰⪸734)∑⇟⊟(⫖↰⪸3585↬⫖↰⪸942⫥∨⫟(⫖↰⪸878⫸⊐⫖↰⪸999)))⪮%⊝(⫖↰⪸BA2+⇶⊼⫖↰⪸2919+⇶⊼⫖↰⪸11B2⨪↰⇹⫖↰⪸1477↙((⋗⩬⋾⫖↰⪸B23)⇼⇔∾(⊄⩳↩⫖↰⪸3190)))","cot":[{"info":"⫖↰⪸11BB⪘⫢⫖↰⪸A58=⫖↰⪸2316","layer":3},{"info":"⫖↰⪸708⋓⫖↰⪸734=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2316⋥≓≎⫖↰⪸0=⫖↰⪸-22A9","layer":2},{"info":"⫖↰⪸3585↬⫖↰⪸942=NaN","layer":3},{"info":"⫖↰⪸878⫸⊐⫖↰⪸999=⫖↰⪸3247","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸3247=NaN","layer":2},{"info":"⫖↰⪸-22A9∑⇟⊟NaN=NaN","layer":1},{"info":"⫖↰⪸BA2+⇶⊼⫖↰⪸2919=NaN","layer":3},{"info":"⫖↰⪸11B2⨪↰⇹⫖↰⪸1477=⫖↰⪸11B2","layer":3},{"info":"NaN+⇶⊼⫖↰⪸11B2=NaN","layer":2},{"info":"⋗⩬⋾⫖↰⪸B23=⫖↰⪸-2969","layer":3},{"info":"⊄⩳↩⫖↰⪸3190=⫖↰⪸-9530","layer":3},{"info":"⫖↰⪸-2969⇼⇔∾⫖↰⪸-9530=⫖↰⪸-6783","layer":2},{"info":"NaN↙⫖↰⪸-6783=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"((($2027$⨵⪆$1979$)⨐⩸⫘($3042$∲⫓$3425$))⊘)/(⇁⨣⪵($5679$%$2241$))∲⫓($2024$⪠⩆⊳)⨎($7694$⊉≛↸$3415$)","expression":"(((⫖↰⪸120B⨵⪆⫖↰⪸118B)⨐⩸⫘(⫖↰⪸1916∲⫓⫖↰⪸1B95))⊘)/(⇁⨣⪵(⫖↰⪸3353%⫖↰⪸1369))∲⫓(⫖↰⪸1208⪠⩆⊳)⨎(⫖↰⪸4552⊉≛↸⫖↰⪸1B87)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":38,"operation_count":11,"complexity_ratio":3.4545454545454546,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2027,"base":12},"right_expr":{"type":"numeric_atoms","value":1979,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3042,"base":12},"right_expr":{"type":"numeric_atoms","value":3425,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5679,"base":12},"right_expr":{"type":"numeric_atoms","value":2241,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2024,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7694,"base":12},"right_expr":{"type":"numeric_atoms","value":3415,"base":12}}}}},"used_operators":["XhwjNDsVaA","gu96TGCTMs","fu6greOZ01","2DQ55sFlQl","i8ToyICDmI","inkyxCbjAn","k8jYdgA6NY","rJVOvQCfKK","JLbD19bQDL","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1979, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3042","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=3042, right_input=3425, 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=160, 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=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"number node, value=5679","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=2241, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1197","layer":3},{"info":"compute unary expreesion, input=1197, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, 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=7694","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=7694, right_input=3415, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15388","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15388, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=15388","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15388, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸120B⨵⪆⫖↰⪸118B)⨐⩸⫘(⫖↰⪸1916∲⫓⫖↰⪸1B95))⊘)/(⇁⨣⪵(⫖↰⪸3353%⫖↰⪸1369))∲⫓(⫖↰⪸1208⪠⩆⊳)⨎(⫖↰⪸4552⊉≛↸⫖↰⪸1B87)=NaN","reverse_text":"NaN=(((⫖↰⪸120B⨵⪆⫖↰⪸118B)⨐⩸⫘(⫖↰⪸1916∲⫓⫖↰⪸1B95))⊘)/(⇁⨣⪵(⫖↰⪸3353%⫖↰⪸1369))∲⫓(⫖↰⪸1208⪠⩆⊳)⨎(⫖↰⪸4552⊉≛↸⫖↰⪸1B87)","cot":[{"info":"⫖↰⪸120B⨵⪆⫖↰⪸118B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1916∲⫓⫖↰⪸1B95=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⨐⩸⫘⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3353%⫖↰⪸1369=⫖↰⪸839","layer":3},{"info":"⇁⨣⪵⫖↰⪸839=NaN","layer":2},{"info":"⫖↰⪸1208⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4552⊉≛↸⫖↰⪸1B87=⫖↰⪸8AA4","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸8AA4=⫖↰⪸8AA4","layer":2},{"info":"NaN∲⫓⫖↰⪸8AA4=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0/⫖↰⪸0=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"((⊄⩳↩($3139$⪄$2586$))⋝⋈⪟(⇁⨣⪵($1899$⨁⊸⫻)))⪛((↔(∥⊫$1478$))⫥∨⫟(⫛⫱⨽(↩$4280$)))","expression":"((⊄⩳↩(⫖↰⪸1997⪄⫖↰⪸15B6))⋝⋈⪟(⇁⨣⪵(⫖↰⪸1123⨁⊸⫻)))⪛((↔(∥⊫⫖↰⪸A32))⫥∨⫟(⫛⫱⨽(↩⫖↰⪸2588)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1710,"operation_count":11,"complexity_ratio":155.45454545454547,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3139,"base":12},"right_expr":{"type":"numeric_atoms","value":2586,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1899,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1478,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4280,"base":12}}}}},"used_operators":["uFcxV4UQCh","2DDjHMKMc0","8w2t5hMYqp","SUmda5xLS4","inkyxCbjAn","glklzrTFfD","KYD54nUTWz","ruOEQAzv1W","P8v4zCKN1o","DlLNRPXxWL","jLgFTUHLKL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","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=3139","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=2586, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-471005","layer":3},{"info":"compute unary expreesion, input=-471005, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=1413015","layer":2},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1899","layer":3},{"info":"compute unary expreesion, input=1899, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1413015, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2346","layer":3},{"info":"compute unary expreesion, input=2346, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2073","layer":2},{"info":"number node, value=4280","layer":4},{"info":"compute unary expreesion, input=4280, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31460","layer":3},{"info":"compute unary expreesion, input=-31460, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2073, right_input=0, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊄⩳↩(⫖↰⪸1997⪄⫖↰⪸15B6))⋝⋈⪟(⇁⨣⪵(⫖↰⪸1123⨁⊸⫻)))⪛((↔(∥⊫⫖↰⪸A32))⫥∨⫟(⫛⫱⨽(↩⫖↰⪸2588)))=NaN","reverse_text":"NaN=((⊄⩳↩(⫖↰⪸1997⪄⫖↰⪸15B6))⋝⋈⪟(⇁⨣⪵(⫖↰⪸1123⨁⊸⫻)))⪛((↔(∥⊫⫖↰⪸A32))⫥∨⫟(⫛⫱⨽(↩⫖↰⪸2588)))","cot":[{"info":"⫖↰⪸1997⪄⫖↰⪸15B6=⫖↰⪸-1A86A5","layer":3},{"info":"⊄⩳↩⫖↰⪸-1A86A5=⫖↰⪸581873","layer":2},{"info":"⫖↰⪸1123⨁⊸⫻=⫖↰⪸1123","layer":3},{"info":"⇁⨣⪵⫖↰⪸1123=NaN","layer":2},{"info":"⫖↰⪸581873⋝⋈⪟NaN=NaN","layer":1},{"info":"∥⊫⫖↰⪸A32=⫖↰⪸1436","layer":3},{"info":"↔⫖↰⪸1436=⫖↰⪸-1249","layer":2},{"info":"↩⫖↰⪸2588=⫖↰⪸-16258","layer":3},{"info":"⫛⫱⨽⫖↰⪸-16258=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-1249⫥∨⫟⫖↰⪸0=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"∂((⨰⫟⨤($4221$∲⫓$1115$))⪨≂$3366$⩷∴$4212$⪒$2107$↺$2404$)","expression":"∂((⨰⫟⨤(⫖↰⪸2539∲⫓⫖↰⪸78B))⪨≂⫖↰⪸1B46⩷∴⫖↰⪸2530⪒⫖↰⪸1277↺⫖↰⪸1484)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":913,"operation_count":7,"complexity_ratio":130.42857142857142,"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":4221,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3366,"base":12},"right_expr":{"type":"numeric_atoms","value":4212,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2107,"base":12},"right_expr":{"type":"numeric_atoms","value":2404,"base":12}}}}},"used_operators":["Uaa54Peajs","sdazOOVcIp","Tw270M8GLb","i8ToyICDmI","f6k1SAg4EE","9FxExcQeMw","7j4O788W3g"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4221","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=4221, right_input=1115, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=3366","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=4212, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1724","layer":3},{"info":"number node, value=2107","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2404, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2404","layer":3},{"info":"compute binary expreesion, left_input=-1724, right_input=2404, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-680","layer":2},{"info":"compute binary expreesion, left_input=4492662, right_input=-680, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8986786","layer":1},{"info":"compute unary expreesion, input=8986786, 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":"∂((⨰⫟⨤(⫖↰⪸2539∲⫓⫖↰⪸78B))⪨≂⫖↰⪸1B46⩷∴⫖↰⪸2530⪒⫖↰⪸1277↺⫖↰⪸1484)=NaN","reverse_text":"NaN=∂((⨰⫟⨤(⫖↰⪸2539∲⫓⫖↰⪸78B))⪨≂⫖↰⪸1B46⩷∴⫖↰⪸2530⪒⫖↰⪸1277↺⫖↰⪸1484)","cot":[{"info":"⫖↰⪸2539∲⫓⫖↰⪸78B=⫖↰⪸0","layer":3},{"info":"⨰⫟⨤⫖↰⪸0=⫖↰⪸1607B06","layer":2},{"info":"⫖↰⪸1B46⩷∴⫖↰⪸2530=⫖↰⪸-BB8","layer":3},{"info":"⫖↰⪸1277↺⫖↰⪸1484=⫖↰⪸1484","layer":3},{"info":"⫖↰⪸-BB8⪒⫖↰⪸1484=⫖↰⪸-488","layer":2},{"info":"⫖↰⪸1607B06⪨≂⫖↰⪸-488=⫖↰⪸301482A","layer":1},{"info":"∂⫖↰⪸301482A=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"((⋗⩬⋾(∥⊫$4056$))⊭↱((≤/$1544$)⊉≛↸$1757$⫥∨⫟$3115$))⫥∨⫟((↥$2620$)⨐⩸⫘$1242$⪢$1810$⋷(⫛⫱⨽$1559$)⨓($1631$↪⪝))","expression":"((⋗⩬⋾(∥⊫⫖↰⪸2420))⊭↱((≤/⫖↰⪸A88)⊉≛↸⫖↰⪸1025⫥∨⫟⫖↰⪸1977))⫥∨⫟((↥⫖↰⪸1624)⨐⩸⫘⫖↰⪸876⪢⫖↰⪸106A⋷(⫛⫱⨽⫖↰⪸A9B)⨓(⫖↰⪸B3B↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4319,"operation_count":14,"complexity_ratio":308.5,"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":4056,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1544,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1757,"base":12},"right_expr":{"type":"numeric_atoms","value":3115,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2620,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1242,"base":12},"right_expr":{"type":"numeric_atoms","value":1810,"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":1631,"base":12}}}}},"used_operators":["KYD54nUTWz","COABgblf1C","DpFCA1CohY","P8v4zCKN1o","DZ8iAZOCBD","eLAdDNolq6","23Mk6UjR3U","fu6greOZ01","A8NUZmVepG","dWAJyo7jo9","3ViojmjbAp","DlLNRPXxWL","l07mrZUIn9"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4056","layer":4},{"info":"compute unary expreesion, input=4056, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4924","layer":3},{"info":"compute unary expreesion, input=4924, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14772","layer":2},{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1060","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=3115, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1060, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14772, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2620","layer":4},{"info":"compute unary expreesion, input=2620, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1810, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=19, 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=1559","layer":4},{"info":"compute unary expreesion, input=1559, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1631","layer":4},{"info":"compute unary expreesion, input=1631, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=99787842","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=99787842, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋗⩬⋾(∥⊫⫖↰⪸2420))⊭↱((≤/⫖↰⪸A88)⊉≛↸⫖↰⪸1025⫥∨⫟⫖↰⪸1977))⫥∨⫟((↥⫖↰⪸1624)⨐⩸⫘⫖↰⪸876⪢⫖↰⪸106A⋷(⫛⫱⨽⫖↰⪸A9B)⨓(⫖↰⪸B3B↪⪝))=NaN","reverse_text":"NaN=((⋗⩬⋾(∥⊫⫖↰⪸2420))⊭↱((≤/⫖↰⪸A88)⊉≛↸⫖↰⪸1025⫥∨⫟⫖↰⪸1977))⫥∨⫟((↥⫖↰⪸1624)⨐⩸⫘⫖↰⪸876⪢⫖↰⪸106A⋷(⫛⫱⨽⫖↰⪸A9B)⨓(⫖↰⪸B3B↪⪝))","cot":[{"info":"∥⊫⫖↰⪸2420=⫖↰⪸2A24","layer":3},{"info":"⋗⩬⋾⫖↰⪸2A24=⫖↰⪸-8670","layer":2},{"info":"≤/⫖↰⪸A88=⫖↰⪸-744","layer":3},{"info":"⫖↰⪸1025⫥∨⫟⫖↰⪸1977=NaN","layer":3},{"info":"⫖↰⪸-744⊉≛↸NaN=NaN","layer":2},{"info":"⫖↰⪸-8670⊭↱NaN=NaN","layer":1},{"info":"↥⫖↰⪸1624=⫖↰⪸17","layer":3},{"info":"⫖↰⪸876⪢⫖↰⪸106A=NaN","layer":3},{"info":"⫖↰⪸17⨐⩸⫘NaN=NaN","layer":2},{"info":"⫛⫱⨽⫖↰⪸A9B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B3B↪⪝=⫖↰⪸29503716","layer":3},{"info":"⫖↰⪸0⨓⫖↰⪸29503716=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"((≦∁$1746$⪢$2161$)≦≮≮)⩨((⪝⪂⫅(≉$5238$))*(∂$2956$⇷$4963$))","expression":"((≦∁⫖↰⪸1016⪢⫖↰⪸1301)≦≮≮)⩨((⪝⪂⫅(≉⫖↰⪸3046))*(∂⫖↰⪸1864⇷⫖↰⪸2A57))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":43713,"operation_count":9,"complexity_ratio":4857.0,"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":1746,"base":12},"right_expr":{"type":"numeric_atoms","value":2161,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5238,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2956,"base":12},"right_expr":{"type":"numeric_atoms","value":4963,"base":12}}}}},"used_operators":["2DlMacCsIx","D4vGDi5EA2","9ICcGScMcE","dWAJyo7jo9","9HNa5Wba9A","XTarYq4gQB","e1ybzncUwg","Uaa54Peajs","mp7IySMOzn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=2161, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=5238","layer":4},{"info":"compute unary expreesion, input=5238, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5769","layer":3},{"info":"compute unary expreesion, input=5769, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-848043","layer":2},{"info":"number node, value=2956","layer":4},{"info":"number node, value=4963","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=4963, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9926","layer":3},{"info":"compute unary expreesion, input=9926, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-848043, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≦∁⫖↰⪸1016⪢⫖↰⪸1301)≦≮≮)⩨((⪝⪂⫅(≉⫖↰⪸3046))*(∂⫖↰⪸1864⇷⫖↰⪸2A57))=NaN","reverse_text":"NaN=((≦∁⫖↰⪸1016⪢⫖↰⪸1301)≦≮≮)⩨((⪝⪂⫅(≉⫖↰⪸3046))*(∂⫖↰⪸1864⇷⫖↰⪸2A57))","cot":[{"info":"⫖↰⪸1016⪢⫖↰⪸1301=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"≉⫖↰⪸3046=⫖↰⪸3409","layer":3},{"info":"⪝⪂⫅⫖↰⪸3409=⫖↰⪸-34A923","layer":2},{"info":"⫖↰⪸1864⇷⫖↰⪸2A57=⫖↰⪸58B2","layer":3},{"info":"∂⫖↰⪸58B2=NaN","layer":2},{"info":"⫖↰⪸-34A923*NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"((↩$1087$)⩠)⋓($2932$⨵⪆$4627$)⇷($1138$⫥∨⫟$1307$)⫸⊐(⇁⨣⪵($1707$↺$1331$)⨐⩸⫘$8826$≹⇙⪍$7128$)","expression":"((↩⫖↰⪸767)⩠)⋓(⫖↰⪸1844⨵⪆⫖↰⪸2817)⇷(⫖↰⪸7AA⫥∨⫟⫖↰⪸90B)⫸⊐(⇁⨣⪵(⫖↰⪸BA3↺⫖↰⪸92B)⨐⩸⫘⫖↰⪸5136≹⇙⪍⫖↰⪸4160)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2456,"operation_count":11,"complexity_ratio":223.27272727272728,"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":1087,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2932,"base":12},"right_expr":{"type":"numeric_atoms","value":4627,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":1307,"base":12}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1707,"base":12},"right_expr":{"type":"numeric_atoms","value":1331,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8826,"base":12},"right_expr":{"type":"numeric_atoms","value":7128,"base":12}}}}},"used_operators":["mqXw5SEYmG","T2fj7uvVaJ","sJAwomhLZr","jLgFTUHLKL","mp7IySMOzn","2DQ55sFlQl","KYD54nUTWz","inkyxCbjAn","fu6greOZ01","7j4O788W3g","AHs5Up7iyr"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":4},{"info":"compute unary expreesion, input=1087, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5916","layer":3},{"info":"compute unary expreesion, input=-5916, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=23873","layer":2},{"info":"number node, value=2932","layer":4},{"info":"number node, value=4627","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=4627, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1307, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23873, 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=1707","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1331, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1331","layer":3},{"info":"number node, value=8826","layer":4},{"info":"number node, value=7128","layer":4},{"info":"compute binary expreesion, left_input=8826, right_input=7128, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1331, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↩⫖↰⪸767)⩠)⋓(⫖↰⪸1844⨵⪆⫖↰⪸2817)⇷(⫖↰⪸7AA⫥∨⫟⫖↰⪸90B)⫸⊐(⇁⨣⪵(⫖↰⪸BA3↺⫖↰⪸92B)⨐⩸⫘⫖↰⪸5136≹⇙⪍⫖↰⪸4160)=NaN","reverse_text":"NaN=((↩⫖↰⪸767)⩠)⋓(⫖↰⪸1844⨵⪆⫖↰⪸2817)⇷(⫖↰⪸7AA⫥∨⫟⫖↰⪸90B)⫸⊐(⇁⨣⪵(⫖↰⪸BA3↺⫖↰⪸92B)⨐⩸⫘⫖↰⪸5136≹⇙⪍⫖↰⪸4160)","cot":[{"info":"↩⫖↰⪸767=⫖↰⪸-3510","layer":3},{"info":"⫖↰⪸-3510⩠=⫖↰⪸11995","layer":2},{"info":"⫖↰⪸1844⨵⪆⫖↰⪸2817=⫖↰⪸114","layer":3},{"info":"⫖↰⪸7AA⫥∨⫟⫖↰⪸90B=NaN","layer":3},{"info":"⫖↰⪸114⇷NaN=NaN","layer":2},{"info":"⫖↰⪸11995⋓NaN=NaN","layer":1},{"info":"⫖↰⪸BA3↺⫖↰⪸92B=⫖↰⪸92B","layer":3},{"info":"⫖↰⪸5136≹⇙⪍⫖↰⪸4160=NaN","layer":3},{"info":"⫖↰⪸92B⨐⩸⫘NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"($2616$⪄$2270$)⪛($2148$≭$1495$)∑⇟⊟(⫓⪴(⨞⊢$1947$))⨎($2220$∑⇟⊟$1388$⇼⇔∾$3752$⇷$3044$)≭($1026$⨓$3625$)⪘⫢$3534$⨪↰⇹$3258$","expression":"(⫖↰⪸1620⪄⫖↰⪸1392)⪛(⫖↰⪸12B0≭⫖↰⪸A47)∑⇟⊟(⫓⪴(⨞⊢⫖↰⪸1163))⨎(⫖↰⪸1350∑⇟⊟⫖↰⪸978⇼⇔∾⫖↰⪸2208⇷⫖↰⪸1918)≭(⫖↰⪸716⨓⫖↰⪸2121)⪘⫢⫖↰⪸2066⨪↰⇹⫖↰⪸1A76","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62420,"operation_count":14,"complexity_ratio":4458.571428571428,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2616,"base":12},"right_expr":{"type":"numeric_atoms","value":2270,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2148,"base":12},"right_expr":{"type":"numeric_atoms","value":1495,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1947,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2220,"base":12},"right_expr":{"type":"numeric_atoms","value":1388,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3752,"base":12},"right_expr":{"type":"numeric_atoms","value":3044,"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":3625,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3534,"base":12},"right_expr":{"type":"numeric_atoms","value":3258,"base":12}}}}},"used_operators":["rJVOvQCfKK","U7g4x0WXJJ","uFcxV4UQCh","SUmda5xLS4","rxpJgHHUmx","eLxqMNBOBk","xUOZtlo3hN","tifHPKVTfV","mp7IySMOzn","oacrs7FA3X","3ViojmjbAp","tmPS8pqC7x"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2616","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=2616, right_input=2270, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-392337","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=1495, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-392337, 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=1947","layer":4},{"info":"compute unary expreesion, input=1947, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2121","layer":3},{"info":"compute unary expreesion, input=-2121, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4498641","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4498641, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2220","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=1388, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3752","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=3752, right_input=3044, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6088","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6088, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=3625, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3628","layer":3},{"info":"number node, value=3534","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=3258, 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=3534","layer":3},{"info":"compute binary expreesion, left_input=-3628, right_input=3534, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":"(⫖↰⪸1620⪄⫖↰⪸1392)⪛(⫖↰⪸12B0≭⫖↰⪸A47)∑⇟⊟(⫓⪴(⨞⊢⫖↰⪸1163))⨎(⫖↰⪸1350∑⇟⊟⫖↰⪸978⇼⇔∾⫖↰⪸2208⇷⫖↰⪸1918)≭(⫖↰⪸716⨓⫖↰⪸2121)⪘⫢⫖↰⪸2066⨪↰⇹⫖↰⪸1A76=NaN","reverse_text":"NaN=(⫖↰⪸1620⪄⫖↰⪸1392)⪛(⫖↰⪸12B0≭⫖↰⪸A47)∑⇟⊟(⫓⪴(⨞⊢⫖↰⪸1163))⨎(⫖↰⪸1350∑⇟⊟⫖↰⪸978⇼⇔∾⫖↰⪸2208⇷⫖↰⪸1918)≭(⫖↰⪸716⨓⫖↰⪸2121)⪘⫢⫖↰⪸2066⨪↰⇹⫖↰⪸1A76","cot":[{"info":"⫖↰⪸1620⪄⫖↰⪸1392=⫖↰⪸-16B069","layer":3},{"info":"⫖↰⪸12B0≭⫖↰⪸A47=NaN","layer":3},{"info":"⫖↰⪸-16B069⪛NaN=NaN","layer":2},{"info":"⨞⊢⫖↰⪸1163=⫖↰⪸-1289","layer":3},{"info":"⫓⪴⫖↰⪸-1289=⫖↰⪸160B469","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸160B469=NaN","layer":1},{"info":"⫖↰⪸1350∑⇟⊟⫖↰⪸978=NaN","layer":3},{"info":"⫖↰⪸2208⇷⫖↰⪸1918=⫖↰⪸3634","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸3634=NaN","layer":2},{"info":"⫖↰⪸716⨓⫖↰⪸2121=⫖↰⪸-2124","layer":3},{"info":"⫖↰⪸2066⨪↰⇹⫖↰⪸1A76=⫖↰⪸2066","layer":3},{"info":"⫖↰⪸-2124⪘⫢⫖↰⪸2066=⫖↰⪸-1","layer":2},{"info":"NaN≭⫖↰⪸-1=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"((($1948$∑⇟⊟$8888$)∧)⋝⋈⪟($1447$≎⊠⪸$3963$⊘))∑⇟⊟(((⨑⩽⪐$1479$)⨳⩥⨓$4448$≎⊠⪸$2998$)⊭∹↮)","expression":"(((⫖↰⪸1164∑⇟⊟⫖↰⪸5188)∧)⋝⋈⪟(⫖↰⪸A07≎⊠⪸⫖↰⪸2363⊘))∑⇟⊟(((⨑⩽⪐⫖↰⪸A33)⨳⩥⨓⫖↰⪸26A8≎⊠⪸⫖↰⪸189A)⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":585,"operation_count":10,"complexity_ratio":58.5,"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":1948,"base":12},"right_expr":{"type":"numeric_atoms","value":8888,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1447,"base":12},"right_expr":{"type":"numeric_atoms","value":3963,"base":12}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1479,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4448,"base":12},"right_expr":{"type":"numeric_atoms","value":2998,"base":12}}}}},"used_operators":["U7g4x0WXJJ","2DDjHMKMc0","z63VuFQld9","gu96TGCTMs","bJkvcejdHO","xNBdhnnwKq","nCS4ZIUYfx","AF7qkfDlqP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1948","layer":4},{"info":"number node, value=8888","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=8888, 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 = 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=1447","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=3963, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=374300","layer":3},{"info":"compute unary expreesion, input=374300, 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=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1206","layer":3},{"info":"number node, value=4448","layer":4},{"info":"number node, value=2998","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=2998, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1151559","layer":3},{"info":"compute binary expreesion, left_input=-1206, right_input=1151559, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1152765","layer":2},{"info":"compute unary expreesion, input=1152765, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2305530","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2305530, 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":"(((⫖↰⪸1164∑⇟⊟⫖↰⪸5188)∧)⋝⋈⪟(⫖↰⪸A07≎⊠⪸⫖↰⪸2363⊘))∑⇟⊟(((⨑⩽⪐⫖↰⪸A33)⨳⩥⨓⫖↰⪸26A8≎⊠⪸⫖↰⪸189A)⊭∹↮)=NaN","reverse_text":"NaN=(((⫖↰⪸1164∑⇟⊟⫖↰⪸5188)∧)⋝⋈⪟(⫖↰⪸A07≎⊠⪸⫖↰⪸2363⊘))∑⇟⊟(((⨑⩽⪐⫖↰⪸A33)⨳⩥⨓⫖↰⪸26A8≎⊠⪸⫖↰⪸189A)⊭∹↮)","cot":[{"info":"⫖↰⪸1164∑⇟⊟⫖↰⪸5188=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫖↰⪸A07≎⊠⪸⫖↰⪸2363=⫖↰⪸160738","layer":3},{"info":"⫖↰⪸160738⊘=⫖↰⪸0","layer":2},{"info":"NaN⋝⋈⪟⫖↰⪸0=NaN","layer":1},{"info":"⨑⩽⪐⫖↰⪸A33=⫖↰⪸-846","layer":3},{"info":"⫖↰⪸26A8≎⊠⪸⫖↰⪸189A=⫖↰⪸4764B3","layer":3},{"info":"⫖↰⪸-846⨳⩥⨓⫖↰⪸4764B3=⫖↰⪸477139","layer":2},{"info":"⫖↰⪸477139⊭∹↮=⫖↰⪸932276","layer":1},{"info":"NaN∑⇟⊟⫖↰⪸932276=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"(($1090$⨰$1490$⊘)↛⩡⫤)⨪↰⇹(((↯⪼$1054$)*(≤/$1207$))⋓(($1181$⋷$1434$)⨰$1088$≹⇙⪍$3922$))","expression":"((⫖↰⪸76A⨰⫖↰⪸A42⊘)↛⩡⫤)⨪↰⇹(((↯⪼⫖↰⪸73A)*(≤/⫖↰⪸847))⋓((⫖↰⪸825⋷⫖↰⪸9B6)⨰⫖↰⪸768≹⇙⪍⫖↰⪸232A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":171,"operation_count":11,"complexity_ratio":15.545454545454545,"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":1490,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1054,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1207,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1181,"base":12},"right_expr":{"type":"numeric_atoms","value":1434,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1088,"base":12},"right_expr":{"type":"numeric_atoms","value":3922,"base":12}}}}},"used_operators":["tmPS8pqC7x","FU0Cs4j7VP","gu96TGCTMs","eewbuw0ToL","T2fj7uvVaJ","9HNa5Wba9A","8jW3W4yZS5","eLAdDNolq6","23Mk6UjR3U","AHs5Up7iyr"],"dependent_operators":["rJVOvQCfKK","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1490, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-390","layer":3},{"info":"compute unary expreesion, input=-390, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":1},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, 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=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-723","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-723, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15183","layer":2},{"info":"number node, value=1181","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=1434, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1687","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=3922, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1687, 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=15183, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸76A⨰⫖↰⪸A42⊘)↛⩡⫤)⨪↰⇹(((↯⪼⫖↰⪸73A)*(≤/⫖↰⪸847))⋓((⫖↰⪸825⋷⫖↰⪸9B6)⨰⫖↰⪸768≹⇙⪍⫖↰⪸232A))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸76A⨰⫖↰⪸A42⊘)↛⩡⫤)⨪↰⇹(((↯⪼⫖↰⪸73A)*(≤/⫖↰⪸847))⋓((⫖↰⪸825⋷⫖↰⪸9B6)⨰⫖↰⪸768≹⇙⪍⫖↰⪸232A))","cot":[{"info":"⫖↰⪸76A⨰⫖↰⪸A42=⫖↰⪸-286","layer":3},{"info":"⫖↰⪸-286⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0↛⩡⫤=⫖↰⪸0","layer":1},{"info":"↯⪼⫖↰⪸73A=⫖↰⪸-19","layer":3},{"info":"≤/⫖↰⪸847=⫖↰⪸-503","layer":3},{"info":"⫖↰⪸-19*⫖↰⪸-503=⫖↰⪸8953","layer":2},{"info":"⫖↰⪸825⋷⫖↰⪸9B6=⫖↰⪸B87","layer":3},{"info":"⫖↰⪸768≹⇙⪍⫖↰⪸232A=NaN","layer":3},{"info":"⫖↰⪸B87⨰NaN=NaN","layer":2},{"info":"⫖↰⪸8953⋓NaN=NaN","layer":1},{"info":"⫖↰⪸0⨪↰⇹NaN=⫖↰⪸0","layer":0}]}
{"id":770,"expression_no_base_symbol":"((⋗⩬⋾$6833$+⇶⊼$5270$)↺($1696$∲⫓$3696$/$5581$∲⫓$3512$))⩚⊴⇥($3641$⫸⊐$1210$/(⨞⊢$2347$)+(⊙↵-(∂$1015$)))","expression":"((⋗⩬⋾⫖↰⪸3B55+⇶⊼⫖↰⪸3072)↺(⫖↰⪸B94∲⫓⫖↰⪸2180/⫖↰⪸3291∲⫓⫖↰⪸2048))⩚⊴⇥(⫖↰⪸2135⫸⊐⫖↰⪸84A/(⨞⊢⫖↰⪸1437)+(⊙↵-(∂⫖↰⪸707)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":70,"operation_count":13,"complexity_ratio":5.384615384615385,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6833,"base":12},"right_expr":{"type":"numeric_atoms","value":5270,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1696,"base":12},"right_expr":{"type":"numeric_atoms","value":3696,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5581,"base":12},"right_expr":{"type":"numeric_atoms","value":3512,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3641,"base":12},"right_expr":{"type":"numeric_atoms","value":1210,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2347,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}}}}},"used_operators":["NTOWxs364D","7j4O788W3g","DpFCA1CohY","TpPTUOHfaN","XhwjNDsVaA","i8ToyICDmI","W4YGzv6Whe","mqXw5SEYmG","xUOZtlo3hN","oWn0xqSxBt","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6833","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=6833, right_input=5270, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=3696","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=3696, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5581","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=5581, right_input=3512, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=3641","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=1210, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4715","layer":3},{"info":"number node, value=2347","layer":4},{"info":"compute unary expreesion, input=2347, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2521","layer":3},{"info":"compute binary expreesion, left_input=4715, right_input=-2521, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋗⩬⋾⫖↰⪸3B55+⇶⊼⫖↰⪸3072)↺(⫖↰⪸B94∲⫓⫖↰⪸2180/⫖↰⪸3291∲⫓⫖↰⪸2048))⩚⊴⇥(⫖↰⪸2135⫸⊐⫖↰⪸84A/(⨞⊢⫖↰⪸1437)+(⊙↵-(∂⫖↰⪸707)))=NaN","reverse_text":"NaN=((⋗⩬⋾⫖↰⪸3B55+⇶⊼⫖↰⪸3072)↺(⫖↰⪸B94∲⫓⫖↰⪸2180/⫖↰⪸3291∲⫓⫖↰⪸2048))⩚⊴⇥(⫖↰⪸2135⫸⊐⫖↰⪸84A/(⨞⊢⫖↰⪸1437)+(⊙↵-(∂⫖↰⪸707)))","cot":[{"info":"⫖↰⪸3B55+⇶⊼⫖↰⪸3072=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫖↰⪸B94∲⫓⫖↰⪸2180=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3291∲⫓⫖↰⪸2048=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0/⫖↰⪸0=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⫖↰⪸2135⫸⊐⫖↰⪸84A=⫖↰⪸288B","layer":3},{"info":"⨞⊢⫖↰⪸1437=⫖↰⪸-1561","layer":3},{"info":"⫖↰⪸288B/⫖↰⪸-1561=⫖↰⪸-2","layer":2},{"info":"∂⫖↰⪸707=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫖↰⪸-2+NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"(⊥($1869$⨁⊸⫻))⪘⫢($8817$≧⫂∧$2920$⋳⪒($1063$⇼⇔∾$2006$))≫≃","expression":"(⊥(⫖↰⪸10B9⨁⊸⫻))⪘⫢(⫖↰⪸5129≧⫂∧⫖↰⪸1834⋳⪒(⫖↰⪸747⇼⇔∾⫖↰⪸11B2))≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":28,"operation_count":7,"complexity_ratio":4.0,"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":1869,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8817,"base":12},"right_expr":{"type":"numeric_atoms","value":2920,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":2006,"base":12}}}}},"used_operators":["X99M06cbEe","oacrs7FA3X","Q3PJZHRvZv","glklzrTFfD","12rbrZMWeM","Ph9nP6C5qx","tifHPKVTfV"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1869","layer":3},{"info":"compute unary expreesion, input=1869, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=8817","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=8817, right_input=2920, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2447","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2006, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=943","layer":3},{"info":"compute binary expreesion, left_input=2447, right_input=943, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3664","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3664, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊥(⫖↰⪸10B9⨁⊸⫻))⪘⫢(⫖↰⪸5129≧⫂∧⫖↰⪸1834⋳⪒(⫖↰⪸747⇼⇔∾⫖↰⪸11B2))≫≃=NaN","reverse_text":"NaN=(⊥(⫖↰⪸10B9⨁⊸⫻))⪘⫢(⫖↰⪸5129≧⫂∧⫖↰⪸1834⋳⪒(⫖↰⪸747⇼⇔∾⫖↰⪸11B2))≫≃","cot":[{"info":"⫖↰⪸10B9⨁⊸⫻=⫖↰⪸10B9","layer":3},{"info":"⊥⫖↰⪸10B9=NaN","layer":2},{"info":"⫖↰⪸5129≧⫂∧⫖↰⪸1834=⫖↰⪸14BB","layer":3},{"info":"⫖↰⪸747⇼⇔∾⫖↰⪸11B2=⫖↰⪸667","layer":3},{"info":"⫖↰⪸14BB⋳⪒⫖↰⪸667=⫖↰⪸2154","layer":2},{"info":"NaN⪘⫢⫖↰⪸2154=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"(↥$1318$⪘⫢$4695$)⪄(⇁⨣⪵$1081$∑⇟⊟$3140$)↪⪝","expression":"(↥⫖↰⪸91A⪘⫢⫖↰⪸2873)⪄(⇁⨣⪵⫖↰⪸761∑⇟⊟⫖↰⪸1998)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106,"operation_count":6,"complexity_ratio":17.666666666666668,"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":1318,"base":12},"right_expr":{"type":"numeric_atoms","value":4695,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1081,"base":12},"right_expr":{"type":"numeric_atoms","value":3140,"base":12}}}}},"used_operators":["l07mrZUIn9","SUmda5xLS4","A8NUZmVepG","oacrs7FA3X","inkyxCbjAn","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"number node, value=4695","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=4695, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2512","layer":3},{"info":"compute unary expreesion, input=2512, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=3140, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↥⫖↰⪸91A⪘⫢⫖↰⪸2873)⪄(⇁⨣⪵⫖↰⪸761∑⇟⊟⫖↰⪸1998)↪⪝=NaN","reverse_text":"NaN=(↥⫖↰⪸91A⪘⫢⫖↰⪸2873)⪄(⇁⨣⪵⫖↰⪸761∑⇟⊟⫖↰⪸1998)↪⪝","cot":[{"info":"⫖↰⪸91A⪘⫢⫖↰⪸2873=⫖↰⪸1554","layer":3},{"info":"↥⫖↰⪸1554=⫖↰⪸11","layer":2},{"info":"⫖↰⪸761∑⇟⊟⫖↰⪸1998=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⫖↰⪸11⪄NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"(($2135$*$1086$)↙$1377$⩚⊴⇥$6913$/(⪲⇎$1100$)⪄$2152$≭$2336$)⋓(($8731$∼$1154$-$1804$⩨$3976$)⪄($4142$⊭↱$2162$)⪄$3068$⩚⊴⇥$2381$)","expression":"((⫖↰⪸129B*⫖↰⪸766)↙⫖↰⪸969⩚⊴⇥⫖↰⪸4001/(⪲⇎⫖↰⪸778)⪄⫖↰⪸12B4≭⫖↰⪸1428)⋓((⫖↰⪸5077∼⫖↰⪸802-⫖↰⪸1064⩨⫖↰⪸2374)⪄(⫖↰⪸2492⊭↱⫖↰⪸1302)⪄⫖↰⪸1938⩚⊴⇥⫖↰⪸1465)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9916,"operation_count":15,"complexity_ratio":661.0666666666667,"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":2135,"base":12},"right_expr":{"type":"numeric_atoms","value":1086,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1377,"base":12},"right_expr":{"type":"numeric_atoms","value":6913,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1100,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2152,"base":12},"right_expr":{"type":"numeric_atoms","value":2336,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8731,"base":12},"right_expr":{"type":"numeric_atoms","value":1154,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1804,"base":12},"right_expr":{"type":"numeric_atoms","value":3976,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4142,"base":12},"right_expr":{"type":"numeric_atoms","value":2162,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3068,"base":12},"right_expr":{"type":"numeric_atoms","value":2381,"base":12}}}}},"used_operators":["T2fj7uvVaJ","XhwjNDsVaA","yyfyN0ffXY","9HNa5Wba9A","NTOWxs364D","SUmda5xLS4","XPYlsWDdGa","rxpJgHHUmx","rysDP5nf3Z","DyGG3AbaNP","2DlMacCsIx","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2135","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=1086, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2318610","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=6913","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=6913, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8411","layer":3},{"info":"compute binary expreesion, left_input=2318610, right_input=-8411, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25233","layer":2},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2200","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=2336, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2200, 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=-25233, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=8731","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=8731, right_input=1154, 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=1804","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3976, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4142","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=2162, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3955","layer":3},{"info":"number node, value=3068","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=2381, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5570","layer":3},{"info":"compute binary expreesion, left_input=-3955, right_input=-5570, 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 = 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸129B*⫖↰⪸766)↙⫖↰⪸969⩚⊴⇥⫖↰⪸4001/(⪲⇎⫖↰⪸778)⪄⫖↰⪸12B4≭⫖↰⪸1428)⋓((⫖↰⪸5077∼⫖↰⪸802-⫖↰⪸1064⩨⫖↰⪸2374)⪄(⫖↰⪸2492⊭↱⫖↰⪸1302)⪄⫖↰⪸1938⩚⊴⇥⫖↰⪸1465)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸129B*⫖↰⪸766)↙⫖↰⪸969⩚⊴⇥⫖↰⪸4001/(⪲⇎⫖↰⪸778)⪄⫖↰⪸12B4≭⫖↰⪸1428)⋓((⫖↰⪸5077∼⫖↰⪸802-⫖↰⪸1064⩨⫖↰⪸2374)⪄(⫖↰⪸2492⊭↱⫖↰⪸1302)⪄⫖↰⪸1938⩚⊴⇥⫖↰⪸1465)","cot":[{"info":"⫖↰⪸129B*⫖↰⪸766=⫖↰⪸939956","layer":3},{"info":"⫖↰⪸969⩚⊴⇥⫖↰⪸4001=⫖↰⪸-4A4B","layer":3},{"info":"⫖↰⪸939956↙⫖↰⪸-4A4B=⫖↰⪸-12729","layer":2},{"info":"⪲⇎⫖↰⪸778=⫖↰⪸1334","layer":3},{"info":"⫖↰⪸12B4≭⫖↰⪸1428=NaN","layer":3},{"info":"⫖↰⪸1334⪄NaN=NaN","layer":2},{"info":"⫖↰⪸-12729/NaN=NaN","layer":1},{"info":"⫖↰⪸5077∼⫖↰⪸802=NaN","layer":3},{"info":"⫖↰⪸1064⩨⫖↰⪸2374=⫖↰⪸-6","layer":3},{"info":"NaN-⫖↰⪸-6=NaN","layer":2},{"info":"⫖↰⪸2492⊭↱⫖↰⪸1302=⫖↰⪸-2357","layer":3},{"info":"⫖↰⪸1938⩚⊴⇥⫖↰⪸1465=⫖↰⪸-3282","layer":3},{"info":"⫖↰⪸-2357⪄⫖↰⪸-3282=⫖↰⪸2377","layer":2},{"info":"NaN⪄⫖↰⪸2377=⫖↰⪸2377","layer":1},{"info":"NaN⋓⫖↰⪸2377=⫖↰⪸0","layer":0}]}
{"id":774,"expression_no_base_symbol":"((⨈⫕$4107$)⨰(↯⪼$2698$)⋫)⨸⪁(($4197$-$5035$)⩨$1550$≎⊠⪸$8096$⋷($3813$≎⊠⪸$5503$)⨰($1349$≫≃))","expression":"((⨈⫕⫖↰⪸2463)⨰(↯⪼⫖↰⪸168A)⋫)⨸⪁((⫖↰⪸2519-⫖↰⪸2AB7)⩨⫖↰⪸A92≎⊠⪸⫖↰⪸4828⋷(⫖↰⪸2259≎⊠⪸⫖↰⪸3227)⨰(⫖↰⪸945≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1474,"operation_count":12,"complexity_ratio":122.83333333333333,"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":4107,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2698,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4197,"base":12},"right_expr":{"type":"numeric_atoms","value":5035,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1550,"base":12},"right_expr":{"type":"numeric_atoms","value":8096,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3813,"base":12},"right_expr":{"type":"numeric_atoms","value":5503,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1349,"base":12}}}}},"used_operators":["g55IO6H4Gj","JL8yIekQnl","eewbuw0ToL","megm06wKyl","8jW3W4yZS5","23Mk6UjR3U","2DlMacCsIx","rysDP5nf3Z","bJkvcejdHO","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸13959A6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4107","layer":4},{"info":"compute unary expreesion, input=4107, 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=2698","layer":4},{"info":"compute unary expreesion, input=2698, 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=-21, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":2},{"info":"compute unary expreesion, input=10, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=10","layer":1},{"info":"number node, value=4197","layer":4},{"info":"number node, value=5035","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=5035, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-838","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=8096","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=8096, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=400977","layer":3},{"info":"compute binary expreesion, left_input=-838, right_input=400977, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=1437","layer":2},{"info":"number node, value=3813","layer":4},{"info":"number node, value=5503","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=5503, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=987094","layer":3},{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4099","layer":3},{"info":"compute binary expreesion, left_input=987094, right_input=4099, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=983005","layer":2},{"info":"compute binary expreesion, left_input=1437, right_input=983005, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1964573","layer":1},{"info":"compute binary expreesion, left_input=10, right_input=1964573, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3929166","layer":0}],"base":12,"result_base":12,"text":"((⨈⫕⫖↰⪸2463)⨰(↯⪼⫖↰⪸168A)⋫)⨸⪁((⫖↰⪸2519-⫖↰⪸2AB7)⩨⫖↰⪸A92≎⊠⪸⫖↰⪸4828⋷(⫖↰⪸2259≎⊠⪸⫖↰⪸3227)⨰(⫖↰⪸945≫≃))=⫖↰⪸13959A6","reverse_text":"⫖↰⪸13959A6=((⨈⫕⫖↰⪸2463)⨰(↯⪼⫖↰⪸168A)⋫)⨸⪁((⫖↰⪸2519-⫖↰⪸2AB7)⩨⫖↰⪸A92≎⊠⪸⫖↰⪸4828⋷(⫖↰⪸2259≎⊠⪸⫖↰⪸3227)⨰(⫖↰⪸945≫≃))","cot":[{"info":"⨈⫕⫖↰⪸2463=⫖↰⪸-19","layer":3},{"info":"↯⪼⫖↰⪸168A=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19⨰⫖↰⪸-19=⫖↰⪸A","layer":2},{"info":"⫖↰⪸A⋫=⫖↰⪸A","layer":1},{"info":"⫖↰⪸2519-⫖↰⪸2AB7=⫖↰⪸-59A","layer":3},{"info":"⫖↰⪸A92≎⊠⪸⫖↰⪸4828=⫖↰⪸174069","layer":3},{"info":"⫖↰⪸-59A⩨⫖↰⪸174069=⫖↰⪸9B9","layer":2},{"info":"⫖↰⪸2259≎⊠⪸⫖↰⪸3227=⫖↰⪸3B729A","layer":3},{"info":"⫖↰⪸945≫≃=⫖↰⪸2457","layer":3},{"info":"⫖↰⪸3B729A⨰⫖↰⪸2457=⫖↰⪸3B4A51","layer":2},{"info":"⫖↰⪸9B9⋷⫖↰⪸3B4A51=⫖↰⪸7A8AA5","layer":1},{"info":"⫖↰⪸A⨸⪁⫖↰⪸7A8AA5=⫖↰⪸13959A6","layer":0}]}
{"id":775,"expression_no_base_symbol":"($1862$/$1481$+$1779$⋥≓≎$5579$)⨓(($2536$⋷$7091$)≫≃)≎⊠⪸(($1377$≎⊠⪸$4717$)⨟⋌⩍($5653$∲⫓$3569$)⫸⊐$2167$+⇶⊼$1202$+⇶⊼(↽≂$2312$))","expression":"(⫖↰⪸10B2/⫖↰⪸A35+⫖↰⪸1043⋥≓≎⫖↰⪸328B)⨓((⫖↰⪸1574⋷⫖↰⪸412B)≫≃)≎⊠⪸((⫖↰⪸969≎⊠⪸⫖↰⪸2891)⨟⋌⩍(⫖↰⪸3331∲⫓⫖↰⪸2095)⫸⊐⫖↰⪸1307+⇶⊼⫖↰⪸842+⇶⊼(↽≂⫖↰⪸1408))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25026,"operation_count":14,"complexity_ratio":1787.5714285714287,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1862,"base":12},"right_expr":{"type":"numeric_atoms","value":1481,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1779,"base":12},"right_expr":{"type":"numeric_atoms","value":5579,"base":12}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2536,"base":12},"right_expr":{"type":"numeric_atoms","value":7091,"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":4717,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5653,"base":12},"right_expr":{"type":"numeric_atoms","value":3569,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2167,"base":12},"right_expr":{"type":"numeric_atoms","value":1202,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2312,"base":12}}}}},"used_operators":["bJkvcejdHO","3ViojmjbAp","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","X99M06cbEe","23Mk6UjR3U","mqXw5SEYmG","rGHVDoGpnC","i8ToyICDmI","TpPTUOHfaN","u6S6b8DprG"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1862","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=1481, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1779","layer":4},{"info":"number node, value=5579","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=5579, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9412","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=9412, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9413","layer":2},{"info":"number node, value=2536","layer":4},{"info":"number node, value=7091","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=7091, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11646","layer":3},{"info":"compute unary expreesion, input=11646, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=24693","layer":2},{"info":"compute binary expreesion, left_input=9413, right_input=24693, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-24696","layer":1},{"info":"number node, value=1377","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=4717, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=356170","layer":3},{"info":"number node, value=5653","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=5653, right_input=3569, 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=356170, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=356170","layer":2},{"info":"number node, value=2167","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1202, 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=2312","layer":4},{"info":"compute unary expreesion, input=2312, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4624, 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=356170, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-24696, 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":"(⫖↰⪸10B2/⫖↰⪸A35+⫖↰⪸1043⋥≓≎⫖↰⪸328B)⨓((⫖↰⪸1574⋷⫖↰⪸412B)≫≃)≎⊠⪸((⫖↰⪸969≎⊠⪸⫖↰⪸2891)⨟⋌⩍(⫖↰⪸3331∲⫓⫖↰⪸2095)⫸⊐⫖↰⪸1307+⇶⊼⫖↰⪸842+⇶⊼(↽≂⫖↰⪸1408))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸10B2/⫖↰⪸A35+⫖↰⪸1043⋥≓≎⫖↰⪸328B)⨓((⫖↰⪸1574⋷⫖↰⪸412B)≫≃)≎⊠⪸((⫖↰⪸969≎⊠⪸⫖↰⪸2891)⨟⋌⩍(⫖↰⪸3331∲⫓⫖↰⪸2095)⫸⊐⫖↰⪸1307+⇶⊼⫖↰⪸842+⇶⊼(↽≂⫖↰⪸1408))","cot":[{"info":"⫖↰⪸10B2/⫖↰⪸A35=⫖↰⪸1","layer":3},{"info":"⫖↰⪸1043⋥≓≎⫖↰⪸328B=⫖↰⪸5544","layer":3},{"info":"⫖↰⪸1+⫖↰⪸5544=⫖↰⪸5545","layer":2},{"info":"⫖↰⪸1574⋷⫖↰⪸412B=⫖↰⪸68A6","layer":3},{"info":"⫖↰⪸68A6≫≃=⫖↰⪸12359","layer":2},{"info":"⫖↰⪸5545⨓⫖↰⪸12359=⫖↰⪸-12360","layer":1},{"info":"⫖↰⪸969≎⊠⪸⫖↰⪸2891=⫖↰⪸15214A","layer":3},{"info":"⫖↰⪸3331∲⫓⫖↰⪸2095=⫖↰⪸0","layer":3},{"info":"⫖↰⪸15214A⨟⋌⩍⫖↰⪸0=⫖↰⪸15214A","layer":2},{"info":"⫖↰⪸1307+⇶⊼⫖↰⪸842=NaN","layer":3},{"info":"↽≂⫖↰⪸1408=⫖↰⪸-2814","layer":3},{"info":"NaN+⇶⊼⫖↰⪸-2814=NaN","layer":2},{"info":"⫖↰⪸15214A⫸⊐NaN=NaN","layer":1},{"info":"⫖↰⪸-12360≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":776,"expression_no_base_symbol":"(≦∁($3484$%$1599$)*($1651$⩨$1408$))⨳⩥⨓(($1929$⩤)⩷∴$5200$⪘⫢$1205$↺($4732$/$1578$)⪢(⨞⊢$3502$))","expression":"(≦∁(⫖↰⪸2024%⫖↰⪸B13)*(⫖↰⪸B57⩨⫖↰⪸994))⨳⩥⨓((⫖↰⪸1149⩤)⩷∴⫖↰⪸3014⪘⫢⫖↰⪸845↺(⫖↰⪸28A4/⫖↰⪸AB6)⪢(⨞⊢⫖↰⪸203A))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3741,"operation_count":12,"complexity_ratio":311.75,"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":3484,"base":12},"right_expr":{"type":"numeric_atoms","value":1599,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1651,"base":12},"right_expr":{"type":"numeric_atoms","value":1408,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1929,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5200,"base":12},"right_expr":{"type":"numeric_atoms","value":1205,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4732,"base":12},"right_expr":{"type":"numeric_atoms","value":1578,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3502,"base":12}}}}},"used_operators":["nCS4ZIUYfx","9ICcGScMcE","9HNa5Wba9A","k8jYdgA6NY","2DlMacCsIx","7j4O788W3g","9FxExcQeMw","Z2TMIBDE3Q","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3484","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=1599, op_id = k8jYdgA6NY binary_op_definition= 'None', output=286","layer":3},{"info":"number node, value=1651","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=1408, 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=286, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1929","layer":3},{"info":"number node, value=5200","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=5200, right_input=1205, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10276","layer":3},{"info":"compute binary expreesion, left_input=-1929, right_input=10276, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-24442","layer":2},{"info":"number node, value=4732","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=4732, right_input=1578, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=3502","layer":4},{"info":"compute unary expreesion, input=3502, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3676","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-3676, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=-24442, 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=-320, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≦∁(⫖↰⪸2024%⫖↰⪸B13)*(⫖↰⪸B57⩨⫖↰⪸994))⨳⩥⨓((⫖↰⪸1149⩤)⩷∴⫖↰⪸3014⪘⫢⫖↰⪸845↺(⫖↰⪸28A4/⫖↰⪸AB6)⪢(⨞⊢⫖↰⪸203A))=NaN","reverse_text":"NaN=(≦∁(⫖↰⪸2024%⫖↰⪸B13)*(⫖↰⪸B57⩨⫖↰⪸994))⨳⩥⨓((⫖↰⪸1149⩤)⩷∴⫖↰⪸3014⪘⫢⫖↰⪸845↺(⫖↰⪸28A4/⫖↰⪸AB6)⪢(⨞⊢⫖↰⪸203A))","cot":[{"info":"⫖↰⪸2024%⫖↰⪸B13=⫖↰⪸1BA","layer":3},{"info":"⫖↰⪸B57⩨⫖↰⪸994=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1BA*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"≦∁⫖↰⪸0=⫖↰⪸-228","layer":1},{"info":"⫖↰⪸1149⩤=⫖↰⪸-1149","layer":3},{"info":"⫖↰⪸3014⪘⫢⫖↰⪸845=⫖↰⪸5B44","layer":3},{"info":"⫖↰⪸-1149⩷∴⫖↰⪸5B44=⫖↰⪸-1218A","layer":2},{"info":"⫖↰⪸28A4/⫖↰⪸AB6=⫖↰⪸2","layer":3},{"info":"⨞⊢⫖↰⪸203A=⫖↰⪸-2164","layer":3},{"info":"⫖↰⪸2⪢⫖↰⪸-2164=NaN","layer":2},{"info":"⫖↰⪸-1218A↺NaN=NaN","layer":1},{"info":"⫖↰⪸-228⨳⩥⨓NaN=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"(≤/$5803$⋓$1909$)↙(+⊝⨔($2144$≎⊠⪸$1342$))-(($2503$⨁⊸⫻)*(⫛⫱⨽$2539$))⪛($7153$⋥≓≎$3638$⊭↱$4795$∼$5750$)","expression":"(≤/⫖↰⪸3437⋓⫖↰⪸1131)↙(+⊝⨔(⫖↰⪸12A8≎⊠⪸⫖↰⪸93A))-((⫖↰⪸1547⨁⊸⫻)*(⫛⫱⨽⫖↰⪸1577))⪛(⫖↰⪸4181⋥≓≎⫖↰⪸2132⊭↱⫖↰⪸2937∼⫖↰⪸33B2)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3384,"operation_count":13,"complexity_ratio":260.3076923076923,"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":5803,"base":12},"right_expr":{"type":"numeric_atoms","value":1909,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2144,"base":12},"right_expr":{"type":"numeric_atoms","value":1342,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2503,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2539,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7153,"base":12},"right_expr":{"type":"numeric_atoms","value":3638,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4795,"base":12},"right_expr":{"type":"numeric_atoms","value":5750,"base":12}}}}},"used_operators":["rysDP5nf3Z","yyfyN0ffXY","eLAdDNolq6","T2fj7uvVaJ","DhbWaqg5eL","bJkvcejdHO","uFcxV4UQCh","9HNa5Wba9A","glklzrTFfD","DlLNRPXxWL","COABgblf1C","Qy55tPpLXF","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5803","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=5803, right_input=1909, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1342, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=554823","layer":3},{"info":"compute unary expreesion, input=554823, 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=484, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4566","layer":1},{"info":"number node, value=2503","layer":4},{"info":"compute unary expreesion, input=2503, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2503","layer":3},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2503, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=7153","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=7153, right_input=3638, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=156","layer":3},{"info":"number node, value=4795","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=4795, right_input=5750, 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=156, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4566, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≤/⫖↰⪸3437⋓⫖↰⪸1131)↙(+⊝⨔(⫖↰⪸12A8≎⊠⪸⫖↰⪸93A))-((⫖↰⪸1547⨁⊸⫻)*(⫛⫱⨽⫖↰⪸1577))⪛(⫖↰⪸4181⋥≓≎⫖↰⪸2132⊭↱⫖↰⪸2937∼⫖↰⪸33B2)=NaN","reverse_text":"NaN=(≤/⫖↰⪸3437⋓⫖↰⪸1131)↙(+⊝⨔(⫖↰⪸12A8≎⊠⪸⫖↰⪸93A))-((⫖↰⪸1547⨁⊸⫻)*(⫛⫱⨽⫖↰⪸1577))⪛(⫖↰⪸4181⋥≓≎⫖↰⪸2132⊭↱⫖↰⪸2937∼⫖↰⪸33B2)","cot":[{"info":"⫖↰⪸3437⋓⫖↰⪸1131=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":2},{"info":"⫖↰⪸12A8≎⊠⪸⫖↰⪸93A=⫖↰⪸2290B3","layer":3},{"info":"+⊝⨔⫖↰⪸2290B3=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸344↙⫖↰⪸A6A=⫖↰⪸-2786","layer":1},{"info":"⫖↰⪸1547⨁⊸⫻=⫖↰⪸1547","layer":3},{"info":"⫛⫱⨽⫖↰⪸1577=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1547*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4181⋥≓≎⫖↰⪸2132=⫖↰⪸110","layer":3},{"info":"⫖↰⪸2937∼⫖↰⪸33B2=NaN","layer":3},{"info":"⫖↰⪸110⊭↱NaN=NaN","layer":2},{"info":"⫖↰⪸0⪛NaN=NaN","layer":1},{"info":"⫖↰⪸-2786-NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"($2834$⊉≛↸$5498$⊉≛↸(⨰⫟⨤$7333$))⪘⫢($6763$≹⇙⪍$4419$⪄(⇁⨣⪵$2171$))⫥∨⫟(($1396$⋥≓≎$1281$)⨐⩸⫘($2342$⪨≂$1150$)⊉≛↸($3922$⪄$1581$)⇷(∥⊫$4644$))","expression":"(⫖↰⪸1782⊉≛↸⫖↰⪸3222⊉≛↸(⨰⫟⨤⫖↰⪸42B1))⪘⫢(⫖↰⪸3AB7≹⇙⪍⫖↰⪸2683⪄(⇁⨣⪵⫖↰⪸130B))⫥∨⫟((⫖↰⪸984⋥≓≎⫖↰⪸8A9)⨐⩸⫘(⫖↰⪸1432⪨≂⫖↰⪸7BA)⊉≛↸(⫖↰⪸232A⪄⫖↰⪸AB9)⇷(∥⊫⫖↰⪸2830))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28806,"operation_count":15,"complexity_ratio":1920.4,"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":2834,"base":12},"right_expr":{"type":"numeric_atoms","value":5498,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7333,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6763,"base":12},"right_expr":{"type":"numeric_atoms","value":4419,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2171,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1396,"base":12},"right_expr":{"type":"numeric_atoms","value":1281,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2342,"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":3922,"base":12},"right_expr":{"type":"numeric_atoms","value":1581,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4644,"base":12}}}}},"used_operators":["KYD54nUTWz","oacrs7FA3X","DZ8iAZOCBD","Tw270M8GLb","SUmda5xLS4","AHs5Up7iyr","inkyxCbjAn","fu6greOZ01","Qy55tPpLXF","sdazOOVcIp","mp7IySMOzn","P8v4zCKN1o"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","B5M0gjZbta","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2834","layer":4},{"info":"number node, value=5498","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=5498, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5668","layer":3},{"info":"number node, value=7333","layer":4},{"info":"compute unary expreesion, input=7333, 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=5668, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11336","layer":2},{"info":"number node, value=6763","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=6763, right_input=4419, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2171","layer":4},{"info":"compute unary expreesion, input=2171, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=11336, right_input=3979, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=22548","layer":1},{"info":"number node, value=1396","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1281, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1199","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1150, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2486","layer":3},{"info":"compute binary expreesion, left_input=1199, right_input=2486, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3922","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=1581, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-582869","layer":3},{"info":"number node, value=4644","layer":4},{"info":"compute unary expreesion, input=4644, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5512","layer":3},{"info":"compute binary expreesion, left_input=-582869, right_input=5512, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11024","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11024, 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=22548, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1782⊉≛↸⫖↰⪸3222⊉≛↸(⨰⫟⨤⫖↰⪸42B1))⪘⫢(⫖↰⪸3AB7≹⇙⪍⫖↰⪸2683⪄(⇁⨣⪵⫖↰⪸130B))⫥∨⫟((⫖↰⪸984⋥≓≎⫖↰⪸8A9)⨐⩸⫘(⫖↰⪸1432⪨≂⫖↰⪸7BA)⊉≛↸(⫖↰⪸232A⪄⫖↰⪸AB9)⇷(∥⊫⫖↰⪸2830))=NaN","reverse_text":"NaN=(⫖↰⪸1782⊉≛↸⫖↰⪸3222⊉≛↸(⨰⫟⨤⫖↰⪸42B1))⪘⫢(⫖↰⪸3AB7≹⇙⪍⫖↰⪸2683⪄(⇁⨣⪵⫖↰⪸130B))⫥∨⫟((⫖↰⪸984⋥≓≎⫖↰⪸8A9)⨐⩸⫘(⫖↰⪸1432⪨≂⫖↰⪸7BA)⊉≛↸(⫖↰⪸232A⪄⫖↰⪸AB9)⇷(∥⊫⫖↰⪸2830))","cot":[{"info":"⫖↰⪸1782⊉≛↸⫖↰⪸3222=⫖↰⪸3344","layer":3},{"info":"⨰⫟⨤⫖↰⪸42B1=NaN","layer":3},{"info":"⫖↰⪸3344⊉≛↸NaN=⫖↰⪸6688","layer":2},{"info":"⫖↰⪸3AB7≹⇙⪍⫖↰⪸2683=NaN","layer":3},{"info":"⇁⨣⪵⫖↰⪸130B=NaN","layer":3},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸6688⪘⫢⫖↰⪸2377=⫖↰⪸11070","layer":1},{"info":"⫖↰⪸984⋥≓≎⫖↰⪸8A9=⫖↰⪸83B","layer":3},{"info":"⫖↰⪸1432⪨≂⫖↰⪸7BA=⫖↰⪸1532","layer":3},{"info":"⫖↰⪸83B⨐⩸⫘⫖↰⪸1532=NaN","layer":2},{"info":"⫖↰⪸232A⪄⫖↰⪸AB9=⫖↰⪸-241385","layer":3},{"info":"∥⊫⫖↰⪸2830=⫖↰⪸3234","layer":3},{"info":"⫖↰⪸-241385⇷⫖↰⪸3234=⫖↰⪸6468","layer":2},{"info":"NaN⊉≛↸⫖↰⪸6468=NaN","layer":1},{"info":"⫖↰⪸11070⫥∨⫟NaN=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"($1105$⪘⫢$1414$⫥∨⫟(⨈⫕$1634$))↬(≦∁($8011$/$2555$))⨁⊸⫻","expression":"(⫖↰⪸781⪘⫢⫖↰⪸99A⫥∨⫟(⨈⫕⫖↰⪸B42))↬(≦∁(⫖↰⪸4777/⫖↰⪸158B))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":587,"operation_count":7,"complexity_ratio":83.85714285714286,"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":1105,"base":12},"right_expr":{"type":"numeric_atoms","value":1414,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1634,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8011,"base":12},"right_expr":{"type":"numeric_atoms","value":2555,"base":12}}}}},"used_operators":["glklzrTFfD","B5M0gjZbta","KYD54nUTWz","oacrs7FA3X","megm06wKyl","9ICcGScMcE","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1105","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1414, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2086","layer":3},{"info":"number node, value=1634","layer":4},{"info":"compute unary expreesion, input=1634, 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=2086, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=8011","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=8011, right_input=2555, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-356","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-356, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸781⪘⫢⫖↰⪸99A⫥∨⫟(⨈⫕⫖↰⪸B42))↬(≦∁(⫖↰⪸4777/⫖↰⪸158B))⨁⊸⫻=NaN","reverse_text":"NaN=(⫖↰⪸781⪘⫢⫖↰⪸99A⫥∨⫟(⨈⫕⫖↰⪸B42))↬(≦∁(⫖↰⪸4777/⫖↰⪸158B))⨁⊸⫻","cot":[{"info":"⫖↰⪸781⪘⫢⫖↰⪸99A=⫖↰⪸125A","layer":3},{"info":"⨈⫕⫖↰⪸B42=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸125A⫥∨⫟⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸4777/⫖↰⪸158B=⫖↰⪸3","layer":3},{"info":"≦∁⫖↰⪸3=⫖↰⪸-258","layer":2},{"info":"NaN↬⫖↰⪸-258=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"((($4494$⪨≂$7465$)≫≃)⋥≓≎$2462$∀⇚≩$7009$≧⫂∧($4445$⊭↱$8886$))↬(((≉$1138$)⩨($1495$*$5034$))⩚⊴⇥($2913$⫸⊐$3310$)∼$2487$⊴$5601$)","expression":"(((⫖↰⪸2726⪨≂⫖↰⪸43A1)≫≃)⋥≓≎⫖↰⪸1512∀⇚≩⫖↰⪸4081≧⫂∧(⫖↰⪸26A5⊭↱⫖↰⪸5186))↬(((≉⫖↰⪸7AA)⩨(⫖↰⪸A47*⫖↰⪸2AB6))⩚⊴⇥(⫖↰⪸1829⫸⊐⫖↰⪸1ABA)∼⫖↰⪸1533⊴⫖↰⪸32A9)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29224,"operation_count":14,"complexity_ratio":2087.4285714285716,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4494,"base":12},"right_expr":{"type":"numeric_atoms","value":7465,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2462,"base":12},"right_expr":{"type":"numeric_atoms","value":7009,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4445,"base":12},"right_expr":{"type":"numeric_atoms","value":8886,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1138,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1495,"base":12},"right_expr":{"type":"numeric_atoms","value":5034,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2913,"base":12},"right_expr":{"type":"numeric_atoms","value":3310,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2487,"base":12},"right_expr":{"type":"numeric_atoms","value":5601,"base":12}}}}},"used_operators":["B5M0gjZbta","Qy55tPpLXF","X99M06cbEe","sdazOOVcIp","Ph9nP6C5qx","LRNGc0VcxI","COABgblf1C","NTOWxs364D","2DlMacCsIx","e1ybzncUwg","9HNa5Wba9A","DyGG3AbaNP","mqXw5SEYmG","Nsiff2A1zJ"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4494","layer":4},{"info":"number node, value=7465","layer":4},{"info":"compute binary expreesion, left_input=4494, right_input=7465, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5840","layer":3},{"info":"compute unary expreesion, input=-5840, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-10279","layer":2},{"info":"number node, value=2462","layer":4},{"info":"number node, value=7009","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=7009, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4445","layer":4},{"info":"number node, value=8886","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=8886, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8887","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8887, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8414","layer":2},{"info":"compute binary expreesion, left_input=-10279, right_input=8414, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1669","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=5034","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=5034, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7525830","layer":3},{"info":"compute binary expreesion, left_input=1669, right_input=7525830, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-13527","layer":2},{"info":"number node, value=2913","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=3310, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13115","layer":3},{"info":"number node, value=2487","layer":4},{"info":"number node, value=5601","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=5601, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13115, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13527, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2726⪨≂⫖↰⪸43A1)≫≃)⋥≓≎⫖↰⪸1512∀⇚≩⫖↰⪸4081≧⫂∧(⫖↰⪸26A5⊭↱⫖↰⪸5186))↬(((≉⫖↰⪸7AA)⩨(⫖↰⪸A47*⫖↰⪸2AB6))⩚⊴⇥(⫖↰⪸1829⫸⊐⫖↰⪸1ABA)∼⫖↰⪸1533⊴⫖↰⪸32A9)=NaN","reverse_text":"NaN=(((⫖↰⪸2726⪨≂⫖↰⪸43A1)≫≃)⋥≓≎⫖↰⪸1512∀⇚≩⫖↰⪸4081≧⫂∧(⫖↰⪸26A5⊭↱⫖↰⪸5186))↬(((≉⫖↰⪸7AA)⩨(⫖↰⪸A47*⫖↰⪸2AB6))⩚⊴⇥(⫖↰⪸1829⫸⊐⫖↰⪸1ABA)∼⫖↰⪸1533⊴⫖↰⪸32A9)","cot":[{"info":"⫖↰⪸2726⪨≂⫖↰⪸43A1=⫖↰⪸-3468","layer":3},{"info":"⫖↰⪸-3468≫≃=⫖↰⪸-5B47","layer":2},{"info":"⫖↰⪸1512∀⇚≩⫖↰⪸4081=NaN","layer":3},{"info":"⫖↰⪸26A5⊭↱⫖↰⪸5186=⫖↰⪸5187","layer":3},{"info":"NaN≧⫂∧⫖↰⪸5187=⫖↰⪸4A52","layer":2},{"info":"⫖↰⪸-5B47⋥≓≎⫖↰⪸4A52=⫖↰⪸57","layer":1},{"info":"≉⫖↰⪸7AA=⫖↰⪸B71","layer":3},{"info":"⫖↰⪸A47*⫖↰⪸2AB6=⫖↰⪸262B286","layer":3},{"info":"⫖↰⪸B71⩨⫖↰⪸262B286=⫖↰⪸-79B3","layer":2},{"info":"⫖↰⪸1829⫸⊐⫖↰⪸1ABA=⫖↰⪸770B","layer":3},{"info":"⫖↰⪸1533⊴⫖↰⪸32A9=NaN","layer":3},{"info":"⫖↰⪸770B∼NaN=NaN","layer":2},{"info":"⫖↰⪸-79B3⩚⊴⇥NaN=NaN","layer":1},{"info":"⫖↰⪸57↬NaN=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"(($1830$⋳⪒$2368$)⨟⋌⩍($1782$⊉≛↸$3494$)⊠≄⫣)⇷(≦∁(⨈⫕(⪲⇎$3489$)))","expression":"((⫖↰⪸1086⋳⪒⫖↰⪸1454)⨟⋌⩍(⫖↰⪸1046⊉≛↸⫖↰⪸2032)⊠≄⫣)⇷(≦∁(⨈⫕(⪲⇎⫖↰⪸2029)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":437,"operation_count":8,"complexity_ratio":54.625,"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":1830,"base":12},"right_expr":{"type":"numeric_atoms","value":2368,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1782,"base":12},"right_expr":{"type":"numeric_atoms","value":3494,"base":12}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3489,"base":12}}}}},"used_operators":["mp7IySMOzn","DIvbN7qnHd","rGHVDoGpnC","12rbrZMWeM","DZ8iAZOCBD","9ICcGScMcE","megm06wKyl","XPYlsWDdGa"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=2368, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1005","layer":3},{"info":"number node, value=1782","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=3494, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3564","layer":3},{"info":"compute binary expreesion, left_input=1005, right_input=3564, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=3489","layer":4},{"info":"compute unary expreesion, input=3489, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6978","layer":3},{"info":"compute unary expreesion, input=6978, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-70, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1086⋳⪒⫖↰⪸1454)⨟⋌⩍(⫖↰⪸1046⊉≛↸⫖↰⪸2032)⊠≄⫣)⇷(≦∁(⨈⫕(⪲⇎⫖↰⪸2029)))=NaN","reverse_text":"NaN=((⫖↰⪸1086⋳⪒⫖↰⪸1454)⨟⋌⩍(⫖↰⪸1046⊉≛↸⫖↰⪸2032)⊠≄⫣)⇷(≦∁(⨈⫕(⪲⇎⫖↰⪸2029)))","cot":[{"info":"⫖↰⪸1086⋳⪒⫖↰⪸1454=⫖↰⪸6B9","layer":3},{"info":"⫖↰⪸1046⊉≛↸⫖↰⪸2032=⫖↰⪸2090","layer":3},{"info":"⫖↰⪸6B9⨟⋌⩍⫖↰⪸2090=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⪲⇎⫖↰⪸2029=⫖↰⪸4056","layer":3},{"info":"⨈⫕⫖↰⪸4056=⫖↰⪸-19","layer":2},{"info":"≦∁⫖↰⪸-19=⫖↰⪸-5A","layer":1},{"info":"NaN⇷⫖↰⪸-5A=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"((⫓⪴(+⊝⨔$3218$))+(⩦⩻⨪$5536$≎⊠⪸$1092$))⫥∨⫟((↩$4190$)⨟⋌⩍($6183$⨪↰⇹$2507$)⩨(⩦⩻⨪($1009$-$1862$)))","expression":"((⫓⪴(+⊝⨔⫖↰⪸1A42))+(⩦⩻⨪⫖↰⪸3254≎⊠⪸⫖↰⪸770))⫥∨⫟((↩⫖↰⪸2512)⨟⋌⩍(⫖↰⪸36B3⨪↰⇹⫖↰⪸154B)⩨(⩦⩻⨪(⫖↰⪸701-⫖↰⪸10B2)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8198,"operation_count":12,"complexity_ratio":683.1666666666666,"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":3218,"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":1092,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_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":6183,"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":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":1862,"base":12}}}}},"used_operators":["KYD54nUTWz","W4YGzv6Whe","eLxqMNBOBk","DhbWaqg5eL","2td37pGCOC","bJkvcejdHO","2DlMacCsIx","rGHVDoGpnC","jLgFTUHLKL","tmPS8pqC7x","rysDP5nf3Z"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3218","layer":4},{"info":"compute unary expreesion, input=3218, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2316484","layer":2},{"info":"number node, value=5536","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=5536, right_input=1092, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1433351","layer":3},{"info":"compute unary expreesion, input=1433351, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1433351","layer":2},{"info":"compute binary expreesion, left_input=2316484, right_input=1433351, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3749835","layer":1},{"info":"number node, value=4190","layer":4},{"info":"compute unary expreesion, input=4190, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-30740","layer":3},{"info":"number node, value=6183","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=6183, right_input=2507, 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=6183","layer":3},{"info":"compute binary expreesion, left_input=-30740, right_input=6183, 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=1009","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1862, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-853","layer":3},{"info":"compute unary expreesion, input=-853, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-853","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-853, 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=3749835, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴(+⊝⨔⫖↰⪸1A42))+(⩦⩻⨪⫖↰⪸3254≎⊠⪸⫖↰⪸770))⫥∨⫟((↩⫖↰⪸2512)⨟⋌⩍(⫖↰⪸36B3⨪↰⇹⫖↰⪸154B)⩨(⩦⩻⨪(⫖↰⪸701-⫖↰⪸10B2)))=NaN","reverse_text":"NaN=((⫓⪴(+⊝⨔⫖↰⪸1A42))+(⩦⩻⨪⫖↰⪸3254≎⊠⪸⫖↰⪸770))⫥∨⫟((↩⫖↰⪸2512)⨟⋌⩍(⫖↰⪸36B3⨪↰⇹⫖↰⪸154B)⩨(⩦⩻⨪(⫖↰⪸701-⫖↰⪸10B2)))","cot":[{"info":"+⊝⨔⫖↰⪸1A42=⫖↰⪸A6A","layer":3},{"info":"⫓⪴⫖↰⪸A6A=⫖↰⪸938684","layer":2},{"info":"⫖↰⪸3254≎⊠⪸⫖↰⪸770=⫖↰⪸59159B","layer":3},{"info":"⩦⩻⨪⫖↰⪸59159B=⫖↰⪸59159B","layer":2},{"info":"⫖↰⪸938684+⫖↰⪸59159B=⫖↰⪸130A063","layer":1},{"info":"↩⫖↰⪸2512=⫖↰⪸-15958","layer":3},{"info":"⫖↰⪸36B3⨪↰⇹⫖↰⪸154B=⫖↰⪸36B3","layer":3},{"info":"⫖↰⪸-15958⨟⋌⩍⫖↰⪸36B3=NaN","layer":2},{"info":"⫖↰⪸701-⫖↰⪸10B2=⫖↰⪸-5B1","layer":3},{"info":"⩦⩻⨪⫖↰⪸-5B1=⫖↰⪸-5B1","layer":2},{"info":"NaN⩨⫖↰⪸-5B1=NaN","layer":1},{"info":"⫖↰⪸130A063⫥∨⫟NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"(⪝⪂⫅(⨞⊢$1200$⨐⩸⫘$6845$))≦≮≮","expression":"(⪝⪂⫅(⨞⊢⫖↰⪸840⨐⩸⫘⫖↰⪸3B65))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":4,"complexity_ratio":2.5,"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":1200,"base":12},"right_expr":{"type":"numeric_atoms","value":6845,"base":12}}}}},"used_operators":["D4vGDi5EA2","XTarYq4gQB","xUOZtlo3hN","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=6845","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=6845, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅(⨞⊢⫖↰⪸840⨐⩸⫘⫖↰⪸3B65))≦≮≮=NaN","reverse_text":"NaN=(⪝⪂⫅(⨞⊢⫖↰⪸840⨐⩸⫘⫖↰⪸3B65))≦≮≮","cot":[{"info":"⫖↰⪸840⨐⩸⫘⫖↰⪸3B65=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"(($5838$∀⇚≩$7793$-$5216$⨰$3638$)⨐⩸⫘($6422$⋝⋈⪟$1045$⪒$1401$⨸⪁$3304$))∑⇟⊟(⨰⫟⨤($2301$⫥∨⫟$6498$⇼⇔∾(⫛⫱⨽$1187$)))","expression":"((⫖↰⪸3466∀⇚≩⫖↰⪸4615-⫖↰⪸3028⨰⫖↰⪸2132)⨐⩸⫘(⫖↰⪸3872⋝⋈⪟⫖↰⪸731⪒⫖↰⪸989⨸⪁⫖↰⪸1AB4))∑⇟⊟(⨰⫟⨤(⫖↰⪸13B9⫥∨⫟⫖↰⪸3916⇼⇔∾(⫛⫱⨽⫖↰⪸82B)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":42491,"operation_count":12,"complexity_ratio":3540.9166666666665,"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":5838,"base":12},"right_expr":{"type":"numeric_atoms","value":7793,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5216,"base":12},"right_expr":{"type":"numeric_atoms","value":3638,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6422,"base":12},"right_expr":{"type":"numeric_atoms","value":1045,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1401,"base":12},"right_expr":{"type":"numeric_atoms","value":3304,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2301,"base":12},"right_expr":{"type":"numeric_atoms","value":6498,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1187,"base":12}}}}},"used_operators":["U7g4x0WXJJ","fu6greOZ01","rysDP5nf3Z","LRNGc0VcxI","eewbuw0ToL","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","Tw270M8GLb","tifHPKVTfV","KYD54nUTWz","DlLNRPXxWL"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5838","layer":4},{"info":"number node, value=7793","layer":4},{"info":"compute binary expreesion, left_input=5838, right_input=7793, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5216","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=3638, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1588","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1588, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6422","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=6422, right_input=1045, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6422","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=3304, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9410","layer":3},{"info":"compute binary expreesion, left_input=6422, right_input=9410, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15832","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15832, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2301","layer":4},{"info":"number node, value=6498","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=6498, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3466∀⇚≩⫖↰⪸4615-⫖↰⪸3028⨰⫖↰⪸2132)⨐⩸⫘(⫖↰⪸3872⋝⋈⪟⫖↰⪸731⪒⫖↰⪸989⨸⪁⫖↰⪸1AB4))∑⇟⊟(⨰⫟⨤(⫖↰⪸13B9⫥∨⫟⫖↰⪸3916⇼⇔∾(⫛⫱⨽⫖↰⪸82B)))=NaN","reverse_text":"NaN=((⫖↰⪸3466∀⇚≩⫖↰⪸4615-⫖↰⪸3028⨰⫖↰⪸2132)⨐⩸⫘(⫖↰⪸3872⋝⋈⪟⫖↰⪸731⪒⫖↰⪸989⨸⪁⫖↰⪸1AB4))∑⇟⊟(⨰⫟⨤(⫖↰⪸13B9⫥∨⫟⫖↰⪸3916⇼⇔∾(⫛⫱⨽⫖↰⪸82B)))","cot":[{"info":"⫖↰⪸3466∀⇚≩⫖↰⪸4615=NaN","layer":3},{"info":"⫖↰⪸3028⨰⫖↰⪸2132=⫖↰⪸B04","layer":3},{"info":"NaN-⫖↰⪸B04=NaN","layer":2},{"info":"⫖↰⪸3872⋝⋈⪟⫖↰⪸731=⫖↰⪸3872","layer":3},{"info":"⫖↰⪸989⨸⪁⫖↰⪸1AB4=⫖↰⪸5542","layer":3},{"info":"⫖↰⪸3872⪒⫖↰⪸5542=⫖↰⪸-91B4","layer":2},{"info":"NaN⨐⩸⫘⫖↰⪸-91B4=NaN","layer":1},{"info":"⫖↰⪸13B9⫥∨⫟⫖↰⪸3916=NaN","layer":3},{"info":"⫛⫱⨽⫖↰⪸82B=⫖↰⪸0","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸0=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($4196$⋫)⋓($1094$⨸⪁$2439$)≎⊠⪸(($3367$-$2455$)⪄(∂$1058$)))⋓(($2470$⊠≄⫣)∼($1224$+$1045$)⨸⪁(↔$3753$)⨓($1098$≭$1207$))","expression":"((⫖↰⪸2518⋫)⋓(⫖↰⪸772⨸⪁⫖↰⪸14B3)≎⊠⪸((⫖↰⪸1B47-⫖↰⪸1507)⪄(∂⫖↰⪸742)))⋓((⫖↰⪸151A⊠≄⫣)∼(⫖↰⪸860+⫖↰⪸731)⨸⪁(↔⫖↰⪸2209)⨓(⫖↰⪸776≭⫖↰⪸847))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4357,"operation_count":15,"complexity_ratio":290.46666666666664,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4196,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1094,"base":12},"right_expr":{"type":"numeric_atoms","value":2439,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3367,"base":12},"right_expr":{"type":"numeric_atoms","value":2455,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1058,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2470,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1224,"base":12},"right_expr":{"type":"numeric_atoms","value":1045,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3753,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1098,"base":12},"right_expr":{"type":"numeric_atoms","value":1207,"base":12}}}}},"used_operators":["T2fj7uvVaJ","bJkvcejdHO","JL8yIekQnl","g55IO6H4Gj","SUmda5xLS4","rysDP5nf3Z","Uaa54Peajs","DyGG3AbaNP","DIvbN7qnHd","W4YGzv6Whe","3ViojmjbAp","ruOEQAzv1W","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4196","layer":4},{"info":"compute unary expreesion, input=4196, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4196","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2439, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7066","layer":3},{"info":"compute binary expreesion, left_input=4196, right_input=7066, 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=3367","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=2455, op_id = rysDP5nf3Z binary_op_definition= 'None', output=912","layer":3},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, 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=912, 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=0, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1045, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2269","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2269, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3753","layer":4},{"info":"compute unary expreesion, input=3753, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3480","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1207, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3480, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2518⋫)⋓(⫖↰⪸772⨸⪁⫖↰⪸14B3)≎⊠⪸((⫖↰⪸1B47-⫖↰⪸1507)⪄(∂⫖↰⪸742)))⋓((⫖↰⪸151A⊠≄⫣)∼(⫖↰⪸860+⫖↰⪸731)⨸⪁(↔⫖↰⪸2209)⨓(⫖↰⪸776≭⫖↰⪸847))=NaN","reverse_text":"NaN=((⫖↰⪸2518⋫)⋓(⫖↰⪸772⨸⪁⫖↰⪸14B3)≎⊠⪸((⫖↰⪸1B47-⫖↰⪸1507)⪄(∂⫖↰⪸742)))⋓((⫖↰⪸151A⊠≄⫣)∼(⫖↰⪸860+⫖↰⪸731)⨸⪁(↔⫖↰⪸2209)⨓(⫖↰⪸776≭⫖↰⪸847))","cot":[{"info":"⫖↰⪸2518⋫=⫖↰⪸2518","layer":3},{"info":"⫖↰⪸772⨸⪁⫖↰⪸14B3=⫖↰⪸410A","layer":3},{"info":"⫖↰⪸2518⋓⫖↰⪸410A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B47-⫖↰⪸1507=⫖↰⪸640","layer":3},{"info":"∂⫖↰⪸742=NaN","layer":3},{"info":"⫖↰⪸640⪄NaN=NaN","layer":2},{"info":"⫖↰⪸0≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸151A⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸860+⫖↰⪸731=⫖↰⪸1391","layer":3},{"info":"⫖↰⪸0∼⫖↰⪸1391=NaN","layer":2},{"info":"↔⫖↰⪸2209=⫖↰⪸-2020","layer":3},{"info":"⫖↰⪸776≭⫖↰⪸847=NaN","layer":3},{"info":"⫖↰⪸-2020⨓NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸57⋓NaN=NaN","layer":0}]}
{"id":786,"expression_no_base_symbol":"(($8113$≧⫂∧$3942$)⨟⋌⩍($1762$⫡⨏$2735$)⊭∹↮)⪛($2533$⋓$1158$⋳⪒$3997$≭$3476$*(≉($2625$⪒$4792$)))","expression":"((⫖↰⪸4841≧⫂∧⫖↰⪸2346)⨟⋌⩍(⫖↰⪸102A⫡⨏⫖↰⪸16BB)⊭∹↮)⪛(⫖↰⪸1571⋓⫖↰⪸806⋳⪒⫖↰⪸2391≭⫖↰⪸2018*(≉(⫖↰⪸1629⪒⫖↰⪸2934)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45,"operation_count":11,"complexity_ratio":4.090909090909091,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8113,"base":12},"right_expr":{"type":"numeric_atoms","value":3942,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1762,"base":12},"right_expr":{"type":"numeric_atoms","value":2735,"base":12}}}},"right_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":1158,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3997,"base":12},"right_expr":{"type":"numeric_atoms","value":3476,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2625,"base":12},"right_expr":{"type":"numeric_atoms","value":4792,"base":12}}}}},"used_operators":["uFcxV4UQCh","xNBdhnnwKq","rGHVDoGpnC","Ph9nP6C5qx","QMFrweE19q","9HNa5Wba9A","12rbrZMWeM","T2fj7uvVaJ","rxpJgHHUmx","e1ybzncUwg","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8113","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=8113, right_input=3942, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3469","layer":3},{"info":"number node, value=1762","layer":4},{"info":"number node, value=2735","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=2735, 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=15063","layer":3},{"info":"compute binary expreesion, left_input=3469, right_input=15063, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=2533","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=1158, 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=3997","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=3476, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2625","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=4792, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7417","layer":3},{"info":"compute unary expreesion, input=-7417, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-7417","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7417, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"((⫖↰⪸4841≧⫂∧⫖↰⪸2346)⨟⋌⩍(⫖↰⪸102A⫡⨏⫖↰⪸16BB)⊭∹↮)⪛(⫖↰⪸1571⋓⫖↰⪸806⋳⪒⫖↰⪸2391≭⫖↰⪸2018*(≉(⫖↰⪸1629⪒⫖↰⪸2934)))=NaN","reverse_text":"NaN=((⫖↰⪸4841≧⫂∧⫖↰⪸2346)⨟⋌⩍(⫖↰⪸102A⫡⨏⫖↰⪸16BB)⊭∹↮)⪛(⫖↰⪸1571⋓⫖↰⪸806⋳⪒⫖↰⪸2391≭⫖↰⪸2018*(≉(⫖↰⪸1629⪒⫖↰⪸2934)))","cot":[{"info":"⫖↰⪸4841≧⫂∧⫖↰⪸2346=⫖↰⪸2011","layer":3},{"info":"⫖↰⪸102A⫡⨏⫖↰⪸16BB=⫖↰⪸8873","layer":3},{"info":"⫖↰⪸2011⨟⋌⩍⫖↰⪸8873=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⫖↰⪸1571⋓⫖↰⪸806=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2391≭⫖↰⪸2018=NaN","layer":3},{"info":"⫖↰⪸0⋳⪒NaN=NaN","layer":2},{"info":"⫖↰⪸1629⪒⫖↰⪸2934=⫖↰⪸-4361","layer":3},{"info":"≉⫖↰⪸-4361=⫖↰⪸-4361","layer":2},{"info":"NaN*⫖↰⪸-4361=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"(((⊄⩳↩$3833$)⨓($3693$⊉≛↸$1855$))⨪↰⇹(↩(≉$6183$)))⪢(($4276$⩠)∑⇟⊟$6172$⪢$1168$⪒$4199$⨎$2168$⋳⪒$1402$⪮%⊝$3485$)","expression":"(((⊄⩳↩⫖↰⪸2275)⨓(⫖↰⪸2179⊉≛↸⫖↰⪸10A7))⨪↰⇹(↩(≉⫖↰⪸36B3)))⪢((⫖↰⪸2584⩠)∑⇟⊟⫖↰⪸36A4⪢⫖↰⪸814⪒⫖↰⪸251B⨎⫖↰⪸1308⋳⪒⫖↰⪸98A⪮%⊝⫖↰⪸2025)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18400,"operation_count":14,"complexity_ratio":1314.2857142857142,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3833,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3693,"base":12},"right_expr":{"type":"numeric_atoms","value":1855,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6183,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4276,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6172,"base":12},"right_expr":{"type":"numeric_atoms","value":1168,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4199,"base":12},"right_expr":{"type":"numeric_atoms","value":2168,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1402,"base":12},"right_expr":{"type":"numeric_atoms","value":3485,"base":12}}}}},"used_operators":["dWAJyo7jo9","tmPS8pqC7x","3ViojmjbAp","8w2t5hMYqp","DZ8iAZOCBD","jLgFTUHLKL","e1ybzncUwg","f6k1SAg4EE","U7g4x0WXJJ","sJAwomhLZr","12rbrZMWeM","rJVOvQCfKK","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3833","layer":4},{"info":"compute unary expreesion, input=3833, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11499","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=1855, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7386","layer":3},{"info":"compute binary expreesion, left_input=-11499, right_input=7386, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7389","layer":2},{"info":"number node, value=6183","layer":4},{"info":"compute unary expreesion, input=6183, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6714","layer":3},{"info":"compute unary expreesion, input=6714, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-50932","layer":2},{"info":"compute binary expreesion, left_input=-7389, right_input=-50932, 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=7389","layer":1},{"info":"number node, value=4276","layer":4},{"info":"compute unary expreesion, input=4276, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=6172","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=6172, right_input=1168, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4199","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=4199, right_input=2168, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2168","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=3485, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3120","layer":3},{"info":"compute binary expreesion, left_input=2168, right_input=3120, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=929","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=929, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7389, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⊄⩳↩⫖↰⪸2275)⨓(⫖↰⪸2179⊉≛↸⫖↰⪸10A7))⨪↰⇹(↩(≉⫖↰⪸36B3)))⪢((⫖↰⪸2584⩠)∑⇟⊟⫖↰⪸36A4⪢⫖↰⪸814⪒⫖↰⪸251B⨎⫖↰⪸1308⋳⪒⫖↰⪸98A⪮%⊝⫖↰⪸2025)=NaN","reverse_text":"NaN=(((⊄⩳↩⫖↰⪸2275)⨓(⫖↰⪸2179⊉≛↸⫖↰⪸10A7))⨪↰⇹(↩(≉⫖↰⪸36B3)))⪢((⫖↰⪸2584⩠)∑⇟⊟⫖↰⪸36A4⪢⫖↰⪸814⪒⫖↰⪸251B⨎⫖↰⪸1308⋳⪒⫖↰⪸98A⪮%⊝⫖↰⪸2025)","cot":[{"info":"⊄⩳↩⫖↰⪸2275=⫖↰⪸-67A3","layer":3},{"info":"⫖↰⪸2179⊉≛↸⫖↰⪸10A7=⫖↰⪸4336","layer":3},{"info":"⫖↰⪸-67A3⨓⫖↰⪸4336=⫖↰⪸-4339","layer":2},{"info":"≉⫖↰⪸36B3=⫖↰⪸3A76","layer":3},{"info":"↩⫖↰⪸3A76=⫖↰⪸-25584","layer":2},{"info":"⫖↰⪸-4339⨪↰⇹⫖↰⪸-25584=⫖↰⪸4339","layer":1},{"info":"⫖↰⪸2584⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸36A4⪢⫖↰⪸814=NaN","layer":3},{"info":"⫖↰⪸0∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸251B⨎⫖↰⪸1308=⫖↰⪸1308","layer":3},{"info":"⫖↰⪸98A⪮%⊝⫖↰⪸2025=⫖↰⪸1980","layer":3},{"info":"⫖↰⪸1308⋳⪒⫖↰⪸1980=⫖↰⪸655","layer":2},{"info":"NaN⪒⫖↰⪸655=NaN","layer":1},{"info":"⫖↰⪸4339⪢NaN=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"↩(((≉$1043$)⫡⨏($4882$⪨≂$3114$))⩨(≤/(-$2595$)))","expression":"↩(((≉⫖↰⪸72B)⫡⨏(⫖↰⪸29AA⪨≂⫖↰⪸1976))⩨(≤/(-⫖↰⪸1603)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":39,"operation_count":7,"complexity_ratio":5.571428571428571,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4882,"base":12},"right_expr":{"type":"numeric_atoms","value":3114,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2595,"base":12}}}}},"used_operators":["jLgFTUHLKL","2DlMacCsIx","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","eLAdDNolq6","t8gj7n24qd"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸2978","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1574","layer":3},{"info":"number node, value=4882","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=4882, right_input=3114, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3638","layer":3},{"info":"compute binary expreesion, left_input=1574, right_input=3638, 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=15929","layer":2},{"info":"number node, value=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2595","layer":3},{"info":"compute unary expreesion, input=-2595, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3079","layer":2},{"info":"compute binary expreesion, left_input=15929, right_input=3079, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":12,"result_base":12,"text":"↩(((≉⫖↰⪸72B)⫡⨏(⫖↰⪸29AA⪨≂⫖↰⪸1976))⩨(≤/(-⫖↰⪸1603)))=⫖↰⪸2978","reverse_text":"⫖↰⪸2978=↩(((≉⫖↰⪸72B)⫡⨏(⫖↰⪸29AA⪨≂⫖↰⪸1976))⩨(≤/(-⫖↰⪸1603)))","cot":[{"info":"≉⫖↰⪸72B=⫖↰⪸AB2","layer":3},{"info":"⫖↰⪸29AA⪨≂⫖↰⪸1976=⫖↰⪸2132","layer":3},{"info":"⫖↰⪸AB2⫡⨏⫖↰⪸2132=⫖↰⪸9275","layer":2},{"info":"-⫖↰⪸1603=⫖↰⪸-1603","layer":3},{"info":"≤/⫖↰⪸-1603=⫖↰⪸1947","layer":2},{"info":"⫖↰⪸9275⩨⫖↰⪸1947=⫖↰⪸0","layer":1},{"info":"↩⫖↰⪸0=⫖↰⪸2978","layer":0}]}
{"id":789,"expression_no_base_symbol":"(⪲⇎(↯⪼($1761$⨓$1011$)))≋⫹","expression":"(⪲⇎(↯⪼(⫖↰⪸1029⨓⫖↰⪸703)))≋⫹","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1035,"operation_count":4,"complexity_ratio":258.75,"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":1761,"base":12},"right_expr":{"type":"numeric_atoms","value":1011,"base":12}}}}},"used_operators":["N41Kp7NANJ","XPYlsWDdGa","8jW3W4yZS5","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸-26A4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1011, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1014","layer":3},{"info":"compute unary expreesion, input=-1014, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=1111","layer":2},{"info":"compute unary expreesion, input=1111, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2222","layer":1},{"info":"compute unary expreesion, input=2222, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4444","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(↯⪼(⫖↰⪸1029⨓⫖↰⪸703)))≋⫹=⫖↰⪸-26A4","reverse_text":"⫖↰⪸-26A4=(⪲⇎(↯⪼(⫖↰⪸1029⨓⫖↰⪸703)))≋⫹","cot":[{"info":"⫖↰⪸1029⨓⫖↰⪸703=⫖↰⪸-706","layer":3},{"info":"↯⪼⫖↰⪸-706=⫖↰⪸787","layer":2},{"info":"⪲⇎⫖↰⪸787=⫖↰⪸1352","layer":1},{"info":"⫖↰⪸1352≋⫹=⫖↰⪸-26A4","layer":0}]}
{"id":790,"expression_no_base_symbol":"($1015$⋓$1884$⋝⋈⪟($3051$⪄$1667$))⪛(≉$5117$⪛$5292$)⩚⊴⇥((⨞⊢$2629$⪘⫢$5045$)⫡⨏($5507$⨎$4214$)∼(≦∁$4114$))","expression":"(⫖↰⪸707⋓⫖↰⪸1110⋝⋈⪟(⫖↰⪸1923⪄⫖↰⪸B6B))⪛(≉⫖↰⪸2B65⪛⫖↰⪸3090)⩚⊴⇥((⨞⊢⫖↰⪸1631⪘⫢⫖↰⪸2B05)⫡⨏(⫖↰⪸322B⨎⫖↰⪸2532)∼(≦∁⫖↰⪸246A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":234,"operation_count":13,"complexity_ratio":18.0,"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":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":1884,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3051,"base":12},"right_expr":{"type":"numeric_atoms","value":1667,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5117,"base":12},"right_expr":{"type":"numeric_atoms","value":5292,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2629,"base":12},"right_expr":{"type":"numeric_atoms","value":5045,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5507,"base":12},"right_expr":{"type":"numeric_atoms","value":4214,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4114,"base":12}}}}},"used_operators":["NTOWxs364D","uFcxV4UQCh","2DDjHMKMc0","T2fj7uvVaJ","SUmda5xLS4","e1ybzncUwg","QMFrweE19q","xUOZtlo3hN","oacrs7FA3X","DyGG3AbaNP","rJVOvQCfKK","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1884, 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=3051","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=3051, right_input=1667, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-454305","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-454305, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=5117","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=5117, right_input=5292, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5117","layer":3},{"info":"compute unary expreesion, input=5117, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5648","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5648, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"number node, value=2629","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=5045, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5134","layer":3},{"info":"compute unary expreesion, input=5134, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5308","layer":2},{"info":"number node, value=5507","layer":4},{"info":"number node, value=4214","layer":4},{"info":"compute binary expreesion, left_input=5507, right_input=4214, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4214","layer":3},{"info":"number node, value=4114","layer":4},{"info":"compute unary expreesion, input=4114, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4114","layer":3},{"info":"compute binary expreesion, left_input=4214, right_input=4114, 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=-5308, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸707⋓⫖↰⪸1110⋝⋈⪟(⫖↰⪸1923⪄⫖↰⪸B6B))⪛(≉⫖↰⪸2B65⪛⫖↰⪸3090)⩚⊴⇥((⨞⊢⫖↰⪸1631⪘⫢⫖↰⪸2B05)⫡⨏(⫖↰⪸322B⨎⫖↰⪸2532)∼(≦∁⫖↰⪸246A))=NaN","reverse_text":"NaN=(⫖↰⪸707⋓⫖↰⪸1110⋝⋈⪟(⫖↰⪸1923⪄⫖↰⪸B6B))⪛(≉⫖↰⪸2B65⪛⫖↰⪸3090)⩚⊴⇥((⨞⊢⫖↰⪸1631⪘⫢⫖↰⪸2B05)⫡⨏(⫖↰⪸322B⨎⫖↰⪸2532)∼(≦∁⫖↰⪸246A))","cot":[{"info":"⫖↰⪸707⋓⫖↰⪸1110=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1923⪄⫖↰⪸B6B=⫖↰⪸-19AAA9","layer":3},{"info":"⫖↰⪸0⋝⋈⪟⫖↰⪸-19AAA9=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2B65⪛⫖↰⪸3090=⫖↰⪸2B65","layer":3},{"info":"≉⫖↰⪸2B65=⫖↰⪸3328","layer":2},{"info":"⫖↰⪸0⪛⫖↰⪸3328=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1631⪘⫢⫖↰⪸2B05=⫖↰⪸2B7A","layer":3},{"info":"⨞⊢⫖↰⪸2B7A=⫖↰⪸-30A4","layer":2},{"info":"⫖↰⪸322B⨎⫖↰⪸2532=⫖↰⪸2532","layer":3},{"info":"≦∁⫖↰⪸246A=⫖↰⪸246A","layer":3},{"info":"⫖↰⪸2532∼⫖↰⪸246A=NaN","layer":2},{"info":"⫖↰⪸-30A4⫡⨏NaN=NaN","layer":1},{"info":"⫖↰⪸0⩚⊴⇥NaN=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"(($5769$⪨≂$8311$⫡⨏$1025$⫥∨⫟$1571$)⨐⩸⫘(⫓⪴$7477$)⪘⫢(⇁⨣⪵$3428$))⊦⊿","expression":"((⫖↰⪸3409⪨≂⫖↰⪸4987⫡⨏⫖↰⪸715⫥∨⫟⫖↰⪸AAB)⨐⩸⫘(⫓⪴⫖↰⪸43B1)⪘⫢(⇁⨣⪵⫖↰⪸1B98))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7660,"operation_count":8,"complexity_ratio":957.5,"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":5769,"base":12},"right_expr":{"type":"numeric_atoms","value":8311,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1025,"base":12},"right_expr":{"type":"numeric_atoms","value":1571,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7477,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3428,"base":12}}}}},"used_operators":["14qkJME0vr","fu6greOZ01","QMFrweE19q","sdazOOVcIp","KYD54nUTWz","oacrs7FA3X","eLxqMNBOBk","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5769","layer":4},{"info":"number node, value=8311","layer":4},{"info":"compute binary expreesion, left_input=5769, right_input=8311, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4982","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1571, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4982, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=7477","layer":4},{"info":"compute unary expreesion, input=7477, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=55905529","layer":3},{"info":"number node, value=3428","layer":4},{"info":"compute unary expreesion, input=3428, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=55905529, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3409⪨≂⫖↰⪸4987⫡⨏⫖↰⪸715⫥∨⫟⫖↰⪸AAB)⨐⩸⫘(⫓⪴⫖↰⪸43B1)⪘⫢(⇁⨣⪵⫖↰⪸1B98))⊦⊿=NaN","reverse_text":"NaN=((⫖↰⪸3409⪨≂⫖↰⪸4987⫡⨏⫖↰⪸715⫥∨⫟⫖↰⪸AAB)⨐⩸⫘(⫓⪴⫖↰⪸43B1)⪘⫢(⇁⨣⪵⫖↰⪸1B98))⊦⊿","cot":[{"info":"⫖↰⪸3409⪨≂⫖↰⪸4987=⫖↰⪸-2A72","layer":3},{"info":"⫖↰⪸715⫥∨⫟⫖↰⪸AAB=NaN","layer":3},{"info":"⫖↰⪸-2A72⫡⨏NaN=NaN","layer":2},{"info":"⫓⪴⫖↰⪸43B1=⫖↰⪸168808A1","layer":3},{"info":"⇁⨣⪵⫖↰⪸1B98=NaN","layer":3},{"info":"⫖↰⪸168808A1⪘⫢NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"⩦⩻⨪(≦∁(⨵≀≌$4282$⪮%⊝$3313$))","expression":"⩦⩻⨪(≦∁(⨵≀≌⫖↰⪸258A⪮%⊝⫖↰⪸1B01))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":129,"operation_count":4,"complexity_ratio":32.25,"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":4282,"base":12},"right_expr":{"type":"numeric_atoms","value":3313,"base":12}}}}},"used_operators":["2td37pGCOC","9ICcGScMcE","srAu1WTS94","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4282","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=3313, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8880","layer":3},{"info":"compute unary expreesion, input=8880, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-26640","layer":2},{"info":"compute unary expreesion, input=-26640, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=67","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(≦∁(⨵≀≌⫖↰⪸258A⪮%⊝⫖↰⪸1B01))=⫖↰⪸57","reverse_text":"⫖↰⪸57=⩦⩻⨪(≦∁(⨵≀≌⫖↰⪸258A⪮%⊝⫖↰⪸1B01))","cot":[{"info":"⫖↰⪸258A⪮%⊝⫖↰⪸1B01=⫖↰⪸5180","layer":3},{"info":"⨵≀≌⫖↰⪸5180=⫖↰⪸-13500","layer":2},{"info":"≦∁⫖↰⪸-13500=⫖↰⪸57","layer":1},{"info":"⩦⩻⨪⫖↰⪸57=⫖↰⪸57","layer":0}]}
{"id":793,"expression_no_base_symbol":"↔($2671$⨟⋌⩍$8258$↙($2224$⫡⨏$5714$)⊉≛↸($1235$⪐)⩚⊴⇥($3311$⇼⇔∾$6121$))","expression":"↔(⫖↰⪸1667⨟⋌⩍⫖↰⪸4942↙(⫖↰⪸1354⫡⨏⫖↰⪸3382)⊉≛↸(⫖↰⪸86B⪐)⩚⊴⇥(⫖↰⪸1ABB⇼⇔∾⫖↰⪸3661))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":40,"operation_count":8,"complexity_ratio":5.0,"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":2671,"base":12},"right_expr":{"type":"numeric_atoms","value":8258,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2224,"base":12},"right_expr":{"type":"numeric_atoms","value":5714,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1235,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3311,"base":12},"right_expr":{"type":"numeric_atoms","value":6121,"base":12}}}}},"used_operators":["ruOEQAzv1W","DZ8iAZOCBD","yyfyN0ffXY","rGHVDoGpnC","QMFrweE19q","NTOWxs364D","eH2TOUuTDT","tifHPKVTfV"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":4},{"info":"number node, value=8258","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=8258, 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=2224","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=5714, 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=23331","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23331, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2470","layer":3},{"info":"number node, value=3311","layer":4},{"info":"number node, value=6121","layer":4},{"info":"compute binary expreesion, left_input=3311, right_input=6121, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2810","layer":3},{"info":"compute binary expreesion, left_input=2470, right_input=2810, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5401","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5401, 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 = 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":"↔(⫖↰⪸1667⨟⋌⩍⫖↰⪸4942↙(⫖↰⪸1354⫡⨏⫖↰⪸3382)⊉≛↸(⫖↰⪸86B⪐)⩚⊴⇥(⫖↰⪸1ABB⇼⇔∾⫖↰⪸3661))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔(⫖↰⪸1667⨟⋌⩍⫖↰⪸4942↙(⫖↰⪸1354⫡⨏⫖↰⪸3382)⊉≛↸(⫖↰⪸86B⪐)⩚⊴⇥(⫖↰⪸1ABB⇼⇔∾⫖↰⪸3661))","cot":[{"info":"⫖↰⪸1667⨟⋌⩍⫖↰⪸4942=NaN","layer":3},{"info":"⫖↰⪸1354⫡⨏⫖↰⪸3382=⫖↰⪸11603","layer":3},{"info":"NaN↙⫖↰⪸11603=NaN","layer":2},{"info":"⫖↰⪸86B⪐=⫖↰⪸151A","layer":3},{"info":"⫖↰⪸1ABB⇼⇔∾⫖↰⪸3661=⫖↰⪸1762","layer":3},{"info":"⫖↰⪸151A⩚⊴⇥⫖↰⪸1762=⫖↰⪸-3161","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-3161=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":794,"expression_no_base_symbol":"⪝⪂⫅(⨰⫟⨤(($2794$/$2992$)⩨($1060$*$6149$)))","expression":"⪝⪂⫅(⨰⫟⨤((⫖↰⪸174A/⫖↰⪸1894)⩨(⫖↰⪸744*⫖↰⪸3685)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1098,"operation_count":5,"complexity_ratio":219.6,"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":2794,"base":12},"right_expr":{"type":"numeric_atoms","value":2992,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":6149,"base":12}}}}},"used_operators":["XTarYq4gQB","Tw270M8GLb","2DlMacCsIx","XhwjNDsVaA","9HNa5Wba9A"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2794","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=2992, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=6149","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=6149, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6517940","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6517940, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(⨰⫟⨤((⫖↰⪸174A/⫖↰⪸1894)⩨(⫖↰⪸744*⫖↰⪸3685)))=NaN","reverse_text":"NaN=⪝⪂⫅(⨰⫟⨤((⫖↰⪸174A/⫖↰⪸1894)⩨(⫖↰⪸744*⫖↰⪸3685)))","cot":[{"info":"⫖↰⪸174A/⫖↰⪸1894=⫖↰⪸0","layer":3},{"info":"⫖↰⪸744*⫖↰⪸3685=⫖↰⪸2223B58","layer":3},{"info":"⫖↰⪸0⩨⫖↰⪸2223B58=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"($1187$∲⫓$2670$⪨≂($4239$⊦⊿)↪⪝)⋷((⩦⩻⨪$1931$)∧)⋓($1047$⋓$4983$/$1024$⋥≓≎$1870$)","expression":"(⫖↰⪸82B∲⫓⫖↰⪸1666⪨≂(⫖↰⪸2553⊦⊿)↪⪝)⋷((⩦⩻⨪⫖↰⪸114B)∧)⋓(⫖↰⪸733⋓⫖↰⪸2A73/⫖↰⪸714⋥≓≎⫖↰⪸10BA)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":756,"operation_count":11,"complexity_ratio":68.72727272727273,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1187,"base":12},"right_expr":{"type":"numeric_atoms","value":2670,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4239,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∧","unary_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":"numeric_atoms","value":1047,"base":12},"right_expr":{"type":"numeric_atoms","value":4983,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":1870,"base":12}}}}},"used_operators":["23Mk6UjR3U","l07mrZUIn9","sdazOOVcIp","i8ToyICDmI","14qkJME0vr","T2fj7uvVaJ","z63VuFQld9","2td37pGCOC","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-37A568230","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1187","layer":4},{"info":"number node, value=2670","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2670, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4239","layer":4},{"info":"compute unary expreesion, input=4239, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12796","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12796, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=25694","layer":2},{"info":"compute unary expreesion, input=25694, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1572010308","layer":1},{"info":"number node, value=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1931","layer":3},{"info":"compute unary expreesion, input=1931, 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=1047","layer":4},{"info":"number node, value=4983","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=4983, 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=1024","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1870, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2749","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2749, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1572010308, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1572010308","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸82B∲⫓⫖↰⪸1666⪨≂(⫖↰⪸2553⊦⊿)↪⪝)⋷((⩦⩻⨪⫖↰⪸114B)∧)⋓(⫖↰⪸733⋓⫖↰⪸2A73/⫖↰⪸714⋥≓≎⫖↰⪸10BA)=⫖↰⪸-37A568230","reverse_text":"⫖↰⪸-37A568230=(⫖↰⪸82B∲⫓⫖↰⪸1666⪨≂(⫖↰⪸2553⊦⊿)↪⪝)⋷((⩦⩻⨪⫖↰⪸114B)∧)⋓(⫖↰⪸733⋓⫖↰⪸2A73/⫖↰⪸714⋥≓≎⫖↰⪸10BA)","cot":[{"info":"⫖↰⪸82B∲⫓⫖↰⪸1666=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2553⊦⊿=⫖↰⪸-74A4","layer":3},{"info":"⫖↰⪸0⪨≂⫖↰⪸-74A4=⫖↰⪸12A52","layer":2},{"info":"⫖↰⪸12A52↪⪝=⫖↰⪸37A568230","layer":1},{"info":"⩦⩻⨪⫖↰⪸114B=⫖↰⪸114B","layer":3},{"info":"⫖↰⪸114B∧=NaN","layer":2},{"info":"⫖↰⪸733⋓⫖↰⪸2A73=⫖↰⪸0","layer":3},{"info":"⫖↰⪸714⋥≓≎⫖↰⪸10BA=⫖↰⪸1711","layer":3},{"info":"⫖↰⪸0/⫖↰⪸1711=⫖↰⪸0","layer":2},{"info":"NaN⋓⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸37A568230⋷⫖↰⪸0=⫖↰⪸-37A568230","layer":0}]}
{"id":796,"expression_no_base_symbol":"(($7430$⫩⊇)⩨$5316$⪘⫢$3465$)⇷((∥⊫$3802$)≧⫂∧($3099$⇼⇔∾$1107$))⨸⪁(⪝⪂⫅($1018$+⇶⊼$1043$)⇷($1353$⩷∴$2268$))","expression":"((⫖↰⪸4372⫩⊇)⩨⫖↰⪸30B0⪘⫢⫖↰⪸2009)⇷((∥⊫⫖↰⪸224A)≧⫂∧(⫖↰⪸1963⇼⇔∾⫖↰⪸783))⨸⪁(⪝⪂⫅(⫖↰⪸70A+⇶⊼⫖↰⪸72B)⇷(⫖↰⪸949⩷∴⫖↰⪸1390))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":142,"operation_count":12,"complexity_ratio":11.833333333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":7430,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5316,"base":12},"right_expr":{"type":"numeric_atoms","value":3465,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3802,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3099,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1018,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1353,"base":12},"right_expr":{"type":"numeric_atoms","value":2268,"base":12}}}}},"used_operators":["g55IO6H4Gj","mp7IySMOzn","2DlMacCsIx","BjRHVeLaeN","oacrs7FA3X","Ph9nP6C5qx","P8v4zCKN1o","tifHPKVTfV","XTarYq4gQB","TpPTUOHfaN","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7430","layer":4},{"info":"compute unary expreesion, input=7430, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7388","layer":3},{"info":"number node, value=5316","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=5316, right_input=3465, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10508","layer":3},{"info":"compute binary expreesion, left_input=-7388, right_input=10508, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=3802","layer":4},{"info":"compute unary expreesion, input=3802, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4670","layer":3},{"info":"number node, value=3099","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=3099, right_input=1107, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1992","layer":3},{"info":"compute binary expreesion, left_input=4670, right_input=-1992, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6662","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=6662, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13324","layer":1},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1043, 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=1353","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=2268, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1862","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1862, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13324, 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":"((⫖↰⪸4372⫩⊇)⩨⫖↰⪸30B0⪘⫢⫖↰⪸2009)⇷((∥⊫⫖↰⪸224A)≧⫂∧(⫖↰⪸1963⇼⇔∾⫖↰⪸783))⨸⪁(⪝⪂⫅(⫖↰⪸70A+⇶⊼⫖↰⪸72B)⇷(⫖↰⪸949⩷∴⫖↰⪸1390))=NaN","reverse_text":"NaN=((⫖↰⪸4372⫩⊇)⩨⫖↰⪸30B0⪘⫢⫖↰⪸2009)⇷((∥⊫⫖↰⪸224A)≧⫂∧(⫖↰⪸1963⇼⇔∾⫖↰⪸783))⨸⪁(⪝⪂⫅(⫖↰⪸70A+⇶⊼⫖↰⪸72B)⇷(⫖↰⪸949⩷∴⫖↰⪸1390))","cot":[{"info":"⫖↰⪸4372⫩⊇=⫖↰⪸-4338","layer":3},{"info":"⫖↰⪸30B0⪘⫢⫖↰⪸2009=⫖↰⪸60B8","layer":3},{"info":"⫖↰⪸-4338⩨⫖↰⪸60B8=⫖↰⪸6","layer":2},{"info":"∥⊫⫖↰⪸224A=⫖↰⪸2852","layer":3},{"info":"⫖↰⪸1963⇼⇔∾⫖↰⪸783=⫖↰⪸-11A0","layer":3},{"info":"⫖↰⪸2852≧⫂∧⫖↰⪸-11A0=⫖↰⪸3A32","layer":2},{"info":"⫖↰⪸6⇷⫖↰⪸3A32=⫖↰⪸7864","layer":1},{"info":"⫖↰⪸70A+⇶⊼⫖↰⪸72B=NaN","layer":3},{"info":"⫖↰⪸949⩷∴⫖↰⪸1390=⫖↰⪸-10B2","layer":3},{"info":"NaN⇷⫖↰⪸-10B2=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⫖↰⪸7864⨸⪁NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"⪲⇎(($1454$⫡⨏$1907$/(⩦⩻⨪$6563$))⇋≉)","expression":"⪲⇎((⫖↰⪸A12⫡⨏⫖↰⪸112B/(⩦⩻⨪⫖↰⪸396B))⇋≉)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":5,"complexity_ratio":3.2,"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":1454,"base":12},"right_expr":{"type":"numeric_atoms","value":1907,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6563,"base":12}}}}},"used_operators":["XPYlsWDdGa","XIabStNQrY","XhwjNDsVaA","QMFrweE19q","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-140","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1454","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=1907, 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=11867","layer":3},{"info":"number node, value=6563","layer":4},{"info":"compute unary expreesion, input=6563, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6563","layer":3},{"info":"compute binary expreesion, left_input=11867, right_input=6563, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-96","layer":1},{"info":"compute unary expreesion, input=-96, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-192","layer":0}],"base":12,"result_base":12,"text":"⪲⇎((⫖↰⪸A12⫡⨏⫖↰⪸112B/(⩦⩻⨪⫖↰⪸396B))⇋≉)=⫖↰⪸-140","reverse_text":"⫖↰⪸-140=⪲⇎((⫖↰⪸A12⫡⨏⫖↰⪸112B/(⩦⩻⨪⫖↰⪸396B))⇋≉)","cot":[{"info":"⫖↰⪸A12⫡⨏⫖↰⪸112B=⫖↰⪸6A4B","layer":3},{"info":"⩦⩻⨪⫖↰⪸396B=⫖↰⪸396B","layer":3},{"info":"⫖↰⪸6A4B/⫖↰⪸396B=⫖↰⪸1","layer":2},{"info":"⫖↰⪸1⇋≉=⫖↰⪸-80","layer":1},{"info":"⪲⇎⫖↰⪸-80=⫖↰⪸-140","layer":0}]}
{"id":798,"expression_no_base_symbol":"((($1745$≭$1619$)⇋≉)⫡⨏(($1371$-$2359$)⊭∹↮))∀⇚≩(($6396$⨪↰⇹$2120$⩤)⋷(⪲⇎$4100$)⊭↱(≦∁$1294$))","expression":"(((⫖↰⪸1015≭⫖↰⪸B2B)⇋≉)⫡⨏((⫖↰⪸963-⫖↰⪸1447)⊭∹↮))∀⇚≩((⫖↰⪸3850⨪↰⇹⫖↰⪸1288⩤)⋷(⪲⇎⫖↰⪸2458)⊭↱(≦∁⫖↰⪸8BA))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6422,"operation_count":12,"complexity_ratio":535.1666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1745,"base":12},"right_expr":{"type":"numeric_atoms","value":1619,"base":12}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1371,"base":12},"right_expr":{"type":"numeric_atoms","value":2359,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6396,"base":12},"right_expr":{"type":"numeric_atoms","value":2120,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4100,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1294,"base":12}}}}},"used_operators":["LRNGc0VcxI","QMFrweE19q","XIabStNQrY","rxpJgHHUmx","xNBdhnnwKq","rysDP5nf3Z","23Mk6UjR3U","Z2TMIBDE3Q","tmPS8pqC7x","COABgblf1C","XPYlsWDdGa","9ICcGScMcE"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1619, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=1371","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=2359, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-988","layer":3},{"info":"compute unary expreesion, input=-988, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-988","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-988, 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=6396","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=6396, right_input=2120, 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=6396","layer":3},{"info":"compute unary expreesion, input=6396, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6396","layer":2},{"info":"number node, value=4100","layer":4},{"info":"compute unary expreesion, input=4100, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8200","layer":3},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1294","layer":3},{"info":"compute binary expreesion, left_input=8200, right_input=1294, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-13807","layer":2},{"info":"compute binary expreesion, left_input=-6396, right_input=-13807, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12792","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12792, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"(((⫖↰⪸1015≭⫖↰⪸B2B)⇋≉)⫡⨏((⫖↰⪸963-⫖↰⪸1447)⊭∹↮))∀⇚≩((⫖↰⪸3850⨪↰⇹⫖↰⪸1288⩤)⋷(⪲⇎⫖↰⪸2458)⊭↱(≦∁⫖↰⪸8BA))=NaN","reverse_text":"NaN=(((⫖↰⪸1015≭⫖↰⪸B2B)⇋≉)⫡⨏((⫖↰⪸963-⫖↰⪸1447)⊭∹↮))∀⇚≩((⫖↰⪸3850⨪↰⇹⫖↰⪸1288⩤)⋷(⪲⇎⫖↰⪸2458)⊭↱(≦∁⫖↰⪸8BA))","cot":[{"info":"⫖↰⪸1015≭⫖↰⪸B2B=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⫖↰⪸963-⫖↰⪸1447=⫖↰⪸-6A4","layer":3},{"info":"⫖↰⪸-6A4⊭∹↮=⫖↰⪸-6A4","layer":2},{"info":"NaN⫡⨏⫖↰⪸-6A4=NaN","layer":1},{"info":"⫖↰⪸3850⨪↰⇹⫖↰⪸1288=⫖↰⪸3850","layer":3},{"info":"⫖↰⪸3850⩤=⫖↰⪸-3850","layer":2},{"info":"⪲⇎⫖↰⪸2458=⫖↰⪸48B4","layer":3},{"info":"≦∁⫖↰⪸8BA=⫖↰⪸8BA","layer":3},{"info":"⫖↰⪸48B4⊭↱⫖↰⪸8BA=⫖↰⪸-7BA7","layer":2},{"info":"⫖↰⪸-3850⋷⫖↰⪸-7BA7=⫖↰⪸74A0","layer":1},{"info":"NaN∀⇚≩⫖↰⪸74A0=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"($3863$≹⇙⪍$2350$↬(⊄⩳↩$2617$))⨪↰⇹(⋗⩬⋾$3459$⋥≓≎$1079$)⪄(⊄⩳↩(↔($1443$⪐)))","expression":"(⫖↰⪸229B≹⇙⪍⫖↰⪸143A↬(⊄⩳↩⫖↰⪸1621))⨪↰⇹(⋗⩬⋾⫖↰⪸2003⋥≓≎⫖↰⪸75B)⪄(⊄⩳↩(↔(⫖↰⪸A03⪐)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47,"operation_count":10,"complexity_ratio":4.7,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3863,"base":12},"right_expr":{"type":"numeric_atoms","value":2350,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2617,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3459,"base":12},"right_expr":{"type":"numeric_atoms","value":1079,"base":12}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1443,"base":12}}}}},"used_operators":["SUmda5xLS4","tmPS8pqC7x","B5M0gjZbta","AHs5Up7iyr","8w2t5hMYqp","DpFCA1CohY","Qy55tPpLXF","ruOEQAzv1W","eH2TOUuTDT"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","rGHVDoGpnC","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3863","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=2350, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2617","layer":4},{"info":"compute unary expreesion, input=2617, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7851","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7851, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3459","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=1079, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1268","layer":3},{"info":"compute unary expreesion, input=-1268, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=3804","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3804, 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=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2886","layer":3},{"info":"compute unary expreesion, input=2886, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2613","layer":2},{"info":"compute unary expreesion, input=-2613, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=7839","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7839, 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":"(⫖↰⪸229B≹⇙⪍⫖↰⪸143A↬(⊄⩳↩⫖↰⪸1621))⨪↰⇹(⋗⩬⋾⫖↰⪸2003⋥≓≎⫖↰⪸75B)⪄(⊄⩳↩(↔(⫖↰⪸A03⪐)))=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸229B≹⇙⪍⫖↰⪸143A↬(⊄⩳↩⫖↰⪸1621))⨪↰⇹(⋗⩬⋾⫖↰⪸2003⋥≓≎⫖↰⪸75B)⪄(⊄⩳↩(↔(⫖↰⪸A03⪐)))","cot":[{"info":"⫖↰⪸229B≹⇙⪍⫖↰⪸143A=NaN","layer":3},{"info":"⊄⩳↩⫖↰⪸1621=⫖↰⪸-4663","layer":3},{"info":"NaN↬⫖↰⪸-4663=NaN","layer":2},{"info":"⫖↰⪸2003⋥≓≎⫖↰⪸75B=⫖↰⪸-898","layer":3},{"info":"⋗⩬⋾⫖↰⪸-898=⫖↰⪸2250","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸2250=NaN","layer":1},{"info":"⫖↰⪸A03⪐=⫖↰⪸1806","layer":3},{"info":"↔⫖↰⪸1806=⫖↰⪸-1619","layer":2},{"info":"⊄⩳↩⫖↰⪸-1619=⫖↰⪸4653","layer":1},{"info":"NaN⪄⫖↰⪸4653=⫖↰⪸2377","layer":0}]}
{"id":800,"expression_no_base_symbol":"(⨈⫕(($4719$↬$1365$)∧))⋥≓≎(($2608$⫡⨏$1181$⫡⨏$2241$⨟⋌⩍$2723$)⊭∹↮)","expression":"(⨈⫕((⫖↰⪸2893↬⫖↰⪸959)∧))⋥≓≎((⫖↰⪸1614⫡⨏⫖↰⪸825⫡⨏⫖↰⪸1369⨟⋌⩍⫖↰⪸16AB)⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":420,"operation_count":8,"complexity_ratio":52.5,"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":4719,"base":12},"right_expr":{"type":"numeric_atoms","value":1365,"base":12}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2608,"base":12},"right_expr":{"type":"numeric_atoms","value":1181,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2241,"base":12},"right_expr":{"type":"numeric_atoms","value":2723,"base":12}}}}},"used_operators":["Qy55tPpLXF","megm06wKyl","z63VuFQld9","B5M0gjZbta","xNBdhnnwKq","QMFrweE19q","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4719","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=4719, right_input=1365, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 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=2608","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=1181, 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=16185","layer":3},{"info":"number node, value=2241","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=2723, 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=16185, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕((⫖↰⪸2893↬⫖↰⪸959)∧))⋥≓≎((⫖↰⪸1614⫡⨏⫖↰⪸825⫡⨏⫖↰⪸1369⨟⋌⩍⫖↰⪸16AB)⊭∹↮)=NaN","reverse_text":"NaN=(⨈⫕((⫖↰⪸2893↬⫖↰⪸959)∧))⋥≓≎((⫖↰⪸1614⫡⨏⫖↰⪸825⫡⨏⫖↰⪸1369⨟⋌⩍⫖↰⪸16AB)⊭∹↮)","cot":[{"info":"⫖↰⪸2893↬⫖↰⪸959=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸1614⫡⨏⫖↰⪸825=⫖↰⪸9449","layer":3},{"info":"⫖↰⪸1369⨟⋌⩍⫖↰⪸16AB=NaN","layer":3},{"info":"⫖↰⪸9449⫡⨏NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⫖↰⪸-19⋥≓≎NaN=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"(($9224$⨎$4386$)≎⊠⪸($4125$⨁⊸⫻)⪄($3878$⋷$4935$⪨≂$2548$↬$6221$))⪛(($1460$⇷$1318$⫡⨏(⨑⩽⪐$2342$))⨐⩸⫘($4111$≹⇙⪍$2153$⊭↱$7217$⨓$1399$))","expression":"((⫖↰⪸5408⨎⫖↰⪸2656)≎⊠⪸(⫖↰⪸2479⨁⊸⫻)⪄(⫖↰⪸22B2⋷⫖↰⪸2A33⪨≂⫖↰⪸1584↬⫖↰⪸3725))⪛((⫖↰⪸A18⇷⫖↰⪸91A⫡⨏(⨑⩽⪐⫖↰⪸1432))⨐⩸⫘(⫖↰⪸2467≹⇙⪍⫖↰⪸12B5⊭↱⫖↰⪸4215⨓⫖↰⪸987))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22249,"operation_count":15,"complexity_ratio":1483.2666666666667,"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":9224,"base":12},"right_expr":{"type":"numeric_atoms","value":4386,"base":12}},"right_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":"numeric_atoms","value":3878,"base":12},"right_expr":{"type":"numeric_atoms","value":4935,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2548,"base":12},"right_expr":{"type":"numeric_atoms","value":6221,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1460,"base":12},"right_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2342,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4111,"base":12},"right_expr":{"type":"numeric_atoms","value":2153,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7217,"base":12},"right_expr":{"type":"numeric_atoms","value":1399,"base":12}}}}},"used_operators":["uFcxV4UQCh","SUmda5xLS4","bJkvcejdHO","rJVOvQCfKK","glklzrTFfD","sdazOOVcIp","23Mk6UjR3U","B5M0gjZbta","fu6greOZ01","QMFrweE19q","mp7IySMOzn","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9224","layer":4},{"info":"number node, value=4386","layer":4},{"info":"compute binary expreesion, left_input=9224, right_input=4386, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4386","layer":3},{"info":"number node, value=4125","layer":4},{"info":"compute unary expreesion, input=4125, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4125","layer":3},{"info":"compute binary expreesion, left_input=4386, right_input=4125, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1135501","layer":2},{"info":"number node, value=3878","layer":4},{"info":"number node, value=4935","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=4935, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5992","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=6221","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=6221, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5992, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1135501, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=1460","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=1318, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2636","layer":3},{"info":"number node, value=2342","layer":4},{"info":"compute unary expreesion, input=2342, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2069","layer":3},{"info":"compute binary expreesion, left_input=2636, right_input=-2069, 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=9825","layer":2},{"info":"number node, value=4111","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=4111, right_input=2153, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=7217","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=7217, right_input=1399, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1402","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1402, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9825, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸5408⨎⫖↰⪸2656)≎⊠⪸(⫖↰⪸2479⨁⊸⫻)⪄(⫖↰⪸22B2⋷⫖↰⪸2A33⪨≂⫖↰⪸1584↬⫖↰⪸3725))⪛((⫖↰⪸A18⇷⫖↰⪸91A⫡⨏(⨑⩽⪐⫖↰⪸1432))⨐⩸⫘(⫖↰⪸2467≹⇙⪍⫖↰⪸12B5⊭↱⫖↰⪸4215⨓⫖↰⪸987))=NaN","reverse_text":"NaN=((⫖↰⪸5408⨎⫖↰⪸2656)≎⊠⪸(⫖↰⪸2479⨁⊸⫻)⪄(⫖↰⪸22B2⋷⫖↰⪸2A33⪨≂⫖↰⪸1584↬⫖↰⪸3725))⪛((⫖↰⪸A18⇷⫖↰⪸91A⫡⨏(⨑⩽⪐⫖↰⪸1432))⨐⩸⫘(⫖↰⪸2467≹⇙⪍⫖↰⪸12B5⊭↱⫖↰⪸4215⨓⫖↰⪸987))","cot":[{"info":"⫖↰⪸5408⨎⫖↰⪸2656=⫖↰⪸2656","layer":3},{"info":"⫖↰⪸2479⨁⊸⫻=⫖↰⪸2479","layer":3},{"info":"⫖↰⪸2656≎⊠⪸⫖↰⪸2479=⫖↰⪸469151","layer":2},{"info":"⫖↰⪸22B2⋷⫖↰⪸2A33=⫖↰⪸3574","layer":3},{"info":"⫖↰⪸1584↬⫖↰⪸3725=NaN","layer":3},{"info":"⫖↰⪸3574⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸469151⪄NaN=NaN","layer":1},{"info":"⫖↰⪸A18⇷⫖↰⪸91A=⫖↰⪸1638","layer":3},{"info":"⨑⩽⪐⫖↰⪸1432=⫖↰⪸-1245","layer":3},{"info":"⫖↰⪸1638⫡⨏⫖↰⪸-1245=⫖↰⪸5829","layer":2},{"info":"⫖↰⪸2467≹⇙⪍⫖↰⪸12B5=NaN","layer":3},{"info":"⫖↰⪸4215⨓⫖↰⪸987=⫖↰⪸-98A","layer":3},{"info":"NaN⊭↱⫖↰⪸-98A=NaN","layer":2},{"info":"⫖↰⪸5829⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"⨰⫟⨤(⨑⩽⪐(⊥($6471$/$8011$)))","expression":"⨰⫟⨤(⨑⩽⪐(⊥(⫖↰⪸38B3/⫖↰⪸4777)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2325,"operation_count":4,"complexity_ratio":581.25,"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":6471,"base":12},"right_expr":{"type":"numeric_atoms","value":8011,"base":12}}}}},"used_operators":["Tw270M8GLb","AF7qkfDlqP","Q3PJZHRvZv","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6471","layer":4},{"info":"number node, value=8011","layer":4},{"info":"compute binary expreesion, left_input=6471, right_input=8011, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":1},{"info":"compute unary expreesion, input=789, 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":"⨰⫟⨤(⨑⩽⪐(⊥(⫖↰⪸38B3/⫖↰⪸4777)))=NaN","reverse_text":"NaN=⨰⫟⨤(⨑⩽⪐(⊥(⫖↰⪸38B3/⫖↰⪸4777)))","cot":[{"info":"⫖↰⪸38B3/⫖↰⪸4777=⫖↰⪸0","layer":3},{"info":"⊥⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⨑⩽⪐⫖↰⪸0=⫖↰⪸559","layer":1},{"info":"⨰⫟⨤⫖↰⪸559=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"((↩$2944$)⊴(⨈⫕$2412$)⊪)≧⫂∧(⨈⫕$2518$⩚⊴⇥$1051$)⪛(⨵≀≌(⨞⊢$1227$))","expression":"((↩⫖↰⪸1854)⊴(⨈⫕⫖↰⪸1490)⊪)≧⫂∧(⨈⫕⫖↰⪸155A⩚⊴⇥⫖↰⪸737)⪛(⨵≀≌(⨞⊢⫖↰⪸863))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10155,"operation_count":10,"complexity_ratio":1015.5,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2944,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2412,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2518,"base":12},"right_expr":{"type":"numeric_atoms","value":1051,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1227,"base":12}}}}},"used_operators":["Ph9nP6C5qx","zVYPLywUTj","Nsiff2A1zJ","jLgFTUHLKL","megm06wKyl","uFcxV4UQCh","NTOWxs364D","srAu1WTS94","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸7A7717","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20772","layer":3},{"info":"number node, value=2412","layer":4},{"info":"compute unary expreesion, input=2412, 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=-20772, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"number node, value=2518","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=1051, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3690","layer":3},{"info":"compute unary expreesion, input=-3690, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1401","layer":3},{"info":"compute unary expreesion, input=-1401, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1962801","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=1962801, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1962780","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1962780, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1962307","layer":0}],"base":12,"result_base":12,"text":"((↩⫖↰⪸1854)⊴(⨈⫕⫖↰⪸1490)⊪)≧⫂∧(⨈⫕⫖↰⪸155A⩚⊴⇥⫖↰⪸737)⪛(⨵≀≌(⨞⊢⫖↰⪸863))=⫖↰⪸7A7717","reverse_text":"⫖↰⪸7A7717=((↩⫖↰⪸1854)⊴(⨈⫕⫖↰⪸1490)⊪)≧⫂∧(⨈⫕⫖↰⪸155A⩚⊴⇥⫖↰⪸737)⪛(⨵≀≌(⨞⊢⫖↰⪸863))","cot":[{"info":"↩⫖↰⪸1854=⫖↰⪸-10030","layer":3},{"info":"⨈⫕⫖↰⪸1490=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-10030⊴⫖↰⪸-19=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⫖↰⪸155A⩚⊴⇥⫖↰⪸737=⫖↰⪸-2176","layer":3},{"info":"⨈⫕⫖↰⪸-2176=⫖↰⪸-19","layer":2},{"info":"⨞⊢⫖↰⪸863=⫖↰⪸-989","layer":3},{"info":"⨵≀≌⫖↰⪸-989=⫖↰⪸7A7A69","layer":2},{"info":"⫖↰⪸-19⪛⫖↰⪸7A7A69=⫖↰⪸7A7A50","layer":1},{"info":"NaN≧⫂∧⫖↰⪸7A7A50=⫖↰⪸7A7717","layer":0}]}
{"id":804,"expression_no_base_symbol":"(($7059$⨸⪁$2712$*$1052$⫥∨⫟$1204$)⋝⋈⪟(($1504$⪒$4504$)∲⫓(⪲⇎$1240$)))⊴(($3132$⨵⪆$1241$)⫥∨⫟($1433$∲⫓$4239$)-((↯⪼$1560$)⨵⪆(↥$5073$)))","expression":"((⫖↰⪸4103⨸⪁⫖↰⪸16A0*⫖↰⪸738⫥∨⫟⫖↰⪸844)⋝⋈⪟((⫖↰⪸A54⪒⫖↰⪸2734)∲⫓(⪲⇎⫖↰⪸874)))⊴((⫖↰⪸1990⨵⪆⫖↰⪸875)⫥∨⫟(⫖↰⪸9B5∲⫓⫖↰⪸2553)-((↯⪼⫖↰⪸AA0)⨵⪆(↥⫖↰⪸2B29)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":464,"operation_count":15,"complexity_ratio":30.933333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7059,"base":12},"right_expr":{"type":"numeric_atoms","value":2712,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1052,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":4504,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1240,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3132,"base":12},"right_expr":{"type":"numeric_atoms","value":1241,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1433,"base":12},"right_expr":{"type":"numeric_atoms","value":4239,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1560,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5073,"base":12}}}}},"used_operators":["Nsiff2A1zJ","2DDjHMKMc0","9HNa5Wba9A","g55IO6H4Gj","KYD54nUTWz","i8ToyICDmI","f6k1SAg4EE","XPYlsWDdGa","rysDP5nf3Z","2DQ55sFlQl","8jW3W4yZS5","A8NUZmVepG"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7059","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=7059, right_input=2712, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19542","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1204, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19542, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1504","layer":4},{"info":"number node, value=4504","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=4504, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6008","layer":3},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2480","layer":3},{"info":"compute binary expreesion, left_input=-6008, right_input=2480, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3132","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=1241, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1433","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=4239, 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=160, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, 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=5073","layer":4},{"info":"compute unary expreesion, input=5073, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=24, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4103⨸⪁⫖↰⪸16A0*⫖↰⪸738⫥∨⫟⫖↰⪸844)⋝⋈⪟((⫖↰⪸A54⪒⫖↰⪸2734)∲⫓(⪲⇎⫖↰⪸874)))⊴((⫖↰⪸1990⨵⪆⫖↰⪸875)⫥∨⫟(⫖↰⪸9B5∲⫓⫖↰⪸2553)-((↯⪼⫖↰⪸AA0)⨵⪆(↥⫖↰⪸2B29)))=NaN","reverse_text":"NaN=((⫖↰⪸4103⨸⪁⫖↰⪸16A0*⫖↰⪸738⫥∨⫟⫖↰⪸844)⋝⋈⪟((⫖↰⪸A54⪒⫖↰⪸2734)∲⫓(⪲⇎⫖↰⪸874)))⊴((⫖↰⪸1990⨵⪆⫖↰⪸875)⫥∨⫟(⫖↰⪸9B5∲⫓⫖↰⪸2553)-((↯⪼⫖↰⪸AA0)⨵⪆(↥⫖↰⪸2B29)))","cot":[{"info":"⫖↰⪸4103⨸⪁⫖↰⪸16A0=⫖↰⪸B386","layer":3},{"info":"⫖↰⪸738⫥∨⫟⫖↰⪸844=NaN","layer":3},{"info":"⫖↰⪸B386*NaN=NaN","layer":2},{"info":"⫖↰⪸A54⪒⫖↰⪸2734=⫖↰⪸-3588","layer":3},{"info":"⪲⇎⫖↰⪸874=⫖↰⪸1528","layer":3},{"info":"⫖↰⪸-3588∲⫓⫖↰⪸1528=⫖↰⪸0","layer":2},{"info":"NaN⋝⋈⪟⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸1990⨵⪆⫖↰⪸875=⫖↰⪸114","layer":3},{"info":"⫖↰⪸9B5∲⫓⫖↰⪸2553=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"↯⪼⫖↰⪸AA0=⫖↰⪸-19","layer":3},{"info":"↥⫖↰⪸2B29=⫖↰⪸20","layer":3},{"info":"⫖↰⪸-19⨵⪆⫖↰⪸20=⫖↰⪸114","layer":2},{"info":"NaN-⫖↰⪸114=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"((⨈⫕$1463$)⪐)⋷$2255$⨟⋌⩍$9090$⋳⪒($1123$-$1614$)⋷(↥(⨵≀≌$4567$))⨟⋌⩍(($2789$⋫)⨪↰⇹(∂$1297$))","expression":"((⨈⫕⫖↰⪸A1B)⪐)⋷⫖↰⪸137B⨟⋌⩍⫖↰⪸5316⋳⪒(⫖↰⪸797-⫖↰⪸B26)⋷(↥(⨵≀≌⫖↰⪸2787))⨟⋌⩍((⫖↰⪸1745⋫)⨪↰⇹(∂⫖↰⪸901))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6252,"operation_count":13,"complexity_ratio":480.9230769230769,"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":1463,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2255,"base":12},"right_expr":{"type":"numeric_atoms","value":9090,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1123,"base":12},"right_expr":{"type":"numeric_atoms","value":1614,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4567,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2789,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1297,"base":12}}}}},"used_operators":["23Mk6UjR3U","eH2TOUuTDT","megm06wKyl","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","A8NUZmVepG","srAu1WTS94","tmPS8pqC7x","JL8yIekQnl","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","tmPS8pqC7x","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⫖↰⪸-120","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-42","layer":2},{"info":"number node, value=2255","layer":4},{"info":"number node, value=9090","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=9090, 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=1123","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1614, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-491","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-491, 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=-42, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=84","layer":1},{"info":"number node, value=4567","layer":4},{"info":"compute unary expreesion, input=4567, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13701","layer":3},{"info":"compute unary expreesion, input=-13701, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":2},{"info":"number node, value=2789","layer":4},{"info":"compute unary expreesion, input=2789, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2789","layer":3},{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, 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=2789, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2789","layer":2},{"info":"compute binary expreesion, left_input=18, right_input=2789, 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=84, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-168","layer":0}],"base":12,"result_base":12,"text":"((⨈⫕⫖↰⪸A1B)⪐)⋷⫖↰⪸137B⨟⋌⩍⫖↰⪸5316⋳⪒(⫖↰⪸797-⫖↰⪸B26)⋷(↥(⨵≀≌⫖↰⪸2787))⨟⋌⩍((⫖↰⪸1745⋫)⨪↰⇹(∂⫖↰⪸901))=⫖↰⪸-120","reverse_text":"⫖↰⪸-120=((⨈⫕⫖↰⪸A1B)⪐)⋷⫖↰⪸137B⨟⋌⩍⫖↰⪸5316⋳⪒(⫖↰⪸797-⫖↰⪸B26)⋷(↥(⨵≀≌⫖↰⪸2787))⨟⋌⩍((⫖↰⪸1745⋫)⨪↰⇹(∂⫖↰⪸901))","cot":[{"info":"⨈⫕⫖↰⪸A1B=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19⪐=⫖↰⪸-36","layer":2},{"info":"⫖↰⪸137B⨟⋌⩍⫖↰⪸5316=NaN","layer":3},{"info":"⫖↰⪸797-⫖↰⪸B26=⫖↰⪸-34B","layer":3},{"info":"NaN⋳⪒⫖↰⪸-34B=NaN","layer":2},{"info":"⫖↰⪸-36⋷NaN=⫖↰⪸70","layer":1},{"info":"⨵≀≌⫖↰⪸2787=⫖↰⪸-7B19","layer":3},{"info":"↥⫖↰⪸-7B19=⫖↰⪸16","layer":2},{"info":"⫖↰⪸1745⋫=⫖↰⪸1745","layer":3},{"info":"∂⫖↰⪸901=NaN","layer":3},{"info":"⫖↰⪸1745⨪↰⇹NaN=⫖↰⪸1745","layer":2},{"info":"⫖↰⪸16⨟⋌⩍⫖↰⪸1745=NaN","layer":1},{"info":"⫖↰⪸70⋷NaN=⫖↰⪸-120","layer":0}]}
{"id":806,"expression_no_base_symbol":"($3216$≹⇙⪍$4121$⋥≓≎$4454$⨓$1275$⨳⩥⨓((⨵≀≌$4194$)⨳⩥⨓($1014$⪨≂$3891$)))⨽(($5677$⨵⪆$1400$)⪮%⊝($3525$⪛$3710$)/($1102$⨳⩥⨓$1133$)∑⇟⊟($1002$⨽$2238$))","expression":"(⫖↰⪸1A40≹⇙⪍⫖↰⪸2475⋥≓≎⫖↰⪸26B2⨓⫖↰⪸8A3⨳⩥⨓((⨵≀≌⫖↰⪸2516)⨳⩥⨓(⫖↰⪸706⪨≂⫖↰⪸2303)))⨽((⫖↰⪸3351⨵⪆⫖↰⪸988)⪮%⊝(⫖↰⪸2059⪛⫖↰⪸2192)/(⫖↰⪸77A⨳⩥⨓⫖↰⪸7A5)∑⇟⊟(⫖↰⪸6B6⨽⫖↰⪸1366))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9200,"operation_count":15,"complexity_ratio":613.3333333333334,"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":3216,"base":12},"right_expr":{"type":"numeric_atoms","value":4121,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4454,"base":12},"right_expr":{"type":"numeric_atoms","value":1275,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4194,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":3891,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5677,"base":12},"right_expr":{"type":"numeric_atoms","value":1400,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3525,"base":12},"right_expr":{"type":"numeric_atoms","value":3710,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1102,"base":12},"right_expr":{"type":"numeric_atoms","value":1133,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":2238,"base":12}}}}},"used_operators":["8HhzD0ZcuI","nCS4ZIUYfx","Qy55tPpLXF","AHs5Up7iyr","3ViojmjbAp","srAu1WTS94","sdazOOVcIp","XhwjNDsVaA","IWmyXbctLI","2DQ55sFlQl","uFcxV4UQCh","U7g4x0WXJJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3216","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=4121, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4454","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=1275, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1278","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1278, 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=4194","layer":4},{"info":"compute unary expreesion, input=4194, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12582","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3891, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5652","layer":3},{"info":"compute binary expreesion, left_input=-12582, right_input=-5652, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6930","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=6930, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6863","layer":1},{"info":"number node, value=5677","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=5677, right_input=1400, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3525","layer":4},{"info":"number node, value=3710","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=3710, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3525","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3525, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=636","layer":2},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1133, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=31","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2238, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3017412","layer":3},{"info":"compute binary expreesion, left_input=31, right_input=-3017412, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=636, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6863, 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":"(⫖↰⪸1A40≹⇙⪍⫖↰⪸2475⋥≓≎⫖↰⪸26B2⨓⫖↰⪸8A3⨳⩥⨓((⨵≀≌⫖↰⪸2516)⨳⩥⨓(⫖↰⪸706⪨≂⫖↰⪸2303)))⨽((⫖↰⪸3351⨵⪆⫖↰⪸988)⪮%⊝(⫖↰⪸2059⪛⫖↰⪸2192)/(⫖↰⪸77A⨳⩥⨓⫖↰⪸7A5)∑⇟⊟(⫖↰⪸6B6⨽⫖↰⪸1366))=NaN","reverse_text":"NaN=(⫖↰⪸1A40≹⇙⪍⫖↰⪸2475⋥≓≎⫖↰⪸26B2⨓⫖↰⪸8A3⨳⩥⨓((⨵≀≌⫖↰⪸2516)⨳⩥⨓(⫖↰⪸706⪨≂⫖↰⪸2303)))⨽((⫖↰⪸3351⨵⪆⫖↰⪸988)⪮%⊝(⫖↰⪸2059⪛⫖↰⪸2192)/(⫖↰⪸77A⨳⩥⨓⫖↰⪸7A5)∑⇟⊟(⫖↰⪸6B6⨽⫖↰⪸1366))","cot":[{"info":"⫖↰⪸1A40≹⇙⪍⫖↰⪸2475=NaN","layer":3},{"info":"⫖↰⪸26B2⨓⫖↰⪸8A3=⫖↰⪸-8A6","layer":3},{"info":"NaN⋥≓≎⫖↰⪸-8A6=⫖↰⪸57","layer":2},{"info":"⨵≀≌⫖↰⪸2516=⫖↰⪸-7346","layer":3},{"info":"⫖↰⪸706⪨≂⫖↰⪸2303=⫖↰⪸-3330","layer":3},{"info":"⫖↰⪸-7346⨳⩥⨓⫖↰⪸-3330=⫖↰⪸4016","layer":2},{"info":"⫖↰⪸57⨳⩥⨓⫖↰⪸4016=⫖↰⪸3B7B","layer":1},{"info":"⫖↰⪸3351⨵⪆⫖↰⪸988=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2059⪛⫖↰⪸2192=⫖↰⪸2059","layer":3},{"info":"⫖↰⪸114⪮%⊝⫖↰⪸2059=⫖↰⪸450","layer":2},{"info":"⫖↰⪸77A⨳⩥⨓⫖↰⪸7A5=⫖↰⪸27","layer":3},{"info":"⫖↰⪸6B6⨽⫖↰⪸1366=⫖↰⪸-1016230","layer":3},{"info":"⫖↰⪸27∑⇟⊟⫖↰⪸-1016230=NaN","layer":2},{"info":"⫖↰⪸450/NaN=NaN","layer":1},{"info":"⫖↰⪸3B7B⨽NaN=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"((⇁⨣⪵$1180$)⨓($3939$≧⫂∧$7793$))⨪↰⇹(($1909$⇼⇔∾$1035$)↙($1485$⪨≂$8663$))+(⪲⇎(⪲⇎$1567$)⊴($5417$⇷$1672$))","expression":"((⇁⨣⪵⫖↰⪸824)⨓(⫖↰⪸2343≧⫂∧⫖↰⪸4615))⨪↰⇹((⫖↰⪸1131⇼⇔∾⫖↰⪸723)↙(⫖↰⪸A39⪨≂⫖↰⪸501B))+(⪲⇎(⪲⇎⫖↰⪸AA7)⊴(⫖↰⪸3175⇷⫖↰⪸B74))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":93858,"operation_count":12,"complexity_ratio":7821.5,"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":1180,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3939,"base":12},"right_expr":{"type":"numeric_atoms","value":7793,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1909,"base":12},"right_expr":{"type":"numeric_atoms","value":1035,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1485,"base":12},"right_expr":{"type":"numeric_atoms","value":8663,"base":12}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1567,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5417,"base":12},"right_expr":{"type":"numeric_atoms","value":1672,"base":12}}}}},"used_operators":["W4YGzv6Whe","tmPS8pqC7x","3ViojmjbAp","inkyxCbjAn","Ph9nP6C5qx","yyfyN0ffXY","tifHPKVTfV","sdazOOVcIp","XPYlsWDdGa","Nsiff2A1zJ","mp7IySMOzn"],"dependent_operators":["rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3939","layer":4},{"info":"number node, value=7793","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=7793, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7320","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7320, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7323","layer":2},{"info":"number node, value=1909","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=1035, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-874","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=8663","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=8663, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14254","layer":3},{"info":"compute binary expreesion, left_input=-874, right_input=-14254, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-874","layer":2},{"info":"compute binary expreesion, left_input=-7323, right_input=-874, 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=7323","layer":1},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3134","layer":3},{"info":"number node, value=5417","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=5417, right_input=1672, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3344","layer":3},{"info":"compute binary expreesion, left_input=3134, right_input=3344, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7323, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇁⨣⪵⫖↰⪸824)⨓(⫖↰⪸2343≧⫂∧⫖↰⪸4615))⨪↰⇹((⫖↰⪸1131⇼⇔∾⫖↰⪸723)↙(⫖↰⪸A39⪨≂⫖↰⪸501B))+(⪲⇎(⪲⇎⫖↰⪸AA7)⊴(⫖↰⪸3175⇷⫖↰⪸B74))=NaN","reverse_text":"NaN=((⇁⨣⪵⫖↰⪸824)⨓(⫖↰⪸2343≧⫂∧⫖↰⪸4615))⨪↰⇹((⫖↰⪸1131⇼⇔∾⫖↰⪸723)↙(⫖↰⪸A39⪨≂⫖↰⪸501B))+(⪲⇎(⪲⇎⫖↰⪸AA7)⊴(⫖↰⪸3175⇷⫖↰⪸B74))","cot":[{"info":"⇁⨣⪵⫖↰⪸824=NaN","layer":3},{"info":"⫖↰⪸2343≧⫂∧⫖↰⪸4615=⫖↰⪸42A0","layer":3},{"info":"NaN⨓⫖↰⪸42A0=⫖↰⪸-42A3","layer":2},{"info":"⫖↰⪸1131⇼⇔∾⫖↰⪸723=⫖↰⪸-60A","layer":3},{"info":"⫖↰⪸A39⪨≂⫖↰⪸501B=⫖↰⪸-82BA","layer":3},{"info":"⫖↰⪸-60A↙⫖↰⪸-82BA=⫖↰⪸-60A","layer":2},{"info":"⫖↰⪸-42A3⨪↰⇹⫖↰⪸-60A=⫖↰⪸42A3","layer":1},{"info":"⪲⇎⫖↰⪸AA7=⫖↰⪸1992","layer":3},{"info":"⫖↰⪸3175⇷⫖↰⪸B74=⫖↰⪸1B28","layer":3},{"info":"⫖↰⪸1992⊴⫖↰⪸1B28=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⫖↰⪸42A3+NaN=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"⨞⊢$3263$⪮%⊝$6927$⪛($2524$⋳⪒$1173$)⨰($8065$⨵⪆$7393$+(⊄⩳↩$9707$))","expression":"⨞⊢⫖↰⪸1A7B⪮%⊝⫖↰⪸4013⪛(⫖↰⪸1564⋳⪒⫖↰⪸819)⨰(⫖↰⪸4801⨵⪆⫖↰⪸4341+(⊄⩳↩⫖↰⪸574B))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33,"operation_count":8,"complexity_ratio":4.125,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3263,"base":12},"right_expr":{"type":"numeric_atoms","value":6927,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2524,"base":12},"right_expr":{"type":"numeric_atoms","value":1173,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8065,"base":12},"right_expr":{"type":"numeric_atoms","value":7393,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":9707,"base":12}}}}},"used_operators":["xUOZtlo3hN","eewbuw0ToL","uFcxV4UQCh","IWmyXbctLI","12rbrZMWeM","W4YGzv6Whe","2DQ55sFlQl","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-168BB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3263","layer":4},{"info":"number node, value=6927","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=6927, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6842","layer":3},{"info":"number node, value=2524","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=1173, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3588","layer":3},{"info":"compute binary expreesion, left_input=6842, right_input=3588, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3254","layer":2},{"info":"number node, value=8065","layer":4},{"info":"number node, value=7393","layer":4},{"info":"compute binary expreesion, left_input=8065, right_input=7393, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=9707","layer":4},{"info":"compute unary expreesion, input=9707, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-29121","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-29121, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-28961","layer":2},{"info":"compute binary expreesion, left_input=3254, right_input=-28961, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=32225","layer":1},{"info":"compute unary expreesion, input=32225, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-32399","layer":0}],"base":12,"result_base":12,"text":"⨞⊢⫖↰⪸1A7B⪮%⊝⫖↰⪸4013⪛(⫖↰⪸1564⋳⪒⫖↰⪸819)⨰(⫖↰⪸4801⨵⪆⫖↰⪸4341+(⊄⩳↩⫖↰⪸574B))=⫖↰⪸-168BB","reverse_text":"⫖↰⪸-168BB=⨞⊢⫖↰⪸1A7B⪮%⊝⫖↰⪸4013⪛(⫖↰⪸1564⋳⪒⫖↰⪸819)⨰(⫖↰⪸4801⨵⪆⫖↰⪸4341+(⊄⩳↩⫖↰⪸574B))","cot":[{"info":"⫖↰⪸1A7B⪮%⊝⫖↰⪸4013=⫖↰⪸3B62","layer":3},{"info":"⫖↰⪸1564⋳⪒⫖↰⪸819=⫖↰⪸20B0","layer":3},{"info":"⫖↰⪸3B62⪛⫖↰⪸20B0=⫖↰⪸1A72","layer":2},{"info":"⫖↰⪸4801⨵⪆⫖↰⪸4341=⫖↰⪸114","layer":3},{"info":"⊄⩳↩⫖↰⪸574B=⫖↰⪸-14A29","layer":3},{"info":"⫖↰⪸114+⫖↰⪸-14A29=⫖↰⪸-14915","layer":2},{"info":"⫖↰⪸1A72⨰⫖↰⪸-14915=⫖↰⪸16795","layer":1},{"info":"⨞⊢⫖↰⪸16795=⫖↰⪸-168BB","layer":0}]}
{"id":809,"expression_no_base_symbol":"($1040$+$2843$+$2240$⪢$7695$)⨽$4970$⨪↰⇹$2707$⨰($3141$≋⫹)⋷(((⩦⩻⨪$2935$)⩠)/$1577$⨎$3060$⊉≛↸$2371$⪄$1103$)","expression":"(⫖↰⪸728+⫖↰⪸178B+⫖↰⪸1368⪢⫖↰⪸4553)⨽⫖↰⪸2A62⨪↰⇹⫖↰⪸1697⨰(⫖↰⪸1999≋⫹)⋷(((⩦⩻⨪⫖↰⪸1847)⩠)/⫖↰⪸AB5⨎⫖↰⪸1930⊉≛↸⫖↰⪸1457⪄⫖↰⪸77B)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12808,"operation_count":14,"complexity_ratio":914.8571428571429,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1040,"base":12},"right_expr":{"type":"numeric_atoms","value":2843,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2240,"base":12},"right_expr":{"type":"numeric_atoms","value":7695,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4970,"base":12},"right_expr":{"type":"numeric_atoms","value":2707,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3141,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2935,"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":3060,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2371,"base":12},"right_expr":{"type":"numeric_atoms","value":1103,"base":12}}}}},"used_operators":["23Mk6UjR3U","8HhzD0ZcuI","W4YGzv6Whe","dWAJyo7jo9","eewbuw0ToL","tmPS8pqC7x","N41Kp7NANJ","XhwjNDsVaA","sJAwomhLZr","2td37pGCOC","DZ8iAZOCBD","rJVOvQCfKK","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2843, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3883","layer":3},{"info":"number node, value=2240","layer":4},{"info":"number node, value=7695","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=7695, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=3883, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4970","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=4970, right_input=2707, 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=4970","layer":3},{"info":"number node, value=3141","layer":4},{"info":"compute unary expreesion, input=3141, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6282","layer":3},{"info":"compute binary expreesion, left_input=4970, right_input=-6282, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=11262","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11262, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2935","layer":4},{"info":"compute unary expreesion, input=2935, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2935","layer":3},{"info":"compute unary expreesion, input=2935, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=1577","layer":4},{"info":"number node, value=3060","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=3060, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3060","layer":3},{"info":"number node, value=2371","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=1103, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-351409","layer":3},{"info":"compute binary expreesion, left_input=3060, right_input=-351409, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6120","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6120, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸728+⫖↰⪸178B+⫖↰⪸1368⪢⫖↰⪸4553)⨽⫖↰⪸2A62⨪↰⇹⫖↰⪸1697⨰(⫖↰⪸1999≋⫹)⋷(((⩦⩻⨪⫖↰⪸1847)⩠)/⫖↰⪸AB5⨎⫖↰⪸1930⊉≛↸⫖↰⪸1457⪄⫖↰⪸77B)=NaN","reverse_text":"NaN=(⫖↰⪸728+⫖↰⪸178B+⫖↰⪸1368⪢⫖↰⪸4553)⨽⫖↰⪸2A62⨪↰⇹⫖↰⪸1697⨰(⫖↰⪸1999≋⫹)⋷(((⩦⩻⨪⫖↰⪸1847)⩠)/⫖↰⪸AB5⨎⫖↰⪸1930⊉≛↸⫖↰⪸1457⪄⫖↰⪸77B)","cot":[{"info":"⫖↰⪸728+⫖↰⪸178B=⫖↰⪸22B7","layer":3},{"info":"⫖↰⪸1368⪢⫖↰⪸4553=NaN","layer":3},{"info":"⫖↰⪸22B7+NaN=NaN","layer":2},{"info":"⫖↰⪸2A62⨪↰⇹⫖↰⪸1697=⫖↰⪸2A62","layer":3},{"info":"⫖↰⪸1999≋⫹=⫖↰⪸-3776","layer":3},{"info":"⫖↰⪸2A62⨰⫖↰⪸-3776=⫖↰⪸6626","layer":2},{"info":"NaN⨽⫖↰⪸6626=NaN","layer":1},{"info":"⩦⩻⨪⫖↰⪸1847=⫖↰⪸1847","layer":3},{"info":"⫖↰⪸1847⩠=⫖↰⪸0","layer":2},{"info":"⫖↰⪸AB5⨎⫖↰⪸1930=⫖↰⪸1930","layer":3},{"info":"⫖↰⪸1457⪄⫖↰⪸77B=⫖↰⪸-14B441","layer":3},{"info":"⫖↰⪸1930⊉≛↸⫖↰⪸-14B441=⫖↰⪸3660","layer":2},{"info":"⫖↰⪸0/⫖↰⪸3660=⫖↰⪸0","layer":1},{"info":"NaN⋷⫖↰⪸0=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"(($2675$⨐⩸⫘$6701$)⨽($1191$⪨≂$1295$))⊴($1210$⪢$7175$⇋≉)⊦⊿","expression":"((⫖↰⪸166B⨐⩸⫘⫖↰⪸3A65)⨽(⫖↰⪸833⪨≂⫖↰⪸8BB))⊴(⫖↰⪸84A⪢⫖↰⪸419B⇋≉)⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7207,"operation_count":7,"complexity_ratio":1029.5714285714287,"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":2675,"base":12},"right_expr":{"type":"numeric_atoms","value":6701,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1191,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":7175,"base":12}}}}},"used_operators":["14qkJME0vr","Nsiff2A1zJ","8HhzD0ZcuI","fu6greOZ01","sdazOOVcIp","XIabStNQrY","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2675","layer":4},{"info":"number node, value=6701","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=6701, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1191","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1295, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-106","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-106, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1210","layer":4},{"info":"number node, value=7175","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=7175, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸166B⨐⩸⫘⫖↰⪸3A65)⨽(⫖↰⪸833⪨≂⫖↰⪸8BB))⊴(⫖↰⪸84A⪢⫖↰⪸419B⇋≉)⊦⊿=NaN","reverse_text":"NaN=((⫖↰⪸166B⨐⩸⫘⫖↰⪸3A65)⨽(⫖↰⪸833⪨≂⫖↰⪸8BB))⊴(⫖↰⪸84A⪢⫖↰⪸419B⇋≉)⊦⊿","cot":[{"info":"⫖↰⪸166B⨐⩸⫘⫖↰⪸3A65=NaN","layer":3},{"info":"⫖↰⪸833⪨≂⫖↰⪸8BB=⫖↰⪸-8A","layer":3},{"info":"NaN⨽⫖↰⪸-8A=NaN","layer":2},{"info":"⫖↰⪸84A⪢⫖↰⪸419B=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"(⫓⪴($2793$-$3262$))⨳⩥⨓(($1678$⨸⪁$1120$)⨳⩥⨓($1464$⇼⇔∾$1851$))⫸⊐(⨈⫕(⨞⊢$6331$⨐⩸⫘$1574$))","expression":"(⫓⪴(⫖↰⪸1749-⫖↰⪸1A7A))⨳⩥⨓((⫖↰⪸B7A⨸⪁⫖↰⪸794)⨳⩥⨓(⫖↰⪸A20⇼⇔∾⫖↰⪸10A3))⫸⊐(⨈⫕(⨞⊢⫖↰⪸37B7⨐⩸⫘⫖↰⪸AB2))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":874,"operation_count":10,"complexity_ratio":87.4,"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":2793,"base":12},"right_expr":{"type":"numeric_atoms","value":3262,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1678,"base":12},"right_expr":{"type":"numeric_atoms","value":1120,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1464,"base":12},"right_expr":{"type":"numeric_atoms","value":1851,"base":12}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6331,"base":12},"right_expr":{"type":"numeric_atoms","value":1574,"base":12}}}}},"used_operators":["mqXw5SEYmG","nCS4ZIUYfx","eLxqMNBOBk","rysDP5nf3Z","g55IO6H4Gj","tifHPKVTfV","megm06wKyl","xUOZtlo3hN","fu6greOZ01"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2793","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=3262, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-469","layer":3},{"info":"compute unary expreesion, input=-469, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=219961","layer":2},{"info":"number node, value=1678","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=1120, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5596","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=1851, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=387","layer":3},{"info":"compute binary expreesion, left_input=5596, right_input=387, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5209","layer":2},{"info":"compute binary expreesion, left_input=219961, right_input=-5209, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-225170","layer":1},{"info":"number node, value=6331","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=6331, right_input=1574, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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=-225170, 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":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸1749-⫖↰⪸1A7A))⨳⩥⨓((⫖↰⪸B7A⨸⪁⫖↰⪸794)⨳⩥⨓(⫖↰⪸A20⇼⇔∾⫖↰⪸10A3))⫸⊐(⨈⫕(⨞⊢⫖↰⪸37B7⨐⩸⫘⫖↰⪸AB2))=⫖↰⪸688","reverse_text":"⫖↰⪸688=(⫓⪴(⫖↰⪸1749-⫖↰⪸1A7A))⨳⩥⨓((⫖↰⪸B7A⨸⪁⫖↰⪸794)⨳⩥⨓(⫖↰⪸A20⇼⇔∾⫖↰⪸10A3))⫸⊐(⨈⫕(⨞⊢⫖↰⪸37B7⨐⩸⫘⫖↰⪸AB2))","cot":[{"info":"⫖↰⪸1749-⫖↰⪸1A7A=⫖↰⪸-331","layer":3},{"info":"⫓⪴⫖↰⪸-331=⫖↰⪸A7361","layer":2},{"info":"⫖↰⪸B7A⨸⪁⫖↰⪸794=⫖↰⪸32A4","layer":3},{"info":"⫖↰⪸A20⇼⇔∾⫖↰⪸10A3=⫖↰⪸283","layer":3},{"info":"⫖↰⪸32A4⨳⩥⨓⫖↰⪸283=⫖↰⪸-3021","layer":2},{"info":"⫖↰⪸A7361⨳⩥⨓⫖↰⪸-3021=⫖↰⪸-AA382","layer":1},{"info":"⫖↰⪸37B7⨐⩸⫘⫖↰⪸AB2=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸-AA382⫸⊐⫖↰⪸-19=⫖↰⪸688","layer":0}]}
{"id":812,"expression_no_base_symbol":"(($2717$%$2815$)≎⊠⪸(⊄⩳↩$4480$))⨪↰⇹($7561$⨟⋌⩍$1911$∸)%($1244$⫸⊐$7266$⩨($6385$⨸⪁$3232$))↙(($5625$%$4660$)⊉≛↸$1348$⨽$2325$)","expression":"((⫖↰⪸16A5%⫖↰⪸1767)≎⊠⪸(⊄⩳↩⫖↰⪸2714))⨪↰⇹(⫖↰⪸4461⨟⋌⩍⫖↰⪸1133∸)%(⫖↰⪸878⫸⊐⫖↰⪸4256⩨(⫖↰⪸3841⨸⪁⫖↰⪸1A54))↙((⫖↰⪸3309%⫖↰⪸2844)⊉≛↸⫖↰⪸944⨽⫖↰⪸1419)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1653,"operation_count":14,"complexity_ratio":118.07142857142857,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2717,"base":12},"right_expr":{"type":"numeric_atoms","value":2815,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4480,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7561,"base":12},"right_expr":{"type":"numeric_atoms","value":1911,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1244,"base":12},"right_expr":{"type":"numeric_atoms","value":7266,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6385,"base":12},"right_expr":{"type":"numeric_atoms","value":3232,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5625,"base":12},"right_expr":{"type":"numeric_atoms","value":4660,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1348,"base":12},"right_expr":{"type":"numeric_atoms","value":2325,"base":12}}}}},"used_operators":["k8jYdgA6NY","tmPS8pqC7x","bJkvcejdHO","8w2t5hMYqp","o20kRiQErp","rGHVDoGpnC","yyfyN0ffXY","2DlMacCsIx","mqXw5SEYmG","g55IO6H4Gj","DZ8iAZOCBD","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=2815, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2717","layer":3},{"info":"number node, value=4480","layer":4},{"info":"compute unary expreesion, input=4480, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13440","layer":3},{"info":"compute binary expreesion, left_input=2717, right_input=-13440, 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=7561","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=7561, right_input=1911, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=177, 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=67","layer":1},{"info":"number node, value=1244","layer":4},{"info":"number node, value=7266","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=7266, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28939","layer":3},{"info":"number node, value=6385","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=6385, right_input=3232, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19234","layer":3},{"info":"compute binary expreesion, left_input=28939, right_input=19234, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=5625","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=5625, right_input=4660, op_id = k8jYdgA6NY binary_op_definition= 'None', output=965","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=2325, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5456973","layer":3},{"info":"compute binary expreesion, left_input=965, right_input=-5456973, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1930","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1930, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸16A5%⫖↰⪸1767)≎⊠⪸(⊄⩳↩⫖↰⪸2714))⨪↰⇹(⫖↰⪸4461⨟⋌⩍⫖↰⪸1133∸)%(⫖↰⪸878⫸⊐⫖↰⪸4256⩨(⫖↰⪸3841⨸⪁⫖↰⪸1A54))↙((⫖↰⪸3309%⫖↰⪸2844)⊉≛↸⫖↰⪸944⨽⫖↰⪸1419)=NaN","reverse_text":"NaN=((⫖↰⪸16A5%⫖↰⪸1767)≎⊠⪸(⊄⩳↩⫖↰⪸2714))⨪↰⇹(⫖↰⪸4461⨟⋌⩍⫖↰⪸1133∸)%(⫖↰⪸878⫸⊐⫖↰⪸4256⩨(⫖↰⪸3841⨸⪁⫖↰⪸1A54))↙((⫖↰⪸3309%⫖↰⪸2844)⊉≛↸⫖↰⪸944⨽⫖↰⪸1419)","cot":[{"info":"⫖↰⪸16A5%⫖↰⪸1767=⫖↰⪸16A5","layer":3},{"info":"⊄⩳↩⫖↰⪸2714=⫖↰⪸-7940","layer":3},{"info":"⫖↰⪸16A5≎⊠⪸⫖↰⪸-7940=⫖↰⪸57","layer":2},{"info":"⫖↰⪸4461⨟⋌⩍⫖↰⪸1133=NaN","layer":3},{"info":"NaN∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸57⨪↰⇹⫖↰⪸129=⫖↰⪸57","layer":1},{"info":"⫖↰⪸878⫸⊐⫖↰⪸4256=⫖↰⪸148B7","layer":3},{"info":"⫖↰⪸3841⨸⪁⫖↰⪸1A54=⫖↰⪸B16A","layer":3},{"info":"⫖↰⪸148B7⩨⫖↰⪸B16A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3309%⫖↰⪸2844=⫖↰⪸685","layer":3},{"info":"⫖↰⪸944⨽⫖↰⪸1419=⫖↰⪸-19B1B79","layer":3},{"info":"⫖↰⪸685⊉≛↸⫖↰⪸-19B1B79=⫖↰⪸114A","layer":2},{"info":"⫖↰⪸0↙⫖↰⪸114A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸57%⫖↰⪸0=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"(⊥($3509$⫡⨏$1141$))⋳⪒((⨰⫟⨤$3160$)↺$1792$∼$1592$)⨽((⫓⪴$1834$)⊭↱($3886$⊉≛↸$3784$)∲⫓(($3940$⫡⨏$5214$)⊪))","expression":"(⊥(⫖↰⪸2045⫡⨏⫖↰⪸7B1))⋳⪒((⨰⫟⨤⫖↰⪸19B4)↺⫖↰⪸1054∼⫖↰⪸B08)⨽((⫓⪴⫖↰⪸108A)⊭↱(⫖↰⪸22BA⊉≛↸⫖↰⪸2234)∲⫓((⫖↰⪸2344⫡⨏⫖↰⪸3026)⊪))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13747,"operation_count":13,"complexity_ratio":1057.4615384615386,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3509,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3160,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1792,"base":12},"right_expr":{"type":"numeric_atoms","value":1592,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1834,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3886,"base":12},"right_expr":{"type":"numeric_atoms","value":3784,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3940,"base":12},"right_expr":{"type":"numeric_atoms","value":5214,"base":12}}}}},"used_operators":["8HhzD0ZcuI","12rbrZMWeM","Q3PJZHRvZv","QMFrweE19q","7j4O788W3g","Tw270M8GLb","DyGG3AbaNP","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","DZ8iAZOCBD","zVYPLywUTj"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3509","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=1141, 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=20610","layer":3},{"info":"compute unary expreesion, input=20610, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3160","layer":4},{"info":"compute unary expreesion, input=3160, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1792","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=1592, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1834","layer":4},{"info":"compute unary expreesion, input=1834, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3363556","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=3784, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7772","layer":3},{"info":"compute binary expreesion, left_input=3363556, right_input=7772, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6711563","layer":2},{"info":"number node, value=3940","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=3940, right_input=5214, 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=30911","layer":3},{"info":"compute unary expreesion, input=30911, 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=-6711563, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-6711563","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6711563, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊥(⫖↰⪸2045⫡⨏⫖↰⪸7B1))⋳⪒((⨰⫟⨤⫖↰⪸19B4)↺⫖↰⪸1054∼⫖↰⪸B08)⨽((⫓⪴⫖↰⪸108A)⊭↱(⫖↰⪸22BA⊉≛↸⫖↰⪸2234)∲⫓((⫖↰⪸2344⫡⨏⫖↰⪸3026)⊪))=NaN","reverse_text":"NaN=(⊥(⫖↰⪸2045⫡⨏⫖↰⪸7B1))⋳⪒((⨰⫟⨤⫖↰⪸19B4)↺⫖↰⪸1054∼⫖↰⪸B08)⨽((⫓⪴⫖↰⪸108A)⊭↱(⫖↰⪸22BA⊉≛↸⫖↰⪸2234)∲⫓((⫖↰⪸2344⫡⨏⫖↰⪸3026)⊪))","cot":[{"info":"⫖↰⪸2045⫡⨏⫖↰⪸7B1=⫖↰⪸BB16","layer":3},{"info":"⊥⫖↰⪸BB16=NaN","layer":2},{"info":"⨰⫟⨤⫖↰⪸19B4=NaN","layer":3},{"info":"⫖↰⪸1054∼⫖↰⪸B08=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫓⪴⫖↰⪸108A=⫖↰⪸1162604","layer":3},{"info":"⫖↰⪸22BA⊉≛↸⫖↰⪸2234=⫖↰⪸45B8","layer":3},{"info":"⫖↰⪸1162604⊭↱⫖↰⪸45B8=⫖↰⪸-22B800B","layer":2},{"info":"⫖↰⪸2344⫡⨏⫖↰⪸3026=⫖↰⪸15A7B","layer":3},{"info":"⫖↰⪸15A7B⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-22B800B∲⫓⫖↰⪸0=⫖↰⪸-22B800B","layer":1},{"info":"NaN⨽⫖↰⪸-22B800B=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"(⊥(($5422$⩤)⨸⪁$7552$↬$7321$))⇋≉","expression":"(⊥((⫖↰⪸317A⩤)⨸⪁⫖↰⪸4454↬⫖↰⪸42A1))⇋≉","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9,"operation_count":5,"complexity_ratio":1.8,"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":5422,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7552,"base":12},"right_expr":{"type":"numeric_atoms","value":7321,"base":12}}}}},"used_operators":["XIabStNQrY","Q3PJZHRvZv","g55IO6H4Gj","Z2TMIBDE3Q","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5422","layer":4},{"info":"compute unary expreesion, input=5422, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5422","layer":3},{"info":"number node, value=7552","layer":4},{"info":"number node, value=7321","layer":4},{"info":"compute binary expreesion, left_input=7552, right_input=7321, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-5422, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊥((⫖↰⪸317A⩤)⨸⪁⫖↰⪸4454↬⫖↰⪸42A1))⇋≉=NaN","reverse_text":"NaN=(⊥((⫖↰⪸317A⩤)⨸⪁⫖↰⪸4454↬⫖↰⪸42A1))⇋≉","cot":[{"info":"⫖↰⪸317A⩤=⫖↰⪸-317A","layer":3},{"info":"⫖↰⪸4454↬⫖↰⪸42A1=NaN","layer":3},{"info":"⫖↰⪸-317A⨸⪁NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"(($1720$⪢$3128$⫡⨏$5678$⪛$3001$)-(⇁⨣⪵$3576$)+⇶⊼(≦∁$6067$))⋥≓≎($6037$≦≮≮)⨟⋌⩍($4339$⊠≄⫣)+⇶⊼($6694$⋷$4756$⪨≂($3710$∸))","expression":"((⫖↰⪸BB4⪢⫖↰⪸1988⫡⨏⫖↰⪸3352⪛⫖↰⪸18A1)-(⇁⨣⪵⫖↰⪸20A0)+⇶⊼(≦∁⫖↰⪸3617))⋥≓≎(⫖↰⪸35B1≦≮≮)⨟⋌⩍(⫖↰⪸2617⊠≄⫣)+⇶⊼(⫖↰⪸3A5A⋷⫖↰⪸2904⪨≂(⫖↰⪸2192∸))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3338,"operation_count":15,"complexity_ratio":222.53333333333333,"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":1720,"base":12},"right_expr":{"type":"numeric_atoms","value":3128,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5678,"base":12},"right_expr":{"type":"numeric_atoms","value":3001,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3576,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6067,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6037,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4339,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6694,"base":12},"right_expr":{"type":"numeric_atoms","value":4756,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3710,"base":12}}}}},"used_operators":["Qy55tPpLXF","rysDP5nf3Z","QMFrweE19q","dWAJyo7jo9","uFcxV4UQCh","TpPTUOHfaN","inkyxCbjAn","9ICcGScMcE","rGHVDoGpnC","D4vGDi5EA2","DIvbN7qnHd","sdazOOVcIp","23Mk6UjR3U","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=3128, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=5678","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=5678, right_input=3001, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2677","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2677, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=3576","layer":4},{"info":"compute unary expreesion, input=3576, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=6067","layer":4},{"info":"compute unary expreesion, input=6067, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6067","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6067, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6037","layer":4},{"info":"compute unary expreesion, input=6037, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18111","layer":3},{"info":"number node, value=4339","layer":4},{"info":"compute unary expreesion, input=4339, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-18111, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=-18111","layer":2},{"info":"number node, value=6694","layer":4},{"info":"number node, value=4756","layer":4},{"info":"compute binary expreesion, left_input=6694, right_input=4756, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2818","layer":3},{"info":"number node, value=3710","layer":4},{"info":"compute unary expreesion, input=3710, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2818, right_input=177, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5384","layer":2},{"info":"compute binary expreesion, left_input=-18111, right_input=5384, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸BB4⪢⫖↰⪸1988⫡⨏⫖↰⪸3352⪛⫖↰⪸18A1)-(⇁⨣⪵⫖↰⪸20A0)+⇶⊼(≦∁⫖↰⪸3617))⋥≓≎(⫖↰⪸35B1≦≮≮)⨟⋌⩍(⫖↰⪸2617⊠≄⫣)+⇶⊼(⫖↰⪸3A5A⋷⫖↰⪸2904⪨≂(⫖↰⪸2192∸))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸BB4⪢⫖↰⪸1988⫡⨏⫖↰⪸3352⪛⫖↰⪸18A1)-(⇁⨣⪵⫖↰⪸20A0)+⇶⊼(≦∁⫖↰⪸3617))⋥≓≎(⫖↰⪸35B1≦≮≮)⨟⋌⩍(⫖↰⪸2617⊠≄⫣)+⇶⊼(⫖↰⪸3A5A⋷⫖↰⪸2904⪨≂(⫖↰⪸2192∸))","cot":[{"info":"⫖↰⪸BB4⪢⫖↰⪸1988=NaN","layer":3},{"info":"⫖↰⪸3352⪛⫖↰⪸18A1=⫖↰⪸1671","layer":3},{"info":"NaN⫡⨏⫖↰⪸1671=NaN","layer":2},{"info":"⇁⨣⪵⫖↰⪸20A0=NaN","layer":3},{"info":"≦∁⫖↰⪸3617=⫖↰⪸3617","layer":3},{"info":"NaN+⇶⊼⫖↰⪸3617=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⫖↰⪸35B1≦≮≮=⫖↰⪸-A593","layer":3},{"info":"⫖↰⪸2617⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-A593⨟⋌⩍⫖↰⪸0=⫖↰⪸-A593","layer":2},{"info":"⫖↰⪸3A5A⋷⫖↰⪸2904=⫖↰⪸176A","layer":3},{"info":"⫖↰⪸2192∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸176A⪨≂⫖↰⪸129=⫖↰⪸3148","layer":2},{"info":"⫖↰⪸-A593+⇶⊼⫖↰⪸3148=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":816,"expression_no_base_symbol":"((⋗⩬⋾$4750$)⋥≓≎$1410$⨐⩸⫘$9509$⊭↱($1058$⨰$3168$)⪮%⊝$1762$⪮%⊝$1314$)⋝⋈⪟(($3609$⫡⨏$8949$)∑⇟⊟$1860$⪮%⊝$1444$⋓($5069$⪮%⊝$1099$⨸⪁$1852$⊴$2951$))","expression":"((⋗⩬⋾⫖↰⪸28BA)⋥≓≎⫖↰⪸996⨐⩸⫘⫖↰⪸5605⊭↱(⫖↰⪸742⨰⫖↰⪸1A00)⪮%⊝⫖↰⪸102A⪮%⊝⫖↰⪸916)⋝⋈⪟((⫖↰⪸2109⫡⨏⫖↰⪸5219)∑⇟⊟⫖↰⪸10B0⪮%⊝⫖↰⪸A04⋓(⫖↰⪸2B25⪮%⊝⫖↰⪸777⨸⪁⫖↰⪸10A4⊴⫖↰⪸185B))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3038,"operation_count":15,"complexity_ratio":202.53333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4750,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":9509,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":3168,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1762,"base":12},"right_expr":{"type":"numeric_atoms","value":1314,"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":8949,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1860,"base":12},"right_expr":{"type":"numeric_atoms","value":1444,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5069,"base":12},"right_expr":{"type":"numeric_atoms","value":1099,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":2951,"base":12}}}}},"used_operators":["2DDjHMKMc0","COABgblf1C","Qy55tPpLXF","DpFCA1CohY","fu6greOZ01","IWmyXbctLI","eewbuw0ToL","T2fj7uvVaJ","U7g4x0WXJJ","QMFrweE19q","g55IO6H4Gj","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4750","layer":4},{"info":"compute unary expreesion, input=4750, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14250","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=9509","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=9509, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-14250, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=3168, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2100","layer":3},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1314, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3840","layer":3},{"info":"compute binary expreesion, left_input=-2100, right_input=3840, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3884","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-3884, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7897","layer":1},{"info":"number node, value=3609","layer":4},{"info":"number node, value=8949","layer":4},{"info":"compute binary expreesion, left_input=3609, right_input=8949, 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=36726","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=1444, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4036","layer":3},{"info":"compute binary expreesion, left_input=36726, right_input=4036, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5069","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=5069, right_input=1099, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10454","layer":3},{"info":"number node, value=1852","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=2951, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10454, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-7897, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋗⩬⋾⫖↰⪸28BA)⋥≓≎⫖↰⪸996⨐⩸⫘⫖↰⪸5605⊭↱(⫖↰⪸742⨰⫖↰⪸1A00)⪮%⊝⫖↰⪸102A⪮%⊝⫖↰⪸916)⋝⋈⪟((⫖↰⪸2109⫡⨏⫖↰⪸5219)∑⇟⊟⫖↰⪸10B0⪮%⊝⫖↰⪸A04⋓(⫖↰⪸2B25⪮%⊝⫖↰⪸777⨸⪁⫖↰⪸10A4⊴⫖↰⪸185B))=NaN","reverse_text":"NaN=((⋗⩬⋾⫖↰⪸28BA)⋥≓≎⫖↰⪸996⨐⩸⫘⫖↰⪸5605⊭↱(⫖↰⪸742⨰⫖↰⪸1A00)⪮%⊝⫖↰⪸102A⪮%⊝⫖↰⪸916)⋝⋈⪟((⫖↰⪸2109⫡⨏⫖↰⪸5219)∑⇟⊟⫖↰⪸10B0⪮%⊝⫖↰⪸A04⋓(⫖↰⪸2B25⪮%⊝⫖↰⪸777⨸⪁⫖↰⪸10A4⊴⫖↰⪸185B))","cot":[{"info":"⋗⩬⋾⫖↰⪸28BA=⫖↰⪸-82B6","layer":3},{"info":"⫖↰⪸996⨐⩸⫘⫖↰⪸5605=NaN","layer":3},{"info":"⫖↰⪸-82B6⋥≓≎NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸742⨰⫖↰⪸1A00=⫖↰⪸-1270","layer":3},{"info":"⫖↰⪸102A⪮%⊝⫖↰⪸916=⫖↰⪸2280","layer":3},{"info":"⫖↰⪸-1270⪮%⊝⫖↰⪸2280=⫖↰⪸-22B8","layer":2},{"info":"⫖↰⪸57⊭↱⫖↰⪸-22B8=⫖↰⪸-46A1","layer":1},{"info":"⫖↰⪸2109⫡⨏⫖↰⪸5219=⫖↰⪸19306","layer":3},{"info":"⫖↰⪸10B0⪮%⊝⫖↰⪸A04=⫖↰⪸2404","layer":3},{"info":"⫖↰⪸19306∑⇟⊟⫖↰⪸2404=NaN","layer":2},{"info":"⫖↰⪸2B25⪮%⊝⫖↰⪸777=⫖↰⪸6072","layer":3},{"info":"⫖↰⪸10A4⊴⫖↰⪸185B=NaN","layer":3},{"info":"⫖↰⪸6072⨸⪁NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫖↰⪸-46A1⋝⋈⪟NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(⋗⩬⋾($2395$+⇶⊼$6023$)⪮%⊝$1605$⪮%⊝$5826$)∧","expression":"(⋗⩬⋾(⫖↰⪸1477+⇶⊼⫖↰⪸359B)⪮%⊝⫖↰⪸B19⪮%⊝⫖↰⪸3456)∧","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":30,"operation_count":5,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2395,"base":12},"right_expr":{"type":"numeric_atoms","value":6023,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1605,"base":12},"right_expr":{"type":"numeric_atoms","value":5826,"base":12}}}}},"used_operators":["z63VuFQld9","DpFCA1CohY","IWmyXbctLI","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2395","layer":4},{"info":"number node, value=6023","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=6023, 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=1605","layer":4},{"info":"number node, value=5826","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=5826, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3526, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾(⫖↰⪸1477+⇶⊼⫖↰⪸359B)⪮%⊝⫖↰⪸B19⪮%⊝⫖↰⪸3456)∧=NaN","reverse_text":"NaN=(⋗⩬⋾(⫖↰⪸1477+⇶⊼⫖↰⪸359B)⪮%⊝⫖↰⪸B19⪮%⊝⫖↰⪸3456)∧","cot":[{"info":"⫖↰⪸1477+⇶⊼⫖↰⪸359B=NaN","layer":3},{"info":"⫖↰⪸B19⪮%⊝⫖↰⪸3456=⫖↰⪸205A","layer":3},{"info":"NaN⪮%⊝⫖↰⪸205A=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"($2450$⨰$1135$)⪢($3402$↬$8273$)⪄$1919$⋝⋈⪟$1868$⋝⋈⪟($1532$+⇶⊼$1054$)⋷($1512$⪄$1165$)∑⇟⊟($1174$∲⫓$1389$)⨳⩥⨓(≦∁$1556$∼$5370$)","expression":"(⫖↰⪸1502⨰⫖↰⪸7A7)⪢(⫖↰⪸1B76↬⫖↰⪸4955)⪄⫖↰⪸113B⋝⋈⪟⫖↰⪸10B8⋝⋈⪟(⫖↰⪸A78+⇶⊼⫖↰⪸73A)⋷(⫖↰⪸A60⪄⫖↰⪸811)∑⇟⊟(⫖↰⪸81A∲⫓⫖↰⪸979)⨳⩥⨓(≦∁⫖↰⪸A98∼⫖↰⪸3136)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":173,"operation_count":14,"complexity_ratio":12.357142857142858,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2450,"base":12},"right_expr":{"type":"numeric_atoms","value":1135,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3402,"base":12},"right_expr":{"type":"numeric_atoms","value":8273,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1919,"base":12},"right_expr":{"type":"numeric_atoms","value":1868,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1532,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}}}},"right_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":1165,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1174,"base":12},"right_expr":{"type":"numeric_atoms","value":1389,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1556,"base":12},"right_expr":{"type":"numeric_atoms","value":5370,"base":12}}}}},"used_operators":["23Mk6UjR3U","SUmda5xLS4","dWAJyo7jo9","eewbuw0ToL","B5M0gjZbta","2DDjHMKMc0","TpPTUOHfaN","nCS4ZIUYfx","U7g4x0WXJJ","i8ToyICDmI","9ICcGScMcE","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2450","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=1135, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1325","layer":3},{"info":"number node, value=3402","layer":4},{"info":"number node, value=8273","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=8273, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1325, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=1868, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1919","layer":3},{"info":"number node, value=1532","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=1054, 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=1919, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1512","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1165, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-224525","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1389, 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=-224525, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-224525","layer":2},{"info":"number node, value=1556","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=5370, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-224525, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1502⨰⫖↰⪸7A7)⪢(⫖↰⪸1B76↬⫖↰⪸4955)⪄⫖↰⪸113B⋝⋈⪟⫖↰⪸10B8⋝⋈⪟(⫖↰⪸A78+⇶⊼⫖↰⪸73A)⋷(⫖↰⪸A60⪄⫖↰⪸811)∑⇟⊟(⫖↰⪸81A∲⫓⫖↰⪸979)⨳⩥⨓(≦∁⫖↰⪸A98∼⫖↰⪸3136)=NaN","reverse_text":"NaN=(⫖↰⪸1502⨰⫖↰⪸7A7)⪢(⫖↰⪸1B76↬⫖↰⪸4955)⪄⫖↰⪸113B⋝⋈⪟⫖↰⪸10B8⋝⋈⪟(⫖↰⪸A78+⇶⊼⫖↰⪸73A)⋷(⫖↰⪸A60⪄⫖↰⪸811)∑⇟⊟(⫖↰⪸81A∲⫓⫖↰⪸979)⨳⩥⨓(≦∁⫖↰⪸A98∼⫖↰⪸3136)","cot":[{"info":"⫖↰⪸1502⨰⫖↰⪸7A7=⫖↰⪸925","layer":3},{"info":"⫖↰⪸1B76↬⫖↰⪸4955=NaN","layer":3},{"info":"⫖↰⪸925⪢NaN=NaN","layer":2},{"info":"⫖↰⪸113B⋝⋈⪟⫖↰⪸10B8=⫖↰⪸113B","layer":3},{"info":"⫖↰⪸A78+⇶⊼⫖↰⪸73A=NaN","layer":3},{"info":"⫖↰⪸113B⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸A60⪄⫖↰⪸811=⫖↰⪸-A9B25","layer":3},{"info":"⫖↰⪸81A∲⫓⫖↰⪸979=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-A9B25∑⇟⊟⫖↰⪸0=⫖↰⪸-A9B25","layer":2},{"info":"⫖↰⪸A98∼⫖↰⪸3136=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⫖↰⪸-A9B25⨳⩥⨓NaN=NaN","layer":1},{"info":"⫖↰⪸2377⋷NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"($1146$⪘⫢$1013$⩚⊴⇥(↔$1022$)/(($1555$≋⫹)+($1134$↛⩡⫤)))∲⫓($3749$⋥≓≎$3366$)⇷($4007$⊉≛↸$5701$)↙(-$4517$)≹⇙⪍($2100$⩚⊴⇥$2552$)","expression":"(⫖↰⪸7B6⪘⫢⫖↰⪸705⩚⊴⇥(↔⫖↰⪸712)/((⫖↰⪸A97≋⫹)+(⫖↰⪸7A6↛⩡⫤)))∲⫓(⫖↰⪸2205⋥≓≎⫖↰⪸1B46)⇷(⫖↰⪸239B⊉≛↸⫖↰⪸3371)↙(-⫖↰⪸2745)≹⇙⪍(⫖↰⪸1270⩚⊴⇥⫖↰⪸1588)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45813,"operation_count":15,"complexity_ratio":3054.2,"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":1146,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1022,"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":1134,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3749,"base":12},"right_expr":{"type":"numeric_atoms","value":3366,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4007,"base":12},"right_expr":{"type":"numeric_atoms","value":5701,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4517,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2100,"base":12},"right_expr":{"type":"numeric_atoms","value":2552,"base":12}}}}},"used_operators":["i8ToyICDmI","XhwjNDsVaA","NTOWxs364D","oacrs7FA3X","ruOEQAzv1W","W4YGzv6Whe","N41Kp7NANJ","FU0Cs4j7VP","yyfyN0ffXY","mp7IySMOzn","Qy55tPpLXF","DZ8iAZOCBD","AHs5Up7iyr","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1013, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2168","layer":3},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-749","layer":3},{"info":"compute binary expreesion, left_input=2168, right_input=-749, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1540","layer":2},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3110","layer":3},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-167323","layer":3},{"info":"compute binary expreesion, left_input=-3110, right_input=-167323, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-170433","layer":2},{"info":"compute binary expreesion, left_input=-1540, right_input=-170433, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3749","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=3366, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3016","layer":3},{"info":"number node, value=4007","layer":4},{"info":"number node, value=5701","layer":4},{"info":"compute binary expreesion, left_input=4007, right_input=5701, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8014","layer":3},{"info":"compute binary expreesion, left_input=3016, right_input=8014, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16028","layer":2},{"info":"number node, value=4517","layer":4},{"info":"compute unary expreesion, input=4517, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4517","layer":3},{"info":"number node, value=2100","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=2552, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4773","layer":3},{"info":"compute binary expreesion, left_input=-4517, right_input=-4773, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=16028, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":"(⫖↰⪸7B6⪘⫢⫖↰⪸705⩚⊴⇥(↔⫖↰⪸712)/((⫖↰⪸A97≋⫹)+(⫖↰⪸7A6↛⩡⫤)))∲⫓(⫖↰⪸2205⋥≓≎⫖↰⪸1B46)⇷(⫖↰⪸239B⊉≛↸⫖↰⪸3371)↙(-⫖↰⪸2745)≹⇙⪍(⫖↰⪸1270⩚⊴⇥⫖↰⪸1588)=NaN","reverse_text":"NaN=(⫖↰⪸7B6⪘⫢⫖↰⪸705⩚⊴⇥(↔⫖↰⪸712)/((⫖↰⪸A97≋⫹)+(⫖↰⪸7A6↛⩡⫤)))∲⫓(⫖↰⪸2205⋥≓≎⫖↰⪸1B46)⇷(⫖↰⪸239B⊉≛↸⫖↰⪸3371)↙(-⫖↰⪸2745)≹⇙⪍(⫖↰⪸1270⩚⊴⇥⫖↰⪸1588)","cot":[{"info":"⫖↰⪸7B6⪘⫢⫖↰⪸705=⫖↰⪸1308","layer":3},{"info":"↔⫖↰⪸712=⫖↰⪸-525","layer":3},{"info":"⫖↰⪸1308⩚⊴⇥⫖↰⪸-525=⫖↰⪸-A84","layer":2},{"info":"⫖↰⪸A97≋⫹=⫖↰⪸-1972","layer":3},{"info":"⫖↰⪸7A6↛⩡⫤=⫖↰⪸-809B7","layer":3},{"info":"⫖↰⪸-1972+⫖↰⪸-809B7=⫖↰⪸-82769","layer":2},{"info":"⫖↰⪸-A84/⫖↰⪸-82769=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2205⋥≓≎⫖↰⪸1B46=⫖↰⪸18B4","layer":3},{"info":"⫖↰⪸239B⊉≛↸⫖↰⪸3371=⫖↰⪸477A","layer":3},{"info":"⫖↰⪸18B4⇷⫖↰⪸477A=⫖↰⪸9338","layer":2},{"info":"-⫖↰⪸2745=⫖↰⪸-2745","layer":3},{"info":"⫖↰⪸1270⩚⊴⇥⫖↰⪸1588=⫖↰⪸-2919","layer":3},{"info":"⫖↰⪸-2745≹⇙⪍⫖↰⪸-2919=NaN","layer":2},{"info":"⫖↰⪸9338↙NaN=NaN","layer":1},{"info":"⫖↰⪸0∲⫓NaN=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"($4291$*$3099$)+⇶⊼$3132$⪛$1677$⨸⪁($4018$⫡⨏$1037$)⋥≓≎($2210$/$7954$)⊉≛↸($1691$⨐⩸⫘$5569$⪒(⊥$2927$))⨽$2725$+⇶⊼$4925$⩚⊴⇥($5461$≣⋋)","expression":"(⫖↰⪸2597*⫖↰⪸1963)+⇶⊼⫖↰⪸1990⪛⫖↰⪸B79⨸⪁(⫖↰⪸23AA⫡⨏⫖↰⪸725)⋥≓≎(⫖↰⪸1342/⫖↰⪸472A)⊉≛↸(⫖↰⪸B8B⨐⩸⫘⫖↰⪸3281⪒(⊥⫖↰⪸183B))⨽⫖↰⪸16B1+⇶⊼⫖↰⪸2A25⩚⊴⇥(⫖↰⪸31B1≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3654,"operation_count":15,"complexity_ratio":243.6,"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":4291,"base":12},"right_expr":{"type":"numeric_atoms","value":3099,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3132,"base":12},"right_expr":{"type":"numeric_atoms","value":1677,"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":1037,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2210,"base":12},"right_expr":{"type":"numeric_atoms","value":7954,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1691,"base":12},"right_expr":{"type":"numeric_atoms","value":5569,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2927,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2725,"base":12},"right_expr":{"type":"numeric_atoms","value":4925,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5461,"base":12}}}}},"used_operators":["DZ8iAZOCBD","g55IO6H4Gj","TpPTUOHfaN","9HNa5Wba9A","uFcxV4UQCh","Qy55tPpLXF","QMFrweE19q","XhwjNDsVaA","8HhzD0ZcuI","f6k1SAg4EE","fu6greOZ01","Q3PJZHRvZv","NTOWxs364D","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4291","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=3099, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13297809","layer":3},{"info":"number node, value=3132","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=1677, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1455","layer":3},{"info":"compute binary expreesion, left_input=13297809, right_input=1455, 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=4018","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=1037, 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=22947","layer":3},{"info":"number node, value=2210","layer":4},{"info":"number node, value=7954","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=7954, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=22947, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-22914","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22914, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1691","layer":4},{"info":"number node, value=5569","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=5569, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2927","layer":4},{"info":"compute unary expreesion, input=2927, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2725","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=4925, 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=5461","layer":4},{"info":"compute unary expreesion, input=5461, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":"(⫖↰⪸2597*⫖↰⪸1963)+⇶⊼⫖↰⪸1990⪛⫖↰⪸B79⨸⪁(⫖↰⪸23AA⫡⨏⫖↰⪸725)⋥≓≎(⫖↰⪸1342/⫖↰⪸472A)⊉≛↸(⫖↰⪸B8B⨐⩸⫘⫖↰⪸3281⪒(⊥⫖↰⪸183B))⨽⫖↰⪸16B1+⇶⊼⫖↰⪸2A25⩚⊴⇥(⫖↰⪸31B1≣⋋)=NaN","reverse_text":"NaN=(⫖↰⪸2597*⫖↰⪸1963)+⇶⊼⫖↰⪸1990⪛⫖↰⪸B79⨸⪁(⫖↰⪸23AA⫡⨏⫖↰⪸725)⋥≓≎(⫖↰⪸1342/⫖↰⪸472A)⊉≛↸(⫖↰⪸B8B⨐⩸⫘⫖↰⪸3281⪒(⊥⫖↰⪸183B))⨽⫖↰⪸16B1+⇶⊼⫖↰⪸2A25⩚⊴⇥(⫖↰⪸31B1≣⋋)","cot":[{"info":"⫖↰⪸2597*⫖↰⪸1963=⫖↰⪸45535A9","layer":3},{"info":"⫖↰⪸1990⪛⫖↰⪸B79=⫖↰⪸A13","layer":3},{"info":"⫖↰⪸45535A9+⇶⊼⫖↰⪸A13=NaN","layer":2},{"info":"⫖↰⪸23AA⫡⨏⫖↰⪸725=⫖↰⪸11343","layer":3},{"info":"⫖↰⪸1342/⫖↰⪸472A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸11343⋥≓≎⫖↰⪸0=⫖↰⪸-11316","layer":2},{"info":"NaN⨸⪁⫖↰⪸-11316=NaN","layer":1},{"info":"⫖↰⪸B8B⨐⩸⫘⫖↰⪸3281=NaN","layer":3},{"info":"⊥⫖↰⪸183B=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"⫖↰⪸16B1+⇶⊼⫖↰⪸2A25=NaN","layer":3},{"info":"⫖↰⪸31B1≣⋋=⫖↰⪸0","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸0=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"∂(($1443$⨓$3681$)⪮%⊝($3633$+⇶⊼$4374$)⫸⊐($1062$⨐⩸⫘$4364$)∀⇚≩($3075$⪒$1276$))","expression":"∂((⫖↰⪸A03⨓⫖↰⪸2169)⪮%⊝(⫖↰⪸2129+⇶⊼⫖↰⪸2646)⫸⊐(⫖↰⪸746⨐⩸⫘⫖↰⪸2638)∀⇚≩(⫖↰⪸1943⪒⫖↰⪸8A4))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3707,"operation_count":8,"complexity_ratio":463.375,"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":1443,"base":12},"right_expr":{"type":"numeric_atoms","value":3681,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3633,"base":12},"right_expr":{"type":"numeric_atoms","value":4374,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1062,"base":12},"right_expr":{"type":"numeric_atoms","value":4364,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3075,"base":12},"right_expr":{"type":"numeric_atoms","value":1276,"base":12}}}}},"used_operators":["Uaa54Peajs","mqXw5SEYmG","IWmyXbctLI","3ViojmjbAp","TpPTUOHfaN","LRNGc0VcxI","fu6greOZ01","f6k1SAg4EE"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","X99M06cbEe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=3681, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3684","layer":3},{"info":"number node, value=3633","layer":4},{"info":"number node, value=4374","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=4374, 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=-3684, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1062","layer":4},{"info":"number node, value=4364","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=4364, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3075","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=1276, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4351","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4351, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂((⫖↰⪸A03⨓⫖↰⪸2169)⪮%⊝(⫖↰⪸2129+⇶⊼⫖↰⪸2646)⫸⊐(⫖↰⪸746⨐⩸⫘⫖↰⪸2638)∀⇚≩(⫖↰⪸1943⪒⫖↰⪸8A4))=NaN","reverse_text":"NaN=∂((⫖↰⪸A03⨓⫖↰⪸2169)⪮%⊝(⫖↰⪸2129+⇶⊼⫖↰⪸2646)⫸⊐(⫖↰⪸746⨐⩸⫘⫖↰⪸2638)∀⇚≩(⫖↰⪸1943⪒⫖↰⪸8A4))","cot":[{"info":"⫖↰⪸A03⨓⫖↰⪸2169=⫖↰⪸-2170","layer":3},{"info":"⫖↰⪸2129+⇶⊼⫖↰⪸2646=NaN","layer":3},{"info":"⫖↰⪸-2170⪮%⊝NaN=NaN","layer":2},{"info":"⫖↰⪸746⨐⩸⫘⫖↰⪸2638=NaN","layer":3},{"info":"⫖↰⪸1943⪒⫖↰⪸8A4=⫖↰⪸-2627","layer":3},{"info":"NaN∀⇚≩⫖↰⪸-2627=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"↩($3044$⫡⨏$1978$)⪘⫢($3483$⩚⊴⇥$2577$)⫸⊐$2703$⪛$3314$⪄$3230$⋝⋈⪟$5334$","expression":"↩(⫖↰⪸1918⫡⨏⫖↰⪸118A)⪘⫢(⫖↰⪸2023⩚⊴⇥⫖↰⪸15A9)⫸⊐⫖↰⪸1693⪛⫖↰⪸1B02⪄⫖↰⪸1A52⋝⋈⪟⫖↰⪸3106","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":144,"operation_count":8,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3044,"base":12},"right_expr":{"type":"numeric_atoms","value":1978,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3483,"base":12},"right_expr":{"type":"numeric_atoms","value":2577,"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":3314,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3230,"base":12},"right_expr":{"type":"numeric_atoms","value":5334,"base":12}}}}},"used_operators":["jLgFTUHLKL","mqXw5SEYmG","oacrs7FA3X","QMFrweE19q","NTOWxs364D","SUmda5xLS4","uFcxV4UQCh","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2978","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3044","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=1978, 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=19959","layer":3},{"info":"number node, value=3483","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=2577, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6181","layer":3},{"info":"compute binary expreesion, left_input=19959, right_input=-6181, 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=2703","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=3314, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2703","layer":3},{"info":"number node, value=3230","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=5334, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3230","layer":3},{"info":"compute binary expreesion, left_input=2703, right_input=3230, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-409053","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-409053, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":12,"result_base":12,"text":"↩(⫖↰⪸1918⫡⨏⫖↰⪸118A)⪘⫢(⫖↰⪸2023⩚⊴⇥⫖↰⪸15A9)⫸⊐⫖↰⪸1693⪛⫖↰⪸1B02⪄⫖↰⪸1A52⋝⋈⪟⫖↰⪸3106=⫖↰⪸2978","reverse_text":"⫖↰⪸2978=↩(⫖↰⪸1918⫡⨏⫖↰⪸118A)⪘⫢(⫖↰⪸2023⩚⊴⇥⫖↰⪸15A9)⫸⊐⫖↰⪸1693⪛⫖↰⪸1B02⪄⫖↰⪸1A52⋝⋈⪟⫖↰⪸3106","cot":[{"info":"⫖↰⪸1918⫡⨏⫖↰⪸118A=⫖↰⪸B673","layer":3},{"info":"⫖↰⪸2023⩚⊴⇥⫖↰⪸15A9=⫖↰⪸-36B1","layer":3},{"info":"⫖↰⪸B673⪘⫢⫖↰⪸-36B1=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1693⪛⫖↰⪸1B02=⫖↰⪸1693","layer":3},{"info":"⫖↰⪸1A52⋝⋈⪟⫖↰⪸3106=⫖↰⪸1A52","layer":3},{"info":"⫖↰⪸1693⪄⫖↰⪸1A52=⫖↰⪸-178879","layer":2},{"info":"⫖↰⪸0⫸⊐⫖↰⪸-178879=⫖↰⪸0","layer":1},{"info":"↩⫖↰⪸0=⫖↰⪸2978","layer":0}]}
{"id":823,"expression_no_base_symbol":"(↽≂$3955$↬$1401$)≹⇙⪍($8002$⋷$3478$/$5471$⫥∨⫟$1282$)+⇶⊼(($1004$⪄$3138$)+⇶⊼$1846$∀⇚≩$1180$⪨≂($1615$⇷$4119$⋷(⊄⩳↩$6974$)))","expression":"(↽≂⫖↰⪸2357↬⫖↰⪸989)≹⇙⪍(⫖↰⪸476A⋷⫖↰⪸201A/⫖↰⪸31BB⫥∨⫟⫖↰⪸8AA)+⇶⊼((⫖↰⪸6B8⪄⫖↰⪸1996)+⇶⊼⫖↰⪸109A∀⇚≩⫖↰⪸824⪨≂(⫖↰⪸B27⇷⫖↰⪸2473⋷(⊄⩳↩⫖↰⪸4052)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35809,"operation_count":14,"complexity_ratio":2557.785714285714,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3955,"base":12},"right_expr":{"type":"numeric_atoms","value":1401,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8002,"base":12},"right_expr":{"type":"numeric_atoms","value":3478,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5471,"base":12},"right_expr":{"type":"numeric_atoms","value":1282,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":3138,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1846,"base":12},"right_expr":{"type":"numeric_atoms","value":1180,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1615,"base":12},"right_expr":{"type":"numeric_atoms","value":4119,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6974,"base":12}}}}},"used_operators":["TpPTUOHfaN","AHs5Up7iyr","u6S6b8DprG","B5M0gjZbta","XhwjNDsVaA","23Mk6UjR3U","KYD54nUTWz","sdazOOVcIp","SUmda5xLS4","LRNGc0VcxI","mp7IySMOzn","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3955","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=3955, right_input=1401, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"number node, value=8002","layer":4},{"info":"number node, value=3478","layer":4},{"info":"compute binary expreesion, left_input=8002, right_input=3478, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1046","layer":3},{"info":"number node, value=5471","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=5471, right_input=1282, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1046, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1004","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3138, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-157233","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=1180, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-157233, 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=1615","layer":4},{"info":"number node, value=4119","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=4119, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8238","layer":3},{"info":"number node, value=6974","layer":4},{"info":"compute unary expreesion, input=6974, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20922","layer":3},{"info":"compute binary expreesion, left_input=8238, right_input=-20922, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-50082","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-50082, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(↽≂⫖↰⪸2357↬⫖↰⪸989)≹⇙⪍(⫖↰⪸476A⋷⫖↰⪸201A/⫖↰⪸31BB⫥∨⫟⫖↰⪸8AA)+⇶⊼((⫖↰⪸6B8⪄⫖↰⪸1996)+⇶⊼⫖↰⪸109A∀⇚≩⫖↰⪸824⪨≂(⫖↰⪸B27⇷⫖↰⪸2473⋷(⊄⩳↩⫖↰⪸4052)))=NaN","reverse_text":"NaN=(↽≂⫖↰⪸2357↬⫖↰⪸989)≹⇙⪍(⫖↰⪸476A⋷⫖↰⪸201A/⫖↰⪸31BB⫥∨⫟⫖↰⪸8AA)+⇶⊼((⫖↰⪸6B8⪄⫖↰⪸1996)+⇶⊼⫖↰⪸109A∀⇚≩⫖↰⪸824⪨≂(⫖↰⪸B27⇷⫖↰⪸2473⋷(⊄⩳↩⫖↰⪸4052)))","cot":[{"info":"⫖↰⪸2357↬⫖↰⪸989=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫖↰⪸476A⋷⫖↰⪸201A=⫖↰⪸-732","layer":3},{"info":"⫖↰⪸31BB⫥∨⫟⫖↰⪸8AA=NaN","layer":3},{"info":"⫖↰⪸-732/NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫖↰⪸6B8⪄⫖↰⪸1996=⫖↰⪸-76BA9","layer":3},{"info":"⫖↰⪸109A∀⇚≩⫖↰⪸824=NaN","layer":3},{"info":"⫖↰⪸-76BA9+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸B27⇷⫖↰⪸2473=⫖↰⪸4926","layer":3},{"info":"⊄⩳↩⫖↰⪸4052=⫖↰⪸-10136","layer":3},{"info":"⫖↰⪸4926⋷⫖↰⪸-10136=⫖↰⪸-24B96","layer":2},{"info":"NaN⪨≂⫖↰⪸-24B96=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"(($1020$⨳⩥⨓$3037$)⨟⋌⩍($1241$⨳⩥⨓$3521$)⨵⪆(∂$1157$⪮%⊝$7515$))%($2368$⪢$1840$⪨≂(⨰⫟⨤$1057$)+($1445$⩨$8614$⪨≂(↽≂$4588$)))","expression":"((⫖↰⪸710⨳⩥⨓⫖↰⪸1911)⨟⋌⩍(⫖↰⪸875⨳⩥⨓⫖↰⪸2055)⨵⪆(∂⫖↰⪸805⪮%⊝⫖↰⪸4423))%(⫖↰⪸1454⪢⫖↰⪸1094⪨≂(⨰⫟⨤⫖↰⪸741)+(⫖↰⪸A05⩨⫖↰⪸4B9A⪨≂(↽≂⫖↰⪸27A4)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5316,"operation_count":14,"complexity_ratio":379.7142857142857,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1020,"base":12},"right_expr":{"type":"numeric_atoms","value":3037,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1241,"base":12},"right_expr":{"type":"numeric_atoms","value":3521,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1157,"base":12},"right_expr":{"type":"numeric_atoms","value":7515,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2368,"base":12},"right_expr":{"type":"numeric_atoms","value":1840,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1057,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1445,"base":12},"right_expr":{"type":"numeric_atoms","value":8614,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4588,"base":12}}}}},"used_operators":["k8jYdgA6NY","2DQ55sFlQl","rGHVDoGpnC","nCS4ZIUYfx","Uaa54Peajs","IWmyXbctLI","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","Tw270M8GLb","2DlMacCsIx","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3037, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2017","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=3521, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2280","layer":3},{"info":"compute binary expreesion, left_input=2017, right_input=2280, 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=1157","layer":4},{"info":"number node, value=7515","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=7515, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2630","layer":3},{"info":"compute unary expreesion, input=2630, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2368","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=1840, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1445","layer":4},{"info":"number node, value=8614","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=8614, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"number node, value=4588","layer":4},{"info":"compute unary expreesion, input=4588, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9176","layer":3},{"info":"compute binary expreesion, left_input=-15, right_input=-9176, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=18424","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18424, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸710⨳⩥⨓⫖↰⪸1911)⨟⋌⩍(⫖↰⪸875⨳⩥⨓⫖↰⪸2055)⨵⪆(∂⫖↰⪸805⪮%⊝⫖↰⪸4423))%(⫖↰⪸1454⪢⫖↰⪸1094⪨≂(⨰⫟⨤⫖↰⪸741)+(⫖↰⪸A05⩨⫖↰⪸4B9A⪨≂(↽≂⫖↰⪸27A4)))=NaN","reverse_text":"NaN=((⫖↰⪸710⨳⩥⨓⫖↰⪸1911)⨟⋌⩍(⫖↰⪸875⨳⩥⨓⫖↰⪸2055)⨵⪆(∂⫖↰⪸805⪮%⊝⫖↰⪸4423))%(⫖↰⪸1454⪢⫖↰⪸1094⪨≂(⨰⫟⨤⫖↰⪸741)+(⫖↰⪸A05⩨⫖↰⪸4B9A⪨≂(↽≂⫖↰⪸27A4)))","cot":[{"info":"⫖↰⪸710⨳⩥⨓⫖↰⪸1911=⫖↰⪸1201","layer":3},{"info":"⫖↰⪸875⨳⩥⨓⫖↰⪸2055=⫖↰⪸13A0","layer":3},{"info":"⫖↰⪸1201⨟⋌⩍⫖↰⪸13A0=NaN","layer":2},{"info":"⫖↰⪸805⪮%⊝⫖↰⪸4423=⫖↰⪸1632","layer":3},{"info":"∂⫖↰⪸1632=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1454⪢⫖↰⪸1094=NaN","layer":3},{"info":"⨰⫟⨤⫖↰⪸741=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸A05⩨⫖↰⪸4B9A=⫖↰⪸-13","layer":3},{"info":"↽≂⫖↰⪸27A4=⫖↰⪸-5388","layer":3},{"info":"⫖↰⪸-13⪨≂⫖↰⪸-5388=⫖↰⪸A7B4","layer":2},{"info":"NaN+⫖↰⪸A7B4=NaN","layer":1},{"info":"⫖↰⪸114%NaN=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"(($2808$⊉≛↸$1068$)⋫)⪛(($1208$⨽$1847$)⨽$1654$⋝⋈⪟$2030$)⨐⩸⫘(⫛⫱⨽(($5157$⪘⫢$1452$)⨟⋌⩍($1538$⨐⩸⫘$1846$)))","expression":"((⫖↰⪸1760⊉≛↸⫖↰⪸750)⋫)⪛((⫖↰⪸848⨽⫖↰⪸109B)⨽⫖↰⪸B5A⋝⋈⪟⫖↰⪸1212)⨐⩸⫘(⫛⫱⨽((⫖↰⪸2B99⪘⫢⫖↰⪸A10)⨟⋌⩍(⫖↰⪸A82⨐⩸⫘⫖↰⪸109A)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4389800,"operation_count":11,"complexity_ratio":399072.7272727273,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2808,"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":1208,"base":12},"right_expr":{"type":"numeric_atoms","value":1847,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1654,"base":12},"right_expr":{"type":"numeric_atoms","value":2030,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5157,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1538,"base":12},"right_expr":{"type":"numeric_atoms","value":1846,"base":12}}}}},"used_operators":["fu6greOZ01","uFcxV4UQCh","JL8yIekQnl","DZ8iAZOCBD","8HhzD0ZcuI","2DDjHMKMc0","DlLNRPXxWL","rGHVDoGpnC","oacrs7FA3X"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2808","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2808, right_input=1068, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5616","layer":3},{"info":"compute unary expreesion, input=5616, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5616","layer":2},{"info":"number node, value=1208","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1847, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4382019","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=2030, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1654","layer":3},{"info":"compute binary expreesion, left_input=-4382019, right_input=1654, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=5616, right_input=-inf, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-inf","layer":1},{"info":"number node, value=5157","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=5157, right_input=1452, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10190","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=1846","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=1846, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=10190, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, 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":"((⫖↰⪸1760⊉≛↸⫖↰⪸750)⋫)⪛((⫖↰⪸848⨽⫖↰⪸109B)⨽⫖↰⪸B5A⋝⋈⪟⫖↰⪸1212)⨐⩸⫘(⫛⫱⨽((⫖↰⪸2B99⪘⫢⫖↰⪸A10)⨟⋌⩍(⫖↰⪸A82⨐⩸⫘⫖↰⪸109A)))=NaN","reverse_text":"NaN=((⫖↰⪸1760⊉≛↸⫖↰⪸750)⋫)⪛((⫖↰⪸848⨽⫖↰⪸109B)⨽⫖↰⪸B5A⋝⋈⪟⫖↰⪸1212)⨐⩸⫘(⫛⫱⨽((⫖↰⪸2B99⪘⫢⫖↰⪸A10)⨟⋌⩍(⫖↰⪸A82⨐⩸⫘⫖↰⪸109A)))","cot":[{"info":"⫖↰⪸1760⊉≛↸⫖↰⪸750=⫖↰⪸3300","layer":3},{"info":"⫖↰⪸3300⋫=⫖↰⪸3300","layer":2},{"info":"⫖↰⪸848⨽⫖↰⪸109B=⫖↰⪸-1573A83","layer":3},{"info":"⫖↰⪸B5A⋝⋈⪟⫖↰⪸1212=⫖↰⪸B5A","layer":3},{"info":"⫖↰⪸-1573A83⨽⫖↰⪸B5A=-Inf","layer":2},{"info":"⫖↰⪸3300⪛-Inf=-Inf","layer":1},{"info":"⫖↰⪸2B99⪘⫢⫖↰⪸A10=⫖↰⪸5A92","layer":3},{"info":"⫖↰⪸A82⨐⩸⫘⫖↰⪸109A=NaN","layer":3},{"info":"⫖↰⪸5A92⨟⋌⩍NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"-Inf⨐⩸⫘NaN=NaN","layer":0}]}
{"id":826,"expression_no_base_symbol":"(⨰⫟⨤($3006$⨰$2735$))⋓((≤/$1026$)⪄($5019$⊭∹↮))+⇶⊼(($3061$⋳⪒$1818$)⇋≉)⪘⫢((⪲⇎$1739$)⩚⊴⇥$1467$⪘⫢$1890$)","expression":"(⨰⫟⨤(⫖↰⪸18A6⨰⫖↰⪸16BB))⋓((≤/⫖↰⪸716)⪄(⫖↰⪸2AA3⊭∹↮))+⇶⊼((⫖↰⪸1931⋳⪒⫖↰⪸1076)⇋≉)⪘⫢((⪲⇎⫖↰⪸100B)⩚⊴⇥⫖↰⪸A23⪘⫢⫖↰⪸1116)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1051,"operation_count":13,"complexity_ratio":80.84615384615384,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3006,"base":12},"right_expr":{"type":"numeric_atoms","value":2735,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1026,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5019,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3061,"base":12},"right_expr":{"type":"numeric_atoms","value":1818,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1739,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1467,"base":12},"right_expr":{"type":"numeric_atoms","value":1890,"base":12}}}}},"used_operators":["TpPTUOHfaN","T2fj7uvVaJ","Tw270M8GLb","eewbuw0ToL","SUmda5xLS4","eLAdDNolq6","xNBdhnnwKq","oacrs7FA3X","XIabStNQrY","12rbrZMWeM","NTOWxs364D","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3006","layer":4},{"info":"number node, value=2735","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=2735, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=281","layer":3},{"info":"compute unary expreesion, input=281, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-542","layer":3},{"info":"number node, value=5019","layer":4},{"info":"compute unary expreesion, input=5019, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10038","layer":3},{"info":"compute binary expreesion, left_input=-542, right_input=10038, 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 = 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=3061","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=3061, right_input=1818, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4017","layer":3},{"info":"compute unary expreesion, input=4017, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7936","layer":2},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3478","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1890, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2810","layer":3},{"info":"compute binary expreesion, left_input=3478, right_input=2810, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6409","layer":2},{"info":"compute binary expreesion, left_input=7936, right_input=-6409, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 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":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤(⫖↰⪸18A6⨰⫖↰⪸16BB))⋓((≤/⫖↰⪸716)⪄(⫖↰⪸2AA3⊭∹↮))+⇶⊼((⫖↰⪸1931⋳⪒⫖↰⪸1076)⇋≉)⪘⫢((⪲⇎⫖↰⪸100B)⩚⊴⇥⫖↰⪸A23⪘⫢⫖↰⪸1116)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨰⫟⨤(⫖↰⪸18A6⨰⫖↰⪸16BB))⋓((≤/⫖↰⪸716)⪄(⫖↰⪸2AA3⊭∹↮))+⇶⊼((⫖↰⪸1931⋳⪒⫖↰⪸1076)⇋≉)⪘⫢((⪲⇎⫖↰⪸100B)⩚⊴⇥⫖↰⪸A23⪘⫢⫖↰⪸1116)","cot":[{"info":"⫖↰⪸18A6⨰⫖↰⪸16BB=⫖↰⪸1B5","layer":3},{"info":"⨰⫟⨤⫖↰⪸1B5=NaN","layer":2},{"info":"≤/⫖↰⪸716=⫖↰⪸-392","layer":3},{"info":"⫖↰⪸2AA3⊭∹↮=⫖↰⪸5986","layer":3},{"info":"⫖↰⪸-392⪄⫖↰⪸5986=⫖↰⪸2377","layer":2},{"info":"NaN⋓⫖↰⪸2377=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1931⋳⪒⫖↰⪸1076=⫖↰⪸23A9","layer":3},{"info":"⫖↰⪸23A9⇋≉=⫖↰⪸4714","layer":2},{"info":"⪲⇎⫖↰⪸100B=⫖↰⪸201A","layer":3},{"info":"⫖↰⪸A23⪘⫢⫖↰⪸1116=⫖↰⪸1762","layer":3},{"info":"⫖↰⪸201A⩚⊴⇥⫖↰⪸1762=⫖↰⪸-3861","layer":2},{"info":"⫖↰⪸4714⪘⫢⫖↰⪸-3861=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":827,"expression_no_base_symbol":"⋗⩬⋾(($2692$⪒$1115$)⪢(↩$5662$))≹⇙⪍($1407$⨓$1108$⪨≂($4830$⨵⪆$1367$))","expression":"⋗⩬⋾((⫖↰⪸1684⪒⫖↰⪸78B)⪢(↩⫖↰⪸333A))≹⇙⪍(⫖↰⪸993⨓⫖↰⪸784⪨≂(⫖↰⪸2966⨵⪆⫖↰⪸95B))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43659,"operation_count":8,"complexity_ratio":5457.375,"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":2692,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"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":"numeric_atoms","value":1407,"base":12},"right_expr":{"type":"numeric_atoms","value":1108,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4830,"base":12},"right_expr":{"type":"numeric_atoms","value":1367,"base":12}}}}},"used_operators":["DpFCA1CohY","AHs5Up7iyr","dWAJyo7jo9","f6k1SAg4EE","jLgFTUHLKL","sdazOOVcIp","3ViojmjbAp","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2692","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=1115, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3807","layer":3},{"info":"number node, value=5662","layer":4},{"info":"compute unary expreesion, input=5662, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42516","layer":3},{"info":"compute binary expreesion, left_input=-3807, right_input=-42516, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1407","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1108, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1111","layer":3},{"info":"number node, value=4830","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=4830, right_input=1367, 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=-1111, right_input=160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2440","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2440, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾((⫖↰⪸1684⪒⫖↰⪸78B)⪢(↩⫖↰⪸333A))≹⇙⪍(⫖↰⪸993⨓⫖↰⪸784⪨≂(⫖↰⪸2966⨵⪆⫖↰⪸95B))=NaN","reverse_text":"NaN=⋗⩬⋾((⫖↰⪸1684⪒⫖↰⪸78B)⪢(↩⫖↰⪸333A))≹⇙⪍(⫖↰⪸993⨓⫖↰⪸784⪨≂(⫖↰⪸2966⨵⪆⫖↰⪸95B))","cot":[{"info":"⫖↰⪸1684⪒⫖↰⪸78B=⫖↰⪸-2253","layer":3},{"info":"↩⫖↰⪸333A=⫖↰⪸-20730","layer":3},{"info":"⫖↰⪸-2253⪢⫖↰⪸-20730=NaN","layer":2},{"info":"⫖↰⪸993⨓⫖↰⪸784=⫖↰⪸-787","layer":3},{"info":"⫖↰⪸2966⨵⪆⫖↰⪸95B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-787⪨≂⫖↰⪸114=⫖↰⪸-14B4","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸-14B4=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"(($1717$⪨≂$2336$)⊦⊿)↙(↯⪼($2413$⪐))⨸⪁((⨑⩽⪐($1690$⪨≂$5476$))↛⩡⫤)","expression":"((⫖↰⪸BB1⪨≂⫖↰⪸1428)⊦⊿)↙(↯⪼(⫖↰⪸1491⪐))⨸⪁((⨑⩽⪐(⫖↰⪸B8A⪨≂⫖↰⪸3204))↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47404,"operation_count":9,"complexity_ratio":5267.111111111111,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1717,"base":12},"right_expr":{"type":"numeric_atoms","value":2336,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2413,"base":12}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1690,"base":12},"right_expr":{"type":"numeric_atoms","value":5476,"base":12}}}}},"used_operators":["g55IO6H4Gj","yyfyN0ffXY","14qkJME0vr","sdazOOVcIp","8jW3W4yZS5","eH2TOUuTDT","FU0Cs4j7VP","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-1708592","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1717","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=2336, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1136","layer":3},{"info":"compute unary expreesion, input=-1136, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=3329","layer":2},{"info":"number node, value=2413","layer":4},{"info":"compute unary expreesion, input=2413, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4826","layer":3},{"info":"compute unary expreesion, input=4826, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=3329, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-63","layer":1},{"info":"number node, value=1690","layer":4},{"info":"number node, value=5476","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=5476, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7470","layer":3},{"info":"compute unary expreesion, input=-7470, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=15729","layer":2},{"info":"compute unary expreesion, input=15729, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2371168","layer":1},{"info":"compute binary expreesion, left_input=-63, right_input=-2371168, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4742462","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸BB1⪨≂⫖↰⪸1428)⊦⊿)↙(↯⪼(⫖↰⪸1491⪐))⨸⪁((⨑⩽⪐(⫖↰⪸B8A⪨≂⫖↰⪸3204))↛⩡⫤)=⫖↰⪸-1708592","reverse_text":"⫖↰⪸-1708592=((⫖↰⪸BB1⪨≂⫖↰⪸1428)⊦⊿)↙(↯⪼(⫖↰⪸1491⪐))⨸⪁((⨑⩽⪐(⫖↰⪸B8A⪨≂⫖↰⪸3204))↛⩡⫤)","cot":[{"info":"⫖↰⪸BB1⪨≂⫖↰⪸1428=⫖↰⪸-7A8","layer":3},{"info":"⫖↰⪸-7A8⊦⊿=⫖↰⪸1B15","layer":2},{"info":"⫖↰⪸1491⪐=⫖↰⪸2962","layer":3},{"info":"↯⪼⫖↰⪸2962=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸1B15↙⫖↰⪸-19=⫖↰⪸-53","layer":1},{"info":"⫖↰⪸B8A⪨≂⫖↰⪸3204=⫖↰⪸-43A6","layer":3},{"info":"⨑⩽⪐⫖↰⪸-43A6=⫖↰⪸9129","layer":2},{"info":"⫖↰⪸9129↛⩡⫤=⫖↰⪸-964254","layer":1},{"info":"⫖↰⪸-53⨸⪁⫖↰⪸-964254=⫖↰⪸-1708592","layer":0}]}
{"id":829,"expression_no_base_symbol":"(($2919$⫸⊐$3236$⫡⨏(+⊝⨔$2445$))⪠⩆⊳)∑⇟⊟(≦∁$1306$)≹⇙⪍($2747$⪐)⪢(($3044$⩤)↺($8744$+$2451$))","expression":"((⫖↰⪸1833⫸⊐⫖↰⪸1A58⫡⨏(+⊝⨔⫖↰⪸14B9))⪠⩆⊳)∑⇟⊟(≦∁⫖↰⪸90A)≹⇙⪍(⫖↰⪸170B⪐)⪢((⫖↰⪸1918⩤)↺(⫖↰⪸5088+⫖↰⪸1503))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11281,"operation_count":12,"complexity_ratio":940.0833333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2919,"base":12},"right_expr":{"type":"numeric_atoms","value":3236,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2445,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1306,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2747,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3044,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":8744,"base":12},"right_expr":{"type":"numeric_atoms","value":2451,"base":12}}}}},"used_operators":["U7g4x0WXJJ","JLbD19bQDL","QMFrweE19q","mqXw5SEYmG","DhbWaqg5eL","dWAJyo7jo9","AHs5Up7iyr","9ICcGScMcE","eH2TOUuTDT","7j4O788W3g","Z2TMIBDE3Q","W4YGzv6Whe"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2919","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=2919, right_input=3236, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12819","layer":3},{"info":"number node, value=2445","layer":4},{"info":"compute unary expreesion, input=2445, 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=12819, right_input=1522, 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=67922","layer":2},{"info":"compute unary expreesion, input=67922, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1306","layer":3},{"info":"number node, value=2747","layer":4},{"info":"compute unary expreesion, input=2747, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5494","layer":3},{"info":"compute binary expreesion, left_input=1306, right_input=5494, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3044","layer":4},{"info":"compute unary expreesion, input=3044, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3044","layer":3},{"info":"number node, value=8744","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=8744, right_input=2451, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11195","layer":3},{"info":"compute binary expreesion, left_input=-3044, right_input=11195, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11195","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11195, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1833⫸⊐⫖↰⪸1A58⫡⨏(+⊝⨔⫖↰⪸14B9))⪠⩆⊳)∑⇟⊟(≦∁⫖↰⪸90A)≹⇙⪍(⫖↰⪸170B⪐)⪢((⫖↰⪸1918⩤)↺(⫖↰⪸5088+⫖↰⪸1503))=NaN","reverse_text":"NaN=((⫖↰⪸1833⫸⊐⫖↰⪸1A58⫡⨏(+⊝⨔⫖↰⪸14B9))⪠⩆⊳)∑⇟⊟(≦∁⫖↰⪸90A)≹⇙⪍(⫖↰⪸170B⪐)⪢((⫖↰⪸1918⩤)↺(⫖↰⪸5088+⫖↰⪸1503))","cot":[{"info":"⫖↰⪸1833⫸⊐⫖↰⪸1A58=⫖↰⪸7503","layer":3},{"info":"+⊝⨔⫖↰⪸14B9=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸7503⫡⨏⫖↰⪸A6A=⫖↰⪸33382","layer":2},{"info":"⫖↰⪸33382⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"≦∁⫖↰⪸90A=⫖↰⪸90A","layer":3},{"info":"⫖↰⪸170B⪐=⫖↰⪸321A","layer":3},{"info":"⫖↰⪸90A≹⇙⪍⫖↰⪸321A=NaN","layer":2},{"info":"⫖↰⪸1918⩤=⫖↰⪸-1918","layer":3},{"info":"⫖↰⪸5088+⫖↰⪸1503=⫖↰⪸658B","layer":3},{"info":"⫖↰⪸-1918↺⫖↰⪸658B=⫖↰⪸658B","layer":2},{"info":"NaN⪢⫖↰⪸658B=NaN","layer":1},{"info":"⫖↰⪸0∑⇟⊟NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"↽≂((↩$5875$)⪒($3171$/$5913$)⋷(⫓⪴$1375$)⨎($1365$+$1265$))","expression":"↽≂((↩⫖↰⪸3497)⪒(⫖↰⪸1A03/⫖↰⪸3509)⋷(⫓⪴⫖↰⪸967)⨎(⫖↰⪸959+⫖↰⪸895))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1403,"operation_count":8,"complexity_ratio":175.375,"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":5875,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3171,"base":12},"right_expr":{"type":"numeric_atoms","value":5913,"base":12}}},"right_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":1365,"base":12},"right_expr":{"type":"numeric_atoms","value":1265,"base":12}}}}},"used_operators":["u6S6b8DprG","23Mk6UjR3U","f6k1SAg4EE","jLgFTUHLKL","XhwjNDsVaA","rJVOvQCfKK","eLxqMNBOBk","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A"],"result":"⫖↰⪸39114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5875","layer":4},{"info":"compute unary expreesion, input=5875, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-44220","layer":3},{"info":"number node, value=3171","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=5913, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-44220, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=44220","layer":2},{"info":"number node, value=1375","layer":4},{"info":"compute unary expreesion, input=1375, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1890625","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1265, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2630","layer":3},{"info":"compute binary expreesion, left_input=1890625, right_input=2630, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2630","layer":2},{"info":"compute binary expreesion, left_input=44220, right_input=2630, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-38960","layer":1},{"info":"compute unary expreesion, input=-38960, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=77920","layer":0}],"base":12,"result_base":12,"text":"↽≂((↩⫖↰⪸3497)⪒(⫖↰⪸1A03/⫖↰⪸3509)⋷(⫓⪴⫖↰⪸967)⨎(⫖↰⪸959+⫖↰⪸895))=⫖↰⪸39114","reverse_text":"⫖↰⪸39114=↽≂((↩⫖↰⪸3497)⪒(⫖↰⪸1A03/⫖↰⪸3509)⋷(⫓⪴⫖↰⪸967)⨎(⫖↰⪸959+⫖↰⪸895))","cot":[{"info":"↩⫖↰⪸3497=⫖↰⪸-21710","layer":3},{"info":"⫖↰⪸1A03/⫖↰⪸3509=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-21710⪒⫖↰⪸0=⫖↰⪸21710","layer":2},{"info":"⫓⪴⫖↰⪸967=⫖↰⪸772141","layer":3},{"info":"⫖↰⪸959+⫖↰⪸895=⫖↰⪸1632","layer":3},{"info":"⫖↰⪸772141⨎⫖↰⪸1632=⫖↰⪸1632","layer":2},{"info":"⫖↰⪸21710⋷⫖↰⪸1632=⫖↰⪸-1A668","layer":1},{"info":"↽≂⫖↰⪸-1A668=⫖↰⪸39114","layer":0}]}
{"id":831,"expression_no_base_symbol":"((∂($3269$⪐))⊭∹↮)+((⪝⪂⫅($5843$⋥≓≎$2044$))⫌⩹⨱)","expression":"((∂(⫖↰⪸1A85⪐))⊭∹↮)+((⪝⪂⫅(⫖↰⪸346B⋥≓≎⫖↰⪸1224))⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":171,"operation_count":7,"complexity_ratio":24.428571428571427,"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":3269,"base":12}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5843,"base":12},"right_expr":{"type":"numeric_atoms","value":2044,"base":12}}}}},"used_operators":["W4YGzv6Whe","xNBdhnnwKq","Uaa54Peajs","eH2TOUuTDT","EBcxylXtPf","XTarYq4gQB","Qy55tPpLXF"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3269","layer":4},{"info":"compute unary expreesion, input=3269, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6538","layer":3},{"info":"compute unary expreesion, input=6538, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=5843","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=5843, right_input=2044, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1722","layer":3},{"info":"compute unary expreesion, input=-1722, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=253134","layer":2},{"info":"compute unary expreesion, input=253134, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=507669","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=507669, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∂(⫖↰⪸1A85⪐))⊭∹↮)+((⪝⪂⫅(⫖↰⪸346B⋥≓≎⫖↰⪸1224))⫌⩹⨱)=NaN","reverse_text":"NaN=((∂(⫖↰⪸1A85⪐))⊭∹↮)+((⪝⪂⫅(⫖↰⪸346B⋥≓≎⫖↰⪸1224))⫌⩹⨱)","cot":[{"info":"⫖↰⪸1A85⪐=⫖↰⪸394A","layer":3},{"info":"∂⫖↰⪸394A=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⫖↰⪸346B⋥≓≎⫖↰⪸1224=⫖↰⪸-BB6","layer":3},{"info":"⪝⪂⫅⫖↰⪸-BB6=⫖↰⪸1025A6","layer":2},{"info":"⫖↰⪸1025A6⫌⩹⨱=⫖↰⪸205959","layer":1},{"info":"NaN+⫖↰⪸205959=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"((($3770$*$1686$)⋫)⫸⊐($5334$⋷$3485$)⨟⋌⩍($2763$⪠⩆⊳))⨓(($3908$⋥≓≎$1369$)⪢$8351$≹⇙⪍$1695$⩷∴($1011$⨁⊸⫻)⨪↰⇹(≤/$2076$))","expression":"(((⫖↰⪸2222*⫖↰⪸B86)⋫)⫸⊐(⫖↰⪸3106⋷⫖↰⪸2025)⨟⋌⩍(⫖↰⪸1723⪠⩆⊳))⨓((⫖↰⪸2318⋥≓≎⫖↰⪸961)⪢⫖↰⪸49BB≹⇙⪍⫖↰⪸B93⩷∴(⫖↰⪸703⨁⊸⫻)⨪↰⇹(≤/⫖↰⪸1250))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2733,"operation_count":14,"complexity_ratio":195.21428571428572,"tree":{"type":"binary","operator":"⨓","left_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":1686,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5334,"base":12},"right_expr":{"type":"numeric_atoms","value":3485,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2763,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3908,"base":12},"right_expr":{"type":"numeric_atoms","value":1369,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8351,"base":12},"right_expr":{"type":"numeric_atoms","value":1695,"base":12}}},"right_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":2076,"base":12}}}}},"used_operators":["3ViojmjbAp","mqXw5SEYmG","JL8yIekQnl","9HNa5Wba9A","rGHVDoGpnC","23Mk6UjR3U","JLbD19bQDL","9FxExcQeMw","dWAJyo7jo9","Qy55tPpLXF","AHs5Up7iyr","tmPS8pqC7x","glklzrTFfD","eLAdDNolq6"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3770","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=1686, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6356220","layer":3},{"info":"compute unary expreesion, input=6356220, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"number node, value=5334","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=5334, right_input=3485, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1636","layer":3},{"info":"number node, value=2763","layer":4},{"info":"compute unary expreesion, input=2763, 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=1636, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=1636","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1636, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=3908","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=3908, right_input=1369, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1137","layer":3},{"info":"number node, value=8351","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=8351, right_input=1695, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1137, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1011","layer":3},{"info":"number node, value=2076","layer":4},{"info":"compute unary expreesion, input=2076, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1592","layer":3},{"info":"compute binary expreesion, left_input=1011, right_input=-1592, 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=1011","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1011, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2222*⫖↰⪸B86)⋫)⫸⊐(⫖↰⪸3106⋷⫖↰⪸2025)⨟⋌⩍(⫖↰⪸1723⪠⩆⊳))⨓((⫖↰⪸2318⋥≓≎⫖↰⪸961)⪢⫖↰⪸49BB≹⇙⪍⫖↰⪸B93⩷∴(⫖↰⪸703⨁⊸⫻)⨪↰⇹(≤/⫖↰⪸1250))=NaN","reverse_text":"NaN=(((⫖↰⪸2222*⫖↰⪸B86)⋫)⫸⊐(⫖↰⪸3106⋷⫖↰⪸2025)⨟⋌⩍(⫖↰⪸1723⪠⩆⊳))⨓((⫖↰⪸2318⋥≓≎⫖↰⪸961)⪢⫖↰⪸49BB≹⇙⪍⫖↰⪸B93⩷∴(⫖↰⪸703⨁⊸⫻)⨪↰⇹(≤/⫖↰⪸1250))","cot":[{"info":"⫖↰⪸2222*⫖↰⪸B86=⫖↰⪸2166450","layer":3},{"info":"⫖↰⪸2166450⋫=NaN","layer":2},{"info":"⫖↰⪸3106⋷⫖↰⪸2025=⫖↰⪸B44","layer":3},{"info":"⫖↰⪸1723⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B44⨟⋌⩍⫖↰⪸0=⫖↰⪸B44","layer":2},{"info":"NaN⫸⊐⫖↰⪸B44=NaN","layer":1},{"info":"⫖↰⪸2318⋥≓≎⫖↰⪸961=⫖↰⪸-7A9","layer":3},{"info":"⫖↰⪸49BB≹⇙⪍⫖↰⪸B93=NaN","layer":3},{"info":"⫖↰⪸-7A9⪢NaN=NaN","layer":2},{"info":"⫖↰⪸703⨁⊸⫻=⫖↰⪸703","layer":3},{"info":"≤/⫖↰⪸1250=⫖↰⪸-B08","layer":3},{"info":"⫖↰⪸703⨪↰⇹⫖↰⪸-B08=⫖↰⪸703","layer":2},{"info":"NaN⩷∴⫖↰⪸703=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"((⨈⫕(↥$4078$))⨸⪁($1078$↙$1806$/$9046$⋳⪒$2779$))⩷∴($1167$⋝⋈⪟$1272$⫸⊐(⋗⩬⋾$6827$))⨟⋌⩍((⫓⪴$5587$)+$1183$⇷$3026$)","expression":"((⨈⫕(↥⫖↰⪸243A))⨸⪁(⫖↰⪸75A↙⫖↰⪸1066/⫖↰⪸529A⋳⪒⫖↰⪸1737))⩷∴(⫖↰⪸813⋝⋈⪟⫖↰⪸8A0⫸⊐(⋗⩬⋾⫖↰⪸3B4B))⨟⋌⩍((⫓⪴⫖↰⪸3297)+⫖↰⪸827⇷⫖↰⪸1902)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24476,"operation_count":14,"complexity_ratio":1748.2857142857142,"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":4078,"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":1806,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":9046,"base":12},"right_expr":{"type":"numeric_atoms","value":2779,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1167,"base":12},"right_expr":{"type":"numeric_atoms","value":1272,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6827,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5587,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1183,"base":12},"right_expr":{"type":"numeric_atoms","value":3026,"base":12}}}}},"used_operators":["9FxExcQeMw","g55IO6H4Gj","megm06wKyl","A8NUZmVepG","XhwjNDsVaA","yyfyN0ffXY","12rbrZMWeM","rGHVDoGpnC","mqXw5SEYmG","2DDjHMKMc0","DpFCA1CohY","W4YGzv6Whe","eLxqMNBOBk","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4078","layer":4},{"info":"compute unary expreesion, input=4078, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"compute unary expreesion, input=49, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1806, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5418","layer":3},{"info":"number node, value=9046","layer":4},{"info":"number node, value=2779","layer":4},{"info":"compute binary expreesion, left_input=9046, right_input=2779, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15026","layer":3},{"info":"compute binary expreesion, left_input=-5418, right_input=15026, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-1, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-44","layer":1},{"info":"number node, value=1167","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1272, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1167","layer":3},{"info":"number node, value=6827","layer":4},{"info":"compute unary expreesion, input=6827, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-20481","layer":3},{"info":"compute binary expreesion, left_input=1167, right_input=-20481, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-41091","layer":2},{"info":"number node, value=5587","layer":4},{"info":"compute unary expreesion, input=5587, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=31214569","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=3026, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6052","layer":3},{"info":"compute binary expreesion, left_input=31214569, right_input=6052, op_id = W4YGzv6Whe binary_op_definition= 'None', output=31220621","layer":2},{"info":"compute binary expreesion, left_input=-41091, right_input=31220621, 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=-44, 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":"((⨈⫕(↥⫖↰⪸243A))⨸⪁(⫖↰⪸75A↙⫖↰⪸1066/⫖↰⪸529A⋳⪒⫖↰⪸1737))⩷∴(⫖↰⪸813⋝⋈⪟⫖↰⪸8A0⫸⊐(⋗⩬⋾⫖↰⪸3B4B))⨟⋌⩍((⫓⪴⫖↰⪸3297)+⫖↰⪸827⇷⫖↰⪸1902)=NaN","reverse_text":"NaN=((⨈⫕(↥⫖↰⪸243A))⨸⪁(⫖↰⪸75A↙⫖↰⪸1066/⫖↰⪸529A⋳⪒⫖↰⪸1737))⩷∴(⫖↰⪸813⋝⋈⪟⫖↰⪸8A0⫸⊐(⋗⩬⋾⫖↰⪸3B4B))⨟⋌⩍((⫓⪴⫖↰⪸3297)+⫖↰⪸827⇷⫖↰⪸1902)","cot":[{"info":"↥⫖↰⪸243A=⫖↰⪸41","layer":3},{"info":"⨈⫕⫖↰⪸41=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸75A↙⫖↰⪸1066=⫖↰⪸-3176","layer":3},{"info":"⫖↰⪸529A⋳⪒⫖↰⪸1737=⫖↰⪸8842","layer":3},{"info":"⫖↰⪸-3176/⫖↰⪸8842=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-19⨸⪁⫖↰⪸-1=⫖↰⪸-38","layer":1},{"info":"⫖↰⪸813⋝⋈⪟⫖↰⪸8A0=⫖↰⪸813","layer":3},{"info":"⋗⩬⋾⫖↰⪸3B4B=⫖↰⪸-BA29","layer":3},{"info":"⫖↰⪸813⫸⊐⫖↰⪸-BA29=⫖↰⪸-1B943","layer":2},{"info":"⫓⪴⫖↰⪸3297=⫖↰⪸A553BA1","layer":3},{"info":"⫖↰⪸827⇷⫖↰⪸1902=⫖↰⪸3604","layer":3},{"info":"⫖↰⪸A553BA1+⫖↰⪸3604=⫖↰⪸A5575A5","layer":2},{"info":"⫖↰⪸-1B943⨟⋌⩍⫖↰⪸A5575A5=NaN","layer":1},{"info":"⫖↰⪸-38⩷∴NaN=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"(($1958$⪨≂$1008$)⩤)⨎(↣≠⋷($1896$⨐⩸⫘$3333$))⋳⪒(∂($1695$∸)↬($1709$⪨≂$6089$))","expression":"((⫖↰⪸1172⪨≂⫖↰⪸700)⩤)⨎(↣≠⋷(⫖↰⪸1120⨐⩸⫘⫖↰⪸1B19))⋳⪒(∂(⫖↰⪸B93∸)↬(⫖↰⪸BA5⪨≂⫖↰⪸3635))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":202,"operation_count":10,"complexity_ratio":20.2,"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":1958,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1896,"base":12},"right_expr":{"type":"numeric_atoms","value":3333,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_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":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":6089,"base":12}}}}},"used_operators":["12rbrZMWeM","rJVOvQCfKK","Z2TMIBDE3Q","sdazOOVcIp","Asc51vEJeQ","fu6greOZ01","Uaa54Peajs","B5M0gjZbta","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1008, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2002","layer":3},{"info":"compute unary expreesion, input=2002, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2002","layer":2},{"info":"number node, value=1896","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=3333, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2002, 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=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=6089, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8658","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-8658, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1172⪨≂⫖↰⪸700)⩤)⨎(↣≠⋷(⫖↰⪸1120⨐⩸⫘⫖↰⪸1B19))⋳⪒(∂(⫖↰⪸B93∸)↬(⫖↰⪸BA5⪨≂⫖↰⪸3635))=NaN","reverse_text":"NaN=((⫖↰⪸1172⪨≂⫖↰⪸700)⩤)⨎(↣≠⋷(⫖↰⪸1120⨐⩸⫘⫖↰⪸1B19))⋳⪒(∂(⫖↰⪸B93∸)↬(⫖↰⪸BA5⪨≂⫖↰⪸3635))","cot":[{"info":"⫖↰⪸1172⪨≂⫖↰⪸700=⫖↰⪸11AA","layer":3},{"info":"⫖↰⪸11AA⩤=⫖↰⪸-11AA","layer":2},{"info":"⫖↰⪸1120⨐⩸⫘⫖↰⪸1B19=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸-11AA⨎NaN=NaN","layer":1},{"info":"⫖↰⪸B93∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸BA5⪨≂⫖↰⪸3635=⫖↰⪸-5016","layer":3},{"info":"⫖↰⪸129↬⫖↰⪸-5016=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"(⫓⪴($1001$⩷∴$5517$))≭($1056$⊭↱$7594$)⨓($6315$↺$3640$)⋥≓≎(⊥((↩$3755$)∑⇟⊟($1709$⨳⩥⨓$1502$)))","expression":"(⫓⪴(⫖↰⪸6B5⩷∴⫖↰⪸3239))≭(⫖↰⪸740⊭↱⫖↰⪸448A)⨓(⫖↰⪸37A3↺⫖↰⪸2134)⋥≓≎(⊥((↩⫖↰⪸220B)∑⇟⊟(⫖↰⪸BA5⨳⩥⨓⫖↰⪸A52)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60666,"operation_count":11,"complexity_ratio":5515.090909090909,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":5517,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1056,"base":12},"right_expr":{"type":"numeric_atoms","value":7594,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6315,"base":12},"right_expr":{"type":"numeric_atoms","value":3640,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3755,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":1502,"base":12}}}}},"used_operators":["Qy55tPpLXF","rxpJgHHUmx","eLxqMNBOBk","9FxExcQeMw","3ViojmjbAp","COABgblf1C","7j4O788W3g","Q3PJZHRvZv","U7g4x0WXJJ","jLgFTUHLKL","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=5517","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5517, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9064","layer":3},{"info":"compute unary expreesion, input=-9064, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=82156096","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=7594","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=7594, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=13081","layer":3},{"info":"number node, value=6315","layer":4},{"info":"number node, value=3640","layer":4},{"info":"compute binary expreesion, left_input=6315, right_input=3640, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3640","layer":3},{"info":"compute binary expreesion, left_input=13081, right_input=3640, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3643","layer":2},{"info":"compute binary expreesion, left_input=82156096, right_input=-3643, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3755","layer":4},{"info":"compute unary expreesion, input=3755, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-27260","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1502, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-207","layer":3},{"info":"compute binary expreesion, left_input=-27260, right_input=-207, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸6B5⩷∴⫖↰⪸3239))≭(⫖↰⪸740⊭↱⫖↰⪸448A)⨓(⫖↰⪸37A3↺⫖↰⪸2134)⋥≓≎(⊥((↩⫖↰⪸220B)∑⇟⊟(⫖↰⪸BA5⨳⩥⨓⫖↰⪸A52)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫓⪴(⫖↰⪸6B5⩷∴⫖↰⪸3239))≭(⫖↰⪸740⊭↱⫖↰⪸448A)⨓(⫖↰⪸37A3↺⫖↰⪸2134)⋥≓≎(⊥((↩⫖↰⪸220B)∑⇟⊟(⫖↰⪸BA5⨳⩥⨓⫖↰⪸A52)))","cot":[{"info":"⫖↰⪸6B5⩷∴⫖↰⪸3239=⫖↰⪸-52B4","layer":3},{"info":"⫓⪴⫖↰⪸-52B4=⫖↰⪸23620054","layer":2},{"info":"⫖↰⪸740⊭↱⫖↰⪸448A=⫖↰⪸76A1","layer":3},{"info":"⫖↰⪸37A3↺⫖↰⪸2134=⫖↰⪸2134","layer":3},{"info":"⫖↰⪸76A1⨓⫖↰⪸2134=⫖↰⪸-2137","layer":2},{"info":"⫖↰⪸23620054≭⫖↰⪸-2137=NaN","layer":1},{"info":"↩⫖↰⪸220B=⫖↰⪸-13938","layer":3},{"info":"⫖↰⪸BA5⨳⩥⨓⫖↰⪸A52=⫖↰⪸-153","layer":3},{"info":"⫖↰⪸-13938∑⇟⊟⫖↰⪸-153=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
{"id":836,"expression_no_base_symbol":"(⊙↵-(↽≂$6190$↬$2586$))∀⇚≩(⨞⊢(⨰⫟⨤(≤/$8345$)))","expression":"(⊙↵-(↽≂⫖↰⪸36BA↬⫖↰⪸15B6))∀⇚≩(⨞⊢(⨰⫟⨤(≤/⫖↰⪸49B5)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":32371,"operation_count":7,"complexity_ratio":4624.428571428572,"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":6190,"base":12},"right_expr":{"type":"numeric_atoms","value":2586,"base":12}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8345,"base":12}}}}},"used_operators":["LRNGc0VcxI","oWn0xqSxBt","u6S6b8DprG","B5M0gjZbta","xUOZtlo3hN","Tw270M8GLb","eLAdDNolq6"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6190","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=6190, right_input=2586, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute 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=8345","layer":4},{"info":"compute unary expreesion, input=8345, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7861","layer":3},{"info":"compute unary expreesion, input=-7861, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-(↽≂⫖↰⪸36BA↬⫖↰⪸15B6))∀⇚≩(⨞⊢(⨰⫟⨤(≤/⫖↰⪸49B5)))=NaN","reverse_text":"NaN=(⊙↵-(↽≂⫖↰⪸36BA↬⫖↰⪸15B6))∀⇚≩(⨞⊢(⨰⫟⨤(≤/⫖↰⪸49B5)))","cot":[{"info":"⫖↰⪸36BA↬⫖↰⪸15B6=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"≤/⫖↰⪸49B5=⫖↰⪸-4671","layer":3},{"info":"⨰⫟⨤⫖↰⪸-4671=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"((⨈⫕($2309$⫡⨏$1921$))⫥∨⫟(($9004$⇷$6088$)⩠))+⇶⊼(($1988$⫥∨⫟$5960$)∼(+⊝⨔$1131$)⨽((≦∁$2136$)≫≃))","expression":"((⨈⫕(⫖↰⪸1405⫡⨏⫖↰⪸1141))⫥∨⫟((⫖↰⪸5264⇷⫖↰⪸3634)⩠))+⇶⊼((⫖↰⪸1198⫥∨⫟⫖↰⪸3548)∼(+⊝⨔⫖↰⪸7A3)⨽((≦∁⫖↰⪸12A0)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":126843,"operation_count":12,"complexity_ratio":10570.25,"tree":{"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":1921,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":9004,"base":12},"right_expr":{"type":"numeric_atoms","value":6088,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1988,"base":12},"right_expr":{"type":"numeric_atoms","value":5960,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1131,"base":12}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2136,"base":12}}}}},"used_operators":["TpPTUOHfaN","KYD54nUTWz","megm06wKyl","QMFrweE19q","sJAwomhLZr","mp7IySMOzn","8HhzD0ZcuI","DyGG3AbaNP","DhbWaqg5eL","X99M06cbEe","9ICcGScMcE"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2309","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=1921, 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=16170","layer":3},{"info":"compute unary expreesion, input=16170, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=9004","layer":4},{"info":"number node, value=6088","layer":4},{"info":"compute binary expreesion, left_input=9004, right_input=6088, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12176","layer":3},{"info":"compute unary expreesion, input=12176, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1988","layer":4},{"info":"number node, value=5960","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=5960, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=2136","layer":4},{"info":"compute unary expreesion, input=2136, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2136","layer":3},{"info":"compute unary expreesion, input=2136, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5673","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5673, 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 = 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":"((⨈⫕(⫖↰⪸1405⫡⨏⫖↰⪸1141))⫥∨⫟((⫖↰⪸5264⇷⫖↰⪸3634)⩠))+⇶⊼((⫖↰⪸1198⫥∨⫟⫖↰⪸3548)∼(+⊝⨔⫖↰⪸7A3)⨽((≦∁⫖↰⪸12A0)≫≃))=NaN","reverse_text":"NaN=((⨈⫕(⫖↰⪸1405⫡⨏⫖↰⪸1141))⫥∨⫟((⫖↰⪸5264⇷⫖↰⪸3634)⩠))+⇶⊼((⫖↰⪸1198⫥∨⫟⫖↰⪸3548)∼(+⊝⨔⫖↰⪸7A3)⨽((≦∁⫖↰⪸12A0)≫≃))","cot":[{"info":"⫖↰⪸1405⫡⨏⫖↰⪸1141=⫖↰⪸9436","layer":3},{"info":"⨈⫕⫖↰⪸9436=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸5264⇷⫖↰⪸3634=⫖↰⪸7068","layer":3},{"info":"⫖↰⪸7068⩠=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-19⫥∨⫟⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸1198⫥∨⫟⫖↰⪸3548=NaN","layer":3},{"info":"+⊝⨔⫖↰⪸7A3=⫖↰⪸A6A","layer":3},{"info":"NaN∼⫖↰⪸A6A=NaN","layer":2},{"info":"≦∁⫖↰⪸12A0=⫖↰⪸12A0","layer":3},{"info":"⫖↰⪸12A0≫≃=⫖↰⪸3349","layer":2},{"info":"NaN⨽⫖↰⪸3349=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"($2186$*$1103$)≹⇙⪍($2050$⫸⊐$6834$)⩨($4404$↬$1236$/(↽≂$1088$))⩨(⫓⪴$5205$≹⇙⪍$1535$)∀⇚≩(($3683$⊘)∑⇟⊟($1652$⊪))","expression":"(⫖↰⪸1322*⫖↰⪸77B)≹⇙⪍(⫖↰⪸122A⫸⊐⫖↰⪸3B56)⩨(⫖↰⪸2670↬⫖↰⪸870/(↽≂⫖↰⪸768))⩨(⫓⪴⫖↰⪸3019≹⇙⪍⫖↰⪸A7B)∀⇚≩((⫖↰⪸216B⊘)∑⇟⊟(⫖↰⪸B58⊪))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1197,"operation_count":14,"complexity_ratio":85.5,"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":2186,"base":12},"right_expr":{"type":"numeric_atoms","value":1103,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2050,"base":12},"right_expr":{"type":"numeric_atoms","value":6834,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4404,"base":12},"right_expr":{"type":"numeric_atoms","value":1236,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1088,"base":12}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5205,"base":12},"right_expr":{"type":"numeric_atoms","value":1535,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3683,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1652,"base":12}}}}},"used_operators":["2DlMacCsIx","AHs5Up7iyr","9HNa5Wba9A","mqXw5SEYmG","XhwjNDsVaA","B5M0gjZbta","u6S6b8DprG","LRNGc0VcxI","eLxqMNBOBk","U7g4x0WXJJ","gu96TGCTMs","zVYPLywUTj"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2186","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1103, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2411158","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=6834","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=6834, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27211","layer":3},{"info":"compute binary expreesion, left_input=2411158, right_input=27211, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4404","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=1236, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2176","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2176, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=5205","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=5205, right_input=1535, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=3683","layer":4},{"info":"compute unary expreesion, input=3683, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1322*⫖↰⪸77B)≹⇙⪍(⫖↰⪸122A⫸⊐⫖↰⪸3B56)⩨(⫖↰⪸2670↬⫖↰⪸870/(↽≂⫖↰⪸768))⩨(⫓⪴⫖↰⪸3019≹⇙⪍⫖↰⪸A7B)∀⇚≩((⫖↰⪸216B⊘)∑⇟⊟(⫖↰⪸B58⊪))=NaN","reverse_text":"NaN=(⫖↰⪸1322*⫖↰⪸77B)≹⇙⪍(⫖↰⪸122A⫸⊐⫖↰⪸3B56)⩨(⫖↰⪸2670↬⫖↰⪸870/(↽≂⫖↰⪸768))⩨(⫓⪴⫖↰⪸3019≹⇙⪍⫖↰⪸A7B)∀⇚≩((⫖↰⪸216B⊘)∑⇟⊟(⫖↰⪸B58⊪))","cot":[{"info":"⫖↰⪸1322*⫖↰⪸77B=⫖↰⪸98341A","layer":3},{"info":"⫖↰⪸122A⫸⊐⫖↰⪸3B56=⫖↰⪸138B7","layer":3},{"info":"⫖↰⪸98341A≹⇙⪍⫖↰⪸138B7=NaN","layer":2},{"info":"⫖↰⪸2670↬⫖↰⪸870=NaN","layer":3},{"info":"↽≂⫖↰⪸768=⫖↰⪸-1314","layer":3},{"info":"NaN/⫖↰⪸-1314=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫖↰⪸3019≹⇙⪍⫖↰⪸A7B=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫖↰⪸216B⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B58⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN∀⇚≩⫖↰⪸0=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"($1342$∼$1322$⊭↱(⨞⊢$7791$))⨳⩥⨓$5303$⪛$6307$≧⫂∧($1219$⋝⋈⪟$3107$)⫸⊐(≤/($1098$⨓$4796$)∼(+⊝⨔$3167$))","expression":"(⫖↰⪸93A∼⫖↰⪸922⊭↱(⨞⊢⫖↰⪸4613))⨳⩥⨓⫖↰⪸309B⪛⫖↰⪸3797≧⫂∧(⫖↰⪸857⋝⋈⪟⫖↰⪸196B)⫸⊐(≤/(⫖↰⪸776⨓⫖↰⪸2938)∼(+⊝⨔⫖↰⪸19BB))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4990,"operation_count":12,"complexity_ratio":415.8333333333333,"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":1342,"base":12},"right_expr":{"type":"numeric_atoms","value":1322,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7791,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5303,"base":12},"right_expr":{"type":"numeric_atoms","value":6307,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":3107,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1098,"base":12},"right_expr":{"type":"numeric_atoms","value":4796,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3167,"base":12}}}}},"used_operators":["mqXw5SEYmG","nCS4ZIUYfx","COABgblf1C","DyGG3AbaNP","xUOZtlo3hN","Ph9nP6C5qx","uFcxV4UQCh","2DDjHMKMc0","eLAdDNolq6","3ViojmjbAp","DhbWaqg5eL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1322, 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=7791","layer":4},{"info":"compute unary expreesion, input=7791, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7965","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7965, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=5303","layer":4},{"info":"number node, value=6307","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=6307, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5303","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=3107, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1219","layer":3},{"info":"compute binary expreesion, left_input=5303, right_input=1219, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=746","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=746, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1098","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=4796, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4799","layer":3},{"info":"number node, value=3167","layer":4},{"info":"compute unary expreesion, input=3167, 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=-4799, right_input=1522, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(⫖↰⪸93A∼⫖↰⪸922⊭↱(⨞⊢⫖↰⪸4613))⨳⩥⨓⫖↰⪸309B⪛⫖↰⪸3797≧⫂∧(⫖↰⪸857⋝⋈⪟⫖↰⪸196B)⫸⊐(≤/(⫖↰⪸776⨓⫖↰⪸2938)∼(+⊝⨔⫖↰⪸19BB))=NaN","reverse_text":"NaN=(⫖↰⪸93A∼⫖↰⪸922⊭↱(⨞⊢⫖↰⪸4613))⨳⩥⨓⫖↰⪸309B⪛⫖↰⪸3797≧⫂∧(⫖↰⪸857⋝⋈⪟⫖↰⪸196B)⫸⊐(≤/(⫖↰⪸776⨓⫖↰⪸2938)∼(+⊝⨔⫖↰⪸19BB))","cot":[{"info":"⫖↰⪸93A∼⫖↰⪸922=NaN","layer":3},{"info":"⨞⊢⫖↰⪸4613=⫖↰⪸-4739","layer":3},{"info":"NaN⊭↱⫖↰⪸-4739=NaN","layer":2},{"info":"⫖↰⪸309B⪛⫖↰⪸3797=⫖↰⪸309B","layer":3},{"info":"⫖↰⪸857⋝⋈⪟⫖↰⪸196B=⫖↰⪸857","layer":3},{"info":"⫖↰⪸309B≧⫂∧⫖↰⪸857=⫖↰⪸522","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸522=NaN","layer":1},{"info":"⫖↰⪸776⨓⫖↰⪸2938=⫖↰⪸-293B","layer":3},{"info":"+⊝⨔⫖↰⪸19BB=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸-293B∼⫖↰⪸A6A=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"(↣≠⋷(($4878$⨟⋌⩍$1132$)⪮%⊝($2136$⋓$1311$)))⪢((($1288$%$1621$)⪄($2815$∸))⊦⊿)","expression":"(↣≠⋷((⫖↰⪸29A6⨟⋌⩍⫖↰⪸7A4)⪮%⊝(⫖↰⪸12A0⋓⫖↰⪸913)))⪢(((⫖↰⪸8B4%⫖↰⪸B31)⪄(⫖↰⪸1767∸))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":562489,"operation_count":9,"complexity_ratio":62498.77777777778,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4878,"base":12},"right_expr":{"type":"numeric_atoms","value":1132,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2136,"base":12},"right_expr":{"type":"numeric_atoms","value":1311,"base":12}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1288,"base":12},"right_expr":{"type":"numeric_atoms","value":1621,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2815,"base":12}}}}},"used_operators":["dWAJyo7jo9","Asc51vEJeQ","IWmyXbctLI","rGHVDoGpnC","T2fj7uvVaJ","14qkJME0vr","SUmda5xLS4","k8jYdgA6NY","o20kRiQErp"],"dependent_operators":["k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4878","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=4878, right_input=1132, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2136","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=1311, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1288","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=1621, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1288","layer":3},{"info":"number node, value=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1288, right_input=177, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-187421","layer":2},{"info":"compute unary expreesion, input=-187421, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=562184","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=562184, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"(↣≠⋷((⫖↰⪸29A6⨟⋌⩍⫖↰⪸7A4)⪮%⊝(⫖↰⪸12A0⋓⫖↰⪸913)))⪢(((⫖↰⪸8B4%⫖↰⪸B31)⪄(⫖↰⪸1767∸))⊦⊿)=NaN","reverse_text":"NaN=(↣≠⋷((⫖↰⪸29A6⨟⋌⩍⫖↰⪸7A4)⪮%⊝(⫖↰⪸12A0⋓⫖↰⪸913)))⪢(((⫖↰⪸8B4%⫖↰⪸B31)⪄(⫖↰⪸1767∸))⊦⊿)","cot":[{"info":"⫖↰⪸29A6⨟⋌⩍⫖↰⪸7A4=NaN","layer":3},{"info":"⫖↰⪸12A0⋓⫖↰⪸913=⫖↰⪸0","layer":3},{"info":"NaN⪮%⊝⫖↰⪸0=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⫖↰⪸8B4%⫖↰⪸B31=⫖↰⪸8B4","layer":3},{"info":"⫖↰⪸1767∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸8B4⪄⫖↰⪸129=⫖↰⪸-90565","layer":2},{"info":"⫖↰⪸-90565⊦⊿=⫖↰⪸231408","layer":1},{"info":"NaN⪢⫖↰⪸231408=NaN","layer":0}]}
{"id":841,"expression_no_base_symbol":"($3728$∼$1141$∲⫓($8210$⊘))⨰(⨑⩽⪐($2631$⪨≂$4307$))⨐⩸⫘((⫛⫱⨽($5132$⪛$1389$))⋷((⊙↵-$1674$)⊪))","expression":"(⫖↰⪸21A8∼⫖↰⪸7B1∲⫓(⫖↰⪸4902⊘))⨰(⨑⩽⪐(⫖↰⪸1633⪨≂⫖↰⪸25AB))⨐⩸⫘((⫛⫱⨽(⫖↰⪸2B78⪛⫖↰⪸979))⋷((⊙↵-⫖↰⪸B76)⊪))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3277,"operation_count":12,"complexity_ratio":273.0833333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3728,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":8210,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2631,"base":12},"right_expr":{"type":"numeric_atoms","value":4307,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5132,"base":12},"right_expr":{"type":"numeric_atoms","value":1389,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1674,"base":12}}}}},"used_operators":["fu6greOZ01","eewbuw0ToL","i8ToyICDmI","DyGG3AbaNP","gu96TGCTMs","AF7qkfDlqP","sdazOOVcIp","23Mk6UjR3U","DlLNRPXxWL","uFcxV4UQCh","zVYPLywUTj","oWn0xqSxBt"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3728","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=3728, right_input=1141, 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=8210","layer":4},{"info":"compute unary expreesion, input=8210, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=2631","layer":4},{"info":"number node, value=4307","layer":4},{"info":"compute binary expreesion, left_input=2631, right_input=4307, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3250","layer":3},{"info":"compute unary expreesion, input=-3250, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=7289","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7289, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5132","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=1389, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=965","layer":3},{"info":"compute unary expreesion, input=965, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 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=0, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸21A8∼⫖↰⪸7B1∲⫓(⫖↰⪸4902⊘))⨰(⨑⩽⪐(⫖↰⪸1633⪨≂⫖↰⪸25AB))⨐⩸⫘((⫛⫱⨽(⫖↰⪸2B78⪛⫖↰⪸979))⋷((⊙↵-⫖↰⪸B76)⊪))=NaN","reverse_text":"NaN=(⫖↰⪸21A8∼⫖↰⪸7B1∲⫓(⫖↰⪸4902⊘))⨰(⨑⩽⪐(⫖↰⪸1633⪨≂⫖↰⪸25AB))⨐⩸⫘((⫛⫱⨽(⫖↰⪸2B78⪛⫖↰⪸979))⋷((⊙↵-⫖↰⪸B76)⊪))","cot":[{"info":"⫖↰⪸21A8∼⫖↰⪸7B1=NaN","layer":3},{"info":"⫖↰⪸4902⊘=⫖↰⪸0","layer":3},{"info":"NaN∲⫓⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1633⪨≂⫖↰⪸25AB=⫖↰⪸-1A6A","layer":3},{"info":"⨑⩽⪐⫖↰⪸-1A6A=⫖↰⪸4275","layer":2},{"info":"NaN⨰⫖↰⪸4275=NaN","layer":1},{"info":"⫖↰⪸2B78⪛⫖↰⪸979=⫖↰⪸685","layer":3},{"info":"⫛⫱⨽⫖↰⪸685=⫖↰⪸0","layer":2},{"info":"⊙↵-⫖↰⪸B76=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-1⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⋷⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸0=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"(($1224$∀⇚≩$2331$⪨≂(∥⊫$1034$))⩷∴(⊄⩳↩($2301$⨐⩸⫘$3522$)))⇷(($7154$∑⇟⊟$4599$⨐⩸⫘($1214$⫸⊐$1182$))⨐⩸⫘$3465$⪮%⊝$5147$⨎$1416$↬$2700$)","expression":"((⫖↰⪸860∀⇚≩⫖↰⪸1423⪨≂(∥⊫⫖↰⪸722))⩷∴(⊄⩳↩(⫖↰⪸13B9⨐⩸⫘⫖↰⪸2056)))⇷((⫖↰⪸4182∑⇟⊟⫖↰⪸27B3⨐⩸⫘(⫖↰⪸852⫸⊐⫖↰⪸826))⨐⩸⫘⫖↰⪸2009⪮%⊝⫖↰⪸2B8B⨎⫖↰⪸9A0↬⫖↰⪸1690)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8632,"operation_count":14,"complexity_ratio":616.5714285714286,"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":1224,"base":12},"right_expr":{"type":"numeric_atoms","value":2331,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1034,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2301,"base":12},"right_expr":{"type":"numeric_atoms","value":3522,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7154,"base":12},"right_expr":{"type":"numeric_atoms","value":4599,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1214,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"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":5147,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":2700,"base":12}}}}},"used_operators":["mp7IySMOzn","9FxExcQeMw","sdazOOVcIp","LRNGc0VcxI","P8v4zCKN1o","8w2t5hMYqp","fu6greOZ01","U7g4x0WXJJ","mqXw5SEYmG","rJVOvQCfKK","IWmyXbctLI","B5M0gjZbta"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=2331, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1902","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1902, op_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=2301","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=3522, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=7154","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=7154, right_input=4599, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1214","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=1182, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4603","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4603, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3465","layer":4},{"info":"number node, value=5147","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=5147, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7246","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=2700, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7246, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸860∀⇚≩⫖↰⪸1423⪨≂(∥⊫⫖↰⪸722))⩷∴(⊄⩳↩(⫖↰⪸13B9⨐⩸⫘⫖↰⪸2056)))⇷((⫖↰⪸4182∑⇟⊟⫖↰⪸27B3⨐⩸⫘(⫖↰⪸852⫸⊐⫖↰⪸826))⨐⩸⫘⫖↰⪸2009⪮%⊝⫖↰⪸2B8B⨎⫖↰⪸9A0↬⫖↰⪸1690)=NaN","reverse_text":"NaN=((⫖↰⪸860∀⇚≩⫖↰⪸1423⪨≂(∥⊫⫖↰⪸722))⩷∴(⊄⩳↩(⫖↰⪸13B9⨐⩸⫘⫖↰⪸2056)))⇷((⫖↰⪸4182∑⇟⊟⫖↰⪸27B3⨐⩸⫘(⫖↰⪸852⫸⊐⫖↰⪸826))⨐⩸⫘⫖↰⪸2009⪮%⊝⫖↰⪸2B8B⨎⫖↰⪸9A0↬⫖↰⪸1690)","cot":[{"info":"⫖↰⪸860∀⇚≩⫖↰⪸1423=NaN","layer":3},{"info":"∥⊫⫖↰⪸722=⫖↰⪸1126","layer":3},{"info":"NaN⪨≂⫖↰⪸1126=NaN","layer":2},{"info":"⫖↰⪸13B9⨐⩸⫘⫖↰⪸2056=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸4182∑⇟⊟⫖↰⪸27B3=NaN","layer":3},{"info":"⫖↰⪸852⫸⊐⫖↰⪸826=⫖↰⪸27B7","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸27B7=NaN","layer":2},{"info":"⫖↰⪸2009⪮%⊝⫖↰⪸2B8B=⫖↰⪸423A","layer":3},{"info":"⫖↰⪸9A0↬⫖↰⪸1690=NaN","layer":3},{"info":"⫖↰⪸423A⨎NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":843,"expression_no_base_symbol":"((⨰⫟⨤$1064$)*(⊥$3295$))≧⫂∧(($3003$⊉≛↸$3533$)⪄$7858$⨟⋌⩍$7986$)↛⩡⫤","expression":"((⨰⫟⨤⫖↰⪸748)*(⊥⫖↰⪸1AA7))≧⫂∧((⫖↰⪸18A3⊉≛↸⫖↰⪸2065)⪄⫖↰⪸466A⨟⋌⩍⫖↰⪸4756)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3579,"operation_count":8,"complexity_ratio":447.375,"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":1064,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3295,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3003,"base":12},"right_expr":{"type":"numeric_atoms","value":3533,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7858,"base":12},"right_expr":{"type":"numeric_atoms","value":7986,"base":12}}}}},"used_operators":["FU0Cs4j7VP","Ph9nP6C5qx","9HNa5Wba9A","Tw270M8GLb","Q3PJZHRvZv","SUmda5xLS4","DZ8iAZOCBD","rGHVDoGpnC"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3295","layer":4},{"info":"compute unary expreesion, input=3295, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3003","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=3003, right_input=3533, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6006","layer":3},{"info":"number node, value=7858","layer":4},{"info":"number node, value=7986","layer":4},{"info":"compute binary expreesion, left_input=7858, right_input=7986, 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=6006, 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=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"((⨰⫟⨤⫖↰⪸748)*(⊥⫖↰⪸1AA7))≧⫂∧((⫖↰⪸18A3⊉≛↸⫖↰⪸2065)⪄⫖↰⪸466A⨟⋌⩍⫖↰⪸4756)↛⩡⫤=NaN","reverse_text":"NaN=((⨰⫟⨤⫖↰⪸748)*(⊥⫖↰⪸1AA7))≧⫂∧((⫖↰⪸18A3⊉≛↸⫖↰⪸2065)⪄⫖↰⪸466A⨟⋌⩍⫖↰⪸4756)↛⩡⫤","cot":[{"info":"⨰⫟⨤⫖↰⪸748=NaN","layer":3},{"info":"⊥⫖↰⪸1AA7=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⫖↰⪸18A3⊉≛↸⫖↰⪸2065=⫖↰⪸3586","layer":3},{"info":"⫖↰⪸466A⨟⋌⩍⫖↰⪸4756=NaN","layer":3},{"info":"⫖↰⪸3586⪄NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(⫛⫱⨽((⋗⩬⋾$3346$)≭(⨞⊢$2742$)))⨪↰⇹(($2233$⊉≛↸$1173$)↬($5619$≋⫹))⪮%⊝(($1486$⋷$2037$)⋓($2829$≭$1251$))","expression":"(⫛⫱⨽((⋗⩬⋾⫖↰⪸1B2A)≭(⨞⊢⫖↰⪸1706)))⨪↰⇹((⫖↰⪸1361⊉≛↸⫖↰⪸819)↬(⫖↰⪸3303≋⫹))⪮%⊝((⫖↰⪸A3A⋷⫖↰⪸1219)⋓(⫖↰⪸1779≭⫖↰⪸883))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":951,"operation_count":12,"complexity_ratio":79.25,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3346,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2742,"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":1173,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5619,"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":2037,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2829,"base":12},"right_expr":{"type":"numeric_atoms","value":1251,"base":12}}}}},"used_operators":["tmPS8pqC7x","DlLNRPXxWL","rxpJgHHUmx","DpFCA1CohY","xUOZtlo3hN","IWmyXbctLI","B5M0gjZbta","DZ8iAZOCBD","N41Kp7NANJ","T2fj7uvVaJ","23Mk6UjR3U"],"dependent_operators":["rJVOvQCfKK","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3346","layer":4},{"info":"compute unary expreesion, input=3346, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10038","layer":3},{"info":"number node, value=2742","layer":4},{"info":"compute unary expreesion, input=2742, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2916","layer":3},{"info":"compute binary expreesion, left_input=-10038, right_input=-2916, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=2233","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=1173, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4466","layer":3},{"info":"number node, value=5619","layer":4},{"info":"compute unary expreesion, input=5619, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11238","layer":3},{"info":"compute binary expreesion, left_input=4466, right_input=-11238, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1486","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=2037, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2588","layer":3},{"info":"number node, value=2829","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=1251, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2588, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫛⫱⨽((⋗⩬⋾⫖↰⪸1B2A)≭(⨞⊢⫖↰⪸1706)))⨪↰⇹((⫖↰⪸1361⊉≛↸⫖↰⪸819)↬(⫖↰⪸3303≋⫹))⪮%⊝((⫖↰⪸A3A⋷⫖↰⪸1219)⋓(⫖↰⪸1779≭⫖↰⪸883))=NaN","reverse_text":"NaN=(⫛⫱⨽((⋗⩬⋾⫖↰⪸1B2A)≭(⨞⊢⫖↰⪸1706)))⨪↰⇹((⫖↰⪸1361⊉≛↸⫖↰⪸819)↬(⫖↰⪸3303≋⫹))⪮%⊝((⫖↰⪸A3A⋷⫖↰⪸1219)⋓(⫖↰⪸1779≭⫖↰⪸883))","cot":[{"info":"⋗⩬⋾⫖↰⪸1B2A=⫖↰⪸-5986","layer":3},{"info":"⨞⊢⫖↰⪸1706=⫖↰⪸-1830","layer":3},{"info":"⫖↰⪸-5986≭⫖↰⪸-1830=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⫖↰⪸1361⊉≛↸⫖↰⪸819=⫖↰⪸2702","layer":3},{"info":"⫖↰⪸3303≋⫹=⫖↰⪸-6606","layer":3},{"info":"⫖↰⪸2702↬⫖↰⪸-6606=NaN","layer":2},{"info":"⫖↰⪸A3A⋷⫖↰⪸1219=⫖↰⪸15B8","layer":3},{"info":"⫖↰⪸1779≭⫖↰⪸883=NaN","layer":3},{"info":"⫖↰⪸15B8⋓NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":845,"expression_no_base_symbol":"($2629$↙$3117$)⫥∨⫟(≉$1377$)⋳⪒($1494$⊭↱$5756$)⨓$2230$⪢$3491$⨵⪆(∂(-$5674$)⊴(⨈⫕$7068$))","expression":"(⫖↰⪸1631↙⫖↰⪸1979)⫥∨⫟(≉⫖↰⪸969)⋳⪒(⫖↰⪸A46⊭↱⫖↰⪸33B8)⨓⫖↰⪸135A⪢⫖↰⪸202B⨵⪆(∂(-⫖↰⪸334A)⊴(⨈⫕⫖↰⪸4110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11725,"operation_count":12,"complexity_ratio":977.0833333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2629,"base":12},"right_expr":{"type":"numeric_atoms","value":3117,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1377,"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":5756,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2230,"base":12},"right_expr":{"type":"numeric_atoms","value":3491,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5674,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7068,"base":12}}}}},"used_operators":["2DQ55sFlQl","12rbrZMWeM","KYD54nUTWz","yyfyN0ffXY","e1ybzncUwg","3ViojmjbAp","COABgblf1C","dWAJyo7jo9","Uaa54Peajs","Nsiff2A1zJ","t8gj7n24qd","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2629","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=3117, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9351","layer":3},{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1908","layer":3},{"info":"compute binary expreesion, left_input=-9351, right_input=1908, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1494","layer":4},{"info":"number node, value=5756","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=5756, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8529","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=3491, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=8529, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=5674","layer":4},{"info":"compute unary expreesion, input=5674, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5674","layer":3},{"info":"number node, value=7068","layer":4},{"info":"compute unary expreesion, input=7068, 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=-5674, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1631↙⫖↰⪸1979)⫥∨⫟(≉⫖↰⪸969)⋳⪒(⫖↰⪸A46⊭↱⫖↰⪸33B8)⨓⫖↰⪸135A⪢⫖↰⪸202B⨵⪆(∂(-⫖↰⪸334A)⊴(⨈⫕⫖↰⪸4110))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1631↙⫖↰⪸1979)⫥∨⫟(≉⫖↰⪸969)⋳⪒(⫖↰⪸A46⊭↱⫖↰⪸33B8)⨓⫖↰⪸135A⪢⫖↰⪸202B⨵⪆(∂(-⫖↰⪸334A)⊴(⨈⫕⫖↰⪸4110))","cot":[{"info":"⫖↰⪸1631↙⫖↰⪸1979=⫖↰⪸-54B3","layer":3},{"info":"≉⫖↰⪸969=⫖↰⪸1130","layer":3},{"info":"⫖↰⪸-54B3⫥∨⫟⫖↰⪸1130=NaN","layer":2},{"info":"⫖↰⪸A46⊭↱⫖↰⪸33B8=⫖↰⪸4B29","layer":3},{"info":"⫖↰⪸135A⪢⫖↰⪸202B=NaN","layer":3},{"info":"⫖↰⪸4B29⨓NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"-⫖↰⪸334A=⫖↰⪸-334A","layer":3},{"info":"⨈⫕⫖↰⪸4110=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-334A⊴⫖↰⪸-19=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":846,"expression_no_base_symbol":"(($8335$⪘⫢$4057$)⪘⫢(⨵≀≌$4410$))∼(($3408$⪒$9187$)⩚⊴⇥($3171$↺$4373$))⋫","expression":"((⫖↰⪸49A7⪘⫢⫖↰⪸2421)⪘⫢(⨵≀≌⫖↰⪸2676))∼((⫖↰⪸1B80⪒⫖↰⪸5397)⩚⊴⇥(⫖↰⪸1A03↺⫖↰⪸2645))⋫","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":39,"operation_count":8,"complexity_ratio":4.875,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8335,"base":12},"right_expr":{"type":"numeric_atoms","value":4057,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4410,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3408,"base":12},"right_expr":{"type":"numeric_atoms","value":9187,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3171,"base":12},"right_expr":{"type":"numeric_atoms","value":4373,"base":12}}}}},"used_operators":["JL8yIekQnl","DyGG3AbaNP","oacrs7FA3X","srAu1WTS94","NTOWxs364D","f6k1SAg4EE","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8335","layer":4},{"info":"number node, value=4057","layer":4},{"info":"compute binary expreesion, left_input=8335, right_input=4057, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16546","layer":3},{"info":"number node, value=4410","layer":4},{"info":"compute unary expreesion, input=4410, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13230","layer":3},{"info":"compute binary expreesion, left_input=16546, right_input=-13230, 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=3408","layer":4},{"info":"number node, value=9187","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=9187, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12595","layer":3},{"info":"number node, value=3171","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=4373, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4373","layer":3},{"info":"compute binary expreesion, left_input=-12595, right_input=4373, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=8101","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8101, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸49A7⪘⫢⫖↰⪸2421)⪘⫢(⨵≀≌⫖↰⪸2676))∼((⫖↰⪸1B80⪒⫖↰⪸5397)⩚⊴⇥(⫖↰⪸1A03↺⫖↰⪸2645))⋫=NaN","reverse_text":"NaN=((⫖↰⪸49A7⪘⫢⫖↰⪸2421)⪘⫢(⨵≀≌⫖↰⪸2676))∼((⫖↰⪸1B80⪒⫖↰⪸5397)⩚⊴⇥(⫖↰⪸1A03↺⫖↰⪸2645))⋫","cot":[{"info":"⫖↰⪸49A7⪘⫢⫖↰⪸2421=⫖↰⪸96AA","layer":3},{"info":"⨵≀≌⫖↰⪸2676=⫖↰⪸-77A6","layer":3},{"info":"⫖↰⪸96AA⪘⫢⫖↰⪸-77A6=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B80⪒⫖↰⪸5397=⫖↰⪸-7357","layer":3},{"info":"⫖↰⪸1A03↺⫖↰⪸2645=⫖↰⪸2645","layer":3},{"info":"⫖↰⪸-7357⩚⊴⇥⫖↰⪸2645=⫖↰⪸4831","layer":2},{"info":"⫖↰⪸0∼⫖↰⪸4831=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"(≉(⊄⩳↩($6237$∑⇟⊟$1326$)))⪘⫢(($1689$≫≃)⨪↰⇹(↔$1788$)⋝⋈⪟((⪝⪂⫅$2729$)≧⫂∧$1237$⨟⋌⩍$1000$))","expression":"(≉(⊄⩳↩(⫖↰⪸3739∑⇟⊟⫖↰⪸926)))⪘⫢((⫖↰⪸B89≫≃)⨪↰⇹(↔⫖↰⪸1050)⋝⋈⪟((⪝⪂⫅⫖↰⪸16B5)≧⫂∧⫖↰⪸871⨟⋌⩍⫖↰⪸6B4))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9471,"operation_count":11,"complexity_ratio":861.0,"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":6237,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1689,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1788,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2729,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1237,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}}}}},"used_operators":["oacrs7FA3X","e1ybzncUwg","8w2t5hMYqp","U7g4x0WXJJ","2DDjHMKMc0","tmPS8pqC7x","X99M06cbEe","ruOEQAzv1W","Ph9nP6C5qx","XTarYq4gQB","rGHVDoGpnC"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6237","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=6237, right_input=1326, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute 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=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4779","layer":3},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1515","layer":3},{"info":"compute binary expreesion, left_input=4779, right_input=-1515, 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=4779","layer":2},{"info":"number node, value=2729","layer":4},{"info":"compute unary expreesion, input=2729, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-401163","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1000, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":3},{"info":"compute binary expreesion, left_input=-401163, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=4779, right_input=-473, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4779","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4779, 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":"(≉(⊄⩳↩(⫖↰⪸3739∑⇟⊟⫖↰⪸926)))⪘⫢((⫖↰⪸B89≫≃)⨪↰⇹(↔⫖↰⪸1050)⋝⋈⪟((⪝⪂⫅⫖↰⪸16B5)≧⫂∧⫖↰⪸871⨟⋌⩍⫖↰⪸6B4))=NaN","reverse_text":"NaN=(≉(⊄⩳↩(⫖↰⪸3739∑⇟⊟⫖↰⪸926)))⪘⫢((⫖↰⪸B89≫≃)⨪↰⇹(↔⫖↰⪸1050)⋝⋈⪟((⪝⪂⫅⫖↰⪸16B5)≧⫂∧⫖↰⪸871⨟⋌⩍⫖↰⪸6B4))","cot":[{"info":"⫖↰⪸3739∑⇟⊟⫖↰⪸926=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫖↰⪸B89≫≃=⫖↰⪸2923","layer":3},{"info":"↔⫖↰⪸1050=⫖↰⪸-A63","layer":3},{"info":"⫖↰⪸2923⨪↰⇹⫖↰⪸-A63=⫖↰⪸2923","layer":2},{"info":"⪝⪂⫅⫖↰⪸16B5=⫖↰⪸-1741A3","layer":3},{"info":"⫖↰⪸871⨟⋌⩍⫖↰⪸6B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1741A3≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸2923⋝⋈⪟⫖↰⪸-335=⫖↰⪸2923","layer":1},{"info":"NaN⪘⫢⫖↰⪸2923=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"(($5875$∧)⨟⋌⩍($1960$⇼⇔∾$4120$)%(⪲⇎($4295$⨸⪁$1107$)))∧","expression":"((⫖↰⪸3497∧)⨟⋌⩍(⫖↰⪸1174⇼⇔∾⫖↰⪸2474)%(⪲⇎(⫖↰⪸259B⨸⪁⫖↰⪸783)))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23,"operation_count":7,"complexity_ratio":3.2857142857142856,"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":5875,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1960,"base":12},"right_expr":{"type":"numeric_atoms","value":4120,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4295,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}}}}},"used_operators":["z63VuFQld9","k8jYdgA6NY","rGHVDoGpnC","tifHPKVTfV","XPYlsWDdGa","g55IO6H4Gj"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5875","layer":4},{"info":"compute unary expreesion, input=5875, 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=1960","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=4120, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2160, 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=4295","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=4295, right_input=1107, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10804","layer":3},{"info":"compute unary expreesion, input=10804, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=21608","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21608, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3497∧)⨟⋌⩍(⫖↰⪸1174⇼⇔∾⫖↰⪸2474)%(⪲⇎(⫖↰⪸259B⨸⪁⫖↰⪸783)))∧=NaN","reverse_text":"NaN=((⫖↰⪸3497∧)⨟⋌⩍(⫖↰⪸1174⇼⇔∾⫖↰⪸2474)%(⪲⇎(⫖↰⪸259B⨸⪁⫖↰⪸783)))∧","cot":[{"info":"⫖↰⪸3497∧=NaN","layer":3},{"info":"⫖↰⪸1174⇼⇔∾⫖↰⪸2474=⫖↰⪸1300","layer":3},{"info":"NaN⨟⋌⩍⫖↰⪸1300=NaN","layer":2},{"info":"⫖↰⪸259B⨸⪁⫖↰⪸783=⫖↰⪸6304","layer":3},{"info":"⪲⇎⫖↰⪸6304=⫖↰⪸10608","layer":2},{"info":"NaN%⫖↰⪸10608=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"(⨑⩽⪐$3731$↬$1588$)↺(⊄⩳↩($4622$-$1221$))⩨($5296$⇼⇔∾$1516$*$1142$⨰$4834$⋷($2671$⨳⩥⨓$5378$⪨≂$4490$∼$1247$))","expression":"(⨑⩽⪐⫖↰⪸21AB↬⫖↰⪸B04)↺(⊄⩳↩(⫖↰⪸2812-⫖↰⪸859))⩨(⫖↰⪸3094⇼⇔∾⫖↰⪸A64*⫖↰⪸7B2⨰⫖↰⪸296A⋷(⫖↰⪸1667⨳⩥⨓⫖↰⪸3142⪨≂⫖↰⪸2722∼⫖↰⪸87B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3809,"operation_count":13,"complexity_ratio":293.0,"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":3731,"base":12},"right_expr":{"type":"numeric_atoms","value":1588,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4622,"base":12},"right_expr":{"type":"numeric_atoms","value":1221,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5296,"base":12},"right_expr":{"type":"numeric_atoms","value":1516,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1142,"base":12},"right_expr":{"type":"numeric_atoms","value":4834,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2671,"base":12},"right_expr":{"type":"numeric_atoms","value":5378,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4490,"base":12},"right_expr":{"type":"numeric_atoms","value":1247,"base":12}}}}},"used_operators":["2DlMacCsIx","7j4O788W3g","AF7qkfDlqP","B5M0gjZbta","8w2t5hMYqp","rysDP5nf3Z","23Mk6UjR3U","9HNa5Wba9A","tifHPKVTfV","eewbuw0ToL","sdazOOVcIp","nCS4ZIUYfx","DyGG3AbaNP"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3731","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=1588, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"number node, value=4622","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=1221, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3401","layer":3},{"info":"compute unary expreesion, input=3401, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10203","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10203, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10203","layer":1},{"info":"number node, value=5296","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=1516, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3780","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=4834, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3682","layer":3},{"info":"compute binary expreesion, left_input=-3780, right_input=-3682, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13917960","layer":2},{"info":"number node, value=2671","layer":4},{"info":"number node, value=5378","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=5378, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2707","layer":3},{"info":"number node, value=4490","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=1247, 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=2707, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13917960, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10203, right_input=nan, 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":"(⨑⩽⪐⫖↰⪸21AB↬⫖↰⪸B04)↺(⊄⩳↩(⫖↰⪸2812-⫖↰⪸859))⩨(⫖↰⪸3094⇼⇔∾⫖↰⪸A64*⫖↰⪸7B2⨰⫖↰⪸296A⋷(⫖↰⪸1667⨳⩥⨓⫖↰⪸3142⪨≂⫖↰⪸2722∼⫖↰⪸87B))=NaN","reverse_text":"NaN=(⨑⩽⪐⫖↰⪸21AB↬⫖↰⪸B04)↺(⊄⩳↩(⫖↰⪸2812-⫖↰⪸859))⩨(⫖↰⪸3094⇼⇔∾⫖↰⪸A64*⫖↰⪸7B2⨰⫖↰⪸296A⋷(⫖↰⪸1667⨳⩥⨓⫖↰⪸3142⪨≂⫖↰⪸2722∼⫖↰⪸87B))","cot":[{"info":"⫖↰⪸21AB↬⫖↰⪸B04=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫖↰⪸2812-⫖↰⪸859=⫖↰⪸1B75","layer":3},{"info":"⊄⩳↩⫖↰⪸1B75=⫖↰⪸-5AA3","layer":2},{"info":"NaN↺⫖↰⪸-5AA3=⫖↰⪸-5AA3","layer":1},{"info":"⫖↰⪸3094⇼⇔∾⫖↰⪸A64=⫖↰⪸-2230","layer":3},{"info":"⫖↰⪸7B2⨰⫖↰⪸296A=⫖↰⪸-216A","layer":3},{"info":"⫖↰⪸-2230*⫖↰⪸-216A=⫖↰⪸47B2460","layer":2},{"info":"⫖↰⪸1667⨳⩥⨓⫖↰⪸3142=⫖↰⪸1697","layer":3},{"info":"⫖↰⪸2722∼⫖↰⪸87B=NaN","layer":3},{"info":"⫖↰⪸1697⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸47B2460⋷NaN=NaN","layer":1},{"info":"⫖↰⪸-5AA3⩨NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"⩦⩻⨪((∂$4996$)⊭↱($1219$⋷$5915$))⪛(($2153$∲⫓$2163$)⫥∨⫟(↽≂$7620$))","expression":"⩦⩻⨪((∂⫖↰⪸2A84)⊭↱(⫖↰⪸857⋷⫖↰⪸350B))⪛((⫖↰⪸12B5∲⫓⫖↰⪸1303)⫥∨⫟(↽≂⫖↰⪸44B0))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":176,"operation_count":8,"complexity_ratio":22.0,"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":4996,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":5915,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2153,"base":12},"right_expr":{"type":"numeric_atoms","value":2163,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7620,"base":12}}}}},"used_operators":["2td37pGCOC","uFcxV4UQCh","COABgblf1C","Uaa54Peajs","23Mk6UjR3U","KYD54nUTWz","i8ToyICDmI","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4996","layer":4},{"info":"compute unary expreesion, input=4996, 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=1219","layer":4},{"info":"number node, value=5915","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=5915, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10611","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10611, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2153","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=2163, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=7620","layer":4},{"info":"compute unary expreesion, input=7620, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15240","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-15240, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((∂⫖↰⪸2A84)⊭↱(⫖↰⪸857⋷⫖↰⪸350B))⪛((⫖↰⪸12B5∲⫓⫖↰⪸1303)⫥∨⫟(↽≂⫖↰⪸44B0))=NaN","reverse_text":"NaN=⩦⩻⨪((∂⫖↰⪸2A84)⊭↱(⫖↰⪸857⋷⫖↰⪸350B))⪛((⫖↰⪸12B5∲⫓⫖↰⪸1303)⫥∨⫟(↽≂⫖↰⪸44B0))","cot":[{"info":"∂⫖↰⪸2A84=NaN","layer":3},{"info":"⫖↰⪸857⋷⫖↰⪸350B=⫖↰⪸6183","layer":3},{"info":"NaN⊭↱⫖↰⪸6183=NaN","layer":2},{"info":"⫖↰⪸12B5∲⫓⫖↰⪸1303=⫖↰⪸0","layer":3},{"info":"↽≂⫖↰⪸44B0=⫖↰⪸-89A0","layer":3},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸-89A0=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"(⪝⪂⫅($2408$⩨$1227$⊉≛↸$1519$⪘⫢$1390$))+⇶⊼($2512$⨳⩥⨓$5582$⊉≛↸($2186$⊘))⨟⋌⩍(($3214$⋷$6600$)⊠≄⫣)","expression":"(⪝⪂⫅(⫖↰⪸1488⩨⫖↰⪸863⊉≛↸⫖↰⪸A67⪘⫢⫖↰⪸97A))+⇶⊼(⫖↰⪸1554⨳⩥⨓⫖↰⪸3292⊉≛↸(⫖↰⪸1322⊘))⨟⋌⩍((⫖↰⪸1A3A⋷⫖↰⪸39A0)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":57,"operation_count":11,"complexity_ratio":5.181818181818182,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2408,"base":12},"right_expr":{"type":"numeric_atoms","value":1227,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1519,"base":12},"right_expr":{"type":"numeric_atoms","value":1390,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2512,"base":12},"right_expr":{"type":"numeric_atoms","value":5582,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2186,"base":12}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3214,"base":12},"right_expr":{"type":"numeric_atoms","value":6600,"base":12}}}}},"used_operators":["TpPTUOHfaN","XTarYq4gQB","DZ8iAZOCBD","2DlMacCsIx","oacrs7FA3X","rGHVDoGpnC","nCS4ZIUYfx","gu96TGCTMs","DIvbN7qnHd","23Mk6UjR3U"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2408","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=1227, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1390, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2914","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2914, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":1},{"info":"number node, value=2512","layer":4},{"info":"number node, value=5582","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=5582, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3070","layer":3},{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3070, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6140","layer":2},{"info":"number node, value=3214","layer":4},{"info":"number node, value=6600","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=6600, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9986","layer":3},{"info":"compute unary expreesion, input=9986, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6140, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=6140","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6140, 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":"(⪝⪂⫅(⫖↰⪸1488⩨⫖↰⪸863⊉≛↸⫖↰⪸A67⪘⫢⫖↰⪸97A))+⇶⊼(⫖↰⪸1554⨳⩥⨓⫖↰⪸3292⊉≛↸(⫖↰⪸1322⊘))⨟⋌⩍((⫖↰⪸1A3A⋷⫖↰⪸39A0)⊠≄⫣)=NaN","reverse_text":"NaN=(⪝⪂⫅(⫖↰⪸1488⩨⫖↰⪸863⊉≛↸⫖↰⪸A67⪘⫢⫖↰⪸97A))+⇶⊼(⫖↰⪸1554⨳⩥⨓⫖↰⪸3292⊉≛↸(⫖↰⪸1322⊘))⨟⋌⩍((⫖↰⪸1A3A⋷⫖↰⪸39A0)⊠≄⫣)","cot":[{"info":"⫖↰⪸1488⩨⫖↰⪸863=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A67⪘⫢⫖↰⪸97A=⫖↰⪸182A","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸182A=⫖↰⪸0","layer":2},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1554⨳⩥⨓⫖↰⪸3292=⫖↰⪸193A","layer":3},{"info":"⫖↰⪸1322⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸193A⊉≛↸⫖↰⪸0=⫖↰⪸3678","layer":2},{"info":"⫖↰⪸1A3A⋷⫖↰⪸39A0=⫖↰⪸5942","layer":3},{"info":"⫖↰⪸5942⊠≄⫣=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3678⨟⋌⩍⫖↰⪸0=⫖↰⪸3678","layer":1},{"info":"⫖↰⪸0+⇶⊼⫖↰⪸3678=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"($1040$≎⊠⪸$2368$⋥≓≎($4023$⊉≛↸$3985$))∑⇟⊟($7480$⇷$1240$)∀⇚≩$1007$⪛$3822$≦≮≮","expression":"(⫖↰⪸728≎⊠⪸⫖↰⪸1454⋥≓≎(⫖↰⪸23B3⊉≛↸⫖↰⪸2381))∑⇟⊟(⫖↰⪸43B4⇷⫖↰⪸874)∀⇚≩⫖↰⪸6BB⪛⫖↰⪸2266≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":122370,"operation_count":8,"complexity_ratio":15296.25,"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":1040,"base":12},"right_expr":{"type":"numeric_atoms","value":2368,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4023,"base":12},"right_expr":{"type":"numeric_atoms","value":3985,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7480,"base":12},"right_expr":{"type":"numeric_atoms","value":1240,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":3822,"base":12}}}}},"used_operators":["D4vGDi5EA2","U7g4x0WXJJ","Qy55tPpLXF","bJkvcejdHO","DZ8iAZOCBD","LRNGc0VcxI","mp7IySMOzn","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2368, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=268887","layer":3},{"info":"number node, value=4023","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=4023, right_input=3985, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8046","layer":3},{"info":"compute binary expreesion, left_input=268887, right_input=8046, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-252762","layer":2},{"info":"number node, value=7480","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=7480, right_input=1240, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2480","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=3822","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=3822, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1007","layer":3},{"info":"compute binary expreesion, left_input=2480, right_input=1007, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-252762, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸728≎⊠⪸⫖↰⪸1454⋥≓≎(⫖↰⪸23B3⊉≛↸⫖↰⪸2381))∑⇟⊟(⫖↰⪸43B4⇷⫖↰⪸874)∀⇚≩⫖↰⪸6BB⪛⫖↰⪸2266≦≮≮=NaN","reverse_text":"NaN=(⫖↰⪸728≎⊠⪸⫖↰⪸1454⋥≓≎(⫖↰⪸23B3⊉≛↸⫖↰⪸2381))∑⇟⊟(⫖↰⪸43B4⇷⫖↰⪸874)∀⇚≩⫖↰⪸6BB⪛⫖↰⪸2266≦≮≮","cot":[{"info":"⫖↰⪸728≎⊠⪸⫖↰⪸1454=⫖↰⪸10B733","layer":3},{"info":"⫖↰⪸23B3⊉≛↸⫖↰⪸2381=⫖↰⪸47A6","layer":3},{"info":"⫖↰⪸10B733⋥≓≎⫖↰⪸47A6=⫖↰⪸-102336","layer":2},{"info":"⫖↰⪸43B4⇷⫖↰⪸874=⫖↰⪸1528","layer":3},{"info":"⫖↰⪸6BB⪛⫖↰⪸2266=⫖↰⪸6BB","layer":3},{"info":"⫖↰⪸1528∀⇚≩⫖↰⪸6BB=NaN","layer":2},{"info":"⫖↰⪸-102336∑⇟⊟NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"(($6051$⊉≛↸$1545$)⊴($1449$⨪↰⇹$5595$)↙(↩$5591$⋳⪒$6031$))⩚⊴⇥($4363$+⇶⊼$2896$-($5369$⊭∹↮)⫡⨏(⩦⩻⨪$1111$⇷$3613$))","expression":"((⫖↰⪸3603⊉≛↸⫖↰⪸A89)⊴(⫖↰⪸A09⨪↰⇹⫖↰⪸32A3)↙(↩⫖↰⪸329B⋳⪒⫖↰⪸35A7))⩚⊴⇥(⫖↰⪸2637+⇶⊼⫖↰⪸1814-(⫖↰⪸3135⊭∹↮)⫡⨏(⩦⩻⨪⫖↰⪸787⇷⫖↰⪸2111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21150,"operation_count":13,"complexity_ratio":1626.923076923077,"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":6051,"base":12},"right_expr":{"type":"numeric_atoms","value":1545,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1449,"base":12},"right_expr":{"type":"numeric_atoms","value":5595,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5591,"base":12},"right_expr":{"type":"numeric_atoms","value":6031,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4363,"base":12},"right_expr":{"type":"numeric_atoms","value":2896,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5369,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1111,"base":12},"right_expr":{"type":"numeric_atoms","value":3613,"base":12}}}}},"used_operators":["NTOWxs364D","yyfyN0ffXY","Nsiff2A1zJ","DZ8iAZOCBD","tmPS8pqC7x","jLgFTUHLKL","12rbrZMWeM","QMFrweE19q","rysDP5nf3Z","TpPTUOHfaN","xNBdhnnwKq","2td37pGCOC","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6051","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=6051, right_input=1545, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12102","layer":3},{"info":"number node, value=1449","layer":4},{"info":"number node, value=5595","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=5595, 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=1449","layer":3},{"info":"compute binary expreesion, left_input=12102, right_input=1449, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5591","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=5591, right_input=6031, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4864","layer":3},{"info":"compute unary expreesion, input=4864, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-36132","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36132, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=4363","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=2896, 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=5369","layer":4},{"info":"compute unary expreesion, input=5369, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10738","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10738, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1111","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=3613, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7226","layer":3},{"info":"compute unary expreesion, input=7226, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7226","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7226, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3603⊉≛↸⫖↰⪸A89)⊴(⫖↰⪸A09⨪↰⇹⫖↰⪸32A3)↙(↩⫖↰⪸329B⋳⪒⫖↰⪸35A7))⩚⊴⇥(⫖↰⪸2637+⇶⊼⫖↰⪸1814-(⫖↰⪸3135⊭∹↮)⫡⨏(⩦⩻⨪⫖↰⪸787⇷⫖↰⪸2111))=NaN","reverse_text":"NaN=((⫖↰⪸3603⊉≛↸⫖↰⪸A89)⊴(⫖↰⪸A09⨪↰⇹⫖↰⪸32A3)↙(↩⫖↰⪸329B⋳⪒⫖↰⪸35A7))⩚⊴⇥(⫖↰⪸2637+⇶⊼⫖↰⪸1814-(⫖↰⪸3135⊭∹↮)⫡⨏(⩦⩻⨪⫖↰⪸787⇷⫖↰⪸2111))","cot":[{"info":"⫖↰⪸3603⊉≛↸⫖↰⪸A89=⫖↰⪸7006","layer":3},{"info":"⫖↰⪸A09⨪↰⇹⫖↰⪸32A3=⫖↰⪸A09","layer":3},{"info":"⫖↰⪸7006⊴⫖↰⪸A09=NaN","layer":2},{"info":"⫖↰⪸329B⋳⪒⫖↰⪸35A7=⫖↰⪸2994","layer":3},{"info":"↩⫖↰⪸2994=⫖↰⪸-18AB0","layer":2},{"info":"NaN↙⫖↰⪸-18AB0=NaN","layer":1},{"info":"⫖↰⪸2637+⇶⊼⫖↰⪸1814=NaN","layer":3},{"info":"⫖↰⪸3135⊭∹↮=⫖↰⪸626A","layer":3},{"info":"NaN-⫖↰⪸626A=NaN","layer":2},{"info":"⫖↰⪸787⇷⫖↰⪸2111=⫖↰⪸4222","layer":3},{"info":"⩦⩻⨪⫖↰⪸4222=⫖↰⪸4222","layer":2},{"info":"NaN⫡⨏⫖↰⪸4222=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"≤/((⊙↵-$1142$)⩚⊴⇥(⊥$1716$))⨰(($1000$⫥∨⫟$4072$)⩷∴($6502$-$4372$))","expression":"≤/((⊙↵-⫖↰⪸7B2)⩚⊴⇥(⊥⫖↰⪸BB0))⨰((⫖↰⪸6B4⫥∨⫟⫖↰⪸2434)⩷∴(⫖↰⪸391A-⫖↰⪸2644))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1360,"operation_count":8,"complexity_ratio":170.0,"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":1142,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1716,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":4072,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6502,"base":12},"right_expr":{"type":"numeric_atoms","value":4372,"base":12}}}}},"used_operators":["eLAdDNolq6","eewbuw0ToL","NTOWxs364D","oWn0xqSxBt","Q3PJZHRvZv","9FxExcQeMw","KYD54nUTWz","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1716","layer":4},{"info":"compute unary expreesion, input=1716, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=4072, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6502","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=6502, right_input=4372, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2130, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/((⊙↵-⫖↰⪸7B2)⩚⊴⇥(⊥⫖↰⪸BB0))⨰((⫖↰⪸6B4⫥∨⫟⫖↰⪸2434)⩷∴(⫖↰⪸391A-⫖↰⪸2644))=NaN","reverse_text":"NaN=≤/((⊙↵-⫖↰⪸7B2)⩚⊴⇥(⊥⫖↰⪸BB0))⨰((⫖↰⪸6B4⫥∨⫟⫖↰⪸2434)⩷∴(⫖↰⪸391A-⫖↰⪸2644))","cot":[{"info":"⊙↵-⫖↰⪸7B2=⫖↰⪸-1","layer":3},{"info":"⊥⫖↰⪸BB0=NaN","layer":3},{"info":"⫖↰⪸-1⩚⊴⇥NaN=NaN","layer":2},{"info":"⫖↰⪸6B4⫥∨⫟⫖↰⪸2434=NaN","layer":3},{"info":"⫖↰⪸391A-⫖↰⪸2644=⫖↰⪸1296","layer":3},{"info":"NaN⩷∴⫖↰⪸1296=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"(($3406$⨵⪆$2334$)⋳⪒($1038$/$2952$)≋⫹)⩤","expression":"((⫖↰⪸1B7A⨵⪆⫖↰⪸1426)⋳⪒(⫖↰⪸726/⫖↰⪸1860)≋⫹)⩤","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":13,"operation_count":5,"complexity_ratio":2.6,"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":3406,"base":12},"right_expr":{"type":"numeric_atoms","value":2334,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1038,"base":12},"right_expr":{"type":"numeric_atoms","value":2952,"base":12}}}}},"used_operators":["Z2TMIBDE3Q","N41Kp7NANJ","12rbrZMWeM","2DQ55sFlQl","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸56","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3406","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=2334, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=2952, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=33","layer":2},{"info":"compute unary expreesion, input=33, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-66","layer":1},{"info":"compute unary expreesion, input=-66, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=66","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B7A⨵⪆⫖↰⪸1426)⋳⪒(⫖↰⪸726/⫖↰⪸1860)≋⫹)⩤=⫖↰⪸56","reverse_text":"⫖↰⪸56=((⫖↰⪸1B7A⨵⪆⫖↰⪸1426)⋳⪒(⫖↰⪸726/⫖↰⪸1860)≋⫹)⩤","cot":[{"info":"⫖↰⪸1B7A⨵⪆⫖↰⪸1426=⫖↰⪸114","layer":3},{"info":"⫖↰⪸726/⫖↰⪸1860=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⋳⪒⫖↰⪸0=⫖↰⪸29","layer":2},{"info":"⫖↰⪸29≋⫹=⫖↰⪸-56","layer":1},{"info":"⫖↰⪸-56⩤=⫖↰⪸56","layer":0}]}
{"id":856,"expression_no_base_symbol":"($1989$∀⇚≩$5182$⊭∹↮)≹⇙⪍($8442$≎⊠⪸$3357$≣⋋)⊉≛↸($4096$⋝⋈⪟$1068$≎⊠⪸($3331$⊠≄⫣)⪒($1822$↛⩡⫤)⨸⪁$3242$⪄$1543$)","expression":"(⫖↰⪸1199∀⇚≩⫖↰⪸2BBA⊭∹↮)≹⇙⪍(⫖↰⪸4A76≎⊠⪸⫖↰⪸1B39≣⋋)⊉≛↸(⫖↰⪸2454⋝⋈⪟⫖↰⪸750≎⊠⪸(⫖↰⪸1B17⊠≄⫣)⪒(⫖↰⪸107A↛⩡⫤)⨸⪁⫖↰⪸1A62⪄⫖↰⪸A87)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20693,"operation_count":13,"complexity_ratio":1591.7692307692307,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1989,"base":12},"right_expr":{"type":"numeric_atoms","value":5182,"base":12}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8442,"base":12},"right_expr":{"type":"numeric_atoms","value":3357,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4096,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3331,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1822,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3242,"base":12},"right_expr":{"type":"numeric_atoms","value":1543,"base":12}}}}},"used_operators":["DZ8iAZOCBD","AHs5Up7iyr","xNBdhnnwKq","LRNGc0VcxI","Tcnh7f0tEr","bJkvcejdHO","f6k1SAg4EE","2DDjHMKMc0","DIvbN7qnHd","g55IO6H4Gj","FU0Cs4j7VP","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","X99M06cbEe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=5182, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"number node, value=8442","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=8442, right_input=3357, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2186005","layer":3},{"info":"compute unary expreesion, input=2186005, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4096","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=1068, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4096","layer":3},{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4096, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1060391","layer":2},{"info":"number node, value=1822","layer":4},{"info":"compute unary expreesion, input=1822, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-271211","layer":3},{"info":"number node, value=3242","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=1543, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-482077","layer":3},{"info":"compute binary expreesion, left_input=-271211, right_input=-482077, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1506576","layer":2},{"info":"compute binary expreesion, left_input=1060391, right_input=-1506576, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=446185","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=446185, 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":"(⫖↰⪸1199∀⇚≩⫖↰⪸2BBA⊭∹↮)≹⇙⪍(⫖↰⪸4A76≎⊠⪸⫖↰⪸1B39≣⋋)⊉≛↸(⫖↰⪸2454⋝⋈⪟⫖↰⪸750≎⊠⪸(⫖↰⪸1B17⊠≄⫣)⪒(⫖↰⪸107A↛⩡⫤)⨸⪁⫖↰⪸1A62⪄⫖↰⪸A87)=NaN","reverse_text":"NaN=(⫖↰⪸1199∀⇚≩⫖↰⪸2BBA⊭∹↮)≹⇙⪍(⫖↰⪸4A76≎⊠⪸⫖↰⪸1B39≣⋋)⊉≛↸(⫖↰⪸2454⋝⋈⪟⫖↰⪸750≎⊠⪸(⫖↰⪸1B17⊠≄⫣)⪒(⫖↰⪸107A↛⩡⫤)⨸⪁⫖↰⪸1A62⪄⫖↰⪸A87)","cot":[{"info":"⫖↰⪸1199∀⇚≩⫖↰⪸2BBA=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⫖↰⪸4A76≎⊠⪸⫖↰⪸1B39=⫖↰⪸895071","layer":3},{"info":"⫖↰⪸895071≣⋋=⫖↰⪸0","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2454⋝⋈⪟⫖↰⪸750=⫖↰⪸2454","layer":3},{"info":"⫖↰⪸1B17⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2454≎⊠⪸⫖↰⪸0=⫖↰⪸43179B","layer":2},{"info":"⫖↰⪸107A↛⩡⫤=⫖↰⪸-110B4B","layer":3},{"info":"⫖↰⪸1A62⪄⫖↰⪸A87=⫖↰⪸-1B2B91","layer":3},{"info":"⫖↰⪸-110B4B⨸⪁⫖↰⪸-1B2B91=⫖↰⪸-607A40","layer":2},{"info":"⫖↰⪸43179B⪒⫖↰⪸-607A40=⫖↰⪸196261","layer":1},{"info":"NaN⊉≛↸⫖↰⪸196261=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(($1244$+⇶⊼$1690$⫡⨏$6692$≧⫂∧$1121$)≦≮≮)⨪↰⇹(⫛⫱⨽(($2397$≋⫹)∀⇚≩$3522$⨪↰⇹$3346$))","expression":"((⫖↰⪸878+⇶⊼⫖↰⪸B8A⫡⨏⫖↰⪸3A58≧⫂∧⫖↰⪸795)≦≮≮)⨪↰⇹(⫛⫱⨽((⫖↰⪸1479≋⫹)∀⇚≩⫖↰⪸2056⨪↰⇹⫖↰⪸1B2A))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38008,"operation_count":9,"complexity_ratio":4223.111111111111,"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":1244,"base":12},"right_expr":{"type":"numeric_atoms","value":1690,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6692,"base":12},"right_expr":{"type":"numeric_atoms","value":1121,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2397,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3522,"base":12},"right_expr":{"type":"numeric_atoms","value":3346,"base":12}}}}},"used_operators":["tmPS8pqC7x","D4vGDi5EA2","QMFrweE19q","TpPTUOHfaN","Ph9nP6C5qx","DlLNRPXxWL","LRNGc0VcxI","N41Kp7NANJ"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1690, 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=6692","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=6692, right_input=1121, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=648","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=648, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=2397","layer":4},{"info":"compute unary expreesion, input=2397, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4794","layer":3},{"info":"number node, value=3522","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=3522, right_input=3346, 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=3522","layer":3},{"info":"compute binary expreesion, left_input=-4794, right_input=3522, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸878+⇶⊼⫖↰⪸B8A⫡⨏⫖↰⪸3A58≧⫂∧⫖↰⪸795)≦≮≮)⨪↰⇹(⫛⫱⨽((⫖↰⪸1479≋⫹)∀⇚≩⫖↰⪸2056⨪↰⇹⫖↰⪸1B2A))=NaN","reverse_text":"NaN=((⫖↰⪸878+⇶⊼⫖↰⪸B8A⫡⨏⫖↰⪸3A58≧⫂∧⫖↰⪸795)≦≮≮)⨪↰⇹(⫛⫱⨽((⫖↰⪸1479≋⫹)∀⇚≩⫖↰⪸2056⨪↰⇹⫖↰⪸1B2A))","cot":[{"info":"⫖↰⪸878+⇶⊼⫖↰⪸B8A=NaN","layer":3},{"info":"⫖↰⪸3A58≧⫂∧⫖↰⪸795=⫖↰⪸460","layer":3},{"info":"NaN⫡⨏⫖↰⪸460=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⫖↰⪸1479≋⫹=⫖↰⪸-2936","layer":3},{"info":"⫖↰⪸2056⨪↰⇹⫖↰⪸1B2A=⫖↰⪸2056","layer":3},{"info":"⫖↰⪸-2936∀⇚≩⫖↰⪸2056=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"((($4998$⊠≄⫣)⫡⨏($2804$⪨≂$5901$))-(⫓⪴($2423$⫥∨⫟$9223$)))⨟⋌⩍(($5696$≧⫂∧$2401$⨎$1628$∑⇟⊟$4387$)⊪)","expression":"(((⫖↰⪸2A86⊠≄⫣)⫡⨏(⫖↰⪸1758⪨≂⫖↰⪸34B9))-(⫓⪴(⫖↰⪸149B⫥∨⫟⫖↰⪸5407)))⨟⋌⩍((⫖↰⪸3368≧⫂∧⫖↰⪸1481⨎⫖↰⪸B38∑⇟⊟⫖↰⪸2657)⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":188,"operation_count":11,"complexity_ratio":17.09090909090909,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4998,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2804,"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":2423,"base":12},"right_expr":{"type":"numeric_atoms","value":9223,"base":12}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5696,"base":12},"right_expr":{"type":"numeric_atoms","value":2401,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1628,"base":12},"right_expr":{"type":"numeric_atoms","value":4387,"base":12}}}}},"used_operators":["rGHVDoGpnC","rysDP5nf3Z","QMFrweE19q","DIvbN7qnHd","sdazOOVcIp","eLxqMNBOBk","KYD54nUTWz","zVYPLywUTj","rJVOvQCfKK","Ph9nP6C5qx","U7g4x0WXJJ"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4998","layer":4},{"info":"compute unary expreesion, input=4998, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=5901","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=5901, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6092","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6092, 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=-11401","layer":2},{"info":"number node, value=2423","layer":4},{"info":"number node, value=9223","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=9223, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"compute binary expreesion, left_input=-11401, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5696","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=5696, right_input=2401, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1928","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=4387","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=4387, 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=1928, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(((⫖↰⪸2A86⊠≄⫣)⫡⨏(⫖↰⪸1758⪨≂⫖↰⪸34B9))-(⫓⪴(⫖↰⪸149B⫥∨⫟⫖↰⪸5407)))⨟⋌⩍((⫖↰⪸3368≧⫂∧⫖↰⪸1481⨎⫖↰⪸B38∑⇟⊟⫖↰⪸2657)⊪)=NaN","reverse_text":"NaN=(((⫖↰⪸2A86⊠≄⫣)⫡⨏(⫖↰⪸1758⪨≂⫖↰⪸34B9))-(⫓⪴(⫖↰⪸149B⫥∨⫟⫖↰⪸5407)))⨟⋌⩍((⫖↰⪸3368≧⫂∧⫖↰⪸1481⨎⫖↰⪸B38∑⇟⊟⫖↰⪸2657)⊪)","cot":[{"info":"⫖↰⪸2A86⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1758⪨≂⫖↰⪸34B9=⫖↰⪸-3638","layer":3},{"info":"⫖↰⪸0⫡⨏⫖↰⪸-3638=⫖↰⪸-6721","layer":2},{"info":"⫖↰⪸149B⫥∨⫟⫖↰⪸5407=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫖↰⪸-6721-NaN=NaN","layer":1},{"info":"⫖↰⪸3368≧⫂∧⫖↰⪸1481=⫖↰⪸1148","layer":3},{"info":"⫖↰⪸B38∑⇟⊟⫖↰⪸2657=NaN","layer":3},{"info":"⫖↰⪸1148⨎NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"($2936$⨎$2124$⪄$5351$⪘⫢$1299$)∼((⇁⨣⪵$3575$)⨓($1504$⊭↱$2357$))⨁⊸⫻","expression":"(⫖↰⪸1848⨎⫖↰⪸1290⪄⫖↰⪸311B⪘⫢⫖↰⪸903)∼((⇁⨣⪵⫖↰⪸209B)⨓(⫖↰⪸A54⊭↱⫖↰⪸1445))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8754,"operation_count":8,"complexity_ratio":1094.25,"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":2936,"base":12},"right_expr":{"type":"numeric_atoms","value":2124,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5351,"base":12},"right_expr":{"type":"numeric_atoms","value":1299,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3575,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":2357,"base":12}}}}},"used_operators":["glklzrTFfD","DyGG3AbaNP","SUmda5xLS4","rJVOvQCfKK","oacrs7FA3X","3ViojmjbAp","inkyxCbjAn","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2936","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=2124, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2124","layer":3},{"info":"number node, value=5351","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=5351, right_input=1299, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10578","layer":3},{"info":"compute binary expreesion, left_input=2124, right_input=10578, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-352753","layer":2},{"info":"number node, value=3575","layer":4},{"info":"compute unary expreesion, input=3575, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=2357, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1711","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1711, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1714","layer":2},{"info":"compute binary expreesion, left_input=-352753, right_input=-1714, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1848⨎⫖↰⪸1290⪄⫖↰⪸311B⪘⫢⫖↰⪸903)∼((⇁⨣⪵⫖↰⪸209B)⨓(⫖↰⪸A54⊭↱⫖↰⪸1445))⨁⊸⫻=NaN","reverse_text":"NaN=(⫖↰⪸1848⨎⫖↰⪸1290⪄⫖↰⪸311B⪘⫢⫖↰⪸903)∼((⇁⨣⪵⫖↰⪸209B)⨓(⫖↰⪸A54⊭↱⫖↰⪸1445))⨁⊸⫻","cot":[{"info":"⫖↰⪸1848⨎⫖↰⪸1290=⫖↰⪸1290","layer":3},{"info":"⫖↰⪸311B⪘⫢⫖↰⪸903=⫖↰⪸6156","layer":3},{"info":"⫖↰⪸1290⪄⫖↰⪸6156=⫖↰⪸-150181","layer":2},{"info":"⇁⨣⪵⫖↰⪸209B=NaN","layer":3},{"info":"⫖↰⪸A54⊭↱⫖↰⪸1445=⫖↰⪸BA7","layer":3},{"info":"NaN⨓⫖↰⪸BA7=⫖↰⪸-BAA","layer":2},{"info":"⫖↰⪸-150181∼⫖↰⪸-BAA=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"(⊙↵-($3875$⪮%⊝$1013$⋓$1027$⇷$1776$))⇷($3698$⨰$1839$⨳⩥⨓($3261$⨸⪁$8060$))≹⇙⪍($5968$⨓$1167$↙($1854$⨵⪆$1345$))","expression":"(⊙↵-(⫖↰⪸22AB⪮%⊝⫖↰⪸705⋓⫖↰⪸717⇷⫖↰⪸1040))⇷(⫖↰⪸2182⨰⫖↰⪸1093⨳⩥⨓(⫖↰⪸1A79⨸⪁⫖↰⪸47B8))≹⇙⪍(⫖↰⪸3554⨓⫖↰⪸813↙(⫖↰⪸10A6⨵⪆⫖↰⪸941))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15628,"operation_count":12,"complexity_ratio":1302.3333333333333,"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":3875,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1027,"base":12},"right_expr":{"type":"numeric_atoms","value":1776,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3698,"base":12},"right_expr":{"type":"numeric_atoms","value":1839,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3261,"base":12},"right_expr":{"type":"numeric_atoms","value":8060,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5968,"base":12},"right_expr":{"type":"numeric_atoms","value":1167,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1854,"base":12},"right_expr":{"type":"numeric_atoms","value":1345,"base":12}}}}},"used_operators":["mp7IySMOzn","oWn0xqSxBt","T2fj7uvVaJ","IWmyXbctLI","AHs5Up7iyr","nCS4ZIUYfx","eewbuw0ToL","g55IO6H4Gj","yyfyN0ffXY","3ViojmjbAp","2DQ55sFlQl"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3875","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=3875, right_input=1013, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8066","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1776, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3552","layer":3},{"info":"compute binary expreesion, left_input=8066, right_input=3552, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=3698","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=3698, right_input=1839, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1869","layer":3},{"info":"number node, value=3261","layer":4},{"info":"number node, value=8060","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=8060, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22642","layer":3},{"info":"compute binary expreesion, left_input=1869, right_input=22642, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=20773","layer":2},{"info":"number node, value=5968","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=5968, right_input=1167, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1170","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1345, 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=-1170, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1170","layer":2},{"info":"compute binary expreesion, left_input=20773, right_input=-1170, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"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":0}],"base":12,"result_base":12,"text":"(⊙↵-(⫖↰⪸22AB⪮%⊝⫖↰⪸705⋓⫖↰⪸717⇷⫖↰⪸1040))⇷(⫖↰⪸2182⨰⫖↰⪸1093⨳⩥⨓(⫖↰⪸1A79⨸⪁⫖↰⪸47B8))≹⇙⪍(⫖↰⪸3554⨓⫖↰⪸813↙(⫖↰⪸10A6⨵⪆⫖↰⪸941))=NaN","reverse_text":"NaN=(⊙↵-(⫖↰⪸22AB⪮%⊝⫖↰⪸705⋓⫖↰⪸717⇷⫖↰⪸1040))⇷(⫖↰⪸2182⨰⫖↰⪸1093⨳⩥⨓(⫖↰⪸1A79⨸⪁⫖↰⪸47B8))≹⇙⪍(⫖↰⪸3554⨓⫖↰⪸813↙(⫖↰⪸10A6⨵⪆⫖↰⪸941))","cot":[{"info":"⫖↰⪸22AB⪮%⊝⫖↰⪸705=⫖↰⪸4802","layer":3},{"info":"⫖↰⪸717⇷⫖↰⪸1040=⫖↰⪸2080","layer":3},{"info":"⫖↰⪸4802⋓⫖↰⪸2080=⫖↰⪸0","layer":2},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2182⨰⫖↰⪸1093=⫖↰⪸10B9","layer":3},{"info":"⫖↰⪸1A79⨸⪁⫖↰⪸47B8=⫖↰⪸1112A","layer":3},{"info":"⫖↰⪸10B9⨳⩥⨓⫖↰⪸1112A=⫖↰⪸10031","layer":2},{"info":"⫖↰⪸3554⨓⫖↰⪸813=⫖↰⪸-816","layer":3},{"info":"⫖↰⪸10A6⨵⪆⫖↰⪸941=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-816↙⫖↰⪸114=⫖↰⪸-816","layer":2},{"info":"⫖↰⪸10031≹⇙⪍⫖↰⪸-816=NaN","layer":1},{"info":"⫖↰⪸0⇷NaN=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"(∥⊫$5176$⊴$1162$)⨓($5139$∲⫓$2808$+$1670$⫸⊐$1406$)+⇶⊼(↯⪼($3923$⇷$7524$))⋓(($2726$⪨≂$1824$)⋫)","expression":"(∥⊫⫖↰⪸2BB4⊴⫖↰⪸80A)⨓(⫖↰⪸2B83∲⫓⫖↰⪸1760+⫖↰⪸B72⫸⊐⫖↰⪸992)+⇶⊼(↯⪼(⫖↰⪸232B⇷⫖↰⪸4430))⋓((⫖↰⪸16B2⪨≂⫖↰⪸1080)⋫)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65088,"operation_count":12,"complexity_ratio":5424.0,"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":5176,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5139,"base":12},"right_expr":{"type":"numeric_atoms","value":2808,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1670,"base":12},"right_expr":{"type":"numeric_atoms","value":1406,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3923,"base":12},"right_expr":{"type":"numeric_atoms","value":7524,"base":12}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2726,"base":12},"right_expr":{"type":"numeric_atoms","value":1824,"base":12}}}}},"used_operators":["TpPTUOHfaN","3ViojmjbAp","P8v4zCKN1o","Nsiff2A1zJ","W4YGzv6Whe","i8ToyICDmI","mqXw5SEYmG","T2fj7uvVaJ","8jW3W4yZS5","mp7IySMOzn","JL8yIekQnl","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5176","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=5176, right_input=1162, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=5139","layer":4},{"info":"number node, value=2808","layer":4},{"info":"compute binary expreesion, left_input=5139, right_input=2808, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1406, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5499","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5499, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5499","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5499, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5502","layer":1},{"info":"number node, value=3923","layer":4},{"info":"number node, value=7524","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=7524, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15048","layer":3},{"info":"compute unary expreesion, input=15048, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2726","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=1824, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1906","layer":3},{"info":"compute unary expreesion, input=1906, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1906","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=1906, 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=-5502, 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":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸2BB4⊴⫖↰⪸80A)⨓(⫖↰⪸2B83∲⫓⫖↰⪸1760+⫖↰⪸B72⫸⊐⫖↰⪸992)+⇶⊼(↯⪼(⫖↰⪸232B⇷⫖↰⪸4430))⋓((⫖↰⪸16B2⪨≂⫖↰⪸1080)⋫)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(∥⊫⫖↰⪸2BB4⊴⫖↰⪸80A)⨓(⫖↰⪸2B83∲⫓⫖↰⪸1760+⫖↰⪸B72⫸⊐⫖↰⪸992)+⇶⊼(↯⪼(⫖↰⪸232B⇷⫖↰⪸4430))⋓((⫖↰⪸16B2⪨≂⫖↰⪸1080)⋫)","cot":[{"info":"⫖↰⪸2BB4⊴⫖↰⪸80A=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫖↰⪸2B83∲⫓⫖↰⪸1760=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B72⫸⊐⫖↰⪸992=⫖↰⪸3223","layer":3},{"info":"⫖↰⪸0+⫖↰⪸3223=⫖↰⪸3223","layer":2},{"info":"NaN⨓⫖↰⪸3223=⫖↰⪸-3226","layer":1},{"info":"⫖↰⪸232B⇷⫖↰⪸4430=⫖↰⪸8860","layer":3},{"info":"↯⪼⫖↰⪸8860=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸16B2⪨≂⫖↰⪸1080=⫖↰⪸112A","layer":3},{"info":"⫖↰⪸112A⋫=⫖↰⪸112A","layer":2},{"info":"⫖↰⪸-19⋓⫖↰⪸112A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-3226+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":862,"expression_no_base_symbol":"((⨵≀≌$2992$↙$2318$)↬($6026$∧)∼$2069$⊴$1218$)∀⇚≩(($3598$⇼⇔∾$5944$)⨎($2023$⪨≂$1816$)⫥∨⫟(↽≂($1173$↪⪝)))","expression":"((⨵≀≌⫖↰⪸1894↙⫖↰⪸1412)↬(⫖↰⪸35A2∧)∼⫖↰⪸1245⊴⫖↰⪸856)∀⇚≩((⫖↰⪸20BA⇼⇔∾⫖↰⪸3534)⨎(⫖↰⪸1207⪨≂⫖↰⪸1074)⫥∨⫟(↽≂(⫖↰⪸819↪⪝)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13603,"operation_count":13,"complexity_ratio":1046.3846153846155,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2992,"base":12},"right_expr":{"type":"numeric_atoms","value":2318,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6026,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2069,"base":12},"right_expr":{"type":"numeric_atoms","value":1218,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3598,"base":12},"right_expr":{"type":"numeric_atoms","value":5944,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2023,"base":12},"right_expr":{"type":"numeric_atoms","value":1816,"base":12}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1173,"base":12}}}}},"used_operators":["LRNGc0VcxI","B5M0gjZbta","srAu1WTS94","yyfyN0ffXY","DyGG3AbaNP","z63VuFQld9","Nsiff2A1zJ","KYD54nUTWz","rJVOvQCfKK","tifHPKVTfV","sdazOOVcIp","u6S6b8DprG","l07mrZUIn9"],"dependent_operators":["X99M06cbEe","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2992","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=2318, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , 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=6026","layer":4},{"info":"compute unary expreesion, input=6026, 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=2069","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=2069, right_input=1218, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=48358116, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3598","layer":4},{"info":"number node, value=5944","layer":4},{"info":"compute binary expreesion, left_input=3598, right_input=5944, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2346","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=1816, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=516","layer":3},{"info":"compute binary expreesion, left_input=2346, right_input=516, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=516","layer":2},{"info":"number node, value=1173","layer":4},{"info":"compute unary expreesion, input=1173, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=71766486","layer":3},{"info":"compute unary expreesion, input=71766486, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-143532972","layer":2},{"info":"compute binary expreesion, left_input=516, right_input=-143532972, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"((⨵≀≌⫖↰⪸1894↙⫖↰⪸1412)↬(⫖↰⪸35A2∧)∼⫖↰⪸1245⊴⫖↰⪸856)∀⇚≩((⫖↰⪸20BA⇼⇔∾⫖↰⪸3534)⨎(⫖↰⪸1207⪨≂⫖↰⪸1074)⫥∨⫟(↽≂(⫖↰⪸819↪⪝)))=NaN","reverse_text":"NaN=((⨵≀≌⫖↰⪸1894↙⫖↰⪸1412)↬(⫖↰⪸35A2∧)∼⫖↰⪸1245⊴⫖↰⪸856)∀⇚≩((⫖↰⪸20BA⇼⇔∾⫖↰⪸3534)⨎(⫖↰⪸1207⪨≂⫖↰⪸1074)⫥∨⫟(↽≂(⫖↰⪸819↪⪝)))","cot":[{"info":"⫖↰⪸1894↙⫖↰⪸1412=⫖↰⪸-4036","layer":3},{"info":"⨵≀≌⫖↰⪸-4036=⫖↰⪸14241030","layer":2},{"info":"⫖↰⪸35A2∧=NaN","layer":3},{"info":"⫖↰⪸1245⊴⫖↰⪸856=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⫖↰⪸14241030↬NaN=NaN","layer":1},{"info":"⫖↰⪸20BA⇼⇔∾⫖↰⪸3534=⫖↰⪸1436","layer":3},{"info":"⫖↰⪸1207⪨≂⫖↰⪸1074=⫖↰⪸370","layer":3},{"info":"⫖↰⪸1436⨎⫖↰⪸370=⫖↰⪸370","layer":2},{"info":"⫖↰⪸819↪⪝=⫖↰⪸2004B646","layer":3},{"info":"↽≂⫖↰⪸2004B646=⫖↰⪸-4009B090","layer":2},{"info":"⫖↰⪸370⫥∨⫟⫖↰⪸-4009B090=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"($2319$⋓$1606$⪒$1560$⫸⊐$1765$)∼(($1340$/$3934$)⩤)↺($1037$⫸⊐$2121$*($6917$∲⫓$4083$))⨟⋌⩍(⫓⪴$1402$⇷$2126$)","expression":"(⫖↰⪸1413⋓⫖↰⪸B1A⪒⫖↰⪸AA0⫸⊐⫖↰⪸1031)∼((⫖↰⪸938/⫖↰⪸233A)⩤)↺(⫖↰⪸725⫸⊐⫖↰⪸1289*(⫖↰⪸4005∲⫓⫖↰⪸2443))⨟⋌⩍(⫓⪴⫖↰⪸98A⇷⫖↰⪸1292)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24114,"operation_count":13,"complexity_ratio":1854.923076923077,"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":2319,"base":12},"right_expr":{"type":"numeric_atoms","value":1606,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1560,"base":12},"right_expr":{"type":"numeric_atoms","value":1765,"base":12}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1340,"base":12},"right_expr":{"type":"numeric_atoms","value":3934,"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":2121,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6917,"base":12},"right_expr":{"type":"numeric_atoms","value":4083,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1402,"base":12},"right_expr":{"type":"numeric_atoms","value":2126,"base":12}}}}},"used_operators":["7j4O788W3g","DyGG3AbaNP","f6k1SAg4EE","T2fj7uvVaJ","mqXw5SEYmG","Z2TMIBDE3Q","XhwjNDsVaA","rGHVDoGpnC","9HNa5Wba9A","i8ToyICDmI","eLxqMNBOBk","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2319","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=1606, 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=1560","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=1765, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6935","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6935, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6935","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=3934, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-6935, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2121, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8359","layer":3},{"info":"number node, value=6917","layer":4},{"info":"number node, value=4083","layer":4},{"info":"compute binary expreesion, left_input=6917, right_input=4083, 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=8359, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1402","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=2126, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4252","layer":3},{"info":"compute unary expreesion, input=4252, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18079504","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18079504, 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=20, 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":"(⫖↰⪸1413⋓⫖↰⪸B1A⪒⫖↰⪸AA0⫸⊐⫖↰⪸1031)∼((⫖↰⪸938/⫖↰⪸233A)⩤)↺(⫖↰⪸725⫸⊐⫖↰⪸1289*(⫖↰⪸4005∲⫓⫖↰⪸2443))⨟⋌⩍(⫓⪴⫖↰⪸98A⇷⫖↰⪸1292)=NaN","reverse_text":"NaN=(⫖↰⪸1413⋓⫖↰⪸B1A⪒⫖↰⪸AA0⫸⊐⫖↰⪸1031)∼((⫖↰⪸938/⫖↰⪸233A)⩤)↺(⫖↰⪸725⫸⊐⫖↰⪸1289*(⫖↰⪸4005∲⫓⫖↰⪸2443))⨟⋌⩍(⫓⪴⫖↰⪸98A⇷⫖↰⪸1292)","cot":[{"info":"⫖↰⪸1413⋓⫖↰⪸B1A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸AA0⫸⊐⫖↰⪸1031=⫖↰⪸401B","layer":3},{"info":"⫖↰⪸0⪒⫖↰⪸401B=⫖↰⪸-401B","layer":2},{"info":"⫖↰⪸938/⫖↰⪸233A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩤=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-401B∼⫖↰⪸0=⫖↰⪸18","layer":1},{"info":"⫖↰⪸725⫸⊐⫖↰⪸1289=⫖↰⪸4A07","layer":3},{"info":"⫖↰⪸4005∲⫓⫖↰⪸2443=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4A07*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸98A⇷⫖↰⪸1292=⫖↰⪸2564","layer":3},{"info":"⫓⪴⫖↰⪸2564=⫖↰⪸607A814","layer":2},{"info":"⫖↰⪸0⨟⋌⩍⫖↰⪸607A814=NaN","layer":1},{"info":"⫖↰⪸18↺NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"(≉((≦∁$1254$)⪒$1416$↺$2128$))↪⪝","expression":"(≉((≦∁⫖↰⪸886)⪒⫖↰⪸9A0↺⫖↰⪸1294))↪⪝","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":707,"operation_count":5,"complexity_ratio":141.4,"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":1254,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":2128,"base":12}}}}},"used_operators":["l07mrZUIn9","e1ybzncUwg","f6k1SAg4EE","9ICcGScMcE","7j4O788W3g"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-59367B30","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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1254","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=2128, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2128","layer":3},{"info":"compute binary expreesion, left_input=1254, right_input=2128, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3382","layer":2},{"info":"compute unary expreesion, input=-3382, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-3382","layer":1},{"info":"compute unary expreesion, input=-3382, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-206917524","layer":0}],"base":12,"result_base":12,"text":"(≉((≦∁⫖↰⪸886)⪒⫖↰⪸9A0↺⫖↰⪸1294))↪⪝=⫖↰⪸-59367B30","reverse_text":"⫖↰⪸-59367B30=(≉((≦∁⫖↰⪸886)⪒⫖↰⪸9A0↺⫖↰⪸1294))↪⪝","cot":[{"info":"≦∁⫖↰⪸886=⫖↰⪸886","layer":3},{"info":"⫖↰⪸9A0↺⫖↰⪸1294=⫖↰⪸1294","layer":3},{"info":"⫖↰⪸886⪒⫖↰⪸1294=⫖↰⪸-1B5A","layer":2},{"info":"≉⫖↰⪸-1B5A=⫖↰⪸-1B5A","layer":1},{"info":"⫖↰⪸-1B5A↪⪝=⫖↰⪸-59367B30","layer":0}]}
{"id":865,"expression_no_base_symbol":"($2041$/$1407$)⪢(⨞⊢$1456$)⨓(⇁⨣⪵$1099$⋥≓≎$4023$)⊪","expression":"(⫖↰⪸1221/⫖↰⪸993)⪢(⨞⊢⫖↰⪸A14)⨓(⇁⨣⪵⫖↰⪸777⋥≓≎⫖↰⪸23B3)⊪","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1658,"operation_count":7,"complexity_ratio":236.85714285714286,"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":2041,"base":12},"right_expr":{"type":"numeric_atoms","value":1407,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1456,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1099,"base":12},"right_expr":{"type":"numeric_atoms","value":4023,"base":12}}}}},"used_operators":["zVYPLywUTj","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","xUOZtlo3hN","inkyxCbjAn","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1407, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1630","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-1630, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1099","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=4023, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6980","layer":3},{"info":"compute unary expreesion, input=6980, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1221/⫖↰⪸993)⪢(⨞⊢⫖↰⪸A14)⨓(⇁⨣⪵⫖↰⪸777⋥≓≎⫖↰⪸23B3)⊪=NaN","reverse_text":"NaN=(⫖↰⪸1221/⫖↰⪸993)⪢(⨞⊢⫖↰⪸A14)⨓(⇁⨣⪵⫖↰⪸777⋥≓≎⫖↰⪸23B3)⊪","cot":[{"info":"⫖↰⪸1221/⫖↰⪸993=⫖↰⪸1","layer":3},{"info":"⨞⊢⫖↰⪸A14=⫖↰⪸-B3A","layer":3},{"info":"⫖↰⪸1⪢⫖↰⪸-B3A=NaN","layer":2},{"info":"⫖↰⪸777⋥≓≎⫖↰⪸23B3=⫖↰⪸4058","layer":3},{"info":"⇁⨣⪵⫖↰⪸4058=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"(($5395$⋓$1241$)⪘⫢$1974$≹⇙⪍$7365$∲⫓(($3253$⪨≂$1936$)⫌⩹⨱))⫸⊐($2981$↺$1320$↙$4078$⨟⋌⩍$6016$⇼⇔∾($4621$⨎$1936$⊘))","expression":"((⫖↰⪸3157⋓⫖↰⪸875)⪘⫢⫖↰⪸1186≹⇙⪍⫖↰⪸4319∲⫓((⫖↰⪸1A71⪨≂⫖↰⪸1154)⫌⩹⨱))⫸⊐(⫖↰⪸1885↺⫖↰⪸920↙⫖↰⪸243A⨟⋌⩍⫖↰⪸3594⇼⇔∾(⫖↰⪸2811⨎⫖↰⪸1154⊘))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70,"operation_count":13,"complexity_ratio":5.384615384615385,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5395,"base":12},"right_expr":{"type":"numeric_atoms","value":1241,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1974,"base":12},"right_expr":{"type":"numeric_atoms","value":7365,"base":12}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3253,"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":2981,"base":12},"right_expr":{"type":"numeric_atoms","value":1320,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4078,"base":12},"right_expr":{"type":"numeric_atoms","value":6016,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4621,"base":12},"right_expr":{"type":"numeric_atoms","value":1936,"base":12}}}}},"used_operators":["mqXw5SEYmG","i8ToyICDmI","oacrs7FA3X","T2fj7uvVaJ","AHs5Up7iyr","EBcxylXtPf","sdazOOVcIp","tifHPKVTfV","yyfyN0ffXY","7j4O788W3g","rGHVDoGpnC","gu96TGCTMs","rJVOvQCfKK"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5395","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=1241, 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=1974","layer":4},{"info":"number node, value=7365","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=7365, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=3253","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=1936, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2736","layer":3},{"info":"compute unary expreesion, input=2736, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6873","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6873, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2981","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=1320, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1320","layer":3},{"info":"number node, value=4078","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=6016, 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=1320, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=4621","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=1936, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1936","layer":3},{"info":"compute unary expreesion, input=1936, 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=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3157⋓⫖↰⪸875)⪘⫢⫖↰⪸1186≹⇙⪍⫖↰⪸4319∲⫓((⫖↰⪸1A71⪨≂⫖↰⪸1154)⫌⩹⨱))⫸⊐(⫖↰⪸1885↺⫖↰⪸920↙⫖↰⪸243A⨟⋌⩍⫖↰⪸3594⇼⇔∾(⫖↰⪸2811⨎⫖↰⪸1154⊘))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸3157⋓⫖↰⪸875)⪘⫢⫖↰⪸1186≹⇙⪍⫖↰⪸4319∲⫓((⫖↰⪸1A71⪨≂⫖↰⪸1154)⫌⩹⨱))⫸⊐(⫖↰⪸1885↺⫖↰⪸920↙⫖↰⪸243A⨟⋌⩍⫖↰⪸3594⇼⇔∾(⫖↰⪸2811⨎⫖↰⪸1154⊘))","cot":[{"info":"⫖↰⪸3157⋓⫖↰⪸875=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1186≹⇙⪍⫖↰⪸4319=NaN","layer":3},{"info":"⫖↰⪸0⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸1A71⪨≂⫖↰⪸1154=⫖↰⪸1700","layer":3},{"info":"⫖↰⪸1700⫌⩹⨱=⫖↰⪸3B89","layer":2},{"info":"NaN∲⫓⫖↰⪸3B89=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1885↺⫖↰⪸920=⫖↰⪸920","layer":3},{"info":"⫖↰⪸243A⨟⋌⩍⫖↰⪸3594=NaN","layer":3},{"info":"⫖↰⪸920↙NaN=NaN","layer":2},{"info":"⫖↰⪸2811⨎⫖↰⪸1154=⫖↰⪸1154","layer":3},{"info":"⫖↰⪸1154⊘=⫖↰⪸0","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸0⫸⊐NaN=⫖↰⪸0","layer":0}]}
{"id":867,"expression_no_base_symbol":"(↩((↣≠⋷$4142$)%($6311$⫡⨏$5930$)))⊴(($1428$⪘⫢$1148$/$3195$⩷∴$1685$)⩚⊴⇥(($1241$⊘)⋥≓≎$7131$⋓$1783$))","expression":"(↩((↣≠⋷⫖↰⪸2492)%(⫖↰⪸379B⫡⨏⫖↰⪸3522)))⊴((⫖↰⪸9B0⪘⫢⫖↰⪸7B8/⫖↰⪸1A23⩷∴⫖↰⪸B85)⩚⊴⇥((⫖↰⪸875⊘)⋥≓≎⫖↰⪸4163⋓⫖↰⪸1047))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":251,"operation_count":12,"complexity_ratio":20.916666666666668,"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":4142,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6311,"base":12},"right_expr":{"type":"numeric_atoms","value":5930,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":1148,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3195,"base":12},"right_expr":{"type":"numeric_atoms","value":1685,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1241,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7131,"base":12},"right_expr":{"type":"numeric_atoms","value":1783,"base":12}}}}},"used_operators":["Nsiff2A1zJ","jLgFTUHLKL","k8jYdgA6NY","Asc51vEJeQ","QMFrweE19q","NTOWxs364D","XhwjNDsVaA","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","gu96TGCTMs","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","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=4142","layer":4},{"info":"compute unary expreesion, input=4142, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6311","layer":4},{"info":"number node, value=5930","layer":4},{"info":"compute binary expreesion, left_input=6311, right_input=5930, 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=44198","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=44198, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1428","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=1148, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2732","layer":3},{"info":"number node, value=3195","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=1685, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2988","layer":3},{"info":"compute binary expreesion, left_input=2732, right_input=2988, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=7131","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=7131, right_input=1783, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=33","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=33, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-154","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-154, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↩((↣≠⋷⫖↰⪸2492)%(⫖↰⪸379B⫡⨏⫖↰⪸3522)))⊴((⫖↰⪸9B0⪘⫢⫖↰⪸7B8/⫖↰⪸1A23⩷∴⫖↰⪸B85)⩚⊴⇥((⫖↰⪸875⊘)⋥≓≎⫖↰⪸4163⋓⫖↰⪸1047))=NaN","reverse_text":"NaN=(↩((↣≠⋷⫖↰⪸2492)%(⫖↰⪸379B⫡⨏⫖↰⪸3522)))⊴((⫖↰⪸9B0⪘⫢⫖↰⪸7B8/⫖↰⪸1A23⩷∴⫖↰⪸B85)⩚⊴⇥((⫖↰⪸875⊘)⋥≓≎⫖↰⪸4163⋓⫖↰⪸1047))","cot":[{"info":"↣≠⋷⫖↰⪸2492=NaN","layer":3},{"info":"⫖↰⪸379B⫡⨏⫖↰⪸3522=⫖↰⪸216B2","layer":3},{"info":"NaN%⫖↰⪸216B2=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⫖↰⪸9B0⪘⫢⫖↰⪸7B8=⫖↰⪸16B8","layer":3},{"info":"⫖↰⪸1A23⩷∴⫖↰⪸B85=⫖↰⪸1890","layer":3},{"info":"⫖↰⪸16B8/⫖↰⪸1890=⫖↰⪸0","layer":2},{"info":"⫖↰⪸875⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4163⋓⫖↰⪸1047=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⋥≓≎⫖↰⪸0=⫖↰⪸29","layer":2},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸29=⫖↰⪸-10A","layer":1},{"info":"NaN⊴⫖↰⪸-10A=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"($2007$/$6466$)⩚⊴⇥(⪝⪂⫅$2862$)⩚⊴⇥(($8520$⨽$4196$)⨐⩸⫘(≉$3558$))⫩⊇","expression":"(⫖↰⪸11B3/⫖↰⪸38AA)⩚⊴⇥(⪝⪂⫅⫖↰⪸17A6)⩚⊴⇥((⫖↰⪸4B20⨽⫖↰⪸2518)⨐⩸⫘(≉⫖↰⪸2086))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8691,"operation_count":8,"complexity_ratio":1086.375,"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":2007,"base":12},"right_expr":{"type":"numeric_atoms","value":6466,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2862,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8520,"base":12},"right_expr":{"type":"numeric_atoms","value":4196,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3558,"base":12}}}}},"used_operators":["BjRHVeLaeN","NTOWxs364D","XhwjNDsVaA","XTarYq4gQB","fu6greOZ01","8HhzD0ZcuI","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"number node, value=6466","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=6466, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2862","layer":4},{"info":"compute unary expreesion, input=2862, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-420714","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-420714, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=420593","layer":2},{"info":"number node, value=8520","layer":4},{"info":"number node, value=4196","layer":4},{"info":"compute binary expreesion, left_input=8520, right_input=4196, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-217782474","layer":3},{"info":"number node, value=3558","layer":4},{"info":"compute unary expreesion, input=3558, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4089","layer":3},{"info":"compute binary expreesion, left_input=-217782474, right_input=4089, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=420593, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸11B3/⫖↰⪸38AA)⩚⊴⇥(⪝⪂⫅⫖↰⪸17A6)⩚⊴⇥((⫖↰⪸4B20⨽⫖↰⪸2518)⨐⩸⫘(≉⫖↰⪸2086))⫩⊇=NaN","reverse_text":"NaN=(⫖↰⪸11B3/⫖↰⪸38AA)⩚⊴⇥(⪝⪂⫅⫖↰⪸17A6)⩚⊴⇥((⫖↰⪸4B20⨽⫖↰⪸2518)⨐⩸⫘(≉⫖↰⪸2086))⫩⊇","cot":[{"info":"⫖↰⪸11B3/⫖↰⪸38AA=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸17A6=⫖↰⪸-183576","layer":3},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸-183576=⫖↰⪸183495","layer":2},{"info":"⫖↰⪸4B20⨽⫖↰⪸2518=⫖↰⪸-60B27636","layer":3},{"info":"≉⫖↰⪸2086=⫖↰⪸2449","layer":3},{"info":"⫖↰⪸-60B27636⨐⩸⫘⫖↰⪸2449=NaN","layer":2},{"info":"⫖↰⪸183495⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"(↣≠⋷(($4020$⪨≂$7815$)⨽$7383$⇷$6581$))⨁⊸⫻","expression":"(↣≠⋷((⫖↰⪸23B0⪨≂⫖↰⪸4633)⨽⫖↰⪸4333⇷⫖↰⪸3985))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":110874,"operation_count":5,"complexity_ratio":22174.8,"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":4020,"base":12},"right_expr":{"type":"numeric_atoms","value":7815,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7383,"base":12},"right_expr":{"type":"numeric_atoms","value":6581,"base":12}}}}},"used_operators":["glklzrTFfD","Asc51vEJeQ","8HhzD0ZcuI","sdazOOVcIp","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4020","layer":4},{"info":"number node, value=7815","layer":4},{"info":"compute binary expreesion, left_input=4020, right_input=7815, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7488","layer":3},{"info":"number node, value=7383","layer":4},{"info":"number node, value=6581","layer":4},{"info":"compute binary expreesion, left_input=7383, right_input=6581, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13162","layer":3},{"info":"compute binary expreesion, left_input=-7488, right_input=13162, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-168248604","layer":2},{"info":"compute unary expreesion, input=-168248604, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷((⫖↰⪸23B0⪨≂⫖↰⪸4633)⨽⫖↰⪸4333⇷⫖↰⪸3985))⨁⊸⫻=NaN","reverse_text":"NaN=(↣≠⋷((⫖↰⪸23B0⪨≂⫖↰⪸4633)⨽⫖↰⪸4333⇷⫖↰⪸3985))⨁⊸⫻","cot":[{"info":"⫖↰⪸23B0⪨≂⫖↰⪸4633=⫖↰⪸-4400","layer":3},{"info":"⫖↰⪸4333⇷⫖↰⪸3985=⫖↰⪸774A","layer":3},{"info":"⫖↰⪸-4400⨽⫖↰⪸774A=⫖↰⪸-4841A110","layer":2},{"info":"↣≠⋷⫖↰⪸-4841A110=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"≉(⋗⩬⋾(↽≂$2117$))⨎(($1633$⨸⪁$2532$)⩠)","expression":"≉(⋗⩬⋾(↽≂⫖↰⪸1285))⨎((⫖↰⪸B41⨸⪁⫖↰⪸1570)⩠)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":30,"operation_count":6,"complexity_ratio":5.0,"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":2117,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1633,"base":12},"right_expr":{"type":"numeric_atoms","value":2532,"base":12}}}}},"used_operators":["e1ybzncUwg","rJVOvQCfKK","DpFCA1CohY","u6S6b8DprG","sJAwomhLZr","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe"],"result":"⫖↰⪸383","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4234","layer":3},{"info":"compute unary expreesion, input=-4234, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12702","layer":2},{"info":"number node, value=1633","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=2532, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8330","layer":3},{"info":"compute unary expreesion, input=8330, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12702, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"compute 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":"≉(⋗⩬⋾(↽≂⫖↰⪸1285))⨎((⫖↰⪸B41⨸⪁⫖↰⪸1570)⩠)=⫖↰⪸383","reverse_text":"⫖↰⪸383=≉(⋗⩬⋾(↽≂⫖↰⪸1285))⨎((⫖↰⪸B41⨸⪁⫖↰⪸1570)⩠)","cot":[{"info":"↽≂⫖↰⪸1285=⫖↰⪸-254A","layer":3},{"info":"⋗⩬⋾⫖↰⪸-254A=⫖↰⪸7426","layer":2},{"info":"⫖↰⪸B41⨸⪁⫖↰⪸1570=⫖↰⪸49A2","layer":3},{"info":"⫖↰⪸49A2⩠=⫖↰⪸0","layer":2},{"info":"⫖↰⪸7426⨎⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"≉⫖↰⪸0=⫖↰⪸383","layer":0}]}
{"id":871,"expression_no_base_symbol":"(⨵≀≌($3026$⋳⪒$1004$/($1108$↛⩡⫤)))⨟⋌⩍(($3221$⨰$4705$⊘)∀⇚≩((≤/$3639$)⩷∴($4938$⋥≓≎$2235$)))","expression":"(⨵≀≌(⫖↰⪸1902⋳⪒⫖↰⪸6B8/(⫖↰⪸784↛⩡⫤)))⨟⋌⩍((⫖↰⪸1A45⨰⫖↰⪸2881⊘)∀⇚≩((≤/⫖↰⪸2133)⩷∴(⫖↰⪸2A36⋥≓≎⫖↰⪸1363)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3518,"operation_count":11,"complexity_ratio":319.8181818181818,"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":3026,"base":12},"right_expr":{"type":"numeric_atoms","value":1004,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1108,"base":12}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3221,"base":12},"right_expr":{"type":"numeric_atoms","value":4705,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3639,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4938,"base":12},"right_expr":{"type":"numeric_atoms","value":2235,"base":12}}}}},"used_operators":["rGHVDoGpnC","srAu1WTS94","XhwjNDsVaA","12rbrZMWeM","FU0Cs4j7VP","LRNGc0VcxI","gu96TGCTMs","eewbuw0ToL","9FxExcQeMw","eLAdDNolq6","Qy55tPpLXF"],"dependent_operators":["Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","X99M06cbEe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3026","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=1004, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4761","layer":3},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-163397","layer":3},{"info":"compute binary expreesion, left_input=4761, right_input=-163397, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1","layer":1},{"info":"number node, value=3221","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=4705, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1474","layer":3},{"info":"compute unary expreesion, input=-1474, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3155","layer":3},{"info":"number node, value=4938","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=2235, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-435","layer":3},{"info":"compute binary expreesion, left_input=-3155, right_input=-435, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5472","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-5472, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=9543","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=9543, 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":"(⨵≀≌(⫖↰⪸1902⋳⪒⫖↰⪸6B8/(⫖↰⪸784↛⩡⫤)))⨟⋌⩍((⫖↰⪸1A45⨰⫖↰⪸2881⊘)∀⇚≩((≤/⫖↰⪸2133)⩷∴(⫖↰⪸2A36⋥≓≎⫖↰⪸1363)))=NaN","reverse_text":"NaN=(⨵≀≌(⫖↰⪸1902⋳⪒⫖↰⪸6B8/(⫖↰⪸784↛⩡⫤)))⨟⋌⩍((⫖↰⪸1A45⨰⫖↰⪸2881⊘)∀⇚≩((≤/⫖↰⪸2133)⩷∴(⫖↰⪸2A36⋥≓≎⫖↰⪸1363)))","cot":[{"info":"⫖↰⪸1902⋳⪒⫖↰⪸6B8=⫖↰⪸2909","layer":3},{"info":"⫖↰⪸784↛⩡⫤=⫖↰⪸-7A685","layer":3},{"info":"⫖↰⪸2909/⫖↰⪸-7A685=⫖↰⪸-1","layer":2},{"info":"⨵≀≌⫖↰⪸-1=⫖↰⪸1","layer":1},{"info":"⫖↰⪸1A45⨰⫖↰⪸2881=⫖↰⪸-A2A","layer":3},{"info":"⫖↰⪸-A2A⊘=⫖↰⪸-1","layer":2},{"info":"≤/⫖↰⪸2133=⫖↰⪸-19AB","layer":3},{"info":"⫖↰⪸2A36⋥≓≎⫖↰⪸1363=⫖↰⪸-303","layer":3},{"info":"⫖↰⪸-19AB⩷∴⫖↰⪸-303=⫖↰⪸-3200","layer":2},{"info":"⫖↰⪸-1∀⇚≩⫖↰⪸-3200=⫖↰⪸5633","layer":1},{"info":"⫖↰⪸1⨟⋌⩍⫖↰⪸5633=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"(((∥⊫$3146$)⨎$2016$≭$1587$)⫩⊇)⇼⇔∾((↔($1410$⨐⩸⫘$5022$))%($5458$⨵⪆$5135$)⇷(⨵≀≌$6145$))","expression":"(((∥⊫⫖↰⪸19A2)⨎⫖↰⪸1200≭⫖↰⪸B03)⫩⊇)⇼⇔∾((↔(⫖↰⪸996⨐⩸⫘⫖↰⪸2AA6))%(⫖↰⪸31AA⨵⪆⫖↰⪸2B7B)⇷(⨵≀≌⫖↰⪸3681))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2286,"operation_count":11,"complexity_ratio":207.8181818181818,"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":3146,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2016,"base":12},"right_expr":{"type":"numeric_atoms","value":1587,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":5022,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5458,"base":12},"right_expr":{"type":"numeric_atoms","value":5135,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6145,"base":12}}}}},"used_operators":["tifHPKVTfV","BjRHVeLaeN","rJVOvQCfKK","P8v4zCKN1o","rxpJgHHUmx","k8jYdgA6NY","ruOEQAzv1W","fu6greOZ01","mp7IySMOzn","2DQ55sFlQl","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3146","layer":4},{"info":"compute unary expreesion, input=3146, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4014","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1587, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4014, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=1410","layer":4},{"info":"number node, value=5022","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=5022, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=5458","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=5135, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6145","layer":4},{"info":"compute unary expreesion, input=6145, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18435","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-18435, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((∥⊫⫖↰⪸19A2)⨎⫖↰⪸1200≭⫖↰⪸B03)⫩⊇)⇼⇔∾((↔(⫖↰⪸996⨐⩸⫘⫖↰⪸2AA6))%(⫖↰⪸31AA⨵⪆⫖↰⪸2B7B)⇷(⨵≀≌⫖↰⪸3681))=NaN","reverse_text":"NaN=(((∥⊫⫖↰⪸19A2)⨎⫖↰⪸1200≭⫖↰⪸B03)⫩⊇)⇼⇔∾((↔(⫖↰⪸996⨐⩸⫘⫖↰⪸2AA6))%(⫖↰⪸31AA⨵⪆⫖↰⪸2B7B)⇷(⨵≀≌⫖↰⪸3681))","cot":[{"info":"∥⊫⫖↰⪸19A2=⫖↰⪸23A6","layer":3},{"info":"⫖↰⪸1200≭⫖↰⪸B03=NaN","layer":3},{"info":"⫖↰⪸23A6⨎NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⫖↰⪸996⨐⩸⫘⫖↰⪸2AA6=NaN","layer":3},{"info":"↔NaN=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸31AA⨵⪆⫖↰⪸2B7B=⫖↰⪸114","layer":3},{"info":"⨵≀≌⫖↰⪸3681=⫖↰⪸-A803","layer":3},{"info":"⫖↰⪸114⇷⫖↰⪸-A803=NaN","layer":2},{"info":"⫖↰⪸-B2%NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(⋗⩬⋾($5552$⪨≂$3224$)⪢($4985$⋓$3341$))∀⇚≩(↣≠⋷(⨑⩽⪐$1263$))⊴(⨈⫕($3528$⋫))","expression":"(⋗⩬⋾(⫖↰⪸3268⪨≂⫖↰⪸1A48)⪢(⫖↰⪸2A75⋓⫖↰⪸1B25))∀⇚≩(↣≠⋷(⨑⩽⪐⫖↰⪸893))⊴(⨈⫕(⫖↰⪸2060⋫))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":984070,"operation_count":10,"complexity_ratio":98407.0,"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":5552,"base":12},"right_expr":{"type":"numeric_atoms","value":3224,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4985,"base":12},"right_expr":{"type":"numeric_atoms","value":3341,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1263,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3528,"base":12}}}}},"used_operators":["LRNGc0VcxI","DpFCA1CohY","dWAJyo7jo9","sdazOOVcIp","T2fj7uvVaJ","Nsiff2A1zJ","Asc51vEJeQ","AF7qkfDlqP","megm06wKyl","JL8yIekQnl"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5552","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=5552, right_input=3224, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4758","layer":3},{"info":"number node, value=4985","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=4985, right_input=3341, 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=4758, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-990","layer":3},{"info":"compute unary expreesion, input=-990, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3528","layer":4},{"info":"compute unary expreesion, input=3528, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3528","layer":3},{"info":"compute unary expreesion, input=3528, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾(⫖↰⪸3268⪨≂⫖↰⪸1A48)⪢(⫖↰⪸2A75⋓⫖↰⪸1B25))∀⇚≩(↣≠⋷(⨑⩽⪐⫖↰⪸893))⊴(⨈⫕(⫖↰⪸2060⋫))=NaN","reverse_text":"NaN=(⋗⩬⋾(⫖↰⪸3268⪨≂⫖↰⪸1A48)⪢(⫖↰⪸2A75⋓⫖↰⪸1B25))∀⇚≩(↣≠⋷(⨑⩽⪐⫖↰⪸893))⊴(⨈⫕(⫖↰⪸2060⋫))","cot":[{"info":"⫖↰⪸3268⪨≂⫖↰⪸1A48=⫖↰⪸2906","layer":3},{"info":"⫖↰⪸2A75⋓⫖↰⪸1B25=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2906⪢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⋗⩬⋾⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⨑⩽⪐⫖↰⪸893=⫖↰⪸-6A6","layer":3},{"info":"↣≠⋷⫖↰⪸-6A6=NaN","layer":2},{"info":"⫖↰⪸2060⋫=⫖↰⪸2060","layer":3},{"info":"⨈⫕⫖↰⪸2060=⫖↰⪸-19","layer":2},{"info":"NaN⊴⫖↰⪸-19=NaN","layer":1},{"info":"⫖↰⪸0∀⇚≩NaN=NaN","layer":0}]}
{"id":874,"expression_no_base_symbol":"⪝⪂⫅(($3583$⨰$3784$⊘)⋥≓≎$2289$⊴$7620$⇷($3952$≋⫹))","expression":"⪝⪂⫅((⫖↰⪸20A7⨰⫖↰⪸2234⊘)⋥≓≎⫖↰⪸13A9⊴⫖↰⪸44B0⇷(⫖↰⪸2354≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7674,"operation_count":7,"complexity_ratio":1096.2857142857142,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3583,"base":12},"right_expr":{"type":"numeric_atoms","value":3784,"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":7620,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3952,"base":12}}}}},"used_operators":["XTarYq4gQB","Qy55tPpLXF","gu96TGCTMs","eewbuw0ToL","mp7IySMOzn","Nsiff2A1zJ","N41Kp7NANJ"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3583","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=3784, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-191","layer":3},{"info":"compute unary expreesion, input=-191, 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=2289","layer":4},{"info":"number node, value=7620","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=7620, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3952","layer":4},{"info":"compute unary expreesion, input=3952, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7904, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , 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":"⪝⪂⫅((⫖↰⪸20A7⨰⫖↰⪸2234⊘)⋥≓≎⫖↰⪸13A9⊴⫖↰⪸44B0⇷(⫖↰⪸2354≋⫹))=NaN","reverse_text":"NaN=⪝⪂⫅((⫖↰⪸20A7⨰⫖↰⪸2234⊘)⋥≓≎⫖↰⪸13A9⊴⫖↰⪸44B0⇷(⫖↰⪸2354≋⫹))","cot":[{"info":"⫖↰⪸20A7⨰⫖↰⪸2234=⫖↰⪸-13B","layer":3},{"info":"⫖↰⪸-13B⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸13A9⊴⫖↰⪸44B0=NaN","layer":3},{"info":"⫖↰⪸2354≋⫹=⫖↰⪸-46A8","layer":3},{"info":"NaN⇷⫖↰⪸-46A8=NaN","layer":2},{"info":"⫖↰⪸0⋥≓≎NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"(($1058$⫡⨏$8678$)⋳⪒($1088$⇋≉))∼((⨈⫕$1851$)⇼⇔∾(≤/$1925$))/((∥⊫($2663$⫌⩹⨱))≦≮≮)","expression":"((⫖↰⪸742⫡⨏⫖↰⪸5032)⋳⪒(⫖↰⪸768⇋≉))∼((⨈⫕⫖↰⪸10A3)⇼⇔∾(≤/⫖↰⪸1145))/((∥⊫(⫖↰⪸165B⫌⩹⨱))≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1295,"operation_count":11,"complexity_ratio":117.72727272727273,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":8678,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1088,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1851,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1925,"base":12}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2663,"base":12}}}}},"used_operators":["XhwjNDsVaA","DyGG3AbaNP","12rbrZMWeM","QMFrweE19q","XIabStNQrY","tifHPKVTfV","megm06wKyl","eLAdDNolq6","D4vGDi5EA2","P8v4zCKN1o","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=8678","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=8678, 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=23429","layer":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2078","layer":3},{"info":"compute binary expreesion, left_input=23429, right_input=2078, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=44493","layer":2},{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, 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=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1441","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1441, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1420","layer":2},{"info":"compute binary expreesion, left_input=44493, right_input=-1420, 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=2663","layer":4},{"info":"compute unary expreesion, input=2663, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6727","layer":3},{"info":"compute unary expreesion, input=6727, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7595","layer":2},{"info":"compute unary expreesion, input=7595, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22785","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22785, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸742⫡⨏⫖↰⪸5032)⋳⪒(⫖↰⪸768⇋≉))∼((⨈⫕⫖↰⪸10A3)⇼⇔∾(≤/⫖↰⪸1145))/((∥⊫(⫖↰⪸165B⫌⩹⨱))≦≮≮)=NaN","reverse_text":"NaN=((⫖↰⪸742⫡⨏⫖↰⪸5032)⋳⪒(⫖↰⪸768⇋≉))∼((⨈⫕⫖↰⪸10A3)⇼⇔∾(≤/⫖↰⪸1145))/((∥⊫(⫖↰⪸165B⫌⩹⨱))≦≮≮)","cot":[{"info":"⫖↰⪸742⫡⨏⫖↰⪸5032=⫖↰⪸11685","layer":3},{"info":"⫖↰⪸768⇋≉=⫖↰⪸1252","layer":3},{"info":"⫖↰⪸11685⋳⪒⫖↰⪸1252=⫖↰⪸218B9","layer":2},{"info":"⨈⫕⫖↰⪸10A3=⫖↰⪸-19","layer":3},{"info":"≤/⫖↰⪸1145=⫖↰⪸-A01","layer":3},{"info":"⫖↰⪸-19⇼⇔∾⫖↰⪸-A01=⫖↰⪸-9A4","layer":2},{"info":"⫖↰⪸218B9∼⫖↰⪸-9A4=NaN","layer":1},{"info":"⫖↰⪸165B⫌⩹⨱=⫖↰⪸3A87","layer":3},{"info":"∥⊫⫖↰⪸3A87=⫖↰⪸448B","layer":2},{"info":"⫖↰⪸448B≦≮≮=⫖↰⪸-11229","layer":1},{"info":"NaN/⫖↰⪸-11229=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"((($1199$/$6980$)∧)⇼⇔∾(↥$2855$⇷$1497$))⪛(⫛⫱⨽(↔(≦∁$4032$)))","expression":"(((⫖↰⪸83B/⫖↰⪸4058)∧)⇼⇔∾(↥⫖↰⪸179B⇷⫖↰⪸A49))⪛(⫛⫱⨽(↔(≦∁⫖↰⪸2400)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41476,"operation_count":9,"complexity_ratio":4608.444444444444,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1199,"base":12},"right_expr":{"type":"numeric_atoms","value":6980,"base":12}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2855,"base":12},"right_expr":{"type":"numeric_atoms","value":1497,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4032,"base":12}}}}},"used_operators":["uFcxV4UQCh","tifHPKVTfV","z63VuFQld9","XhwjNDsVaA","A8NUZmVepG","mp7IySMOzn","DlLNRPXxWL","ruOEQAzv1W","9ICcGScMcE"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"number node, value=6980","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=6980, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=2855","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=1497, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2994","layer":3},{"info":"compute unary expreesion, input=2994, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=36, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=36","layer":1},{"info":"number node, value=4032","layer":4},{"info":"compute unary expreesion, input=4032, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4032","layer":3},{"info":"compute unary expreesion, input=4032, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3759","layer":2},{"info":"compute unary expreesion, input=-3759, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=36, right_input=0, 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":"(((⫖↰⪸83B/⫖↰⪸4058)∧)⇼⇔∾(↥⫖↰⪸179B⇷⫖↰⪸A49))⪛(⫛⫱⨽(↔(≦∁⫖↰⪸2400)))=NaN","reverse_text":"NaN=(((⫖↰⪸83B/⫖↰⪸4058)∧)⇼⇔∾(↥⫖↰⪸179B⇷⫖↰⪸A49))⪛(⫛⫱⨽(↔(≦∁⫖↰⪸2400)))","cot":[{"info":"⫖↰⪸83B/⫖↰⪸4058=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∧=⫖↰⪸0","layer":2},{"info":"⫖↰⪸179B⇷⫖↰⪸A49=⫖↰⪸1896","layer":3},{"info":"↥⫖↰⪸1896=⫖↰⪸30","layer":2},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸30=⫖↰⪸30","layer":1},{"info":"≦∁⫖↰⪸2400=⫖↰⪸2400","layer":3},{"info":"↔⫖↰⪸2400=⫖↰⪸-2213","layer":2},{"info":"⫛⫱⨽⫖↰⪸-2213=⫖↰⪸0","layer":1},{"info":"⫖↰⪸30⪛⫖↰⪸0=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"((($1209$⫡⨏$4641$)⊦⊿)/(↩$1527$)⪒(∂$4813$))⪄(($4107$*$6676$)⊪)+⇶⊼(↯⪼($2432$↙$3728$))","expression":"(((⫖↰⪸849⫡⨏⫖↰⪸2829)⊦⊿)/(↩⫖↰⪸A73)⪒(∂⫖↰⪸2951))⪄((⫖↰⪸2463*⫖↰⪸3A44)⊪)+⇶⊼(↯⪼(⫖↰⪸14A8↙⫖↰⪸21A8))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7940,"operation_count":12,"complexity_ratio":661.6666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1209,"base":12},"right_expr":{"type":"numeric_atoms","value":4641,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1527,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4813,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4107,"base":12},"right_expr":{"type":"numeric_atoms","value":6676,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2432,"base":12},"right_expr":{"type":"numeric_atoms","value":3728,"base":12}}}}},"used_operators":["SUmda5xLS4","XhwjNDsVaA","14qkJME0vr","QMFrweE19q","f6k1SAg4EE","jLgFTUHLKL","Uaa54Peajs","TpPTUOHfaN","zVYPLywUTj","9HNa5Wba9A","8jW3W4yZS5","yyfyN0ffXY"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=4641","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=4641, 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=16110","layer":3},{"info":"compute unary expreesion, input=16110, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-48409","layer":2},{"info":"number node, value=1527","layer":4},{"info":"compute unary expreesion, input=1527, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9436","layer":3},{"info":"number node, value=4813","layer":4},{"info":"compute unary expreesion, input=4813, 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=-9436, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-48409, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4107","layer":4},{"info":"number node, value=6676","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=6676, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=27418332","layer":3},{"info":"compute unary expreesion, input=27418332, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"number node, value=2432","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=3728, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11184","layer":3},{"info":"compute unary expreesion, input=-11184, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=21451","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=21451, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(((⫖↰⪸849⫡⨏⫖↰⪸2829)⊦⊿)/(↩⫖↰⪸A73)⪒(∂⫖↰⪸2951))⪄((⫖↰⪸2463*⫖↰⪸3A44)⊪)+⇶⊼(↯⪼(⫖↰⪸14A8↙⫖↰⪸21A8))=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(((⫖↰⪸849⫡⨏⫖↰⪸2829)⊦⊿)/(↩⫖↰⪸A73)⪒(∂⫖↰⪸2951))⪄((⫖↰⪸2463*⫖↰⪸3A44)⊪)+⇶⊼(↯⪼(⫖↰⪸14A8↙⫖↰⪸21A8))","cot":[{"info":"⫖↰⪸849⫡⨏⫖↰⪸2829=⫖↰⪸93A6","layer":3},{"info":"⫖↰⪸93A6⊦⊿=⫖↰⪸-24021","layer":2},{"info":"↩⫖↰⪸A73=⫖↰⪸-5564","layer":3},{"info":"∂⫖↰⪸2951=NaN","layer":3},{"info":"⫖↰⪸-5564⪒NaN=NaN","layer":2},{"info":"⫖↰⪸-24021/NaN=NaN","layer":1},{"info":"⫖↰⪸2463*⫖↰⪸3A44=⫖↰⪸9223110","layer":3},{"info":"⫖↰⪸9223110⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸14A8↙⫖↰⪸21A8=⫖↰⪸-6580","layer":3},{"info":"↯⪼⫖↰⪸-6580=⫖↰⪸104B7","layer":2},{"info":"⫖↰⪸0+⇶⊼⫖↰⪸104B7=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":878,"expression_no_base_symbol":"⨑⩽⪐(≉($2592$⨳⩥⨓$1115$⋷(↥$9412$)))","expression":"⨑⩽⪐(≉(⫖↰⪸1600⨳⩥⨓⫖↰⪸78B⋷(↥⫖↰⪸5544)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":195,"operation_count":5,"complexity_ratio":39.0,"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":2592,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":9412,"base":12}}}}},"used_operators":["AF7qkfDlqP","e1ybzncUwg","23Mk6UjR3U","nCS4ZIUYfx","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"⫖↰⪸-1A38","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2592","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=1115, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1477","layer":3},{"info":"number node, value=9412","layer":4},{"info":"compute unary expreesion, input=9412, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":3},{"info":"compute binary expreesion, left_input=-1477, right_input=28, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2954","layer":2},{"info":"compute unary expreesion, input=2954, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3485","layer":1},{"info":"compute unary expreesion, input=3485, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3212","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(≉(⫖↰⪸1600⨳⩥⨓⫖↰⪸78B⋷(↥⫖↰⪸5544)))=⫖↰⪸-1A38","reverse_text":"⫖↰⪸-1A38=⨑⩽⪐(≉(⫖↰⪸1600⨳⩥⨓⫖↰⪸78B⋷(↥⫖↰⪸5544)))","cot":[{"info":"⫖↰⪸1600⨳⩥⨓⫖↰⪸78B=⫖↰⪸-A31","layer":3},{"info":"↥⫖↰⪸5544=⫖↰⪸24","layer":3},{"info":"⫖↰⪸-A31⋷⫖↰⪸24=⫖↰⪸1862","layer":2},{"info":"≉⫖↰⪸1862=⫖↰⪸2025","layer":1},{"info":"⨑⩽⪐⫖↰⪸2025=⫖↰⪸-1A38","layer":0}]}
{"id":879,"expression_no_base_symbol":"(($1117$⪘⫢$1734$⊘)↙$4385$∼$3476$⨓($2157$+⇶⊼$2945$))⊴(($1414$/$1582$/$5871$%$1261$)⊉≛↸$1566$⨟⋌⩍$1388$↬(+⊝⨔$3821$))","expression":"((⫖↰⪸791⪘⫢⫖↰⪸1006⊘)↙⫖↰⪸2655∼⫖↰⪸2018⨓(⫖↰⪸12B9+⇶⊼⫖↰⪸1855))⊴((⫖↰⪸99A/⫖↰⪸ABA/⫖↰⪸3493%⫖↰⪸891)⊉≛↸⫖↰⪸AA6⨟⋌⩍⫖↰⪸978↬(+⊝⨔⫖↰⪸2265))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":187,"operation_count":14,"complexity_ratio":13.357142857142858,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":1734,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4385,"base":12},"right_expr":{"type":"numeric_atoms","value":3476,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2157,"base":12},"right_expr":{"type":"numeric_atoms","value":2945,"base":12}}}},"right_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":1582,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5871,"base":12},"right_expr":{"type":"numeric_atoms","value":1261,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1566,"base":12},"right_expr":{"type":"numeric_atoms","value":1388,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3821,"base":12}}}}},"used_operators":["Nsiff2A1zJ","yyfyN0ffXY","gu96TGCTMs","oacrs7FA3X","3ViojmjbAp","DyGG3AbaNP","TpPTUOHfaN","DZ8iAZOCBD","XhwjNDsVaA","k8jYdgA6NY","B5M0gjZbta","rGHVDoGpnC","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸-67","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1734, 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 unary expreesion, input=2110, 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=4385","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=4385, right_input=3476, 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=2157","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=2945, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=1414","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1582, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5871","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=5871, right_input=1261, op_id = k8jYdgA6NY binary_op_definition= 'None', output=827","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=827, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1566","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1388, 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=3821","layer":4},{"info":"compute unary expreesion, input=3821, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸791⪘⫢⫖↰⪸1006⊘)↙⫖↰⪸2655∼⫖↰⪸2018⨓(⫖↰⪸12B9+⇶⊼⫖↰⪸1855))⊴((⫖↰⪸99A/⫖↰⪸ABA/⫖↰⪸3493%⫖↰⪸891)⊉≛↸⫖↰⪸AA6⨟⋌⩍⫖↰⪸978↬(+⊝⨔⫖↰⪸2265))=⫖↰⪸-67","reverse_text":"⫖↰⪸-67=((⫖↰⪸791⪘⫢⫖↰⪸1006⊘)↙⫖↰⪸2655∼⫖↰⪸2018⨓(⫖↰⪸12B9+⇶⊼⫖↰⪸1855))⊴((⫖↰⪸99A/⫖↰⪸ABA/⫖↰⪸3493%⫖↰⪸891)⊉≛↸⫖↰⪸AA6⨟⋌⩍⫖↰⪸978↬(+⊝⨔⫖↰⪸2265))","cot":[{"info":"⫖↰⪸791⪘⫢⫖↰⪸1006=⫖↰⪸127A","layer":3},{"info":"⫖↰⪸127A⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2655∼⫖↰⪸2018=NaN","layer":3},{"info":"⫖↰⪸12B9+⇶⊼⫖↰⪸1855=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⫖↰⪸0↙NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸99A/⫖↰⪸ABA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3493%⫖↰⪸891=⫖↰⪸58B","layer":3},{"info":"⫖↰⪸0/⫖↰⪸58B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸AA6⨟⋌⩍⫖↰⪸978=NaN","layer":3},{"info":"+⊝⨔⫖↰⪸2265=⫖↰⪸A6A","layer":3},{"info":"NaN↬⫖↰⪸A6A=NaN","layer":2},{"info":"⫖↰⪸0⊉≛↸NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊴⫖↰⪸0=⫖↰⪸-67","layer":0}]}
{"id":880,"expression_no_base_symbol":"((-$1280$)⩨$1923$⨓$2046$)⩚⊴⇥(≤/$2335$)⊴($3435$≣⋋)⨳⩥⨓(($2441$⩨$4966$)⨽(⫛⫱⨽$1414$)⪄(-$1874$)↬($1491$⊭↱$2798$))","expression":"((-⫖↰⪸8A8)⩨⫖↰⪸1143⨓⫖↰⪸1226)⩚⊴⇥(≤/⫖↰⪸1427)⊴(⫖↰⪸1BA3≣⋋)⨳⩥⨓((⫖↰⪸14B5⩨⫖↰⪸2A5A)⨽(⫛⫱⨽⫖↰⪸99A)⪄(-⫖↰⪸1102)↬(⫖↰⪸A43⊭↱⫖↰⪸1752))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4129,"operation_count":15,"complexity_ratio":275.26666666666665,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1280,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1923,"base":12},"right_expr":{"type":"numeric_atoms","value":2046,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2335,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3435,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2441,"base":12},"right_expr":{"type":"numeric_atoms","value":4966,"base":12}},"right_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":1874,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1491,"base":12},"right_expr":{"type":"numeric_atoms","value":2798,"base":12}}}}},"used_operators":["nCS4ZIUYfx","NTOWxs364D","2DlMacCsIx","t8gj7n24qd","3ViojmjbAp","Nsiff2A1zJ","eLAdDNolq6","Tcnh7f0tEr","SUmda5xLS4","8HhzD0ZcuI","DlLNRPXxWL","B5M0gjZbta","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","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 = t8gj7n24qd, unary_op_definition = 'None', output=-1280","layer":3},{"info":"number node, value=1923","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=2046, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2049","layer":3},{"info":"compute binary expreesion, left_input=-1280, right_input=-2049, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"number node, value=2335","layer":4},{"info":"compute unary expreesion, input=2335, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1851","layer":3},{"info":"number node, value=3435","layer":4},{"info":"compute unary expreesion, input=3435, 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=-1851, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-79, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-39","layer":1},{"info":"number node, value=2441","layer":4},{"info":"number node, value=4966","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=4966, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"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 binary expreesion, left_input=-6, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1206","layer":2},{"info":"number node, value=1874","layer":4},{"info":"compute unary expreesion, input=1874, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1874","layer":3},{"info":"number node, value=1491","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=2798, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2619","layer":3},{"info":"compute binary expreesion, left_input=-1874, right_input=2619, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1206, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-39, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((-⫖↰⪸8A8)⩨⫖↰⪸1143⨓⫖↰⪸1226)⩚⊴⇥(≤/⫖↰⪸1427)⊴(⫖↰⪸1BA3≣⋋)⨳⩥⨓((⫖↰⪸14B5⩨⫖↰⪸2A5A)⨽(⫛⫱⨽⫖↰⪸99A)⪄(-⫖↰⪸1102)↬(⫖↰⪸A43⊭↱⫖↰⪸1752))=NaN","reverse_text":"NaN=((-⫖↰⪸8A8)⩨⫖↰⪸1143⨓⫖↰⪸1226)⩚⊴⇥(≤/⫖↰⪸1427)⊴(⫖↰⪸1BA3≣⋋)⨳⩥⨓((⫖↰⪸14B5⩨⫖↰⪸2A5A)⨽(⫛⫱⨽⫖↰⪸99A)⪄(-⫖↰⪸1102)↬(⫖↰⪸A43⊭↱⫖↰⪸1752))","cot":[{"info":"-⫖↰⪸8A8=⫖↰⪸-8A8","layer":3},{"info":"⫖↰⪸1143⨓⫖↰⪸1226=⫖↰⪸-1229","layer":3},{"info":"⫖↰⪸-8A8⩨⫖↰⪸-1229=⫖↰⪸-3","layer":2},{"info":"≤/⫖↰⪸1427=⫖↰⪸-10A3","layer":3},{"info":"⫖↰⪸1BA3≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-10A3⊴⫖↰⪸0=⫖↰⪸-67","layer":2},{"info":"⫖↰⪸-3⩚⊴⇥⫖↰⪸-67=⫖↰⪸-33","layer":1},{"info":"⫖↰⪸14B5⩨⫖↰⪸2A5A=⫖↰⪸-6","layer":3},{"info":"⫛⫱⨽⫖↰⪸99A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-6⨽⫖↰⪸0=⫖↰⪸846","layer":2},{"info":"-⫖↰⪸1102=⫖↰⪸-1102","layer":3},{"info":"⫖↰⪸A43⊭↱⫖↰⪸1752=⫖↰⪸1623","layer":3},{"info":"⫖↰⪸-1102↬⫖↰⪸1623=NaN","layer":2},{"info":"⫖↰⪸846⪄NaN=NaN","layer":1},{"info":"⫖↰⪸-33⨳⩥⨓NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"(($1401$≹⇙⪍$4142$⊭↱$1155$⨎$2422$)≎⊠⪸($2418$⋥≓≎$1841$)⪢($3864$⫥∨⫟$5484$))⪘⫢(∂((≦∁$3581$)+$1455$↺$6362$))","expression":"((⫖↰⪸989≹⇙⪍⫖↰⪸2492⊭↱⫖↰⪸803⨎⫖↰⪸149A)≎⊠⪸(⫖↰⪸1496⋥≓≎⫖↰⪸1095)⪢(⫖↰⪸22A0⫥∨⫟⫖↰⪸3210))⪘⫢(∂((≦∁⫖↰⪸20A5)+⫖↰⪸A13↺⫖↰⪸3822))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":192,"operation_count":12,"complexity_ratio":16.0,"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":1401,"base":12},"right_expr":{"type":"numeric_atoms","value":4142,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1155,"base":12},"right_expr":{"type":"numeric_atoms","value":2422,"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":1841,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3864,"base":12},"right_expr":{"type":"numeric_atoms","value":5484,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3581,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1455,"base":12},"right_expr":{"type":"numeric_atoms","value":6362,"base":12}}}}},"used_operators":["oacrs7FA3X","bJkvcejdHO","COABgblf1C","AHs5Up7iyr","rJVOvQCfKK","dWAJyo7jo9","Qy55tPpLXF","KYD54nUTWz","Uaa54Peajs","W4YGzv6Whe","9ICcGScMcE","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1401","layer":4},{"info":"number node, value=4142","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=4142, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1155","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2422, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2422, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1841, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1297","layer":3},{"info":"number node, value=3864","layer":4},{"info":"number node, value=5484","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=5484, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1297, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=3581","layer":4},{"info":"compute unary expreesion, input=3581, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3581","layer":3},{"info":"number node, value=1455","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=6362, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6362","layer":3},{"info":"compute binary expreesion, left_input=3581, right_input=6362, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9943","layer":2},{"info":"compute unary expreesion, input=9943, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸989≹⇙⪍⫖↰⪸2492⊭↱⫖↰⪸803⨎⫖↰⪸149A)≎⊠⪸(⫖↰⪸1496⋥≓≎⫖↰⪸1095)⪢(⫖↰⪸22A0⫥∨⫟⫖↰⪸3210))⪘⫢(∂((≦∁⫖↰⪸20A5)+⫖↰⪸A13↺⫖↰⪸3822))=NaN","reverse_text":"NaN=((⫖↰⪸989≹⇙⪍⫖↰⪸2492⊭↱⫖↰⪸803⨎⫖↰⪸149A)≎⊠⪸(⫖↰⪸1496⋥≓≎⫖↰⪸1095)⪢(⫖↰⪸22A0⫥∨⫟⫖↰⪸3210))⪘⫢(∂((≦∁⫖↰⪸20A5)+⫖↰⪸A13↺⫖↰⪸3822))","cot":[{"info":"⫖↰⪸989≹⇙⪍⫖↰⪸2492=NaN","layer":3},{"info":"⫖↰⪸803⨎⫖↰⪸149A=⫖↰⪸149A","layer":3},{"info":"NaN⊭↱⫖↰⪸149A=NaN","layer":2},{"info":"⫖↰⪸1496⋥≓≎⫖↰⪸1095=⫖↰⪸901","layer":3},{"info":"⫖↰⪸22A0⫥∨⫟⫖↰⪸3210=NaN","layer":3},{"info":"⫖↰⪸901⪢NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"≦∁⫖↰⪸20A5=⫖↰⪸20A5","layer":3},{"info":"⫖↰⪸A13↺⫖↰⪸3822=⫖↰⪸3822","layer":3},{"info":"⫖↰⪸20A5+⫖↰⪸3822=⫖↰⪸5907","layer":2},{"info":"∂⫖↰⪸5907=NaN","layer":1},{"info":"⫖↰⪸57⪘⫢NaN=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"⊥((∂$1153$)⪢(↣≠⋷$7948$))⪢(↥(∥⊫$3207$))","expression":"⊥((∂⫖↰⪸801)⪢(↣≠⋷⫖↰⪸4724))⪢(↥(∥⊫⫖↰⪸1A33))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":135,"operation_count":7,"complexity_ratio":19.285714285714285,"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":1153,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7948,"base":12}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3207,"base":12}}}}},"used_operators":["Q3PJZHRvZv","dWAJyo7jo9","Uaa54Peajs","Asc51vEJeQ","A8NUZmVepG","P8v4zCKN1o"],"dependent_operators":["fu6greOZ01","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, 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=7948","layer":4},{"info":"compute unary expreesion, input=7948, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=3207","layer":4},{"info":"compute unary expreesion, input=3207, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4075","layer":3},{"info":"compute unary expreesion, input=4075, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=46, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥((∂⫖↰⪸801)⪢(↣≠⋷⫖↰⪸4724))⪢(↥(∥⊫⫖↰⪸1A33))=NaN","reverse_text":"NaN=⊥((∂⫖↰⪸801)⪢(↣≠⋷⫖↰⪸4724))⪢(↥(∥⊫⫖↰⪸1A33))","cot":[{"info":"∂⫖↰⪸801=NaN","layer":3},{"info":"↣≠⋷⫖↰⪸4724=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"∥⊫⫖↰⪸1A33=⫖↰⪸2437","layer":3},{"info":"↥⫖↰⪸2437=⫖↰⪸3A","layer":2},{"info":"NaN⪢⫖↰⪸3A=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"(($2758$⋓$5224$)≹⇙⪍($1079$↬$2158$)⪠⩆⊳)⊴(((↩$2343$)⪨≂($2467$⪠⩆⊳))⨓((≤/$2312$)⨳⩥⨓$1890$⋳⪒$3041$))","expression":"((⫖↰⪸171A⋓⫖↰⪸3034)≹⇙⪍(⫖↰⪸75B↬⫖↰⪸12BA)⪠⩆⊳)⊴(((↩⫖↰⪸1433)⪨≂(⫖↰⪸1517⪠⩆⊳))⨓((≤/⫖↰⪸1408)⨳⩥⨓⫖↰⪸1116⋳⪒⫖↰⪸1915))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4634,"operation_count":12,"complexity_ratio":386.1666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2758,"base":12},"right_expr":{"type":"numeric_atoms","value":5224,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1079,"base":12},"right_expr":{"type":"numeric_atoms","value":2158,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2343,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2467,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2312,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1890,"base":12},"right_expr":{"type":"numeric_atoms","value":3041,"base":12}}}}},"used_operators":["Nsiff2A1zJ","JLbD19bQDL","AHs5Up7iyr","T2fj7uvVaJ","B5M0gjZbta","3ViojmjbAp","sdazOOVcIp","jLgFTUHLKL","nCS4ZIUYfx","eLAdDNolq6","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2758","layer":4},{"info":"number node, value=5224","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=5224, 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=1079","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=2158, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"number node, value=2343","layer":4},{"info":"compute unary expreesion, input=2343, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15964","layer":3},{"info":"number node, value=2467","layer":4},{"info":"compute unary expreesion, input=2467, 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=-15964, 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=-31826","layer":2},{"info":"number node, value=2312","layer":4},{"info":"compute unary expreesion, input=2312, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1828","layer":3},{"info":"number node, value=1890","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=3041, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=452","layer":3},{"info":"compute binary expreesion, left_input=-1828, right_input=452, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2280","layer":2},{"info":"compute binary expreesion, left_input=-31826, right_input=2280, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2283","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2283, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸171A⋓⫖↰⪸3034)≹⇙⪍(⫖↰⪸75B↬⫖↰⪸12BA)⪠⩆⊳)⊴(((↩⫖↰⪸1433)⪨≂(⫖↰⪸1517⪠⩆⊳))⨓((≤/⫖↰⪸1408)⨳⩥⨓⫖↰⪸1116⋳⪒⫖↰⪸1915))=NaN","reverse_text":"NaN=((⫖↰⪸171A⋓⫖↰⪸3034)≹⇙⪍(⫖↰⪸75B↬⫖↰⪸12BA)⪠⩆⊳)⊴(((↩⫖↰⪸1433)⪨≂(⫖↰⪸1517⪠⩆⊳))⨓((≤/⫖↰⪸1408)⨳⩥⨓⫖↰⪸1116⋳⪒⫖↰⪸1915))","cot":[{"info":"⫖↰⪸171A⋓⫖↰⪸3034=⫖↰⪸0","layer":3},{"info":"⫖↰⪸75B↬⫖↰⪸12BA=NaN","layer":3},{"info":"⫖↰⪸0≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"↩⫖↰⪸1433=⫖↰⪸-92A4","layer":3},{"info":"⫖↰⪸1517⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-92A4⪨≂⫖↰⪸0=⫖↰⪸-16502","layer":2},{"info":"≤/⫖↰⪸1408=⫖↰⪸-1084","layer":3},{"info":"⫖↰⪸1116⋳⪒⫖↰⪸1915=⫖↰⪸318","layer":3},{"info":"⫖↰⪸-1084⨳⩥⨓⫖↰⪸318=⫖↰⪸13A0","layer":2},{"info":"⫖↰⪸-16502⨓⫖↰⪸13A0=⫖↰⪸-13A3","layer":1},{"info":"NaN⊴⫖↰⪸-13A3=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"(↥(($6105$/$7014$)∸))%((≤/($1201$⩠))⩠)","expression":"(↥((⫖↰⪸3649/⫖↰⪸4086)∸))%((≤/(⫖↰⪸841⩠))⩠)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":218,"operation_count":7,"complexity_ratio":31.142857142857142,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6105,"base":12},"right_expr":{"type":"numeric_atoms","value":7014,"base":12}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1201,"base":12}}}}},"used_operators":["k8jYdgA6NY","A8NUZmVepG","o20kRiQErp","XhwjNDsVaA","sJAwomhLZr","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","tmPS8pqC7x","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z"],"result":"⫖↰⪸-B9B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6105","layer":4},{"info":"number node, value=7014","layer":4},{"info":"compute binary expreesion, left_input=6105, right_input=7014, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":1},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute unary expreesion, input=484, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-1727","layer":1},{"info":"compute binary expreesion, left_input=24, right_input=-1727, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1703","layer":0}],"base":12,"result_base":12,"text":"(↥((⫖↰⪸3649/⫖↰⪸4086)∸))%((≤/(⫖↰⪸841⩠))⩠)=⫖↰⪸-B9B","reverse_text":"⫖↰⪸-B9B=(↥((⫖↰⪸3649/⫖↰⪸4086)∸))%((≤/(⫖↰⪸841⩠))⩠)","cot":[{"info":"⫖↰⪸3649/⫖↰⪸4086=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∸=⫖↰⪸129","layer":2},{"info":"↥⫖↰⪸129=⫖↰⪸20","layer":1},{"info":"⫖↰⪸841⩠=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":2},{"info":"⫖↰⪸344⩠=⫖↰⪸-BBB","layer":1},{"info":"⫖↰⪸20%⫖↰⪸-BBB=⫖↰⪸-B9B","layer":0}]}
{"id":885,"expression_no_base_symbol":"($3685$⨓$1739$⫡⨏$1921$⪮%⊝$2394$⪨≂(⨰⫟⨤$4337$)⪄$2845$⋝⋈⪟$2515$)⩠","expression":"(⫖↰⪸2171⨓⫖↰⪸100B⫡⨏⫖↰⪸1141⪮%⊝⫖↰⪸1476⪨≂(⨰⫟⨤⫖↰⪸2615)⪄⫖↰⪸1791⋝⋈⪟⫖↰⪸1557)⩠","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18316,"operation_count":8,"complexity_ratio":2289.5,"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":3685,"base":12},"right_expr":{"type":"numeric_atoms","value":1739,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1921,"base":12},"right_expr":{"type":"numeric_atoms","value":2394,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4337,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2845,"base":12},"right_expr":{"type":"numeric_atoms","value":2515,"base":12}}}}},"used_operators":["sJAwomhLZr","sdazOOVcIp","QMFrweE19q","3ViojmjbAp","IWmyXbctLI","SUmda5xLS4","Tw270M8GLb","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸14609","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3685","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=1739, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1742","layer":3},{"info":"number node, value=1921","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=2394, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4158","layer":3},{"info":"compute binary expreesion, left_input=-1742, right_input=4158, 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=389","layer":2},{"info":"number node, value=4337","layer":4},{"info":"compute unary expreesion, input=4337, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2845","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=2515, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2845","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2845, 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=389, right_input=3979, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7078","layer":1},{"info":"compute unary expreesion, input=-7078, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=28521","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2171⨓⫖↰⪸100B⫡⨏⫖↰⪸1141⪮%⊝⫖↰⪸1476⪨≂(⨰⫟⨤⫖↰⪸2615)⪄⫖↰⪸1791⋝⋈⪟⫖↰⪸1557)⩠=⫖↰⪸14609","reverse_text":"⫖↰⪸14609=(⫖↰⪸2171⨓⫖↰⪸100B⫡⨏⫖↰⪸1141⪮%⊝⫖↰⪸1476⪨≂(⨰⫟⨤⫖↰⪸2615)⪄⫖↰⪸1791⋝⋈⪟⫖↰⪸1557)⩠","cot":[{"info":"⫖↰⪸2171⨓⫖↰⪸100B=⫖↰⪸-1012","layer":3},{"info":"⫖↰⪸1141⪮%⊝⫖↰⪸1476=⫖↰⪸24A6","layer":3},{"info":"⫖↰⪸-1012⫡⨏⫖↰⪸24A6=⫖↰⪸285","layer":2},{"info":"⨰⫟⨤⫖↰⪸2615=NaN","layer":3},{"info":"⫖↰⪸1791⋝⋈⪟⫖↰⪸1557=⫖↰⪸1791","layer":3},{"info":"NaN⪄⫖↰⪸1791=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸285⪨≂⫖↰⪸2377=⫖↰⪸-411A","layer":1},{"info":"⫖↰⪸-411A⩠=⫖↰⪸14609","layer":0}]}
{"id":886,"expression_no_base_symbol":"((⇁⨣⪵$1538$)∸)∑⇟⊟($5807$∑⇟⊟$1853$≧⫂∧($2012$+⇶⊼$3079$))↪⪝","expression":"((⇁⨣⪵⫖↰⪸A82)∸)∑⇟⊟(⫖↰⪸343B∑⇟⊟⫖↰⪸10A5≧⫂∧(⫖↰⪸11B8+⇶⊼⫖↰⪸1947))↪⪝","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":187,"operation_count":7,"complexity_ratio":26.714285714285715,"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":1538,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5807,"base":12},"right_expr":{"type":"numeric_atoms","value":1853,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2012,"base":12},"right_expr":{"type":"numeric_atoms","value":3079,"base":12}}}}},"used_operators":["l07mrZUIn9","U7g4x0WXJJ","o20kRiQErp","inkyxCbjAn","Ph9nP6C5qx","TpPTUOHfaN"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=5807","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=5807, right_input=1853, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2012","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=3079, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute 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":"((⇁⨣⪵⫖↰⪸A82)∸)∑⇟⊟(⫖↰⪸343B∑⇟⊟⫖↰⪸10A5≧⫂∧(⫖↰⪸11B8+⇶⊼⫖↰⪸1947))↪⪝=NaN","reverse_text":"NaN=((⇁⨣⪵⫖↰⪸A82)∸)∑⇟⊟(⫖↰⪸343B∑⇟⊟⫖↰⪸10A5≧⫂∧(⫖↰⪸11B8+⇶⊼⫖↰⪸1947))↪⪝","cot":[{"info":"⇁⨣⪵⫖↰⪸A82=NaN","layer":3},{"info":"NaN∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸343B∑⇟⊟⫖↰⪸10A5=NaN","layer":3},{"info":"⫖↰⪸11B8+⇶⊼⫖↰⪸1947=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⫖↰⪸129∑⇟⊟NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"((⊙↵-($1061$⩷∴$9569$))%$1679$+⇶⊼$4177$⫥∨⫟($4789$∲⫓$2233$))↬((⫛⫱⨽($5833$⊠≄⫣))⩨($2827$⊉≛↸$5861$⩨$2500$⫸⊐$4811$))","expression":"((⊙↵-(⫖↰⪸745⩷∴⫖↰⪸5655))%⫖↰⪸B7B+⇶⊼⫖↰⪸2501⫥∨⫟(⫖↰⪸2931∲⫓⫖↰⪸1361))↬((⫛⫱⨽(⫖↰⪸3461⊠≄⫣))⩨(⫖↰⪸1777⊉≛↸⫖↰⪸3485⩨⫖↰⪸1544⫸⊐⫖↰⪸294B))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18196,"operation_count":13,"complexity_ratio":1399.6923076923076,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":9569,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1679,"base":12},"right_expr":{"type":"numeric_atoms","value":4177,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4789,"base":12},"right_expr":{"type":"numeric_atoms","value":2233,"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":2827,"base":12},"right_expr":{"type":"numeric_atoms","value":5861,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2500,"base":12},"right_expr":{"type":"numeric_atoms","value":4811,"base":12}}}}},"used_operators":["B5M0gjZbta","k8jYdgA6NY","oWn0xqSxBt","9FxExcQeMw","KYD54nUTWz","TpPTUOHfaN","i8ToyICDmI","2DlMacCsIx","DlLNRPXxWL","DIvbN7qnHd","DZ8iAZOCBD","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"number node, value=9569","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=9569, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-17048","layer":3},{"info":"compute unary expreesion, input=-17048, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1679","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=4177, 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=4789","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=4789, right_input=2233, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5833","layer":4},{"info":"compute unary expreesion, input=5833, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2827","layer":4},{"info":"number node, value=5861","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=5861, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5654","layer":3},{"info":"number node, value=2500","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=4811, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19119","layer":3},{"info":"compute binary expreesion, left_input=5654, right_input=19119, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-9, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"((⊙↵-(⫖↰⪸745⩷∴⫖↰⪸5655))%⫖↰⪸B7B+⇶⊼⫖↰⪸2501⫥∨⫟(⫖↰⪸2931∲⫓⫖↰⪸1361))↬((⫛⫱⨽(⫖↰⪸3461⊠≄⫣))⩨(⫖↰⪸1777⊉≛↸⫖↰⪸3485⩨⫖↰⪸1544⫸⊐⫖↰⪸294B))=NaN","reverse_text":"NaN=((⊙↵-(⫖↰⪸745⩷∴⫖↰⪸5655))%⫖↰⪸B7B+⇶⊼⫖↰⪸2501⫥∨⫟(⫖↰⪸2931∲⫓⫖↰⪸1361))↬((⫛⫱⨽(⫖↰⪸3461⊠≄⫣))⩨(⫖↰⪸1777⊉≛↸⫖↰⪸3485⩨⫖↰⪸1544⫸⊐⫖↰⪸294B))","cot":[{"info":"⫖↰⪸745⩷∴⫖↰⪸5655=⫖↰⪸-9A48","layer":3},{"info":"⊙↵-⫖↰⪸-9A48=⫖↰⪸144","layer":2},{"info":"⫖↰⪸B7B+⇶⊼⫖↰⪸2501=NaN","layer":3},{"info":"⫖↰⪸2931∲⫓⫖↰⪸1361=⫖↰⪸0","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸144%NaN=NaN","layer":1},{"info":"⫖↰⪸3461⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫛⫱⨽⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1777⊉≛↸⫖↰⪸3485=⫖↰⪸3332","layer":3},{"info":"⫖↰⪸1544⫸⊐⫖↰⪸294B=⫖↰⪸B093","layer":3},{"info":"⫖↰⪸3332⩨⫖↰⪸B093=⫖↰⪸-9","layer":2},{"info":"⫖↰⪸0⩨⫖↰⪸-9=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(($1743$≭$3128$⪠⩆⊳)⊉≛↸(⨵≀≌$1168$≧⫂∧$3209$))⨽(($3630$⊉≛↸$4374$⨵⪆$5579$⪘⫢$2232$)*($4584$⋷$1365$)⨪↰⇹($2406$∧))","expression":"((⫖↰⪸1013≭⫖↰⪸1988⪠⩆⊳)⊉≛↸(⨵≀≌⫖↰⪸814≧⫂∧⫖↰⪸1A35))⨽((⫖↰⪸2126⊉≛↸⫖↰⪸2646⨵⪆⫖↰⪸328B⪘⫢⫖↰⪸1360)*(⫖↰⪸27A0⋷⫖↰⪸959)⨪↰⇹(⫖↰⪸1486∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2064,"operation_count":13,"complexity_ratio":158.76923076923077,"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":1743,"base":12},"right_expr":{"type":"numeric_atoms","value":3128,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1168,"base":12},"right_expr":{"type":"numeric_atoms","value":3209,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3630,"base":12},"right_expr":{"type":"numeric_atoms","value":4374,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5579,"base":12},"right_expr":{"type":"numeric_atoms","value":2232,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4584,"base":12},"right_expr":{"type":"numeric_atoms","value":1365,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2406,"base":12}}}}},"used_operators":["8HhzD0ZcuI","DZ8iAZOCBD","JLbD19bQDL","rxpJgHHUmx","srAu1WTS94","Ph9nP6C5qx","9HNa5Wba9A","2DQ55sFlQl","oacrs7FA3X","tmPS8pqC7x","23Mk6UjR3U","z63VuFQld9"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=3128, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=3209, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2736","layer":3},{"info":"compute unary expreesion, input=2736, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8208","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8208, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3630","layer":4},{"info":"number node, value=4374","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=4374, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7260","layer":3},{"info":"number node, value=5579","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=5579, right_input=2232, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11034","layer":3},{"info":"compute binary expreesion, left_input=7260, right_input=11034, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4584","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=4584, right_input=1365, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1854","layer":3},{"info":"number node, value=2406","layer":4},{"info":"compute unary expreesion, input=2406, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1854, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-1854","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1854, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-296640","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-296640, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1013≭⫖↰⪸1988⪠⩆⊳)⊉≛↸(⨵≀≌⫖↰⪸814≧⫂∧⫖↰⪸1A35))⨽((⫖↰⪸2126⊉≛↸⫖↰⪸2646⨵⪆⫖↰⪸328B⪘⫢⫖↰⪸1360)*(⫖↰⪸27A0⋷⫖↰⪸959)⨪↰⇹(⫖↰⪸1486∧))=NaN","reverse_text":"NaN=((⫖↰⪸1013≭⫖↰⪸1988⪠⩆⊳)⊉≛↸(⨵≀≌⫖↰⪸814≧⫂∧⫖↰⪸1A35))⨽((⫖↰⪸2126⊉≛↸⫖↰⪸2646⨵⪆⫖↰⪸328B⪘⫢⫖↰⪸1360)*(⫖↰⪸27A0⋷⫖↰⪸959)⨪↰⇹(⫖↰⪸1486∧))","cot":[{"info":"⫖↰⪸1013≭⫖↰⪸1988=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫖↰⪸814≧⫂∧⫖↰⪸1A35=⫖↰⪸1700","layer":3},{"info":"⨵≀≌⫖↰⪸1700=⫖↰⪸-4900","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-4900=NaN","layer":1},{"info":"⫖↰⪸2126⊉≛↸⫖↰⪸2646=⫖↰⪸4250","layer":3},{"info":"⫖↰⪸328B⪘⫢⫖↰⪸1360=⫖↰⪸6476","layer":3},{"info":"⫖↰⪸4250⨵⪆⫖↰⪸6476=⫖↰⪸114","layer":2},{"info":"⫖↰⪸27A0⋷⫖↰⪸959=⫖↰⪸-10A6","layer":3},{"info":"⫖↰⪸1486∧=NaN","layer":3},{"info":"⫖↰⪸-10A6⨪↰⇹NaN=⫖↰⪸-10A6","layer":2},{"info":"⫖↰⪸114*⫖↰⪸-10A6=⫖↰⪸-123800","layer":1},{"info":"NaN⨽⫖↰⪸-123800=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"((⨑⩽⪐($7021$-$2013$))⪨≂(($1645$↬$3266$)∧))⪢((⊙↵-($1529$↙$1379$))⪨≂($1487$≎⊠⪸$1141$)⊴($2473$↺$1700$))","expression":"((⨑⩽⪐(⫖↰⪸4091-⫖↰⪸11B9))⪨≂((⫖↰⪸B51↬⫖↰⪸1A82)∧))⪢((⊙↵-(⫖↰⪸A75↙⫖↰⪸96B))⪨≂(⫖↰⪸A3B≎⊠⪸⫖↰⪸7B1)⊴(⫖↰⪸1521↺⫖↰⪸B98))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18869,"operation_count":12,"complexity_ratio":1572.4166666666667,"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":7021,"base":12},"right_expr":{"type":"numeric_atoms","value":2013,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1645,"base":12},"right_expr":{"type":"numeric_atoms","value":3266,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1529,"base":12},"right_expr":{"type":"numeric_atoms","value":1379,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1487,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2473,"base":12},"right_expr":{"type":"numeric_atoms","value":1700,"base":12}}}}},"used_operators":["dWAJyo7jo9","sdazOOVcIp","AF7qkfDlqP","rysDP5nf3Z","z63VuFQld9","B5M0gjZbta","oWn0xqSxBt","yyfyN0ffXY","Nsiff2A1zJ","bJkvcejdHO","7j4O788W3g"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7021","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=7021, right_input=2013, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5008","layer":3},{"info":"compute unary expreesion, input=5008, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4735","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=3266, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=-4735, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1529","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1379, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4137","layer":3},{"info":"compute unary expreesion, input=-4137, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1487","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=1141, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=384660","layer":3},{"info":"number node, value=2473","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=1700, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1700","layer":3},{"info":"compute binary expreesion, left_input=384660, right_input=1700, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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":"((⨑⩽⪐(⫖↰⪸4091-⫖↰⪸11B9))⪨≂((⫖↰⪸B51↬⫖↰⪸1A82)∧))⪢((⊙↵-(⫖↰⪸A75↙⫖↰⪸96B))⪨≂(⫖↰⪸A3B≎⊠⪸⫖↰⪸7B1)⊴(⫖↰⪸1521↺⫖↰⪸B98))=NaN","reverse_text":"NaN=((⨑⩽⪐(⫖↰⪸4091-⫖↰⪸11B9))⪨≂((⫖↰⪸B51↬⫖↰⪸1A82)∧))⪢((⊙↵-(⫖↰⪸A75↙⫖↰⪸96B))⪨≂(⫖↰⪸A3B≎⊠⪸⫖↰⪸7B1)⊴(⫖↰⪸1521↺⫖↰⪸B98))","cot":[{"info":"⫖↰⪸4091-⫖↰⪸11B9=⫖↰⪸2A94","layer":3},{"info":"⨑⩽⪐⫖↰⪸2A94=⫖↰⪸-28A7","layer":2},{"info":"⫖↰⪸B51↬⫖↰⪸1A82=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫖↰⪸-28A7⪨≂NaN=NaN","layer":1},{"info":"⫖↰⪸A75↙⫖↰⪸96B=⫖↰⪸-2489","layer":3},{"info":"⊙↵-⫖↰⪸-2489=⫖↰⪸144","layer":2},{"info":"⫖↰⪸A3B≎⊠⪸⫖↰⪸7B1=⫖↰⪸166730","layer":3},{"info":"⫖↰⪸1521↺⫖↰⪸B98=⫖↰⪸B98","layer":3},{"info":"⫖↰⪸166730⊴⫖↰⪸B98=NaN","layer":2},{"info":"⫖↰⪸144⪨≂NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"(($2903$⊭↱$7042$)↺(⊥$4040$)≣⋋)⨐⩸⫘(($1992$%$2637$)⨓(⨞⊢$1051$)↙((↩$4232$)⨵⪆$2601$⪄$1013$))","expression":"((⫖↰⪸181B⊭↱⫖↰⪸40AA)↺(⊥⫖↰⪸2408)≣⋋)⨐⩸⫘((⫖↰⪸11A0%⫖↰⪸1639)⨓(⨞⊢⫖↰⪸737)↙((↩⫖↰⪸2548)⨵⪆⫖↰⪸1609⪄⫖↰⪸705))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1361,"operation_count":12,"complexity_ratio":113.41666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2903,"base":12},"right_expr":{"type":"numeric_atoms","value":7042,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4040,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1992,"base":12},"right_expr":{"type":"numeric_atoms","value":2637,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1051,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4232,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2601,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}}}}},"used_operators":["fu6greOZ01","Tcnh7f0tEr","7j4O788W3g","COABgblf1C","Q3PJZHRvZv","yyfyN0ffXY","3ViojmjbAp","k8jYdgA6NY","xUOZtlo3hN","2DQ55sFlQl","jLgFTUHLKL","SUmda5xLS4"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2903","layer":4},{"info":"number node, value=7042","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=7042, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8283","layer":3},{"info":"number node, value=4040","layer":4},{"info":"compute unary expreesion, input=4040, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8283, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"number node, value=1992","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=2637, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1992","layer":3},{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1225","layer":3},{"info":"compute binary expreesion, left_input=1992, right_input=-1225, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1228","layer":2},{"info":"number node, value=4232","layer":4},{"info":"compute unary expreesion, input=4232, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31076","layer":3},{"info":"number node, value=2601","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=1013, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-385089","layer":3},{"info":"compute binary expreesion, left_input=-31076, right_input=-385089, 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=-1228, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1228","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1228, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸181B⊭↱⫖↰⪸40AA)↺(⊥⫖↰⪸2408)≣⋋)⨐⩸⫘((⫖↰⪸11A0%⫖↰⪸1639)⨓(⨞⊢⫖↰⪸737)↙((↩⫖↰⪸2548)⨵⪆⫖↰⪸1609⪄⫖↰⪸705))=NaN","reverse_text":"NaN=((⫖↰⪸181B⊭↱⫖↰⪸40AA)↺(⊥⫖↰⪸2408)≣⋋)⨐⩸⫘((⫖↰⪸11A0%⫖↰⪸1639)⨓(⨞⊢⫖↰⪸737)↙((↩⫖↰⪸2548)⨵⪆⫖↰⪸1609⪄⫖↰⪸705))","cot":[{"info":"⫖↰⪸181B⊭↱⫖↰⪸40AA=⫖↰⪸4963","layer":3},{"info":"⊥⫖↰⪸2408=NaN","layer":3},{"info":"⫖↰⪸4963↺NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⫖↰⪸11A0%⫖↰⪸1639=⫖↰⪸11A0","layer":3},{"info":"⨞⊢⫖↰⪸737=⫖↰⪸-861","layer":3},{"info":"⫖↰⪸11A0⨓⫖↰⪸-861=⫖↰⪸-864","layer":2},{"info":"↩⫖↰⪸2548=⫖↰⪸-15B98","layer":3},{"info":"⫖↰⪸1609⪄⫖↰⪸705=⫖↰⪸-166A29","layer":3},{"info":"⫖↰⪸-15B98⨵⪆⫖↰⪸-166A29=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-864↙⫖↰⪸114=⫖↰⪸-864","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸-864=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"($5239$⋳⪒$2997$)∀⇚≩($5554$%$7804$)⩷∴($5670$⋓$2541$↪⪝)⪄$1305$≧⫂∧$4897$⋝⋈⪟($2215$⩷∴$6714$)⨐⩸⫘($2717$⩤)⨟⋌⩍($4635$⩤)","expression":"(⫖↰⪸3047⋳⪒⫖↰⪸1899)∀⇚≩(⫖↰⪸326A%⫖↰⪸4624)⩷∴(⫖↰⪸3346⋓⫖↰⪸1579↪⪝)⪄⫖↰⪸909≧⫂∧⫖↰⪸2A01⋝⋈⪟(⫖↰⪸1347⩷∴⫖↰⪸3A76)⨐⩸⫘(⫖↰⪸16A5⩤)⨟⋌⩍(⫖↰⪸2823⩤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50425,"operation_count":14,"complexity_ratio":3601.785714285714,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5239,"base":12},"right_expr":{"type":"numeric_atoms","value":2997,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5554,"base":12},"right_expr":{"type":"numeric_atoms","value":7804,"base":12}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5670,"base":12},"right_expr":{"type":"numeric_atoms","value":2541,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1305,"base":12},"right_expr":{"type":"numeric_atoms","value":4897,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2215,"base":12},"right_expr":{"type":"numeric_atoms","value":6714,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2717,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4635,"base":12}}}}},"used_operators":["SUmda5xLS4","9FxExcQeMw","LRNGc0VcxI","12rbrZMWeM","k8jYdgA6NY","l07mrZUIn9","T2fj7uvVaJ","fu6greOZ01","2DDjHMKMc0","Ph9nP6C5qx","rGHVDoGpnC","Z2TMIBDE3Q"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5239","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=2997, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7194","layer":3},{"info":"number node, value=5554","layer":4},{"info":"number node, value=7804","layer":4},{"info":"compute binary expreesion, left_input=5554, right_input=7804, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5554","layer":3},{"info":"compute binary expreesion, left_input=7194, right_input=5554, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5670","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=5670, right_input=2541, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1305","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=4897, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4424","layer":3},{"info":"number node, value=2215","layer":4},{"info":"number node, value=6714","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=6714, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9030","layer":3},{"info":"compute binary expreesion, left_input=4424, right_input=-9030, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4424","layer":2},{"info":"number node, value=2717","layer":4},{"info":"compute unary expreesion, input=2717, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2717","layer":3},{"info":"number node, value=4635","layer":4},{"info":"compute unary expreesion, input=4635, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4635","layer":3},{"info":"compute binary expreesion, left_input=-2717, right_input=-4635, 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=4424, 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 = 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":"(⫖↰⪸3047⋳⪒⫖↰⪸1899)∀⇚≩(⫖↰⪸326A%⫖↰⪸4624)⩷∴(⫖↰⪸3346⋓⫖↰⪸1579↪⪝)⪄⫖↰⪸909≧⫂∧⫖↰⪸2A01⋝⋈⪟(⫖↰⪸1347⩷∴⫖↰⪸3A76)⨐⩸⫘(⫖↰⪸16A5⩤)⨟⋌⩍(⫖↰⪸2823⩤)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸3047⋳⪒⫖↰⪸1899)∀⇚≩(⫖↰⪸326A%⫖↰⪸4624)⩷∴(⫖↰⪸3346⋓⫖↰⪸1579↪⪝)⪄⫖↰⪸909≧⫂∧⫖↰⪸2A01⋝⋈⪟(⫖↰⪸1347⩷∴⫖↰⪸3A76)⨐⩸⫘(⫖↰⪸16A5⩤)⨟⋌⩍(⫖↰⪸2823⩤)","cot":[{"info":"⫖↰⪸3047⋳⪒⫖↰⪸1899=⫖↰⪸41B6","layer":3},{"info":"⫖↰⪸326A%⫖↰⪸4624=⫖↰⪸326A","layer":3},{"info":"⫖↰⪸41B6∀⇚≩⫖↰⪸326A=NaN","layer":2},{"info":"⫖↰⪸3346⋓⫖↰⪸1579=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0↪⪝=⫖↰⪸0","layer":2},{"info":"NaN⩷∴⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸909≧⫂∧⫖↰⪸2A01=⫖↰⪸2688","layer":3},{"info":"⫖↰⪸1347⩷∴⫖↰⪸3A76=⫖↰⪸-5286","layer":3},{"info":"⫖↰⪸2688⋝⋈⪟⫖↰⪸-5286=⫖↰⪸2688","layer":2},{"info":"⫖↰⪸16A5⩤=⫖↰⪸-16A5","layer":3},{"info":"⫖↰⪸2823⩤=⫖↰⪸-2823","layer":3},{"info":"⫖↰⪸-16A5⨟⋌⩍⫖↰⪸-2823=NaN","layer":2},{"info":"⫖↰⪸2688⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":892,"expression_no_base_symbol":"↔(($1028$⨵⪆$5341$)⋥≓≎(⊙↵-$1052$)+($2474$≹⇙⪍$2809$⫡⨏(↽≂$1716$)))","expression":"↔((⫖↰⪸718⨵⪆⫖↰⪸3111)⋥≓≎(⊙↵-⫖↰⪸738)+(⫖↰⪸1522≹⇙⪍⫖↰⪸1761⫡⨏(↽≂⫖↰⪸BB0)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1137,"operation_count":8,"complexity_ratio":142.125,"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":1028,"base":12},"right_expr":{"type":"numeric_atoms","value":5341,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1052,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2474,"base":12},"right_expr":{"type":"numeric_atoms","value":2809,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1716,"base":12}}}}},"used_operators":["ruOEQAzv1W","W4YGzv6Whe","Qy55tPpLXF","2DQ55sFlQl","oWn0xqSxBt","QMFrweE19q","AHs5Up7iyr","u6S6b8DprG"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=5341, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-129","layer":2},{"info":"number node, value=2474","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=2809, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1716","layer":4},{"info":"compute unary expreesion, input=1716, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3432, 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=-129, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"↔((⫖↰⪸718⨵⪆⫖↰⪸3111)⋥≓≎(⊙↵-⫖↰⪸738)+(⫖↰⪸1522≹⇙⪍⫖↰⪸1761⫡⨏(↽≂⫖↰⪸BB0)))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔((⫖↰⪸718⨵⪆⫖↰⪸3111)⋥≓≎(⊙↵-⫖↰⪸738)+(⫖↰⪸1522≹⇙⪍⫖↰⪸1761⫡⨏(↽≂⫖↰⪸BB0)))","cot":[{"info":"⫖↰⪸718⨵⪆⫖↰⪸3111=⫖↰⪸114","layer":3},{"info":"⊙↵-⫖↰⪸738=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸114⋥≓≎⫖↰⪸-1=⫖↰⪸-A9","layer":2},{"info":"⫖↰⪸1522≹⇙⪍⫖↰⪸1761=NaN","layer":3},{"info":"↽≂⫖↰⪸BB0=⫖↰⪸-1BA0","layer":3},{"info":"NaN⫡⨏⫖↰⪸-1BA0=NaN","layer":2},{"info":"⫖↰⪸-A9+NaN=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":893,"expression_no_base_symbol":"(($1153$≦≮≮)⊴($4627$⪄$2203$)⪐)-$3072$∀⇚≩$3783$⩷∴($2751$↺$3316$)-(≉(∂$4594$))","expression":"((⫖↰⪸801≦≮≮)⊴(⫖↰⪸2817⪄⫖↰⪸1337)⪐)-⫖↰⪸1940∀⇚≩⫖↰⪸2233⩷∴(⫖↰⪸1713↺⫖↰⪸1B04)-(≉(∂⫖↰⪸27AA))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":711319,"operation_count":11,"complexity_ratio":64665.36363636364,"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":1153,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4627,"base":12},"right_expr":{"type":"numeric_atoms","value":2203,"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":3783,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2751,"base":12},"right_expr":{"type":"numeric_atoms","value":3316,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4594,"base":12}}}}},"used_operators":["rysDP5nf3Z","eH2TOUuTDT","Nsiff2A1zJ","D4vGDi5EA2","SUmda5xLS4","9FxExcQeMw","LRNGc0VcxI","7j4O788W3g","e1ybzncUwg","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3459","layer":3},{"info":"number node, value=4627","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=2203, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-689697","layer":3},{"info":"compute binary expreesion, left_input=-3459, right_input=-689697, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=3072","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=3783, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2751","layer":4},{"info":"number node, value=3316","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=3316, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3316, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4594","layer":4},{"info":"compute unary expreesion, input=4594, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸801≦≮≮)⊴(⫖↰⪸2817⪄⫖↰⪸1337)⪐)-⫖↰⪸1940∀⇚≩⫖↰⪸2233⩷∴(⫖↰⪸1713↺⫖↰⪸1B04)-(≉(∂⫖↰⪸27AA))=NaN","reverse_text":"NaN=((⫖↰⪸801≦≮≮)⊴(⫖↰⪸2817⪄⫖↰⪸1337)⪐)-⫖↰⪸1940∀⇚≩⫖↰⪸2233⩷∴(⫖↰⪸1713↺⫖↰⪸1B04)-(≉(∂⫖↰⪸27AA))","cot":[{"info":"⫖↰⪸801≦≮≮=⫖↰⪸-2003","layer":3},{"info":"⫖↰⪸2817⪄⫖↰⪸1337=⫖↰⪸-293169","layer":3},{"info":"⫖↰⪸-2003⊴⫖↰⪸-293169=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⫖↰⪸1940∀⇚≩⫖↰⪸2233=NaN","layer":3},{"info":"⫖↰⪸1713↺⫖↰⪸1B04=⫖↰⪸1B04","layer":3},{"info":"NaN⩷∴⫖↰⪸1B04=NaN","layer":2},{"info":"∂⫖↰⪸27AA=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"(⨰⫟⨤(($2370$*$3281$)⫥∨⫟($2667$⋥≓≎$2237$)))⩷∴(($3749$⩨$1361$)≎⊠⪸$3455$∀⇚≩$1185$)⨟⋌⩍(($5647$⩠)⇋≉)","expression":"(⨰⫟⨤((⫖↰⪸1456*⫖↰⪸1A95)⫥∨⫟(⫖↰⪸1663⋥≓≎⫖↰⪸1365)))⩷∴((⫖↰⪸2205⩨⫖↰⪸955)≎⊠⪸⫖↰⪸1BBB∀⇚≩⫖↰⪸829)⨟⋌⩍((⫖↰⪸3327⩠)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27242,"operation_count":11,"complexity_ratio":2476.5454545454545,"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":2370,"base":12},"right_expr":{"type":"numeric_atoms","value":3281,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2667,"base":12},"right_expr":{"type":"numeric_atoms","value":2237,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3749,"base":12},"right_expr":{"type":"numeric_atoms","value":1361,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3455,"base":12},"right_expr":{"type":"numeric_atoms","value":1185,"base":12}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5647,"base":12}}}}},"used_operators":["9FxExcQeMw","Tw270M8GLb","KYD54nUTWz","9HNa5Wba9A","Qy55tPpLXF","rGHVDoGpnC","bJkvcejdHO","2DlMacCsIx","LRNGc0VcxI","XIabStNQrY","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=3281, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7775970","layer":3},{"info":"number node, value=2667","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=2237, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1840","layer":3},{"info":"compute binary expreesion, left_input=7775970, right_input=1840, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3749","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=1361, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3455","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=3455, right_input=1185, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=5647","layer":4},{"info":"compute unary expreesion, input=5647, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-98, 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=nan, right_input=0, 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":"(⨰⫟⨤((⫖↰⪸1456*⫖↰⪸1A95)⫥∨⫟(⫖↰⪸1663⋥≓≎⫖↰⪸1365)))⩷∴((⫖↰⪸2205⩨⫖↰⪸955)≎⊠⪸⫖↰⪸1BBB∀⇚≩⫖↰⪸829)⨟⋌⩍((⫖↰⪸3327⩠)⇋≉)=NaN","reverse_text":"NaN=(⨰⫟⨤((⫖↰⪸1456*⫖↰⪸1A95)⫥∨⫟(⫖↰⪸1663⋥≓≎⫖↰⪸1365)))⩷∴((⫖↰⪸2205⩨⫖↰⪸955)≎⊠⪸⫖↰⪸1BBB∀⇚≩⫖↰⪸829)⨟⋌⩍((⫖↰⪸3327⩠)⇋≉)","cot":[{"info":"⫖↰⪸1456*⫖↰⪸1A95=⫖↰⪸272BB96","layer":3},{"info":"⫖↰⪸1663⋥≓≎⫖↰⪸1365=⫖↰⪸1094","layer":3},{"info":"⫖↰⪸272BB96⫥∨⫟⫖↰⪸1094=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫖↰⪸2205⩨⫖↰⪸955=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1BBB∀⇚≩⫖↰⪸829=NaN","layer":3},{"info":"⫖↰⪸0≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸3327⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":2},{"info":"⫖↰⪸57⨟⋌⩍⫖↰⪸-82=⫖↰⪸0","layer":1},{"info":"NaN⩷∴⫖↰⪸0=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"⩦⩻⨪(≤/$2525$⋳⪒$2074$)⫥∨⫟($4601$⊴$2572$⨐⩸⫘($1350$⊭↱$1606$))","expression":"⩦⩻⨪(≤/⫖↰⪸1565⋳⪒⫖↰⪸124A)⫥∨⫟(⫖↰⪸27B5⊴⫖↰⪸15A4⨐⩸⫘(⫖↰⪸946⊭↱⫖↰⪸B1A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":282237,"operation_count":7,"complexity_ratio":40319.57142857143,"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":2525,"base":12},"right_expr":{"type":"numeric_atoms","value":2074,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4601,"base":12},"right_expr":{"type":"numeric_atoms","value":2572,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1350,"base":12},"right_expr":{"type":"numeric_atoms","value":1606,"base":12}}}}},"used_operators":["2td37pGCOC","KYD54nUTWz","eLAdDNolq6","12rbrZMWeM","fu6greOZ01","Nsiff2A1zJ","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2525","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=2074, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2689","layer":3},{"info":"compute unary expreesion, input=2689, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2205","layer":2},{"info":"number node, value=4601","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=4601, right_input=2572, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1350","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=1606, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=517","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=517, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-520","layer":2},{"info":"compute binary expreesion, left_input=-2205, right_input=-520, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(≤/⫖↰⪸1565⋳⪒⫖↰⪸124A)⫥∨⫟(⫖↰⪸27B5⊴⫖↰⪸15A4⨐⩸⫘(⫖↰⪸946⊭↱⫖↰⪸B1A))=NaN","reverse_text":"NaN=⩦⩻⨪(≤/⫖↰⪸1565⋳⪒⫖↰⪸124A)⫥∨⫟(⫖↰⪸27B5⊴⫖↰⪸15A4⨐⩸⫘(⫖↰⪸946⊭↱⫖↰⪸B1A))","cot":[{"info":"⫖↰⪸1565⋳⪒⫖↰⪸124A=⫖↰⪸1681","layer":3},{"info":"≤/⫖↰⪸1681=⫖↰⪸-1339","layer":2},{"info":"⫖↰⪸27B5⊴⫖↰⪸15A4=NaN","layer":3},{"info":"⫖↰⪸946⊭↱⫖↰⪸B1A=⫖↰⪸371","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸371=⫖↰⪸-374","layer":2},{"info":"⫖↰⪸-1339⫥∨⫟⫖↰⪸-374=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"((⊙↵-(↩$2557$))⋳⪒(⇁⨣⪵$5522$)⨰($1606$+$5067$))⩷∴((⨈⫕($1769$%$7345$))⩷∴(($1479$⩤)≣⋋))","expression":"((⊙↵-(↩⫖↰⪸1591))⋳⪒(⇁⨣⪵⫖↰⪸3242)⨰(⫖↰⪸B1A+⫖↰⪸2B23))⩷∴((⨈⫕(⫖↰⪸1035%⫖↰⪸4301))⩷∴((⫖↰⪸A33⩤)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18653,"operation_count":12,"complexity_ratio":1554.4166666666667,"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":2557,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5522,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1606,"base":12},"right_expr":{"type":"numeric_atoms","value":5067,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1769,"base":12},"right_expr":{"type":"numeric_atoms","value":7345,"base":12}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1479,"base":12}}}}},"used_operators":["9FxExcQeMw","12rbrZMWeM","oWn0xqSxBt","jLgFTUHLKL","eewbuw0ToL","inkyxCbjAn","W4YGzv6Whe","megm06wKyl","k8jYdgA6NY","Tcnh7f0tEr","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-17676","layer":3},{"info":"compute unary expreesion, input=-17676, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=5522","layer":4},{"info":"compute unary expreesion, input=5522, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1606","layer":4},{"info":"number node, value=5067","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=5067, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6673, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, 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=1769","layer":4},{"info":"number node, value=7345","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=7345, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1769","layer":3},{"info":"compute unary expreesion, input=1769, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1479","layer":3},{"info":"compute unary expreesion, input=-1479, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-74","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-74, 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":"((⊙↵-(↩⫖↰⪸1591))⋳⪒(⇁⨣⪵⫖↰⪸3242)⨰(⫖↰⪸B1A+⫖↰⪸2B23))⩷∴((⨈⫕(⫖↰⪸1035%⫖↰⪸4301))⩷∴((⫖↰⪸A33⩤)≣⋋))=NaN","reverse_text":"NaN=((⊙↵-(↩⫖↰⪸1591))⋳⪒(⇁⨣⪵⫖↰⪸3242)⨰(⫖↰⪸B1A+⫖↰⪸2B23))⩷∴((⨈⫕(⫖↰⪸1035%⫖↰⪸4301))⩷∴((⫖↰⪸A33⩤)≣⋋))","cot":[{"info":"↩⫖↰⪸1591=⫖↰⪸-A290","layer":3},{"info":"⊙↵-⫖↰⪸-A290=⫖↰⪸144","layer":2},{"info":"⇁⨣⪵⫖↰⪸3242=NaN","layer":3},{"info":"⫖↰⪸B1A+⫖↰⪸2B23=⫖↰⪸3A41","layer":3},{"info":"NaN⨰⫖↰⪸3A41=NaN","layer":2},{"info":"⫖↰⪸144⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸1035%⫖↰⪸4301=⫖↰⪸1035","layer":3},{"info":"⨈⫕⫖↰⪸1035=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸A33⩤=⫖↰⪸-A33","layer":3},{"info":"⫖↰⪸-A33≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-19⩷∴⫖↰⪸0=⫖↰⪸-62","layer":1},{"info":"NaN⩷∴⫖↰⪸-62=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"(($5538$↙$2549$↪⪝)≭($4425$⨐⩸⫘$1713$⨵⪆$5597$⨰$8755$))⨓(∂(($3544$%$2836$)≋⫹))","expression":"((⫖↰⪸3256↙⫖↰⪸1585↪⪝)≭(⫖↰⪸2689⨐⩸⫘⫖↰⪸BA9⨵⪆⫖↰⪸32A5⨰⫖↰⪸5097))⨓(∂((⫖↰⪸2074%⫖↰⪸1784)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4840,"operation_count":10,"complexity_ratio":484.0,"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":5538,"base":12},"right_expr":{"type":"numeric_atoms","value":2549,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4425,"base":12},"right_expr":{"type":"numeric_atoms","value":1713,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5597,"base":12},"right_expr":{"type":"numeric_atoms","value":8755,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3544,"base":12},"right_expr":{"type":"numeric_atoms","value":2836,"base":12}}}}},"used_operators":["3ViojmjbAp","rxpJgHHUmx","l07mrZUIn9","yyfyN0ffXY","2DQ55sFlQl","fu6greOZ01","eewbuw0ToL","Uaa54Peajs","N41Kp7NANJ","k8jYdgA6NY"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-803","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5538","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=2549, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7647","layer":3},{"info":"compute unary expreesion, input=-7647, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-467858754","layer":2},{"info":"number node, value=4425","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=1713, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5597","layer":4},{"info":"number node, value=8755","layer":4},{"info":"compute binary expreesion, left_input=5597, right_input=8755, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3148","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3148, 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=-467858754, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3544","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=3544, right_input=2836, op_id = k8jYdgA6NY binary_op_definition= 'None', output=708","layer":3},{"info":"compute unary expreesion, input=708, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-1416","layer":2},{"info":"compute unary expreesion, input=-1416, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1152","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1152, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1155","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3256↙⫖↰⪸1585↪⪝)≭(⫖↰⪸2689⨐⩸⫘⫖↰⪸BA9⨵⪆⫖↰⪸32A5⨰⫖↰⪸5097))⨓(∂((⫖↰⪸2074%⫖↰⪸1784)≋⫹))=⫖↰⪸-803","reverse_text":"⫖↰⪸-803=((⫖↰⪸3256↙⫖↰⪸1585↪⪝)≭(⫖↰⪸2689⨐⩸⫘⫖↰⪸BA9⨵⪆⫖↰⪸32A5⨰⫖↰⪸5097))⨓(∂((⫖↰⪸2074%⫖↰⪸1784)≋⫹))","cot":[{"info":"⫖↰⪸3256↙⫖↰⪸1585=⫖↰⪸-4513","layer":3},{"info":"⫖↰⪸-4513↪⪝=⫖↰⪸-110827716","layer":2},{"info":"⫖↰⪸2689⨐⩸⫘⫖↰⪸BA9=NaN","layer":3},{"info":"⫖↰⪸32A5⨰⫖↰⪸5097=⫖↰⪸-19A4","layer":3},{"info":"NaN⨵⪆⫖↰⪸-19A4=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-110827716≭⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸2074%⫖↰⪸1784=⫖↰⪸4B0","layer":3},{"info":"⫖↰⪸4B0≋⫹=⫖↰⪸-9A0","layer":2},{"info":"∂⫖↰⪸-9A0=⫖↰⪸800","layer":1},{"info":"NaN⨓⫖↰⪸800=⫖↰⪸-803","layer":0}]}
{"id":898,"expression_no_base_symbol":"((↯⪼($5177$⊭∹↮))↺$1225$∑⇟⊟$3454$⨎($1865$⫥∨⫟$3942$))≹⇙⪍((($8353$⊦⊿)⫸⊐$2612$⨽$1245$)≦≮≮)","expression":"((↯⪼(⫖↰⪸2BB5⊭∹↮))↺⫖↰⪸861∑⇟⊟⫖↰⪸1BBA⨎(⫖↰⪸10B5⫥∨⫟⫖↰⪸2346))≹⇙⪍(((⫖↰⪸4A01⊦⊿)⫸⊐⫖↰⪸1618⨽⫖↰⪸879)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2830,"operation_count":11,"complexity_ratio":257.27272727272725,"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":5177,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1225,"base":12},"right_expr":{"type":"numeric_atoms","value":3454,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1865,"base":12},"right_expr":{"type":"numeric_atoms","value":3942,"base":12}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":8353,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2612,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}}}}},"used_operators":["AHs5Up7iyr","7j4O788W3g","8jW3W4yZS5","xNBdhnnwKq","rJVOvQCfKK","U7g4x0WXJJ","KYD54nUTWz","D4vGDi5EA2","mqXw5SEYmG","14qkJME0vr","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5177","layer":4},{"info":"compute unary expreesion, input=5177, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10354","layer":3},{"info":"compute unary expreesion, input=10354, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1225","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=3454, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1865","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=3942, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=8353","layer":4},{"info":"compute unary expreesion, input=8353, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-25138","layer":3},{"info":"number node, value=2612","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=1245, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20470053","layer":3},{"info":"compute binary expreesion, left_input=-25138, right_input=-20470053, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-2904","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2904, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((↯⪼(⫖↰⪸2BB5⊭∹↮))↺⫖↰⪸861∑⇟⊟⫖↰⪸1BBA⨎(⫖↰⪸10B5⫥∨⫟⫖↰⪸2346))≹⇙⪍(((⫖↰⪸4A01⊦⊿)⫸⊐⫖↰⪸1618⨽⫖↰⪸879)≦≮≮)=NaN","reverse_text":"NaN=((↯⪼(⫖↰⪸2BB5⊭∹↮))↺⫖↰⪸861∑⇟⊟⫖↰⪸1BBA⨎(⫖↰⪸10B5⫥∨⫟⫖↰⪸2346))≹⇙⪍(((⫖↰⪸4A01⊦⊿)⫸⊐⫖↰⪸1618⨽⫖↰⪸879)≦≮≮)","cot":[{"info":"⫖↰⪸2BB5⊭∹↮=⫖↰⪸5BAA","layer":3},{"info":"↯⪼⫖↰⪸5BAA=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸861∑⇟⊟⫖↰⪸1BBA=NaN","layer":3},{"info":"⫖↰⪸10B5⫥∨⫟⫖↰⪸2346=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⫖↰⪸-19↺NaN=NaN","layer":1},{"info":"⫖↰⪸4A01⊦⊿=⫖↰⪸-1266A","layer":3},{"info":"⫖↰⪸1618⨽⫖↰⪸879=⫖↰⪸-6A32119","layer":3},{"info":"⫖↰⪸-1266A⫸⊐⫖↰⪸-6A32119=⫖↰⪸688","layer":2},{"info":"⫖↰⪸688≦≮≮=⫖↰⪸-1820","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸-1820=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"($1412$∸)⪢($1831$⨳⩥⨓$7974$)⨰((↩$2146$)⫥∨⫟(⪲⇎$2992$))↙(($6122$⊦⊿)↙($1334$⪒$3697$))↬(($2346$⨽$1530$)≭$3069$∼$1714$)","expression":"(⫖↰⪸998∸)⪢(⫖↰⪸1087⨳⩥⨓⫖↰⪸4746)⨰((↩⫖↰⪸12AA)⫥∨⫟(⪲⇎⫖↰⪸1894))↙((⫖↰⪸3662⊦⊿)↙(⫖↰⪸932⪒⫖↰⪸2181))↬((⫖↰⪸1436⨽⫖↰⪸A76)≭⫖↰⪸1939∼⫖↰⪸BAA)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8931,"operation_count":15,"complexity_ratio":595.4,"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":1412,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1831,"base":12},"right_expr":{"type":"numeric_atoms","value":7974,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2146,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2992,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6122,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1334,"base":12},"right_expr":{"type":"numeric_atoms","value":3697,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2346,"base":12},"right_expr":{"type":"numeric_atoms","value":1530,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3069,"base":12},"right_expr":{"type":"numeric_atoms","value":1714,"base":12}}}}},"used_operators":["yyfyN0ffXY","eewbuw0ToL","dWAJyo7jo9","o20kRiQErp","nCS4ZIUYfx","KYD54nUTWz","jLgFTUHLKL","XPYlsWDdGa","B5M0gjZbta","14qkJME0vr","f6k1SAg4EE","rxpJgHHUmx","8HhzD0ZcuI","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1412","layer":4},{"info":"compute unary expreesion, input=1412, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1831","layer":4},{"info":"number node, value=7974","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=7974, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6143","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=6143, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14388","layer":3},{"info":"number node, value=2992","layer":4},{"info":"compute unary expreesion, input=2992, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5984","layer":3},{"info":"compute binary expreesion, left_input=-14388, right_input=5984, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=6122","layer":4},{"info":"compute unary expreesion, input=6122, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-18445","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=3697","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3697, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5031","layer":3},{"info":"compute binary expreesion, left_input=-18445, right_input=-5031, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18445","layer":2},{"info":"number node, value=2346","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1530, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16514424","layer":3},{"info":"number node, value=3069","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=1714, 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=-16514424, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18445, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸998∸)⪢(⫖↰⪸1087⨳⩥⨓⫖↰⪸4746)⨰((↩⫖↰⪸12AA)⫥∨⫟(⪲⇎⫖↰⪸1894))↙((⫖↰⪸3662⊦⊿)↙(⫖↰⪸932⪒⫖↰⪸2181))↬((⫖↰⪸1436⨽⫖↰⪸A76)≭⫖↰⪸1939∼⫖↰⪸BAA)=NaN","reverse_text":"NaN=(⫖↰⪸998∸)⪢(⫖↰⪸1087⨳⩥⨓⫖↰⪸4746)⨰((↩⫖↰⪸12AA)⫥∨⫟(⪲⇎⫖↰⪸1894))↙((⫖↰⪸3662⊦⊿)↙(⫖↰⪸932⪒⫖↰⪸2181))↬((⫖↰⪸1436⨽⫖↰⪸A76)≭⫖↰⪸1939∼⫖↰⪸BAA)","cot":[{"info":"⫖↰⪸998∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸1087⨳⩥⨓⫖↰⪸4746=⫖↰⪸367B","layer":3},{"info":"⫖↰⪸129⪢⫖↰⪸367B=NaN","layer":2},{"info":"↩⫖↰⪸12AA=⫖↰⪸-83B0","layer":3},{"info":"⪲⇎⫖↰⪸1894=⫖↰⪸3568","layer":3},{"info":"⫖↰⪸-83B0⫥∨⫟⫖↰⪸3568=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫖↰⪸3662⊦⊿=⫖↰⪸-A811","layer":3},{"info":"⫖↰⪸932⪒⫖↰⪸2181=⫖↰⪸-2AB3","layer":3},{"info":"⫖↰⪸-A811↙⫖↰⪸-2AB3=⫖↰⪸-A811","layer":2},{"info":"⫖↰⪸1436⨽⫖↰⪸A76=⫖↰⪸-5644B60","layer":3},{"info":"⫖↰⪸1939∼⫖↰⪸BAA=NaN","layer":3},{"info":"⫖↰⪸-5644B60≭NaN=NaN","layer":2},{"info":"⫖↰⪸-A811↬NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"(($1135$⫌⩹⨱)⫥∨⫟($3454$⨽$2205$)⪨≂(⨈⫕$1150$⩚⊴⇥$2357$))⋥≓≎($2685$≎⊠⪸$2151$)⨟⋌⩍($1957$⩨$5455$)⋝⋈⪟(⪲⇎($2765$⪨≂$6447$))","expression":"((⫖↰⪸7A7⫌⩹⨱)⫥∨⫟(⫖↰⪸1BBA⨽⫖↰⪸1339)⪨≂(⨈⫕⫖↰⪸7BA⩚⊴⇥⫖↰⪸1445))⋥≓≎(⫖↰⪸1679≎⊠⪸⫖↰⪸12B3)⨟⋌⩍(⫖↰⪸1171⩨⫖↰⪸31A7)⋝⋈⪟(⪲⇎(⫖↰⪸1725⪨≂⫖↰⪸3893))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4839,"operation_count":13,"complexity_ratio":372.2307692307692,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1135,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3454,"base":12},"right_expr":{"type":"numeric_atoms","value":2205,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1150,"base":12},"right_expr":{"type":"numeric_atoms","value":2357,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2685,"base":12},"right_expr":{"type":"numeric_atoms","value":2151,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1957,"base":12},"right_expr":{"type":"numeric_atoms","value":5455,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2765,"base":12},"right_expr":{"type":"numeric_atoms","value":6447,"base":12}}}}},"used_operators":["Qy55tPpLXF","sdazOOVcIp","KYD54nUTWz","EBcxylXtPf","8HhzD0ZcuI","megm06wKyl","NTOWxs364D","2DDjHMKMc0","rGHVDoGpnC","bJkvcejdHO","2DlMacCsIx","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3671","layer":3},{"info":"number node, value=3454","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=2205, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-35795649","layer":3},{"info":"compute binary expreesion, left_input=3671, right_input=-35795649, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1150","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=2357, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3628","layer":3},{"info":"compute unary expreesion, input=-3628, 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 = 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=2685","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=2151, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=694942","layer":3},{"info":"number node, value=1957","layer":4},{"info":"number node, value=5455","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=5455, 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=694942, right_input=-6, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=2765","layer":4},{"info":"number node, value=6447","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=6447, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7262","layer":3},{"info":"compute unary expreesion, input=-7262, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-14524","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14524, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸7A7⫌⩹⨱)⫥∨⫟(⫖↰⪸1BBA⨽⫖↰⪸1339)⪨≂(⨈⫕⫖↰⪸7BA⩚⊴⇥⫖↰⪸1445))⋥≓≎(⫖↰⪸1679≎⊠⪸⫖↰⪸12B3)⨟⋌⩍(⫖↰⪸1171⩨⫖↰⪸31A7)⋝⋈⪟(⪲⇎(⫖↰⪸1725⪨≂⫖↰⪸3893))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸7A7⫌⩹⨱)⫥∨⫟(⫖↰⪸1BBA⨽⫖↰⪸1339)⪨≂(⨈⫕⫖↰⪸7BA⩚⊴⇥⫖↰⪸1445))⋥≓≎(⫖↰⪸1679≎⊠⪸⫖↰⪸12B3)⨟⋌⩍(⫖↰⪸1171⩨⫖↰⪸31A7)⋝⋈⪟(⪲⇎(⫖↰⪸1725⪨≂⫖↰⪸3893))","cot":[{"info":"⫖↰⪸7A7⫌⩹⨱=⫖↰⪸215B","layer":3},{"info":"⫖↰⪸1BBA⨽⫖↰⪸1339=⫖↰⪸-BBA30A9","layer":3},{"info":"⫖↰⪸215B⫥∨⫟⫖↰⪸-BBA30A9=NaN","layer":2},{"info":"⫖↰⪸7BA⩚⊴⇥⫖↰⪸1445=⫖↰⪸-2124","layer":3},{"info":"⨈⫕⫖↰⪸-2124=⫖↰⪸-19","layer":2},{"info":"NaN⪨≂⫖↰⪸-19=NaN","layer":1},{"info":"⫖↰⪸1679≎⊠⪸⫖↰⪸12B3=⫖↰⪸2961BA","layer":3},{"info":"⫖↰⪸1171⩨⫖↰⪸31A7=⫖↰⪸-6","layer":3},{"info":"⫖↰⪸2961BA⨟⋌⩍⫖↰⪸-6=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1725⪨≂⫖↰⪸3893=⫖↰⪸-4252","layer":3},{"info":"⪲⇎⫖↰⪸-4252=⫖↰⪸-84A4","layer":2},{"info":"⫖↰⪸0⋝⋈⪟⫖↰⪸-84A4=⫖↰⪸0","layer":1},{"info":"NaN⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":0}]}
{"id":901,"expression_no_base_symbol":"((≉$3492$⨽$5887$)%(($3350$⫌⩹⨱)/$6242$≭$1127$))≎⊠⪸(⩦⩻⨪($2514$⪒$1160$)∼(↯⪼$2383$))","expression":"((≉⫖↰⪸2030⨽⫖↰⪸34A7)%((⫖↰⪸1B32⫌⩹⨱)/⫖↰⪸3742≭⫖↰⪸79B))≎⊠⪸(⩦⩻⨪(⫖↰⪸1556⪒⫖↰⪸808)∼(↯⪼⫖↰⪸1467))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3737,"operation_count":11,"complexity_ratio":339.72727272727275,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3492,"base":12},"right_expr":{"type":"numeric_atoms","value":5887,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3350,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6242,"base":12},"right_expr":{"type":"numeric_atoms","value":1127,"base":12}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2514,"base":12},"right_expr":{"type":"numeric_atoms","value":1160,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2383,"base":12}}}}},"used_operators":["bJkvcejdHO","k8jYdgA6NY","e1ybzncUwg","8HhzD0ZcuI","XhwjNDsVaA","EBcxylXtPf","rxpJgHHUmx","2td37pGCOC","DyGG3AbaNP","f6k1SAg4EE","8jW3W4yZS5"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3492","layer":4},{"info":"number node, value=5887","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=5887, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-36598539","layer":3},{"info":"compute unary expreesion, input=-36598539, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-36598539","layer":2},{"info":"number node, value=3350","layer":4},{"info":"compute unary expreesion, input=3350, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8101","layer":3},{"info":"number node, value=6242","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=6242, right_input=1127, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=8101, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36598539, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2514","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=1160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3674","layer":3},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, 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=-3674, right_input=-21, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸2030⨽⫖↰⪸34A7)%((⫖↰⪸1B32⫌⩹⨱)/⫖↰⪸3742≭⫖↰⪸79B))≎⊠⪸(⩦⩻⨪(⫖↰⪸1556⪒⫖↰⪸808)∼(↯⪼⫖↰⪸1467))=NaN","reverse_text":"NaN=((≉⫖↰⪸2030⨽⫖↰⪸34A7)%((⫖↰⪸1B32⫌⩹⨱)/⫖↰⪸3742≭⫖↰⪸79B))≎⊠⪸(⩦⩻⨪(⫖↰⪸1556⪒⫖↰⪸808)∼(↯⪼⫖↰⪸1467))","cot":[{"info":"⫖↰⪸2030⨽⫖↰⪸34A7=⫖↰⪸-1030B863","layer":3},{"info":"≉⫖↰⪸-1030B863=⫖↰⪸-1030B863","layer":2},{"info":"⫖↰⪸1B32⫌⩹⨱=⫖↰⪸4831","layer":3},{"info":"⫖↰⪸3742≭⫖↰⪸79B=NaN","layer":3},{"info":"⫖↰⪸4831/NaN=NaN","layer":2},{"info":"⫖↰⪸-1030B863%NaN=NaN","layer":1},{"info":"⫖↰⪸1556⪒⫖↰⪸808=⫖↰⪸-2162","layer":3},{"info":"↯⪼⫖↰⪸1467=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-2162∼⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⩦⩻⨪⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN≎⊠⪸⫖↰⪸0=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"(≉($3800$⨐⩸⫘$2055$*($4221$⫡⨏$2568$)))⪢(⫓⪴(($1684$%$4995$)∑⇟⊟($5275$⨽$1778$)))","expression":"(≉(⫖↰⪸2248⨐⩸⫘⫖↰⪸1233*(⫖↰⪸2539⫡⨏⫖↰⪸15A0)))⪢(⫓⪴((⫖↰⪸B84%⫖↰⪸2A83)∑⇟⊟(⫖↰⪸3077⨽⫖↰⪸1042)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5298,"operation_count":9,"complexity_ratio":588.6666666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3800,"base":12},"right_expr":{"type":"numeric_atoms","value":2055,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4221,"base":12},"right_expr":{"type":"numeric_atoms","value":2568,"base":12}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1684,"base":12},"right_expr":{"type":"numeric_atoms","value":4995,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5275,"base":12},"right_expr":{"type":"numeric_atoms","value":1778,"base":12}}}}},"used_operators":["dWAJyo7jo9","e1ybzncUwg","9HNa5Wba9A","fu6greOZ01","QMFrweE19q","eLxqMNBOBk","U7g4x0WXJJ","k8jYdgA6NY","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3800","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=3800, right_input=2055, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4221","layer":4},{"info":"number node, value=2568","layer":4},{"info":"compute binary expreesion, left_input=4221, right_input=2568, 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=27024","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27024, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1684","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=4995, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1684","layer":3},{"info":"number node, value=5275","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=5275, right_input=1778, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-83480895","layer":3},{"info":"compute binary expreesion, left_input=1684, right_input=-83480895, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≉(⫖↰⪸2248⨐⩸⫘⫖↰⪸1233*(⫖↰⪸2539⫡⨏⫖↰⪸15A0)))⪢(⫓⪴((⫖↰⪸B84%⫖↰⪸2A83)∑⇟⊟(⫖↰⪸3077⨽⫖↰⪸1042)))=NaN","reverse_text":"NaN=(≉(⫖↰⪸2248⨐⩸⫘⫖↰⪸1233*(⫖↰⪸2539⫡⨏⫖↰⪸15A0)))⪢(⫓⪴((⫖↰⪸B84%⫖↰⪸2A83)∑⇟⊟(⫖↰⪸3077⨽⫖↰⪸1042)))","cot":[{"info":"⫖↰⪸2248⨐⩸⫘⫖↰⪸1233=NaN","layer":3},{"info":"⫖↰⪸2539⫡⨏⫖↰⪸15A0=⫖↰⪸13780","layer":3},{"info":"NaN*⫖↰⪸13780=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫖↰⪸B84%⫖↰⪸2A83=⫖↰⪸B84","layer":3},{"info":"⫖↰⪸3077⨽⫖↰⪸1042=⫖↰⪸-23B5A853","layer":3},{"info":"⫖↰⪸B84∑⇟⊟⫖↰⪸-23B5A853=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"($6362$≭$5597$)⨪↰⇹($6529$⨳⩥⨓$2200$)≎⊠⪸(($3666$≦≮≮)+$5323$⨸⪁$1003$)⩚⊴⇥($4893$⪢$3096$⫡⨏$2689$∑⇟⊟$6338$⨵⪆(($3697$-$1065$)≋⫹))","expression":"(⫖↰⪸3822≭⫖↰⪸32A5)⨪↰⇹(⫖↰⪸3941⨳⩥⨓⫖↰⪸1334)≎⊠⪸((⫖↰⪸2156≦≮≮)+⫖↰⪸30B7⨸⪁⫖↰⪸6B7)⩚⊴⇥(⫖↰⪸29B9⪢⫖↰⪸1960⫡⨏⫖↰⪸1681∑⇟⊟⫖↰⪸3802⨵⪆((⫖↰⪸2181-⫖↰⪸749)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3391,"operation_count":14,"complexity_ratio":242.21428571428572,"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":6362,"base":12},"right_expr":{"type":"numeric_atoms","value":5597,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6529,"base":12},"right_expr":{"type":"numeric_atoms","value":2200,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3666,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5323,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4893,"base":12},"right_expr":{"type":"numeric_atoms","value":3096,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2689,"base":12},"right_expr":{"type":"numeric_atoms","value":6338,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3697,"base":12},"right_expr":{"type":"numeric_atoms","value":1065,"base":12}}}}},"used_operators":["NTOWxs364D","bJkvcejdHO","tmPS8pqC7x","rxpJgHHUmx","nCS4ZIUYfx","W4YGzv6Whe","D4vGDi5EA2","g55IO6H4Gj","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","U7g4x0WXJJ","N41Kp7NANJ","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6362","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=5597, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6529","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=6529, right_input=2200, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4329","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4329, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3666","layer":4},{"info":"compute unary expreesion, input=3666, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10998","layer":3},{"info":"number node, value=5323","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=5323, right_input=1003, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12652","layer":3},{"info":"compute binary expreesion, left_input=-10998, right_input=12652, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1654","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1654, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=4893","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=3096, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2689","layer":4},{"info":"number node, value=6338","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=6338, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=3697","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=1065, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2632","layer":3},{"info":"compute unary expreesion, input=2632, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5264, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3822≭⫖↰⪸32A5)⨪↰⇹(⫖↰⪸3941⨳⩥⨓⫖↰⪸1334)≎⊠⪸((⫖↰⪸2156≦≮≮)+⫖↰⪸30B7⨸⪁⫖↰⪸6B7)⩚⊴⇥(⫖↰⪸29B9⪢⫖↰⪸1960⫡⨏⫖↰⪸1681∑⇟⊟⫖↰⪸3802⨵⪆((⫖↰⪸2181-⫖↰⪸749)≋⫹))=NaN","reverse_text":"NaN=(⫖↰⪸3822≭⫖↰⪸32A5)⨪↰⇹(⫖↰⪸3941⨳⩥⨓⫖↰⪸1334)≎⊠⪸((⫖↰⪸2156≦≮≮)+⫖↰⪸30B7⨸⪁⫖↰⪸6B7)⩚⊴⇥(⫖↰⪸29B9⪢⫖↰⪸1960⫡⨏⫖↰⪸1681∑⇟⊟⫖↰⪸3802⨵⪆((⫖↰⪸2181-⫖↰⪸749)≋⫹))","cot":[{"info":"⫖↰⪸3822≭⫖↰⪸32A5=NaN","layer":3},{"info":"⫖↰⪸3941⨳⩥⨓⫖↰⪸1334=⫖↰⪸-2609","layer":3},{"info":"NaN⨪↰⇹⫖↰⪸-2609=NaN","layer":2},{"info":"⫖↰⪸2156≦≮≮=⫖↰⪸-6446","layer":3},{"info":"⫖↰⪸30B7⨸⪁⫖↰⪸6B7=⫖↰⪸73A4","layer":3},{"info":"⫖↰⪸-6446+⫖↰⪸73A4=⫖↰⪸B5A","layer":2},{"info":"NaN≎⊠⪸⫖↰⪸B5A=NaN","layer":1},{"info":"⫖↰⪸29B9⪢⫖↰⪸1960=NaN","layer":3},{"info":"⫖↰⪸1681∑⇟⊟⫖↰⪸3802=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⫖↰⪸2181-⫖↰⪸749=⫖↰⪸1634","layer":3},{"info":"⫖↰⪸1634≋⫹=⫖↰⪸-3068","layer":2},{"info":"NaN⨵⪆⫖↰⪸-3068=⫖↰⪸114","layer":1},{"info":"NaN⩚⊴⇥⫖↰⪸114=NaN","layer":0}]}
{"id":904,"expression_no_base_symbol":"(($1783$⊉≛↸$4584$∲⫓$5249$≭$2934$)∀⇚≩(($2534$⊪)⨎($1957$+$3447$)))≹⇙⪍(($6585$⩷∴$2961$≋⫹)⇷($2068$⊭↱$5334$)⪘⫢($1610$⩨$4041$))","expression":"((⫖↰⪸1047⊉≛↸⫖↰⪸27A0∲⫓⫖↰⪸3055≭⫖↰⪸1846)∀⇚≩((⫖↰⪸1572⊪)⨎(⫖↰⪸1171+⫖↰⪸1BB3)))≹⇙⪍((⫖↰⪸3989⩷∴⫖↰⪸1869≋⫹)⇷(⫖↰⪸1244⊭↱⫖↰⪸3106)⪘⫢(⫖↰⪸B22⩨⫖↰⪸2409))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":202125,"operation_count":14,"complexity_ratio":14437.5,"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":1783,"base":12},"right_expr":{"type":"numeric_atoms","value":4584,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5249,"base":12},"right_expr":{"type":"numeric_atoms","value":2934,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2534,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1957,"base":12},"right_expr":{"type":"numeric_atoms","value":3447,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6585,"base":12},"right_expr":{"type":"numeric_atoms","value":2961,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2068,"base":12},"right_expr":{"type":"numeric_atoms","value":5334,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1610,"base":12},"right_expr":{"type":"numeric_atoms","value":4041,"base":12}}}}},"used_operators":["AHs5Up7iyr","LRNGc0VcxI","i8ToyICDmI","DZ8iAZOCBD","rxpJgHHUmx","rJVOvQCfKK","zVYPLywUTj","W4YGzv6Whe","mp7IySMOzn","N41Kp7NANJ","9FxExcQeMw","oacrs7FA3X","COABgblf1C","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":4},{"info":"number node, value=4584","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=4584, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3566","layer":3},{"info":"number node, value=5249","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=5249, right_input=2934, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3566, 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=2534","layer":4},{"info":"compute unary expreesion, input=2534, 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=1957","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=3447, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5404","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5404, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5404","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5404, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6585","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=2961, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7216","layer":3},{"info":"compute unary expreesion, input=7216, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14432","layer":2},{"info":"number node, value=2068","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=5334, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6537","layer":3},{"info":"number node, value=1610","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=4041, 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=6537, right_input=-6, 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=-14432, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"((⫖↰⪸1047⊉≛↸⫖↰⪸27A0∲⫓⫖↰⪸3055≭⫖↰⪸1846)∀⇚≩((⫖↰⪸1572⊪)⨎(⫖↰⪸1171+⫖↰⪸1BB3)))≹⇙⪍((⫖↰⪸3989⩷∴⫖↰⪸1869≋⫹)⇷(⫖↰⪸1244⊭↱⫖↰⪸3106)⪘⫢(⫖↰⪸B22⩨⫖↰⪸2409))=NaN","reverse_text":"NaN=((⫖↰⪸1047⊉≛↸⫖↰⪸27A0∲⫓⫖↰⪸3055≭⫖↰⪸1846)∀⇚≩((⫖↰⪸1572⊪)⨎(⫖↰⪸1171+⫖↰⪸1BB3)))≹⇙⪍((⫖↰⪸3989⩷∴⫖↰⪸1869≋⫹)⇷(⫖↰⪸1244⊭↱⫖↰⪸3106)⪘⫢(⫖↰⪸B22⩨⫖↰⪸2409))","cot":[{"info":"⫖↰⪸1047⊉≛↸⫖↰⪸27A0=⫖↰⪸2092","layer":3},{"info":"⫖↰⪸3055≭⫖↰⪸1846=NaN","layer":3},{"info":"⫖↰⪸2092∲⫓NaN=NaN","layer":2},{"info":"⫖↰⪸1572⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1171+⫖↰⪸1BB3=⫖↰⪸3164","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸3164=⫖↰⪸3164","layer":2},{"info":"NaN∀⇚≩⫖↰⪸3164=NaN","layer":1},{"info":"⫖↰⪸3989⩷∴⫖↰⪸1869=⫖↰⪸4214","layer":3},{"info":"⫖↰⪸4214≋⫹=⫖↰⪸-8428","layer":2},{"info":"⫖↰⪸1244⊭↱⫖↰⪸3106=⫖↰⪸3949","layer":3},{"info":"⫖↰⪸B22⩨⫖↰⪸2409=⫖↰⪸-6","layer":3},{"info":"⫖↰⪸3949⪘⫢⫖↰⪸-6=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-8428⇷⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸0=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"⫛⫱⨽(($2734$⨐⩸⫘$2357$%$5272$∲⫓$1470$)-($1624$⇼⇔∾$6313$)↺$3244$≹⇙⪍$3855$)","expression":"⫛⫱⨽((⫖↰⪸16BA⨐⩸⫘⫖↰⪸1445%⫖↰⪸3074∲⫓⫖↰⪸A26)-(⫖↰⪸B34⇼⇔∾⫖↰⪸37A1)↺⫖↰⪸1A64≹⇙⪍⫖↰⪸2293)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":922,"operation_count":8,"complexity_ratio":115.25,"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":2734,"base":12},"right_expr":{"type":"numeric_atoms","value":2357,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5272,"base":12},"right_expr":{"type":"numeric_atoms","value":1470,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1624,"base":12},"right_expr":{"type":"numeric_atoms","value":6313,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3244,"base":12},"right_expr":{"type":"numeric_atoms","value":3855,"base":12}}}}},"used_operators":["DlLNRPXxWL","rysDP5nf3Z","k8jYdgA6NY","fu6greOZ01","i8ToyICDmI","7j4O788W3g","tifHPKVTfV","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2734","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=2357, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5272","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=5272, right_input=1470, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1624","layer":4},{"info":"number node, value=6313","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=6313, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4689","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=3855","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=3855, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4689, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽((⫖↰⪸16BA⨐⩸⫘⫖↰⪸1445%⫖↰⪸3074∲⫓⫖↰⪸A26)-(⫖↰⪸B34⇼⇔∾⫖↰⪸37A1)↺⫖↰⪸1A64≹⇙⪍⫖↰⪸2293)=NaN","reverse_text":"NaN=⫛⫱⨽((⫖↰⪸16BA⨐⩸⫘⫖↰⪸1445%⫖↰⪸3074∲⫓⫖↰⪸A26)-(⫖↰⪸B34⇼⇔∾⫖↰⪸37A1)↺⫖↰⪸1A64≹⇙⪍⫖↰⪸2293)","cot":[{"info":"⫖↰⪸16BA⨐⩸⫘⫖↰⪸1445=NaN","layer":3},{"info":"⫖↰⪸3074∲⫓⫖↰⪸A26=⫖↰⪸0","layer":3},{"info":"NaN%⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸B34⇼⇔∾⫖↰⪸37A1=⫖↰⪸2869","layer":3},{"info":"⫖↰⪸1A64≹⇙⪍⫖↰⪸2293=NaN","layer":3},{"info":"⫖↰⪸2869↺NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"⪲⇎($2596$⊴$1538$⊠≄⫣)⨽(∂$3852$)⨓($1597$⫡⨏$1526$)","expression":"⪲⇎(⫖↰⪸1604⊴⫖↰⪸A82⊠≄⫣)⨽(∂⫖↰⪸2290)⨓(⫖↰⪸B11⫡⨏⫖↰⪸A72)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14111,"operation_count":7,"complexity_ratio":2015.857142857143,"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":2596,"base":12},"right_expr":{"type":"numeric_atoms","value":1538,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3852,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1597,"base":12},"right_expr":{"type":"numeric_atoms","value":1526,"base":12}}}}},"used_operators":["XPYlsWDdGa","8HhzD0ZcuI","DIvbN7qnHd","Nsiff2A1zJ","3ViojmjbAp","Uaa54Peajs","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2596","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=1538, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=3852","layer":4},{"info":"compute unary expreesion, input=3852, 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=1597","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=1526, 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=11820","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11820, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-11823","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11823, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪲⇎(⫖↰⪸1604⊴⫖↰⪸A82⊠≄⫣)⨽(∂⫖↰⪸2290)⨓(⫖↰⪸B11⫡⨏⫖↰⪸A72)=NaN","reverse_text":"NaN=⪲⇎(⫖↰⪸1604⊴⫖↰⪸A82⊠≄⫣)⨽(∂⫖↰⪸2290)⨓(⫖↰⪸B11⫡⨏⫖↰⪸A72)","cot":[{"info":"⫖↰⪸1604⊴⫖↰⪸A82=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"∂⫖↰⪸2290=NaN","layer":3},{"info":"⫖↰⪸B11⫡⨏⫖↰⪸A72=⫖↰⪸6A10","layer":3},{"info":"NaN⨓⫖↰⪸6A10=⫖↰⪸-6A13","layer":2},{"info":"NaN⨽⫖↰⪸-6A13=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($6435$+$1007$)⇷(⋗⩬⋾$3310$))⨪↰⇹(($5703$↪⪝)+⇶⊼($1127$≎⊠⪸$1862$))⨽(↯⪼$8361$)⪮%⊝($2199$⋷$1529$)⪛($1370$⩷∴$3040$⨰($4014$⫡⨏$1020$))","expression":"((⫖↰⪸3883+⫖↰⪸6BB)⇷(⋗⩬⋾⫖↰⪸1ABA))⨪↰⇹((⫖↰⪸3373↪⪝)+⇶⊼(⫖↰⪸79B≎⊠⪸⫖↰⪸10B2))⨽(↯⪼⫖↰⪸4A09)⪮%⊝(⫖↰⪸1333⋷⫖↰⪸A75)⪛(⫖↰⪸962⩷∴⫖↰⪸1914⨰(⫖↰⪸23A6⫡⨏⫖↰⪸710))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":105248,"operation_count":15,"complexity_ratio":7016.533333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6435,"base":12},"right_expr":{"type":"numeric_atoms","value":1007,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3310,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5703,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1127,"base":12},"right_expr":{"type":"numeric_atoms","value":1862,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8361,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2199,"base":12},"right_expr":{"type":"numeric_atoms","value":1529,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":3040,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4014,"base":12},"right_expr":{"type":"numeric_atoms","value":1020,"base":12}}}}},"used_operators":["8HhzD0ZcuI","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","DpFCA1CohY","TpPTUOHfaN","l07mrZUIn9","bJkvcejdHO","uFcxV4UQCh","IWmyXbctLI","8jW3W4yZS5","23Mk6UjR3U","eewbuw0ToL","9FxExcQeMw","QMFrweE19q"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6435","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=6435, right_input=1007, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7442","layer":3},{"info":"number node, value=3310","layer":4},{"info":"compute unary expreesion, input=3310, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9930","layer":3},{"info":"compute binary expreesion, left_input=7442, right_input=-9930, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=5703","layer":4},{"info":"compute unary expreesion, input=5703, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=348920946","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1862, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=291420","layer":3},{"info":"compute binary expreesion, left_input=348920946, right_input=291420, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=8361","layer":4},{"info":"compute unary expreesion, input=8361, 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=2199","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1529, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=859","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=859, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":2},{"info":"number node, value=1370","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=3040, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3372","layer":3},{"info":"number node, value=4014","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=1020, 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=22893","layer":3},{"info":"compute binary expreesion, left_input=-3372, right_input=22893, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-26255","layer":2},{"info":"compute binary expreesion, left_input=274, right_input=-26255, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-25981","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-25981, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3883+⫖↰⪸6BB)⇷(⋗⩬⋾⫖↰⪸1ABA))⨪↰⇹((⫖↰⪸3373↪⪝)+⇶⊼(⫖↰⪸79B≎⊠⪸⫖↰⪸10B2))⨽(↯⪼⫖↰⪸4A09)⪮%⊝(⫖↰⪸1333⋷⫖↰⪸A75)⪛(⫖↰⪸962⩷∴⫖↰⪸1914⨰(⫖↰⪸23A6⫡⨏⫖↰⪸710))=NaN","reverse_text":"NaN=((⫖↰⪸3883+⫖↰⪸6BB)⇷(⋗⩬⋾⫖↰⪸1ABA))⨪↰⇹((⫖↰⪸3373↪⪝)+⇶⊼(⫖↰⪸79B≎⊠⪸⫖↰⪸10B2))⨽(↯⪼⫖↰⪸4A09)⪮%⊝(⫖↰⪸1333⋷⫖↰⪸A75)⪛(⫖↰⪸962⩷∴⫖↰⪸1914⨰(⫖↰⪸23A6⫡⨏⫖↰⪸710))","cot":[{"info":"⫖↰⪸3883+⫖↰⪸6BB=⫖↰⪸4382","layer":3},{"info":"⋗⩬⋾⫖↰⪸1ABA=⫖↰⪸-58B6","layer":3},{"info":"⫖↰⪸4382⇷⫖↰⪸-58B6=NaN","layer":2},{"info":"⫖↰⪸3373↪⪝=⫖↰⪸98A29A16","layer":3},{"info":"⫖↰⪸79B≎⊠⪸⫖↰⪸10B2=⫖↰⪸120790","layer":3},{"info":"⫖↰⪸98A29A16+⇶⊼⫖↰⪸120790=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"↯⪼⫖↰⪸4A09=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸1333⋷⫖↰⪸A75=⫖↰⪸5B7","layer":3},{"info":"⫖↰⪸-19⪮%⊝⫖↰⪸5B7=⫖↰⪸1AA","layer":2},{"info":"⫖↰⪸962⩷∴⫖↰⪸1914=⫖↰⪸-1B50","layer":3},{"info":"⫖↰⪸23A6⫡⨏⫖↰⪸710=⫖↰⪸112B9","layer":3},{"info":"⫖↰⪸-1B50⨰⫖↰⪸112B9=⫖↰⪸-1323B","layer":2},{"info":"⫖↰⪸1AA⪛⫖↰⪸-1323B=⫖↰⪸-13051","layer":1},{"info":"NaN⨽⫖↰⪸-13051=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"(≦∁$1271$∑⇟⊟$4270$*$2435$⋳⪒$1873$)⪠⩆⊳","expression":"(≦∁⫖↰⪸89B∑⇟⊟⫖↰⪸257A*⫖↰⪸14AB⋳⪒⫖↰⪸1101)⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16,"operation_count":5,"complexity_ratio":3.2,"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":1271,"base":12},"right_expr":{"type":"numeric_atoms","value":4270,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2435,"base":12},"right_expr":{"type":"numeric_atoms","value":1873,"base":12}}}}},"used_operators":["JLbD19bQDL","9ICcGScMcE","9HNa5Wba9A","U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1271","layer":4},{"info":"number node, value=4270","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=4270, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2435","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=1873, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2710","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2710, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute 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":"(≦∁⫖↰⪸89B∑⇟⊟⫖↰⪸257A*⫖↰⪸14AB⋳⪒⫖↰⪸1101)⪠⩆⊳=NaN","reverse_text":"NaN=(≦∁⫖↰⪸89B∑⇟⊟⫖↰⪸257A*⫖↰⪸14AB⋳⪒⫖↰⪸1101)⪠⩆⊳","cot":[{"info":"⫖↰⪸89B∑⇟⊟⫖↰⪸257A=NaN","layer":3},{"info":"⫖↰⪸14AB⋳⪒⫖↰⪸1101=⫖↰⪸169A","layer":3},{"info":"NaN*⫖↰⪸169A=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"((⨵≀≌$4255$≹⇙⪍$2025$)⨁⊸⫻)⨳⩥⨓(($2076$⊦⊿)⪠⩆⊳)⨎($1955$⊉≛↸$1759$)⩚⊴⇥($1608$⊪)","expression":"((⨵≀≌⫖↰⪸2567≹⇙⪍⫖↰⪸1209)⨁⊸⫻)⨳⩥⨓((⫖↰⪸1250⊦⊿)⪠⩆⊳)⨎(⫖↰⪸116B⊉≛↸⫖↰⪸1027)⩚⊴⇥(⫖↰⪸B20⊪)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59,"operation_count":10,"complexity_ratio":5.9,"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":4255,"base":12},"right_expr":{"type":"numeric_atoms","value":2025,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2076,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1955,"base":12},"right_expr":{"type":"numeric_atoms","value":1759,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1608,"base":12}}}}},"used_operators":["nCS4ZIUYfx","glklzrTFfD","srAu1WTS94","AHs5Up7iyr","rJVOvQCfKK","JLbD19bQDL","14qkJME0vr","NTOWxs364D","DZ8iAZOCBD","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4255","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=2025, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=2076","layer":4},{"info":"compute unary expreesion, input=2076, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6307","layer":3},{"info":"compute unary expreesion, input=-6307, 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=1955","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=1759, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3910","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, 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=3910, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4031","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4031, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4031","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4031, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨵≀≌⫖↰⪸2567≹⇙⪍⫖↰⪸1209)⨁⊸⫻)⨳⩥⨓((⫖↰⪸1250⊦⊿)⪠⩆⊳)⨎(⫖↰⪸116B⊉≛↸⫖↰⪸1027)⩚⊴⇥(⫖↰⪸B20⊪)=NaN","reverse_text":"NaN=((⨵≀≌⫖↰⪸2567≹⇙⪍⫖↰⪸1209)⨁⊸⫻)⨳⩥⨓((⫖↰⪸1250⊦⊿)⪠⩆⊳)⨎(⫖↰⪸116B⊉≛↸⫖↰⪸1027)⩚⊴⇥(⫖↰⪸B20⊪)","cot":[{"info":"⫖↰⪸2567≹⇙⪍⫖↰⪸1209=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⫖↰⪸1250⊦⊿=⫖↰⪸-3797","layer":3},{"info":"⫖↰⪸-3797⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸116B⊉≛↸⫖↰⪸1027=⫖↰⪸231A","layer":3},{"info":"⫖↰⪸B20⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸231A⩚⊴⇥⫖↰⪸0=⫖↰⪸-23BB","layer":2},{"info":"⫖↰⪸0⨎⫖↰⪸-23BB=⫖↰⪸-23BB","layer":1},{"info":"NaN⨳⩥⨓⫖↰⪸-23BB=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"(∂(⨰⫟⨤$3990$))+⇶⊼($2706$≧⫂∧$6296$)⊴(⋗⩬⋾$1002$)⊉≛↸(⫓⪴($5163$⨵⪆$5689$))⫥∨⫟(($1484$⨽$4134$)⨎($5656$⪄$1259$))","expression":"(∂(⨰⫟⨤⫖↰⪸2386))+⇶⊼(⫖↰⪸1696≧⫂∧⫖↰⪸3788)⊴(⋗⩬⋾⫖↰⪸6B6)⊉≛↸(⫓⪴(⫖↰⪸2BA3⨵⪆⫖↰⪸3361))⫥∨⫟((⫖↰⪸A38⨽⫖↰⪸2486)⨎(⫖↰⪸3334⪄⫖↰⪸88B))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21260,"operation_count":13,"complexity_ratio":1635.3846153846155,"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":3990,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2706,"base":12},"right_expr":{"type":"numeric_atoms","value":6296,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1002,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5163,"base":12},"right_expr":{"type":"numeric_atoms","value":5689,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1484,"base":12},"right_expr":{"type":"numeric_atoms","value":4134,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5656,"base":12},"right_expr":{"type":"numeric_atoms","value":1259,"base":12}}}}},"used_operators":["DZ8iAZOCBD","TpPTUOHfaN","Uaa54Peajs","Tw270M8GLb","Nsiff2A1zJ","Ph9nP6C5qx","DpFCA1CohY","KYD54nUTWz","eLxqMNBOBk","2DQ55sFlQl","rJVOvQCfKK","8HhzD0ZcuI","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3990","layer":4},{"info":"compute unary expreesion, input=3990, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2706","layer":4},{"info":"number node, value=6296","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=6296, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5823","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3006","layer":3},{"info":"compute binary expreesion, left_input=5823, right_input=-3006, 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 = 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=5163","layer":4},{"info":"number node, value=5689","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=5689, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25600","layer":2},{"info":"number node, value=1484","layer":4},{"info":"number node, value=4134","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=4134, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6617856","layer":3},{"info":"number node, value=5656","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=5656, right_input=1259, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-838213","layer":3},{"info":"compute binary expreesion, left_input=-6617856, right_input=-838213, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-838213","layer":2},{"info":"compute binary expreesion, left_input=25600, right_input=-838213, 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 = 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":"(∂(⨰⫟⨤⫖↰⪸2386))+⇶⊼(⫖↰⪸1696≧⫂∧⫖↰⪸3788)⊴(⋗⩬⋾⫖↰⪸6B6)⊉≛↸(⫓⪴(⫖↰⪸2BA3⨵⪆⫖↰⪸3361))⫥∨⫟((⫖↰⪸A38⨽⫖↰⪸2486)⨎(⫖↰⪸3334⪄⫖↰⪸88B))=NaN","reverse_text":"NaN=(∂(⨰⫟⨤⫖↰⪸2386))+⇶⊼(⫖↰⪸1696≧⫂∧⫖↰⪸3788)⊴(⋗⩬⋾⫖↰⪸6B6)⊉≛↸(⫓⪴(⫖↰⪸2BA3⨵⪆⫖↰⪸3361))⫥∨⫟((⫖↰⪸A38⨽⫖↰⪸2486)⨎(⫖↰⪸3334⪄⫖↰⪸88B))","cot":[{"info":"⨰⫟⨤⫖↰⪸2386=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⫖↰⪸1696≧⫂∧⫖↰⪸3788=⫖↰⪸3453","layer":3},{"info":"⋗⩬⋾⫖↰⪸6B6=⫖↰⪸-18A6","layer":3},{"info":"⫖↰⪸3453⊴⫖↰⪸-18A6=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸2BA3⨵⪆⫖↰⪸3361=⫖↰⪸114","layer":3},{"info":"⫓⪴⫖↰⪸114=⫖↰⪸12994","layer":2},{"info":"⫖↰⪸A38⨽⫖↰⪸2486=⫖↰⪸-2271940","layer":3},{"info":"⫖↰⪸3334⪄⫖↰⪸88B=⫖↰⪸-3450B1","layer":3},{"info":"⫖↰⪸-2271940⨎⫖↰⪸-3450B1=⫖↰⪸-3450B1","layer":2},{"info":"⫖↰⪸12994⫥∨⫟⫖↰⪸-3450B1=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"((⨵≀≌$3580$↙$4867$)⋳⪒($4001$⩚⊴⇥$5158$)⪮%⊝($1011$*$6010$))⪢($1372$⩚⊴⇥$5964$↺$2996$∑⇟⊟$3059$-($1061$⨽$2714$)⫥∨⫟$7854$⋓$3586$)","expression":"((⨵≀≌⫖↰⪸20A4↙⫖↰⪸2997)⋳⪒(⫖↰⪸2395⩚⊴⇥⫖↰⪸2B9A)⪮%⊝(⫖↰⪸703*⫖↰⪸358A))⪢(⫖↰⪸964⩚⊴⇥⫖↰⪸3550↺⫖↰⪸1898∑⇟⊟⫖↰⪸192B-(⫖↰⪸745⨽⫖↰⪸16A2)⫥∨⫟⫖↰⪸4666⋓⫖↰⪸20AA)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21751,"operation_count":14,"complexity_ratio":1553.642857142857,"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":3580,"base":12},"right_expr":{"type":"numeric_atoms","value":4867,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4001,"base":12},"right_expr":{"type":"numeric_atoms","value":5158,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1011,"base":12},"right_expr":{"type":"numeric_atoms","value":6010,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1372,"base":12},"right_expr":{"type":"numeric_atoms","value":5964,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2996,"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":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":2714,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7854,"base":12},"right_expr":{"type":"numeric_atoms","value":3586,"base":12}}}}},"used_operators":["dWAJyo7jo9","12rbrZMWeM","srAu1WTS94","yyfyN0ffXY","IWmyXbctLI","NTOWxs364D","9HNa5Wba9A","rysDP5nf3Z","7j4O788W3g","U7g4x0WXJJ","KYD54nUTWz","8HhzD0ZcuI","T2fj7uvVaJ"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","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=3580","layer":4},{"info":"number node, value=4867","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=4867, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14601","layer":3},{"info":"compute unary expreesion, input=-14601, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=213189201","layer":2},{"info":"number node, value=4001","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=5158, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9280","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=6010","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=6010, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6076110","layer":3},{"info":"compute binary expreesion, left_input=-9280, right_input=6076110, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-18244","layer":2},{"info":"compute binary expreesion, left_input=213189201, right_input=-18244, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=426396359","layer":1},{"info":"number node, value=1372","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=5964, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7457","layer":3},{"info":"number node, value=2996","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=3059, 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=-7457, 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=1061","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2714, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3383991","layer":3},{"info":"number node, value=7854","layer":4},{"info":"number node, value=3586","layer":4},{"info":"compute binary expreesion, left_input=7854, right_input=3586, 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=-3383991, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=426396359, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨵≀≌⫖↰⪸20A4↙⫖↰⪸2997)⋳⪒(⫖↰⪸2395⩚⊴⇥⫖↰⪸2B9A)⪮%⊝(⫖↰⪸703*⫖↰⪸358A))⪢(⫖↰⪸964⩚⊴⇥⫖↰⪸3550↺⫖↰⪸1898∑⇟⊟⫖↰⪸192B-(⫖↰⪸745⨽⫖↰⪸16A2)⫥∨⫟⫖↰⪸4666⋓⫖↰⪸20AA)=NaN","reverse_text":"NaN=((⨵≀≌⫖↰⪸20A4↙⫖↰⪸2997)⋳⪒(⫖↰⪸2395⩚⊴⇥⫖↰⪸2B9A)⪮%⊝(⫖↰⪸703*⫖↰⪸358A))⪢(⫖↰⪸964⩚⊴⇥⫖↰⪸3550↺⫖↰⪸1898∑⇟⊟⫖↰⪸192B-(⫖↰⪸745⨽⫖↰⪸16A2)⫥∨⫟⫖↰⪸4666⋓⫖↰⪸20AA)","cot":[{"info":"⫖↰⪸20A4↙⫖↰⪸2997=⫖↰⪸-8549","layer":3},{"info":"⨵≀≌⫖↰⪸-8549=⫖↰⪸5B491469","layer":2},{"info":"⫖↰⪸2395⩚⊴⇥⫖↰⪸2B9A=⫖↰⪸-5454","layer":3},{"info":"⫖↰⪸703*⫖↰⪸358A=⫖↰⪸2050326","layer":3},{"info":"⫖↰⪸-5454⪮%⊝⫖↰⪸2050326=⫖↰⪸-A684","layer":2},{"info":"⫖↰⪸5B491469⋳⪒⫖↰⪸-A684=⫖↰⪸BA97119B","layer":1},{"info":"⫖↰⪸964⩚⊴⇥⫖↰⪸3550=⫖↰⪸-4395","layer":3},{"info":"⫖↰⪸1898∑⇟⊟⫖↰⪸192B=NaN","layer":3},{"info":"⫖↰⪸-4395↺NaN=NaN","layer":2},{"info":"⫖↰⪸745⨽⫖↰⪸16A2=⫖↰⪸-11723B3","layer":3},{"info":"⫖↰⪸4666⋓⫖↰⪸20AA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-11723B3⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⫖↰⪸BA97119B⪢NaN=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"((↔$2440$≹⇙⪍$2609$)-$4922$⪘⫢$2130$≭($5375$⨸⪁$3960$))↺(⨞⊢((-$6211$)*(↽≂$7237$)))","expression":"((↔⫖↰⪸14B4≹⇙⪍⫖↰⪸1615)-⫖↰⪸2A22⪘⫢⫖↰⪸1296≭(⫖↰⪸313B⨸⪁⫖↰⪸2360))↺(⨞⊢((-⫖↰⪸3717)*(↽≂⫖↰⪸4231)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6262,"operation_count":11,"complexity_ratio":569.2727272727273,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2440,"base":12},"right_expr":{"type":"numeric_atoms","value":2609,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4922,"base":12},"right_expr":{"type":"numeric_atoms","value":2130,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5375,"base":12},"right_expr":{"type":"numeric_atoms","value":3960,"base":12}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6211,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7237,"base":12}}}}},"used_operators":["7j4O788W3g","rysDP5nf3Z","ruOEQAzv1W","AHs5Up7iyr","rxpJgHHUmx","oacrs7FA3X","g55IO6H4Gj","xUOZtlo3hN","9HNa5Wba9A","t8gj7n24qd","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-261344B8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2440","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=2609, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=4922","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=4922, right_input=2130, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9720","layer":3},{"info":"number node, value=5375","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=5375, right_input=3960, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18670","layer":3},{"info":"compute binary expreesion, left_input=9720, right_input=18670, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6211","layer":4},{"info":"compute unary expreesion, input=6211, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6211","layer":3},{"info":"number node, value=7237","layer":4},{"info":"compute unary expreesion, input=7237, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14474","layer":3},{"info":"compute binary expreesion, left_input=-6211, right_input=-14474, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=89898014","layer":2},{"info":"compute unary expreesion, input=89898014, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-89898188","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-89898188, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-89898188","layer":0}],"base":12,"result_base":12,"text":"((↔⫖↰⪸14B4≹⇙⪍⫖↰⪸1615)-⫖↰⪸2A22⪘⫢⫖↰⪸1296≭(⫖↰⪸313B⨸⪁⫖↰⪸2360))↺(⨞⊢((-⫖↰⪸3717)*(↽≂⫖↰⪸4231)))=⫖↰⪸-261344B8","reverse_text":"⫖↰⪸-261344B8=((↔⫖↰⪸14B4≹⇙⪍⫖↰⪸1615)-⫖↰⪸2A22⪘⫢⫖↰⪸1296≭(⫖↰⪸313B⨸⪁⫖↰⪸2360))↺(⨞⊢((-⫖↰⪸3717)*(↽≂⫖↰⪸4231)))","cot":[{"info":"⫖↰⪸14B4≹⇙⪍⫖↰⪸1615=NaN","layer":3},{"info":"↔NaN=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸2A22⪘⫢⫖↰⪸1296=⫖↰⪸5760","layer":3},{"info":"⫖↰⪸313B⨸⪁⫖↰⪸2360=⫖↰⪸A97A","layer":3},{"info":"⫖↰⪸5760≭⫖↰⪸A97A=NaN","layer":2},{"info":"⫖↰⪸-B2-NaN=NaN","layer":1},{"info":"-⫖↰⪸3717=⫖↰⪸-3717","layer":3},{"info":"↽≂⫖↰⪸4231=⫖↰⪸-8462","layer":3},{"info":"⫖↰⪸-3717*⫖↰⪸-8462=⫖↰⪸26134392","layer":2},{"info":"⨞⊢⫖↰⪸26134392=⫖↰⪸-261344B8","layer":1},{"info":"NaN↺⫖↰⪸-261344B8=⫖↰⪸-261344B8","layer":0}]}
{"id":913,"expression_no_base_symbol":"(($4053$⊪)⨽$1421$⊴$1268$↪⪝)↙(($4638$⫌⩹⨱)+⇶⊼($2275$⊉≛↸$1555$)⪄(⨞⊢$1448$)≹⇙⪍(⨈⫕$1699$))","expression":"((⫖↰⪸2419⊪)⨽⫖↰⪸9A5⊴⫖↰⪸898↪⪝)↙((⫖↰⪸2826⫌⩹⨱)+⇶⊼(⫖↰⪸1397⊉≛↸⫖↰⪸A97)⪄(⨞⊢⫖↰⪸A08)≹⇙⪍(⨈⫕⫖↰⪸B97))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5852,"operation_count":12,"complexity_ratio":487.6666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4053,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1421,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4638,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2275,"base":12},"right_expr":{"type":"numeric_atoms","value":1555,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1448,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1699,"base":12}}}}},"used_operators":["yyfyN0ffXY","l07mrZUIn9","8HhzD0ZcuI","zVYPLywUTj","Nsiff2A1zJ","SUmda5xLS4","TpPTUOHfaN","EBcxylXtPf","DZ8iAZOCBD","AHs5Up7iyr","xUOZtlo3hN","megm06wKyl"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4053","layer":4},{"info":"compute unary expreesion, input=4053, 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=1421","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1268, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(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":"number node, value=4638","layer":4},{"info":"compute unary expreesion, input=4638, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10677","layer":3},{"info":"number node, value=2275","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=1555, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4550","layer":3},{"info":"compute binary expreesion, left_input=10677, right_input=4550, 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=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1622","layer":3},{"info":"number node, value=1699","layer":4},{"info":"compute unary expreesion, input=1699, 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=-1622, right_input=-21, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2419⊪)⨽⫖↰⪸9A5⊴⫖↰⪸898↪⪝)↙((⫖↰⪸2826⫌⩹⨱)+⇶⊼(⫖↰⪸1397⊉≛↸⫖↰⪸A97)⪄(⨞⊢⫖↰⪸A08)≹⇙⪍(⨈⫕⫖↰⪸B97))=NaN","reverse_text":"NaN=((⫖↰⪸2419⊪)⨽⫖↰⪸9A5⊴⫖↰⪸898↪⪝)↙((⫖↰⪸2826⫌⩹⨱)+⇶⊼(⫖↰⪸1397⊉≛↸⫖↰⪸A97)⪄(⨞⊢⫖↰⪸A08)≹⇙⪍(⨈⫕⫖↰⪸B97))","cot":[{"info":"⫖↰⪸2419⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸9A5⊴⫖↰⪸898=NaN","layer":3},{"info":"⫖↰⪸0⨽NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⫖↰⪸2826⫌⩹⨱=⫖↰⪸6219","layer":3},{"info":"⫖↰⪸1397⊉≛↸⫖↰⪸A97=⫖↰⪸2772","layer":3},{"info":"⫖↰⪸6219+⇶⊼⫖↰⪸2772=NaN","layer":2},{"info":"⨞⊢⫖↰⪸A08=⫖↰⪸-B32","layer":3},{"info":"⨈⫕⫖↰⪸B97=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-B32≹⇙⪍⫖↰⪸-19=NaN","layer":2},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":1},{"info":"NaN↙⫖↰⪸2377=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"↣≠⋷(($2914$⨓$7260$⋷$1023$⪮%⊝$2353$)⇷(⪝⪂⫅$2970$)⊴($7570$%$3738$))","expression":"↣≠⋷((⫖↰⪸182A⨓⫖↰⪸4250⋷⫖↰⪸713⪮%⊝⫖↰⪸1441)⇷(⪝⪂⫅⫖↰⪸1876)⊴(⫖↰⪸446A%⫖↰⪸21B6))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":270116,"operation_count":8,"complexity_ratio":33764.5,"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":2914,"base":12},"right_expr":{"type":"numeric_atoms","value":7260,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1023,"base":12},"right_expr":{"type":"numeric_atoms","value":2353,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2970,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7570,"base":12},"right_expr":{"type":"numeric_atoms","value":3738,"base":12}}}}},"used_operators":["Asc51vEJeQ","mp7IySMOzn","23Mk6UjR3U","3ViojmjbAp","IWmyXbctLI","Nsiff2A1zJ","XTarYq4gQB","k8jYdgA6NY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2914","layer":4},{"info":"number node, value=7260","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=7260, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7263","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2353, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2362","layer":3},{"info":"compute binary expreesion, left_input=-7263, right_input=2362, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=14526","layer":2},{"info":"number node, value=2970","layer":4},{"info":"compute unary expreesion, input=2970, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-436590","layer":3},{"info":"number node, value=7570","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=7570, right_input=3738, op_id = k8jYdgA6NY binary_op_definition= 'None', output=94","layer":3},{"info":"compute binary expreesion, left_input=-436590, right_input=94, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14526, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((⫖↰⪸182A⨓⫖↰⪸4250⋷⫖↰⪸713⪮%⊝⫖↰⪸1441)⇷(⪝⪂⫅⫖↰⪸1876)⊴(⫖↰⪸446A%⫖↰⪸21B6))=NaN","reverse_text":"NaN=↣≠⋷((⫖↰⪸182A⨓⫖↰⪸4250⋷⫖↰⪸713⪮%⊝⫖↰⪸1441)⇷(⪝⪂⫅⫖↰⪸1876)⊴(⫖↰⪸446A%⫖↰⪸21B6))","cot":[{"info":"⫖↰⪸182A⨓⫖↰⪸4250=⫖↰⪸-4253","layer":3},{"info":"⫖↰⪸713⪮%⊝⫖↰⪸1441=⫖↰⪸144A","layer":3},{"info":"⫖↰⪸-4253⋷⫖↰⪸144A=⫖↰⪸84A6","layer":2},{"info":"⪝⪂⫅⫖↰⪸1876=⫖↰⪸-1907A6","layer":3},{"info":"⫖↰⪸446A%⫖↰⪸21B6=⫖↰⪸7A","layer":3},{"info":"⫖↰⪸-1907A6⊴⫖↰⪸7A=NaN","layer":2},{"info":"⫖↰⪸84A6⇷NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"((⋗⩬⋾$1296$)∧)⫥∨⫟($2489$⫡⨏$3228$)∑⇟⊟(⨰⫟⨤$1353$)⨳⩥⨓(($1194$+$2179$)-$3342$⫸⊐$1698$)≎⊠⪸$4688$∀⇚≩$1972$⨓$1945$∼$2393$","expression":"((⋗⩬⋾⫖↰⪸900)∧)⫥∨⫟(⫖↰⪸1535⫡⨏⫖↰⪸1A50)∑⇟⊟(⨰⫟⨤⫖↰⪸949)⨳⩥⨓((⫖↰⪸836+⫖↰⪸1317)-⫖↰⪸1B26⫸⊐⫖↰⪸B96)≎⊠⪸⫖↰⪸2868∀⇚≩⫖↰⪸1184⨓⫖↰⪸1161∼⫖↰⪸1475","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":37648,"operation_count":14,"complexity_ratio":2689.1428571428573,"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":1296,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2489,"base":12},"right_expr":{"type":"numeric_atoms","value":3228,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1353,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1194,"base":12},"right_expr":{"type":"numeric_atoms","value":2179,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3342,"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":4688,"base":12},"right_expr":{"type":"numeric_atoms","value":1972,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1945,"base":12},"right_expr":{"type":"numeric_atoms","value":2393,"base":12}}}}},"used_operators":["nCS4ZIUYfx","KYD54nUTWz","z63VuFQld9","DpFCA1CohY","U7g4x0WXJJ","QMFrweE19q","Tw270M8GLb","bJkvcejdHO","rysDP5nf3Z","W4YGzv6Whe","mqXw5SEYmG","3ViojmjbAp","LRNGc0VcxI","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3888","layer":3},{"info":"compute unary expreesion, input=-3888, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=2489","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=2489, right_input=3228, 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=19684","layer":3},{"info":"number node, value=1353","layer":4},{"info":"compute unary expreesion, input=1353, 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=19684, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1194","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=2179, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3373","layer":3},{"info":"number node, value=3342","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=1698, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6667","layer":3},{"info":"compute binary expreesion, left_input=3373, right_input=6667, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3294","layer":2},{"info":"number node, value=4688","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=4688, right_input=1972, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1945","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=2393, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3294, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋗⩬⋾⫖↰⪸900)∧)⫥∨⫟(⫖↰⪸1535⫡⨏⫖↰⪸1A50)∑⇟⊟(⨰⫟⨤⫖↰⪸949)⨳⩥⨓((⫖↰⪸836+⫖↰⪸1317)-⫖↰⪸1B26⫸⊐⫖↰⪸B96)≎⊠⪸⫖↰⪸2868∀⇚≩⫖↰⪸1184⨓⫖↰⪸1161∼⫖↰⪸1475=NaN","reverse_text":"NaN=((⋗⩬⋾⫖↰⪸900)∧)⫥∨⫟(⫖↰⪸1535⫡⨏⫖↰⪸1A50)∑⇟⊟(⨰⫟⨤⫖↰⪸949)⨳⩥⨓((⫖↰⪸836+⫖↰⪸1317)-⫖↰⪸1B26⫸⊐⫖↰⪸B96)≎⊠⪸⫖↰⪸2868∀⇚≩⫖↰⪸1184⨓⫖↰⪸1161∼⫖↰⪸1475","cot":[{"info":"⋗⩬⋾⫖↰⪸900=⫖↰⪸-2300","layer":3},{"info":"⫖↰⪸-2300∧=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1535⫡⨏⫖↰⪸1A50=⫖↰⪸B484","layer":3},{"info":"⨰⫟⨤⫖↰⪸949=NaN","layer":3},{"info":"⫖↰⪸B484∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸0⫥∨⫟NaN=NaN","layer":1},{"info":"⫖↰⪸836+⫖↰⪸1317=⫖↰⪸1B51","layer":3},{"info":"⫖↰⪸1B26⫸⊐⫖↰⪸B96=⫖↰⪸3A37","layer":3},{"info":"⫖↰⪸1B51-⫖↰⪸3A37=⫖↰⪸-1AA6","layer":2},{"info":"⫖↰⪸2868∀⇚≩⫖↰⪸1184=NaN","layer":3},{"info":"⫖↰⪸1161∼⫖↰⪸1475=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⫖↰⪸-1AA6≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"NaN⨳⩥⨓⫖↰⪸57=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"($1055$⋥≓≎$2376$)⪛(⨰⫟⨤$1454$)⇷($3633$⋳⪒$1861$)⨟⋌⩍($3307$⨓$2774$)⨓((($1666$%$1313$)⫌⩹⨱)⪄(∥⊫$5251$⨳⩥⨓$2508$))","expression":"(⫖↰⪸73B⋥≓≎⫖↰⪸1460)⪛(⨰⫟⨤⫖↰⪸A12)⇷(⫖↰⪸2129⋳⪒⫖↰⪸10B1)⨟⋌⩍(⫖↰⪸1AB7⨓⫖↰⪸1732)⨓(((⫖↰⪸B6A%⫖↰⪸915)⫌⩹⨱)⪄(∥⊫⫖↰⪸3057⨳⩥⨓⫖↰⪸1550))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":315599,"operation_count":13,"complexity_ratio":24276.846153846152,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1055,"base":12},"right_expr":{"type":"numeric_atoms","value":2376,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1454,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3633,"base":12},"right_expr":{"type":"numeric_atoms","value":1861,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3307,"base":12},"right_expr":{"type":"numeric_atoms","value":2774,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1666,"base":12},"right_expr":{"type":"numeric_atoms","value":1313,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5251,"base":12},"right_expr":{"type":"numeric_atoms","value":2508,"base":12}}}}},"used_operators":["3ViojmjbAp","mp7IySMOzn","uFcxV4UQCh","Qy55tPpLXF","Tw270M8GLb","rGHVDoGpnC","12rbrZMWeM","SUmda5xLS4","EBcxylXtPf","k8jYdgA6NY","P8v4zCKN1o","nCS4ZIUYfx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-12A0A4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2376, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3730","layer":3},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, 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=3730, 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=3633","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=1861, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5118","layer":3},{"info":"number node, value=3307","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=2774, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2777","layer":3},{"info":"compute binary expreesion, left_input=5118, right_input=-2777, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1666","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=1313, op_id = k8jYdgA6NY binary_op_definition= 'None', output=353","layer":3},{"info":"compute unary expreesion, input=353, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=2107","layer":2},{"info":"number node, value=5251","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=5251, right_input=2508, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2743","layer":3},{"info":"compute unary expreesion, input=-2743, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=2107, right_input=-55, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-307705","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-307705, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-307708","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸73B⋥≓≎⫖↰⪸1460)⪛(⨰⫟⨤⫖↰⪸A12)⇷(⫖↰⪸2129⋳⪒⫖↰⪸10B1)⨟⋌⩍(⫖↰⪸1AB7⨓⫖↰⪸1732)⨓(((⫖↰⪸B6A%⫖↰⪸915)⫌⩹⨱)⪄(∥⊫⫖↰⪸3057⨳⩥⨓⫖↰⪸1550))=⫖↰⪸-12A0A4","reverse_text":"⫖↰⪸-12A0A4=(⫖↰⪸73B⋥≓≎⫖↰⪸1460)⪛(⨰⫟⨤⫖↰⪸A12)⇷(⫖↰⪸2129⋳⪒⫖↰⪸10B1)⨟⋌⩍(⫖↰⪸1AB7⨓⫖↰⪸1732)⨓(((⫖↰⪸B6A%⫖↰⪸915)⫌⩹⨱)⪄(∥⊫⫖↰⪸3057⨳⩥⨓⫖↰⪸1550))","cot":[{"info":"⫖↰⪸73B⋥≓≎⫖↰⪸1460=⫖↰⪸21AA","layer":3},{"info":"⨰⫟⨤⫖↰⪸A12=NaN","layer":3},{"info":"⫖↰⪸21AA⪛NaN=NaN","layer":2},{"info":"⫖↰⪸2129⋳⪒⫖↰⪸10B1=⫖↰⪸2B66","layer":3},{"info":"⫖↰⪸1AB7⨓⫖↰⪸1732=⫖↰⪸-1735","layer":3},{"info":"⫖↰⪸2B66⨟⋌⩍⫖↰⪸-1735=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⫖↰⪸B6A%⫖↰⪸915=⫖↰⪸255","layer":3},{"info":"⫖↰⪸255⫌⩹⨱=⫖↰⪸1277","layer":2},{"info":"⫖↰⪸3057⨳⩥⨓⫖↰⪸1550=⫖↰⪸-1707","layer":3},{"info":"∥⊫⫖↰⪸-1707=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸1277⪄⫖↰⪸-47=⫖↰⪸-12A0A1","layer":1},{"info":"NaN⨓⫖↰⪸-12A0A1=⫖↰⪸-12A0A4","layer":0}]}
{"id":917,"expression_no_base_symbol":"$2019$⩨$2386$⨵⪆$4954$⇼⇔∾$3463$⫡⨏(↔$1653$)↙$9666$⩷∴$5076$⪨≂((⨵≀≌($2699$⊭∹↮))≣⋋)","expression":"⫖↰⪸1203⩨⫖↰⪸146A⨵⪆⫖↰⪸2A4A⇼⇔∾⫖↰⪸2007⫡⨏(↔⫖↰⪸B59)↙⫖↰⪸5716⩷∴⫖↰⪸2B30⪨≂((⨵≀≌(⫖↰⪸168B⊭∹↮))≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":556,"operation_count":11,"complexity_ratio":50.54545454545455,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2019,"base":12},"right_expr":{"type":"numeric_atoms","value":2386,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4954,"base":12},"right_expr":{"type":"numeric_atoms","value":3463,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1653,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":9666,"base":12},"right_expr":{"type":"numeric_atoms","value":5076,"base":12}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2699,"base":12}}}}},"used_operators":["sdazOOVcIp","QMFrweE19q","2DQ55sFlQl","2DlMacCsIx","tifHPKVTfV","yyfyN0ffXY","ruOEQAzv1W","9FxExcQeMw","Tcnh7f0tEr","srAu1WTS94","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-1378","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=2386, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4954","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=3463, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1491","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1491, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1653","layer":4},{"info":"compute unary expreesion, input=1653, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1380","layer":3},{"info":"number node, value=9666","layer":4},{"info":"number node, value=5076","layer":4},{"info":"compute binary expreesion, left_input=9666, right_input=5076, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9148","layer":3},{"info":"compute binary expreesion, left_input=-1380, right_input=9148, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1380","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1380, 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=-1177","layer":1},{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5398","layer":3},{"info":"compute unary expreesion, input=5398, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16194","layer":2},{"info":"compute unary expreesion, input=-16194, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1177, 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=-2252","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1203⩨⫖↰⪸146A⨵⪆⫖↰⪸2A4A⇼⇔∾⫖↰⪸2007⫡⨏(↔⫖↰⪸B59)↙⫖↰⪸5716⩷∴⫖↰⪸2B30⪨≂((⨵≀≌(⫖↰⪸168B⊭∹↮))≣⋋)=⫖↰⪸-1378","reverse_text":"⫖↰⪸-1378=⫖↰⪸1203⩨⫖↰⪸146A⨵⪆⫖↰⪸2A4A⇼⇔∾⫖↰⪸2007⫡⨏(↔⫖↰⪸B59)↙⫖↰⪸5716⩷∴⫖↰⪸2B30⪨≂((⨵≀≌(⫖↰⪸168B⊭∹↮))≣⋋)","cot":[{"info":"⫖↰⪸1203⩨⫖↰⪸146A=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸2A4A⇼⇔∾⫖↰⪸2007=⫖↰⪸-A43","layer":3},{"info":"⫖↰⪸-3⨵⪆⫖↰⪸-A43=⫖↰⪸114","layer":2},{"info":"↔⫖↰⪸B59=⫖↰⪸-970","layer":3},{"info":"⫖↰⪸5716⩷∴⫖↰⪸2B30=⫖↰⪸5364","layer":3},{"info":"⫖↰⪸-970↙⫖↰⪸5364=⫖↰⪸-970","layer":2},{"info":"⫖↰⪸114⫡⨏⫖↰⪸-970=⫖↰⪸-821","layer":1},{"info":"⫖↰⪸168B⊭∹↮=⫖↰⪸315A","layer":3},{"info":"⨵≀≌⫖↰⪸315A=⫖↰⪸-9456","layer":2},{"info":"⫖↰⪸-9456≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-821⪨≂⫖↰⪸0=⫖↰⪸-1378","layer":0}]}
{"id":918,"expression_no_base_symbol":"($8509$∑⇟⊟$1195$⨐⩸⫘$2844$⨽$1484$)≎⊠⪸($3121$↺$1268$)⇷($2274$⊭↱$1389$)≭(⩦⩻⨪($4181$⇷$4702$)∼($3063$⪒$2651$))","expression":"(⫖↰⪸4B11∑⇟⊟⫖↰⪸837⨐⩸⫘⫖↰⪸1790⨽⫖↰⪸A38)≎⊠⪸(⫖↰⪸1981↺⫖↰⪸898)⇷(⫖↰⪸1396⊭↱⫖↰⪸979)≭(⩦⩻⨪(⫖↰⪸2505⇷⫖↰⪸287A)∼(⫖↰⪸1933⪒⫖↰⪸164B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":79367,"operation_count":12,"complexity_ratio":6613.916666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8509,"base":12},"right_expr":{"type":"numeric_atoms","value":1195,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2844,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3121,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2274,"base":12},"right_expr":{"type":"numeric_atoms","value":1389,"base":12}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4181,"base":12},"right_expr":{"type":"numeric_atoms","value":4702,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3063,"base":12},"right_expr":{"type":"numeric_atoms","value":2651,"base":12}}}}},"used_operators":["rxpJgHHUmx","bJkvcejdHO","fu6greOZ01","U7g4x0WXJJ","8HhzD0ZcuI","mp7IySMOzn","7j4O788W3g","COABgblf1C","2td37pGCOC","DyGG3AbaNP","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8509","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=8509, right_input=1195, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2844","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=1484, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24268146","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24268146, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3121","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=1268, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1268","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1389, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1765","layer":3},{"info":"compute binary expreesion, left_input=1268, right_input=-1765, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4181","layer":4},{"info":"number node, value=4702","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=4702, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9404","layer":3},{"info":"number node, value=3063","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=2651, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5714","layer":3},{"info":"compute binary expreesion, left_input=9404, right_input=-5714, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4B11∑⇟⊟⫖↰⪸837⨐⩸⫘⫖↰⪸1790⨽⫖↰⪸A38)≎⊠⪸(⫖↰⪸1981↺⫖↰⪸898)⇷(⫖↰⪸1396⊭↱⫖↰⪸979)≭(⩦⩻⨪(⫖↰⪸2505⇷⫖↰⪸287A)∼(⫖↰⪸1933⪒⫖↰⪸164B))=NaN","reverse_text":"NaN=(⫖↰⪸4B11∑⇟⊟⫖↰⪸837⨐⩸⫘⫖↰⪸1790⨽⫖↰⪸A38)≎⊠⪸(⫖↰⪸1981↺⫖↰⪸898)⇷(⫖↰⪸1396⊭↱⫖↰⪸979)≭(⩦⩻⨪(⫖↰⪸2505⇷⫖↰⪸287A)∼(⫖↰⪸1933⪒⫖↰⪸164B))","cot":[{"info":"⫖↰⪸4B11∑⇟⊟⫖↰⪸837=NaN","layer":3},{"info":"⫖↰⪸1790⨽⫖↰⪸A38=⫖↰⪸-8164096","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸-8164096=NaN","layer":2},{"info":"⫖↰⪸1981↺⫖↰⪸898=⫖↰⪸898","layer":3},{"info":"⫖↰⪸1396⊭↱⫖↰⪸979=⫖↰⪸-1031","layer":3},{"info":"⫖↰⪸898⇷⫖↰⪸-1031=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸2505⇷⫖↰⪸287A=⫖↰⪸5538","layer":3},{"info":"⫖↰⪸1933⪒⫖↰⪸164B=⫖↰⪸-3382","layer":3},{"info":"⫖↰⪸5538∼⫖↰⪸-3382=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫖↰⪸57≭NaN=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"(⊙↵-$2185$)⪮%⊝($2045$⨪↰⇹$2665$)⨐⩸⫘($2565$⊭∹↮)⇷($7132$∑⇟⊟$1940$)∲⫓(⨑⩽⪐(⨰⫟⨤$1201$)⫥∨⫟$5143$⇷$6883$)","expression":"(⊙↵-⫖↰⪸1321)⪮%⊝(⫖↰⪸1225⨪↰⇹⫖↰⪸1661)⨐⩸⫘(⫖↰⪸1599⊭∹↮)⇷(⫖↰⪸4164∑⇟⊟⫖↰⪸1158)∲⫓(⨑⩽⪐(⨰⫟⨤⫖↰⪸841)⫥∨⫟⫖↰⪸2B87⇷⫖↰⪸3B97)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":152254,"operation_count":12,"complexity_ratio":12687.833333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2185,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2045,"base":12},"right_expr":{"type":"numeric_atoms","value":2665,"base":12}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2565,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7132,"base":12},"right_expr":{"type":"numeric_atoms","value":1940,"base":12}}}},"right_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":5143,"base":12},"right_expr":{"type":"numeric_atoms","value":6883,"base":12}}}}},"used_operators":["i8ToyICDmI","fu6greOZ01","IWmyXbctLI","oWn0xqSxBt","tmPS8pqC7x","mp7IySMOzn","xNBdhnnwKq","U7g4x0WXJJ","AF7qkfDlqP","KYD54nUTWz","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2185","layer":4},{"info":"compute unary expreesion, input=2185, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2045","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=2665, 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=2045","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2045, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=314","layer":2},{"info":"number node, value=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5130","layer":3},{"info":"number node, value=7132","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=7132, right_input=1940, 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=5130, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=314, 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=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5143","layer":4},{"info":"number node, value=6883","layer":4},{"info":"compute binary expreesion, left_input=5143, right_input=6883, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13766","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13766, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"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":"(⊙↵-⫖↰⪸1321)⪮%⊝(⫖↰⪸1225⨪↰⇹⫖↰⪸1661)⨐⩸⫘(⫖↰⪸1599⊭∹↮)⇷(⫖↰⪸4164∑⇟⊟⫖↰⪸1158)∲⫓(⨑⩽⪐(⨰⫟⨤⫖↰⪸841)⫥∨⫟⫖↰⪸2B87⇷⫖↰⪸3B97)=NaN","reverse_text":"NaN=(⊙↵-⫖↰⪸1321)⪮%⊝(⫖↰⪸1225⨪↰⇹⫖↰⪸1661)⨐⩸⫘(⫖↰⪸1599⊭∹↮)⇷(⫖↰⪸4164∑⇟⊟⫖↰⪸1158)∲⫓(⨑⩽⪐(⨰⫟⨤⫖↰⪸841)⫥∨⫟⫖↰⪸2B87⇷⫖↰⪸3B97)","cot":[{"info":"⊙↵-⫖↰⪸1321=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1225⨪↰⇹⫖↰⪸1661=⫖↰⪸1225","layer":3},{"info":"⫖↰⪸-1⪮%⊝⫖↰⪸1225=⫖↰⪸222","layer":2},{"info":"⫖↰⪸1599⊭∹↮=⫖↰⪸2B76","layer":3},{"info":"⫖↰⪸4164∑⇟⊟⫖↰⪸1158=NaN","layer":3},{"info":"⫖↰⪸2B76⇷NaN=NaN","layer":2},{"info":"⫖↰⪸222⨐⩸⫘NaN=NaN","layer":1},{"info":"⨰⫟⨤⫖↰⪸841=NaN","layer":3},{"info":"⫖↰⪸2B87⇷⫖↰⪸3B97=⫖↰⪸7B72","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸7B72=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":920,"expression_no_base_symbol":"(⋗⩬⋾((+⊝⨔$3485$)∲⫓($1847$⨵⪆$4089$)))*(↽≂($2414$⨵⪆$5273$))≧⫂∧($8722$⩷∴$3241$⨁⊸⫻)","expression":"(⋗⩬⋾((+⊝⨔⫖↰⪸2025)∲⫓(⫖↰⪸109B⨵⪆⫖↰⪸2449)))*(↽≂(⫖↰⪸1492⨵⪆⫖↰⪸3075))≧⫂∧(⫖↰⪸506A⩷∴⫖↰⪸1A61⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4623,"operation_count":10,"complexity_ratio":462.3,"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":3485,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1847,"base":12},"right_expr":{"type":"numeric_atoms","value":4089,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2414,"base":12},"right_expr":{"type":"numeric_atoms","value":5273,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8722,"base":12},"right_expr":{"type":"numeric_atoms","value":3241,"base":12}}}}},"used_operators":["9HNa5Wba9A","DpFCA1CohY","i8ToyICDmI","DhbWaqg5eL","2DQ55sFlQl","Ph9nP6C5qx","u6S6b8DprG","glklzrTFfD","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⫖↰⪸-13BA7206","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3485","layer":4},{"info":"compute unary expreesion, input=3485, 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=1847","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=4089, 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=1522, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4566","layer":1},{"info":"number node, value=2414","layer":4},{"info":"number node, value=5273","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=5273, 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 = 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=8722","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=8722, right_input=3241, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10930","layer":3},{"info":"compute unary expreesion, input=10930, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=10930","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=10930, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10457","layer":1},{"info":"compute binary expreesion, left_input=-4566, right_input=10457, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-47746662","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾((+⊝⨔⫖↰⪸2025)∲⫓(⫖↰⪸109B⨵⪆⫖↰⪸2449)))*(↽≂(⫖↰⪸1492⨵⪆⫖↰⪸3075))≧⫂∧(⫖↰⪸506A⩷∴⫖↰⪸1A61⨁⊸⫻)=⫖↰⪸-13BA7206","reverse_text":"⫖↰⪸-13BA7206=(⋗⩬⋾((+⊝⨔⫖↰⪸2025)∲⫓(⫖↰⪸109B⨵⪆⫖↰⪸2449)))*(↽≂(⫖↰⪸1492⨵⪆⫖↰⪸3075))≧⫂∧(⫖↰⪸506A⩷∴⫖↰⪸1A61⨁⊸⫻)","cot":[{"info":"+⊝⨔⫖↰⪸2025=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸109B⨵⪆⫖↰⪸2449=⫖↰⪸114","layer":3},{"info":"⫖↰⪸A6A∲⫓⫖↰⪸114=⫖↰⪸A6A","layer":2},{"info":"⋗⩬⋾⫖↰⪸A6A=⫖↰⪸-2786","layer":1},{"info":"⫖↰⪸1492⨵⪆⫖↰⪸3075=⫖↰⪸114","layer":3},{"info":"↽≂⫖↰⪸114=⫖↰⪸-228","layer":2},{"info":"⫖↰⪸506A⩷∴⫖↰⪸1A61=⫖↰⪸63AA","layer":3},{"info":"⫖↰⪸63AA⨁⊸⫻=⫖↰⪸63AA","layer":2},{"info":"⫖↰⪸-228≧⫂∧⫖↰⪸63AA=⫖↰⪸6075","layer":1},{"info":"⫖↰⪸-2786*⫖↰⪸6075=⫖↰⪸-13BA7206","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($1710$⨳⩥⨓$3228$)⋓($5631$⪨≂$4160$)/($1440$⫡⨏$1007$)⨽$3986$⨪↰⇹$5737$)⨸⪁((⪝⪂⫅$2428$⨪↰⇹$8095$)⋷(↩(↥$3253$)))","expression":"((⫖↰⪸BA6⨳⩥⨓⫖↰⪸1A50)⋓(⫖↰⪸3313⪨≂⫖↰⪸24A8)/(⫖↰⪸A00⫡⨏⫖↰⪸6BB)⨽⫖↰⪸2382⨪↰⇹⫖↰⪸33A1)⨸⪁((⪝⪂⫅⫖↰⪸14A4⨪↰⇹⫖↰⪸4827)⋷(↩(↥⫖↰⪸1A71)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16683,"operation_count":13,"complexity_ratio":1283.3076923076924,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1710,"base":12},"right_expr":{"type":"numeric_atoms","value":3228,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5631,"base":12},"right_expr":{"type":"numeric_atoms","value":4160,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1440,"base":12},"right_expr":{"type":"numeric_atoms","value":1007,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3986,"base":12},"right_expr":{"type":"numeric_atoms","value":5737,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2428,"base":12},"right_expr":{"type":"numeric_atoms","value":8095,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3253,"base":12}}}}},"used_operators":["g55IO6H4Gj","XhwjNDsVaA","T2fj7uvVaJ","nCS4ZIUYfx","sdazOOVcIp","8HhzD0ZcuI","QMFrweE19q","tmPS8pqC7x","23Mk6UjR3U","XTarYq4gQB","jLgFTUHLKL","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY"],"result":"⫖↰⪸58A240","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=3228, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1518","layer":3},{"info":"number node, value=5631","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=4160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3044","layer":3},{"info":"compute binary expreesion, left_input=1518, right_input=3044, 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=1440","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=1007, 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=9997","layer":3},{"info":"number node, value=3986","layer":4},{"info":"number node, value=5737","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=5737, 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=3986","layer":3},{"info":"compute binary expreesion, left_input=9997, right_input=3986, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-299830671","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-299830671, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2428","layer":4},{"info":"number node, value=8095","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=8095, 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=2428","layer":3},{"info":"compute unary expreesion, input=2428, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-356916","layer":2},{"info":"number node, value=3253","layer":4},{"info":"compute unary expreesion, input=3253, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute unary expreesion, input=40, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2460","layer":2},{"info":"compute binary expreesion, left_input=-356916, right_input=2460, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=713832","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=713832, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1427664","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸BA6⨳⩥⨓⫖↰⪸1A50)⋓(⫖↰⪸3313⪨≂⫖↰⪸24A8)/(⫖↰⪸A00⫡⨏⫖↰⪸6BB)⨽⫖↰⪸2382⨪↰⇹⫖↰⪸33A1)⨸⪁((⪝⪂⫅⫖↰⪸14A4⨪↰⇹⫖↰⪸4827)⋷(↩(↥⫖↰⪸1A71)))=⫖↰⪸58A240","reverse_text":"⫖↰⪸58A240=((⫖↰⪸BA6⨳⩥⨓⫖↰⪸1A50)⋓(⫖↰⪸3313⪨≂⫖↰⪸24A8)/(⫖↰⪸A00⫡⨏⫖↰⪸6BB)⨽⫖↰⪸2382⨪↰⇹⫖↰⪸33A1)⨸⪁((⪝⪂⫅⫖↰⪸14A4⨪↰⇹⫖↰⪸4827)⋷(↩(↥⫖↰⪸1A71)))","cot":[{"info":"⫖↰⪸BA6⨳⩥⨓⫖↰⪸1A50=⫖↰⪸A66","layer":3},{"info":"⫖↰⪸3313⪨≂⫖↰⪸24A8=⫖↰⪸1918","layer":3},{"info":"⫖↰⪸A66⋓⫖↰⪸1918=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A00⫡⨏⫖↰⪸6BB=⫖↰⪸5951","layer":3},{"info":"⫖↰⪸2382⨪↰⇹⫖↰⪸33A1=⫖↰⪸2382","layer":3},{"info":"⫖↰⪸5951⨽⫖↰⪸2382=⫖↰⪸-844B5153","layer":2},{"info":"⫖↰⪸0/⫖↰⪸-844B5153=⫖↰⪸0","layer":1},{"info":"⫖↰⪸14A4⨪↰⇹⫖↰⪸4827=⫖↰⪸14A4","layer":3},{"info":"⪝⪂⫅⫖↰⪸14A4=⫖↰⪸-152670","layer":2},{"info":"↥⫖↰⪸1A71=⫖↰⪸34","layer":3},{"info":"↩⫖↰⪸34=⫖↰⪸1510","layer":2},{"info":"⫖↰⪸-152670⋷⫖↰⪸1510=⫖↰⪸2A5120","layer":1},{"info":"⫖↰⪸0⨸⪁⫖↰⪸2A5120=⫖↰⪸58A240","layer":0}]}
{"id":922,"expression_no_base_symbol":"((≤/$3455$)⋝⋈⪟($1306$*$6803$)+⇶⊼($1057$⨎$5470$↙($6408$⪨≂$1477$)))⨪↰⇹($3292$⊴$4467$↬($3981$+⇶⊼$3879$))⊴($3220$⫸⊐$1233$∲⫓$6330$∑⇟⊟$3839$)","expression":"((≤/⫖↰⪸1BBB)⋝⋈⪟(⫖↰⪸90A*⫖↰⪸3B2B)+⇶⊼(⫖↰⪸741⨎⫖↰⪸31BA↙(⫖↰⪸3860⪨≂⫖↰⪸A31)))⨪↰⇹(⫖↰⪸1AA4⊴⫖↰⪸2703↬(⫖↰⪸2379+⇶⊼⫖↰⪸22B3))⊴(⫖↰⪸1A44⫸⊐⫖↰⪸869∲⫓⫖↰⪸37B6∑⇟⊟⫖↰⪸227B)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15794,"operation_count":15,"complexity_ratio":1052.9333333333334,"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":3455,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1306,"base":12},"right_expr":{"type":"numeric_atoms","value":6803,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1057,"base":12},"right_expr":{"type":"numeric_atoms","value":5470,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6408,"base":12},"right_expr":{"type":"numeric_atoms","value":1477,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3292,"base":12},"right_expr":{"type":"numeric_atoms","value":4467,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3981,"base":12},"right_expr":{"type":"numeric_atoms","value":3879,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3220,"base":12},"right_expr":{"type":"numeric_atoms","value":1233,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6330,"base":12},"right_expr":{"type":"numeric_atoms","value":3839,"base":12}}}}},"used_operators":["tmPS8pqC7x","TpPTUOHfaN","2DDjHMKMc0","eLAdDNolq6","9HNa5Wba9A","yyfyN0ffXY","rJVOvQCfKK","sdazOOVcIp","Nsiff2A1zJ","B5M0gjZbta","i8ToyICDmI","mqXw5SEYmG","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3455","layer":4},{"info":"compute unary expreesion, input=3455, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2971","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=6803","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=6803, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8884718","layer":3},{"info":"compute binary expreesion, left_input=-2971, right_input=8884718, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2971","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=5470","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=5470, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5470","layer":3},{"info":"number node, value=6408","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=6408, right_input=1477, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9964","layer":3},{"info":"compute binary expreesion, left_input=5470, right_input=9964, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-29892","layer":2},{"info":"compute binary expreesion, left_input=-2971, right_input=-29892, 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=3292","layer":4},{"info":"number node, value=4467","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=4467, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3981","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=3981, right_input=3879, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3220","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=3220, right_input=1233, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4807","layer":3},{"info":"number node, value=6330","layer":4},{"info":"number node, value=3839","layer":4},{"info":"compute binary expreesion, left_input=6330, right_input=3839, 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=4807, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≤/⫖↰⪸1BBB)⋝⋈⪟(⫖↰⪸90A*⫖↰⪸3B2B)+⇶⊼(⫖↰⪸741⨎⫖↰⪸31BA↙(⫖↰⪸3860⪨≂⫖↰⪸A31)))⨪↰⇹(⫖↰⪸1AA4⊴⫖↰⪸2703↬(⫖↰⪸2379+⇶⊼⫖↰⪸22B3))⊴(⫖↰⪸1A44⫸⊐⫖↰⪸869∲⫓⫖↰⪸37B6∑⇟⊟⫖↰⪸227B)=NaN","reverse_text":"NaN=((≤/⫖↰⪸1BBB)⋝⋈⪟(⫖↰⪸90A*⫖↰⪸3B2B)+⇶⊼(⫖↰⪸741⨎⫖↰⪸31BA↙(⫖↰⪸3860⪨≂⫖↰⪸A31)))⨪↰⇹(⫖↰⪸1AA4⊴⫖↰⪸2703↬(⫖↰⪸2379+⇶⊼⫖↰⪸22B3))⊴(⫖↰⪸1A44⫸⊐⫖↰⪸869∲⫓⫖↰⪸37B6∑⇟⊟⫖↰⪸227B)","cot":[{"info":"≤/⫖↰⪸1BBB=⫖↰⪸-1877","layer":3},{"info":"⫖↰⪸90A*⫖↰⪸3B2B=⫖↰⪸2B85752","layer":3},{"info":"⫖↰⪸-1877⋝⋈⪟⫖↰⪸2B85752=⫖↰⪸-1877","layer":2},{"info":"⫖↰⪸741⨎⫖↰⪸31BA=⫖↰⪸31BA","layer":3},{"info":"⫖↰⪸3860⪨≂⫖↰⪸A31=⫖↰⪸5924","layer":3},{"info":"⫖↰⪸31BA↙⫖↰⪸5924=⫖↰⪸-15370","layer":2},{"info":"⫖↰⪸-1877+⇶⊼⫖↰⪸-15370=NaN","layer":1},{"info":"⫖↰⪸1AA4⊴⫖↰⪸2703=NaN","layer":3},{"info":"⫖↰⪸2379+⇶⊼⫖↰⪸22B3=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⫖↰⪸1A44⫸⊐⫖↰⪸869=⫖↰⪸2947","layer":3},{"info":"⫖↰⪸37B6∑⇟⊟⫖↰⪸227B=NaN","layer":3},{"info":"⫖↰⪸2947∲⫓NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(($1268$≋⫹)⊦⊿)⨓($1669$⪛$3162$)⨟⋌⩍($6344$⊉≛↸$4301$)≧⫂∧(⨵≀≌($3769$⪠⩆⊳)∼($7986$⇷$5456$))","expression":"((⫖↰⪸898≋⫹)⊦⊿)⨓(⫖↰⪸B71⪛⫖↰⪸19B6)⨟⋌⩍(⫖↰⪸3808⊉≛↸⫖↰⪸25A5)≧⫂∧(⨵≀≌(⫖↰⪸2221⪠⩆⊳)∼(⫖↰⪸4756⇷⫖↰⪸31A8))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":111846,"operation_count":11,"complexity_ratio":10167.818181818182,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1268,"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":3162,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6344,"base":12},"right_expr":{"type":"numeric_atoms","value":4301,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3769,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7986,"base":12},"right_expr":{"type":"numeric_atoms","value":5456,"base":12}}}}},"used_operators":["Ph9nP6C5qx","3ViojmjbAp","14qkJME0vr","N41Kp7NANJ","rGHVDoGpnC","uFcxV4UQCh","DZ8iAZOCBD","srAu1WTS94","DyGG3AbaNP","JLbD19bQDL","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2536","layer":3},{"info":"compute unary expreesion, input=-2536, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=7529","layer":2},{"info":"number node, value=1669","layer":4},{"info":"number node, value=3162","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=3162, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1669","layer":3},{"info":"number node, value=6344","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=6344, right_input=4301, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12688","layer":3},{"info":"compute binary expreesion, left_input=1669, right_input=12688, 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=7529, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=3769","layer":4},{"info":"compute unary expreesion, input=3769, 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=7986","layer":4},{"info":"number node, value=5456","layer":4},{"info":"compute binary expreesion, left_input=7986, right_input=5456, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10912","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10912, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾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":"((⫖↰⪸898≋⫹)⊦⊿)⨓(⫖↰⪸B71⪛⫖↰⪸19B6)⨟⋌⩍(⫖↰⪸3808⊉≛↸⫖↰⪸25A5)≧⫂∧(⨵≀≌(⫖↰⪸2221⪠⩆⊳)∼(⫖↰⪸4756⇷⫖↰⪸31A8))=NaN","reverse_text":"NaN=((⫖↰⪸898≋⫹)⊦⊿)⨓(⫖↰⪸B71⪛⫖↰⪸19B6)⨟⋌⩍(⫖↰⪸3808⊉≛↸⫖↰⪸25A5)≧⫂∧(⨵≀≌(⫖↰⪸2221⪠⩆⊳)∼(⫖↰⪸4756⇷⫖↰⪸31A8))","cot":[{"info":"⫖↰⪸898≋⫹=⫖↰⪸-1574","layer":3},{"info":"⫖↰⪸-1574⊦⊿=⫖↰⪸4435","layer":2},{"info":"⫖↰⪸B71⪛⫖↰⪸19B6=⫖↰⪸B71","layer":3},{"info":"⫖↰⪸3808⊉≛↸⫖↰⪸25A5=⫖↰⪸7414","layer":3},{"info":"⫖↰⪸B71⨟⋌⩍⫖↰⪸7414=NaN","layer":2},{"info":"⫖↰⪸4435⨓NaN=NaN","layer":1},{"info":"⫖↰⪸2221⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4756⇷⫖↰⪸31A8=⫖↰⪸6394","layer":3},{"info":"⫖↰⪸0∼⫖↰⪸6394=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"(⨰⫟⨤(($2181$↺$1196$)⨰(≦∁$4205$)))⨰(+⊝⨔(⩦⩻⨪$3397$⇷$3684$))","expression":"(⨰⫟⨤((⫖↰⪸1319↺⫖↰⪸838)⨰(≦∁⫖↰⪸2525)))⨰(+⊝⨔(⩦⩻⨪⫖↰⪸1B71⇷⫖↰⪸2170))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60510,"operation_count":8,"complexity_ratio":7563.75,"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":2181,"base":12},"right_expr":{"type":"numeric_atoms","value":1196,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4205,"base":12}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3397,"base":12},"right_expr":{"type":"numeric_atoms","value":3684,"base":12}}}}},"used_operators":["eewbuw0ToL","Tw270M8GLb","7j4O788W3g","9ICcGScMcE","DhbWaqg5eL","2td37pGCOC","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2181","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=1196, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1196","layer":3},{"info":"number node, value=4205","layer":4},{"info":"compute unary expreesion, input=4205, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4205","layer":3},{"info":"compute binary expreesion, left_input=1196, right_input=4205, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2999","layer":2},{"info":"compute unary expreesion, input=-2999, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3397","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=3684, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7368","layer":3},{"info":"compute unary expreesion, input=7368, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7368","layer":2},{"info":"compute unary expreesion, input=7368, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤((⫖↰⪸1319↺⫖↰⪸838)⨰(≦∁⫖↰⪸2525)))⨰(+⊝⨔(⩦⩻⨪⫖↰⪸1B71⇷⫖↰⪸2170))=NaN","reverse_text":"NaN=(⨰⫟⨤((⫖↰⪸1319↺⫖↰⪸838)⨰(≦∁⫖↰⪸2525)))⨰(+⊝⨔(⩦⩻⨪⫖↰⪸1B71⇷⫖↰⪸2170))","cot":[{"info":"⫖↰⪸1319↺⫖↰⪸838=⫖↰⪸838","layer":3},{"info":"≦∁⫖↰⪸2525=⫖↰⪸2525","layer":3},{"info":"⫖↰⪸838⨰⫖↰⪸2525=⫖↰⪸-189B","layer":2},{"info":"⨰⫟⨤⫖↰⪸-189B=NaN","layer":1},{"info":"⫖↰⪸1B71⇷⫖↰⪸2170=⫖↰⪸4320","layer":3},{"info":"⩦⩻⨪⫖↰⪸4320=⫖↰⪸4320","layer":2},{"info":"+⊝⨔⫖↰⪸4320=⫖↰⪸A6A","layer":1},{"info":"NaN⨰⫖↰⪸A6A=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"(((⨈⫕$1921$)≦≮≮)≋⫹)⇷(($1039$⨓$3303$∲⫓(↥$1519$))⨸⪁$1943$⋓$1105$≭($4716$⨽$7027$))","expression":"(((⨈⫕⫖↰⪸1141)≦≮≮)≋⫹)⇷((⫖↰⪸727⨓⫖↰⪸1AB3∲⫓(↥⫖↰⪸A67))⨸⪁⫖↰⪸115B⋓⫖↰⪸781≭(⫖↰⪸2890⨽⫖↰⪸4097))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10243,"operation_count":11,"complexity_ratio":931.1818181818181,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1921,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1039,"base":12},"right_expr":{"type":"numeric_atoms","value":3303,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1519,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1943,"base":12},"right_expr":{"type":"numeric_atoms","value":1105,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4716,"base":12},"right_expr":{"type":"numeric_atoms","value":7027,"base":12}}}}},"used_operators":["mp7IySMOzn","N41Kp7NANJ","D4vGDi5EA2","megm06wKyl","g55IO6H4Gj","i8ToyICDmI","3ViojmjbAp","A8NUZmVepG","rxpJgHHUmx","T2fj7uvVaJ","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1921","layer":4},{"info":"compute unary expreesion, input=1921, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=63","layer":2},{"info":"compute unary expreesion, input=63, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-126","layer":1},{"info":"number node, value=1039","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3303, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3306","layer":3},{"info":"number node, value=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute binary expreesion, left_input=-3306, right_input=40, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3306","layer":2},{"info":"number node, value=1943","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=1105, 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=4716","layer":4},{"info":"number node, value=7027","layer":4},{"info":"compute binary expreesion, left_input=4716, right_input=7027, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-66741735","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-66741735, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3306, 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=-126, 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":"(((⨈⫕⫖↰⪸1141)≦≮≮)≋⫹)⇷((⫖↰⪸727⨓⫖↰⪸1AB3∲⫓(↥⫖↰⪸A67))⨸⪁⫖↰⪸115B⋓⫖↰⪸781≭(⫖↰⪸2890⨽⫖↰⪸4097))=NaN","reverse_text":"NaN=(((⨈⫕⫖↰⪸1141)≦≮≮)≋⫹)⇷((⫖↰⪸727⨓⫖↰⪸1AB3∲⫓(↥⫖↰⪸A67))⨸⪁⫖↰⪸115B⋓⫖↰⪸781≭(⫖↰⪸2890⨽⫖↰⪸4097))","cot":[{"info":"⨈⫕⫖↰⪸1141=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-19≦≮≮=⫖↰⪸53","layer":2},{"info":"⫖↰⪸53≋⫹=⫖↰⪸-A6","layer":1},{"info":"⫖↰⪸727⨓⫖↰⪸1AB3=⫖↰⪸-1AB6","layer":3},{"info":"↥⫖↰⪸A67=⫖↰⪸34","layer":3},{"info":"⫖↰⪸-1AB6∲⫓⫖↰⪸34=⫖↰⪸-1AB6","layer":2},{"info":"⫖↰⪸115B⋓⫖↰⪸781=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2890⨽⫖↰⪸4097=⫖↰⪸-1A427833","layer":3},{"info":"⫖↰⪸0≭⫖↰⪸-1A427833=NaN","layer":2},{"info":"⫖↰⪸-1AB6⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸-A6⇷NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"($3638$∑⇟⊟$1946$/(⨈⫕$1951$))⋓($3713$∀⇚≩$1452$⋷$5403$⩷∴$5649$)⩷∴((⪝⪂⫅($2634$+⇶⊼$1082$))⋷((⨵≀≌$1777$)⋫))","expression":"(⫖↰⪸2132∑⇟⊟⫖↰⪸1162/(⨈⫕⫖↰⪸1167))⋓(⫖↰⪸2195∀⇚≩⫖↰⪸A10⋷⫖↰⪸3163⩷∴⫖↰⪸3329)⩷∴((⪝⪂⫅(⫖↰⪸1636+⇶⊼⫖↰⪸762))⋷((⨵≀≌⫖↰⪸1041)⋫))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31747,"operation_count":13,"complexity_ratio":2442.076923076923,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3638,"base":12},"right_expr":{"type":"numeric_atoms","value":1946,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1951,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3713,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5403,"base":12},"right_expr":{"type":"numeric_atoms","value":5649,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2634,"base":12},"right_expr":{"type":"numeric_atoms","value":1082,"base":12}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1777,"base":12}}}}},"used_operators":["9FxExcQeMw","T2fj7uvVaJ","XhwjNDsVaA","U7g4x0WXJJ","megm06wKyl","23Mk6UjR3U","LRNGc0VcxI","XTarYq4gQB","TpPTUOHfaN","JL8yIekQnl","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3638","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=1946, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1951","layer":4},{"info":"compute unary expreesion, input=1951, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3713","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=1452, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5403","layer":4},{"info":"number node, value=5649","layer":4},{"info":"compute binary expreesion, left_input=5403, right_input=5649, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-524","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-524, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2634","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=1082, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=1777","layer":4},{"info":"compute unary expreesion, input=1777, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5331","layer":3},{"info":"compute unary expreesion, input=-5331, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5331","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5331, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2132∑⇟⊟⫖↰⪸1162/(⨈⫕⫖↰⪸1167))⋓(⫖↰⪸2195∀⇚≩⫖↰⪸A10⋷⫖↰⪸3163⩷∴⫖↰⪸3329)⩷∴((⪝⪂⫅(⫖↰⪸1636+⇶⊼⫖↰⪸762))⋷((⨵≀≌⫖↰⪸1041)⋫))=NaN","reverse_text":"NaN=(⫖↰⪸2132∑⇟⊟⫖↰⪸1162/(⨈⫕⫖↰⪸1167))⋓(⫖↰⪸2195∀⇚≩⫖↰⪸A10⋷⫖↰⪸3163⩷∴⫖↰⪸3329)⩷∴((⪝⪂⫅(⫖↰⪸1636+⇶⊼⫖↰⪸762))⋷((⨵≀≌⫖↰⪸1041)⋫))","cot":[{"info":"⫖↰⪸2132∑⇟⊟⫖↰⪸1162=NaN","layer":3},{"info":"⨈⫕⫖↰⪸1167=⫖↰⪸-19","layer":3},{"info":"NaN/⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸2195∀⇚≩⫖↰⪸A10=NaN","layer":3},{"info":"⫖↰⪸3163⩷∴⫖↰⪸3329=⫖↰⪸-378","layer":3},{"info":"NaN⋷⫖↰⪸-378=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫖↰⪸1636+⇶⊼⫖↰⪸762=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⨵≀≌⫖↰⪸1041=⫖↰⪸-3103","layer":3},{"info":"⫖↰⪸-3103⋫=⫖↰⪸3103","layer":2},{"info":"NaN⋷⫖↰⪸3103=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"((($2422$⊉≛↸$3049$)⨎$2603$∼$1625$)⫩⊇)⊭↱((∥⊫$5350$)⪢($1892$⋥≓≎$1934$)⪒((⨵≀≌$1404$)≋⫹))","expression":"(((⫖↰⪸149A⊉≛↸⫖↰⪸1921)⨎⫖↰⪸160B∼⫖↰⪸B35)⫩⊇)⊭↱((∥⊫⫖↰⪸311A)⪢(⫖↰⪸1118⋥≓≎⫖↰⪸1152)⪒((⨵≀≌⫖↰⪸990)≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5998,"operation_count":11,"complexity_ratio":545.2727272727273,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2422,"base":12},"right_expr":{"type":"numeric_atoms","value":3049,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2603,"base":12},"right_expr":{"type":"numeric_atoms","value":1625,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5350,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1892,"base":12},"right_expr":{"type":"numeric_atoms","value":1934,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1404,"base":12}}}}},"used_operators":["COABgblf1C","BjRHVeLaeN","rJVOvQCfKK","DZ8iAZOCBD","DyGG3AbaNP","f6k1SAg4EE","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","N41Kp7NANJ","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2422","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=3049, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4844","layer":3},{"info":"number node, value=2603","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=1625, 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=4844, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=5350","layer":4},{"info":"compute unary expreesion, input=5350, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6218","layer":3},{"info":"number node, value=1892","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=1934, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2009","layer":3},{"info":"compute binary expreesion, left_input=6218, right_input=2009, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4212","layer":3},{"info":"compute unary expreesion, input=-4212, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=8424","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8424, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸149A⊉≛↸⫖↰⪸1921)⨎⫖↰⪸160B∼⫖↰⪸B35)⫩⊇)⊭↱((∥⊫⫖↰⪸311A)⪢(⫖↰⪸1118⋥≓≎⫖↰⪸1152)⪒((⨵≀≌⫖↰⪸990)≋⫹))=NaN","reverse_text":"NaN=(((⫖↰⪸149A⊉≛↸⫖↰⪸1921)⨎⫖↰⪸160B∼⫖↰⪸B35)⫩⊇)⊭↱((∥⊫⫖↰⪸311A)⪢(⫖↰⪸1118⋥≓≎⫖↰⪸1152)⪒((⨵≀≌⫖↰⪸990)≋⫹))","cot":[{"info":"⫖↰⪸149A⊉≛↸⫖↰⪸1921=⫖↰⪸2978","layer":3},{"info":"⫖↰⪸160B∼⫖↰⪸B35=NaN","layer":3},{"info":"⫖↰⪸2978⨎NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"∥⊫⫖↰⪸311A=⫖↰⪸3722","layer":3},{"info":"⫖↰⪸1118⋥≓≎⫖↰⪸1152=⫖↰⪸11B5","layer":3},{"info":"⫖↰⪸3722⪢⫖↰⪸11B5=NaN","layer":2},{"info":"⨵≀≌⫖↰⪸990=⫖↰⪸-2530","layer":3},{"info":"⫖↰⪸-2530≋⫹=⫖↰⪸4A60","layer":2},{"info":"NaN⪒⫖↰⪸4A60=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"(($5410$≣⋋)⋥≓≎($2112$⫸⊐$5788$)↛⩡⫤)≣⋋","expression":"((⫖↰⪸316A≣⋋)⋥≓≎(⫖↰⪸1280⫸⊐⫖↰⪸3424)↛⩡⫤)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":139451,"operation_count":5,"complexity_ratio":27890.2,"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":5410,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2112,"base":12},"right_expr":{"type":"numeric_atoms","value":5788,"base":12}}}}},"used_operators":["Tcnh7f0tEr","FU0Cs4j7VP","Qy55tPpLXF","mqXw5SEYmG"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5410","layer":4},{"info":"compute unary expreesion, input=5410, 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=2112","layer":4},{"info":"number node, value=5788","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=5788, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23027","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=23027, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=46087","layer":2},{"info":"compute unary expreesion, input=46087, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-6955226","layer":1},{"info":"compute unary expreesion, input=-6955226, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸316A≣⋋)⋥≓≎(⫖↰⪸1280⫸⊐⫖↰⪸3424)↛⩡⫤)≣⋋=NaN","reverse_text":"NaN=((⫖↰⪸316A≣⋋)⋥≓≎(⫖↰⪸1280⫸⊐⫖↰⪸3424)↛⩡⫤)≣⋋","cot":[{"info":"⫖↰⪸316A≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1280⫸⊐⫖↰⪸3424=⫖↰⪸113AB","layer":3},{"info":"⫖↰⪸0⋥≓≎⫖↰⪸113AB=⫖↰⪸22807","layer":2},{"info":"⫖↰⪸22807↛⩡⫤=⫖↰⪸-23B5022","layer":1},{"info":"⫖↰⪸-23B5022≣⋋=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"⪲⇎($2103$⋓$1377$⨁⊸⫻)⫥∨⫟$2942$⇷$4749$∑⇟⊟($1764$⩷∴$6644$)","expression":"⪲⇎(⫖↰⪸1273⋓⫖↰⪸969⨁⊸⫻)⫥∨⫟⫖↰⪸1852⇷⫖↰⪸28B9∑⇟⊟(⫖↰⪸1030⩷∴⫖↰⪸3A18)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41373,"operation_count":7,"complexity_ratio":5910.428571428572,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2103,"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":2942,"base":12},"right_expr":{"type":"numeric_atoms","value":4749,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1764,"base":12},"right_expr":{"type":"numeric_atoms","value":6644,"base":12}}}}},"used_operators":["XPYlsWDdGa","KYD54nUTWz","glklzrTFfD","T2fj7uvVaJ","U7g4x0WXJJ","mp7IySMOzn","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=1377, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"number node, value=2942","layer":4},{"info":"number node, value=4749","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=4749, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9498","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=6644","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=6644, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9792","layer":3},{"info":"compute binary expreesion, left_input=9498, right_input=-9792, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪲⇎(⫖↰⪸1273⋓⫖↰⪸969⨁⊸⫻)⫥∨⫟⫖↰⪸1852⇷⫖↰⪸28B9∑⇟⊟(⫖↰⪸1030⩷∴⫖↰⪸3A18)=NaN","reverse_text":"NaN=⪲⇎(⫖↰⪸1273⋓⫖↰⪸969⨁⊸⫻)⫥∨⫟⫖↰⪸1852⇷⫖↰⪸28B9∑⇟⊟(⫖↰⪸1030⩷∴⫖↰⪸3A18)","cot":[{"info":"⫖↰⪸1273⋓⫖↰⪸969=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨁⊸⫻=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1852⇷⫖↰⪸28B9=⫖↰⪸55B6","layer":3},{"info":"⫖↰⪸1030⩷∴⫖↰⪸3A18=⫖↰⪸-5800","layer":3},{"info":"⫖↰⪸55B6∑⇟⊟⫖↰⪸-5800=NaN","layer":2},{"info":"⫖↰⪸0⫥∨⫟NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"(⫓⪴($1932$⋳⪒$1629$))∼(($4519$⪒$2453$)∲⫓$3906$⊴$2555$)+⇶⊼((($1178$⫌⩹⨱)⨸⪁($1590$≫≃))≭((⨰⫟⨤$2944$)⫸⊐($1160$⊭↱$6885$)))","expression":"(⫓⪴(⫖↰⪸1150⋳⪒⫖↰⪸B39))∼((⫖↰⪸2747⪒⫖↰⪸1505)∲⫓⫖↰⪸2316⊴⫖↰⪸158B)+⇶⊼(((⫖↰⪸822⫌⩹⨱)⨸⪁(⫖↰⪸B06≫≃))≭((⨰⫟⨤⫖↰⪸1854)⫸⊐(⫖↰⪸808⊭↱⫖↰⪸3B99)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":90045,"operation_count":14,"complexity_ratio":6431.785714285715,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1932,"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":4519,"base":12},"right_expr":{"type":"numeric_atoms","value":2453,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3906,"base":12},"right_expr":{"type":"numeric_atoms","value":2555,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1178,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1590,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2944,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1160,"base":12},"right_expr":{"type":"numeric_atoms","value":6885,"base":12}}}}},"used_operators":["TpPTUOHfaN","DyGG3AbaNP","eLxqMNBOBk","12rbrZMWeM","i8ToyICDmI","f6k1SAg4EE","Nsiff2A1zJ","rxpJgHHUmx","g55IO6H4Gj","EBcxylXtPf","X99M06cbEe","mqXw5SEYmG","Tw270M8GLb","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1629, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1948","layer":3},{"info":"compute unary expreesion, input=1948, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3794704","layer":2},{"info":"number node, value=4519","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=2453, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6972","layer":3},{"info":"number node, value=3906","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=2555, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6972, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3794704, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3757","layer":3},{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4581","layer":3},{"info":"compute binary expreesion, left_input=3757, right_input=4581, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16676","layer":2},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=6885","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=6885, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11455","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11455, 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=16676, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⫓⪴(⫖↰⪸1150⋳⪒⫖↰⪸B39))∼((⫖↰⪸2747⪒⫖↰⪸1505)∲⫓⫖↰⪸2316⊴⫖↰⪸158B)+⇶⊼(((⫖↰⪸822⫌⩹⨱)⨸⪁(⫖↰⪸B06≫≃))≭((⨰⫟⨤⫖↰⪸1854)⫸⊐(⫖↰⪸808⊭↱⫖↰⪸3B99)))=NaN","reverse_text":"NaN=(⫓⪴(⫖↰⪸1150⋳⪒⫖↰⪸B39))∼((⫖↰⪸2747⪒⫖↰⪸1505)∲⫓⫖↰⪸2316⊴⫖↰⪸158B)+⇶⊼(((⫖↰⪸822⫌⩹⨱)⨸⪁(⫖↰⪸B06≫≃))≭((⨰⫟⨤⫖↰⪸1854)⫸⊐(⫖↰⪸808⊭↱⫖↰⪸3B99)))","cot":[{"info":"⫖↰⪸1150⋳⪒⫖↰⪸B39=⫖↰⪸1164","layer":3},{"info":"⫓⪴⫖↰⪸1164=⫖↰⪸1330014","layer":2},{"info":"⫖↰⪸2747⪒⫖↰⪸1505=⫖↰⪸-4050","layer":3},{"info":"⫖↰⪸2316⊴⫖↰⪸158B=NaN","layer":3},{"info":"⫖↰⪸-4050∲⫓NaN=NaN","layer":2},{"info":"⫖↰⪸1330014∼NaN=NaN","layer":1},{"info":"⫖↰⪸822⫌⩹⨱=⫖↰⪸2211","layer":3},{"info":"⫖↰⪸B06≫≃=⫖↰⪸2799","layer":3},{"info":"⫖↰⪸2211⨸⪁⫖↰⪸2799=⫖↰⪸9798","layer":2},{"info":"⨰⫟⨤⫖↰⪸1854=NaN","layer":3},{"info":"⫖↰⪸808⊭↱⫖↰⪸3B99=⫖↰⪸6767","layer":3},{"info":"NaN⫸⊐⫖↰⪸6767=NaN","layer":2},{"info":"⫖↰⪸9798≭NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"⊥(∥⊫(⫛⫱⨽(↥$7181$)))","expression":"⊥(∥⊫(⫛⫱⨽(↥⫖↰⪸41A5)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":759728,"operation_count":4,"complexity_ratio":189932.0,"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":7181,"base":12}}}}},"used_operators":["Q3PJZHRvZv","P8v4zCKN1o","DlLNRPXxWL","A8NUZmVepG"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY"],"result":"⫖↰⪸-607","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7181","layer":4},{"info":"compute unary expreesion, input=7181, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":3},{"info":"compute unary expreesion, input=41, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-871","layer":0}],"base":12,"result_base":12,"text":"⊥(∥⊫(⫛⫱⨽(↥⫖↰⪸41A5)))=⫖↰⪸-607","reverse_text":"⫖↰⪸-607=⊥(∥⊫(⫛⫱⨽(↥⫖↰⪸41A5)))","cot":[{"info":"↥⫖↰⪸41A5=⫖↰⪸35","layer":3},{"info":"⫛⫱⨽⫖↰⪸35=⫖↰⪸0","layer":2},{"info":"∥⊫⫖↰⪸0=⫖↰⪸604","layer":1},{"info":"⊥⫖↰⪸604=⫖↰⪸-607","layer":0}]}
{"id":932,"expression_no_base_symbol":"((($4326$⪠⩆⊳)≫≃)⪒(∂($1051$-$5721$)))⨪↰⇹(($1856$+$4509$)+⇶⊼(⨈⫕$1813$)⨳⩥⨓(($4110$⨸⪁$3465$)⨳⩥⨓($5002$⇼⇔∾$2183$)))","expression":"(((⫖↰⪸2606⪠⩆⊳)≫≃)⪒(∂(⫖↰⪸737-⫖↰⪸3389)))⨪↰⇹((⫖↰⪸10A8+⫖↰⪸2739)+⇶⊼(⨈⫕⫖↰⪸1071)⨳⩥⨓((⫖↰⪸2466⨸⪁⫖↰⪸2009)⨳⩥⨓(⫖↰⪸2A8A⇼⇔∾⫖↰⪸131B)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7736,"operation_count":13,"complexity_ratio":595.0769230769231,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4326,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":5721,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1856,"base":12},"right_expr":{"type":"numeric_atoms","value":4509,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1813,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4110,"base":12},"right_expr":{"type":"numeric_atoms","value":3465,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5002,"base":12},"right_expr":{"type":"numeric_atoms","value":2183,"base":12}}}}},"used_operators":["tmPS8pqC7x","f6k1SAg4EE","X99M06cbEe","JLbD19bQDL","Uaa54Peajs","rysDP5nf3Z","nCS4ZIUYfx","TpPTUOHfaN","W4YGzv6Whe","megm06wKyl","g55IO6H4Gj","tifHPKVTfV"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸343B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4326","layer":4},{"info":"compute unary expreesion, input=4326, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=5721","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=5721, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4670","layer":3},{"info":"compute unary expreesion, input=-4670, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4406","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=4406, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5807","layer":1},{"info":"number node, value=1856","layer":4},{"info":"number node, value=4509","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=4509, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6365","layer":3},{"info":"number node, value=1813","layer":4},{"info":"compute unary expreesion, input=1813, 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=6365, right_input=-21, 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=4110","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=4110, right_input=3465, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15150","layer":3},{"info":"number node, value=5002","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=2183, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2819","layer":3},{"info":"compute binary expreesion, left_input=15150, right_input=-2819, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-17969","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17969, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5807, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5807","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2606⪠⩆⊳)≫≃)⪒(∂(⫖↰⪸737-⫖↰⪸3389)))⨪↰⇹((⫖↰⪸10A8+⫖↰⪸2739)+⇶⊼(⨈⫕⫖↰⪸1071)⨳⩥⨓((⫖↰⪸2466⨸⪁⫖↰⪸2009)⨳⩥⨓(⫖↰⪸2A8A⇼⇔∾⫖↰⪸131B)))=⫖↰⪸343B","reverse_text":"⫖↰⪸343B=(((⫖↰⪸2606⪠⩆⊳)≫≃)⪒(∂(⫖↰⪸737-⫖↰⪸3389)))⨪↰⇹((⫖↰⪸10A8+⫖↰⪸2739)+⇶⊼(⨈⫕⫖↰⪸1071)⨳⩥⨓((⫖↰⪸2466⨸⪁⫖↰⪸2009)⨳⩥⨓(⫖↰⪸2A8A⇼⇔∾⫖↰⪸131B)))","cot":[{"info":"⫖↰⪸2606⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≫≃=⫖↰⪸989","layer":2},{"info":"⫖↰⪸737-⫖↰⪸3389=⫖↰⪸-2852","layer":3},{"info":"∂⫖↰⪸-2852=⫖↰⪸2672","layer":2},{"info":"⫖↰⪸989⪒⫖↰⪸2672=⫖↰⪸-343B","layer":1},{"info":"⫖↰⪸10A8+⫖↰⪸2739=⫖↰⪸3825","layer":3},{"info":"⨈⫕⫖↰⪸1071=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸3825+⇶⊼⫖↰⪸-19=NaN","layer":2},{"info":"⫖↰⪸2466⨸⪁⫖↰⪸2009=⫖↰⪸8926","layer":3},{"info":"⫖↰⪸2A8A⇼⇔∾⫖↰⪸131B=⫖↰⪸-176B","layer":3},{"info":"⫖↰⪸8926⨳⩥⨓⫖↰⪸-176B=⫖↰⪸-A495","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸-A495=NaN","layer":1},{"info":"⫖↰⪸-343B⨪↰⇹NaN=⫖↰⪸343B","layer":0}]}
{"id":933,"expression_no_base_symbol":"($2725$⨪↰⇹$2324$⨓$1705$⪮%⊝$3151$%(≤/$2349$)≭$4142$⇷$5815$)⋳⪒(($2164$↙$1758$⋷($1144$+$4995$))⋳⪒(↯⪼($1783$⊘)))","expression":"(⫖↰⪸16B1⨪↰⇹⫖↰⪸1418⨓⫖↰⪸BA1⪮%⊝⫖↰⪸19A7%(≤/⫖↰⪸1439)≭⫖↰⪸2492⇷⫖↰⪸3447)⋳⪒((⫖↰⪸1304↙⫖↰⪸1026⋷(⫖↰⪸7B4+⫖↰⪸2A83))⋳⪒(↯⪼(⫖↰⪸1047⊘)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66291,"operation_count":14,"complexity_ratio":4735.071428571428,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2725,"base":12},"right_expr":{"type":"numeric_atoms","value":2324,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1705,"base":12},"right_expr":{"type":"numeric_atoms","value":3151,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2349,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4142,"base":12},"right_expr":{"type":"numeric_atoms","value":5815,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2164,"base":12},"right_expr":{"type":"numeric_atoms","value":1758,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":4995,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1783,"base":12}}}}},"used_operators":["12rbrZMWeM","k8jYdgA6NY","3ViojmjbAp","tmPS8pqC7x","IWmyXbctLI","rxpJgHHUmx","eLAdDNolq6","mp7IySMOzn","23Mk6UjR3U","yyfyN0ffXY","W4YGzv6Whe","8jW3W4yZS5","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2725","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=2324, 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=2725","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=3151, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3726","layer":3},{"info":"compute binary expreesion, left_input=2725, right_input=3726, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3729","layer":2},{"info":"number node, value=2349","layer":4},{"info":"compute unary expreesion, input=2349, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1865","layer":3},{"info":"number node, value=4142","layer":4},{"info":"number node, value=5815","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=5815, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11630","layer":3},{"info":"compute binary expreesion, left_input=-1865, right_input=11630, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3729, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2164","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=1758, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5274","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=4995, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6139","layer":3},{"info":"compute binary expreesion, left_input=-5274, right_input=6139, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10548","layer":2},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=10548, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=20830","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20830, 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":"(⫖↰⪸16B1⨪↰⇹⫖↰⪸1418⨓⫖↰⪸BA1⪮%⊝⫖↰⪸19A7%(≤/⫖↰⪸1439)≭⫖↰⪸2492⇷⫖↰⪸3447)⋳⪒((⫖↰⪸1304↙⫖↰⪸1026⋷(⫖↰⪸7B4+⫖↰⪸2A83))⋳⪒(↯⪼(⫖↰⪸1047⊘)))=NaN","reverse_text":"NaN=(⫖↰⪸16B1⨪↰⇹⫖↰⪸1418⨓⫖↰⪸BA1⪮%⊝⫖↰⪸19A7%(≤/⫖↰⪸1439)≭⫖↰⪸2492⇷⫖↰⪸3447)⋳⪒((⫖↰⪸1304↙⫖↰⪸1026⋷(⫖↰⪸7B4+⫖↰⪸2A83))⋳⪒(↯⪼(⫖↰⪸1047⊘)))","cot":[{"info":"⫖↰⪸16B1⨪↰⇹⫖↰⪸1418=⫖↰⪸16B1","layer":3},{"info":"⫖↰⪸BA1⪮%⊝⫖↰⪸19A7=⫖↰⪸21A6","layer":3},{"info":"⫖↰⪸16B1⨓⫖↰⪸21A6=⫖↰⪸-21A9","layer":2},{"info":"≤/⫖↰⪸1439=⫖↰⪸-10B5","layer":3},{"info":"⫖↰⪸2492⇷⫖↰⪸3447=⫖↰⪸6892","layer":3},{"info":"⫖↰⪸-10B5≭⫖↰⪸6892=NaN","layer":2},{"info":"⫖↰⪸-21A9%NaN=NaN","layer":1},{"info":"⫖↰⪸1304↙⫖↰⪸1026=⫖↰⪸-3076","layer":3},{"info":"⫖↰⪸7B4+⫖↰⪸2A83=⫖↰⪸3677","layer":3},{"info":"⫖↰⪸-3076⋷⫖↰⪸3677=⫖↰⪸6130","layer":2},{"info":"⫖↰⪸1047⊘=⫖↰⪸0","layer":3},{"info":"↯⪼⫖↰⪸0=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸6130⋳⪒⫖↰⪸-19=⫖↰⪸1007A","layer":1},{"info":"NaN⋳⪒⫖↰⪸1007A=NaN","layer":0}]}
{"id":934,"expression_no_base_symbol":"($1555$+$4357$⫡⨏($1411$↪⪝)↪⪝)+⇶⊼(($3922$⫡⨏$2521$)⨟⋌⩍($1136$+$6253$))⪢(($2426$⪨≂$3970$)%($2129$/$2379$))","expression":"(⫖↰⪸A97+⫖↰⪸2631⫡⨏(⫖↰⪸997↪⪝)↪⪝)+⇶⊼((⫖↰⪸232A⫡⨏⫖↰⪸1561)⨟⋌⩍(⫖↰⪸7A8+⫖↰⪸3751))⪢((⫖↰⪸14A2⪨≂⫖↰⪸236A)%(⫖↰⪸1295/⫖↰⪸1463))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1324,"operation_count":12,"complexity_ratio":110.33333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1555,"base":12},"right_expr":{"type":"numeric_atoms","value":4357,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1411,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3922,"base":12},"right_expr":{"type":"numeric_atoms","value":2521,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1136,"base":12},"right_expr":{"type":"numeric_atoms","value":6253,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2426,"base":12},"right_expr":{"type":"numeric_atoms","value":3970,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2129,"base":12},"right_expr":{"type":"numeric_atoms","value":2379,"base":12}}}}},"used_operators":["TpPTUOHfaN","l07mrZUIn9","QMFrweE19q","W4YGzv6Whe","dWAJyo7jo9","rGHVDoGpnC","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":4},{"info":"number node, value=4357","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=4357, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5912","layer":3},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=86327802","layer":3},{"info":"compute binary expreesion, left_input=5912, right_input=86327802, 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=172685947","layer":2},{"info":"compute unary expreesion, input=172685947, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"number node, value=3922","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=2521, 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=25435","layer":3},{"info":"number node, value=1136","layer":4},{"info":"number node, value=6253","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=6253, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7389","layer":3},{"info":"compute binary expreesion, left_input=25435, right_input=7389, 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=2426","layer":4},{"info":"number node, value=3970","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=3970, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2986","layer":3},{"info":"number node, value=2129","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=2379, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2986, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=inf, 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":"(⫖↰⪸A97+⫖↰⪸2631⫡⨏(⫖↰⪸997↪⪝)↪⪝)+⇶⊼((⫖↰⪸232A⫡⨏⫖↰⪸1561)⨟⋌⩍(⫖↰⪸7A8+⫖↰⪸3751))⪢((⫖↰⪸14A2⪨≂⫖↰⪸236A)%(⫖↰⪸1295/⫖↰⪸1463))=NaN","reverse_text":"NaN=(⫖↰⪸A97+⫖↰⪸2631⫡⨏(⫖↰⪸997↪⪝)↪⪝)+⇶⊼((⫖↰⪸232A⫡⨏⫖↰⪸1561)⨟⋌⩍(⫖↰⪸7A8+⫖↰⪸3751))⪢((⫖↰⪸14A2⪨≂⫖↰⪸236A)%(⫖↰⪸1295/⫖↰⪸1463))","cot":[{"info":"⫖↰⪸A97+⫖↰⪸2631=⫖↰⪸3508","layer":3},{"info":"⫖↰⪸997↪⪝=⫖↰⪸24AB2276","layer":3},{"info":"⫖↰⪸3508⫡⨏⫖↰⪸24AB2276=⫖↰⪸499B9BB7","layer":2},{"info":"⫖↰⪸499B9BB7↪⪝=Inf","layer":1},{"info":"⫖↰⪸232A⫡⨏⫖↰⪸1561=⫖↰⪸12877","layer":3},{"info":"⫖↰⪸7A8+⫖↰⪸3751=⫖↰⪸4339","layer":3},{"info":"⫖↰⪸12877⨟⋌⩍⫖↰⪸4339=NaN","layer":2},{"info":"⫖↰⪸14A2⪨≂⫖↰⪸236A=⫖↰⪸-188A","layer":3},{"info":"⫖↰⪸1295/⫖↰⪸1463=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-188A%⫖↰⪸0=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"Inf+⇶⊼NaN=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"((⪝⪂⫅$4292$)≹⇙⪍($2583$∼$2518$)≫≃)↪⪝","expression":"((⪝⪂⫅⫖↰⪸2598)≹⇙⪍(⫖↰⪸15B3∼⫖↰⪸155A)≫≃)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":215,"operation_count":5,"complexity_ratio":43.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4292,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2583,"base":12},"right_expr":{"type":"numeric_atoms","value":2518,"base":12}}}}},"used_operators":["l07mrZUIn9","X99M06cbEe","AHs5Up7iyr","XTarYq4gQB","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4292","layer":4},{"info":"compute unary expreesion, input=4292, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-630924","layer":3},{"info":"number node, value=2583","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=2518, 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=-630924, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪝⪂⫅⫖↰⪸2598)≹⇙⪍(⫖↰⪸15B3∼⫖↰⪸155A)≫≃)↪⪝=NaN","reverse_text":"NaN=((⪝⪂⫅⫖↰⪸2598)≹⇙⪍(⫖↰⪸15B3∼⫖↰⪸155A)≫≃)↪⪝","cot":[{"info":"⪝⪂⫅⫖↰⪸2598=⫖↰⪸-265150","layer":3},{"info":"⫖↰⪸15B3∼⫖↰⪸155A=NaN","layer":3},{"info":"⫖↰⪸-265150≹⇙⪍NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":936,"expression_no_base_symbol":"($3970$⨵⪆$1983$)⋝⋈⪟($1577$/$5195$)⩚⊴⇥((⨞⊢$2614$)⩠)⋫","expression":"(⫖↰⪸236A⨵⪆⫖↰⪸1193)⋝⋈⪟(⫖↰⪸AB5/⫖↰⪸300B)⩚⊴⇥((⨞⊢⫖↰⪸161A)⩠)⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11669,"operation_count":7,"complexity_ratio":1667.0,"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":3970,"base":12},"right_expr":{"type":"numeric_atoms","value":1983,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1577,"base":12},"right_expr":{"type":"numeric_atoms","value":5195,"base":12}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2614,"base":12}}}}},"used_operators":["JL8yIekQnl","NTOWxs364D","2DDjHMKMc0","2DQ55sFlQl","XhwjNDsVaA","sJAwomhLZr","xUOZtlo3hN"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-68A2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=1983, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1577","layer":4},{"info":"number node, value=5195","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=5195, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"number node, value=2614","layer":4},{"info":"compute unary expreesion, input=2614, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2788","layer":3},{"info":"compute unary expreesion, input=-2788, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=11361","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=11361, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11642","layer":1},{"info":"compute unary expreesion, input=-11642, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-11642","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸236A⨵⪆⫖↰⪸1193)⋝⋈⪟(⫖↰⪸AB5/⫖↰⪸300B)⩚⊴⇥((⨞⊢⫖↰⪸161A)⩠)⋫=⫖↰⪸-68A2","reverse_text":"⫖↰⪸-68A2=(⫖↰⪸236A⨵⪆⫖↰⪸1193)⋝⋈⪟(⫖↰⪸AB5/⫖↰⪸300B)⩚⊴⇥((⨞⊢⫖↰⪸161A)⩠)⋫","cot":[{"info":"⫖↰⪸236A⨵⪆⫖↰⪸1193=⫖↰⪸114","layer":3},{"info":"⫖↰⪸AB5/⫖↰⪸300B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⋝⋈⪟⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⨞⊢⫖↰⪸161A=⫖↰⪸-1744","layer":3},{"info":"⫖↰⪸-1744⩠=⫖↰⪸66A9","layer":2},{"info":"⫖↰⪸114⩚⊴⇥⫖↰⪸66A9=⫖↰⪸-68A2","layer":1},{"info":"⫖↰⪸-68A2⋫=⫖↰⪸-68A2","layer":0}]}
{"id":937,"expression_no_base_symbol":"⨑⩽⪐((($2568$⫸⊐$2157$)⨎$4014$⪮%⊝$1757$)⋫)","expression":"⨑⩽⪐(((⫖↰⪸15A0⫸⊐⫖↰⪸12B9)⨎⫖↰⪸23A6⪮%⊝⫖↰⪸1025)⋫)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8382,"operation_count":5,"complexity_ratio":1676.4,"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":2568,"base":12},"right_expr":{"type":"numeric_atoms","value":2157,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4014,"base":12},"right_expr":{"type":"numeric_atoms","value":1757,"base":12}}}}},"used_operators":["AF7qkfDlqP","JL8yIekQnl","rJVOvQCfKK","mqXw5SEYmG","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-4807","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2568","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=2157, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8503","layer":3},{"info":"number node, value=4014","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=1757, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8344","layer":3},{"info":"compute binary expreesion, left_input=8503, right_input=8344, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8344","layer":2},{"info":"compute unary expreesion, input=8344, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=8344","layer":1},{"info":"compute unary expreesion, input=8344, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8071","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(((⫖↰⪸15A0⫸⊐⫖↰⪸12B9)⨎⫖↰⪸23A6⪮%⊝⫖↰⪸1025)⋫)=⫖↰⪸-4807","reverse_text":"⫖↰⪸-4807=⨑⩽⪐(((⫖↰⪸15A0⫸⊐⫖↰⪸12B9)⨎⫖↰⪸23A6⪮%⊝⫖↰⪸1025)⋫)","cot":[{"info":"⫖↰⪸15A0⫸⊐⫖↰⪸12B9=⫖↰⪸4B07","layer":3},{"info":"⫖↰⪸23A6⪮%⊝⫖↰⪸1025=⫖↰⪸49B4","layer":3},{"info":"⫖↰⪸4B07⨎⫖↰⪸49B4=⫖↰⪸49B4","layer":2},{"info":"⫖↰⪸49B4⋫=⫖↰⪸49B4","layer":1},{"info":"⨑⩽⪐⫖↰⪸49B4=⫖↰⪸-4807","layer":0}]}
{"id":938,"expression_no_base_symbol":"(⪝⪂⫅$1885$)∑⇟⊟($5032$+$1536$)*(⪝⪂⫅($2158$⨓$1426$))+(($2263$⫌⩹⨱)↙($2202$↛⩡⫤))≎⊠⪸(($4993$↪⪝)⪄$1336$⨽$1989$)","expression":"(⪝⪂⫅⫖↰⪸1111)∑⇟⊟(⫖↰⪸2AB4+⫖↰⪸A80)*(⪝⪂⫅(⫖↰⪸12BA⨓⫖↰⪸9AA))+((⫖↰⪸1387⫌⩹⨱)↙(⫖↰⪸1336↛⩡⫤))≎⊠⪸((⫖↰⪸2A81↪⪝)⪄⫖↰⪸934⨽⫖↰⪸1199)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":339227,"operation_count":14,"complexity_ratio":24230.5,"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":1885,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5032,"base":12},"right_expr":{"type":"numeric_atoms","value":1536,"base":12}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2158,"base":12},"right_expr":{"type":"numeric_atoms","value":1426,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2263,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2202,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4993,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1336,"base":12},"right_expr":{"type":"numeric_atoms","value":1989,"base":12}}}}},"used_operators":["W4YGzv6Whe","9HNa5Wba9A","U7g4x0WXJJ","XTarYq4gQB","3ViojmjbAp","bJkvcejdHO","yyfyN0ffXY","EBcxylXtPf","FU0Cs4j7VP","SUmda5xLS4","l07mrZUIn9","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-277095","layer":3},{"info":"number node, value=5032","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=5032, right_input=1536, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6568","layer":3},{"info":"compute binary expreesion, left_input=-277095, right_input=6568, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2158","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=1426, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1429","layer":3},{"info":"compute unary expreesion, input=-1429, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=210063","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=210063, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5927","layer":3},{"info":"number node, value=2202","layer":4},{"info":"compute unary expreesion, input=2202, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-328591","layer":3},{"info":"compute binary expreesion, left_input=5927, right_input=-328591, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-985773","layer":2},{"info":"number node, value=4993","layer":4},{"info":"compute unary expreesion, input=4993, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=305481726","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=1989","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1989, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5359341","layer":3},{"info":"compute binary expreesion, left_input=305481726, right_input=-5359341, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-985773, right_input=-inf, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅⫖↰⪸1111)∑⇟⊟(⫖↰⪸2AB4+⫖↰⪸A80)*(⪝⪂⫅(⫖↰⪸12BA⨓⫖↰⪸9AA))+((⫖↰⪸1387⫌⩹⨱)↙(⫖↰⪸1336↛⩡⫤))≎⊠⪸((⫖↰⪸2A81↪⪝)⪄⫖↰⪸934⨽⫖↰⪸1199)=NaN","reverse_text":"NaN=(⪝⪂⫅⫖↰⪸1111)∑⇟⊟(⫖↰⪸2AB4+⫖↰⪸A80)*(⪝⪂⫅(⫖↰⪸12BA⨓⫖↰⪸9AA))+((⫖↰⪸1387⫌⩹⨱)↙(⫖↰⪸1336↛⩡⫤))≎⊠⪸((⫖↰⪸2A81↪⪝)⪄⫖↰⪸934⨽⫖↰⪸1199)","cot":[{"info":"⪝⪂⫅⫖↰⪸1111=⫖↰⪸-114433","layer":3},{"info":"⫖↰⪸2AB4+⫖↰⪸A80=⫖↰⪸3974","layer":3},{"info":"⫖↰⪸-114433∑⇟⊟⫖↰⪸3974=NaN","layer":2},{"info":"⫖↰⪸12BA⨓⫖↰⪸9AA=⫖↰⪸-9B1","layer":3},{"info":"⪝⪂⫅⫖↰⪸-9B1=⫖↰⪸A1693","layer":2},{"info":"NaN*⫖↰⪸A1693=NaN","layer":1},{"info":"⫖↰⪸1387⫌⩹⨱=⫖↰⪸351B","layer":3},{"info":"⫖↰⪸1336↛⩡⫤=⫖↰⪸-13A1A7","layer":3},{"info":"⫖↰⪸351B↙⫖↰⪸-13A1A7=⫖↰⪸-3B6579","layer":2},{"info":"⫖↰⪸2A81↪⪝=⫖↰⪸8637B4A6","layer":3},{"info":"⫖↰⪸934⨽⫖↰⪸1199=⫖↰⪸-1965579","layer":3},{"info":"⫖↰⪸8637B4A6⪄⫖↰⪸-1965579=-Inf","layer":2},{"info":"⫖↰⪸-3B6579≎⊠⪸-Inf=⫖↰⪸57","layer":1},{"info":"NaN+⫖↰⪸57=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(⫛⫱⨽(($1777$↙$3199$)⨁⊸⫻))⩷∴(⨰⫟⨤($1768$⪘⫢$1080$⫸⊐($7438$⊦⊿)))","expression":"(⫛⫱⨽((⫖↰⪸1041↙⫖↰⪸1A27)⨁⊸⫻))⩷∴(⨰⫟⨤(⫖↰⪸1034⪘⫢⫖↰⪸760⫸⊐(⫖↰⪸437A⊦⊿)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":185228,"operation_count":8,"complexity_ratio":23153.5,"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":1777,"base":12},"right_expr":{"type":"numeric_atoms","value":3199,"base":12}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1768,"base":12},"right_expr":{"type":"numeric_atoms","value":1080,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7438,"base":12}}}}},"used_operators":["9FxExcQeMw","DlLNRPXxWL","glklzrTFfD","yyfyN0ffXY","Tw270M8GLb","mqXw5SEYmG","oacrs7FA3X","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=3199, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9597","layer":3},{"info":"compute unary expreesion, input=-9597, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-19194","layer":2},{"info":"compute unary expreesion, input=-19194, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1768","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=1080, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3412","layer":3},{"info":"number node, value=7438","layer":4},{"info":"compute unary expreesion, input=7438, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-22393","layer":3},{"info":"compute binary expreesion, left_input=3412, right_input=-22393, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-44915","layer":2},{"info":"compute unary expreesion, input=-44915, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽((⫖↰⪸1041↙⫖↰⪸1A27)⨁⊸⫻))⩷∴(⨰⫟⨤(⫖↰⪸1034⪘⫢⫖↰⪸760⫸⊐(⫖↰⪸437A⊦⊿)))=NaN","reverse_text":"NaN=(⫛⫱⨽((⫖↰⪸1041↙⫖↰⪸1A27)⨁⊸⫻))⩷∴(⨰⫟⨤(⫖↰⪸1034⪘⫢⫖↰⪸760⫸⊐(⫖↰⪸437A⊦⊿)))","cot":[{"info":"⫖↰⪸1041↙⫖↰⪸1A27=⫖↰⪸-5679","layer":3},{"info":"⫖↰⪸-5679⨁⊸⫻=⫖↰⪸-B136","layer":2},{"info":"⫛⫱⨽⫖↰⪸-B136=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1034⪘⫢⫖↰⪸760=⫖↰⪸1B84","layer":3},{"info":"⫖↰⪸437A⊦⊿=⫖↰⪸-10B61","layer":3},{"info":"⫖↰⪸1B84⫸⊐⫖↰⪸-10B61=⫖↰⪸-21BAB","layer":2},{"info":"⨰⫟⨤⫖↰⪸-21BAB=NaN","layer":1},{"info":"⫖↰⪸0⩷∴NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"($3487$+⇶⊼$1182$⋥≓≎($3541$+$5362$)↪⪝)⨸⪁(($1126$⨎$1038$)⨰($1693$⪄$3751$)⨸⪁(↩$4823$)⨐⩸⫘($1078$-$7370$))","expression":"(⫖↰⪸2027+⇶⊼⫖↰⪸826⋥≓≎(⫖↰⪸2071+⫖↰⪸312A)↪⪝)⨸⪁((⫖↰⪸79A⨎⫖↰⪸726)⨰(⫖↰⪸B91⪄⫖↰⪸2207)⨸⪁(↩⫖↰⪸295B)⨐⩸⫘(⫖↰⪸75A-⫖↰⪸4322))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":303,"operation_count":12,"complexity_ratio":25.25,"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":3487,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3541,"base":12},"right_expr":{"type":"numeric_atoms","value":5362,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1126,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1693,"base":12},"right_expr":{"type":"numeric_atoms","value":3751,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4823,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1078,"base":12},"right_expr":{"type":"numeric_atoms","value":7370,"base":12}}}}},"used_operators":["g55IO6H4Gj","l07mrZUIn9","Qy55tPpLXF","TpPTUOHfaN","W4YGzv6Whe","eewbuw0ToL","rJVOvQCfKK","SUmda5xLS4","fu6greOZ01","jLgFTUHLKL","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","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=3487","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=1182, 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=3541","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=5362, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8903","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8903, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=4099194","layer":1},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1038, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1038","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=3751, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-261657","layer":3},{"info":"compute binary expreesion, left_input=1038, right_input=-261657, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=262705","layer":2},{"info":"number node, value=4823","layer":4},{"info":"compute unary expreesion, input=4823, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35804","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=7370","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=7370, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6292","layer":3},{"info":"compute binary expreesion, left_input=-35804, right_input=-6292, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=262705, 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=4099194, 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":"(⫖↰⪸2027+⇶⊼⫖↰⪸826⋥≓≎(⫖↰⪸2071+⫖↰⪸312A)↪⪝)⨸⪁((⫖↰⪸79A⨎⫖↰⪸726)⨰(⫖↰⪸B91⪄⫖↰⪸2207)⨸⪁(↩⫖↰⪸295B)⨐⩸⫘(⫖↰⪸75A-⫖↰⪸4322))=NaN","reverse_text":"NaN=(⫖↰⪸2027+⇶⊼⫖↰⪸826⋥≓≎(⫖↰⪸2071+⫖↰⪸312A)↪⪝)⨸⪁((⫖↰⪸79A⨎⫖↰⪸726)⨰(⫖↰⪸B91⪄⫖↰⪸2207)⨸⪁(↩⫖↰⪸295B)⨐⩸⫘(⫖↰⪸75A-⫖↰⪸4322))","cot":[{"info":"⫖↰⪸2027+⇶⊼⫖↰⪸826=NaN","layer":3},{"info":"⫖↰⪸2071+⫖↰⪸312A=⫖↰⪸519B","layer":3},{"info":"NaN⋥≓≎⫖↰⪸519B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57↪⪝=⫖↰⪸1458276","layer":1},{"info":"⫖↰⪸79A⨎⫖↰⪸726=⫖↰⪸726","layer":3},{"info":"⫖↰⪸B91⪄⫖↰⪸2207=⫖↰⪸-107509","layer":3},{"info":"⫖↰⪸726⨰⫖↰⪸-107509=⫖↰⪸108041","layer":2},{"info":"↩⫖↰⪸295B=⫖↰⪸-18878","layer":3},{"info":"⫖↰⪸75A-⫖↰⪸4322=⫖↰⪸-3784","layer":3},{"info":"⫖↰⪸-18878⨐⩸⫘⫖↰⪸-3784=NaN","layer":2},{"info":"⫖↰⪸108041⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸1458276⨸⪁NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"((-$2374$)/$1508$∑⇟⊟$3434$)⫥∨⫟(↯⪼(⪲⇎$2336$))⫸⊐($2764$⋳⪒$2457$⩨(∥⊫$4058$))↺(⇁⨣⪵$1224$)≧⫂∧(⫛⫱⨽$5827$)","expression":"((-⫖↰⪸145A)/⫖↰⪸A58∑⇟⊟⫖↰⪸1BA2)⫥∨⫟(↯⪼(⪲⇎⫖↰⪸1428))⫸⊐(⫖↰⪸1724⋳⪒⫖↰⪸1509⩨(∥⊫⫖↰⪸2422))↺(⇁⨣⪵⫖↰⪸860)≧⫂∧(⫛⫱⨽⫖↰⪸3457)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1635,"operation_count":14,"complexity_ratio":116.78571428571429,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2374,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1508,"base":12},"right_expr":{"type":"numeric_atoms","value":3434,"base":12}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2336,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2764,"base":12},"right_expr":{"type":"numeric_atoms","value":2457,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4058,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1224,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5827,"base":12}}}}},"used_operators":["mqXw5SEYmG","KYD54nUTWz","XhwjNDsVaA","t8gj7n24qd","U7g4x0WXJJ","8jW3W4yZS5","XPYlsWDdGa","7j4O788W3g","2DlMacCsIx","12rbrZMWeM","P8v4zCKN1o","Ph9nP6C5qx","inkyxCbjAn","DlLNRPXxWL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2374","layer":4},{"info":"compute unary expreesion, input=2374, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2374","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=3434, 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=-2374, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2336","layer":4},{"info":"compute unary expreesion, input=2336, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4672","layer":3},{"info":"compute unary expreesion, input=4672, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2764","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=2457, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2784","layer":3},{"info":"number node, value=4058","layer":4},{"info":"compute unary expreesion, input=4058, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4926","layer":3},{"info":"compute binary expreesion, left_input=2784, right_input=4926, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=5827","layer":4},{"info":"compute unary expreesion, input=5827, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-473, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, 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":"((-⫖↰⪸145A)/⫖↰⪸A58∑⇟⊟⫖↰⪸1BA2)⫥∨⫟(↯⪼(⪲⇎⫖↰⪸1428))⫸⊐(⫖↰⪸1724⋳⪒⫖↰⪸1509⩨(∥⊫⫖↰⪸2422))↺(⇁⨣⪵⫖↰⪸860)≧⫂∧(⫛⫱⨽⫖↰⪸3457)=NaN","reverse_text":"NaN=((-⫖↰⪸145A)/⫖↰⪸A58∑⇟⊟⫖↰⪸1BA2)⫥∨⫟(↯⪼(⪲⇎⫖↰⪸1428))⫸⊐(⫖↰⪸1724⋳⪒⫖↰⪸1509⩨(∥⊫⫖↰⪸2422))↺(⇁⨣⪵⫖↰⪸860)≧⫂∧(⫛⫱⨽⫖↰⪸3457)","cot":[{"info":"-⫖↰⪸145A=⫖↰⪸-145A","layer":3},{"info":"⫖↰⪸A58∑⇟⊟⫖↰⪸1BA2=NaN","layer":3},{"info":"⫖↰⪸-145A/NaN=NaN","layer":2},{"info":"⪲⇎⫖↰⪸1428=⫖↰⪸2854","layer":3},{"info":"↯⪼⫖↰⪸2854=⫖↰⪸-19","layer":2},{"info":"NaN⫥∨⫟⫖↰⪸-19=NaN","layer":1},{"info":"⫖↰⪸1724⋳⪒⫖↰⪸1509=⫖↰⪸1740","layer":3},{"info":"∥⊫⫖↰⪸2422=⫖↰⪸2A26","layer":3},{"info":"⫖↰⪸1740⩨⫖↰⪸2A26=⫖↰⪸-3","layer":2},{"info":"⇁⨣⪵⫖↰⪸860=NaN","layer":3},{"info":"⫛⫱⨽⫖↰⪸3457=⫖↰⪸0","layer":3},{"info":"NaN≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸-3↺⫖↰⪸-335=⫖↰⪸-335","layer":1},{"info":"NaN⫸⊐⫖↰⪸-335=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"≦∁$2278$∼$4001$⪘⫢($1571$⪨≂$8789$)*(⨑⩽⪐($1703$⇋≉))","expression":"≦∁⫖↰⪸139A∼⫖↰⪸2395⪘⫢(⫖↰⪸AAB⪨≂⫖↰⪸5105)*(⨑⩽⪐(⫖↰⪸B9B⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69,"operation_count":7,"complexity_ratio":9.857142857142858,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2278,"base":12},"right_expr":{"type":"numeric_atoms","value":4001,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1571,"base":12},"right_expr":{"type":"numeric_atoms","value":8789,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1703,"base":12}}}}},"used_operators":["9ICcGScMcE","9HNa5Wba9A","oacrs7FA3X","DyGG3AbaNP","sdazOOVcIp","AF7qkfDlqP","XIabStNQrY"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":4},{"info":"number node, value=4001","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=4001, 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=1571","layer":4},{"info":"number node, value=8789","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=8789, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14334","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14334, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3308","layer":3},{"info":"compute unary expreesion, input=3308, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3035","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3035, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≦∁⫖↰⪸139A∼⫖↰⪸2395⪘⫢(⫖↰⪸AAB⪨≂⫖↰⪸5105)*(⨑⩽⪐(⫖↰⪸B9B⇋≉))=NaN","reverse_text":"NaN=≦∁⫖↰⪸139A∼⫖↰⪸2395⪘⫢(⫖↰⪸AAB⪨≂⫖↰⪸5105)*(⨑⩽⪐(⫖↰⪸B9B⇋≉))","cot":[{"info":"⫖↰⪸139A∼⫖↰⪸2395=NaN","layer":3},{"info":"⫖↰⪸AAB⪨≂⫖↰⪸5105=⫖↰⪸-8366","layer":3},{"info":"NaN⪘⫢⫖↰⪸-8366=NaN","layer":2},{"info":"⫖↰⪸B9B⇋≉=⫖↰⪸1AB8","layer":3},{"info":"⨑⩽⪐⫖↰⪸1AB8=⫖↰⪸-190B","layer":2},{"info":"NaN*⫖↰⪸-190B=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":943,"expression_no_base_symbol":"(($2251$⪐)⩚⊴⇥($5925$⪒$2044$)/($6186$≫≃)⩷∴($7858$⋳⪒$5346$))-(($3427$⨎$4975$⊘)⪐)","expression":"((⫖↰⪸1377⪐)⩚⊴⇥(⫖↰⪸3519⪒⫖↰⪸1224)/(⫖↰⪸36B6≫≃)⩷∴(⫖↰⪸466A⋳⪒⫖↰⪸3116))-((⫖↰⪸1B97⨎⫖↰⪸2A67⊘)⪐)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":11,"complexity_ratio":4.7272727272727275,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2251,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5925,"base":12},"right_expr":{"type":"numeric_atoms","value":2044,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6186,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7858,"base":12},"right_expr":{"type":"numeric_atoms","value":5346,"base":12}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3427,"base":12},"right_expr":{"type":"numeric_atoms","value":4975,"base":12}}}}},"used_operators":["rysDP5nf3Z","XhwjNDsVaA","NTOWxs364D","eH2TOUuTDT","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","12rbrZMWeM","gu96TGCTMs","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2251","layer":4},{"info":"compute unary expreesion, input=2251, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4502","layer":3},{"info":"number node, value=5925","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=5925, right_input=2044, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7969","layer":3},{"info":"compute binary expreesion, left_input=4502, right_input=-7969, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3346","layer":2},{"info":"number node, value=6186","layer":4},{"info":"compute unary expreesion, input=6186, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13773","layer":3},{"info":"number node, value=7858","layer":4},{"info":"number node, value=5346","layer":4},{"info":"compute binary expreesion, left_input=7858, right_input=5346, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10083","layer":3},{"info":"compute binary expreesion, left_input=13773, right_input=10083, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7348","layer":2},{"info":"compute binary expreesion, left_input=3346, right_input=7348, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3427","layer":4},{"info":"number node, value=4975","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=4975, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4975","layer":3},{"info":"compute unary expreesion, input=4975, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1377⪐)⩚⊴⇥(⫖↰⪸3519⪒⫖↰⪸1224)/(⫖↰⪸36B6≫≃)⩷∴(⫖↰⪸466A⋳⪒⫖↰⪸3116))-((⫖↰⪸1B97⨎⫖↰⪸2A67⊘)⪐)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸1377⪐)⩚⊴⇥(⫖↰⪸3519⪒⫖↰⪸1224)/(⫖↰⪸36B6≫≃)⩷∴(⫖↰⪸466A⋳⪒⫖↰⪸3116))-((⫖↰⪸1B97⨎⫖↰⪸2A67⊘)⪐)","cot":[{"info":"⫖↰⪸1377⪐=⫖↰⪸2732","layer":3},{"info":"⫖↰⪸3519⪒⫖↰⪸1224=⫖↰⪸-4741","layer":3},{"info":"⫖↰⪸2732⩚⊴⇥⫖↰⪸-4741=⫖↰⪸1B2A","layer":2},{"info":"⫖↰⪸36B6≫≃=⫖↰⪸7B79","layer":3},{"info":"⫖↰⪸466A⋳⪒⫖↰⪸3116=⫖↰⪸5A03","layer":3},{"info":"⫖↰⪸7B79⩷∴⫖↰⪸5A03=⫖↰⪸4304","layer":2},{"info":"⫖↰⪸1B2A/⫖↰⪸4304=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1B97⨎⫖↰⪸2A67=⫖↰⪸2A67","layer":3},{"info":"⫖↰⪸2A67⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⪐=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0-⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":944,"expression_no_base_symbol":"($3084$⪛$4706$⨽($1148$⨳⩥⨓$2567$)⊉≛↸(($2498$⪄$1112$)⨁⊸⫻))⨪↰⇹(($5244$⩨$1993$)≭(∥⊫$5330$)⩨(($1249$∧)⪒$2615$⨐⩸⫘$2624$))","expression":"(⫖↰⪸1950⪛⫖↰⪸2882⨽(⫖↰⪸7B8⨳⩥⨓⫖↰⪸159B)⊉≛↸((⫖↰⪸1542⪄⫖↰⪸788)⨁⊸⫻))⨪↰⇹((⫖↰⪸3050⩨⫖↰⪸11A1)≭(∥⊫⫖↰⪸3102)⩨((⫖↰⪸881∧)⪒⫖↰⪸161B⨐⩸⫘⫖↰⪸1628))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":743707,"operation_count":14,"complexity_ratio":53121.92857142857,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3084,"base":12},"right_expr":{"type":"numeric_atoms","value":4706,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1148,"base":12},"right_expr":{"type":"numeric_atoms","value":2567,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2498,"base":12},"right_expr":{"type":"numeric_atoms","value":1112,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5244,"base":12},"right_expr":{"type":"numeric_atoms","value":1993,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5330,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1249,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2615,"base":12},"right_expr":{"type":"numeric_atoms","value":2624,"base":12}}}}},"used_operators":["tmPS8pqC7x","DZ8iAZOCBD","8HhzD0ZcuI","uFcxV4UQCh","nCS4ZIUYfx","glklzrTFfD","SUmda5xLS4","2DlMacCsIx","rxpJgHHUmx","P8v4zCKN1o","f6k1SAg4EE","z63VuFQld9","fu6greOZ01"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp"],"result":"⫖↰⪸2B862A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=4706, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3084","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=2567","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=2567, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1419","layer":3},{"info":"compute binary expreesion, left_input=3084, right_input=1419, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28536111","layer":2},{"info":"number node, value=2498","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1112, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-370241","layer":3},{"info":"compute unary expreesion, input=-370241, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-740482","layer":2},{"info":"compute binary expreesion, left_input=-28536111, right_input=-740482, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=740482","layer":1},{"info":"number node, value=5244","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=5244, right_input=1993, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5330","layer":4},{"info":"compute unary expreesion, input=5330, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6198","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6198, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1249","layer":4},{"info":"compute unary expreesion, input=1249, 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=2615","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=2624, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=740482, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=740482","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1950⪛⫖↰⪸2882⨽(⫖↰⪸7B8⨳⩥⨓⫖↰⪸159B)⊉≛↸((⫖↰⪸1542⪄⫖↰⪸788)⨁⊸⫻))⨪↰⇹((⫖↰⪸3050⩨⫖↰⪸11A1)≭(∥⊫⫖↰⪸3102)⩨((⫖↰⪸881∧)⪒⫖↰⪸161B⨐⩸⫘⫖↰⪸1628))=⫖↰⪸2B862A","reverse_text":"⫖↰⪸2B862A=(⫖↰⪸1950⪛⫖↰⪸2882⨽(⫖↰⪸7B8⨳⩥⨓⫖↰⪸159B)⊉≛↸((⫖↰⪸1542⪄⫖↰⪸788)⨁⊸⫻))⨪↰⇹((⫖↰⪸3050⩨⫖↰⪸11A1)≭(∥⊫⫖↰⪸3102)⩨((⫖↰⪸881∧)⪒⫖↰⪸161B⨐⩸⫘⫖↰⪸1628))","cot":[{"info":"⫖↰⪸1950⪛⫖↰⪸2882=⫖↰⪸1950","layer":3},{"info":"⫖↰⪸7B8⨳⩥⨓⫖↰⪸159B=⫖↰⪸9A3","layer":3},{"info":"⫖↰⪸1950⨽⫖↰⪸9A3=⫖↰⪸-9681B53","layer":2},{"info":"⫖↰⪸1542⪄⫖↰⪸788=⫖↰⪸-15A315","layer":3},{"info":"⫖↰⪸-15A315⨁⊸⫻=⫖↰⪸-2B862A","layer":2},{"info":"⫖↰⪸-9681B53⊉≛↸⫖↰⪸-2B862A=⫖↰⪸2B862A","layer":1},{"info":"⫖↰⪸3050⩨⫖↰⪸11A1=⫖↰⪸0","layer":3},{"info":"∥⊫⫖↰⪸3102=⫖↰⪸3706","layer":3},{"info":"⫖↰⪸0≭⫖↰⪸3706=NaN","layer":2},{"info":"⫖↰⪸881∧=NaN","layer":3},{"info":"⫖↰⪸161B⨐⩸⫘⫖↰⪸1628=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫖↰⪸2B862A⨪↰⇹NaN=⫖↰⪸2B862A","layer":0}]}
{"id":945,"expression_no_base_symbol":"(($2389$⫡⨏$4933$)⪢($2299$∼$3241$)⋷($3711$⨐⩸⫘$3299$)≎⊠⪸($1743$⪒$6014$))⊘","expression":"((⫖↰⪸1471⫡⨏⫖↰⪸2A31)⪢(⫖↰⪸13B7∼⫖↰⪸1A61)⋷(⫖↰⪸2193⨐⩸⫘⫖↰⪸1AAB)≎⊠⪸(⫖↰⪸1013⪒⫖↰⪸3592))⊘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93,"operation_count":8,"complexity_ratio":11.625,"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":2389,"base":12},"right_expr":{"type":"numeric_atoms","value":4933,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2299,"base":12},"right_expr":{"type":"numeric_atoms","value":3241,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3711,"base":12},"right_expr":{"type":"numeric_atoms","value":3299,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1743,"base":12},"right_expr":{"type":"numeric_atoms","value":6014,"base":12}}}}},"used_operators":["gu96TGCTMs","23Mk6UjR3U","dWAJyo7jo9","QMFrweE19q","DyGG3AbaNP","bJkvcejdHO","fu6greOZ01","f6k1SAg4EE"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"number node, value=4933","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=4933, 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=22594","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=3241, 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=22594, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3711","layer":4},{"info":"number node, value=3299","layer":4},{"info":"compute binary expreesion, left_input=3711, right_input=3299, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1743","layer":4},{"info":"number node, value=6014","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=6014, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7757","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7757, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1471⫡⨏⫖↰⪸2A31)⪢(⫖↰⪸13B7∼⫖↰⪸1A61)⋷(⫖↰⪸2193⨐⩸⫘⫖↰⪸1AAB)≎⊠⪸(⫖↰⪸1013⪒⫖↰⪸3592))⊘=NaN","reverse_text":"NaN=((⫖↰⪸1471⫡⨏⫖↰⪸2A31)⪢(⫖↰⪸13B7∼⫖↰⪸1A61)⋷(⫖↰⪸2193⨐⩸⫘⫖↰⪸1AAB)≎⊠⪸(⫖↰⪸1013⪒⫖↰⪸3592))⊘","cot":[{"info":"⫖↰⪸1471⫡⨏⫖↰⪸2A31=⫖↰⪸110AA","layer":3},{"info":"⫖↰⪸13B7∼⫖↰⪸1A61=NaN","layer":3},{"info":"⫖↰⪸110AA⪢NaN=NaN","layer":2},{"info":"⫖↰⪸2193⨐⩸⫘⫖↰⪸1AAB=NaN","layer":3},{"info":"⫖↰⪸1013⪒⫖↰⪸3592=⫖↰⪸-45A5","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸-45A5=⫖↰⪸57","layer":2},{"info":"NaN⋷⫖↰⪸57=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"(↽≂($5429$⫸⊐$5963$))⊉≛↸($2835$⋝⋈⪟$2219$)⨪↰⇹($1425$+⇶⊼$2384$)*(↥($1317$%$6039$⫡⨏$3094$⊉≛↸$2866$))","expression":"(↽≂(⫖↰⪸3185⫸⊐⫖↰⪸354B))⊉≛↸(⫖↰⪸1783⋝⋈⪟⫖↰⪸134B)⨪↰⇹(⫖↰⪸9A9+⇶⊼⫖↰⪸1468)*(↥(⫖↰⪸919%⫖↰⪸35B3⫡⨏⫖↰⪸195A⊉≛↸⫖↰⪸17AA))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3274,"operation_count":11,"complexity_ratio":297.6363636363636,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5429,"base":12},"right_expr":{"type":"numeric_atoms","value":5963,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2835,"base":12},"right_expr":{"type":"numeric_atoms","value":2219,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1425,"base":12},"right_expr":{"type":"numeric_atoms","value":2384,"base":12}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1317,"base":12},"right_expr":{"type":"numeric_atoms","value":6039,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3094,"base":12},"right_expr":{"type":"numeric_atoms","value":2866,"base":12}}}}},"used_operators":["9HNa5Wba9A","DZ8iAZOCBD","u6S6b8DprG","mqXw5SEYmG","tmPS8pqC7x","2DDjHMKMc0","TpPTUOHfaN","A8NUZmVepG","QMFrweE19q","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-B599","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5429","layer":4},{"info":"number node, value=5963","layer":4},{"info":"compute binary expreesion, left_input=5429, right_input=5963, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23727","layer":3},{"info":"compute unary expreesion, input=23727, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-47454","layer":2},{"info":"number node, value=2835","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=2219, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2835","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=2384, 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=2835, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2835","layer":2},{"info":"compute binary expreesion, left_input=-47454, right_input=2835, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2835","layer":1},{"info":"number node, value=1317","layer":4},{"info":"number node, value=6039","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=6039, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1317","layer":3},{"info":"number node, value=3094","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=2866, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6188","layer":3},{"info":"compute binary expreesion, left_input=1317, right_input=6188, 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=19744","layer":2},{"info":"compute unary expreesion, input=19744, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":1},{"info":"compute binary expreesion, left_input=-2835, right_input=7, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-19845","layer":0}],"base":12,"result_base":12,"text":"(↽≂(⫖↰⪸3185⫸⊐⫖↰⪸354B))⊉≛↸(⫖↰⪸1783⋝⋈⪟⫖↰⪸134B)⨪↰⇹(⫖↰⪸9A9+⇶⊼⫖↰⪸1468)*(↥(⫖↰⪸919%⫖↰⪸35B3⫡⨏⫖↰⪸195A⊉≛↸⫖↰⪸17AA))=⫖↰⪸-B599","reverse_text":"⫖↰⪸-B599=(↽≂(⫖↰⪸3185⫸⊐⫖↰⪸354B))⊉≛↸(⫖↰⪸1783⋝⋈⪟⫖↰⪸134B)⨪↰⇹(⫖↰⪸9A9+⇶⊼⫖↰⪸1468)*(↥(⫖↰⪸919%⫖↰⪸35B3⫡⨏⫖↰⪸195A⊉≛↸⫖↰⪸17AA))","cot":[{"info":"⫖↰⪸3185⫸⊐⫖↰⪸354B=⫖↰⪸11893","layer":3},{"info":"↽≂⫖↰⪸11893=⫖↰⪸-23566","layer":2},{"info":"⫖↰⪸1783⋝⋈⪟⫖↰⪸134B=⫖↰⪸1783","layer":3},{"info":"⫖↰⪸9A9+⇶⊼⫖↰⪸1468=NaN","layer":3},{"info":"⫖↰⪸1783⨪↰⇹NaN=⫖↰⪸1783","layer":2},{"info":"⫖↰⪸-23566⊉≛↸⫖↰⪸1783=⫖↰⪸-1783","layer":1},{"info":"⫖↰⪸919%⫖↰⪸35B3=⫖↰⪸919","layer":3},{"info":"⫖↰⪸195A⊉≛↸⫖↰⪸17AA=⫖↰⪸36B8","layer":3},{"info":"⫖↰⪸919⫡⨏⫖↰⪸36B8=⫖↰⪸B514","layer":2},{"info":"↥⫖↰⪸B514=⫖↰⪸7","layer":1},{"info":"⫖↰⪸-1783*⫖↰⪸7=⫖↰⪸-B599","layer":0}]}
{"id":947,"expression_no_base_symbol":"(⨰⫟⨤(⫓⪴$1180$))⨟⋌⩍($7144$⨟⋌⩍$1654$∑⇟⊟($4632$↙$3059$))⫸⊐$1626$⪮%⊝$2792$∼($1400$*$1034$)∼($6485$⨰$4563$)⨟⋌⩍(⋗⩬⋾$3159$)","expression":"(⨰⫟⨤(⫓⪴⫖↰⪸824))⨟⋌⩍(⫖↰⪸4174⨟⋌⩍⫖↰⪸B5A∑⇟⊟(⫖↰⪸2820↙⫖↰⪸192B))⫸⊐⫖↰⪸B36⪮%⊝⫖↰⪸1748∼(⫖↰⪸988*⫖↰⪸722)∼(⫖↰⪸3905⨰⫖↰⪸2783)⨟⋌⩍(⋗⩬⋾⫖↰⪸19B3)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2789338,"operation_count":14,"complexity_ratio":199238.42857142858,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1180,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7144,"base":12},"right_expr":{"type":"numeric_atoms","value":1654,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4632,"base":12},"right_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":1626,"base":12},"right_expr":{"type":"numeric_atoms","value":2792,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1400,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6485,"base":12},"right_expr":{"type":"numeric_atoms","value":4563,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3159,"base":12}}}}},"used_operators":["mqXw5SEYmG","rGHVDoGpnC","Tw270M8GLb","eLxqMNBOBk","U7g4x0WXJJ","yyfyN0ffXY","DyGG3AbaNP","IWmyXbctLI","9HNa5Wba9A","eewbuw0ToL","DpFCA1CohY"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1392400","layer":3},{"info":"compute unary expreesion, input=1392400, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=7144","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=7144, right_input=1654, 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=4632","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=4632, right_input=3059, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9177, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1626","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=2792, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3568","layer":3},{"info":"number node, value=1400","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1034, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1447600","layer":3},{"info":"compute binary expreesion, left_input=3568, right_input=1447600, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=6485","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=6485, right_input=4563, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1932","layer":3},{"info":"number node, value=3159","layer":4},{"info":"compute unary expreesion, input=3159, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9477","layer":3},{"info":"compute binary expreesion, left_input=1932, right_input=-9477, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⨰⫟⨤(⫓⪴⫖↰⪸824))⨟⋌⩍(⫖↰⪸4174⨟⋌⩍⫖↰⪸B5A∑⇟⊟(⫖↰⪸2820↙⫖↰⪸192B))⫸⊐⫖↰⪸B36⪮%⊝⫖↰⪸1748∼(⫖↰⪸988*⫖↰⪸722)∼(⫖↰⪸3905⨰⫖↰⪸2783)⨟⋌⩍(⋗⩬⋾⫖↰⪸19B3)=NaN","reverse_text":"NaN=(⨰⫟⨤(⫓⪴⫖↰⪸824))⨟⋌⩍(⫖↰⪸4174⨟⋌⩍⫖↰⪸B5A∑⇟⊟(⫖↰⪸2820↙⫖↰⪸192B))⫸⊐⫖↰⪸B36⪮%⊝⫖↰⪸1748∼(⫖↰⪸988*⫖↰⪸722)∼(⫖↰⪸3905⨰⫖↰⪸2783)⨟⋌⩍(⋗⩬⋾⫖↰⪸19B3)","cot":[{"info":"⫓⪴⫖↰⪸824=⫖↰⪸571954","layer":3},{"info":"⨰⫟⨤⫖↰⪸571954=NaN","layer":2},{"info":"⫖↰⪸4174⨟⋌⩍⫖↰⪸B5A=NaN","layer":3},{"info":"⫖↰⪸2820↙⫖↰⪸192B=⫖↰⪸-5389","layer":3},{"info":"NaN∑⇟⊟⫖↰⪸-5389=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⫖↰⪸B36⪮%⊝⫖↰⪸1748=⫖↰⪸2094","layer":3},{"info":"⫖↰⪸988*⫖↰⪸722=⫖↰⪸599894","layer":3},{"info":"⫖↰⪸2094∼⫖↰⪸599894=NaN","layer":2},{"info":"⫖↰⪸3905⨰⫖↰⪸2783=⫖↰⪸1150","layer":3},{"info":"⋗⩬⋾⫖↰⪸19B3=⫖↰⪸-5599","layer":3},{"info":"⫖↰⪸1150⨟⋌⩍⫖↰⪸-5599=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"≤/(⊄⩳↩($1480$↬$2078$)⪢($2033$⫸⊐$3057$))","expression":"≤/(⊄⩳↩(⫖↰⪸A34↬⫖↰⪸1252)⪢(⫖↰⪸1215⫸⊐⫖↰⪸1929))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12132,"operation_count":5,"complexity_ratio":2426.4,"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":1480,"base":12},"right_expr":{"type":"numeric_atoms","value":2078,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2033,"base":12},"right_expr":{"type":"numeric_atoms","value":3057,"base":12}}}}},"used_operators":["eLAdDNolq6","8w2t5hMYqp","dWAJyo7jo9","B5M0gjZbta","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"number node, value=2078","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=2078, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2033","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=3057, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12103, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/(⊄⩳↩(⫖↰⪸A34↬⫖↰⪸1252)⪢(⫖↰⪸1215⫸⊐⫖↰⪸1929))=NaN","reverse_text":"NaN=≤/(⊄⩳↩(⫖↰⪸A34↬⫖↰⪸1252)⪢(⫖↰⪸1215⫸⊐⫖↰⪸1929))","cot":[{"info":"⫖↰⪸A34↬⫖↰⪸1252=NaN","layer":3},{"info":"⫖↰⪸1215⫸⊐⫖↰⪸1929=⫖↰⪸7007","layer":3},{"info":"NaN⪢⫖↰⪸7007=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"((⫓⪴$4283$)⨽($1281$↙$3619$))+⇶⊼($6384$≎⊠⪸$4738$)⪘⫢($7106$⊉≛↸$2292$)⨽(⨵≀≌($3201$-$1018$))⪘⫢($1176$⋳⪒$2131$)⨟⋌⩍($1407$↺$2750$)","expression":"((⫓⪴⫖↰⪸258B)⨽(⫖↰⪸8A9↙⫖↰⪸2117))+⇶⊼(⫖↰⪸3840≎⊠⪸⫖↰⪸28AA)⪘⫢(⫖↰⪸4142⊉≛↸⫖↰⪸13B0)⨽(⨵≀≌(⫖↰⪸1A29-⫖↰⪸70A))⪘⫢(⫖↰⪸820⋳⪒⫖↰⪸1297)⨟⋌⩍(⫖↰⪸993↺⫖↰⪸1712)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18352324,"operation_count":14,"complexity_ratio":1310880.2857142857,"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":4283,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1281,"base":12},"right_expr":{"type":"numeric_atoms","value":3619,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6384,"base":12},"right_expr":{"type":"numeric_atoms","value":4738,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7106,"base":12},"right_expr":{"type":"numeric_atoms","value":2292,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3201,"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":1176,"base":12},"right_expr":{"type":"numeric_atoms","value":2131,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1407,"base":12},"right_expr":{"type":"numeric_atoms","value":2750,"base":12}}}}},"used_operators":["8HhzD0ZcuI","TpPTUOHfaN","eLxqMNBOBk","yyfyN0ffXY","oacrs7FA3X","bJkvcejdHO","DZ8iAZOCBD","srAu1WTS94","rysDP5nf3Z","rGHVDoGpnC","12rbrZMWeM","7j4O788W3g"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4283","layer":4},{"info":"compute unary expreesion, input=4283, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18344089","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=3619, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10857","layer":3},{"info":"compute binary expreesion, left_input=18344089, right_input=-10857, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=6384","layer":4},{"info":"number node, value=4738","layer":4},{"info":"compute binary expreesion, left_input=6384, right_input=4738, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1652983","layer":3},{"info":"number node, value=7106","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=7106, right_input=2292, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14212","layer":3},{"info":"compute binary expreesion, left_input=1652983, right_input=14212, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3305842","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=3305842, 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=3201","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1018, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2183","layer":3},{"info":"compute unary expreesion, input=2183, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6549","layer":2},{"info":"number node, value=1176","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=2131, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-66","layer":3},{"info":"number node, value=1407","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=2750, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2750","layer":3},{"info":"compute binary expreesion, left_input=-66, right_input=2750, 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=-6549, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴⫖↰⪸258B)⨽(⫖↰⪸8A9↙⫖↰⪸2117))+⇶⊼(⫖↰⪸3840≎⊠⪸⫖↰⪸28AA)⪘⫢(⫖↰⪸4142⊉≛↸⫖↰⪸13B0)⨽(⨵≀≌(⫖↰⪸1A29-⫖↰⪸70A))⪘⫢(⫖↰⪸820⋳⪒⫖↰⪸1297)⨟⋌⩍(⫖↰⪸993↺⫖↰⪸1712)=NaN","reverse_text":"NaN=((⫓⪴⫖↰⪸258B)⨽(⫖↰⪸8A9↙⫖↰⪸2117))+⇶⊼(⫖↰⪸3840≎⊠⪸⫖↰⪸28AA)⪘⫢(⫖↰⪸4142⊉≛↸⫖↰⪸13B0)⨽(⨵≀≌(⫖↰⪸1A29-⫖↰⪸70A))⪘⫢(⫖↰⪸820⋳⪒⫖↰⪸1297)⨟⋌⩍(⫖↰⪸993↺⫖↰⪸1712)","cot":[{"info":"⫓⪴⫖↰⪸258B=⫖↰⪸6187961","layer":3},{"info":"⫖↰⪸8A9↙⫖↰⪸2117=⫖↰⪸-6349","layer":3},{"info":"⫖↰⪸6187961⨽⫖↰⪸-6349=-Inf","layer":2},{"info":"⫖↰⪸3840≎⊠⪸⫖↰⪸28AA=⫖↰⪸678707","layer":3},{"info":"⫖↰⪸4142⊉≛↸⫖↰⪸13B0=⫖↰⪸8284","layer":3},{"info":"⫖↰⪸678707⪘⫢⫖↰⪸8284=⫖↰⪸113512A","layer":2},{"info":"-Inf+⇶⊼⫖↰⪸113512A=NaN","layer":1},{"info":"⫖↰⪸1A29-⫖↰⪸70A=⫖↰⪸131B","layer":3},{"info":"⨵≀≌⫖↰⪸131B=⫖↰⪸-3959","layer":2},{"info":"⫖↰⪸820⋳⪒⫖↰⪸1297=⫖↰⪸-56","layer":3},{"info":"⫖↰⪸993↺⫖↰⪸1712=⫖↰⪸1712","layer":3},{"info":"⫖↰⪸-56⨟⋌⩍⫖↰⪸1712=NaN","layer":2},{"info":"⫖↰⪸-3959⪘⫢NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"(($2800$⪐)%(⨵≀≌$7043$))⩷∴(≉($1083$⨸⪁$2337$))⇼⇔∾($1103$≧⫂∧$4369$)⨟⋌⩍($2433$⪘⫢$4362$)≎⊠⪸($4265$⩚⊴⇥$5363$⪄(∂$1766$))","expression":"((⫖↰⪸1754⪐)%(⨵≀≌⫖↰⪸40AB))⩷∴(≉(⫖↰⪸763⨸⪁⫖↰⪸1429))⇼⇔∾(⫖↰⪸77B≧⫂∧⫖↰⪸2641)⨟⋌⩍(⫖↰⪸14A9⪘⫢⫖↰⪸2636)≎⊠⪸(⫖↰⪸2575⩚⊴⇥⫖↰⪸312B⪄(∂⫖↰⪸1032))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":144,"operation_count":14,"complexity_ratio":10.285714285714286,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2800,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7043,"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":2337,"base":12}}}},"right_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":4369,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2433,"base":12},"right_expr":{"type":"numeric_atoms","value":4362,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4265,"base":12},"right_expr":{"type":"numeric_atoms","value":5363,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1766,"base":12}}}}},"used_operators":["tifHPKVTfV","9FxExcQeMw","k8jYdgA6NY","eH2TOUuTDT","srAu1WTS94","e1ybzncUwg","g55IO6H4Gj","bJkvcejdHO","rGHVDoGpnC","Ph9nP6C5qx","oacrs7FA3X","SUmda5xLS4","NTOWxs364D","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2800","layer":4},{"info":"compute unary expreesion, input=2800, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5600","layer":3},{"info":"number node, value=7043","layer":4},{"info":"compute unary expreesion, input=7043, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-21129","layer":3},{"info":"compute binary expreesion, left_input=5600, right_input=-21129, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-15529","layer":2},{"info":"number node, value=1083","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=2337, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6840","layer":3},{"info":"compute unary expreesion, input=6840, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7371","layer":2},{"info":"compute binary expreesion, left_input=-15529, right_input=7371, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-45832","layer":1},{"info":"number node, value=1103","layer":4},{"info":"number node, value=4369","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=4369, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3896","layer":3},{"info":"number node, value=2433","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=4362, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4742","layer":3},{"info":"compute binary expreesion, left_input=3896, right_input=4742, 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=4265","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=5363, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9749","layer":3},{"info":"number node, value=1766","layer":4},{"info":"compute unary expreesion, input=1766, 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=-9749, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-45832, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1754⪐)%(⨵≀≌⫖↰⪸40AB))⩷∴(≉(⫖↰⪸763⨸⪁⫖↰⪸1429))⇼⇔∾(⫖↰⪸77B≧⫂∧⫖↰⪸2641)⨟⋌⩍(⫖↰⪸14A9⪘⫢⫖↰⪸2636)≎⊠⪸(⫖↰⪸2575⩚⊴⇥⫖↰⪸312B⪄(∂⫖↰⪸1032))=NaN","reverse_text":"NaN=((⫖↰⪸1754⪐)%(⨵≀≌⫖↰⪸40AB))⩷∴(≉(⫖↰⪸763⨸⪁⫖↰⪸1429))⇼⇔∾(⫖↰⪸77B≧⫂∧⫖↰⪸2641)⨟⋌⩍(⫖↰⪸14A9⪘⫢⫖↰⪸2636)≎⊠⪸(⫖↰⪸2575⩚⊴⇥⫖↰⪸312B⪄(∂⫖↰⪸1032))","cot":[{"info":"⫖↰⪸1754⪐=⫖↰⪸32A8","layer":3},{"info":"⨵≀≌⫖↰⪸40AB=⫖↰⪸-10289","layer":3},{"info":"⫖↰⪸32A8%⫖↰⪸-10289=⫖↰⪸-8BA1","layer":2},{"info":"⫖↰⪸763⨸⪁⫖↰⪸1429=⫖↰⪸3B60","layer":3},{"info":"≉⫖↰⪸3B60=⫖↰⪸4323","layer":2},{"info":"⫖↰⪸-8BA1⩷∴⫖↰⪸4323=⫖↰⪸-22634","layer":1},{"info":"⫖↰⪸77B≧⫂∧⫖↰⪸2641=⫖↰⪸2308","layer":3},{"info":"⫖↰⪸14A9⪘⫢⫖↰⪸2636=⫖↰⪸28B2","layer":3},{"info":"⫖↰⪸2308⨟⋌⩍⫖↰⪸28B2=NaN","layer":2},{"info":"⫖↰⪸2575⩚⊴⇥⫖↰⪸312B=⫖↰⪸-5785","layer":3},{"info":"∂⫖↰⪸1032=NaN","layer":3},{"info":"⫖↰⪸-5785⪄NaN=⫖↰⪸2377","layer":2},{"info":"NaN≎⊠⪸⫖↰⪸2377=NaN","layer":1},{"info":"⫖↰⪸-22634⇼⇔∾NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"⊄⩳↩(⨵≀≌($1024$≧⫂∧$2123$-(⊙↵-$1257$)))","expression":"⊄⩳↩(⨵≀≌(⫖↰⪸714≧⫂∧⫖↰⪸128B-(⊙↵-⫖↰⪸889)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1311,"operation_count":5,"complexity_ratio":262.2,"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":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":2123,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1257,"base":12}}}}},"used_operators":["8w2t5hMYqp","srAu1WTS94","rysDP5nf3Z","Ph9nP6C5qx","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸8723","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2123, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1650","layer":3},{"info":"number node, value=1257","layer":4},{"info":"compute unary expreesion, input=1257, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1651","layer":2},{"info":"compute unary expreesion, input=1651, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4953","layer":1},{"info":"compute unary expreesion, input=-4953, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=14859","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(⨵≀≌(⫖↰⪸714≧⫂∧⫖↰⪸128B-(⊙↵-⫖↰⪸889)))=⫖↰⪸8723","reverse_text":"⫖↰⪸8723=⊄⩳↩(⨵≀≌(⫖↰⪸714≧⫂∧⫖↰⪸128B-(⊙↵-⫖↰⪸889)))","cot":[{"info":"⫖↰⪸714≧⫂∧⫖↰⪸128B=⫖↰⪸B56","layer":3},{"info":"⊙↵-⫖↰⪸889=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸B56-⫖↰⪸-1=⫖↰⪸B57","layer":2},{"info":"⨵≀≌⫖↰⪸B57=⫖↰⪸-2A49","layer":1},{"info":"⊄⩳↩⫖↰⪸-2A49=⫖↰⪸8723","layer":0}]}
{"id":952,"expression_no_base_symbol":"(($1671$∑⇟⊟$4110$∲⫓$1225$⋥≓≎$3904$)⊉≛↸($5396$≧⫂∧$1006$)≹⇙⪍($1689$⪨≂$1287$))⩷∴(($1723$↺$5271$)∑⇟⊟$3610$⊴$1541$)⪛(($3114$+⇶⊼$8609$)⇷$4705$∼$3952$)","expression":"((⫖↰⪸B73∑⇟⊟⫖↰⪸2466∲⫓⫖↰⪸861⋥≓≎⫖↰⪸2314)⊉≛↸(⫖↰⪸3158≧⫂∧⫖↰⪸6BA)≹⇙⪍(⫖↰⪸B89⪨≂⫖↰⪸8B3))⩷∴((⫖↰⪸BB7↺⫖↰⪸3073)∑⇟⊟⫖↰⪸210A⊴⫖↰⪸A85)⪛((⫖↰⪸1976+⇶⊼⫖↰⪸4B95)⇷⫖↰⪸2881∼⫖↰⪸2354)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":823549,"operation_count":15,"complexity_ratio":54903.26666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1671,"base":12},"right_expr":{"type":"numeric_atoms","value":4110,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1225,"base":12},"right_expr":{"type":"numeric_atoms","value":3904,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5396,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1689,"base":12},"right_expr":{"type":"numeric_atoms","value":1287,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1723,"base":12},"right_expr":{"type":"numeric_atoms","value":5271,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3610,"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":3114,"base":12},"right_expr":{"type":"numeric_atoms","value":8609,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4705,"base":12},"right_expr":{"type":"numeric_atoms","value":3952,"base":12}}}}},"used_operators":["9FxExcQeMw","DZ8iAZOCBD","i8ToyICDmI","U7g4x0WXJJ","Qy55tPpLXF","AHs5Up7iyr","Ph9nP6C5qx","sdazOOVcIp","uFcxV4UQCh","7j4O788W3g","Nsiff2A1zJ","mp7IySMOzn","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1671","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=4110, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=3904","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=3904, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6616","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6616, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=5396","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=5396, right_input=1006, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=533","layer":3},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1287, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=906","layer":3},{"info":"compute binary expreesion, left_input=533, right_input=906, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=1723","layer":4},{"info":"number node, value=5271","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=5271, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5271","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1541, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5271, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3114","layer":4},{"info":"number node, value=8609","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=8609, 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=4705","layer":4},{"info":"number node, value=3952","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=3952, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B73∑⇟⊟⫖↰⪸2466∲⫓⫖↰⪸861⋥≓≎⫖↰⪸2314)⊉≛↸(⫖↰⪸3158≧⫂∧⫖↰⪸6BA)≹⇙⪍(⫖↰⪸B89⪨≂⫖↰⪸8B3))⩷∴((⫖↰⪸BB7↺⫖↰⪸3073)∑⇟⊟⫖↰⪸210A⊴⫖↰⪸A85)⪛((⫖↰⪸1976+⇶⊼⫖↰⪸4B95)⇷⫖↰⪸2881∼⫖↰⪸2354)=NaN","reverse_text":"NaN=((⫖↰⪸B73∑⇟⊟⫖↰⪸2466∲⫓⫖↰⪸861⋥≓≎⫖↰⪸2314)⊉≛↸(⫖↰⪸3158≧⫂∧⫖↰⪸6BA)≹⇙⪍(⫖↰⪸B89⪨≂⫖↰⪸8B3))⩷∴((⫖↰⪸BB7↺⫖↰⪸3073)∑⇟⊟⫖↰⪸210A⊴⫖↰⪸A85)⪛((⫖↰⪸1976+⇶⊼⫖↰⪸4B95)⇷⫖↰⪸2881∼⫖↰⪸2354)","cot":[{"info":"⫖↰⪸B73∑⇟⊟⫖↰⪸2466=NaN","layer":3},{"info":"⫖↰⪸861⋥≓≎⫖↰⪸2314=⫖↰⪸39B4","layer":3},{"info":"NaN∲⫓⫖↰⪸39B4=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3158≧⫂∧⫖↰⪸6BA=⫖↰⪸385","layer":3},{"info":"⫖↰⪸B89⪨≂⫖↰⪸8B3=⫖↰⪸636","layer":3},{"info":"⫖↰⪸385≹⇙⪍⫖↰⪸636=NaN","layer":2},{"info":"⫖↰⪸0⊉≛↸NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸BB7↺⫖↰⪸3073=⫖↰⪸3073","layer":3},{"info":"⫖↰⪸210A⊴⫖↰⪸A85=NaN","layer":3},{"info":"⫖↰⪸3073∑⇟⊟NaN=NaN","layer":2},{"info":"⫖↰⪸1976+⇶⊼⫖↰⪸4B95=NaN","layer":3},{"info":"⫖↰⪸2881∼⫖↰⪸2354=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫖↰⪸0⩷∴NaN=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"≉(≤/(⨑⩽⪐$2437$)⨐⩸⫘$1305$≧⫂∧$1157$)","expression":"≉(≤/(⨑⩽⪐⫖↰⪸14B1)⨐⩸⫘⫖↰⪸909≧⫂∧⫖↰⪸805)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":471968,"operation_count":5,"complexity_ratio":94393.6,"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":2437,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1305,"base":12},"right_expr":{"type":"numeric_atoms","value":1157,"base":12}}}}},"used_operators":["e1ybzncUwg","eLAdDNolq6","fu6greOZ01","AF7qkfDlqP","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸B9A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2437","layer":4},{"info":"compute unary expreesion, input=2437, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2164","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1157, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=684","layer":3},{"info":"compute binary expreesion, left_input=-2164, right_input=684, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-687","layer":2},{"info":"compute unary expreesion, input=-687, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1171","layer":1},{"info":"compute unary expreesion, input=1171, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1702","layer":0}],"base":12,"result_base":12,"text":"≉(≤/(⨑⩽⪐⫖↰⪸14B1)⨐⩸⫘⫖↰⪸909≧⫂∧⫖↰⪸805)=⫖↰⪸B9A","reverse_text":"⫖↰⪸B9A=≉(≤/(⨑⩽⪐⫖↰⪸14B1)⨐⩸⫘⫖↰⪸909≧⫂∧⫖↰⪸805)","cot":[{"info":"⨑⩽⪐⫖↰⪸14B1=⫖↰⪸-1304","layer":3},{"info":"⫖↰⪸909≧⫂∧⫖↰⪸805=⫖↰⪸490","layer":3},{"info":"⫖↰⪸-1304⨐⩸⫘⫖↰⪸490=⫖↰⪸-493","layer":2},{"info":"≤/⫖↰⪸-493=⫖↰⪸817","layer":1},{"info":"≉⫖↰⪸817=⫖↰⪸B9A","layer":0}]}
{"id":954,"expression_no_base_symbol":"(⨞⊢($1033$⨪↰⇹$6359$)⪛($2550$∀⇚≩$1284$))⪮%⊝((↩(≤/$1854$))⩚⊴⇥(($4002$+$4504$)%(⨰⫟⨤$1747$)))","expression":"(⨞⊢(⫖↰⪸721⨪↰⇹⫖↰⪸381B)⪛(⫖↰⪸1586∀⇚≩⫖↰⪸8B0))⪮%⊝((↩(≤/⫖↰⪸10A6))⩚⊴⇥((⫖↰⪸2396+⫖↰⪸2734)%(⨰⫟⨤⫖↰⪸1017)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25072,"operation_count":11,"complexity_ratio":2279.2727272727275,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1033,"base":12},"right_expr":{"type":"numeric_atoms","value":6359,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2550,"base":12},"right_expr":{"type":"numeric_atoms","value":1284,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1854,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4002,"base":12},"right_expr":{"type":"numeric_atoms","value":4504,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1747,"base":12}}}}},"used_operators":["IWmyXbctLI","xUOZtlo3hN","uFcxV4UQCh","tmPS8pqC7x","LRNGc0VcxI","NTOWxs364D","jLgFTUHLKL","eLAdDNolq6","k8jYdgA6NY","W4YGzv6Whe","Tw270M8GLb"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"number node, value=6359","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=6359, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1033","layer":3},{"info":"number node, value=2550","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=1284, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1033, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=1854","layer":4},{"info":"compute unary expreesion, input=1854, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1370","layer":3},{"info":"compute unary expreesion, input=-1370, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=8100","layer":2},{"info":"number node, value=4002","layer":4},{"info":"number node, value=4504","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=4504, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8506","layer":3},{"info":"number node, value=1747","layer":4},{"info":"compute unary expreesion, input=1747, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8506, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8100, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢(⫖↰⪸721⨪↰⇹⫖↰⪸381B)⪛(⫖↰⪸1586∀⇚≩⫖↰⪸8B0))⪮%⊝((↩(≤/⫖↰⪸10A6))⩚⊴⇥((⫖↰⪸2396+⫖↰⪸2734)%(⨰⫟⨤⫖↰⪸1017)))=NaN","reverse_text":"NaN=(⨞⊢(⫖↰⪸721⨪↰⇹⫖↰⪸381B)⪛(⫖↰⪸1586∀⇚≩⫖↰⪸8B0))⪮%⊝((↩(≤/⫖↰⪸10A6))⩚⊴⇥((⫖↰⪸2396+⫖↰⪸2734)%(⨰⫟⨤⫖↰⪸1017)))","cot":[{"info":"⫖↰⪸721⨪↰⇹⫖↰⪸381B=⫖↰⪸721","layer":3},{"info":"⫖↰⪸1586∀⇚≩⫖↰⪸8B0=NaN","layer":3},{"info":"⫖↰⪸721⪛NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"≤/⫖↰⪸10A6=⫖↰⪸-962","layer":3},{"info":"↩⫖↰⪸-962=⫖↰⪸4830","layer":2},{"info":"⫖↰⪸2396+⫖↰⪸2734=⫖↰⪸4B0A","layer":3},{"info":"⨰⫟⨤⫖↰⪸1017=NaN","layer":3},{"info":"⫖↰⪸4B0A%NaN=NaN","layer":2},{"info":"⫖↰⪸4830⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"((⨰⫟⨤$1784$)⩚⊴⇥$1191$⩷∴$1218$⇼⇔∾(↥($7720$⊭↱$1335$)))⫸⊐(($2098$%$1426$)⨐⩸⫘(↽≂$5750$)⇼⇔∾($4126$⨳⩥⨓$2201$)⋓($8986$⨸⪁$4528$))","expression":"((⨰⫟⨤⫖↰⪸1048)⩚⊴⇥⫖↰⪸833⩷∴⫖↰⪸856⇼⇔∾(↥(⫖↰⪸4574⊭↱⫖↰⪸933)))⫸⊐((⫖↰⪸126A%⫖↰⪸9AA)⨐⩸⫘(↽≂⫖↰⪸33B2)⇼⇔∾(⫖↰⪸247A⨳⩥⨓⫖↰⪸1335)⋓(⫖↰⪸524A⨸⪁⫖↰⪸2754))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6593,"operation_count":14,"complexity_ratio":470.92857142857144,"tree":{"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":1191,"base":12},"right_expr":{"type":"numeric_atoms","value":1218,"base":12}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7720,"base":12},"right_expr":{"type":"numeric_atoms","value":1335,"base":12}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2098,"base":12},"right_expr":{"type":"numeric_atoms","value":1426,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5750,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4126,"base":12},"right_expr":{"type":"numeric_atoms","value":2201,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8986,"base":12},"right_expr":{"type":"numeric_atoms","value":4528,"base":12}}}}},"used_operators":["mqXw5SEYmG","tifHPKVTfV","NTOWxs364D","Tw270M8GLb","9FxExcQeMw","A8NUZmVepG","COABgblf1C","fu6greOZ01","k8jYdgA6NY","u6S6b8DprG","T2fj7uvVaJ","nCS4ZIUYfx","g55IO6H4Gj"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1218, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-86","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-86, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=7720","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=7720, right_input=1335, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12765","layer":3},{"info":"compute unary expreesion, input=-12765, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=36, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2098","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=1426, op_id = k8jYdgA6NY binary_op_definition= 'None', output=672","layer":3},{"info":"number node, value=5750","layer":4},{"info":"compute unary expreesion, input=5750, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11500","layer":3},{"info":"compute binary expreesion, left_input=672, right_input=-11500, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4126","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=2201, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1925","layer":3},{"info":"number node, value=8986","layer":4},{"info":"number node, value=4528","layer":4},{"info":"compute binary expreesion, left_input=8986, right_input=4528, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=27028","layer":3},{"info":"compute binary expreesion, left_input=-1925, right_input=27028, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨰⫟⨤⫖↰⪸1048)⩚⊴⇥⫖↰⪸833⩷∴⫖↰⪸856⇼⇔∾(↥(⫖↰⪸4574⊭↱⫖↰⪸933)))⫸⊐((⫖↰⪸126A%⫖↰⪸9AA)⨐⩸⫘(↽≂⫖↰⪸33B2)⇼⇔∾(⫖↰⪸247A⨳⩥⨓⫖↰⪸1335)⋓(⫖↰⪸524A⨸⪁⫖↰⪸2754))=NaN","reverse_text":"NaN=((⨰⫟⨤⫖↰⪸1048)⩚⊴⇥⫖↰⪸833⩷∴⫖↰⪸856⇼⇔∾(↥(⫖↰⪸4574⊭↱⫖↰⪸933)))⫸⊐((⫖↰⪸126A%⫖↰⪸9AA)⨐⩸⫘(↽≂⫖↰⪸33B2)⇼⇔∾(⫖↰⪸247A⨳⩥⨓⫖↰⪸1335)⋓(⫖↰⪸524A⨸⪁⫖↰⪸2754))","cot":[{"info":"⨰⫟⨤⫖↰⪸1048=NaN","layer":3},{"info":"⫖↰⪸833⩷∴⫖↰⪸856=⫖↰⪸-72","layer":3},{"info":"NaN⩚⊴⇥⫖↰⪸-72=NaN","layer":2},{"info":"⫖↰⪸4574⊭↱⫖↰⪸933=⫖↰⪸-7479","layer":3},{"info":"↥⫖↰⪸-7479=⫖↰⪸30","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸30=NaN","layer":1},{"info":"⫖↰⪸126A%⫖↰⪸9AA=⫖↰⪸480","layer":3},{"info":"↽≂⫖↰⪸33B2=⫖↰⪸-67A4","layer":3},{"info":"⫖↰⪸480⨐⩸⫘⫖↰⪸-67A4=NaN","layer":2},{"info":"⫖↰⪸247A⨳⩥⨓⫖↰⪸1335=⫖↰⪸-1145","layer":3},{"info":"⫖↰⪸524A⨸⪁⫖↰⪸2754=⫖↰⪸13784","layer":3},{"info":"⫖↰⪸-1145⋓⫖↰⪸13784=⫖↰⪸0","layer":2},{"info":"NaN⇼⇔∾⫖↰⪸0=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"⨰⫟⨤(($2760$⨳⩥⨓$2383$)⨓$1331$≹⇙⪍$1089$⨁⊸⫻)","expression":"⨰⫟⨤((⫖↰⪸1720⨳⩥⨓⫖↰⪸1467)⨓⫖↰⪸92B≹⇙⪍⫖↰⪸769⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41,"operation_count":5,"complexity_ratio":8.2,"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":2760,"base":12},"right_expr":{"type":"numeric_atoms","value":2383,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":1089,"base":12}}}}},"used_operators":["Tw270M8GLb","glklzrTFfD","3ViojmjbAp","nCS4ZIUYfx","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2760","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=2383, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-377","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1089, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-377, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤((⫖↰⪸1720⨳⩥⨓⫖↰⪸1467)⨓⫖↰⪸92B≹⇙⪍⫖↰⪸769⨁⊸⫻)=NaN","reverse_text":"NaN=⨰⫟⨤((⫖↰⪸1720⨳⩥⨓⫖↰⪸1467)⨓⫖↰⪸92B≹⇙⪍⫖↰⪸769⨁⊸⫻)","cot":[{"info":"⫖↰⪸1720⨳⩥⨓⫖↰⪸1467=⫖↰⪸-275","layer":3},{"info":"⫖↰⪸92B≹⇙⪍⫖↰⪸769=NaN","layer":3},{"info":"⫖↰⪸-275⨓NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":957,"expression_no_base_symbol":"((⪝⪂⫅($1252$⊦⊿))⨪↰⇹(($4717$⊠≄⫣)⫸⊐$1804$≧⫂∧$1705$))⨪↰⇹((⪲⇎$4852$)≧⫂∧($3093$⩨$3706$)⫸⊐($1388$⨓$1441$+(≤/$2715$)))","expression":"((⪝⪂⫅(⫖↰⪸884⊦⊿))⨪↰⇹((⫖↰⪸2891⊠≄⫣)⫸⊐⫖↰⪸1064≧⫂∧⫖↰⪸BA1))⨪↰⇹((⪲⇎⫖↰⪸2984)≧⫂∧(⫖↰⪸1959⩨⫖↰⪸218A)⫸⊐(⫖↰⪸978⨓⫖↰⪸A01+(≤/⫖↰⪸16A3)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1129114,"operation_count":14,"complexity_ratio":80651.0,"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":1252,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4717,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1804,"base":12},"right_expr":{"type":"numeric_atoms","value":1705,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4852,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3093,"base":12},"right_expr":{"type":"numeric_atoms","value":3706,"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":1441,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2715,"base":12}}}}},"used_operators":["tmPS8pqC7x","XTarYq4gQB","14qkJME0vr","mqXw5SEYmG","DIvbN7qnHd","Ph9nP6C5qx","XPYlsWDdGa","2DlMacCsIx","W4YGzv6Whe","3ViojmjbAp","eLAdDNolq6"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"⫖↰⪸2322A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3835","layer":3},{"info":"compute unary expreesion, input=-3835, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=563745","layer":2},{"info":"number node, value=4717","layer":4},{"info":"compute unary expreesion, input=4717, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1804","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=1705, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1232","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1232, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=563745, 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=563745","layer":1},{"info":"number node, value=4852","layer":4},{"info":"compute unary expreesion, input=4852, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9704","layer":3},{"info":"number node, value=3093","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=3706, 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=9704, right_input=-3, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-476","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=1441, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1444","layer":3},{"info":"number node, value=2715","layer":4},{"info":"compute unary expreesion, input=2715, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2231","layer":3},{"info":"compute binary expreesion, left_input=-1444, right_input=-2231, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3675","layer":2},{"info":"compute binary expreesion, left_input=-476, right_input=-3675, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8","layer":1},{"info":"compute binary expreesion, left_input=563745, right_input=8, 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=563745","layer":0}],"base":12,"result_base":12,"text":"((⪝⪂⫅(⫖↰⪸884⊦⊿))⨪↰⇹((⫖↰⪸2891⊠≄⫣)⫸⊐⫖↰⪸1064≧⫂∧⫖↰⪸BA1))⨪↰⇹((⪲⇎⫖↰⪸2984)≧⫂∧(⫖↰⪸1959⩨⫖↰⪸218A)⫸⊐(⫖↰⪸978⨓⫖↰⪸A01+(≤/⫖↰⪸16A3)))=⫖↰⪸2322A9","reverse_text":"⫖↰⪸2322A9=((⪝⪂⫅(⫖↰⪸884⊦⊿))⨪↰⇹((⫖↰⪸2891⊠≄⫣)⫸⊐⫖↰⪸1064≧⫂∧⫖↰⪸BA1))⨪↰⇹((⪲⇎⫖↰⪸2984)≧⫂∧(⫖↰⪸1959⩨⫖↰⪸218A)⫸⊐(⫖↰⪸978⨓⫖↰⪸A01+(≤/⫖↰⪸16A3)))","cot":[{"info":"⫖↰⪸884⊦⊿=⫖↰⪸-2277","layer":3},{"info":"⪝⪂⫅⫖↰⪸-2277=⫖↰⪸2322A9","layer":2},{"info":"⫖↰⪸2891⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1064≧⫂∧⫖↰⪸BA1=⫖↰⪸868","layer":3},{"info":"⫖↰⪸0⫸⊐⫖↰⪸868=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2322A9⨪↰⇹⫖↰⪸0=⫖↰⪸2322A9","layer":1},{"info":"⪲⇎⫖↰⪸2984=⫖↰⪸5748","layer":3},{"info":"⫖↰⪸1959⩨⫖↰⪸218A=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸5748≧⫂∧⫖↰⪸-3=⫖↰⪸-338","layer":2},{"info":"⫖↰⪸978⨓⫖↰⪸A01=⫖↰⪸-A04","layer":3},{"info":"≤/⫖↰⪸16A3=⫖↰⪸-135B","layer":3},{"info":"⫖↰⪸-A04+⫖↰⪸-135B=⫖↰⪸-2163","layer":2},{"info":"⫖↰⪸-338⫸⊐⫖↰⪸-2163=⫖↰⪸8","layer":1},{"info":"⫖↰⪸2322A9⨪↰⇹⫖↰⪸8=⫖↰⪸2322A9","layer":0}]}
{"id":958,"expression_no_base_symbol":"((↥($3275$⪄$2879$))⪄(($5893$∧)⫡⨏(↩$1452$)))⇋≉","expression":"((↥(⫖↰⪸1A8B⪄⫖↰⪸17BB))⪄((⫖↰⪸34B1∧)⫡⨏(↩⫖↰⪸A10)))⇋≉","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9851,"operation_count":7,"complexity_ratio":1407.2857142857142,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3275,"base":12},"right_expr":{"type":"numeric_atoms","value":2879,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5893,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1452,"base":12}}}}},"used_operators":["XIabStNQrY","SUmda5xLS4","A8NUZmVepG","QMFrweE19q","z63VuFQld9","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","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=3275","layer":4},{"info":"number node, value=2879","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=2879, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-492305","layer":3},{"info":"compute unary expreesion, input=-492305, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":2},{"info":"number node, value=5893","layer":4},{"info":"compute unary expreesion, input=5893, 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=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8836","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8836, 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=49, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↥(⫖↰⪸1A8B⪄⫖↰⪸17BB))⪄((⫖↰⪸34B1∧)⫡⨏(↩⫖↰⪸A10)))⇋≉=NaN","reverse_text":"NaN=((↥(⫖↰⪸1A8B⪄⫖↰⪸17BB))⪄((⫖↰⪸34B1∧)⫡⨏(↩⫖↰⪸A10)))⇋≉","cot":[{"info":"⫖↰⪸1A8B⪄⫖↰⪸17BB=⫖↰⪸-1B8A95","layer":3},{"info":"↥⫖↰⪸-1B8A95=⫖↰⪸41","layer":2},{"info":"⫖↰⪸34B1∧=NaN","layer":3},{"info":"↩⫖↰⪸A10=⫖↰⪸-5144","layer":3},{"info":"NaN⫡⨏⫖↰⪸-5144=NaN","layer":2},{"info":"⫖↰⪸41⪄NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"(($2214$⨵⪆$1044$)⊭↱$2852$⨓$3403$)⪢(($1387$/$3824$)≣⋋)⨸⪁((⋗⩬⋾($4832$⩤))*(⨑⩽⪐($1263$⊭∹↮)))","expression":"((⫖↰⪸1346⨵⪆⫖↰⪸730)⊭↱⫖↰⪸1798⨓⫖↰⪸1B77)⪢((⫖↰⪸977/⫖↰⪸2268)≣⋋)⨸⪁((⋗⩬⋾(⫖↰⪸2968⩤))*(⨑⩽⪐(⫖↰⪸893⊭∹↮)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5692,"operation_count":12,"complexity_ratio":474.3333333333333,"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":2214,"base":12},"right_expr":{"type":"numeric_atoms","value":1044,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2852,"base":12},"right_expr":{"type":"numeric_atoms","value":3403,"base":12}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1387,"base":12},"right_expr":{"type":"numeric_atoms","value":3824,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4832,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1263,"base":12}}}}},"used_operators":["g55IO6H4Gj","dWAJyo7jo9","COABgblf1C","2DQ55sFlQl","3ViojmjbAp","Tcnh7f0tEr","XhwjNDsVaA","9HNa5Wba9A","DpFCA1CohY","Z2TMIBDE3Q","AF7qkfDlqP","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-19A60400","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2214","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=1044, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2852","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=3403, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3406","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3406, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7127","layer":2},{"info":"number node, value=1387","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=3824, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-7127, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=4832","layer":4},{"info":"compute unary expreesion, input=4832, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4832","layer":3},{"info":"compute unary expreesion, input=-4832, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=14496","layer":2},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2526","layer":3},{"info":"compute unary expreesion, input=2526, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2253","layer":2},{"info":"compute binary expreesion, left_input=14496, right_input=-2253, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-32659488","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-32659488, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-65318976","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1346⨵⪆⫖↰⪸730)⊭↱⫖↰⪸1798⨓⫖↰⪸1B77)⪢((⫖↰⪸977/⫖↰⪸2268)≣⋋)⨸⪁((⋗⩬⋾(⫖↰⪸2968⩤))*(⨑⩽⪐(⫖↰⪸893⊭∹↮)))=⫖↰⪸-19A60400","reverse_text":"⫖↰⪸-19A60400=((⫖↰⪸1346⨵⪆⫖↰⪸730)⊭↱⫖↰⪸1798⨓⫖↰⪸1B77)⪢((⫖↰⪸977/⫖↰⪸2268)≣⋋)⨸⪁((⋗⩬⋾(⫖↰⪸2968⩤))*(⨑⩽⪐(⫖↰⪸893⊭∹↮)))","cot":[{"info":"⫖↰⪸1346⨵⪆⫖↰⪸730=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1798⨓⫖↰⪸1B77=⫖↰⪸-1B7A","layer":3},{"info":"⫖↰⪸114⊭↱⫖↰⪸-1B7A=⫖↰⪸-415B","layer":2},{"info":"⫖↰⪸977/⫖↰⪸2268=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≣⋋=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-415B⪢⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2968⩤=⫖↰⪸-2968","layer":3},{"info":"⋗⩬⋾⫖↰⪸-2968=⫖↰⪸8480","layer":2},{"info":"⫖↰⪸893⊭∹↮=⫖↰⪸1566","layer":3},{"info":"⨑⩽⪐⫖↰⪸1566=⫖↰⪸-1379","layer":2},{"info":"⫖↰⪸8480*⫖↰⪸-1379=⫖↰⪸-AB30200","layer":1},{"info":"⫖↰⪸0⨸⪁⫖↰⪸-AB30200=⫖↰⪸-19A60400","layer":0}]}
{"id":960,"expression_no_base_symbol":"($8803$⊠≄⫣)≧⫂∧($4373$↺$1475$)⋥≓≎($1956$⇼⇔∾$3254$%$4248$⨳⩥⨓$3844$)⩨(≤/($7264$⋳⪒$2359$)∑⇟⊟($3542$∧))","expression":"(⫖↰⪸5117⊠≄⫣)≧⫂∧(⫖↰⪸2645↺⫖↰⪸A2B)⋥≓≎(⫖↰⪸1170⇼⇔∾⫖↰⪸1A72%⫖↰⪸2560⨳⩥⨓⫖↰⪸2284)⩨(≤/(⫖↰⪸4254⋳⪒⫖↰⪸1447)∑⇟⊟(⫖↰⪸2072∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37,"operation_count":12,"complexity_ratio":3.0833333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":8803,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4373,"base":12},"right_expr":{"type":"numeric_atoms","value":1475,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1956,"base":12},"right_expr":{"type":"numeric_atoms","value":3254,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4248,"base":12},"right_expr":{"type":"numeric_atoms","value":3844,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7264,"base":12},"right_expr":{"type":"numeric_atoms","value":2359,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3542,"base":12}}}}},"used_operators":["2DlMacCsIx","Qy55tPpLXF","Ph9nP6C5qx","DIvbN7qnHd","7j4O788W3g","k8jYdgA6NY","tifHPKVTfV","nCS4ZIUYfx","eLAdDNolq6","U7g4x0WXJJ","12rbrZMWeM","z63VuFQld9"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8803","layer":4},{"info":"compute unary expreesion, input=8803, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4373","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=4373, right_input=1475, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1475","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1475, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1002","layer":2},{"info":"number node, value=1956","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=3254, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1298","layer":3},{"info":"number node, value=4248","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=3844, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-404","layer":3},{"info":"compute binary expreesion, left_input=1298, right_input=-404, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-318","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=-318, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1605","layer":1},{"info":"number node, value=7264","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=2359, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11882","layer":3},{"info":"number node, value=3542","layer":4},{"info":"compute unary expreesion, input=3542, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11882, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1605, right_input=nan, 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":"(⫖↰⪸5117⊠≄⫣)≧⫂∧(⫖↰⪸2645↺⫖↰⪸A2B)⋥≓≎(⫖↰⪸1170⇼⇔∾⫖↰⪸1A72%⫖↰⪸2560⨳⩥⨓⫖↰⪸2284)⩨(≤/(⫖↰⪸4254⋳⪒⫖↰⪸1447)∑⇟⊟(⫖↰⪸2072∧))=NaN","reverse_text":"NaN=(⫖↰⪸5117⊠≄⫣)≧⫂∧(⫖↰⪸2645↺⫖↰⪸A2B)⋥≓≎(⫖↰⪸1170⇼⇔∾⫖↰⪸1A72%⫖↰⪸2560⨳⩥⨓⫖↰⪸2284)⩨(≤/(⫖↰⪸4254⋳⪒⫖↰⪸1447)∑⇟⊟(⫖↰⪸2072∧))","cot":[{"info":"⫖↰⪸5117⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2645↺⫖↰⪸A2B=⫖↰⪸A2B","layer":3},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸A2B=⫖↰⪸6B6","layer":2},{"info":"⫖↰⪸1170⇼⇔∾⫖↰⪸1A72=⫖↰⪸902","layer":3},{"info":"⫖↰⪸2560⨳⩥⨓⫖↰⪸2284=⫖↰⪸-298","layer":3},{"info":"⫖↰⪸902%⫖↰⪸-298=⫖↰⪸-226","layer":2},{"info":"⫖↰⪸6B6⋥≓≎⫖↰⪸-226=⫖↰⪸-B19","layer":1},{"info":"⫖↰⪸4254⋳⪒⫖↰⪸1447=⫖↰⪸6A62","layer":3},{"info":"⫖↰⪸2072∧=NaN","layer":3},{"info":"⫖↰⪸6A62∑⇟⊟NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⫖↰⪸-B19⩨NaN=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"((($1825$∸)⊭∹↮)⇼⇔∾($2299$↛⩡⫤)≹⇙⪍(⨑⩽⪐$1225$))≹⇙⪍(($5970$⊭↱$1297$)⨰($6286$⫥∨⫟$5496$)⨽((⩦⩻⨪$2300$)↺($2312$-$1771$)))","expression":"(((⫖↰⪸1081∸)⊭∹↮)⇼⇔∾(⫖↰⪸13B7↛⩡⫤)≹⇙⪍(⨑⩽⪐⫖↰⪸861))≹⇙⪍((⫖↰⪸3556⊭↱⫖↰⪸901)⨰(⫖↰⪸377A⫥∨⫟⫖↰⪸3220)⨽((⩦⩻⨪⫖↰⪸13B8)↺(⫖↰⪸1408-⫖↰⪸1037)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":961416,"operation_count":14,"complexity_ratio":68672.57142857143,"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":1825,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2299,"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":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5970,"base":12},"right_expr":{"type":"numeric_atoms","value":1297,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6286,"base":12},"right_expr":{"type":"numeric_atoms","value":5496,"base":12}}},"right_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":2312,"base":12},"right_expr":{"type":"numeric_atoms","value":1771,"base":12}}}}},"used_operators":["AHs5Up7iyr","tifHPKVTfV","xNBdhnnwKq","o20kRiQErp","FU0Cs4j7VP","AF7qkfDlqP","8HhzD0ZcuI","eewbuw0ToL","COABgblf1C","KYD54nUTWz","7j4O788W3g","2td37pGCOC","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=177","layer":2},{"info":"number node, value=2299","layer":4},{"info":"compute unary expreesion, input=2299, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-343238","layer":3},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-952","layer":3},{"info":"compute binary expreesion, left_input=-343238, right_input=-952, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=177, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5970","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=5970, right_input=1297, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9341","layer":3},{"info":"number node, value=6286","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=6286, right_input=5496, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9341, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2300","layer":4},{"info":"compute unary expreesion, input=2300, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2300","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=1771, op_id = rysDP5nf3Z binary_op_definition= 'None', output=541","layer":3},{"info":"compute binary expreesion, left_input=2300, right_input=541, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=541","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=541, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"(((⫖↰⪸1081∸)⊭∹↮)⇼⇔∾(⫖↰⪸13B7↛⩡⫤)≹⇙⪍(⨑⩽⪐⫖↰⪸861))≹⇙⪍((⫖↰⪸3556⊭↱⫖↰⪸901)⨰(⫖↰⪸377A⫥∨⫟⫖↰⪸3220)⨽((⩦⩻⨪⫖↰⪸13B8)↺(⫖↰⪸1408-⫖↰⪸1037)))=NaN","reverse_text":"NaN=(((⫖↰⪸1081∸)⊭∹↮)⇼⇔∾(⫖↰⪸13B7↛⩡⫤)≹⇙⪍(⨑⩽⪐⫖↰⪸861))≹⇙⪍((⫖↰⪸3556⊭↱⫖↰⪸901)⨰(⫖↰⪸377A⫥∨⫟⫖↰⪸3220)⨽((⩦⩻⨪⫖↰⪸13B8)↺(⫖↰⪸1408-⫖↰⪸1037)))","cot":[{"info":"⫖↰⪸1081∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸129⊭∹↮=⫖↰⪸129","layer":2},{"info":"⫖↰⪸13B7↛⩡⫤=⫖↰⪸-146772","layer":3},{"info":"⨑⩽⪐⫖↰⪸861=⫖↰⪸-674","layer":3},{"info":"⫖↰⪸-146772≹⇙⪍⫖↰⪸-674=NaN","layer":2},{"info":"⫖↰⪸129⇼⇔∾NaN=NaN","layer":1},{"info":"⫖↰⪸3556⊭↱⫖↰⪸901=⫖↰⪸-54A5","layer":3},{"info":"⫖↰⪸377A⫥∨⫟⫖↰⪸3220=NaN","layer":3},{"info":"⫖↰⪸-54A5⨰NaN=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸13B8=⫖↰⪸13B8","layer":3},{"info":"⫖↰⪸1408-⫖↰⪸1037=⫖↰⪸391","layer":3},{"info":"⫖↰⪸13B8↺⫖↰⪸391=⫖↰⪸391","layer":2},{"info":"NaN⨽⫖↰⪸391=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"(($3958$⫡⨏$1048$)≫≃)+⇶⊼($1198$⨸⪁$3855$*($3262$+$3841$))-(≤/(⪲⇎$3422$))-(⨰⫟⨤$4171$∼$1707$)","expression":"((⫖↰⪸235A⫡⨏⫖↰⪸734)≫≃)+⇶⊼(⫖↰⪸83A⨸⪁⫖↰⪸2293*(⫖↰⪸1A7A+⫖↰⪸2281))-(≤/(⪲⇎⫖↰⪸1B92))-(⨰⫟⨤⫖↰⪸24B7∼⫖↰⪸BA3)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7239,"operation_count":12,"complexity_ratio":603.25,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3958,"base":12},"right_expr":{"type":"numeric_atoms","value":1048,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":3855,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3262,"base":12},"right_expr":{"type":"numeric_atoms","value":3841,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3422,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4171,"base":12},"right_expr":{"type":"numeric_atoms","value":1707,"base":12}}}}},"used_operators":["rysDP5nf3Z","TpPTUOHfaN","X99M06cbEe","QMFrweE19q","9HNa5Wba9A","g55IO6H4Gj","W4YGzv6Whe","eLAdDNolq6","XPYlsWDdGa","Tw270M8GLb","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3958","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=1048, 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=22669","layer":3},{"info":"compute unary expreesion, input=22669, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=46739","layer":2},{"info":"number node, value=1198","layer":4},{"info":"number node, value=3855","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=3855, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10106","layer":3},{"info":"number node, value=3262","layer":4},{"info":"number node, value=3841","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=3841, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7103","layer":3},{"info":"compute binary expreesion, left_input=10106, right_input=7103, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=71782918","layer":2},{"info":"compute binary expreesion, left_input=46739, right_input=71782918, 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=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6844","layer":3},{"info":"compute unary expreesion, input=6844, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6360","layer":2},{"info":"number node, value=4171","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=1707, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6360, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸235A⫡⨏⫖↰⪸734)≫≃)+⇶⊼(⫖↰⪸83A⨸⪁⫖↰⪸2293*(⫖↰⪸1A7A+⫖↰⪸2281))-(≤/(⪲⇎⫖↰⪸1B92))-(⨰⫟⨤⫖↰⪸24B7∼⫖↰⪸BA3)=NaN","reverse_text":"NaN=((⫖↰⪸235A⫡⨏⫖↰⪸734)≫≃)+⇶⊼(⫖↰⪸83A⨸⪁⫖↰⪸2293*(⫖↰⪸1A7A+⫖↰⪸2281))-(≤/(⪲⇎⫖↰⪸1B92))-(⨰⫟⨤⫖↰⪸24B7∼⫖↰⪸BA3)","cot":[{"info":"⫖↰⪸235A⫡⨏⫖↰⪸734=⫖↰⪸11151","layer":3},{"info":"⫖↰⪸11151≫≃=⫖↰⪸2306B","layer":2},{"info":"⫖↰⪸83A⨸⪁⫖↰⪸2293=⫖↰⪸5A22","layer":3},{"info":"⫖↰⪸1A7A+⫖↰⪸2281=⫖↰⪸413B","layer":3},{"info":"⫖↰⪸5A22*⫖↰⪸413B=⫖↰⪸2005905A","layer":2},{"info":"⫖↰⪸2306B+⇶⊼⫖↰⪸2005905A=NaN","layer":1},{"info":"⪲⇎⫖↰⪸1B92=⫖↰⪸3B64","layer":3},{"info":"≤/⫖↰⪸3B64=⫖↰⪸-3820","layer":2},{"info":"⫖↰⪸24B7∼⫖↰⪸BA3=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⫖↰⪸-3820-NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($3882$⫌⩹⨱)⨵⪆$1098$↙$2844$)⨓(≤/(↥$1533$))⋥≓≎((↥$1653$⪮%⊝$4875$)⪄($1434$⩨$6956$)⨰($1100$⪒$4298$))","expression":"((⫖↰⪸22B6⫌⩹⨱)⨵⪆⫖↰⪸776↙⫖↰⪸1790)⨓(≤/(↥⫖↰⪸A79))⋥≓≎((↥⫖↰⪸B59⪮%⊝⫖↰⪸29A3)⪄(⫖↰⪸9B6⩨⫖↰⪸4038)⨰(⫖↰⪸778⪒⫖↰⪸25A2))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3495,"operation_count":13,"complexity_ratio":268.84615384615387,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3882,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1098,"base":12},"right_expr":{"type":"numeric_atoms","value":2844,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1533,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1653,"base":12},"right_expr":{"type":"numeric_atoms","value":4875,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1434,"base":12},"right_expr":{"type":"numeric_atoms","value":6956,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1100,"base":12},"right_expr":{"type":"numeric_atoms","value":4298,"base":12}}}}},"used_operators":["Qy55tPpLXF","3ViojmjbAp","2DQ55sFlQl","EBcxylXtPf","yyfyN0ffXY","eLAdDNolq6","A8NUZmVepG","SUmda5xLS4","IWmyXbctLI","eewbuw0ToL","2DlMacCsIx","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3882","layer":4},{"info":"compute unary expreesion, input=3882, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9165","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=2844, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8532","layer":3},{"info":"compute binary expreesion, left_input=9165, right_input=-8532, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=481","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=481, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-484","layer":1},{"info":"number node, value=1653","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=4875, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3622","layer":3},{"info":"compute unary expreesion, input=3622, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"number node, value=1434","layer":4},{"info":"number node, value=6956","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=6956, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=4298, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5398","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=-5398, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5396","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=5396, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-17821","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=-17821, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸22B6⫌⩹⨱)⨵⪆⫖↰⪸776↙⫖↰⪸1790)⨓(≤/(↥⫖↰⪸A79))⋥≓≎((↥⫖↰⪸B59⪮%⊝⫖↰⪸29A3)⪄(⫖↰⪸9B6⩨⫖↰⪸4038)⨰(⫖↰⪸778⪒⫖↰⪸25A2))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸22B6⫌⩹⨱)⨵⪆⫖↰⪸776↙⫖↰⪸1790)⨓(≤/(↥⫖↰⪸A79))⋥≓≎((↥⫖↰⪸B59⪮%⊝⫖↰⪸29A3)⪄(⫖↰⪸9B6⩨⫖↰⪸4038)⨰(⫖↰⪸778⪒⫖↰⪸25A2))","cot":[{"info":"⫖↰⪸22B6⫌⩹⨱=⫖↰⪸5379","layer":3},{"info":"⫖↰⪸776↙⫖↰⪸1790=⫖↰⪸-4B30","layer":3},{"info":"⫖↰⪸5379⨵⪆⫖↰⪸-4B30=⫖↰⪸114","layer":2},{"info":"↥⫖↰⪸A79=⫖↰⪸3","layer":3},{"info":"≤/⫖↰⪸3=⫖↰⪸341","layer":2},{"info":"⫖↰⪸114⨓⫖↰⪸341=⫖↰⪸-344","layer":1},{"info":"⫖↰⪸B59⪮%⊝⫖↰⪸29A3=⫖↰⪸211A","layer":3},{"info":"↥⫖↰⪸211A=⫖↰⪸1","layer":2},{"info":"⫖↰⪸9B6⩨⫖↰⪸4038=⫖↰⪸-10","layer":3},{"info":"⫖↰⪸778⪒⫖↰⪸25A2=⫖↰⪸-315A","layer":3},{"info":"⫖↰⪸-10⨰⫖↰⪸-315A=⫖↰⪸3158","layer":2},{"info":"⫖↰⪸1⪄⫖↰⪸3158=⫖↰⪸-A391","layer":1},{"info":"⫖↰⪸-344⋥≓≎⫖↰⪸-A391=⫖↰⪸57","layer":0}]}
{"id":964,"expression_no_base_symbol":"((+⊝⨔(⨰⫟⨤$4039$))⨰((-$2242$)⪨≂$1678$-$1080$))⪮%⊝(($2713$≎⊠⪸$5248$)⨪↰⇹$2579$⪮%⊝$4215$⨸⪁(($8528$≦≮≮)*($3670$∧)))","expression":"((+⊝⨔(⨰⫟⨤⫖↰⪸2407))⨰((-⫖↰⪸136A)⪨≂⫖↰⪸B7A-⫖↰⪸760))⪮%⊝((⫖↰⪸16A1≎⊠⪸⫖↰⪸3054)⨪↰⇹⫖↰⪸15AB⪮%⊝⫖↰⪸2533⨸⪁((⫖↰⪸4B28≦≮≮)*(⫖↰⪸215A∧)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":717844,"operation_count":14,"complexity_ratio":51274.57142857143,"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":4039,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2242,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1678,"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":2713,"base":12},"right_expr":{"type":"numeric_atoms","value":5248,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2579,"base":12},"right_expr":{"type":"numeric_atoms","value":4215,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":8528,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3670,"base":12}}}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","DhbWaqg5eL","Tw270M8GLb","sdazOOVcIp","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","tmPS8pqC7x","bJkvcejdHO","9HNa5Wba9A","D4vGDi5EA2","z63VuFQld9"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4039","layer":4},{"info":"compute unary expreesion, input=4039, 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 = 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=2242","layer":4},{"info":"compute unary expreesion, input=2242, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2242","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=1080, op_id = rysDP5nf3Z binary_op_definition= 'None', output=598","layer":3},{"info":"compute binary expreesion, left_input=-2242, right_input=598, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5578","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-5578, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7110","layer":1},{"info":"number node, value=2713","layer":4},{"info":"number node, value=5248","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=5248, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=702194","layer":3},{"info":"number node, value=2579","layer":4},{"info":"number node, value=4215","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=4215, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5474","layer":3},{"info":"compute binary expreesion, left_input=702194, right_input=5474, 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=702194","layer":2},{"info":"number node, value=8528","layer":4},{"info":"compute unary expreesion, input=8528, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-25584","layer":3},{"info":"number node, value=3670","layer":4},{"info":"compute unary expreesion, input=3670, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-25584, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=702194, 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=7110, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((+⊝⨔(⨰⫟⨤⫖↰⪸2407))⨰((-⫖↰⪸136A)⪨≂⫖↰⪸B7A-⫖↰⪸760))⪮%⊝((⫖↰⪸16A1≎⊠⪸⫖↰⪸3054)⨪↰⇹⫖↰⪸15AB⪮%⊝⫖↰⪸2533⨸⪁((⫖↰⪸4B28≦≮≮)*(⫖↰⪸215A∧)))=NaN","reverse_text":"NaN=((+⊝⨔(⨰⫟⨤⫖↰⪸2407))⨰((-⫖↰⪸136A)⪨≂⫖↰⪸B7A-⫖↰⪸760))⪮%⊝((⫖↰⪸16A1≎⊠⪸⫖↰⪸3054)⨪↰⇹⫖↰⪸15AB⪮%⊝⫖↰⪸2533⨸⪁((⫖↰⪸4B28≦≮≮)*(⫖↰⪸215A∧)))","cot":[{"info":"⨰⫟⨤⫖↰⪸2407=NaN","layer":3},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":2},{"info":"-⫖↰⪸136A=⫖↰⪸-136A","layer":3},{"info":"⫖↰⪸B7A-⫖↰⪸760=⫖↰⪸41A","layer":3},{"info":"⫖↰⪸-136A⪨≂⫖↰⪸41A=⫖↰⪸-328A","layer":2},{"info":"⫖↰⪸A6A⨰⫖↰⪸-328A=⫖↰⪸4146","layer":1},{"info":"⫖↰⪸16A1≎⊠⪸⫖↰⪸3054=⫖↰⪸29A442","layer":3},{"info":"⫖↰⪸15AB⪮%⊝⫖↰⪸2533=⫖↰⪸3202","layer":3},{"info":"⫖↰⪸29A442⨪↰⇹⫖↰⪸3202=⫖↰⪸29A442","layer":2},{"info":"⫖↰⪸4B28≦≮≮=⫖↰⪸-12980","layer":3},{"info":"⫖↰⪸215A∧=NaN","layer":3},{"info":"⫖↰⪸-12980*NaN=NaN","layer":2},{"info":"⫖↰⪸29A442⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸4146⪮%⊝NaN=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"(($2166$⨁⊸⫻)⪒$5491$%$8275$)⨎((⨰⫟⨤$2028$)⨸⪁(⫛⫱⨽$2413$))↪⪝","expression":"((⫖↰⪸1306⨁⊸⫻)⪒⫖↰⪸3217%⫖↰⪸4957)⨎((⨰⫟⨤⫖↰⪸1210)⨸⪁(⫛⫱⨽⫖↰⪸1491))↪⪝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8708,"operation_count":8,"complexity_ratio":1088.5,"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":2166,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5491,"base":12},"right_expr":{"type":"numeric_atoms","value":8275,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2028,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2413,"base":12}}}}},"used_operators":["l07mrZUIn9","rJVOvQCfKK","f6k1SAg4EE","glklzrTFfD","k8jYdgA6NY","g55IO6H4Gj","Tw270M8GLb","DlLNRPXxWL"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC"],"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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2166","layer":3},{"info":"number node, value=5491","layer":4},{"info":"number node, value=8275","layer":4},{"info":"compute binary expreesion, left_input=5491, right_input=8275, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5491","layer":3},{"info":"compute binary expreesion, left_input=2166, right_input=5491, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7657","layer":2},{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2413","layer":4},{"info":"compute unary expreesion, input=2413, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7657, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1306⨁⊸⫻)⪒⫖↰⪸3217%⫖↰⪸4957)⨎((⨰⫟⨤⫖↰⪸1210)⨸⪁(⫛⫱⨽⫖↰⪸1491))↪⪝=NaN","reverse_text":"NaN=((⫖↰⪸1306⨁⊸⫻)⪒⫖↰⪸3217%⫖↰⪸4957)⨎((⨰⫟⨤⫖↰⪸1210)⨸⪁(⫛⫱⨽⫖↰⪸1491))↪⪝","cot":[{"info":"⫖↰⪸1306⨁⊸⫻=⫖↰⪸1306","layer":3},{"info":"⫖↰⪸3217%⫖↰⪸4957=⫖↰⪸3217","layer":3},{"info":"⫖↰⪸1306⪒⫖↰⪸3217=⫖↰⪸-4521","layer":2},{"info":"⨰⫟⨤⫖↰⪸1210=NaN","layer":3},{"info":"⫛⫱⨽⫖↰⪸1491=⫖↰⪸0","layer":3},{"info":"NaN⨸⪁⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-4521⨎NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"((↩$3739$⨳⩥⨓$1090$)⨵⪆(∂$2083$)⨓($6510$⪄$4173$))∀⇚≩((⫓⪴$1902$∀⇚≩$1684$)*(($1340$%$3579$)≋⫹))","expression":"((↩⫖↰⪸21B7⨳⩥⨓⫖↰⪸76A)⨵⪆(∂⫖↰⪸1257)⨓(⫖↰⪸3926⪄⫖↰⪸24B9))∀⇚≩((⫓⪴⫖↰⪸1126∀⇚≩⫖↰⪸B84)*((⫖↰⪸938%⫖↰⪸20A3)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":990827,"operation_count":12,"complexity_ratio":82568.91666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3739,"base":12},"right_expr":{"type":"numeric_atoms","value":1090,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2083,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6510,"base":12},"right_expr":{"type":"numeric_atoms","value":4173,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1902,"base":12},"right_expr":{"type":"numeric_atoms","value":1684,"base":12}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1340,"base":12},"right_expr":{"type":"numeric_atoms","value":3579,"base":12}}}}},"used_operators":["LRNGc0VcxI","2DQ55sFlQl","jLgFTUHLKL","nCS4ZIUYfx","3ViojmjbAp","Uaa54Peajs","SUmda5xLS4","9HNa5Wba9A","eLxqMNBOBk","N41Kp7NANJ","k8jYdgA6NY"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3739","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=3739, right_input=1090, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2649","layer":3},{"info":"compute unary expreesion, input=-2649, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=13216","layer":2},{"info":"number node, value=2083","layer":4},{"info":"compute unary expreesion, input=2083, 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=6510","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=6510, right_input=4173, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-976261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-976261, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-976264","layer":2},{"info":"compute binary expreesion, left_input=13216, right_input=-976264, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1902","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=1684, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=3579, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1340","layer":3},{"info":"compute unary expreesion, input=1340, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2680","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2680, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↩⫖↰⪸21B7⨳⩥⨓⫖↰⪸76A)⨵⪆(∂⫖↰⪸1257)⨓(⫖↰⪸3926⪄⫖↰⪸24B9))∀⇚≩((⫓⪴⫖↰⪸1126∀⇚≩⫖↰⪸B84)*((⫖↰⪸938%⫖↰⪸20A3)≋⫹))=NaN","reverse_text":"NaN=((↩⫖↰⪸21B7⨳⩥⨓⫖↰⪸76A)⨵⪆(∂⫖↰⪸1257)⨓(⫖↰⪸3926⪄⫖↰⪸24B9))∀⇚≩((⫓⪴⫖↰⪸1126∀⇚≩⫖↰⪸B84)*((⫖↰⪸938%⫖↰⪸20A3)≋⫹))","cot":[{"info":"⫖↰⪸21B7⨳⩥⨓⫖↰⪸76A=⫖↰⪸-1649","layer":3},{"info":"↩⫖↰⪸-1649=⫖↰⪸7794","layer":2},{"info":"∂⫖↰⪸1257=NaN","layer":3},{"info":"⫖↰⪸3926⪄⫖↰⪸24B9=⫖↰⪸-3B0B71","layer":3},{"info":"NaN⨓⫖↰⪸-3B0B71=⫖↰⪸-3B0B74","layer":2},{"info":"⫖↰⪸7794⨵⪆⫖↰⪸-3B0B74=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1126∀⇚≩⫖↰⪸B84=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫖↰⪸938%⫖↰⪸20A3=⫖↰⪸938","layer":3},{"info":"⫖↰⪸938≋⫹=⫖↰⪸-1674","layer":2},{"info":"NaN*⫖↰⪸-1674=NaN","layer":1},{"info":"⫖↰⪸114∀⇚≩NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"($1161$⨓$2096$⫌⩹⨱)≎⊠⪸(≦∁($1144$↪⪝))⪄((↣≠⋷($1227$⨽$1207$))⊉≛↸(⨰⫟⨤(⪝⪂⫅$5448$)))","expression":"(⫖↰⪸809⨓⫖↰⪸1268⫌⩹⨱)≎⊠⪸(≦∁(⫖↰⪸7B4↪⪝))⪄((↣≠⋷(⫖↰⪸863⨽⫖↰⪸847))⊉≛↸(⨰⫟⨤(⪝⪂⫅⫖↰⪸31A0)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3208882,"operation_count":11,"complexity_ratio":291716.54545454547,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1161,"base":12},"right_expr":{"type":"numeric_atoms","value":2096,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1144,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1227,"base":12},"right_expr":{"type":"numeric_atoms","value":1207,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5448,"base":12}}}}},"used_operators":["SUmda5xLS4","bJkvcejdHO","EBcxylXtPf","3ViojmjbAp","9ICcGScMcE","l07mrZUIn9","DZ8iAZOCBD","Asc51vEJeQ","8HhzD0ZcuI","Tw270M8GLb","XTarYq4gQB"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=2096, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2099","layer":3},{"info":"compute unary expreesion, input=-2099, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-2797","layer":2},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=69992208","layer":3},{"info":"compute unary expreesion, input=69992208, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=69992208","layer":2},{"info":"compute binary expreesion, left_input=-2797, right_input=69992208, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=724423","layer":1},{"info":"number node, value=1227","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1207, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4518894","layer":3},{"info":"compute unary expreesion, input=-4518894, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=5448","layer":4},{"info":"compute unary expreesion, input=5448, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-800856","layer":3},{"info":"compute unary expreesion, input=-800856, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=724423, 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":"(⫖↰⪸809⨓⫖↰⪸1268⫌⩹⨱)≎⊠⪸(≦∁(⫖↰⪸7B4↪⪝))⪄((↣≠⋷(⫖↰⪸863⨽⫖↰⪸847))⊉≛↸(⨰⫟⨤(⪝⪂⫅⫖↰⪸31A0)))=NaN","reverse_text":"NaN=(⫖↰⪸809⨓⫖↰⪸1268⫌⩹⨱)≎⊠⪸(≦∁(⫖↰⪸7B4↪⪝))⪄((↣≠⋷(⫖↰⪸863⨽⫖↰⪸847))⊉≛↸(⨰⫟⨤(⪝⪂⫅⫖↰⪸31A0)))","cot":[{"info":"⫖↰⪸809⨓⫖↰⪸1268=⫖↰⪸-126B","layer":3},{"info":"⫖↰⪸-126B⫌⩹⨱=⫖↰⪸-1751","layer":2},{"info":"⫖↰⪸7B4↪⪝=⫖↰⪸1B534900","layer":3},{"info":"≦∁⫖↰⪸1B534900=⫖↰⪸1B534900","layer":2},{"info":"⫖↰⪸-1751≎⊠⪸⫖↰⪸1B534900=⫖↰⪸2AB287","layer":1},{"info":"⫖↰⪸863⨽⫖↰⪸847=⫖↰⪸-161B126","layer":3},{"info":"↣≠⋷⫖↰⪸-161B126=NaN","layer":2},{"info":"⪝⪂⫅⫖↰⪸31A0=⫖↰⪸-327560","layer":3},{"info":"⨰⫟⨤⫖↰⪸-327560=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⫖↰⪸2AB287⪄NaN=NaN","layer":0}]}
{"id":968,"expression_no_base_symbol":"((∥⊫$3432$)⨐⩸⫘($3351$⪄$2181$))≧⫂∧($6380$⋝⋈⪟$2052$-$1004$⪛$2454$)⊭∹↮","expression":"((∥⊫⫖↰⪸1BA0)⨐⩸⫘(⫖↰⪸1B33⪄⫖↰⪸1319))≧⫂∧(⫖↰⪸3838⋝⋈⪟⫖↰⪸1230-⫖↰⪸6B8⪛⫖↰⪸1506)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":115,"operation_count":8,"complexity_ratio":14.375,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3432,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3351,"base":12},"right_expr":{"type":"numeric_atoms","value":2181,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6380,"base":12},"right_expr":{"type":"numeric_atoms","value":2052,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":2454,"base":12}}}}},"used_operators":["xNBdhnnwKq","Ph9nP6C5qx","fu6greOZ01","P8v4zCKN1o","SUmda5xLS4","rysDP5nf3Z","2DDjHMKMc0","uFcxV4UQCh"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸5812","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4300","layer":3},{"info":"number node, value=3351","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=2181, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-500761","layer":3},{"info":"compute binary expreesion, left_input=4300, right_input=-500761, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6380","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=2052, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6380","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2454, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1004","layer":3},{"info":"compute binary expreesion, left_input=6380, right_input=1004, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5376","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5376, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4903","layer":1},{"info":"compute unary expreesion, input=4903, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9806","layer":0}],"base":12,"result_base":12,"text":"((∥⊫⫖↰⪸1BA0)⨐⩸⫘(⫖↰⪸1B33⪄⫖↰⪸1319))≧⫂∧(⫖↰⪸3838⋝⋈⪟⫖↰⪸1230-⫖↰⪸6B8⪛⫖↰⪸1506)⊭∹↮=⫖↰⪸5812","reverse_text":"⫖↰⪸5812=((∥⊫⫖↰⪸1BA0)⨐⩸⫘(⫖↰⪸1B33⪄⫖↰⪸1319))≧⫂∧(⫖↰⪸3838⋝⋈⪟⫖↰⪸1230-⫖↰⪸6B8⪛⫖↰⪸1506)⊭∹↮","cot":[{"info":"∥⊫⫖↰⪸1BA0=⫖↰⪸25A4","layer":3},{"info":"⫖↰⪸1B33⪄⫖↰⪸1319=⫖↰⪸-201961","layer":3},{"info":"⫖↰⪸25A4⨐⩸⫘⫖↰⪸-201961=NaN","layer":2},{"info":"⫖↰⪸3838⋝⋈⪟⫖↰⪸1230=⫖↰⪸3838","layer":3},{"info":"⫖↰⪸6B8⪛⫖↰⪸1506=⫖↰⪸6B8","layer":3},{"info":"⫖↰⪸3838-⫖↰⪸6B8=⫖↰⪸3140","layer":2},{"info":"NaN≧⫂∧⫖↰⪸3140=⫖↰⪸2A07","layer":1},{"info":"⫖↰⪸2A07⊭∹↮=⫖↰⪸5812","layer":0}]}
{"id":969,"expression_no_base_symbol":"⨵≀≌($1838$≹⇙⪍$1619$⋝⋈⪟($1087$⋳⪒$2584$)%(+⊝⨔$5627$)⨳⩥⨓(⨰⫟⨤$2090$))","expression":"⨵≀≌(⫖↰⪸1092≹⇙⪍⫖↰⪸B2B⋝⋈⪟(⫖↰⪸767⋳⪒⫖↰⪸15B4)%(+⊝⨔⫖↰⪸330B)⨳⩥⨓(⨰⫟⨤⫖↰⪸1262))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7578,"operation_count":8,"complexity_ratio":947.25,"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":1838,"base":12},"right_expr":{"type":"numeric_atoms","value":1619,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1087,"base":12},"right_expr":{"type":"numeric_atoms","value":2584,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5627,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2090,"base":12}}}}},"used_operators":["srAu1WTS94","k8jYdgA6NY","2DDjHMKMc0","AHs5Up7iyr","12rbrZMWeM","nCS4ZIUYfx","DhbWaqg5eL","Tw270M8GLb"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=1619, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1087","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=2584, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-697","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-697, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5627","layer":4},{"info":"compute unary expreesion, input=5627, 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=2090","layer":4},{"info":"compute unary expreesion, input=2090, 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=1522, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸1092≹⇙⪍⫖↰⪸B2B⋝⋈⪟(⫖↰⪸767⋳⪒⫖↰⪸15B4)%(+⊝⨔⫖↰⪸330B)⨳⩥⨓(⨰⫟⨤⫖↰⪸1262))=NaN","reverse_text":"NaN=⨵≀≌(⫖↰⪸1092≹⇙⪍⫖↰⪸B2B⋝⋈⪟(⫖↰⪸767⋳⪒⫖↰⪸15B4)%(+⊝⨔⫖↰⪸330B)⨳⩥⨓(⨰⫟⨤⫖↰⪸1262))","cot":[{"info":"⫖↰⪸1092≹⇙⪍⫖↰⪸B2B=NaN","layer":3},{"info":"⫖↰⪸767⋳⪒⫖↰⪸15B4=⫖↰⪸-4A1","layer":3},{"info":"NaN⋝⋈⪟⫖↰⪸-4A1=NaN","layer":2},{"info":"+⊝⨔⫖↰⪸330B=⫖↰⪸A6A","layer":3},{"info":"⨰⫟⨤⫖↰⪸1262=NaN","layer":3},{"info":"⫖↰⪸A6A⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"⨰⫟⨤(⫓⪴($2313$⋓$5632$)≹⇙⪍(≤/$1137$))","expression":"⨰⫟⨤(⫓⪴(⫖↰⪸1409⋓⫖↰⪸3314)≹⇙⪍(≤/⫖↰⪸7A9))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":426453,"operation_count":5,"complexity_ratio":85290.6,"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":2313,"base":12},"right_expr":{"type":"numeric_atoms","value":5632,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1137,"base":12}}}}},"used_operators":["Tw270M8GLb","eLxqMNBOBk","AHs5Up7iyr","T2fj7uvVaJ","eLAdDNolq6"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2313","layer":4},{"info":"number node, value=5632","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=5632, 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=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-653","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-653, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤(⫓⪴(⫖↰⪸1409⋓⫖↰⪸3314)≹⇙⪍(≤/⫖↰⪸7A9))=NaN","reverse_text":"NaN=⨰⫟⨤(⫓⪴(⫖↰⪸1409⋓⫖↰⪸3314)≹⇙⪍(≤/⫖↰⪸7A9))","cot":[{"info":"⫖↰⪸1409⋓⫖↰⪸3314=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸7A9=⫖↰⪸-465","layer":3},{"info":"⫖↰⪸0≹⇙⪍⫖↰⪸-465=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"((($8244$⊦⊿)⨳⩥⨓$4224$⩷∴$3067$)⨰($5108$⨐⩸⫘$1496$↺$2612$≧⫂∧$5989$))⨪↰⇹((⊄⩳↩$4042$)⩷∴($1392$⩷∴$4214$)⋓($3438$≎⊠⪸$5157$)≹⇙⪍($2898$∲⫓$1409$))","expression":"(((⫖↰⪸4930⊦⊿)⨳⩥⨓⫖↰⪸2540⩷∴⫖↰⪸1937)⨰(⫖↰⪸2B58⨐⩸⫘⫖↰⪸A48↺⫖↰⪸1618≧⫂∧⫖↰⪸3571))⨪↰⇹((⊄⩳↩⫖↰⪸240A)⩷∴(⫖↰⪸980⩷∴⫖↰⪸2532)⋓(⫖↰⪸1BA6≎⊠⪸⫖↰⪸2B99)≹⇙⪍(⫖↰⪸1816∲⫓⫖↰⪸995))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21913,"operation_count":15,"complexity_ratio":1460.8666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":8244,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4224,"base":12},"right_expr":{"type":"numeric_atoms","value":3067,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5108,"base":12},"right_expr":{"type":"numeric_atoms","value":1496,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2612,"base":12},"right_expr":{"type":"numeric_atoms","value":5989,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4042,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1392,"base":12},"right_expr":{"type":"numeric_atoms","value":4214,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3438,"base":12},"right_expr":{"type":"numeric_atoms","value":5157,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2898,"base":12},"right_expr":{"type":"numeric_atoms","value":1409,"base":12}}}}},"used_operators":["tmPS8pqC7x","eewbuw0ToL","nCS4ZIUYfx","14qkJME0vr","9FxExcQeMw","7j4O788W3g","fu6greOZ01","Ph9nP6C5qx","T2fj7uvVaJ","8w2t5hMYqp","AHs5Up7iyr","bJkvcejdHO","i8ToyICDmI"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸105AB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8244","layer":4},{"info":"compute unary expreesion, input=8244, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-24811","layer":3},{"info":"number node, value=4224","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=3067, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2282","layer":3},{"info":"compute binary expreesion, left_input=-24811, right_input=2282, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=27093","layer":2},{"info":"number node, value=5108","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=5108, right_input=1496, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2612","layer":4},{"info":"number node, value=5989","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=5989, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5516","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5516, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5516","layer":2},{"info":"compute binary expreesion, left_input=27093, right_input=5516, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=21587","layer":1},{"info":"number node, value=4042","layer":4},{"info":"compute unary expreesion, input=4042, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12126","layer":3},{"info":"number node, value=1392","layer":4},{"info":"number node, value=4214","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=4214, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5676","layer":3},{"info":"compute binary expreesion, left_input=-12126, right_input=-5676, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12932","layer":2},{"info":"number node, value=3438","layer":4},{"info":"number node, value=5157","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=5157, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=889969","layer":3},{"info":"number node, value=2898","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=2898, right_input=1409, 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=889969, 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=889969","layer":2},{"info":"compute binary expreesion, left_input=-12932, right_input=889969, 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=21587, 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=21587","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸4930⊦⊿)⨳⩥⨓⫖↰⪸2540⩷∴⫖↰⪸1937)⨰(⫖↰⪸2B58⨐⩸⫘⫖↰⪸A48↺⫖↰⪸1618≧⫂∧⫖↰⪸3571))⨪↰⇹((⊄⩳↩⫖↰⪸240A)⩷∴(⫖↰⪸980⩷∴⫖↰⪸2532)⋓(⫖↰⪸1BA6≎⊠⪸⫖↰⪸2B99)≹⇙⪍(⫖↰⪸1816∲⫓⫖↰⪸995))=⫖↰⪸105AB","reverse_text":"⫖↰⪸105AB=(((⫖↰⪸4930⊦⊿)⨳⩥⨓⫖↰⪸2540⩷∴⫖↰⪸1937)⨰(⫖↰⪸2B58⨐⩸⫘⫖↰⪸A48↺⫖↰⪸1618≧⫂∧⫖↰⪸3571))⨪↰⇹((⊄⩳↩⫖↰⪸240A)⩷∴(⫖↰⪸980⩷∴⫖↰⪸2532)⋓(⫖↰⪸1BA6≎⊠⪸⫖↰⪸2B99)≹⇙⪍(⫖↰⪸1816∲⫓⫖↰⪸995))","cot":[{"info":"⫖↰⪸4930⊦⊿=⫖↰⪸-12437","layer":3},{"info":"⫖↰⪸2540⩷∴⫖↰⪸1937=⫖↰⪸13A2","layer":3},{"info":"⫖↰⪸-12437⨳⩥⨓⫖↰⪸13A2=⫖↰⪸13819","layer":2},{"info":"⫖↰⪸2B58⨐⩸⫘⫖↰⪸A48=NaN","layer":3},{"info":"⫖↰⪸1618≧⫂∧⫖↰⪸3571=⫖↰⪸3238","layer":3},{"info":"NaN↺⫖↰⪸3238=⫖↰⪸3238","layer":2},{"info":"⫖↰⪸13819⨰⫖↰⪸3238=⫖↰⪸105AB","layer":1},{"info":"⊄⩳↩⫖↰⪸240A=⫖↰⪸-7026","layer":3},{"info":"⫖↰⪸980⩷∴⫖↰⪸2532=⫖↰⪸-3350","layer":3},{"info":"⫖↰⪸-7026⩷∴⫖↰⪸-3350=⫖↰⪸-7598","layer":2},{"info":"⫖↰⪸1BA6≎⊠⪸⫖↰⪸2B99=⫖↰⪸36B041","layer":3},{"info":"⫖↰⪸1816∲⫓⫖↰⪸995=⫖↰⪸0","layer":3},{"info":"⫖↰⪸36B041≹⇙⪍⫖↰⪸0=⫖↰⪸36B041","layer":2},{"info":"⫖↰⪸-7598⋓⫖↰⪸36B041=⫖↰⪸0","layer":1},{"info":"⫖↰⪸105AB⨪↰⇹⫖↰⪸0=⫖↰⪸105AB","layer":0}]}
{"id":972,"expression_no_base_symbol":"(⨈⫕(≉($5456$⊭↱$7850$)))-(⊥(≦∁$5280$))*($7748$⨁⊸⫻)⨐⩸⫘(⩦⩻⨪$4669$)","expression":"(⨈⫕(≉(⫖↰⪸31A8⊭↱⫖↰⪸4662)))-(⊥(≦∁⫖↰⪸3080))*(⫖↰⪸4598⨁⊸⫻)⨐⩸⫘(⩦⩻⨪⫖↰⪸2851)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":403,"operation_count":10,"complexity_ratio":40.3,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5456,"base":12},"right_expr":{"type":"numeric_atoms","value":7850,"base":12}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5280,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":7748,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4669,"base":12}}}}},"used_operators":["rysDP5nf3Z","megm06wKyl","e1ybzncUwg","COABgblf1C","9HNa5Wba9A","Q3PJZHRvZv","9ICcGScMcE","fu6greOZ01","glklzrTFfD","2td37pGCOC"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5456","layer":4},{"info":"number node, value=7850","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=7850, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4793","layer":3},{"info":"compute unary expreesion, input=4793, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5324","layer":2},{"info":"compute unary expreesion, input=5324, 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=5280","layer":4},{"info":"compute unary expreesion, input=5280, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5280","layer":3},{"info":"compute unary expreesion, input=5280, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=7748","layer":4},{"info":"compute unary expreesion, input=7748, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7748","layer":3},{"info":"number node, value=4669","layer":4},{"info":"compute unary expreesion, input=4669, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4669","layer":3},{"info":"compute binary expreesion, left_input=7748, right_input=4669, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕(≉(⫖↰⪸31A8⊭↱⫖↰⪸4662)))-(⊥(≦∁⫖↰⪸3080))*(⫖↰⪸4598⨁⊸⫻)⨐⩸⫘(⩦⩻⨪⫖↰⪸2851)=NaN","reverse_text":"NaN=(⨈⫕(≉(⫖↰⪸31A8⊭↱⫖↰⪸4662)))-(⊥(≦∁⫖↰⪸3080))*(⫖↰⪸4598⨁⊸⫻)⨐⩸⫘(⩦⩻⨪⫖↰⪸2851)","cot":[{"info":"⫖↰⪸31A8⊭↱⫖↰⪸4662=⫖↰⪸2935","layer":3},{"info":"≉⫖↰⪸2935=⫖↰⪸30B8","layer":2},{"info":"⨈⫕⫖↰⪸30B8=⫖↰⪸-19","layer":1},{"info":"≦∁⫖↰⪸3080=⫖↰⪸3080","layer":3},{"info":"⊥⫖↰⪸3080=NaN","layer":2},{"info":"⫖↰⪸4598⨁⊸⫻=⫖↰⪸4598","layer":3},{"info":"⩦⩻⨪⫖↰⪸2851=⫖↰⪸2851","layer":3},{"info":"⫖↰⪸4598⨐⩸⫘⫖↰⪸2851=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⫖↰⪸-19-NaN=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"(($2125$+$1172$/$3414$⩚⊴⇥$2063$)⊠≄⫣)⨪↰⇹((($1537$⫡⨏$6692$)↛⩡⫤)≦≮≮)","expression":"((⫖↰⪸1291+⫖↰⪸818/⫖↰⪸1B86⩚⊴⇥⫖↰⪸123B)⊠≄⫣)⨪↰⇹(((⫖↰⪸A81⫡⨏⫖↰⪸3A58)↛⩡⫤)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":65709,"operation_count":8,"complexity_ratio":8213.625,"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":2125,"base":12},"right_expr":{"type":"numeric_atoms","value":1172,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3414,"base":12},"right_expr":{"type":"numeric_atoms","value":2063,"base":12}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1537,"base":12},"right_expr":{"type":"numeric_atoms","value":6692,"base":12}}}}},"used_operators":["tmPS8pqC7x","DIvbN7qnHd","XhwjNDsVaA","W4YGzv6Whe","NTOWxs364D","D4vGDi5EA2","FU0Cs4j7VP","QMFrweE19q"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2125","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=1172, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3297","layer":3},{"info":"number node, value=3414","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=3414, right_input=2063, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5598","layer":3},{"info":"compute binary expreesion, left_input=3297, right_input=-5598, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1537","layer":4},{"info":"number node, value=6692","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=6692, 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=21852","layer":3},{"info":"compute unary expreesion, input=21852, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-3295741","layer":2},{"info":"compute unary expreesion, input=-3295741, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=9887223","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9887223, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1291+⫖↰⪸818/⫖↰⪸1B86⩚⊴⇥⫖↰⪸123B)⊠≄⫣)⨪↰⇹(((⫖↰⪸A81⫡⨏⫖↰⪸3A58)↛⩡⫤)≦≮≮)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸1291+⫖↰⪸818/⫖↰⪸1B86⩚⊴⇥⫖↰⪸123B)⊠≄⫣)⨪↰⇹(((⫖↰⪸A81⫡⨏⫖↰⪸3A58)↛⩡⫤)≦≮≮)","cot":[{"info":"⫖↰⪸1291+⫖↰⪸818=⫖↰⪸1AA9","layer":3},{"info":"⫖↰⪸1B86⩚⊴⇥⫖↰⪸123B=⫖↰⪸-32A6","layer":3},{"info":"⫖↰⪸1AA9/⫖↰⪸-32A6=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-1⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A81⫡⨏⫖↰⪸3A58=⫖↰⪸10790","layer":3},{"info":"⫖↰⪸10790↛⩡⫤=⫖↰⪸-112B311","layer":2},{"info":"⫖↰⪸-112B311≦≮≮=⫖↰⪸3389933","layer":1},{"info":"⫖↰⪸0⨪↰⇹⫖↰⪸3389933=⫖↰⪸0","layer":0}]}
{"id":974,"expression_no_base_symbol":"(($2855$⨰$6847$)∀⇚≩(↔$1169$)⪨≂$2678$↬$2908$⨎(⪝⪂⫅$5116$))⫌⩹⨱","expression":"((⫖↰⪸179B⨰⫖↰⪸3B67)∀⇚≩(↔⫖↰⪸815)⪨≂⫖↰⪸1672↬⫖↰⪸1824⨎(⪝⪂⫅⫖↰⪸2B64))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":28051,"operation_count":8,"complexity_ratio":3506.375,"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":2855,"base":12},"right_expr":{"type":"numeric_atoms","value":6847,"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":2678,"base":12},"right_expr":{"type":"numeric_atoms","value":2908,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5116,"base":12}}}}},"used_operators":["EBcxylXtPf","sdazOOVcIp","LRNGc0VcxI","eewbuw0ToL","ruOEQAzv1W","rJVOvQCfKK","B5M0gjZbta","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2855","layer":4},{"info":"number node, value=6847","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=6847, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3982","layer":3},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-896","layer":3},{"info":"compute binary expreesion, left_input=-3982, right_input=-896, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2678","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=2908, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5116","layer":4},{"info":"compute unary expreesion, input=5116, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-752052","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-752052, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-752052","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-752052, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸179B⨰⫖↰⪸3B67)∀⇚≩(↔⫖↰⪸815)⪨≂⫖↰⪸1672↬⫖↰⪸1824⨎(⪝⪂⫅⫖↰⪸2B64))⫌⩹⨱=NaN","reverse_text":"NaN=((⫖↰⪸179B⨰⫖↰⪸3B67)∀⇚≩(↔⫖↰⪸815)⪨≂⫖↰⪸1672↬⫖↰⪸1824⨎(⪝⪂⫅⫖↰⪸2B64))⫌⩹⨱","cot":[{"info":"⫖↰⪸179B⨰⫖↰⪸3B67=⫖↰⪸-237A","layer":3},{"info":"↔⫖↰⪸815=⫖↰⪸-628","layer":3},{"info":"⫖↰⪸-237A∀⇚≩⫖↰⪸-628=NaN","layer":2},{"info":"⫖↰⪸1672↬⫖↰⪸1824=NaN","layer":3},{"info":"⪝⪂⫅⫖↰⪸2B64=⫖↰⪸-303270","layer":3},{"info":"NaN⨎⫖↰⪸-303270=⫖↰⪸-303270","layer":2},{"info":"NaN⪨≂⫖↰⪸-303270=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"($1420$⩷∴$4291$⨰($2240$⨳⩥⨓$2124$)↪⪝)*($2608$≎⊠⪸$1987$)⪘⫢(⫓⪴$1051$)⨰($4462$⪒$1188$)∑⇟⊟($4640$≎⊠⪸$3138$)","expression":"(⫖↰⪸9A4⩷∴⫖↰⪸2597⨰(⫖↰⪸1368⨳⩥⨓⫖↰⪸1290)↪⪝)*(⫖↰⪸1614≎⊠⪸⫖↰⪸1197)⪘⫢(⫓⪴⫖↰⪸737)⨰(⫖↰⪸26BA⪒⫖↰⪸830)∑⇟⊟(⫖↰⪸2828≎⊠⪸⫖↰⪸1996)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2332,"operation_count":12,"complexity_ratio":194.33333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1420,"base":12},"right_expr":{"type":"numeric_atoms","value":4291,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2240,"base":12},"right_expr":{"type":"numeric_atoms","value":2124,"base":12}}}},"right_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":1987,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1051,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4462,"base":12},"right_expr":{"type":"numeric_atoms","value":1188,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4640,"base":12},"right_expr":{"type":"numeric_atoms","value":3138,"base":12}}}}},"used_operators":["9HNa5Wba9A","l07mrZUIn9","eewbuw0ToL","9FxExcQeMw","nCS4ZIUYfx","oacrs7FA3X","bJkvcejdHO","eLxqMNBOBk","U7g4x0WXJJ","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=4291, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5774","layer":3},{"info":"number node, value=2240","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=2124, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-116","layer":3},{"info":"compute binary expreesion, left_input=-5774, right_input=-116, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5648","layer":2},{"info":"compute unary expreesion, input=-5648, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-345555936","layer":1},{"info":"number node, value=2608","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=1987, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=674999","layer":3},{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1104601","layer":3},{"info":"compute binary expreesion, left_input=674999, right_input=1104601, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1349874","layer":2},{"info":"number node, value=4462","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=1188, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5650","layer":3},{"info":"number node, value=4640","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=4640, right_input=3138, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1201287","layer":3},{"info":"compute binary expreesion, left_input=-5650, right_input=1201287, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1349874, 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=-345555936, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸9A4⩷∴⫖↰⪸2597⨰(⫖↰⪸1368⨳⩥⨓⫖↰⪸1290)↪⪝)*(⫖↰⪸1614≎⊠⪸⫖↰⪸1197)⪘⫢(⫓⪴⫖↰⪸737)⨰(⫖↰⪸26BA⪒⫖↰⪸830)∑⇟⊟(⫖↰⪸2828≎⊠⪸⫖↰⪸1996)=NaN","reverse_text":"NaN=(⫖↰⪸9A4⩷∴⫖↰⪸2597⨰(⫖↰⪸1368⨳⩥⨓⫖↰⪸1290)↪⪝)*(⫖↰⪸1614≎⊠⪸⫖↰⪸1197)⪘⫢(⫓⪴⫖↰⪸737)⨰(⫖↰⪸26BA⪒⫖↰⪸830)∑⇟⊟(⫖↰⪸2828≎⊠⪸⫖↰⪸1996)","cot":[{"info":"⫖↰⪸9A4⩷∴⫖↰⪸2597=⫖↰⪸-3412","layer":3},{"info":"⫖↰⪸1368⨳⩥⨓⫖↰⪸1290=⫖↰⪸-98","layer":3},{"info":"⫖↰⪸-3412⨰⫖↰⪸-98=⫖↰⪸-3328","layer":2},{"info":"⫖↰⪸-3328↪⪝=⫖↰⪸-97886600","layer":1},{"info":"⫖↰⪸1614≎⊠⪸⫖↰⪸1197=⫖↰⪸28675B","layer":3},{"info":"⫓⪴⫖↰⪸737=⫖↰⪸4532A1","layer":3},{"info":"⫖↰⪸28675B⪘⫢⫖↰⪸4532A1=⫖↰⪸551216","layer":2},{"info":"⫖↰⪸26BA⪒⫖↰⪸830=⫖↰⪸-332A","layer":3},{"info":"⫖↰⪸2828≎⊠⪸⫖↰⪸1996=⫖↰⪸49B233","layer":3},{"info":"⫖↰⪸-332A∑⇟⊟⫖↰⪸49B233=NaN","layer":2},{"info":"⫖↰⪸551216⨰NaN=NaN","layer":1},{"info":"⫖↰⪸-97886600*NaN=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"(($5842$↺$4367$)⨓(⪝⪂⫅$2795$)⋫)⨓($2338$≹⇙⪍$2586$⪘⫢($6098$⨎$1540$))⨪↰⇹($1057$↙$4408$⫸⊐$2181$⋳⪒$3981$)","expression":"((⫖↰⪸346A↺⫖↰⪸263B)⨓(⪝⪂⫅⫖↰⪸174B)⋫)⨓(⫖↰⪸142A≹⇙⪍⫖↰⪸15B6⪘⫢(⫖↰⪸3642⨎⫖↰⪸A84))⨪↰⇹(⫖↰⪸741↙⫖↰⪸2674⫸⊐⫖↰⪸1319⋳⪒⫖↰⪸2379)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":826332,"operation_count":12,"complexity_ratio":68861.0,"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":5842,"base":12},"right_expr":{"type":"numeric_atoms","value":4367,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2795,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2338,"base":12},"right_expr":{"type":"numeric_atoms","value":2586,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6098,"base":12},"right_expr":{"type":"numeric_atoms","value":1540,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1057,"base":12},"right_expr":{"type":"numeric_atoms","value":4408,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2181,"base":12},"right_expr":{"type":"numeric_atoms","value":3981,"base":12}}}}},"used_operators":["3ViojmjbAp","JL8yIekQnl","7j4O788W3g","XTarYq4gQB","tmPS8pqC7x","oacrs7FA3X","AHs5Up7iyr","rJVOvQCfKK","mqXw5SEYmG","yyfyN0ffXY","12rbrZMWeM"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5842","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=5842, right_input=4367, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4367","layer":3},{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-410865","layer":3},{"info":"compute binary expreesion, left_input=4367, right_input=-410865, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-410868","layer":2},{"info":"compute unary expreesion, input=-410868, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-410868","layer":1},{"info":"number node, value=2338","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=2586, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6098","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=6098, right_input=1540, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1540","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1540, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=4408","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=4408, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13224","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=3981, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=94","layer":3},{"info":"compute binary expreesion, left_input=-13224, right_input=94, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = 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=-410868, 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":"((⫖↰⪸346A↺⫖↰⪸263B)⨓(⪝⪂⫅⫖↰⪸174B)⋫)⨓(⫖↰⪸142A≹⇙⪍⫖↰⪸15B6⪘⫢(⫖↰⪸3642⨎⫖↰⪸A84))⨪↰⇹(⫖↰⪸741↙⫖↰⪸2674⫸⊐⫖↰⪸1319⋳⪒⫖↰⪸2379)=NaN","reverse_text":"NaN=((⫖↰⪸346A↺⫖↰⪸263B)⨓(⪝⪂⫅⫖↰⪸174B)⋫)⨓(⫖↰⪸142A≹⇙⪍⫖↰⪸15B6⪘⫢(⫖↰⪸3642⨎⫖↰⪸A84))⨪↰⇹(⫖↰⪸741↙⫖↰⪸2674⫸⊐⫖↰⪸1319⋳⪒⫖↰⪸2379)","cot":[{"info":"⫖↰⪸346A↺⫖↰⪸263B=⫖↰⪸263B","layer":3},{"info":"⪝⪂⫅⫖↰⪸174B=⫖↰⪸-179929","layer":3},{"info":"⫖↰⪸263B⨓⫖↰⪸-179929=⫖↰⪸-179930","layer":2},{"info":"⫖↰⪸-179930⋫=⫖↰⪸-179930","layer":1},{"info":"⫖↰⪸142A≹⇙⪍⫖↰⪸15B6=NaN","layer":3},{"info":"⫖↰⪸3642⨎⫖↰⪸A84=⫖↰⪸A84","layer":3},{"info":"NaN⪘⫢⫖↰⪸A84=NaN","layer":2},{"info":"⫖↰⪸741↙⫖↰⪸2674=⫖↰⪸-77A0","layer":3},{"info":"⫖↰⪸1319⋳⪒⫖↰⪸2379=⫖↰⪸7A","layer":3},{"info":"⫖↰⪸-77A0⫸⊐⫖↰⪸7A=⫖↰⪸688","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸688=NaN","layer":1},{"info":"⫖↰⪸-179930⨓NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"($2114$⋝⋈⪟$6940$⋝⋈⪟($5218$+$1645$))⪘⫢($2528$⪄$2715$)∀⇚≩($1187$*$5991$)⨰($3087$⨓$3099$≎⊠⪸$1670$⪛$2016$/(⨰⫟⨤$2041$)⨰($3197$%$1078$))","expression":"(⫖↰⪸1282⋝⋈⪟⫖↰⪸4024⋝⋈⪟(⫖↰⪸302A+⫖↰⪸B51))⪘⫢(⫖↰⪸1568⪄⫖↰⪸16A3)∀⇚≩(⫖↰⪸82B*⫖↰⪸3573)⨰(⫖↰⪸1953⨓⫖↰⪸1963≎⊠⪸⫖↰⪸B72⪛⫖↰⪸1200/(⨰⫟⨤⫖↰⪸1221)⨰(⫖↰⪸1A25%⫖↰⪸75A))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2679668,"operation_count":15,"complexity_ratio":178644.53333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2114,"base":12},"right_expr":{"type":"numeric_atoms","value":6940,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5218,"base":12},"right_expr":{"type":"numeric_atoms","value":1645,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2528,"base":12},"right_expr":{"type":"numeric_atoms","value":2715,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1187,"base":12},"right_expr":{"type":"numeric_atoms","value":5991,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3087,"base":12},"right_expr":{"type":"numeric_atoms","value":3099,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1670,"base":12},"right_expr":{"type":"numeric_atoms","value":2016,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2041,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3197,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}}}}},"used_operators":["eewbuw0ToL","oacrs7FA3X","2DDjHMKMc0","W4YGzv6Whe","LRNGc0VcxI","SUmda5xLS4","9HNa5Wba9A","XhwjNDsVaA","bJkvcejdHO","3ViojmjbAp","uFcxV4UQCh","Tw270M8GLb","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"number node, value=6940","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=6940, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2114","layer":3},{"info":"number node, value=5218","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=5218, right_input=1645, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6863","layer":3},{"info":"compute binary expreesion, left_input=2114, right_input=6863, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2114","layer":2},{"info":"number node, value=2528","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=2528, right_input=2715, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-381093","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=5991","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=5991, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7111317","layer":3},{"info":"compute binary expreesion, left_input=-381093, right_input=7111317, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2114, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=3087","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=3099, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3102","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=2016, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1670","layer":3},{"info":"compute binary expreesion, left_input=-3102, right_input=1670, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=803418","layer":2},{"info":"number node, value=2041","layer":4},{"info":"compute unary expreesion, input=2041, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=1078, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1041","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1041, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=803418, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1282⋝⋈⪟⫖↰⪸4024⋝⋈⪟(⫖↰⪸302A+⫖↰⪸B51))⪘⫢(⫖↰⪸1568⪄⫖↰⪸16A3)∀⇚≩(⫖↰⪸82B*⫖↰⪸3573)⨰(⫖↰⪸1953⨓⫖↰⪸1963≎⊠⪸⫖↰⪸B72⪛⫖↰⪸1200/(⨰⫟⨤⫖↰⪸1221)⨰(⫖↰⪸1A25%⫖↰⪸75A))=NaN","reverse_text":"NaN=(⫖↰⪸1282⋝⋈⪟⫖↰⪸4024⋝⋈⪟(⫖↰⪸302A+⫖↰⪸B51))⪘⫢(⫖↰⪸1568⪄⫖↰⪸16A3)∀⇚≩(⫖↰⪸82B*⫖↰⪸3573)⨰(⫖↰⪸1953⨓⫖↰⪸1963≎⊠⪸⫖↰⪸B72⪛⫖↰⪸1200/(⨰⫟⨤⫖↰⪸1221)⨰(⫖↰⪸1A25%⫖↰⪸75A))","cot":[{"info":"⫖↰⪸1282⋝⋈⪟⫖↰⪸4024=⫖↰⪸1282","layer":3},{"info":"⫖↰⪸302A+⫖↰⪸B51=⫖↰⪸3B7B","layer":3},{"info":"⫖↰⪸1282⋝⋈⪟⫖↰⪸3B7B=⫖↰⪸1282","layer":2},{"info":"⫖↰⪸1568⪄⫖↰⪸16A3=⫖↰⪸-164659","layer":3},{"info":"⫖↰⪸82B*⫖↰⪸3573=⫖↰⪸246B419","layer":3},{"info":"⫖↰⪸-164659∀⇚≩⫖↰⪸246B419=NaN","layer":2},{"info":"⫖↰⪸1282⪘⫢NaN=NaN","layer":1},{"info":"⫖↰⪸1953⨓⫖↰⪸1963=⫖↰⪸-1966","layer":3},{"info":"⫖↰⪸B72⪛⫖↰⪸1200=⫖↰⪸B72","layer":3},{"info":"⫖↰⪸-1966≎⊠⪸⫖↰⪸B72=⫖↰⪸328B36","layer":2},{"info":"⨰⫟⨤⫖↰⪸1221=NaN","layer":3},{"info":"⫖↰⪸1A25%⫖↰⪸75A=⫖↰⪸729","layer":3},{"info":"NaN⨰⫖↰⪸729=NaN","layer":2},{"info":"⫖↰⪸328B36/NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"($1227$⊉≛↸$5340$)⊴($3868$⨳⩥⨓$5270$)⨸⪁(↔$1721$)⫥∨⫟($5513$⋳⪒$2441$)⪨≂(≤/($3292$⨐⩸⫘$2742$%$2740$⇼⇔∾$2954$))","expression":"(⫖↰⪸863⊉≛↸⫖↰⪸3110)⊴(⫖↰⪸22A4⨳⩥⨓⫖↰⪸3072)⨸⪁(↔⫖↰⪸BB5)⫥∨⫟(⫖↰⪸3235⋳⪒⫖↰⪸14B5)⪨≂(≤/(⫖↰⪸1AA4⨐⩸⫘⫖↰⪸1706%⫖↰⪸1704⇼⇔∾⫖↰⪸1862))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3439,"operation_count":12,"complexity_ratio":286.5833333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1227,"base":12},"right_expr":{"type":"numeric_atoms","value":5340,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3868,"base":12},"right_expr":{"type":"numeric_atoms","value":5270,"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":5513,"base":12},"right_expr":{"type":"numeric_atoms","value":2441,"base":12}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3292,"base":12},"right_expr":{"type":"numeric_atoms","value":2742,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2740,"base":12},"right_expr":{"type":"numeric_atoms","value":2954,"base":12}}}}},"used_operators":["sdazOOVcIp","g55IO6H4Gj","Nsiff2A1zJ","DZ8iAZOCBD","nCS4ZIUYfx","KYD54nUTWz","ruOEQAzv1W","12rbrZMWeM","eLAdDNolq6","k8jYdgA6NY","fu6greOZ01","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=5340, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2454","layer":3},{"info":"number node, value=3868","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=3868, right_input=5270, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1402","layer":3},{"info":"compute binary expreesion, left_input=2454, right_input=1402, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1721","layer":4},{"info":"compute unary expreesion, input=1721, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1448","layer":3},{"info":"number node, value=5513","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=2441, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8298","layer":3},{"info":"compute binary expreesion, left_input=-1448, right_input=8298, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3292","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=2742, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2740","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=2954, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=214","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=214, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸863⊉≛↸⫖↰⪸3110)⊴(⫖↰⪸22A4⨳⩥⨓⫖↰⪸3072)⨸⪁(↔⫖↰⪸BB5)⫥∨⫟(⫖↰⪸3235⋳⪒⫖↰⪸14B5)⪨≂(≤/(⫖↰⪸1AA4⨐⩸⫘⫖↰⪸1706%⫖↰⪸1704⇼⇔∾⫖↰⪸1862))=NaN","reverse_text":"NaN=(⫖↰⪸863⊉≛↸⫖↰⪸3110)⊴(⫖↰⪸22A4⨳⩥⨓⫖↰⪸3072)⨸⪁(↔⫖↰⪸BB5)⫥∨⫟(⫖↰⪸3235⋳⪒⫖↰⪸14B5)⪨≂(≤/(⫖↰⪸1AA4⨐⩸⫘⫖↰⪸1706%⫖↰⪸1704⇼⇔∾⫖↰⪸1862))","cot":[{"info":"⫖↰⪸863⊉≛↸⫖↰⪸3110=⫖↰⪸1506","layer":3},{"info":"⫖↰⪸22A4⨳⩥⨓⫖↰⪸3072=⫖↰⪸98A","layer":3},{"info":"⫖↰⪸1506⊴⫖↰⪸98A=NaN","layer":2},{"info":"↔⫖↰⪸BB5=⫖↰⪸-A08","layer":3},{"info":"⫖↰⪸3235⋳⪒⫖↰⪸14B5=⫖↰⪸4976","layer":3},{"info":"⫖↰⪸-A08⫥∨⫟⫖↰⪸4976=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸1AA4⨐⩸⫘⫖↰⪸1706=NaN","layer":3},{"info":"⫖↰⪸1704⇼⇔∾⫖↰⪸1862=⫖↰⪸15A","layer":3},{"info":"NaN%⫖↰⪸15A=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"(↯⪼(($1247$/$2438$)≣⋋))⨰(⪝⪂⫅($1203$∑⇟⊟$1411$∑⇟⊟($1366$⨽$1040$)))","expression":"(↯⪼((⫖↰⪸87B/⫖↰⪸14B2)≣⋋))⨰(⪝⪂⫅(⫖↰⪸843∑⇟⊟⫖↰⪸997∑⇟⊟(⫖↰⪸95A⨽⫖↰⪸728)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1423,"operation_count":8,"complexity_ratio":177.875,"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":1247,"base":12},"right_expr":{"type":"numeric_atoms","value":2438,"base":12}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1203,"base":12},"right_expr":{"type":"numeric_atoms","value":1411,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1366,"base":12},"right_expr":{"type":"numeric_atoms","value":1040,"base":12}}}}},"used_operators":["eewbuw0ToL","8jW3W4yZS5","Tcnh7f0tEr","XhwjNDsVaA","XTarYq4gQB","U7g4x0WXJJ","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2438, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1203","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1411, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1040, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5599674","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5599674, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(↯⪼((⫖↰⪸87B/⫖↰⪸14B2)≣⋋))⨰(⪝⪂⫅(⫖↰⪸843∑⇟⊟⫖↰⪸997∑⇟⊟(⫖↰⪸95A⨽⫖↰⪸728)))=NaN","reverse_text":"NaN=(↯⪼((⫖↰⪸87B/⫖↰⪸14B2)≣⋋))⨰(⪝⪂⫅(⫖↰⪸843∑⇟⊟⫖↰⪸997∑⇟⊟(⫖↰⪸95A⨽⫖↰⪸728)))","cot":[{"info":"⫖↰⪸87B/⫖↰⪸14B2=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≣⋋=⫖↰⪸0","layer":2},{"info":"↯⪼⫖↰⪸0=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸843∑⇟⊟⫖↰⪸997=NaN","layer":3},{"info":"⫖↰⪸95A⨽⫖↰⪸728=⫖↰⪸-1A60676","layer":3},{"info":"NaN∑⇟⊟⫖↰⪸-1A60676=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⫖↰⪸-19⨰NaN=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"↥(⨞⊢$1655$⋓$6719$)⇷(⫓⪴$4129$⪢$1435$)","expression":"↥(⨞⊢⫖↰⪸B5B⋓⫖↰⪸3A7B)⇷(⫓⪴⫖↰⪸2481⪢⫖↰⪸9B7)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9596,"operation_count":6,"complexity_ratio":1599.3333333333333,"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":1655,"base":12},"right_expr":{"type":"numeric_atoms","value":6719,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4129,"base":12},"right_expr":{"type":"numeric_atoms","value":1435,"base":12}}}}},"used_operators":["A8NUZmVepG","mp7IySMOzn","xUOZtlo3hN","T2fj7uvVaJ","eLxqMNBOBk","dWAJyo7jo9"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"number node, value=6719","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=6719, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=4129","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=1435, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↥(⨞⊢⫖↰⪸B5B⋓⫖↰⪸3A7B)⇷(⫓⪴⫖↰⪸2481⪢⫖↰⪸9B7)=NaN","reverse_text":"NaN=↥(⨞⊢⫖↰⪸B5B⋓⫖↰⪸3A7B)⇷(⫓⪴⫖↰⪸2481⪢⫖↰⪸9B7)","cot":[{"info":"⫖↰⪸B5B⋓⫖↰⪸3A7B=⫖↰⪸0","layer":3},{"info":"⨞⊢⫖↰⪸0=⫖↰⪸-126","layer":2},{"info":"⫖↰⪸2481⪢⫖↰⪸9B7=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫖↰⪸-126⇷NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"((⫓⪴($2455$⩨$4037$))⩚⊴⇥($1573$⋓$2357$/$2910$⨽$2664$))⨓(($4748$+$1484$)⇷(↩$9084$)⫡⨏($2944$≎⊠⪸$2029$)⨪↰⇹($5887$⪐))","expression":"((⫓⪴(⫖↰⪸1507⩨⫖↰⪸2405))⩚⊴⇥(⫖↰⪸AB1⋓⫖↰⪸1445/⫖↰⪸1826⨽⫖↰⪸1660))⨓((⫖↰⪸28B8+⫖↰⪸A38)⇷(↩⫖↰⪸5310)⫡⨏(⫖↰⪸1854≎⊠⪸⫖↰⪸1211)⨪↰⇹(⫖↰⪸34A7⪐))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":852525,"operation_count":14,"complexity_ratio":60894.642857142855,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2455,"base":12},"right_expr":{"type":"numeric_atoms","value":4037,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1573,"base":12},"right_expr":{"type":"numeric_atoms","value":2357,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2910,"base":12},"right_expr":{"type":"numeric_atoms","value":2664,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4748,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":9084,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2944,"base":12},"right_expr":{"type":"numeric_atoms","value":2029,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5887,"base":12}}}}},"used_operators":["3ViojmjbAp","NTOWxs364D","eLxqMNBOBk","2DlMacCsIx","XhwjNDsVaA","T2fj7uvVaJ","8HhzD0ZcuI","QMFrweE19q","mp7IySMOzn","W4YGzv6Whe","jLgFTUHLKL","tmPS8pqC7x","bJkvcejdHO","eH2TOUuTDT"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"number node, value=4037","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=4037, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=2357, 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=2910","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=2664, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25410978","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-25410978, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-130","layer":1},{"info":"number node, value=4748","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=1484, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6232","layer":3},{"info":"number node, value=9084","layer":4},{"info":"compute unary expreesion, input=9084, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-69892","layer":3},{"info":"compute binary expreesion, left_input=6232, right_input=-69892, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2944","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=2029, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=762023","layer":3},{"info":"number node, value=5887","layer":4},{"info":"compute unary expreesion, input=5887, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11774","layer":3},{"info":"compute binary expreesion, left_input=762023, right_input=11774, 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=762023","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=762023, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-130, 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":"((⫓⪴(⫖↰⪸1507⩨⫖↰⪸2405))⩚⊴⇥(⫖↰⪸AB1⋓⫖↰⪸1445/⫖↰⪸1826⨽⫖↰⪸1660))⨓((⫖↰⪸28B8+⫖↰⪸A38)⇷(↩⫖↰⪸5310)⫡⨏(⫖↰⪸1854≎⊠⪸⫖↰⪸1211)⨪↰⇹(⫖↰⪸34A7⪐))=NaN","reverse_text":"NaN=((⫓⪴(⫖↰⪸1507⩨⫖↰⪸2405))⩚⊴⇥(⫖↰⪸AB1⋓⫖↰⪸1445/⫖↰⪸1826⨽⫖↰⪸1660))⨓((⫖↰⪸28B8+⫖↰⪸A38)⇷(↩⫖↰⪸5310)⫡⨏(⫖↰⪸1854≎⊠⪸⫖↰⪸1211)⨪↰⇹(⫖↰⪸34A7⪐))","cot":[{"info":"⫖↰⪸1507⩨⫖↰⪸2405=⫖↰⪸-3","layer":3},{"info":"⫓⪴⫖↰⪸-3=⫖↰⪸9","layer":2},{"info":"⫖↰⪸AB1⋓⫖↰⪸1445=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1826⨽⫖↰⪸1660=⫖↰⪸-8615516","layer":3},{"info":"⫖↰⪸0/⫖↰⪸-8615516=⫖↰⪸0","layer":2},{"info":"⫖↰⪸9⩚⊴⇥⫖↰⪸0=⫖↰⪸-AA","layer":1},{"info":"⫖↰⪸28B8+⫖↰⪸A38=⫖↰⪸3734","layer":3},{"info":"↩⫖↰⪸5310=⫖↰⪸-34544","layer":3},{"info":"⫖↰⪸3734⇷⫖↰⪸-34544=NaN","layer":2},{"info":"⫖↰⪸1854≎⊠⪸⫖↰⪸1211=⫖↰⪸308B9B","layer":3},{"info":"⫖↰⪸34A7⪐=⫖↰⪸6992","layer":3},{"info":"⫖↰⪸308B9B⨪↰⇹⫖↰⪸6992=⫖↰⪸308B9B","layer":2},{"info":"NaN⫡⨏⫖↰⪸308B9B=NaN","layer":1},{"info":"⫖↰⪸-AA⨓NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"(⇁⨣⪵(⊙↵-$2438$)≎⊠⪸$4550$∀⇚≩$2176$)/(∂($1993$⪘⫢$4905$∑⇟⊟(↯⪼$3037$)))","expression":"(⇁⨣⪵(⊙↵-⫖↰⪸14B2)≎⊠⪸⫖↰⪸2772∀⇚≩⫖↰⪸1314)/(∂(⫖↰⪸11A1⪘⫢⫖↰⪸2A09∑⇟⊟(↯⪼⫖↰⪸1911)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37346,"operation_count":9,"complexity_ratio":4149.555555555556,"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":2438,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4550,"base":12},"right_expr":{"type":"numeric_atoms","value":2176,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1993,"base":12},"right_expr":{"type":"numeric_atoms","value":4905,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3037,"base":12}}}}},"used_operators":["XhwjNDsVaA","inkyxCbjAn","bJkvcejdHO","oWn0xqSxBt","LRNGc0VcxI","Uaa54Peajs","U7g4x0WXJJ","oacrs7FA3X","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2438","layer":4},{"info":"compute unary expreesion, input=2438, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4550","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=2176, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"number node, value=1993","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=4905, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3862","layer":3},{"info":"number node, value=3037","layer":4},{"info":"compute unary expreesion, input=3037, 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=3862, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(⊙↵-⫖↰⪸14B2)≎⊠⪸⫖↰⪸2772∀⇚≩⫖↰⪸1314)/(∂(⫖↰⪸11A1⪘⫢⫖↰⪸2A09∑⇟⊟(↯⪼⫖↰⪸1911)))=NaN","reverse_text":"NaN=(⇁⨣⪵(⊙↵-⫖↰⪸14B2)≎⊠⪸⫖↰⪸2772∀⇚≩⫖↰⪸1314)/(∂(⫖↰⪸11A1⪘⫢⫖↰⪸2A09∑⇟⊟(↯⪼⫖↰⪸1911)))","cot":[{"info":"⊙↵-⫖↰⪸14B2=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸2772∀⇚≩⫖↰⪸1314=NaN","layer":3},{"info":"⫖↰⪸-1≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⇁⨣⪵⫖↰⪸57=⫖↰⪸0","layer":1},{"info":"⫖↰⪸11A1⪘⫢⫖↰⪸2A09=⫖↰⪸229A","layer":3},{"info":"↯⪼⫖↰⪸1911=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸229A∑⇟⊟⫖↰⪸-19=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫖↰⪸0/NaN=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"(($3112$⨓$2506$)≹⇙⪍($2264$⊴$1773$)⪨≂(($5215$↛⩡⫤)↛⩡⫤))⊴(((⪲⇎$1217$)⫸⊐(⩦⩻⨪$5183$))⨽(($4669$⊪)⇼⇔∾($2216$⪒$1418$)))","expression":"((⫖↰⪸1974⨓⫖↰⪸154A)≹⇙⪍(⫖↰⪸1388⊴⫖↰⪸1039)⪨≂((⫖↰⪸3027↛⩡⫤)↛⩡⫤))⊴(((⪲⇎⫖↰⪸855)⫸⊐(⩦⩻⨪⫖↰⪸2BBB))⨽((⫖↰⪸2851⊪)⇼⇔∾(⫖↰⪸1348⪒⫖↰⪸9A2)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2392450,"operation_count":14,"complexity_ratio":170889.2857142857,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3112,"base":12},"right_expr":{"type":"numeric_atoms","value":2506,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2264,"base":12},"right_expr":{"type":"numeric_atoms","value":1773,"base":12}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5215,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1217,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5183,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4669,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2216,"base":12},"right_expr":{"type":"numeric_atoms","value":1418,"base":12}}}}},"used_operators":["Nsiff2A1zJ","sdazOOVcIp","AHs5Up7iyr","3ViojmjbAp","FU0Cs4j7VP","8HhzD0ZcuI","mqXw5SEYmG","XPYlsWDdGa","2td37pGCOC","tifHPKVTfV","zVYPLywUTj","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3112","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=2506, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2509","layer":3},{"info":"number node, value=2264","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=1773, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2509, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5215","layer":4},{"info":"compute unary expreesion, input=5215, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-783554","layer":3},{"info":"compute unary expreesion, input=-783554, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=309","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=309, op_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=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2434","layer":3},{"info":"number node, value=5183","layer":4},{"info":"compute unary expreesion, input=5183, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5183","layer":3},{"info":"compute binary expreesion, left_input=2434, right_input=5183, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20607","layer":2},{"info":"number node, value=4669","layer":4},{"info":"compute unary expreesion, input=4669, 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=2216","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=1418, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3634","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3634, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3634","layer":2},{"info":"compute binary expreesion, left_input=20607, right_input=-3634, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1273933131","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1273933131, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1974⨓⫖↰⪸154A)≹⇙⪍(⫖↰⪸1388⊴⫖↰⪸1039)⪨≂((⫖↰⪸3027↛⩡⫤)↛⩡⫤))⊴(((⪲⇎⫖↰⪸855)⫸⊐(⩦⩻⨪⫖↰⪸2BBB))⨽((⫖↰⪸2851⊪)⇼⇔∾(⫖↰⪸1348⪒⫖↰⪸9A2)))=NaN","reverse_text":"NaN=((⫖↰⪸1974⨓⫖↰⪸154A)≹⇙⪍(⫖↰⪸1388⊴⫖↰⪸1039)⪨≂((⫖↰⪸3027↛⩡⫤)↛⩡⫤))⊴(((⪲⇎⫖↰⪸855)⫸⊐(⩦⩻⨪⫖↰⪸2BBB))⨽((⫖↰⪸2851⊪)⇼⇔∾(⫖↰⪸1348⪒⫖↰⪸9A2)))","cot":[{"info":"⫖↰⪸1974⨓⫖↰⪸154A=⫖↰⪸-1551","layer":3},{"info":"⫖↰⪸1388⊴⫖↰⪸1039=NaN","layer":3},{"info":"⫖↰⪸-1551≹⇙⪍NaN=NaN","layer":2},{"info":"⫖↰⪸3027↛⩡⫤=⫖↰⪸-319542","layer":3},{"info":"⫖↰⪸-319542↛⩡⫤=⫖↰⪸219","layer":2},{"info":"NaN⪨≂⫖↰⪸219=NaN","layer":1},{"info":"⪲⇎⫖↰⪸855=⫖↰⪸14AA","layer":3},{"info":"⩦⩻⨪⫖↰⪸2BBB=⫖↰⪸2BBB","layer":3},{"info":"⫖↰⪸14AA⫸⊐⫖↰⪸2BBB=⫖↰⪸BB13","layer":2},{"info":"⫖↰⪸2851⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1348⪒⫖↰⪸9A2=⫖↰⪸-212A","layer":3},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸-212A=⫖↰⪸-212A","layer":2},{"info":"⫖↰⪸BB13⨽⫖↰⪸-212A=⫖↰⪸-2B67799A3","layer":1},{"info":"NaN⊴⫖↰⪸-2B67799A3=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"(($5016$↬$1002$-($5668$+$2212$))⩨(∂$1828$⪮%⊝$2901$))∑⇟⊟(↔(($1453$↪⪝)⫥∨⫟($1287$≫≃)))","expression":"((⫖↰⪸2AA0↬⫖↰⪸6B6-(⫖↰⪸3344+⫖↰⪸1344))⩨(∂⫖↰⪸1084⪮%⊝⫖↰⪸1819))∑⇟⊟(↔((⫖↰⪸A11↪⪝)⫥∨⫟(⫖↰⪸8B3≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18856,"operation_count":11,"complexity_ratio":1714.1818181818182,"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":5016,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5668,"base":12},"right_expr":{"type":"numeric_atoms","value":2212,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1828,"base":12},"right_expr":{"type":"numeric_atoms","value":2901,"base":12}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1453,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1287,"base":12}}}}},"used_operators":["U7g4x0WXJJ","2DlMacCsIx","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","Uaa54Peajs","IWmyXbctLI","ruOEQAzv1W","KYD54nUTWz","l07mrZUIn9","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5016","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=5016, right_input=1002, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5668","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=5668, right_input=2212, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7880","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7880, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1828","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=2901, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3972","layer":3},{"info":"compute unary expreesion, input=3972, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=88897446","layer":3},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3975","layer":3},{"info":"compute binary expreesion, left_input=88897446, right_input=3975, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, 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":"((⫖↰⪸2AA0↬⫖↰⪸6B6-(⫖↰⪸3344+⫖↰⪸1344))⩨(∂⫖↰⪸1084⪮%⊝⫖↰⪸1819))∑⇟⊟(↔((⫖↰⪸A11↪⪝)⫥∨⫟(⫖↰⪸8B3≫≃)))=NaN","reverse_text":"NaN=((⫖↰⪸2AA0↬⫖↰⪸6B6-(⫖↰⪸3344+⫖↰⪸1344))⩨(∂⫖↰⪸1084⪮%⊝⫖↰⪸1819))∑⇟⊟(↔((⫖↰⪸A11↪⪝)⫥∨⫟(⫖↰⪸8B3≫≃)))","cot":[{"info":"⫖↰⪸2AA0↬⫖↰⪸6B6=NaN","layer":3},{"info":"⫖↰⪸3344+⫖↰⪸1344=⫖↰⪸4688","layer":3},{"info":"NaN-⫖↰⪸4688=NaN","layer":2},{"info":"⫖↰⪸1084⪮%⊝⫖↰⪸1819=⫖↰⪸2370","layer":3},{"info":"∂⫖↰⪸2370=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫖↰⪸A11↪⪝=⫖↰⪸25931346","layer":3},{"info":"⫖↰⪸8B3≫≃=⫖↰⪸2373","layer":3},{"info":"⫖↰⪸25931346⫥∨⫟⫖↰⪸2373=NaN","layer":2},{"info":"↔NaN=⫖↰⪸-B2","layer":1},{"info":"NaN∑⇟⊟⫖↰⪸-B2=NaN","layer":0}]}
{"id":985,"expression_no_base_symbol":"((($2356$⩠)⪄$1267$⫸⊐$1329$)≦≮≮)⨽(↯⪼(-$2240$⪘⫢$3408$))","expression":"(((⫖↰⪸1444⩠)⪄⫖↰⪸897⫸⊐⫖↰⪸929)≦≮≮)⨽(↯⪼(-⫖↰⪸1368⪘⫢⫖↰⪸1B80))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50666,"operation_count":8,"complexity_ratio":6333.25,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2356,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1267,"base":12},"right_expr":{"type":"numeric_atoms","value":1329,"base":12}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2240,"base":12},"right_expr":{"type":"numeric_atoms","value":3408,"base":12}}}}},"used_operators":["8HhzD0ZcuI","D4vGDi5EA2","SUmda5xLS4","sJAwomhLZr","mqXw5SEYmG","8jW3W4yZS5","t8gj7n24qd","oacrs7FA3X"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2356","layer":4},{"info":"compute unary expreesion, input=2356, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=1329, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5191","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5191, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-16853","layer":2},{"info":"compute unary expreesion, input=-16853, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=50559","layer":1},{"info":"number node, value=2240","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=3408, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4356","layer":3},{"info":"compute unary expreesion, input=4356, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4356","layer":2},{"info":"compute unary expreesion, input=-4356, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7795","layer":1},{"info":"compute binary expreesion, left_input=50559, right_input=7795, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1444⩠)⪄⫖↰⪸897⫸⊐⫖↰⪸929)≦≮≮)⨽(↯⪼(-⫖↰⪸1368⪘⫢⫖↰⪸1B80))=-Inf","reverse_text":"-Inf=(((⫖↰⪸1444⩠)⪄⫖↰⪸897⫸⊐⫖↰⪸929)≦≮≮)⨽(↯⪼(-⫖↰⪸1368⪘⫢⫖↰⪸1B80))","cot":[{"info":"⫖↰⪸1444⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸897⫸⊐⫖↰⪸929=⫖↰⪸3007","layer":3},{"info":"⫖↰⪸0⪄⫖↰⪸3007=⫖↰⪸-9905","layer":2},{"info":"⫖↰⪸-9905≦≮≮=⫖↰⪸25313","layer":1},{"info":"⫖↰⪸1368⪘⫢⫖↰⪸1B80=⫖↰⪸2630","layer":3},{"info":"-⫖↰⪸2630=⫖↰⪸-2630","layer":2},{"info":"↯⪼⫖↰⪸-2630=⫖↰⪸4617","layer":1},{"info":"⫖↰⪸25313⨽⫖↰⪸4617=-Inf","layer":0}]}
{"id":986,"expression_no_base_symbol":"((($1809$⨐⩸⫘$1828$)⋥≓≎$4567$≧⫂∧$2096$)∧)⫥∨⫟(($4695$≧⫂∧$1261$⫌⩹⨱)↙(($1263$↛⩡⫤)⫡⨏$1068$↺$4040$))","expression":"(((⫖↰⪸1069⨐⩸⫘⫖↰⪸1084)⋥≓≎⫖↰⪸2787≧⫂∧⫖↰⪸1268)∧)⫥∨⫟((⫖↰⪸2873≧⫂∧⫖↰⪸891⫌⩹⨱)↙((⫖↰⪸893↛⩡⫤)⫡⨏⫖↰⪸750↺⫖↰⪸2408))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":929652,"operation_count":11,"complexity_ratio":84513.81818181818,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1809,"base":12},"right_expr":{"type":"numeric_atoms","value":1828,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4567,"base":12},"right_expr":{"type":"numeric_atoms","value":2096,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4695,"base":12},"right_expr":{"type":"numeric_atoms","value":1261,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1263,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1068,"base":12},"right_expr":{"type":"numeric_atoms","value":4040,"base":12}}}}},"used_operators":["KYD54nUTWz","z63VuFQld9","Qy55tPpLXF","fu6greOZ01","Ph9nP6C5qx","yyfyN0ffXY","EBcxylXtPf","QMFrweE19q","FU0Cs4j7VP","7j4O788W3g"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1828, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4567","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=4567, 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=nan, right_input=1623, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=-134","layer":1},{"info":"number node, value=4695","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=4695, right_input=1261, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=788","layer":3},{"info":"compute unary expreesion, input=788, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=2977","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":"number node, value=1068","layer":4},{"info":"number node, value=4040","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=4040, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4040","layer":3},{"info":"compute binary expreesion, left_input=-186802, right_input=4040, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-925147","layer":2},{"info":"compute binary expreesion, left_input=2977, right_input=-925147, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2775441","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-2775441, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1069⨐⩸⫘⫖↰⪸1084)⋥≓≎⫖↰⪸2787≧⫂∧⫖↰⪸1268)∧)⫥∨⫟((⫖↰⪸2873≧⫂∧⫖↰⪸891⫌⩹⨱)↙((⫖↰⪸893↛⩡⫤)⫡⨏⫖↰⪸750↺⫖↰⪸2408))=NaN","reverse_text":"NaN=(((⫖↰⪸1069⨐⩸⫘⫖↰⪸1084)⋥≓≎⫖↰⪸2787≧⫂∧⫖↰⪸1268)∧)⫥∨⫟((⫖↰⪸2873≧⫂∧⫖↰⪸891⫌⩹⨱)↙((⫖↰⪸893↛⩡⫤)⫡⨏⫖↰⪸750↺⫖↰⪸2408))","cot":[{"info":"⫖↰⪸1069⨐⩸⫘⫖↰⪸1084=NaN","layer":3},{"info":"⫖↰⪸2787≧⫂∧⫖↰⪸1268=⫖↰⪸B33","layer":3},{"info":"NaN⋥≓≎⫖↰⪸B33=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57∧=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸2873≧⫂∧⫖↰⪸891=⫖↰⪸558","layer":3},{"info":"⫖↰⪸558⫌⩹⨱=⫖↰⪸1881","layer":2},{"info":"⫖↰⪸893↛⩡⫤=⫖↰⪸-9012A","layer":3},{"info":"⫖↰⪸750↺⫖↰⪸2408=⫖↰⪸2408","layer":3},{"info":"⫖↰⪸-9012A⫡⨏⫖↰⪸2408=⫖↰⪸-387477","layer":2},{"info":"⫖↰⪸1881↙⫖↰⪸-387477=⫖↰⪸-B1A1A9","layer":1},{"info":"⫖↰⪸-B2⫥∨⫟⫖↰⪸-B1A1A9=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(≉(($1243$⋷$2068$)-$3835$%$1223$))⨵⪆($1497$⪒$2800$)∼($3135$∸)⊭↱($3339$⨐⩸⫘$1007$⩨(⨑⩽⪐$5669$))","expression":"(≉((⫖↰⪸877⋷⫖↰⪸1244)-⫖↰⪸2277%⫖↰⪸85B))⨵⪆(⫖↰⪸A49⪒⫖↰⪸1754)∼(⫖↰⪸1993∸)⊭↱(⫖↰⪸1B23⨐⩸⫘⫖↰⪸6BB⩨(⨑⩽⪐⫖↰⪸3345))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1017,"operation_count":12,"complexity_ratio":84.75,"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":1243,"base":12},"right_expr":{"type":"numeric_atoms","value":2068,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3835,"base":12},"right_expr":{"type":"numeric_atoms","value":1223,"base":12}}}},"right_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":2800,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3135,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3339,"base":12},"right_expr":{"type":"numeric_atoms","value":1007,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5669,"base":12}}}}},"used_operators":["2DQ55sFlQl","e1ybzncUwg","rysDP5nf3Z","23Mk6UjR3U","k8jYdgA6NY","COABgblf1C","DyGG3AbaNP","f6k1SAg4EE","o20kRiQErp","2DlMacCsIx","fu6greOZ01","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=2068, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2893","layer":3},{"info":"number node, value=3835","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=1223, op_id = k8jYdgA6NY binary_op_definition= 'None', output=166","layer":3},{"info":"compute binary expreesion, left_input=2893, right_input=166, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2727","layer":2},{"info":"compute unary expreesion, input=2727, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3258","layer":1},{"info":"number node, value=1497","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=2800, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4297","layer":3},{"info":"number node, value=3135","layer":4},{"info":"compute unary expreesion, input=3135, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-4297, right_input=177, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=3339","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=1007, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5669","layer":4},{"info":"compute unary expreesion, input=5669, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5396","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5396, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3258, 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":"(≉((⫖↰⪸877⋷⫖↰⪸1244)-⫖↰⪸2277%⫖↰⪸85B))⨵⪆(⫖↰⪸A49⪒⫖↰⪸1754)∼(⫖↰⪸1993∸)⊭↱(⫖↰⪸1B23⨐⩸⫘⫖↰⪸6BB⩨(⨑⩽⪐⫖↰⪸3345))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(≉((⫖↰⪸877⋷⫖↰⪸1244)-⫖↰⪸2277%⫖↰⪸85B))⨵⪆(⫖↰⪸A49⪒⫖↰⪸1754)∼(⫖↰⪸1993∸)⊭↱(⫖↰⪸1B23⨐⩸⫘⫖↰⪸6BB⩨(⨑⩽⪐⫖↰⪸3345))","cot":[{"info":"⫖↰⪸877⋷⫖↰⪸1244=⫖↰⪸1811","layer":3},{"info":"⫖↰⪸2277%⫖↰⪸85B=⫖↰⪸11A","layer":3},{"info":"⫖↰⪸1811-⫖↰⪸11A=⫖↰⪸16B3","layer":2},{"info":"≉⫖↰⪸16B3=⫖↰⪸1A76","layer":1},{"info":"⫖↰⪸A49⪒⫖↰⪸1754=⫖↰⪸-25A1","layer":3},{"info":"⫖↰⪸1993∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸-25A1∼⫖↰⪸129=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B23⨐⩸⫘⫖↰⪸6BB=NaN","layer":3},{"info":"⨑⩽⪐⫖↰⪸3345=⫖↰⪸-3158","layer":3},{"info":"NaN⩨⫖↰⪸-3158=NaN","layer":2},{"info":"⫖↰⪸0⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸1A76⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":988,"expression_no_base_symbol":"((($2037$⨵⪆$2978$)⫸⊐$2835$≧⫂∧$2969$)⪘⫢($1680$∑⇟⊟$1701$⩷∴($2144$⋷$7653$)))∀⇚≩((($2005$⇋≉)↪⪝)⋓(↽≂($3452$-$3696$)))","expression":"(((⫖↰⪸1219⨵⪆⫖↰⪸1882)⫸⊐⫖↰⪸1783≧⫂∧⫖↰⪸1875)⪘⫢(⫖↰⪸B80∑⇟⊟⫖↰⪸B99⩷∴(⫖↰⪸12A8⋷⫖↰⪸4519)))∀⇚≩(((⫖↰⪸11B1⇋≉)↪⪝)⋓(↽≂(⫖↰⪸1BB8-⫖↰⪸2180)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":746,"operation_count":13,"complexity_ratio":57.38461538461539,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2037,"base":12},"right_expr":{"type":"numeric_atoms","value":2978,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2835,"base":12},"right_expr":{"type":"numeric_atoms","value":2969,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1680,"base":12},"right_expr":{"type":"numeric_atoms","value":1701,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2144,"base":12},"right_expr":{"type":"numeric_atoms","value":7653,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2005,"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":3696,"base":12}}}}},"used_operators":["LRNGc0VcxI","oacrs7FA3X","mqXw5SEYmG","2DQ55sFlQl","Ph9nP6C5qx","9FxExcQeMw","U7g4x0WXJJ","23Mk6UjR3U","T2fj7uvVaJ","l07mrZUIn9","XIabStNQrY","u6S6b8DprG","rysDP5nf3Z"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2037","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=2978, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2835","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=2969, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2496","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2496, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":2},{"info":"number node, value=1680","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=1701, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2144","layer":4},{"info":"number node, value=7653","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=7653, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13162","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13162, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=2005","layer":4},{"info":"compute unary expreesion, input=2005, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3912","layer":3},{"info":"compute unary expreesion, input=3912, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=239343984","layer":2},{"info":"number node, value=3452","layer":4},{"info":"number node, value=3696","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=3696, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=488","layer":2},{"info":"compute binary expreesion, left_input=239343984, right_input=488, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"(((⫖↰⪸1219⨵⪆⫖↰⪸1882)⫸⊐⫖↰⪸1783≧⫂∧⫖↰⪸1875)⪘⫢(⫖↰⪸B80∑⇟⊟⫖↰⪸B99⩷∴(⫖↰⪸12A8⋷⫖↰⪸4519)))∀⇚≩(((⫖↰⪸11B1⇋≉)↪⪝)⋓(↽≂(⫖↰⪸1BB8-⫖↰⪸2180)))=NaN","reverse_text":"NaN=(((⫖↰⪸1219⨵⪆⫖↰⪸1882)⫸⊐⫖↰⪸1783≧⫂∧⫖↰⪸1875)⪘⫢(⫖↰⪸B80∑⇟⊟⫖↰⪸B99⩷∴(⫖↰⪸12A8⋷⫖↰⪸4519)))∀⇚≩(((⫖↰⪸11B1⇋≉)↪⪝)⋓(↽≂(⫖↰⪸1BB8-⫖↰⪸2180)))","cot":[{"info":"⫖↰⪸1219⨵⪆⫖↰⪸1882=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1783≧⫂∧⫖↰⪸1875=⫖↰⪸1540","layer":3},{"info":"⫖↰⪸114⫸⊐⫖↰⪸1540=⫖↰⪸228","layer":2},{"info":"⫖↰⪸B80∑⇟⊟⫖↰⪸B99=NaN","layer":3},{"info":"⫖↰⪸12A8⋷⫖↰⪸4519=⫖↰⪸774A","layer":3},{"info":"NaN⩷∴⫖↰⪸774A=NaN","layer":2},{"info":"⫖↰⪸228⪘⫢NaN=NaN","layer":1},{"info":"⫖↰⪸11B1⇋≉=⫖↰⪸2320","layer":3},{"info":"⫖↰⪸2320↪⪝=⫖↰⪸681A5300","layer":2},{"info":"⫖↰⪸1BB8-⫖↰⪸2180=⫖↰⪸-184","layer":3},{"info":"↽≂⫖↰⪸-184=⫖↰⪸348","layer":2},{"info":"⫖↰⪸681A5300⋓⫖↰⪸348=⫖↰⪸0","layer":1},{"info":"NaN∀⇚≩⫖↰⪸0=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"$4458$⊴$5987$⨳⩥⨓(⫓⪴$2374$)↺(($6863$⋫)⨳⩥⨓($5092$%$3721$))⊭↱((($2587$⊉≛↸$1726$)⨁⊸⫻)⩤)","expression":"⫖↰⪸26B6⊴⫖↰⪸356B⨳⩥⨓(⫓⪴⫖↰⪸145A)↺((⫖↰⪸3B7B⋫)⨳⩥⨓(⫖↰⪸2B44%⫖↰⪸21A1))⊭↱(((⫖↰⪸15B7⊉≛↸⫖↰⪸BBA)⨁⊸⫻)⩤)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15249,"operation_count":11,"complexity_ratio":1386.2727272727273,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4458,"base":12},"right_expr":{"type":"numeric_atoms","value":5987,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2374,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6863,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5092,"base":12},"right_expr":{"type":"numeric_atoms","value":3721,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2587,"base":12},"right_expr":{"type":"numeric_atoms","value":1726,"base":12}}}}},"used_operators":["COABgblf1C","7j4O788W3g","nCS4ZIUYfx","Nsiff2A1zJ","eLxqMNBOBk","JL8yIekQnl","k8jYdgA6NY","Z2TMIBDE3Q","glklzrTFfD","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸455","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4458","layer":4},{"info":"number node, value=5987","layer":4},{"info":"compute binary expreesion, left_input=4458, right_input=5987, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2374","layer":4},{"info":"compute unary expreesion, input=2374, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5635876","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5635876, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=6863","layer":4},{"info":"compute unary expreesion, input=6863, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6863","layer":3},{"info":"number node, value=5092","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=5092, right_input=3721, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1371","layer":3},{"info":"compute binary expreesion, left_input=6863, right_input=1371, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5492","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5492, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5492","layer":1},{"info":"number node, value=2587","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=2587, right_input=1726, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5174","layer":3},{"info":"compute unary expreesion, input=5174, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5174","layer":2},{"info":"compute unary expreesion, input=5174, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5174","layer":1},{"info":"compute binary expreesion, left_input=-5492, right_input=-5174, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=641","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸26B6⊴⫖↰⪸356B⨳⩥⨓(⫓⪴⫖↰⪸145A)↺((⫖↰⪸3B7B⋫)⨳⩥⨓(⫖↰⪸2B44%⫖↰⪸21A1))⊭↱(((⫖↰⪸15B7⊉≛↸⫖↰⪸BBA)⨁⊸⫻)⩤)=⫖↰⪸455","reverse_text":"⫖↰⪸455=⫖↰⪸26B6⊴⫖↰⪸356B⨳⩥⨓(⫓⪴⫖↰⪸145A)↺((⫖↰⪸3B7B⋫)⨳⩥⨓(⫖↰⪸2B44%⫖↰⪸21A1))⊭↱(((⫖↰⪸15B7⊉≛↸⫖↰⪸BBA)⨁⊸⫻)⩤)","cot":[{"info":"⫖↰⪸26B6⊴⫖↰⪸356B=NaN","layer":3},{"info":"⫓⪴⫖↰⪸145A=⫖↰⪸1A79604","layer":3},{"info":"NaN⨳⩥⨓⫖↰⪸1A79604=NaN","layer":2},{"info":"⫖↰⪸3B7B⋫=⫖↰⪸3B7B","layer":3},{"info":"⫖↰⪸2B44%⫖↰⪸21A1=⫖↰⪸963","layer":3},{"info":"⫖↰⪸3B7B⨳⩥⨓⫖↰⪸963=⫖↰⪸-3218","layer":2},{"info":"NaN↺⫖↰⪸-3218=⫖↰⪸-3218","layer":1},{"info":"⫖↰⪸15B7⊉≛↸⫖↰⪸BBA=⫖↰⪸2BB2","layer":3},{"info":"⫖↰⪸2BB2⨁⊸⫻=⫖↰⪸2BB2","layer":2},{"info":"⫖↰⪸2BB2⩤=⫖↰⪸-2BB2","layer":1},{"info":"⫖↰⪸-3218⊭↱⫖↰⪸-2BB2=⫖↰⪸455","layer":0}]}
{"id":990,"expression_no_base_symbol":"($1478$≎⊠⪸$5336$↛⩡⫤)⫥∨⫟$1354$⨓$1104$≭($5653$⊭∹↮)⨸⪁($1656$⨪↰⇹$5295$⋥≓≎$6055$⩷∴$3246$)⋥≓≎($3013$*$3175$+($1200$⊘))","expression":"(⫖↰⪸A32≎⊠⪸⫖↰⪸3108↛⩡⫤)⫥∨⫟⫖↰⪸94A⨓⫖↰⪸780≭(⫖↰⪸3331⊭∹↮)⨸⪁(⫖↰⪸B60⨪↰⇹⫖↰⪸3093⋥≓≎⫖↰⪸3607⩷∴⫖↰⪸1A66)⋥≓≎(⫖↰⪸18B1*⫖↰⪸1A07+(⫖↰⪸840⊘))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1153368,"operation_count":14,"complexity_ratio":82383.42857142857,"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":1478,"base":12},"right_expr":{"type":"numeric_atoms","value":5336,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1354,"base":12},"right_expr":{"type":"numeric_atoms","value":1104,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5653,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1656,"base":12},"right_expr":{"type":"numeric_atoms","value":5295,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6055,"base":12},"right_expr":{"type":"numeric_atoms","value":3246,"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":3175,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1200,"base":12}}}}},"used_operators":["g55IO6H4Gj","KYD54nUTWz","FU0Cs4j7VP","bJkvcejdHO","rxpJgHHUmx","3ViojmjbAp","xNBdhnnwKq","Qy55tPpLXF","tmPS8pqC7x","9FxExcQeMw","W4YGzv6Whe","9HNa5Wba9A","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":4},{"info":"number node, value=5336","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=5336, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=382329","layer":3},{"info":"compute unary expreesion, input=382329, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-57727768","layer":2},{"info":"number node, value=1354","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1104, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1107","layer":3},{"info":"number node, value=5653","layer":4},{"info":"compute unary expreesion, input=5653, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=11306","layer":3},{"info":"compute binary expreesion, left_input=-1107, right_input=11306, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-57727768, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1656","layer":4},{"info":"number node, value=5295","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=5295, 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=1656","layer":3},{"info":"number node, value=6055","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=6055, right_input=3246, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5586","layer":3},{"info":"compute binary expreesion, left_input=1656, right_input=5586, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9549","layer":2},{"info":"number node, value=3013","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=3013, right_input=3175, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9566275","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9566275, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9566275","layer":2},{"info":"compute binary expreesion, left_input=9549, right_input=9566275, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=19123034","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19123034, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A32≎⊠⪸⫖↰⪸3108↛⩡⫤)⫥∨⫟⫖↰⪸94A⨓⫖↰⪸780≭(⫖↰⪸3331⊭∹↮)⨸⪁(⫖↰⪸B60⨪↰⇹⫖↰⪸3093⋥≓≎⫖↰⪸3607⩷∴⫖↰⪸1A66)⋥≓≎(⫖↰⪸18B1*⫖↰⪸1A07+(⫖↰⪸840⊘))=NaN","reverse_text":"NaN=(⫖↰⪸A32≎⊠⪸⫖↰⪸3108↛⩡⫤)⫥∨⫟⫖↰⪸94A⨓⫖↰⪸780≭(⫖↰⪸3331⊭∹↮)⨸⪁(⫖↰⪸B60⨪↰⇹⫖↰⪸3093⋥≓≎⫖↰⪸3607⩷∴⫖↰⪸1A66)⋥≓≎(⫖↰⪸18B1*⫖↰⪸1A07+(⫖↰⪸840⊘))","cot":[{"info":"⫖↰⪸A32≎⊠⪸⫖↰⪸3108=⫖↰⪸165309","layer":3},{"info":"⫖↰⪸165309↛⩡⫤=⫖↰⪸-173BB334","layer":2},{"info":"⫖↰⪸94A⨓⫖↰⪸780=⫖↰⪸-783","layer":3},{"info":"⫖↰⪸3331⊭∹↮=⫖↰⪸6662","layer":3},{"info":"⫖↰⪸-783≭⫖↰⪸6662=NaN","layer":2},{"info":"⫖↰⪸-173BB334⫥∨⫟NaN=NaN","layer":1},{"info":"⫖↰⪸B60⨪↰⇹⫖↰⪸3093=⫖↰⪸B60","layer":3},{"info":"⫖↰⪸3607⩷∴⫖↰⪸1A66=⫖↰⪸3296","layer":3},{"info":"⫖↰⪸B60⋥≓≎⫖↰⪸3296=⫖↰⪸5639","layer":2},{"info":"⫖↰⪸18B1*⫖↰⪸1A07=⫖↰⪸3254057","layer":3},{"info":"⫖↰⪸840⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3254057+⫖↰⪸0=⫖↰⪸3254057","layer":2},{"info":"⫖↰⪸5639⋥≓≎⫖↰⪸3254057=⫖↰⪸64A26A2","layer":1},{"info":"NaN⨸⪁⫖↰⪸64A26A2=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"≉(⊄⩳↩($2916$⫥∨⫟$1170$*($7619$⨸⪁$5714$)))","expression":"≉(⊄⩳↩(⫖↰⪸1830⫥∨⫟⫖↰⪸816*(⫖↰⪸44AB⨸⪁⫖↰⪸3382)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":162,"operation_count":5,"complexity_ratio":32.4,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2916,"base":12},"right_expr":{"type":"numeric_atoms","value":1170,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7619,"base":12},"right_expr":{"type":"numeric_atoms","value":5714,"base":12}}}}},"used_operators":["e1ybzncUwg","8w2t5hMYqp","9HNa5Wba9A","KYD54nUTWz","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2916","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=1170, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7619","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=7619, right_input=5714, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=26666","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26666, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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 unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉(⊄⩳↩(⫖↰⪸1830⫥∨⫟⫖↰⪸816*(⫖↰⪸44AB⨸⪁⫖↰⪸3382)))=NaN","reverse_text":"NaN=≉(⊄⩳↩(⫖↰⪸1830⫥∨⫟⫖↰⪸816*(⫖↰⪸44AB⨸⪁⫖↰⪸3382)))","cot":[{"info":"⫖↰⪸1830⫥∨⫟⫖↰⪸816=NaN","layer":3},{"info":"⫖↰⪸44AB⨸⪁⫖↰⪸3382=⫖↰⪸13522","layer":3},{"info":"NaN*⫖↰⪸13522=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"⩦⩻⨪(($1234$⊉≛↸$1737$)∼($2574$⨐⩸⫘$6026$)⩨($1181$⊘)⨎$1408$≭$1024$)","expression":"⩦⩻⨪((⫖↰⪸86A⊉≛↸⫖↰⪸1009)∼(⫖↰⪸15A6⨐⩸⫘⫖↰⪸35A2)⩨(⫖↰⪸825⊘)⨎⫖↰⪸994≭⫖↰⪸714)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":81,"operation_count":8,"complexity_ratio":10.125,"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":1234,"base":12},"right_expr":{"type":"numeric_atoms","value":1737,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2574,"base":12},"right_expr":{"type":"numeric_atoms","value":6026,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1181,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1408,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}}}}},"used_operators":["2td37pGCOC","2DlMacCsIx","DyGG3AbaNP","DZ8iAZOCBD","fu6greOZ01","rJVOvQCfKK","gu96TGCTMs","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1234","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1737, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2468","layer":3},{"info":"number node, value=2574","layer":4},{"info":"number node, value=6026","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=6026, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2468, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1408","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=1024, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪((⫖↰⪸86A⊉≛↸⫖↰⪸1009)∼(⫖↰⪸15A6⨐⩸⫘⫖↰⪸35A2)⩨(⫖↰⪸825⊘)⨎⫖↰⪸994≭⫖↰⪸714)=NaN","reverse_text":"NaN=⩦⩻⨪((⫖↰⪸86A⊉≛↸⫖↰⪸1009)∼(⫖↰⪸15A6⨐⩸⫘⫖↰⪸35A2)⩨(⫖↰⪸825⊘)⨎⫖↰⪸994≭⫖↰⪸714)","cot":[{"info":"⫖↰⪸86A⊉≛↸⫖↰⪸1009=⫖↰⪸1518","layer":3},{"info":"⫖↰⪸15A6⨐⩸⫘⫖↰⪸35A2=NaN","layer":3},{"info":"⫖↰⪸1518∼NaN=NaN","layer":2},{"info":"⫖↰⪸825⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸994≭⫖↰⪸714=NaN","layer":3},{"info":"⫖↰⪸0⨎NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"((($1319$⩤)↙$1745$⨐⩸⫘$4908$)⫥∨⫟($1385$⋥≓≎$1317$)⪛$2444$⊴$1745$)↬((($1144$⪒$7318$)⇷($3093$≭$1436$))∧)","expression":"(((⫖↰⪸91B⩤)↙⫖↰⪸1015⨐⩸⫘⫖↰⪸2A10)⫥∨⫟(⫖↰⪸975⋥≓≎⫖↰⪸919)⪛⫖↰⪸14B8⊴⫖↰⪸1015)↬(((⫖↰⪸7B4⪒⫖↰⪸429A)⇷(⫖↰⪸1959≭⫖↰⪸9B8))∧)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":121659,"operation_count":12,"complexity_ratio":10138.25,"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":1319,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1745,"base":12},"right_expr":{"type":"numeric_atoms","value":4908,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1385,"base":12},"right_expr":{"type":"numeric_atoms","value":1317,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2444,"base":12},"right_expr":{"type":"numeric_atoms","value":1745,"base":12}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":7318,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3093,"base":12},"right_expr":{"type":"numeric_atoms","value":1436,"base":12}}}}},"used_operators":["B5M0gjZbta","KYD54nUTWz","yyfyN0ffXY","Z2TMIBDE3Q","fu6greOZ01","uFcxV4UQCh","Qy55tPpLXF","Nsiff2A1zJ","z63VuFQld9","mp7IySMOzn","f6k1SAg4EE","rxpJgHHUmx"],"dependent_operators":["rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1319","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=4908","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=4908, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-1319, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1319","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1317, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1282","layer":3},{"info":"number node, value=2444","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=1745, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1282, 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=-1319, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1144","layer":4},{"info":"number node, value=7318","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=7318, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8462","layer":3},{"info":"number node, value=3093","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=1436, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-8462, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"(((⫖↰⪸91B⩤)↙⫖↰⪸1015⨐⩸⫘⫖↰⪸2A10)⫥∨⫟(⫖↰⪸975⋥≓≎⫖↰⪸919)⪛⫖↰⪸14B8⊴⫖↰⪸1015)↬(((⫖↰⪸7B4⪒⫖↰⪸429A)⇷(⫖↰⪸1959≭⫖↰⪸9B8))∧)=NaN","reverse_text":"NaN=(((⫖↰⪸91B⩤)↙⫖↰⪸1015⨐⩸⫘⫖↰⪸2A10)⫥∨⫟(⫖↰⪸975⋥≓≎⫖↰⪸919)⪛⫖↰⪸14B8⊴⫖↰⪸1015)↬(((⫖↰⪸7B4⪒⫖↰⪸429A)⇷(⫖↰⪸1959≭⫖↰⪸9B8))∧)","cot":[{"info":"⫖↰⪸91B⩤=⫖↰⪸-91B","layer":3},{"info":"⫖↰⪸1015⨐⩸⫘⫖↰⪸2A10=NaN","layer":3},{"info":"⫖↰⪸-91B↙NaN=⫖↰⪸-91B","layer":2},{"info":"⫖↰⪸975⋥≓≎⫖↰⪸919=⫖↰⪸8AA","layer":3},{"info":"⫖↰⪸14B8⊴⫖↰⪸1015=NaN","layer":3},{"info":"⫖↰⪸8AA⪛NaN=NaN","layer":2},{"info":"⫖↰⪸-91B⫥∨⫟NaN=NaN","layer":1},{"info":"⫖↰⪸7B4⪒⫖↰⪸429A=⫖↰⪸-4A92","layer":3},{"info":"⫖↰⪸1959≭⫖↰⪸9B8=NaN","layer":3},{"info":"⫖↰⪸-4A92⇷NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"(⫓⪴(($6525$≋⫹)⨎($1595$⫡⨏$3713$)))-(($1612$⪨≂$3671$)⊭↱$8531$∼$1516$)≹⇙⪍(⫛⫱⨽(≉$3382$))","expression":"(⫓⪴((⫖↰⪸3939≋⫹)⨎(⫖↰⪸B0B⫡⨏⫖↰⪸2195)))-((⫖↰⪸B24⪨≂⫖↰⪸215B)⊭↱⫖↰⪸4B2B∼⫖↰⪸A64)≹⇙⪍(⫛⫱⨽(≉⫖↰⪸1B5A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17801,"operation_count":11,"complexity_ratio":1618.2727272727273,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6525,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1595,"base":12},"right_expr":{"type":"numeric_atoms","value":3713,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1612,"base":12},"right_expr":{"type":"numeric_atoms","value":3671,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8531,"base":12},"right_expr":{"type":"numeric_atoms","value":1516,"base":12}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3382,"base":12}}}}},"used_operators":["rysDP5nf3Z","eLxqMNBOBk","rJVOvQCfKK","N41Kp7NANJ","QMFrweE19q","AHs5Up7iyr","COABgblf1C","sdazOOVcIp","DyGG3AbaNP","DlLNRPXxWL","e1ybzncUwg"],"dependent_operators":["9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6525","layer":4},{"info":"compute unary expreesion, input=6525, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13050","layer":3},{"info":"number node, value=1595","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=3713, 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=16184","layer":3},{"info":"compute binary expreesion, left_input=-13050, right_input=16184, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=16184","layer":2},{"info":"compute unary expreesion, input=16184, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=261921856","layer":1},{"info":"number node, value=1612","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=3671, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4016","layer":3},{"info":"number node, value=8531","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=8531, right_input=1516, 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=-4016, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3913","layer":3},{"info":"compute unary expreesion, input=3913, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=261921856, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴((⫖↰⪸3939≋⫹)⨎(⫖↰⪸B0B⫡⨏⫖↰⪸2195)))-((⫖↰⪸B24⪨≂⫖↰⪸215B)⊭↱⫖↰⪸4B2B∼⫖↰⪸A64)≹⇙⪍(⫛⫱⨽(≉⫖↰⪸1B5A))=NaN","reverse_text":"NaN=(⫓⪴((⫖↰⪸3939≋⫹)⨎(⫖↰⪸B0B⫡⨏⫖↰⪸2195)))-((⫖↰⪸B24⪨≂⫖↰⪸215B)⊭↱⫖↰⪸4B2B∼⫖↰⪸A64)≹⇙⪍(⫛⫱⨽(≉⫖↰⪸1B5A))","cot":[{"info":"⫖↰⪸3939≋⫹=⫖↰⪸-7676","layer":3},{"info":"⫖↰⪸B0B⫡⨏⫖↰⪸2195=⫖↰⪸9448","layer":3},{"info":"⫖↰⪸-7676⨎⫖↰⪸9448=⫖↰⪸9448","layer":2},{"info":"⫓⪴⫖↰⪸9448=⫖↰⪸73873194","layer":1},{"info":"⫖↰⪸B24⪨≂⫖↰⪸215B=⫖↰⪸-23A8","layer":3},{"info":"⫖↰⪸4B2B∼⫖↰⪸A64=NaN","layer":3},{"info":"⫖↰⪸-23A8⊭↱NaN=NaN","layer":2},{"info":"≉⫖↰⪸1B5A=⫖↰⪸2321","layer":3},{"info":"⫛⫱⨽⫖↰⪸2321=⫖↰⪸0","layer":2},{"info":"NaN≹⇙⪍⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸73873194-NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"↥(↽≂($1256$↙$9122$))≹⇙⪍(($2643$%$1038$)⫥∨⫟($1681$⨽$1096$))","expression":"↥(↽≂(⫖↰⪸888↙⫖↰⪸5342))≹⇙⪍((⫖↰⪸1643%⫖↰⪸726)⫥∨⫟(⫖↰⪸B81⨽⫖↰⪸774))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10976,"operation_count":7,"complexity_ratio":1568.0,"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":1256,"base":12},"right_expr":{"type":"numeric_atoms","value":9122,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2643,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1681,"base":12},"right_expr":{"type":"numeric_atoms","value":1096,"base":12}}}}},"used_operators":["A8NUZmVepG","AHs5Up7iyr","u6S6b8DprG","yyfyN0ffXY","KYD54nUTWz","k8jYdgA6NY","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":4},{"info":"number node, value=9122","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=9122, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27366","layer":3},{"info":"compute unary expreesion, input=-27366, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=54732","layer":2},{"info":"number node, value=2643","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1038, op_id = k8jYdgA6NY binary_op_definition= 'None', output=567","layer":3},{"info":"number node, value=1681","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=1096, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8479257","layer":3},{"info":"compute binary expreesion, left_input=567, right_input=-8479257, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=54732, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↥(↽≂(⫖↰⪸888↙⫖↰⪸5342))≹⇙⪍((⫖↰⪸1643%⫖↰⪸726)⫥∨⫟(⫖↰⪸B81⨽⫖↰⪸774))=NaN","reverse_text":"NaN=↥(↽≂(⫖↰⪸888↙⫖↰⪸5342))≹⇙⪍((⫖↰⪸1643%⫖↰⪸726)⫥∨⫟(⫖↰⪸B81⨽⫖↰⪸774))","cot":[{"info":"⫖↰⪸888↙⫖↰⪸5342=⫖↰⪸-13A06","layer":3},{"info":"↽≂⫖↰⪸-13A06=⫖↰⪸27810","layer":2},{"info":"⫖↰⪸1643%⫖↰⪸726=⫖↰⪸3B3","layer":3},{"info":"⫖↰⪸B81⨽⫖↰⪸774=⫖↰⪸-2A0AB89","layer":3},{"info":"⫖↰⪸3B3⫥∨⫟⫖↰⪸-2A0AB89=NaN","layer":2},{"info":"⫖↰⪸27810≹⇙⪍NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":996,"expression_no_base_symbol":"((⫓⪴($4198$⨵⪆$1193$))⋥≓≎(≦∁$4925$)⋓($7144$≭$5591$))⋓(($6033$⪨≂$6690$)+⇶⊼(↣≠⋷$3153$)⩤)","expression":"((⫓⪴(⫖↰⪸251A⨵⪆⫖↰⪸835))⋥≓≎(≦∁⫖↰⪸2A25)⋓(⫖↰⪸4174≭⫖↰⪸329B))⋓((⫖↰⪸35A9⪨≂⫖↰⪸3A56)+⇶⊼(↣≠⋷⫖↰⪸19A9)⩤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":203,"operation_count":11,"complexity_ratio":18.454545454545453,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4198,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4925,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7144,"base":12},"right_expr":{"type":"numeric_atoms","value":5591,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6033,"base":12},"right_expr":{"type":"numeric_atoms","value":6690,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3153,"base":12}}}}},"used_operators":["T2fj7uvVaJ","Qy55tPpLXF","eLxqMNBOBk","2DQ55sFlQl","9ICcGScMcE","rxpJgHHUmx","Z2TMIBDE3Q","TpPTUOHfaN","sdazOOVcIp","Asc51vEJeQ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4198","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=1193, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25600","layer":2},{"info":"number node, value=4925","layer":4},{"info":"compute unary expreesion, input=4925, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4925","layer":3},{"info":"number node, value=7144","layer":4},{"info":"number node, value=5591","layer":4},{"info":"compute binary expreesion, left_input=7144, right_input=5591, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4925, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=25600, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=6033","layer":4},{"info":"number node, value=6690","layer":4},{"info":"compute binary expreesion, left_input=6033, right_input=6690, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1212","layer":3},{"info":"number node, value=3153","layer":4},{"info":"compute unary expreesion, input=3153, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1212, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴(⫖↰⪸251A⨵⪆⫖↰⪸835))⋥≓≎(≦∁⫖↰⪸2A25)⋓(⫖↰⪸4174≭⫖↰⪸329B))⋓((⫖↰⪸35A9⪨≂⫖↰⪸3A56)+⇶⊼(↣≠⋷⫖↰⪸19A9)⩤)=NaN","reverse_text":"NaN=((⫓⪴(⫖↰⪸251A⨵⪆⫖↰⪸835))⋥≓≎(≦∁⫖↰⪸2A25)⋓(⫖↰⪸4174≭⫖↰⪸329B))⋓((⫖↰⪸35A9⪨≂⫖↰⪸3A56)+⇶⊼(↣≠⋷⫖↰⪸19A9)⩤)","cot":[{"info":"⫖↰⪸251A⨵⪆⫖↰⪸835=⫖↰⪸114","layer":3},{"info":"⫓⪴⫖↰⪸114=⫖↰⪸12994","layer":2},{"info":"≦∁⫖↰⪸2A25=⫖↰⪸2A25","layer":3},{"info":"⫖↰⪸4174≭⫖↰⪸329B=NaN","layer":3},{"info":"⫖↰⪸2A25⋓NaN=NaN","layer":2},{"info":"⫖↰⪸12994⋥≓≎NaN=NaN","layer":1},{"info":"⫖↰⪸35A9⪨≂⫖↰⪸3A56=⫖↰⪸-850","layer":3},{"info":"↣≠⋷⫖↰⪸19A9=NaN","layer":3},{"info":"⫖↰⪸-850+⇶⊼NaN=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"(⊄⩳↩(⊄⩳↩($3746$%$1561$)))⩷∴(($2836$⩤)⨽$2598$⋳⪒$4273$+(($2719$⨸⪁$1757$)⊘))","expression":"(⊄⩳↩(⊄⩳↩(⫖↰⪸2202%⫖↰⪸AA1)))⩷∴((⫖↰⪸1784⩤)⨽⫖↰⪸1606⋳⪒⫖↰⪸2581+((⫖↰⪸16A7⨸⪁⫖↰⪸1025)⊘))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2890,"operation_count":10,"complexity_ratio":289.0,"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":3746,"base":12},"right_expr":{"type":"numeric_atoms","value":1561,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2836,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2598,"base":12},"right_expr":{"type":"numeric_atoms","value":4273,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2719,"base":12},"right_expr":{"type":"numeric_atoms","value":1757,"base":12}}}}},"used_operators":["9FxExcQeMw","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","8HhzD0ZcuI","Z2TMIBDE3Q","12rbrZMWeM","gu96TGCTMs","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"⫖↰⪸141B9A84","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3746","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=1561, op_id = k8jYdgA6NY binary_op_definition= 'None', output=624","layer":3},{"info":"compute unary expreesion, input=624, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-1872","layer":2},{"info":"compute unary expreesion, input=-1872, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=5616","layer":1},{"info":"number node, value=2836","layer":4},{"info":"compute unary expreesion, input=2836, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2836","layer":3},{"info":"number node, value=2598","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=4273, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=636","layer":3},{"info":"compute binary expreesion, left_input=-2836, right_input=636, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24129282","layer":2},{"info":"number node, value=2719","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=1757, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8952","layer":3},{"info":"compute unary expreesion, input=8952, 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=-24129282, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-24129282","layer":1},{"info":"compute binary expreesion, left_input=5616, right_input=-24129282, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=48269764","layer":0}],"base":12,"result_base":12,"text":"(⊄⩳↩(⊄⩳↩(⫖↰⪸2202%⫖↰⪸AA1)))⩷∴((⫖↰⪸1784⩤)⨽⫖↰⪸1606⋳⪒⫖↰⪸2581+((⫖↰⪸16A7⨸⪁⫖↰⪸1025)⊘))=⫖↰⪸141B9A84","reverse_text":"⫖↰⪸141B9A84=(⊄⩳↩(⊄⩳↩(⫖↰⪸2202%⫖↰⪸AA1)))⩷∴((⫖↰⪸1784⩤)⨽⫖↰⪸1606⋳⪒⫖↰⪸2581+((⫖↰⪸16A7⨸⪁⫖↰⪸1025)⊘))","cot":[{"info":"⫖↰⪸2202%⫖↰⪸AA1=⫖↰⪸440","layer":3},{"info":"⊄⩳↩⫖↰⪸440=⫖↰⪸-1100","layer":2},{"info":"⊄⩳↩⫖↰⪸-1100=⫖↰⪸3300","layer":1},{"info":"⫖↰⪸1784⩤=⫖↰⪸-1784","layer":3},{"info":"⫖↰⪸1606⋳⪒⫖↰⪸2581=⫖↰⪸450","layer":3},{"info":"⫖↰⪸-1784⨽⫖↰⪸450=⫖↰⪸-80B7856","layer":2},{"info":"⫖↰⪸16A7⨸⪁⫖↰⪸1025=⫖↰⪸5220","layer":3},{"info":"⫖↰⪸5220⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-80B7856+⫖↰⪸0=⫖↰⪸-80B7856","layer":1},{"info":"⫖↰⪸3300⩷∴⫖↰⪸-80B7856=⫖↰⪸141B9A84","layer":0}]}
{"id":998,"expression_no_base_symbol":"((⪝⪂⫅$2817$)⇷($1103$⩨$6208$))∼(($1864$⋷$2376$)↙$1419$⪛$3719$)⩤","expression":"((⪝⪂⫅⫖↰⪸1769)⇷(⫖↰⪸77B⩨⫖↰⪸3714))∼((⫖↰⪸10B4⋷⫖↰⪸1460)↙⫖↰⪸9A3⪛⫖↰⪸219B)⩤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5798983,"operation_count":8,"complexity_ratio":724872.875,"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":2817,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1103,"base":12},"right_expr":{"type":"numeric_atoms","value":6208,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1864,"base":12},"right_expr":{"type":"numeric_atoms","value":2376,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1419,"base":12},"right_expr":{"type":"numeric_atoms","value":3719,"base":12}}}}},"used_operators":["Z2TMIBDE3Q","DyGG3AbaNP","mp7IySMOzn","XTarYq4gQB","2DlMacCsIx","yyfyN0ffXY","23Mk6UjR3U","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2817","layer":4},{"info":"compute unary expreesion, input=2817, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-414099","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=6208","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=6208, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"compute binary expreesion, left_input=-414099, right_input=-15, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-30","layer":2},{"info":"number node, value=1864","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=2376, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2888","layer":3},{"info":"number node, value=1419","layer":4},{"info":"number node, value=3719","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=3719, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1419","layer":3},{"info":"compute binary expreesion, left_input=2888, right_input=1419, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4257","layer":2},{"info":"compute binary expreesion, left_input=-30, right_input=-4257, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪝⪂⫅⫖↰⪸1769)⇷(⫖↰⪸77B⩨⫖↰⪸3714))∼((⫖↰⪸10B4⋷⫖↰⪸1460)↙⫖↰⪸9A3⪛⫖↰⪸219B)⩤=NaN","reverse_text":"NaN=((⪝⪂⫅⫖↰⪸1769)⇷(⫖↰⪸77B⩨⫖↰⪸3714))∼((⫖↰⪸10B4⋷⫖↰⪸1460)↙⫖↰⪸9A3⪛⫖↰⪸219B)⩤","cot":[{"info":"⪝⪂⫅⫖↰⪸1769=⫖↰⪸-17B783","layer":3},{"info":"⫖↰⪸77B⩨⫖↰⪸3714=⫖↰⪸-13","layer":3},{"info":"⫖↰⪸-17B783⇷⫖↰⪸-13=⫖↰⪸-26","layer":2},{"info":"⫖↰⪸10B4⋷⫖↰⪸1460=⫖↰⪸1808","layer":3},{"info":"⫖↰⪸9A3⪛⫖↰⪸219B=⫖↰⪸9A3","layer":3},{"info":"⫖↰⪸1808↙⫖↰⪸9A3=⫖↰⪸-2569","layer":2},{"info":"⫖↰⪸-26∼⫖↰⪸-2569=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"(($4615$≹⇙⪍$3765$⩠)≋⫹)⨐⩸⫘((≦∁$1441$⇼⇔∾$1024$)⋫)","expression":"((⫖↰⪸2807≹⇙⪍⫖↰⪸2219⩠)≋⫹)⨐⩸⫘((≦∁⫖↰⪸A01⇼⇔∾⫖↰⪸714)⋫)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5009,"operation_count":7,"complexity_ratio":715.5714285714286,"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":4615,"base":12},"right_expr":{"type":"numeric_atoms","value":3765,"base":12}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1441,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}}}}},"used_operators":["fu6greOZ01","N41Kp7NANJ","sJAwomhLZr","AHs5Up7iyr","JL8yIekQnl","9ICcGScMcE","tifHPKVTfV"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","tmPS8pqC7x","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-5A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4615","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=3765, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=1441","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1024, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-417","layer":3},{"info":"compute unary expreesion, input=-417, 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 unary expreesion, input=67, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-70","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2807≹⇙⪍⫖↰⪸2219⩠)≋⫹)⨐⩸⫘((≦∁⫖↰⪸A01⇼⇔∾⫖↰⪸714)⋫)=⫖↰⪸-5A","reverse_text":"⫖↰⪸-5A=((⫖↰⪸2807≹⇙⪍⫖↰⪸2219⩠)≋⫹)⨐⩸⫘((≦∁⫖↰⪸A01⇼⇔∾⫖↰⪸714)⋫)","cot":[{"info":"⫖↰⪸2807≹⇙⪍⫖↰⪸2219=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⫖↰⪸A01⇼⇔∾⫖↰⪸714=⫖↰⪸-2A9","layer":3},{"info":"≦∁⫖↰⪸-2A9=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57⋫=⫖↰⪸57","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸57=⫖↰⪸-5A","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(-(⪲⇎$3076$)⩷∴$1859$∼$5099$)⋥≓≎(↣≠⋷(($1519$⨳⩥⨓$6469$)∀⇚≩(⪲⇎$2539$)))","expression":"(-(⪲⇎⫖↰⪸1944)⩷∴⫖↰⪸10AB∼⫖↰⪸2B4B)⋥≓≎(↣≠⋷((⫖↰⪸A67⨳⩥⨓⫖↰⪸38B1)∀⇚≩(⪲⇎⫖↰⪸1577)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34707,"operation_count":9,"complexity_ratio":3856.3333333333335,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3076,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1859,"base":12},"right_expr":{"type":"numeric_atoms","value":5099,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1519,"base":12},"right_expr":{"type":"numeric_atoms","value":6469,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2539,"base":12}}}}},"used_operators":["Qy55tPpLXF","t8gj7n24qd","9FxExcQeMw","XPYlsWDdGa","DyGG3AbaNP","Asc51vEJeQ","LRNGc0VcxI","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3076","layer":4},{"info":"compute unary expreesion, input=3076, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6152","layer":3},{"info":"number node, value=1859","layer":4},{"info":"number node, value=5099","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=5099, 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=6152, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=1519","layer":4},{"info":"number node, value=6469","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=6469, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4950","layer":3},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5078","layer":3},{"info":"compute binary expreesion, left_input=4950, right_input=5078, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(-(⪲⇎⫖↰⪸1944)⩷∴⫖↰⪸10AB∼⫖↰⪸2B4B)⋥≓≎(↣≠⋷((⫖↰⪸A67⨳⩥⨓⫖↰⪸38B1)∀⇚≩(⪲⇎⫖↰⪸1577)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(-(⪲⇎⫖↰⪸1944)⩷∴⫖↰⪸10AB∼⫖↰⪸2B4B)⋥≓≎(↣≠⋷((⫖↰⪸A67⨳⩥⨓⫖↰⪸38B1)∀⇚≩(⪲⇎⫖↰⪸1577)))","cot":[{"info":"⪲⇎⫖↰⪸1944=⫖↰⪸3688","layer":3},{"info":"⫖↰⪸10AB∼⫖↰⪸2B4B=NaN","layer":3},{"info":"⫖↰⪸3688⩷∴NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫖↰⪸A67⨳⩥⨓⫖↰⪸38B1=⫖↰⪸2A46","layer":3},{"info":"⪲⇎⫖↰⪸1577=⫖↰⪸2B32","layer":3},{"info":"⫖↰⪸2A46∀⇚≩⫖↰⪸2B32=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}